The result of the numeric expression is given as follows:
110.
How to solve the arithmetic expression?
The arithmetic expression for this problem is defined as follows:
-7+[-5+2 × (3-8×5)] - (-3) (-1) + 9
Outside the brackets, the multiplication takes precedence, hence:
(-3) x (-1) = 3.-(-3) x (-1) = -3.-7 - 3 + 9 = -10 + 9-10 + 9 = -1.Hence the expression can be simplified as follows:
-1 + [-5+2 × (3-8×5)]
Outside the parenthesis, we have that:
-5 + 2 = -3.
Inside the parenthesis, the multiplication takes precedence, hence:
3 - 8 x 5 = 3 - 40 = -37.
Hence:
-1 + [-5+2 × (3-8×5)] = -1 + [-3 x (-37)]
Applying the multiplication and the addition, the result of the expression is given as follows:
-1 + [-3 x (-37)] = -1 + 111 = 110.
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»Miguel está publicando fotos en el sitio web de una escuela. Tiene 48 fotos y puede usar 12 páginas. Quiere poner el mismo número de fotos, f, en cada página. ¿Qué ecuación representa la situación? 48 = f - 12 12f = 48 48f = 12 12 + f = 48
Answer:
12f = 48
Step-by-step explanation:
use substitution to solve the system of equations
A system must contain an equal number of equations and unknowns in order to have a single solution. A resolution is not assured even then.
What is meant by system of equation?system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system).The number of equations must match the number of unknowns for a system to have a singular solution. A solution is not assured even then. When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve applications. Generally speaking, if there are n unknowns, we require n equations set up in those unknowns.15 - 5x + 4y = 20
Move 4y to the right side
15 - 5x = 20 - 4y
Move 15 to the right side
-5x = -4y + 5
Divide both sides by -5
[tex]$\frac{-5 x}{-5}=-\frac{4 y}{-5}+\frac{5}{-5}[/tex]
Simplify
[tex]$x=-\frac{-4 y+5}{5}[/tex]
10x - 5y = 40
Move 5y to the right side
10x = 40 + 5y
Divide both sides by 10
[tex]$\frac{10 x}{10}=\frac{40}{10}+\frac{5 y}{10}[/tex]
Then we get,
[tex]$x=\frac{8+y}{2}[/tex]
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Using substitution the solution of the system of equation is x = 2.4 and y = 4.
What is system of equation?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."
The given system of equation is:
15 - 5x + 4y = 20
10x - 5y = 40
Regroup the first equation. The first equation can be written as:
-5x + 4y = 5
In the second equation take the common term from both sides. The second equation can be written as:
5x - y = 8
Thus, the system of equation is:
-5x + 4y = 5 .... (1)
5x - y = 8 ...... (2)
From the second equation we have:
y = 5x - 8
Substitute the value of y on equation 1:
-5x + 4(5x - 8) = 5
-5x + 20x - 32 = 5
15x = 37
x = 2.4
Substitute the value of x in equation 2:
5(2.4) - y = 8
y = 4
Hence, using substitution the solution of the system of equation is x = 2.4 and y = 4.
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A frog at the base of a 40-foot deep well is leaping the wall to reach to its top. The first
is 10 feel the second jump is 7.5 feet, the third
Jump is 5.625 feet, and so on In each teap, the
frou jumps one fourth of the remaining
distance Determine the distance the frog leaps
in 10 jumps. Will the frog be able to come out
wale wellu 10 leaps
Consequently, the total number of days required to exit the well is 28.
How to find the calculation?It represents the taxonomical name, which assures that every creature has a single name made up of the genus and species.
Example :
A frog plunged 30 meters down a well while looking for water. Very erratically, it emerged from the well. It was able to advance 3 m each day, but the next night it fell 2 m. The time it took to exit the well was how many days?
Well depth is 30 m.
If a frog was able to advance 3 metres per day but fell 2 metres the following night,
The frog can climb one metre in a single day and 27 metres in 27 days.
It climbs 3 metres on the 28th day and exits the well.
Consequently, the total number of days required to exit the well is 28.
The Complete Question.
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Which expression can be used to find the solutions to the equation 6x² - 22x + 12 = 0?
The expression for the solution is 6x² - 18x - 4x + 12
How to determine the solutionWe have different methods of solving quadratic equation, they include;
Factorization methodUsing the quadratic formulaUsing completing the square methodFrom the information given, we the quadratic equation;
6x² - 22x + 12 = 0
Let's solve the quadratic equation by using the factorization method, we have;
Multiply the coefficient of x² by the constant
Then find the pair factors of the product that adds up to -22, we get;
-18 and -4
Substitute the values into the formula to determine the expression, we have;
6x² - 18x - 4x + 12 =0
group in pairs
(6x² - 18x) - (4x + 12) = 0
Hence, the expression is (6x² - 18x) - (4x + 12)
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4. The average salary of Chicago Bulls players in 2021-22 was $5,950,435. The median salary was only $1,669,178. Why is the average higher than the median?
O A. Some players make very low salaries, and these outliers pull the average down
O B. Some players' salaries are unknown.
OC. Some players make very high salaries, and these outliers pull the average up
OD. There's an unknown number of players on the team
Some players make very low salaries, and these outliers pull the average down. Option A is the correct option.
What is average of a data?
Averages are used to condense a large number of data points into a single value. It is a visual representation of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated. To determine the average age of the students in a class, the ages of all the students are taken into account and an average is calculated.
Given that the average salary of Chicago Bulls players was $5,950,435.
The median salary was only $1,669,178.
A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.
Since the median represents the mid-value of the data. The salary of some players may be very low. Thus median is less than the average salary.
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another one im straight bad at math yall
Answer:
60°
Step-by-step explanation:
substitute x=25 into 2x+10
2(25) + 10= 60
alternatively,
180°-120°= 60°
Answer:
[tex]\huge\boxed{\sf \angle 2 = 60\°}[/tex]
Step-by-step explanation:
From the given figure:5x - 5 + 2x + 10 = 180° (Angles on a straight line)
Combine like terms5x + 2x - 5 + 10 = 180
7x + 5 = 180
Subtract 5 from both sides7x = 180 - 5
7x = 175
Divide both sides by 7x = 175/7
x = 25We know that,
∠2 = 2x + 10Put the value of x
∠2 = 2(25) + 10
∠2 = 50 + 10
∠2 = 60°
[tex]\rule[225]{225}{2}[/tex]
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
Ad 3/4 + 3/4. Simplify the answer and write as a mixed number.
What is the answer?
Answer:
3/4 +3/4 =
¾+¾ = 6/4= 6/4 ÷2/2= 3/2.as a mixed number=
3÷2= 1 ½= 1 ½please help,please i need help on this question.
PLEASE HELPPP ON ITT
Answer:
To work this question out you need to split the shape from a complex shape to a simple shapes and finding the areas of those shapes and adding them together to get the area of the complex shape.
Looking at the figure we can make two simple shapes, a rectangle and a triangle.
To find the area of rectangle is calculated by multiplying the length and width. In this case, length is 11 and width is 8. So 11*8 = 88 cm^2.
To find the area of a triangle is by multiplying the base by the height and dividing by 2.
So for a triangle with a base of 11 and a height of 7:
(11 * 7) / 2 = 77 / 2 = 38.5
The area of the triangle is 38.5 cm^2
Therefore the area of the figure is 88 + 38.5 = 126.5cm^2
The height (in feet) of a javelin y seconds after it is thrown can be represented by the function h(y)= -16^2 +82t+5 Estimate the minimum value of the function
Our current discovery of the vertex, 3,147, indicates that the maximum height of the ball is 147 feet.
What is meant by mathematical function?A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed.The vertex at point (h,k) of a parabola, y = ax2 + bx + c, is first determined using the equation h = -b / 2a, and then that point is entered into the equation to determine kLet's now solve for h in this issue. We know that a = -16, b = 96, and c = 3 given the equation y = -16t2 + 96t + 3.h = -b/2a= -(96) / 2(-16) (-16)
h = -96 / -32
h = 3 sec.
Accordingly, the ball will reach its highest point after three seconds. However, the question of what that height is is problematic. In order to complete this phase, let's add t=3 to our equation:
y = -16t^2 + 96t + 3
y = -16*(3)^2 + 96*(3)+ 3
y = -144 + 288 + 3
y = 147 feet
Our current discovery of the vertex, 3,147, indicates that the maximum height of the ball is 147 feet.
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if x is a positive integer,the expression(1n) -2/3 is equivalent to?
The exponent expression [tex]\rm \left (\frac{1}{n} \right)^{-\frac{2}{3}}[/tex] will be equivalent to the exponent expression [tex]\rm \left (n \right)^{\frac{2}{3}}[/tex].
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The exponent expression is given below.
[tex]\rm \rightarrow \left (\dfrac{1}{n} \right)^{-\frac{2}{3}}[/tex]
We know that a⁻ⁿ = 1/aⁿ.
Simplify the exponent expression, then we have
[tex]\rm \rightarrow \left (\dfrac{1}{n} \right)^{-\frac{2}{3}}\\\\\rm \rightarrow \left (n ^{-1} \right)^{-\frac{2}{3}}\\\\\rm \rightarrow \left ( n \right)^{-1\times -\frac{2}{3}}\\\\ \rightarrow \left ( n \right)^{\frac{2}{3}}[/tex]
The exponent expression [tex]\rm \left (\frac{1}{n} \right)^{-\frac{2}{3}}[/tex] will be equivalent to the exponent expression [tex]\rm \left (n \right)^{\frac{2}{3}}[/tex].
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The correct question is attached below.
Which volume of carbon dioxide, at room temperature and pressure, is formed when 0.5 moles of ethane burn? A 48 dm³ B 24 dm³ C 12 dm³ D 6 dm³ A solution of ethanoic acid, CH3COOH, has a concentration of 2 mol/dm³.
Simply multiply the number of moles by 24 to obtain the volume of gas in dm3 at standard pressure and temperature.
What happens when ethane is burned?According to the chemical formula 2 C2H6 + 7 O2 → 4 CO2 + 6 H2O + 3120 kJ, the full combustion of ethane releases 1559.7 kJ/mol, or 51.9 kJ/g, of heat along with carbon dioxide and water. Amorphous carbon and carbon monoxide can be produced when combustion doesn't involve too much oxygen.
Exothermic reactions, such as the combustion of hydrocarbons, provide heat energy. To find the volume of gas in dm3 at room temperature and pressure, simply multiply the number of moles by 24.
The typical scenario is that you are following a recipe that, for instance, calls for a 0.5 molar solution of NaOH. As you are aware, "0.5 M" refers to 0.5 moles per liter.
Therefore, the correct answer is option B 24 dm³.
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1.11 which graphical display should you use? for each of the following scenarios, decide which graphical display (pie chart, bar graph, stemplot, or histogram) you would use to describe the distribution of the variable. give a reason for your choice and, if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative
For A: Bar graph; for B: Histogram; for C: Pie chart; and for D: Bar graph would be appropriate graphical representations.
a. The number of sales for your online company on each of the seven days in the past week:
The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.
b. The amounts of each of the sales on Monday of the past week:
A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.
c. The number of items bought by each of the customers who made a purchase on Monday of the past week:
A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.
d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:
A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.
"
Complete question
Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.
a. The number of sales for your online company on each of the seven days in the past week.
b. The amounts of each of the sales on Monday of the past week.
c. The number of items bought by each of the customers who made a purchase on Monday of the past week.
d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.
"
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Consider the quadratic function y = ax2.
As |a| increases, the graph
.
As |a| decreases, the graph
.
As |a| increases, the graph of the quadratic function y = ax^2 will become more steep and narrow. The vertex of the parabola will be at the origin (0,0) and the parabola will open upward if a>0 and open downward if a<0.
What exactly is a math graph?
In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).
As |a| decreases, the graph of the quadratic function y = ax^2 will become less steep and wider. The vertex of the parabola will still be at the origin (0,0) and the parabola will open upward if a>0 and open downward if a<0.
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27 is what percent of 72?
Answer:
37.5%
Step-by-step explanation:
What is mLT?
mLT=
Info:
W
T
U
V
88°
For the highest mathematics performance, mathematical literacy training (MLT) using virtual-based mathematics kits (VMK).
What is mathematical literacy training?For non-math and non-science majors, Mathematical Literacy for College Students is a one-semester course that integrates numeracy, proportional reasoning, algebraic reasoning, and functions. Students will acquire conceptual and methodological tools that support the application of fundamental mathematical ideas in a range of contexts.
Indicators of mathematical thinking and reasoning include the following:
1) posing problems mathematically;
2) knowing a variety of answers that mathematics can provide;
3) differentiating between various statements;
4) understanding the scope and boundaries of mathematical concepts and being able to work around them.
Making connections, visualizing, inferring, asking questions, categorizing, and synthesizing are six examples of these techniques. Let's examine more closely how these six literacy techniques impact reading comprehension.
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A quadrilateral has two angles that measure 24° and 314°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?
The measure of two angles which are in the ratio of 4 : 7 are 4° and 14° respectively.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
We know the sum of all the interior angles in a quadrilateral is 360°.
Let, 'k' be the ratio multiplier.
Therefore, From the given information we can write,
24° + 314° + 4k + 7k = 360°.
11k = 360° - 338°.
11k = 22.
k = 22/11.
k = 2.
So, The angle 2k is 4° and the angle 7k is 14°.
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VX is a midsegment of UWY
If UY = 13p - 1 and VX = 20p - 95, what is UY
The measure of segment UY from the given triangle WUY is 90 units.
What is midpoint theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.
Given that, VX is a midsegment of ΔUWY.
UY=13p-1 and VX=20p-95.
Since, VX is a midsegment of a triangle, we have
VX= 1/2 (UY)
20p-95 =1/2 ×(13p-1)
40p-190=13p-1
27p=189
p=189/27
p=7
So, UY=13p-1
UY=13(7)-1
UY=90 units
Therefore, the measure of segment UY is 90 units.
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OMG HELP
whats the difference between log x + 1 and log (x + 1) ?
( the logs are base 2 if that makes any difference )
The difference between log x + 1 and log (x + 1) is that their solution is respectively;
1) (log x) + 1
2) log (x + 1) = log(x/1)
How to solve Logarithm problems?There are different rules of logarithm such as;
1) Product rule;
Log (M * N) = Log M + Log N
2) Quotient rule;
Log (M/N) = Log M - Log N
3) Power rule;
Log Mⁿ = NLog M
Now, we want to find the difference between log x + 1 and log (x + 1) .
Thus;
log x + 1 can also be expressed as;
(log x) + 1
Meanwhile using product rule of logarithm, we get that;
log (x + 1) = log(x/1)
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Use the properties of radicals to simplify the expression
The properties of radicals to simplify the expression is 2 √22. .
What characteristics does a radical expression have?Using Radical PropertiesAn expression that contains a radical is referred to as a radical expression. When all three requirements are satisfied, an expression containing a radical with index n is expressed in its simplest form. No radicands other than one have perfect nth powers as factors. There are no fractions in radicands.The product property of radicals and the quotient property of radicals are obtained by combining these two things. These two characteristics demonstrate that the square root of a product is equal to the sum of its component square roots. The denominator of a fraction has no radicals.[tex]\sqrt[3]{6} * \sqrt[3 ]{72} / \sqrt[3]{2}[/tex] =2 √22.
2 √22 = 88 .
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i need help quick!!! please answer
Answer:
area=262.5
Step-by-step explanation:
15x10=150
15x15=225
225÷2=112.5
150+112.5=262.5
(a)The perimeter of a rectangular parking lot is 368
If the width of the parking lot is 87, what is its length?
(b)The area of a rectangular pool is 6768 m^2.
If the length of the pool is 94m , what is its width?
a. The length of the rectangular parking lot is 97 units.
b. The width of the rectangular pool is 72 metres.
How to find the length and width of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.
The perimeter of a rectangular parking lot is 368 units . The width of the parking lot is 87 units. Therefore,
Perimeter of the parking lot = 2(l + w)
where
l = lengthw = widthTherefore,
368 = 2(l + 87)
368 = 2l + 174
368 - 174 = 2l
194 = 2l
divide both sides by 2
l = 194 / 2
l = 97 units
Hence,
length of the parking lot = 97 units
The area of a rectangular pool is 6768 m². The length of the pool is 94 metres. The width of the pool is as follows;
area of the rectangular pool = lw
6768 = 94w
divide both sides by 94
w = 6768 / 94
w = 72 metres
Therefore,
a. length of the parking lot = 97 units
b = width of the rectangular pool = 72 metres
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a. The length of the parking space with perimeter 386 is 97
b. The width of the pool with area 6768 is 72m
What is Area and perimeter of a rectangle?The area of the rectangle is the space covered by it.
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The perimeter of a rectangle = 2(l+w)
368 = 2( l+w)
divide both sides by 2
l+w= 368/2
l+87 = 184
l = 184-87
l= 97
therefore the length of the parking space is 97
The area of a rectangle = l× w
6768 = 94 × w
divide both sides by 94
w = 6768/94
w = 72m
therefore the width of the pool is 72m
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Justin completed a check stub for his law office. At the end of the month, he reviewed the check stub and discovered that he
forgot to record the amount of the check. Given the check stub below, find the amount of the check.
578
Amount
To
The Office Supply Warehouse
For Printer Paper and Ink
Balance Brought Forward
Amt Deposited
Total
Amt. This Check
Balance Forward.
5.678 25
246 75
5,925 00
5567 90
$271.49
$333.23
$357.10
$295.68
Amount of the check is $259.99.
What do you mean by amount deposit?Amount deposited refers to the total sum of money that is placed into a savings or investment account. This can include cash, checks, or electronic transfers. The purpose of depositing money into an account is typically to save it for future use, grow the balance through interest or other means, or to use it as collateral for loans or other financial instruments.
Depositing money into an account can be done at a bank, credit union, or other financial institution. There are different types of accounts available, including savings accounts, checking accounts, and investment accounts, each of which has its own rules and benefits.
Saving accounts typically offer low-risk, low-return options, while investment accounts may offer higher returns, but also carry more risk. Deposits into investment accounts are often made into stocks, bonds, or mutual funds. Checking accounts are typically used for day-to-day transactions, and typically do not offer high interest rates.
Regardless of the type of account, depositing money into it usually requires the account holder to provide personal information and identification, and to follow the rules and regulations set by the financial institution. The amount deposited into an account is usually insured by the government, up to a certain limit, to protect against theft, fraud, or other losses.
The amount of the check can be found by subtracting the balance brought forward from the balance carried forward.
Balance brought forward: $555.67
Balance carried forward: $295.68
Amount of the check: $555.67 - $295.68 = $259.99
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How do you find the solution set of a system of equations?
The required way to find the solution set of a system of equations is described.
What is system of equation?system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system). For a system to have a single solution, the number of equations must equal the number of unknowns.
According to question:Consider the two strategies of substitution and elimination for algebraically resolving systems of linear equations.Let's look at systems of linear equations graphically to better understand when they have one solution, no solutions, or infinitely many solutions.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.Then we will get the required variables in this system.
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Simplify the expression (6^2)4.
Answer:
6⁸ = 1679616
Step-by-step explanation:
You want to simplify the expression (6²)⁴.
Rules of exponentsThe applicable rule of exponents is ...
(a^b)^c = a^(bc)
Here, this means ...
[tex](6^2)^4=6^{2\times4}=\boxed{6^8=1679616}[/tex]
__
Additional comment
Your calculator is good at evaluating numerical expressions.
<95141404393>
barbara has nickels, dimes, and quarters worth $2.35 in her purse. the number of dimes is three less than the sum of the number of nickels and quarters. how many of each type of coin does she have if there are 19 coins total?
Barbara has 6 nickels, 8 dimes and 5 quarters in her purse
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
n = number of nickelsd = number of dimesq = number of quartersn +d + q = 19We know that the number of dimes is three less than the sum of the numbers of nickels and quarters, so:
d = n + q - 3
2.35$ is equal to 235 cents and nickels are worth 5 cents each, dimes 10 cents each, and quarters are 25 cents each. So the values of her coins are:
5n = value of the nickels
10d = value of the dimes
25q = value of the quarters
5n + 10d + 25q = 235
Solving the equations we have:
n +d + q = 19 (1)
d = n + q - 3 (2)
5n + 10d + 25q = 235 (3)
By ordering the variables in the (2) equation we have:
d = n + q - 3
d - n - q = - 3
- n + d - q = -3
n + d + q = 19 (1)
- n + d - q = -3 (2)
5n + 10d + 25q = 235 (3)
Substitute (d) for n + q - 3 in (1) and (2) equations.
n + n + q - 3 + q = 19
2n + 2q = 22
2(n+q) = 22
n+q = 22/2
n + q = 11 (4)
In (2) equation:
5n + 10(n + q - 3) + 25q = 235
5n + 10n + 10q - 30 + 25q = 235
15n + 35q = 265 (5)
We now have two equations in two unknowns instead of 3 unknowns:
n + q = 11 (4)
15n + 35q = 265 (5)
Multiply (4) equation by -15 and add:
-15n - 15q = -165
15n +35q = 265
20q = 100
q = 100/20
q = 5
Substitute for (q) in (4)
n + 5 = 11
n = 11-5
n = 6
Substitute (q) and (n) value in (1)
n +d + q = 19
6 + d + 5 = 19
d = 19 - 6 - 5
d = 8
Therefore, Barbara has 6 nickels, 8 dimes and 5 quarters
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You walk forward 10 meters, backwards 5 meters, and then 10 meters forwards in 15seconds. What is your overall velocity FORWARDS in m/s?
Overall velocity FORWARDS in m/s is 1.66
What is velocity?Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s). Alternatively, the centimeter per second (cm/s) can be used to express velocity magnitude. The direction of a velocity vector can be expressed in various ways, depending on the number of dimensions involved.
Let the forward displacement of the person is taken as positive and backward displacement is taken as negative;
You walk forward 10 meters;
displacement = = 10 meter
You walk backward 5 meters;
displacement = = -5 meter
You walk forward 10 meters,
displacement = = 10 meter
Total displacement = s =
s = 15 -5 +15
s = 25 meter
Total time taken is given;
t = 15 second
Average velocity = total displacement/total time
Average velocity = 25/15
Average velocity = 1.66
Therefore, the velocity will be 1.66 m/s
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Find the maximum value that the expression (a - b)/c attains if a,b and c are distinct integers greater than 100, but less than 200.
Step-by-step explanation:
We can count how many numbers.
There is 100 numbers.
Let's just sub it in.
For example, a = 120, b = 104, c = 106
Try it until it is all satisfied.
Answer:
a = 199, b = 101, c = 102
Step-by-step explanation:
a = 199
b = 101
c = 102
-----------
a = 199
b = 102
c = 101
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98/102 > 97/101 - put it in
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98 x 101/102 x 101 > 97 x 102/101 x 102
What is an example of an extraneous solution in math?
An example of an extraneous solution in math is solving the equation 1/(x−2) + 1/(x+2) = 4/(x−2)(x+2) for x.
An extraneous solution is a root of a transformed equation that is not the root of the original equation because it was excluded from the domain of the original equation.
Solve the equation 1/(x−2) + 1/(x+2) = 4/(x−2)(x+2) for x
1/(x−2) + 1/(x+2) = 4/(x−2)(x+2)
(x−2)(x+2)/(x−2) + (x−2)(x+2)/(x+2) = 4(x−2)(x+2)/(x−2)(x+2)
(x−2) + (x+2) = 4
2x = 4
x = 2
But 2 is excluded from the domain of the original equation because it would make the denominator of one of the fractions zero--and division by zero is not allowed. Therefore, it cannot be the root of the original equation. So, 2 is an extraneous solution. So, the equation has no solutions.
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What is the kind of system and equation if the linear equation has many solution?
The kind of system and equation that has many solutions is a linear system of equations with infinitely many solutions.
What is equation?Equation is an expression that states the equality of two things. It is usually written using mathematical symbols, and it typically contains an equals sign (=). An equation is used to describe a relationship between two or more variables, such as the relationship between the circumference of a circle and its radius, or the relationship between a certain amount of money and the amount of interest it will generate. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other disciplines.
This means that any combination of values for the unknowns that satisfies the equation will provide a solution. A linear system of equations can be written in the form of ax + by = c, where a, b, and c are all real numbers, and x and y are the unknown variables. When the equation has infinitely many solutions, it means that for any given value of a, b, and c, there is an infinite number of possible values for the unknowns x and y. This can be seen by looking at the graph of the equation, which will be a straight line that passes through the origin, and the line will have an infinite number of points on it.
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