What is the perimeter of the following kite?

Our current discovery of the vertex, 3,147, indicates that the maximum height of the ball is 147 feet.

= -(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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The kind of system and equation that has many solutions is a linear system of equations with infinitely many solutions.

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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Skydiver took 15√3 seconds to freefall 1200 feet.

What is arithmetic?

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Here, we have

Given: A skydiver falls at a rate of t = 0.75√x seconds to freefall x feet.

x = 1200 feet

Now, we put the value of x in t = 0.75√x and we get

t = 0.75×√1200

t = 0.75× 20√3

t = 15√3

Hence, Skydiver took 15√3 seconds to freefall 1200 feet.

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The required way to find  the solution set of a system of equations is described.

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.

Then we will get the required variables in this system.

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a. The length of the rectangular parking lot is  97 units.

b. The width of the rectangular pool is 72 metres.

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

Therefore,

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

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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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.

The measure of two angles which are in the ratio of 4 : 7 are 4° and 14° respectively.

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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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].

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.

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 properties of radicals to simplify the expression is 2 √22. .

[tex]\sqrt[3]{6} * \sqrt[3 ]{72} / \sqrt[3]{2}[/tex] =2 √22.

2 √22 = 88 .

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Overall velocity FORWARDS in m/s is 1.66

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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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)

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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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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For the highest mathematics performance, mathematical literacy training (MLT) using virtual-based mathematics kits (VMK).

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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Answer:

  6⁸ = 1679616

Step-by-step explanation:

You want to simplify the expression (6²)⁴.

The 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>

Answer:

area=262.5

Step-by-step explanation:

15x10=150

15x15=225

225÷2=112.5

150+112.5=262.5

The expression for the solution is 6x² - 18x - 4x + 12

We have different methods of solving quadratic equation, they include;

From 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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Simply multiply the number of moles by 24 to obtain the volume of gas in dm3 at standard pressure and temperature.

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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Amount of the check is $259.99.

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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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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Answer:

12f = 48

Step-by-step explanation:

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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The equation that could be used to find how many students are in the class is → {2x + 8 = 3x - 11}.

Given is that the teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short

Let the number of sheets be {y} and the number of students be {x}. We can write -

y = 2x + 8

y = 3x - 11

Equating both -

2x + 8 = 3x - 11

Therefore, the equation that could be used to find how many students are in the class is → {2x + 8 = 3x - 11}.

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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:

5x - 5 + 2x + 10 = 180° (Angles on a straight line)

5x + 2x - 5 + 10 = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

We know that,

Put the value of x

∠2 = 2(25) + 10

∠2 = 50 + 10

∠2 = 60°

[tex]\rule[225]{225}{2}[/tex]

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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Consequently, the total number of days required to exit the well is 28.

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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Barbara has 6 nickels, 8 dimes and 5 quarters in her purse

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

We 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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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

-----------

98/102 > 97/101 - put it in

------------------------

98 x 101/102 x 101 > 97 x 102/101 x 102

The measure of segment UY from the given triangle WUY is 90 units.

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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The value of sinB using trigonometry ratio is 8/17 (optionB)

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opposite/ hypotenuse

cos ( tetha) = adjascent/ hypotenuse

tan (tetha) = opposite/adjascent

In the triangle 8 is the opposite to angle B and 15 is the adjacent to angle B and 17 is the hypotenuse.

sinB = opposite/ hypotenuse

sinB = 8/17

therefore the value of sinB = 8/17

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Using the sine ratio, sin B is calculated as: B. 8/17.

The sine ratio is a formula of the trigonometry ratios that is used to solve a right triangle. It is given as:

sin ∅ = length of opposite side / length of hypotenuse.

Given the following:

Length of opposite side = 8

Hypotenuse length = 17

Reference angle (∅) = B

Substitute the values into the sine ratio formula:

sin B = 8/17

Therefore, the value of sin B is expressed as: B. 8/17.

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