Answer:
67.75
Step-by-step explanation:
[tex]84.95 - 2.15 \cdot (3.91 - 1.91)^3[/tex]
[tex]3.91-1.91=2[/tex]
[tex]2^3=8[/tex]
[tex]2.15\cdot8=17.2[/tex]
[tex]84.95 -17.2=67.75[/tex]
So, the final answer is 67.75
rank the magnitude of each object’s acceleration from greatest to least. disregard the direction of the accelerations.
The rank of object according to acceleration from greatest to least is:
C = B > A
In the given question, we have to rank the magnitude of each object's acceleration from greatest to least: Disregard the direction of the accelerations.
The acceleration is given by:
a = [tex]\frac{dv}{dt}[/tex]
where, dv represents change in velocity and dt represents change in time.
Also, Acceleration = slope of velocity - time graph
For object A acceleration is 0 because velocity is constant.
Now for object B:
[tex]a_{B}=\frac{5-0}{10-0}[/tex]
[tex]a_{B}=\frac{5}{10}[/tex]
[tex]a_{B}=\frac{1}{2}[/tex]
[tex]a_{B}[/tex] = 0.5 m/s square
Now for the object C:
[tex]a_{C}=\frac{-5-0}{10-0}[/tex]
[tex]a_{C}=-\frac{5}{10}[/tex]
[tex]a_{C}=-\frac{1}{2}[/tex]
[tex]a_{C}[/tex] = -0.5 m/s square
As we know that magnitude cannot be negative, so
[tex]a_{C}[/tex] = 0.5 m/s square
As we can see that acceleration of object B and C is same although the acceleration of object A is 0 which is smaller than the acceleration of B and C.
So the rank of object according to acceleration from greatest to least is:
C = B > A
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The complete question is:
The figure below shows velocity versus time graphs for objects. Rank the magnitude of each object's acceleration from greatest to least: Disregard the direction of the accelerations.
The work done in lifting a forty-pound crate three feet is ?
1. one hundred twenty foot-pounds
2. thirteen foot-pounds
3.thirty-seven foot-pounds
4.forty-three foot-pounds
The work done in lifting a forty-pound crate three feet is forty-three foot-pounds
Lifting a forty-pound crate three feet requires how much effort?The work done in lifting a forty-pound crate three feet is forty-three foot-pounds.Work is the amount of energy transferred when a force is applied over a distance. The equation to calculate work is Work = Force x Distance. In this case, the force is the weight of the crate, which is forty pounds, multiplied by the distance lifted, which is three feet.So, forty pounds multiplied by three feet is equal to forty-three foot-pounds of work.It is important to note that the weight of the crate is the same, no matter how far it is lifted. If the crate were to be lifted only one foot, the work done would still be forty pounds multiplied by one foot, or forty foot-pounds.If the crate were lifted six feet, the work done would be forty pounds multiplied by six feet, or one hundred twenty foot-pounds.In conclusion, the work done in lifting a forty-pound crate three feet is forty-three foot-pounds. It is important to remember that the amount of work done is dependent on both the force applied and the distance over which it is applied.To learn more about a work-energy equation refer to:
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Henry has worked for a factor for 31 years and will be retiring. He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782. His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked. Calculate his pension
After calculating the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked, the total pension is $2928.204.
In the given question, we have to calculate Henry pension.
Henry has worked for a factor for 31 years and will be retiring.
He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782.
His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1.9% of that average for each year he worked.
His earning over the past 4 years = $38433, $37776, $39125, $38782
The average of Henry earning = Sum of his earning over 4 years / number of years
The average of Henry earning = ($38433 + $37776 + $39125 + $38782)/4
The average of Henry earning = $154,116/4
The average of Henry earning = $38,529
Hence, the average of Henry last 4 years’ salaries is $38,529.
The pension is 1.9% of the average salary. So,
Pension = $38,529×1.9%
Pension = $38,529×0.019
Pension = $732.051
He worked for total 4 years. So,
Total pension = $732.051×4
Total pension = $2928.204
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molly wants to buy a skirt. the original price is $29. the skirt is on sale for 30% off. when she goes to pay for it the cashier tells her she can have an additional 20% discount off the sale price. not counting the sales tax, how much will molly pay for the skirt?
The total amount of money molly will pay for the skirt after the total discount is $14.5
How to determine discount?Original price of the skirt = $29
Percentage discount = 30%
Additional percentage discount = 20%
Total percentage discount = 30% + 20%
= 50%
Total amount molly paid for the skirt not counting the sales tax = $29 - (50% of $29)
= 29 - (0.50 × 29)
= 29 - 14.5
= $14.5
Hence, Molly will pay a total of $14.5 after deducting the discount.
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What decimal is equal to 38%
Answer:
0.38
Step-by-step explanation:
Percentage is number/100 = 38/100 = 0.38
Cheers
HELPPPPPPP
Robert pays for his family to go to the fair. He pays an initial entrance fee and an additional cost per ride as shown on the graph.
your answer is in given picture just go through them
What is the measurement of angle y??
Answer:
y = 154°
Step-by-step explanation:
Because angle z is a straight angle it is 180°.
26° + y = 180°
subtract 26.
y = 154°
Does (3, 3) make the equation y = –2x + 3 true?
yes
no
Answer:
yes
Step-by-step explanation:
replace both x and y in the equation with 3 and solve, you will get 3=3 so its true
Answer:
No
Step-by-step explanation: x y
First thing you have to do is plug y in for y. (3,3)
y= -2x+3
3= 2x+3
Then plug in x for x.
3 = -2(3) +3
Then solve the problem.
3= -6+3
3 = -3
From there we can tell that negative 3 is not the same as positive 3. Another thing you can do is go to desmos graphing calculator and type the equation in and see where the point (3,3) is located and notice that it does not go through the line from the equation.
12y-2x=12 i need helpppp
Answer:
[tex]y=\frac{1}{6}x + 1[/tex]
Step-by-step explanation:
12y - 2x= 12
12y= 2x + 12
/12 /12
y = 1/6x +1
Solve the system
xe^y+2e^y= 0
x² − 3x + y² = 19
please help
The solution to the system of equations is x = −2, y = ±√23.
What is equation?Equation is a math statement that expresses two expressions with an equal sign. It is used to find the value of an unknown variable or unknowns. Equations are used in many branches of mathematics and science. For example, equations are used to calculate the force of gravity, the speed of light, the temperature of a gas, and the area of a triangle. Equations are also used to solve problems in physics, chemistry, engineering, and other disciplines. Equations are written in symbols and often involve multiple equations.
This system can be solved by solving the two equations separately.
For the first equation, xe^y+2e^y= 0, we can rearrange it to get xe^y = −2e^y. We can then divide both sides by e^y to get x = −2.
For the second equation, x² − 3x + y² = 19, we can plug in the value of x that we found previously, x = −2, and rearrange the equation to get y² = 23, and then solve for y by taking the square root of both sides, giving y = ±√23.
Therefore, the solution to the system of equations is x = −2, y = ±√23.
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1. What set of and y creates the Pythagorean triple 12, 35, and 37? Use the polynomial identity (z² + y²)² = (x² - y²)² + (2xy)².
x = 2 and y = 6
x = 5 and y = 2
x= 6 and y = 1
x = 4 and y = 3
PLEASE ITS DUE
Answer:
(c) x = 6 and y = 1
Step-by-step explanation:
You want to know the values of x and y that make the set {2xy, x²-y², x²+y²} equal to the set {12, 35, 37}.
CluesThere are two clues that help you here:
The even number is 12, so 12 = 2xy, meaning xy = 6. There is only one answer choice that has a product of 6: x=6, y=1.The difference between (x²+y²) and (x²-y²) is 2y². The corresponding difference between the two odd numbers is 37-35 = 2, so 2y²=2, meaning y=1. There is only one answer choice like that: x=6, y=1.The values of x and y are (x, y) = (6, 1).
What is the gradient of the line y 7x 3?
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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A cell phone tower in a field casts a shadow of 100 ft. at the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. find the height of the tower in feet. (hint: make a drawing) a. 145 ft c. 100 ft b. 76 ft d. 135 ft
Answer: d 135 ft
Step-by-step explanation:
How do you solve natural log integrals?
When a line segment is divided in the ratio 2/3 How many parts is it divided into?
The line segment which is divided into the ratio 2 : 3 represents that line is divided into 5 equal parts.
As given in the question,
Let the given line segment be represents as AB .
And point C be the points which divide AB in the ratio 2 : 3.
The given ratio represents from AC is divided into 2 equal parts.
And BC is divided into 3 equal parts.
Total number of parts AB is divided into the ratio 2 : 3 is equal to
= 2 + 3
= 5 equal parts
Therefore, the line segment divided into the ratio 2 : 3 represents 5 equal parts.
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if heart disease death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people, how would the correlation r between wine consumption and heart disease death rate change?
The correlation coefficient, r, is a unitless measure and it is not affected by the units of measurement of the variables. Changing the units of measurement of one or both variables will not change the correlation coefficient.
If heart disease death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people, the correlation r between wine consumption and heart disease death rate would not change. The strength and direction of the linear link between two variables is measured by the correlation coefficient, or r.
The correlation coefficient is calculated by taking the covariance of the two variables and dividing it by the product of the standard deviations of the two variables. The covariance is a measure of how two variables vary together, and it is not affected by the units of measurement.
The standard deviation is also not affected by the units of measurement, as it is a measure of how much the data deviates from the mean.
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The horizontal asymptote determines the ________________ of the function.
A) holes.
B) domain.
C) range.
D) continuity.
Which linear system is Mcq?
A : y [ n ] = x [ n ] x x [ n - 1]
B : y [ n ] = x [ n ] + x [ n - 10]
C : y [ n ] = x 2 [ n ]
D : (a) and (c)
This is a linear system since it is a linear combination of the inputs x[n] and x[n-1].
A: y[n] = x[n] x x[n-1]
This is a linear system since it is a linear combination of the inputs x[n] and x[n-1]. We can represent this equation as:
y[n] = a * x[n] + b * x[n-1]
where a and b are constants.
For example, if x[n] = 2 and x[n-1] = 3 then y[n] = 2 x 3 = 6.
C: y[n] = x2[n]
This is also a linear system since it is a linear combination of the input x[n] and its squared value x2[n]. We can represent this equation as:
y[n] = c * x[n] + d * x2[n]
where c and d are constants.
For example, if x[n] = 2 then y[n] = c * 2 + d * 2² = c * 2 + d * 4.
Therefore, the correct answer is D: (a) and (c).
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7x2+6x+9
-(4x2+2x+1)
Answer:
[tex]3x^2+4x+8[/tex]
Step-by-step explanation:
To find the value of [tex]7x^2+6x+9-4x^2-2x-1[/tex]
We need to combine like terms by grouping
[tex]7x^2-4x^2+6x-2x+9-1[/tex]
= [tex]3x^2+4x+8[/tex]
Hope this helps :)
Have a great day!
6 x 6 x 6 x 6 × 6 written in exponential form
Draw a square with side length 7 cm
Answer:
u draw a square
Step-by-step explanation:
Look at problem 3. What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing? Explain your answer.
Step-by-step explanation:
1 gallon = 3.785411784... liters
so, you can pour 3 whole liters into the container.
it you pour 4 liters, the container will overflow.
1 gallon is more than 3 liters, but less than 4 liters.
How do you find the distance between L1 and L2?
The distance between the lines L1 and L2 given by √293/7.
What is the minimum distance between two lines?The distance is the angular separation between any two points on one line. Eventually, the smallest distance between these lines is zero. The distance between the lines is the same length as the perpendicular between them.
Finding two locations P1 and P2 on L1 and L2 separately will help us determine the shortest path between them. We then need to project P1P2 in the direction n that is perpendicular to both L1 and L2 to arrive at the answer. To put it another way, L1 - L2 distance = COMPN (P1P2).
Let the two points be
[tex]$$\begin{aligned}& \vec{r}=\hat{1}+2 \hat{j}-4 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k}) \\& \vec{r}=3 \hat{i}+3 \hat{j}-5 \hat{k}+\mu(2 \hat{i}+3 \hat{j}+6 \hat{k})\end{aligned}$$[/tex]
These two lines pass through the points having position vectors [tex]$\overrightarrow{a_1}=\hat{i}+2 \hat{j}-4 \hat{k}$[/tex]and [tex]$\overrightarrow{a_2}=3 \hat{i}+3 \hat{j}-5 \hat{k}$[/tex] are parallel to the vector [tex]$\vec{b}=2 \hat{i}+3 \hat{j}+6 \hat{k}$[/tex]
Now, [tex]$\overrightarrow{a_2}-\overrightarrow{a_1}=3 \hat{i}+3 \hat{j}-5 \hat{k}-\hat{i}-2 \hat{j}+4 \hat{k}=2 \hat{i}+\hat{j}-\hat{k}$[/tex] and [tex]$\left(\overrightarrow{a_2}-\overrightarrow{a_1}\right) \times \vec{b}=(2 \hat{i}+\hat{j}-\hat{k}) \times(2 \hat{i}+3 \hat{j}+6 \hat{k})$[/tex]
[tex]$$\begin{aligned}& =\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \\2 & 1 & -1 \\2 & 3 & 6\end{array}\right| \\& =\hat{i}(6+3)-\hat{j}(12+2)+\hat{k}(6-2) \\& =9 \hat{i}-14 \hat{j}+4 \hat{k}\end{aligned}$$[/tex]
[tex]$$\left|\left(\overrightarrow{a_2}-\overrightarrow{a_1}\right) \times \vec{b}\right|=\sqrt{9^2+(-14)^2+4^2}=\sqrt{81+196+16}=\sqrt{293}$$\pi[/tex]
and [tex]$|\vec{b}|=\sqrt{2^2+3^2+6^2}=\sqrt{4+9+36}=7$[/tex]
The shortest distance between the two lines exists given by [tex]$\frac{\left|\left(\overrightarrow{\mathrm{a}_2}-\overrightarrow{\mathrm{a}_1}\right) \times \overrightarrow{\mathrm{b}}\right|}{|\overrightarrow{\mathrm{b}}|}=\frac{\sqrt{293}}{7}$[/tex]
Therefore, the distance between the lines L1 and L2 given by √293/7.
The complete question is;
Find the distance between the lines L1 and L2 given by
[tex]$$\vec{r}=\hat{1}+2 \hat{j}-4 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k}) \text { and } \vec{r}=3 \hat{i}+3 \hat{j}-5 \hat{k}+\mu(2 \hat{i}+3 \hat{j}+6 \hat{k})$$[/tex]
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A dozen eggs cost $3.84.at this rate , how much would 50 eggs cost?
Answer: $16
Hope this helps :)
Step-by-step explanation:
Find the unit rate and multiply by 50
1 Dozen=12 Eggs
1 Dozen= $3.84
3.84/12= .32 per egg
.32*50= 16
Adeleye buys a television set which costs $400.he pay a deposit of 30%.how much does he still have to pay
Answer:
$280
Step-by-step explanation:
30% of 400=120, 400-120=280
Ms. Grove has trays of paint for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction it the colors in 20 trays is purple?
Answer: 1
Step-by-step explanation: Find the total number of colors in the trays. There are 5 colors in each tray. Then Find the number of colors in the purple tray. There is only one color in the purple tray, so the number is 1.
How do you write 5 is less than 10?
The answer of 5 less than 10 is 5.
The answer of 5 less than 10 is 5 which can be derived using simple mathematical calculations.
To find 5 less than 10, you can subtract 5 from the original number 10.
10 - 5 = 5
It's a simple arithmetic operation where you subtract a specific number, in this case, 5, from the original number.
An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.
Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.
Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.
Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.
Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.
Therefore, The answer of 5 less than 10 is 5.
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Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 1 options: y = x + 3 y = x – 3 y = x – 3 y = x + 3
Option 1 is Correct. For the line connecting the two locations, an equation in slope-intercept form is. y = x + 3
A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
y=mx+c
y= (6+3)/(4+2)
y= 9/6
y= 3/2
equation = y+6 =3/2(x-2)
2y+12=3x-6
y=x-3
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Correct Question:
Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 1 options:
1. y = x + 3
2. y = x – 3
3. y = x – 3
4. y = x + 3
For what value of K is a perfect square?
For r [tex]$\mathrm{k}=0$[/tex]or[tex]$\mathrm{k}=3$,[/tex] the given equation will be a perfect square.
How to identify perfect square of equations?When a number's square root, which is the product of an integer and itself, is an integer, it is said to be a perfect square or a square number. 216's square root, as we all know, is roughly equal to 14.697. In this case, 216's square root is not an integer.When a number's square root, which is the product of an integer and itself, is an integer, it is said to be a perfect square or a square number. 216's square root, as we all know, is roughly equal to 14.697. In this case, 216's square root is not an integer. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."[tex]$$(4-k) x^2+(2 k+4) x+8 k+1=0$$[/tex]
Here, [tex]$a=4+k, \quad b=2 k+4, \quad c=8 k+1$[/tex]
The given equation will be a perfect square, i.e., real and equal roots if
[tex]& \mathrm{D}=0 \\[/tex]
[tex]& \mathrm{~b}^2-4 \mathrm{ac}=0 \\[/tex]
[tex]& (2 \mathrm{k}+4)^2-4(4-\mathrm{k})(8 \mathrm{k}+1)=0 \\[/tex]
Then,
[tex]& 4 \mathrm{k}^2+16+16 \mathrm{k}-4\left(32 \mathrm{k}-8 \mathrm{k}^2+4-\mathrm{k}\right)=0 \\[/tex]
Simplifying,
[tex]& \mathrm{k}^2+4+4 \mathrm{k}-32 \mathrm{k}+8 \mathrm{k}^2-4+\mathrm{k}=0 \\[/tex]
[tex]& 9 \mathrm{k}^2-27 \mathrm{k}=0 \\[/tex]
[tex]& \mathrm{k}^2-3 \mathrm{k}=0 \\[/tex]
So,
[tex]& \mathrm{k}(\mathrm{k}-3)=0 \\[/tex]
Get,
[tex]& \mathrm{k}=0[/tex] or [tex]\mathrm{k}=3[/tex]
Hence for [tex]$\mathrm{k}=0$[/tex]or[tex]$\mathrm{k}=3$,[/tex] the given equation will be a perfect square.
The complete question is,
For what value of [tex]$\mathrm{k},(4-\mathrm{k}) \mathrm{x}^2+(2 \mathrm{k}+4) \mathrm{x}+(8 \mathrm{k}+1)=0$[/tex] is a perfect square:
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For k=0 or k=3, the given equation will be a perfect square.
4−k)x 2 +(2k+4)x+8k+1=0
Here, a=4+k,b=2k+4,c=8k+1
The given equation will be a perfect square, i.e., real and equal roots if
D=0
b2 −4ac=0
(2k+4) 2 −4(4−k)(8k+1)=0
4k 2 +16+16k−4(32k−8k 2+4−k)=0
k 2+4+4k−32k+8k 2−4+k=0
9k 2−27k=0
k 2−3k=0
k(k−3)=0
k=0 or k=3
Hence for k=0 or k=3, the given equation will be a perfect square.
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A bedroom door in the house has the same dimensions length and all at the front door. The length is 30 in rather than 63 how much is the value of the front doors in the bedroom door
The front door is twice as long as the bedroom door.
A bedroom door in the house has the same dimensions and length and all at the front door. The length is 30 in rather than 63. If the bedroom door has a length of 30 inches, and the front door has the same dimensions but is longer, we can compare the two lengths using a proportion.
We can write the proportion as 30 inches / x inches = 1/2, where x is the length of the front door. To find the length of the front door, we can cross-multiply and solve for x: x = 30 inches * 2 = 60 inches. So the front door is 60 inches long, which is twice as long as the bedroom door.
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