Question 32.
Which of these lines is perpendicular
to the line 7y = -8x + 1?
A. 7y = -8x + 9
B. 7y = 8x + 9
C. 8y = -7x + 6
D. 8y = 7x + 6

Answer:

8.5 hrs? direct variation

Step-by-step explanation:

60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator

600/60 =10

600/70 = 8.5

and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure

Answer:

First Game: She wins

Second game: She loses

Third game: She loses

Step-by-step explanation:

If the graph go down she loses, if it goes up she win.

for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5

on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33

and so on

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Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

Answer:

it is 7

Step-by-step explanation:

Answer: extact answer = 11.7
round it up = 12

Step-by-step explanation:

divide 270 pieces of candy with 23 classmates

270/23= 11.7

The total number of students does the teacher has is 23.

Given that,

The teacher divided the class into three groups of three, each with two girls and one boy, for a group assignment. Each girl was a part of a group, but there was no group for the 14 boys. Observing this, the teacher decided to divide the class into groups of two boys and one girl. This time, only 1 girl and 1 boy had a group.

We have to find what number of pupils does this teacher have.

We know that,

3(2+1)+14=23

7(2+1)+1+1=23

Therefore, The total number of students does the teacher has is 23.

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Answer:

your answer is 16.5

Step-by-step explanation:

First, turn 15% into a decimal; which is .15

Second, multiply .15 by 110 and you get 16.5

soooo your answer is 16.5

(use symbolab I use it all the time)

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17

The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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Answer:

x= 4 or <

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The dimensions of the park are obtained as 180 yards and 140yards respectively.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Suppose the width of the rectangle be x yards.

Then, its length is given as x - 40 yards.

Since, the perimeter of a rectangle is given as 2(l + b).

Substitute the corresponding values to get the equation as follows,

640 = 2(x - 40 + x)

=> 640 = 2(2x - 40)

=> 2x - 40 = 640/2

=> 2x - 40 = 320

=> x = 360/2 = 180

Then, the length is given as 180 - 40 = 140 yards.

Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.

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Answer: the answer should be 4.5

Step-by-step explanation:

Answer:

4.50

Step-by-step explanation:

d = distance between points

\(d=\sqrt{(x2-x1)^2 + (y2-y1)^2\)

\(d=\sqrt{(-1 - (-3))^2 + ( 4-8)^2)\)

\(d=\sqrt{(2^2 + (-4)^2)\)

\(d=\sqrt{(4+16)\)

\(d=\sqrt{ 20\)

= 4.47 ~ 4.50

The output when three workers are hired is 5 units..

To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.

Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)

Calculate the total cost.
TC = $130 + $120
TC = $250

Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5

Therefore, the output when three workers are hired is 5 units.

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Answer:

Venus 170 million km

Mars 253 million km

Step-by-step explanation:

(a) To find the velocity of point P, we can add the translational velocity of the centre of mass with the rotational velocity of the wheel about its own axis.

Let's assume that the angular velocity of the wheel is ω, and the linear velocity of the centre of mass is v. The velocity of any point on the circumference of the wheel can be expressed as the sum of the velocity of the centre of mass and the velocity due to rotation about its own axis.

The tangential velocity of P due to rotation is given by vT = ωR.

The direction of this velocity is perpendicular to the radius vector OP and is along the tangent to the circle at point P.

The radial velocity of P due to rolling motion is given by vR = v cos Θ.

The net velocity of P is given by the vector sum of these velocities:

vP = √(vT² + vR²)

Substituting the values of vT and vR, we get:

vP = √((ωR)² + (v cos Θ)²)

vP = √(ω²R² + v²cos²Θ)

Using the identity sin²θ + cos²θ = 1, we can write:

vP = √(ω²R² + v²(1 − sin²Θ))

vP = √(ω²R² + v² − v²sin²Θ)

vP = v √(1 + (ωR/v)² − sin²Θ)

Since v = ωR, we get:

vP = v √(1 + sin²Θ)

vP = v √2(1 + sin Θ)

(b) The angle φ made by the velocity vector with the x-axis is given by:

tan φ = vT/vR

tan φ = (ωR)/(v cos Θ)

tan φ = ωR/vP

Using the value of vP from part (a), we get:

tan φ = ωR/[v √2(1 + sin Θ)]

tan φ = ωR/(v √2) * 1/√(1 + sin Θ)

tan φ = R/(√2 cos Θ) * 1/√(1 + sin Θ)

tan φ = 1/√2 * 1/[cos Θ √(1 + sin Θ)]

tan φ = −1/√2 * 1/[sin(π/4 − Θ/2) √(1 + sin Θ)]

Hence, the net velocity vector at point P makes an angle φ with the x-axis given by:

φ = − arctan[1/√2 * 1/[sin(π/4 − Θ/2) √(1 + sin Θ)]]

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_______

\(0.55 \to0.1\)

\( = \frac{55}{100} \to \frac{10}{100} \)

\( = 55\% \to10\%\)

= -45%

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

Answer:

a mile and 2/4

Step-by-step explanation:

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{5-2}{2-(-2)}\)

\(m=\dfrac{3}{2+2}\)

\(m=\dfrac{3}{4}\)

Therefore, the slope of the given graphed line is \(m=\dfrac{3}{4}\).

Answer:

yes

Step-by-step explanation:

-24 is. a whole number so it would be greater

Answer:

20 yards

Step-by-step explanation:

By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x

We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.

We can solve that for x, so we can find each side measurements' numerical value.

(1+3+4+6+9)x=115

(23)x=115

x=115/23

x=5

So the side measurements are:

1x=1(5)=5

3x=3(5)=15

4x=4(5)=20

6x=6(5)=30

9x=9(5)=45

The third longest sife is 20 yards.

Answer:

m L 1 = 60° (correct)

m L 13 = 80° (correct)

m L 6 = 80° (incorrect) it should be 120°

m L 5 = 60° (correct)

m L 10 = 120° (incorrect) it should be 100°

m L 14 = 100° (correct)

The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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Answer:

Step-by-step explanation:

By using linear equations it can be concluded that the systolic blood pressure of a newborn is 95 mm hg.

Linear equations are one of the equations of algebra where this equation contains constants with a single variable.

The equation represents the linear model for the systolic blood pressure of people of several different ages data is y = x + 95.

We want to know the systolic blood pressure of a newborn, which means that the age is 0. It can be written mathematically as x = 0.

Now we input this value into the equation:

y = x + 95

  = 0 + 95

  = 95 mm hg

Thus the systolic blood pressure of a newborn is 95 mm hg.

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Answer:

y=-5/2+7

Step-by-step explanation:

we know the slope is -5/2

y=mx+b

where m is the slope and b is the y intercept

y=-5x/2+7 is the equation of line passes through the point (4. -3) and has a slope of -5/2

y=mx + c is the slope intercept form of line where m is the slope.

The equation of line passing through a point is

y-y₁=m(x-x₁)

Here y₁=-3 and x₁=4 and m=-5/2

y-(-3)=-5/2(x-4)

y+3=-5x/2+20/2

y+3=-5x/2+10.

y=-5x/2+10-3

y=-5x/2+7.

Therefore equation in slope-intercept form is y=-5x/2+7.

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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Step-by-step explanation:

Let's make the number we're finding to be \(a\). So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be \(\frac{a}{4} +12\\\). It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be \(\frac{a}{3} -5\\\). Since they are the same, we have the equation below.

\(\frac{a}{4} +12 = \frac{a}{3} -5\\\)

All we have to do now is to find \(a\).

\(\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204\)

Our number must be \(204\). I think