Use the drop-down menus to complete each statement.

The function
has the same amplitude as the function y = cos(x – 4) + 1.

The function
is a translation of the parent cosine function.

Answer:

(6/5) mph

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

it is hard

Answer:

the letter m

Step-by-step explanation:

I don't believe there IS one, however I would say as a educated guess that it would most likely be SLO. or SP. I would normally just look it up from different sources and explain it to you, however my school has the term abbreviation against the rules for searching.

I hope this helps and have a Merry Christmas,

Miri

Answer:

3(16 + (─40) + 4) = -60

(─10 + 18) × (─1) = -8

Step-by-step explanation:

3(16 + (─40) + 4)

PEMDAS:

3(16+(-40)+4)

3(-24+4)

3(-20)

-60

(─10 + 18) × (─1)

PEMDAS:

(-10+18) x (-1)

8 x -1

-8

These are your answers

Hope this helps!

Hello,

According to given equations:-

\(3(16 + ( - 40) + 4)\)

\(3(16 + (40 - 4))\)

\(3(16 - 36)\)

\(3(36 - 16)\)

\(3 \times ( - 20)\)

\( - 60\)

\(( - 10 + 18) \times ( - 1)\)

\((18 - 10) \times ( - 1)\)

\(( 8) \times ( - 1)\)

\(-8\)

Note- When + and - signs are in one bracket, subtract greater from smaller, and put - sign in answer if greater number is negative or else, put + sign in answer when greater number is positive.

Hope it helps you....

Answered by Benjemin ☺️

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✅

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

\(m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2\)

So the equation of the line using point (-1,4) is

Hope this helps you

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

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The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration.

The generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration. The shear force at any section of the beam is equal to the rate of change of bending moment with respect to the length of the beam, that is,

V = dm/dx.

Here, the bending moment of a 12-m beam is

M(x) = 5x + 1/12x.

The objective is to determine the generalized numerical formula for calculating the shear force of a beam at length x using a 2-m interval.

To estimate the shear force for each 2-m segment of the beam, differentiate the moment equation with respect to x.

dM/dx = d/dx

(5x + 1/12 x) = 5 + 1/12.

Therefore, the shear force at any point x along the beam can be obtained by integrating dM/dx over a given length from the start of the beam.
∫(5 + 1/12)dx

= (5x + 1/12 x^2)/2 + C.

We can determine the constant of integration C by using the boundary condition that the shear force is zero at the start of the beam.

V(0) = 0

= (5*0 + 1/12 * 0^2)/2 + C.

Therefore, C = 0.

Hence the generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

here x is the length of the beam from the start.

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The probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

To determine the probability that at least one of the machines will work properly during the given 8-hour period, we can use the principle of complementary probability. We will find the probability that both machines fail and subtract it from 1.

Let's denote C as the event that both machine 1 and machine 2 fail to work properly. The probability of both machines failing is given by:

Pr(C) = Pr(A' ∩ B')

Since machine 1 and machine 2 operate independently, we can use the multiplication rule:

Pr(A' ∩ B') = Pr(A') * Pr(B')

Now, the complement of event A (machine 1 works properly) is the event that machine 1 fails to work properly. Therefore, Pr(A') is the complement of Pr(A):

Pr(A') = 1 - Pr(A)

Similarly, Pr(B') is the complement of Pr(B):

Pr(B') = 1 - Pr(B)

Substituting these values back into the equation, we have:

Pr(C) = (1 - Pr(A)) * (1 - Pr(B))

Now, let's calculate the probability that at least one machine works properly:

Pr(at least one machine works) = 1 - Pr(C)

Substituting the value of Pr(C) we obtained earlier, we have:

Pr(at least one machine works) = 1 - (1 - Pr(A)) * (1 - Pr(B))

Plugging in the given probabilities Pr(A) = 5/6 and Pr(B) = 10/11, we can calculate:

Pr(at least one machine works) = 1 - (1 - 5/6) * (1 - 10/11)
                               = 1 - (1/6) * (1/11)
                               = 1 - 1/66
                               = 65/66

Therefore, the probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

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The hypotenuse is therefore around 11.4 units long.

If one of a triangle's angles is 90 degrees or more, the triangle is said to be right-angled. The other two angles add up to 90 degrees. The sides that make up the right angle are perpendicular and the triangle's base.

where the hypotenuse length is c and the leg lengths are a and b, respectively.

The Pythagorean theorem can be used to determine the length of the hypotenuse of a right triangle with 7 and 9 unit legs:

a² + b² = c²

If we substitute 7 for letter a and 9 for letter b, we get:

7²+ 9² = c²

49 + 81 = c²

130 = c²

The result of squaring the two sides is: c = 130) 11.4

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Answer:

2 hours

Step-by-step explanation:

4 square yards to feet: 4*3 = 12ft

3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour

Time taken: 12ft/6ft per hour = 2 hours

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

Answer:

14.1, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 14.8, 14.9

Step-by-step explanation:

decimals

Answer:

14.3 and 14.4 But there are also all of the decimals in between

Step-by-step explanation:

14.3 is greater than 14 but at the same time less than 15

's' and 't' represent free parameters that can take on any real values.

In the given system of equations:

x1 - x2 + 4x3 = -4

6x1 - 5x2 + 7x3 = -5

3x1 - 39x3 = 45

To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:

Step 1: Write the augmented matrix for the system:

[1 -1 4 | -4]

[6 -5 7 | -5]

[3 0 -39 | 45]

Step 2: Perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 6R1

R3 = R3 - 3R1

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 3 -51 | 57]

Step 3: Perform additional row operations to further simplify the matrix:

R3 = R3 - 3R2

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 0 0 | 0]

Step 4: Write the system of equations corresponding to the row-echelon form:

x1 - x2 + 4x3 = -4

x2 - 17x3 = 19

0 = 0

Step 5: Express the variables in terms of a parameter:

x1 = s

x2 = 19 + 17s

x3 = t

where s and t are parameters.

Therefore, the solution to the system is:

[x1] = [s]

[x2] = [19 + 17s]

[x3] = [t]

In the provided solution format:

[x1] = [s] []

[x2] = [19 + 17s] + s []

[x3] = [t] [__]

Here, 's' and 't' represent free parameters that can take on any real values.

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Answer:

C or D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

sinx=9/19

sinx=0.47

opposite function on calculator

x= ~28

Answer:

28˚

Step-by-step explanation:

Answer:

690

Step-by-step explanation:

23% of 3000 is 690 (love your username btw; 2️⃣ Set

Answer:

31.4159265

that's what comes up on a calculator

(a) The partial derivative of the utility function with respect to x_2 is:
∂U/∂x_2 = -(1-α)ρx_2^(-ρ-1)(αx_1^(-ρ) + (1-α)x_2^(-ρ))^(-1/ρ - 1)

(b) The expression is MRS = αρx_1^(-ρ) / (1-α)ρx_2^(-ρ)

(c) the preferences represented by this function are homothetic.

(a) To find the marginal utility of both goods, we need to take the partial derivatives of the utility function with respect to each good.

The partial derivative of the utility function with respect to x_1 is:
∂U/∂x_1 = -αρx_1^(-ρ-1)(αx_1^(-ρ) + (1-α)x_2^(-ρ))^(-1/ρ - 1)

Similarly, the partial derivative of the utility function with respect to x_2 is:
∂U/∂x_2 = -(1-α)ρx_2^(-ρ-1)(αx_1^(-ρ) + (1-α)x_2^(-ρ))^(-1/ρ - 1)

(b) The Marginal Rate of Substitution (MRS) represents the rate at which a consumer is willing to substitute one good for another while maintaining the same level of utility.

In this case, the MRS is the negative ratio of the partial derivatives of the utility function:
MRS = -∂U/∂x_1 / ∂U/∂x_2

= (-αρx_1^(-ρ-1)(αx_1^(-ρ) + (1-α)x_2^(-ρ))^(-1/ρ - 1)) / (-(1-α)ρx_2^(-ρ-1)(αx_1^(-ρ) + (1-α)x_2^(-ρ))^(-1/ρ - 1))

Simplifying the expression, we get:
MRS = αρx_1^(-ρ) / (1-α)ρx_2^(-ρ)

(c) Homothetic preferences mean that the consumer's preferences do not change with changes in their income.

To determine whether the preferences represented by this function are homothetic, we need to check whether the MRS depends on the ratio of x_1 to x_2 or on the levels of x_1 and x_2 individually.

By looking at the expression for MRS, we can see that it depends on the ratio of x_1 to x_2 (x_1/x_2), not on their individual levels.

Therefore, the preferences represented by this function are homothetic.

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Answer:

1641.36 is how much he will pay for that stuff in one year

Step-by-step explanation:

$1641.36

Answer:

1641.36

Step-by-step explanation:

If the cost is 136.78 each month, and there are 12 months in a year, then 136.78*12 is the answer, which is equal to 1641.36.

To write 1/16 as a decimal, you must divide the numerator by the denominator of the fraction.

We now divide 1 by 16 which we write as 1/16 and we get 0.0625

1/16 to decimal is equal to 0.0625

When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer:

Lesser x = -4/3

Greater x = -1

Step-by-step explanation:

By the Zero Product Property, the roots are found by setting each factor equal to 0:

x+1 = 0

x = -1

3x+4 = 0

3x = -4

x = -4/3

So, the lesser x is -4/3 and the greater x is -1.

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

Applying the equality:

\(x + 71 = 108\)

\(x = 108 - 71\)

\(x = 37\)

Thus, x = 37º.

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By finding the probability, we can expect that 2 out of the 30 students will win the prize.

First, we should get the probability of winning this game.

Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.

Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:

p = 1/6

The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:

q = 1/5

The joint probability is then:

P = 2*(1/6)*(1/5) = 1/15.

Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.

Then the expected number of students that will win is equal to the probability times the total number of students:

(1/15)*30 = 2

So out of the 30 students, we can expect that 2 will win.

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Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

The force on the longer side of the aquarium based on the information is A. 1000 lb.

The hydrostatic force on a surface is equal to the pressure at the centroid of the surface multiplied by the area of the surface. The pressure at the centroid of the surface is equal to the density of the water multiplied by the depth of the centroid. The area of the surface is equal to the length of the surface multiplied by the width of the surface.

In this case, the density of the water is 62.5 lb/ft³, the depth of the centroid is 2 ft, the length of the surface is 4 ft, and the width of the surface is 2 ft. Therefore, the hydrostatic force on the longer side of the aquarium is:

F = 62.5 lb/ft³ * 2 ft * 4 ft * 2 ft

= 1000 lb

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Answer:

y = 0.8

Step-by-step explanation:

9(0.5y + 0.4) = 5(0.1y + 1.3) + 0.3

~Distribute both sides

4.5y + 3.6 = 0.5y + 6.5 + 0.3

~Simplify right side

4.5y + 3.6 = 0.5y + 6.8

~Subtract 3.6 to both sides

4.5y = 0.5y + 3.2

~Subtract 0.5y to both sides

4y = 3.2

~Divide 4 to both sides

y = 0.8

Best of Luck!