In the diagram, what is the measure of ZWRS?

Answer:

x = 2

Step-by-step explanation:

(2^x - 2)(5 * 2^x + 10) = 3 * 4^x + 12

5 * 2^(2x) + 10 * 2^x - 2 * 5 * 2^x - 20 = 3 * (2^2)^x + 12

2^x[5 * 2^(x)] - 20 = 3 * 2^(2x) + 12

2^x[5 * 2^(x)] = 3 * 2^(2x) + 32

5 * 2^(2x) - 3 * 2^(2x) = 32

2 * 2^(2x) = 32

2^(2x) = 16

2^(2x) = 2^4

2x = 4

x = 2

Answer:

d??

Step-by-step explanation:

Answer:

9.8

Step-by-step explanation:

The maximum profit that the company can expect to make is given as follows:

$66,560.

The profit function is defined as the subtraction by the revenue function by the expense function, as follows:

P(p) = R(p) - E(p)

P(p) = -260p² + 15600p - 108160 + 1040p - 91520

P(p) = -260p² + 16640p - 16640.

The coefficients are given as follows:

a = -260, b = 16640, c = -199680.

Hence the p-coordinate of the vertex is given as follows:

p = -b/2a

p = 16640/520

p = 32.

The maximum profit is then given as follows:

P(32) = -260(32)² + 16640(32) - 199680

P(32) = $66,560.

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Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3

The general equation of this is;

y = A cos bx

We are told that the period of the graph is 8

We know that 2π/b = period

Thus;

2π/b = 8

b = ¹/₄π

We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4

Thus the required equation is y = -4cos(¹/₄πx) - 3

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Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

2x³ + 5x² - x - 6 is the simplified product of (2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2).

A three-term algebraic expression is referred to as a trinomial. Variables and constants of one or more terms make up an algebraic expression. These expressions separate words or phrases using symbols or operations like +, -,×, and ÷.

This algebraic phrase includes a trinomial as well as a monomial, binomial, and polynomial. Let's learn more about trinomials, how to factor them, and the formula for doing so while also solving some problems.

It is expressed as

x² + xz + 1

A simplified product will be an equation where we will take all the same variables as common variables.

⇒ (2x)(x²) + (2x)(x) + (2x)(-2) + (3)(x²) + (3)(x) + (3)(-2)

⇒ 2x³ + 2x² -4x +3x² + 3x -6

⇒ 2x³ + 5x² - x - 6

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Answer:

The answer is 12.5%

Step-by-step explanation:

Hope this helped!

Answer:

12.5%

Step-by-step explanation:

Divide 1 by . Therefore, the fraction 18 is equivalent to 12.5% .

The average rate of change from the sixth to the fourteenth hours indicates that, on average, 15 fewer pairs of shoes were sold every hour.

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

slope = y2- y1 / x2 - x1

= -120/8  = -15

( 6 , 120 )

( 14 , 0 )

The average rate of change from the sixth to the fourteenth hours indicates that, on average, 15 fewer pairs of shoes were sold every hour.

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The vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

To find a vector function that represents the curve of intersection between the paraboloid and the cylinder, we need to express the coordinates (x, y, z) in terms of a parameter t.

Let's start by expressing the cylinder equation in terms of x and y:

y =  \(4x^2\):

We can rewrite this as:

y - 4x^2 = 0

Now, we'll substitute this expression for y in the equation of the paraboloid:

z =\(5x^2 + 2y^2\)

Replacing y with \(4x^2\):

\(z = 5x^2 + 2(4x^2)^2\\z = 5x^2 + 32x^4\)

Now we have the equations for x and z in terms of t:

x = t

z = 5t^2 + 32t^4

To obtain the y-coordinate, we substitute the x value into the equation of the cylinder:

y =  \(4x^2\):

y =\(4t^2\)

Therefore, the vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

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Answer:

its 2.2 cm

Step-by-step explanation:

Answer: B) 2.2 cm

I took the test 3.02 Quiz: Construct Two-Dimensional Figures.

The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.

The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.

Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.

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Answer:

Step-by-step explanation:

H(n)=91x(-1/7) n-1

do not know

Hope it helps the answer is the 2nd one have a great day

Answer:

144

Step-by-step explanation:

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

\({\huge{\boxed{\mathbb{EQUATION}}}\)

\(12\cdot12\)

_______________

we can use multiple methods to solve this problem.

________________

\({\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}\)

Here is how it would look to do distributive property

\((10\cdot12)+(2\cdot12)\)

Follow PEMDAS rule

Solve it and we get the answer of 144.

________________

\({\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}\)

just multiply \(12\cdot12\) which equals 144

________________

\({\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}\)

here is how it would look like.

\(\frac{12}{1}\div\frac{1}{12}\)

Follow the rule, also known as keep change flip, which makes it look like

\(\frac{12}{1}\cdot\frac{12}{1}\) which equals 144

________________

\({\huge{\boxed{\mathbb{ANSWER}}}\)

144

Answer:

Step-by-step explanation:

9gb/15s=0.6gb/s

32gb/80s=0.4gb/s

DeAndre laptop is faster.

wow his computer is  really fast

We have that  The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

From the question we are told that

9 GB (gigabyte) file in 15 seconds.

Cheryl’s laptop 80 seconds to download a 32 GB file.

Generally the equation for the   is mathematically given as

The rate of transfer for DeAndre’s is

X=\frac{9}{15}

X=0.6GB/s

The rate of transfer for Cheryl’s

\(Y=\frac{32}{80}\\\\Y=0.4GB/s\)

Therefore

The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

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Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Answer:

So the width of the rectangle is 20 units.

Step-by-step explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).

There are 75 girls who are athletes.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. The colon (:) is the symbol used to denote ratios.

We have,

Total athletes = 120

Ratio of boys to girls = 3:5

So, the number of girls athletes are

= 5/8 x 120

= 5 x 15

= 75

Thus, there are 75 athlete girls.

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Answer:

Im pretty sure its b

Step-by-step explanation:

The final value of the iterated integral is 945\(\sqrt{10}\).

To calculate the iterated integral, we need to evaluate the inner integral with respect to y first and then the outer integral with respect to x.

The inner integral is to be integrated with respect to y is:

∫(6xy\(\sqrt{(x^2 + y^2)}\))dy from 0 to 1 = [3y(\(x^2 + y^2\)\()^{(3/2)}\))] from 0 to 1

= [3y*\((x^2 + y^2\)\()^{(3/2)}\)] from 0 to 1

= 3(1)*(\(x^2\) + 1\()^{(3/2)}\)

= 3(\(x^2\) + 1\()^{(3/2)}\)

Now, we can use this result as the inside function to evaluate the outer integral with respect to x.

The outer integral is to be integrated with respect to x is:

∫(3(\(x^2\) + 1\()^{(3/2)}\))dx from 0 to 3

= [x(\(x^2\) + 1\()^{(5/2)}\)] from 0 to 3

= [3\((3^2 + 1\) \()^{(5/2)}\) - 0(0^2 + 1\()^{(5/2)}\)]

= [3(10 - 0]

= [945\(\sqrt{10}\))]

So the final value of the iterated integral is 945\(\sqrt{10}\).

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The complete question is -

Calculate the iterated integral. Integral from 0 to 3 integral from 0 to 1 of 6xy\(\sqrt{(x^2 + y^2)}\) dy dx

Answer:

B , C, D

Step-by-step explanation:

In integer subtraction, Keep the first number. Change subtraction to addition and write the additive inverse of the second number.

When two integers have different sign, subtract and the result will have the sign of the bigger number.

B) 152 - 200 = 152 + (-152)

                    =  -48

Here, bigger number is 200 and it is the negative number. So, 200 - 152 is 48 and the sign of 48 is negative.

C) -39 - (-28) = -39 + 28

                     = -11

D) 89 - (-17) = 89 + 17

                  = 106

Check the picture below.

we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.

if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.

Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

25.2

Step-by-step explanation:

168 x .15 = 25.2

\(\large\text{Hey there!}\)

\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{25.2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Interest, r, is 9.5%,

Number of days, n, is 91 days,

Let P represent the principal

t is number of times

Where i = (r/365) for daily compounded interest,

Hence, the best option is B.

A passenger is 3 meters above the ground after 2 minutes.

The height of a Ferris wheel passenger can be represented by the equation:

3 + 50 * sin(2t/T) = h(t).

where t denotes the time in minutes since the wheel began turning, T denotes the period in minutes, and h denotes the height in meters above the ground.

The function's amplitude equals the maximum height above ground minus the minimum height above ground. It can be calculated as follows:

50 amplitude

The function's midpoint is the average of the maximum and minimum heights above ground. It can be calculated as follows:

Midpoint = (3 + 50) / 2 = 26.5

As a result, the midline equation is:

y = 26.5

The function's period is the time it takes to complete one complete cycle. According to the problem, one complete cycle takes 4 minutes. As a result, the period is: 4 periods

After 2 minutes, plugging t = 2 into the equation yields the height of a passenger:

h(2) = 3 plus 50 * sin(2 * 2 / 4) = 3 plus 50 * sin() = 3 plus 50 * 0 = 3 meters

So, a passenger is 3 meters above the ground after 2 minutes.

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Answer:

924.95 %

Step-by-step explanation:

9.2495 x 100% = 924.95 %