Let C be the line segment from the point (-4,8) to the point (2,-4), C, be the arc on the parabola y = r2-8 from the point (-4,8) to the point (2, -4), and R be the region enclosed by C and C2. Consid

Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.

Answer:

Luke pays $2.34

Step-by-step explanation:

2.75 times .85 equals 2.337 which rounded is 2.34

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

a. The height of the golf ball at the instant it is hit is 0 feet.

b. The height of the golf ball 2.8 seconds after it is hit is approximately 62.72 feet.

c. It takes 4 seconds for the golf ball to hit the ground after it is hit.

a) To find the height of the golf ball at the instant it is hit, we need to evaluate the function h when t = 0.

Substituting t = 0 into the given equation, we get:

h = -16(0)² + 64(0) = 0

Therefore, the height of the golf ball at the instant it is hit is 0 feet.

b) To find the height of the golf ball 2.8 seconds after it is hit, we need to evaluate the function h when t = 2.8.

Substituting t = 2.8 into the given equation, we get:

h = -16(2.8)² + 64(2.8) ≈ 62.72

Therefore, the height of the golf ball 2.8 seconds after it is hit is approximately 62.72 feet.

c) To find how long it takes the ball to hit the ground after it is hit, we need to find the value of t when the height is 0.

Setting h = 0 in the given equation, we get:

0 = -16t² + 64t

0 = t(-16t + 64)

t = 0 or t = 4

Since the golf ball was hit upwards, we are only interested in the positive value of t, which is t = 4.

Therefore, it takes 4 seconds for the golf ball to hit the ground after it is hit.

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The question is -

The height in feet of a golf ball hit into the air is given by h = − 16t² + 64t, where t is the number of seconds elapsed since the ball was hit, and represents the golf ball height, in feet.

a) what is the height of the golf ball at the instant it is hit?

b) what is the height of the golf ball 2.8 seconds after it is hit?

c) how long does it take the ball to hit the ground after it is hit?

Answer:

You will pay $19.6 for a item with original price of $24.50 when discounted 20%. In this example, if you buy an item at $24.50 with 20% discount, you will pay 24.50 - 4.9 = 19.6 dollars.

Step-by-step explanation:

Answer:

52.36

Step-by-step explanation:

Formula to find volume in a cone is

V = pi • radius^2 h/3

So we fill in the numbers

V = pi •

the radius is half of diameter,

The diameter is 5

So it's

V = pi • 2.5

since it's half of 5

V = pi • 2.5^2 h/3

the height is 8 so we fill it in

V = pi • 2.5^2 8/3

When calculated, you get..

52.36

The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given as,

\(V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}\)

Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.

Here, the diameter of the cone is 5 cm. thus the radius of the cone is,

\(r=\dfrac{5}{2}\\r=2.5\rm cm\)

The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,

\(V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3\)

Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.

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Answer:

nearest hundredth 8.944

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.944

Answer:

8%

Step-by-step explanation:

APR means annual percentage rate.

To convert the daily rate to an APR, multiply the daily rate by the number of days in a year

365 days = 1 year

0.02192% x 365 = 8.0008%

To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is 0, so the number would be rounded off to 8%

Answer:

Yes, C is the answer

Step-by-step explanation:

Answer:

I think c is the answer

I solved the equation 40/100×127

The probability distribution of the number of hours per day people are able to relax is constructed, and probabilities of relaxing more than 4 hours, between 2 to 6 hours, and not relaxing at all are 0.283, 0.767 and 0.068 respectively. The mean and standard deviation are 3.326 hours and 1.950 hours (approx.) respectively.

The probability distribution of X is:

X Frequency Probability

0 114                    0.068

1 156                    0.093

2 336                    0.201

3 251                     0.150

4 316                      0.189

5 231                     0.138

6 149                    0.089

7 33                    0.020

8 60                    0.036

      1676                     1.000

The probability that a person relaxes more than 4 hours per day is:

P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= 0.138 + 0.089 + 0.020 + 0.036

= 0.283

The probability that a person relaxes from 2 to 6 hours per day is:

P(2 ≤ X ≤ 6) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

= 0.201 + 0.150 + 0.189 + 0.138 + 0.089

= 0.767

The probability that a person does not relax at all is:

P(X = 0) = 0.068

The mean Mx is:

Mx = Σ(X * P(X))

= 00.068 + 10.093 + 20.201 + 30.150 + 40.189 + 50.138 + 60.089 + 70.020 + 8*0.036

= 3.326 hours

The standard deviation Ox is:

Ox = sqrt[Σ(X^2 * P(X)) - Mx^2]

= sqrt[(0^20.068)+(1^20.093)+(2^20.201)+(3^20.150)+(4^20.189)+(5^20.138)+(6^20.089)+(7^20.020)+(8^2*0.036) - 3.326^2]

= 1.950 hours (approx.)

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Answer:

(x-6)*(x-3)

Step-by-step explanation:

a*c

1*18=18

Factors of 18 are:

1, 2, 3, 6, 9, 18

The equation has +18 meaning both signs must be the same; - - or + +

The only two factors that work are -3 and -6

The factored form will be (x-6)*(x-3)

Check with FOIL method.

Answer:

Answer in picture

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(h =\frac{A}{b}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'h'...}}\\\\A=bh\\----------\\\rightarrow bh = A\\\\\rightarrow \frac{bh=A}{b}\\\\\rightarrow \boxed{h=\frac{A}{b}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: vertical

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer:

b = 16.5; 13; 9.5; 6; 2.5

Step-by-step explanation:

Subscribe the given information to get an Answer.

b = 39 / 2 - 3 = 16.5

b = 32 / 2 - 3 = 13

b = 25 / 2 - 3 = 9.5

b = 18 / 2 - 3 = 6

b = 11 / 2 - 3 = 2.5

Answer:

y=x+3

Step-by-step explanation:

Start with the slope equation \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Since the first point is actually further along the x-axis that x-value becomes \(x_{2}\) and its corresponding y-value is \(y_{2}\)

\(\frac{9-8}{6-5}\)=\(\frac{1}{1}\)

The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.

y=mx+b

y-mx=b

Now Substitute either point in to find b

9-1(6)=b

9-6=b

b=3

Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:

y=x+3

Answer:

7=-5

Step-by-step explanation:

7=-5

Answer:

t - 16

Step-by-step explanation:

Hope this helps!! :))

Answer:

  (x, y) = (5, -4)

Step-by-step explanation:

The second equation gives you an expression for x that can be substituted into the first equation.

  (2y +13) -3y = 17 . . substitute for x in the first equation

  -y = 4 . . . . . . . . . . . subtract 13 and simplify

  y = -4

  x = 2(-4) +13 = 5 . . . use the second equation to find the value of x

The solution is (x, y) = (5, -4).

_____

Additional comment

When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...

Substitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).

Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.

The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.

One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.

Answer:

The quadrilaterals will be congruent  

The quadrilateral will now appear in Quadrant 2

Step-by-step explanation:

Given

\(W = (-7,-2)\)

\(X= (-4,-2)\)

\(Z = (-6,-6)\)

\(Y =(-3,-7)\)

Rotation across 180 degrees

Reflection across y-axis

Required

The true statement

Using point W as a point of reference; We have:

\(W = (-7,-2)\)

1. Rotation across 180 degrees

The rule is:

\((x,y) \to (-x,-y)\)

So:

\(W(-7,-2) \to W'(7,2)\)

2. Reflection across y-axis

The rule is:

\((x,y) \to (-x,y)\)

So:

\(W'(7,2) \to (-7,2)\)

Using the above transformation on the other points; We have:

\(W(-7,-2) \to W"(-7,2)\)

\(X (-4,-2) \to X "(-4,2)\)

\(Z (-6,-6) \to Z" (-6,6)\)

\(Y(-3,-7) \to Y"(-3,7)\)

Plot the above points on a grid (see attachment).

From the grid, we can conclude that: the quadrilaterals will be congruent  , and it will appear in Quadrant 2.

Answer:

what the guy above me said

Step-by-step explanation:

i copied his answer got it right

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

Explanation:

The rule says "whatever x is, add 1 to it to get y"

So for instance, if x = 3, then y = x+1 = 3+1 = 4

Now if x = 7, then y = x+1 = 7+1 = 8

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

Given that,

\(1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 1 = 4 \\ 4 + 1 = 5...\)

So from this we can infer that, \(\large\bold{ x + 1 = y}\)

Now,

\(x = 7 \\ y= \: ?\)

Use the rule ⎆ \(\large\bold{ x + 1 = y}\)

\(x + 1 = y \\ 7 + 1 = y \\ 8 = y\)

✐ The value of y is 8.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

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Answer:

-2x - 2y

Step-by-step explanation:

I am not sure what this is asking so here we go...

3(x + y ) - 5(x + y)

3x + 3y - 5x - 5y

-2x - 2y

From the hypothesis test, we have that:

At the null hypothesis, it is tested if her average is the same as the national of 514, hence:

\(H_0: \mu = 514\)

At the alternative hypothesis, it is tested if it is different, hence:

\(H_1: \mu \neq 514\)

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Answer:

c

just took on edge

\

Step-by-step explanation:

Comparing the functions, it is found that:

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

Jim's equation is of:

\(f(x) = 140 - 55x\)

Kimora's equation is of:

\(g(x) = 220 - 55x\)

The -55x term is common to both functions, while the constant on g is 80 more than f, thus:

\(g(x) = f(x) + 80\)

Which means that the answer to the first question is given by option D.

Lonnie started traveling two hours before Kimora's, using the same equation of motion, just with the input x reduced by 2, thus:

\(h(x) = g(x - 2)\)

Which means that the answer to the second question is given by option B.

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Answer:

The answer is d

Step-by-step explanation:

Answer:

it  D

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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