Constant of Variation

Does the function y = 10/x² shown in the graph below have a maximum y=value or a minimum y-value?

Using the arc length formula,

[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Hence, when a figure is a dilation of another figure, the two figures are scale drawings.

For this problem, the ratio between the bases of the rectangles is given as follows:

12/6 = 2.

The ratio between the height of each rectangle is given as follows:

6/2 = 3.

As the ratios are different, the two figures are not scale drawings of one another.

For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.

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Answer:

hey

Step-by-step explanation:

plea se solve step by step solve

it's very urgent plzz

Answer:

Let y be the expression for the minutes you do both activities.then

y=m+30 is the required expression

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2)  <±sqrt( 4/25)

Make two equations

2-x < 2/5    2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2          2-x-2  > -2/5-2

-x < 2/5 -  10/5             -x > -2/5  - 10/5

-x < -8/5                         -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5                   x < 12/5

8/5 < x< 12/5

Answer:

4000

Step-by-step explanation:

10% of 3120 = 312

312 x 3 = 936

3120 + 936 = 4056

4056 rounded to the nearest thousanth = 4000

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a) The total cost of buying the car with HST is given as follows: $36,160.

b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.

c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.

The costs are obtained applying the proportions in the context of this problem.

The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.

Hence the total cost of buying the car, considering the HST tax, is given as follows:

1.13 x 32000 = $36,160.

The costs for leasing the car are given as follows:

Hence the total cost for leasing the car is given as follows:

1000 + 48 x 425 = $21,400.

Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:

36160 - 21400 = $14,760.

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Step-by-step explanation:

1. move the decimal to make the numbers whole

0.25 - move to the right 2 times - 25

0.044 - move to the right 3 times - 44

2. Multiply 25 * 44 = 1,100

3. Add decimal

you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.

Answer - 0.01100 or 0.011

Answer:

8.8

Step-by-step explanation:

To find the hypotenuse...

a²+b²=c²

C is the hypotenuse, so we add the others...

8.4²+2.6²=c²

70.56+6.76=c

77.32=c

Now, square root c to bring it to its original position.

√77.32=8.8

Your answer is 8.8 yards.

Answer:

(1,3)

Step-by-step explanation:

[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]

At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.

The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.

In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.

N (# of periods) = 20 years

I/Y (Interest per year) = 6%

PV (Present Value) = $0

PMT (Periodic Deposits) = $1,800

Results:

FV = $66,214.06

Sum of all periodic payments = $36,000 ($1,800 x 20)

Total Interest = $30,214.06

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = $,

PMT (Periodic Withdrawal) = $-7500

Results:

FV = $46,331.15

Sum of all periodic payments = $-37,500 ($7,500 x 5)

Total Interest $17,617.09

N (# of periods) = 2 years

I/Y (Interest per year) = 6%

PV (Present Value) = $46,331.15

PMT (Periodic Withdrawal) = $-5000

Results:

FV (Final Withdrawal) = $41,757.68

Sum of all periodic payments = $-10,000 ($5,000 x 2)

Total Interest = $5,426.53

Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.

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Answer:

this is your proper answer ...

Answer:

y = 8x + 12

Step-by-step explanation:

Slope-intercept form is y = mx + b where  m  is the slope and  b  is the y-intercept.

The problem just handed you everything you need!  Awesome!

Replace  m  with 8.  Replace b with 12.

If a line crosses the y-axis at (0, b), then b is the y-intercept.

9514 1404 393

Answer:

  x = -6 or -4

Step-by-step explanation:

Maybe you want to know the x-intercepts. They are found by ...

  0 = (x +5)² -1 . . . . . divide by -4

  1 = (x +5)² . . . . . . . add 1

  ±√1 = x +5 . . . . . . square root

  -5 ± 1 = x . . . . . . subtract 5

  x = -6 or -4

__

The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

The correct equation is: 6 + p = 15; p = 9.

Step-by-step explanation:

In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.

Answer:

Option D)

Step-by-step explanation:

Overall cost of both the items = $15

Cost of the drink = $6

Cost of popcorn = p

To Find : The equation that represents the Overall cost and the cost of the Popcorn

p + 6 = 15

p = 15 - 6

p = 9

Hence , the correct answer is p = 15 - 6; p = 9

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

Answer:

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{n^{18}}[/tex]

Required

Determine its equivalent

[tex]\frac{1}{n^{18}}[/tex]

Express 18 as 3 * 6

[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]

This can be rewritten as:

[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]

Apply the following law of indices:'

[tex]\frac{1}{a^b} = a^{-b}[/tex]

[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]

Hence;

(d) is correct

Answer:D

Step-by-step explanation: cause im big brain

Answer:

3x^2-7

-7 is the constant

3 is the coefficient

x is the variable

Step-by-step explanation:

(3x^2)+(-7)

Answer:

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

Step-by-step explanation:

Given

The attached tree diagram

Required

[tex]P(Black \ge 1)[/tex] --- at least 1 black socks

To do this, we consider the following selections of black (b)

[tex]b = \{BB, BW, WB\}[/tex]

Where

[tex]B\to Black[/tex]

[tex]W\to White[/tex]

From the attached tree diagram, we have:

[tex]BB =\frac{25}{64}[/tex]

[tex]BW =\frac{15}{64}[/tex]

[tex]WB =\frac{15}{64}[/tex]

So:

[tex]P(Black \ge 1) = BB + BW + WB[/tex]

[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]

Take LCM

[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

Answer:

5.6 units

Step-by-step explanation:

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Given that the area of the circle is 31.36π,

31.36π= πr²

Divide both sides by π:

31.36= r²

r²= 31.36

Square root both sides:

[tex]r = \sqrt{31.36} [/tex]

r= 5.6 units

Answer:

a cylinder.

Step-by-step explanation:

I hope this helps

Answer:

40

Step-by-step explanation:

4x

4(10)

Answer: 40

Step-by-step explanation:

Answer:

4 in.

Step-by-step explanation:

By definition of a equilateral triangle, all sides and interior angle measurements are congruent.

Essentially, all interior angles = 60°

By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4

4 inches is the side length.

~

Answer:

4

Step-by-step explanation:

12 ÷ 3 = 4

all the sides are equal

Answer:

B.)

Step-by-step explanation:

cosine is adjacent/hypotenuse

24/25

Answer: 24/25 (choice B)

This is because cosine of an angle is the ratio of the adjacent and hypotenuse

So,

cos(angle) = adjacent/hypotenuse

cos(a) = 24/25

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

Extra info:

Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).

Answer:

B) 3:00

Step-by-step explanation:

Its B the answer is 3:00

[tex]m-16[/tex] when m is 30

Substitute for m with given value:

[tex](30)-16[/tex]

[tex]=\fbox{14}[/tex]

Answer:

Step-by-step explanation:

a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14

answer is 14