The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.

A) What is the constant of variation?

B) If another rider completes the course in 25 seconds, what was his speed?

Answer:

33.5410196625 ????

Step-by-step explanation:

Answer:

Rearrange both inequalities to make y the subject.

Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.

Inequality 1

[tex]2y \leq x-10[/tex]

[tex]\implies y < \dfrac{1}{2}x-5[/tex]

[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]

[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]

Inequality 2

[tex]x+y\leq -3[/tex]

[tex]\implies y\leq -x-3[/tex]

[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]

[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]

When graphing inequalities

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

Therefore,

Inequality 1:  plot points (0, -5) and (4, -3) and draw a solid line through them.

Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.

Shade the area below both lines from where the lines intersect.

Answer:

See below ~

Step-by-step explanation:

Inequality 1 :

Taking 2 points :

Inequality 2 :

Taking 2 points :

Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :

Answer:

95.3333 ft/s

Step-by-step explanation:

Simplified

[tex]x\sqrt[3]{x}[/tex]

Answer:  The answer is 9

Answer:

9% of her monthly income is spent on 'Other expenses'

Step-by-step explanation:

[tex]900+120+80+100+320=1820[/tex]

but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%

Answer:

[tex]1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} [/tex]

Answer:

father sends 7 more

19-12=7

Answer:

I believe the answer is; The median is 4.5 inches.

let me know if this is right for you! :)

Step-by-step explanation:

A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,

[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]

Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be

[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]

Hence, the increase in the mean for the second week compared to the first is 0.4.

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Using the combination formula, and supposing that you have n parts, it is found that the number of trains you can make is of:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

The order in which the parts are taken is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 parts are taken from a set of n, hence the total number of trains is given by:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

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The number of oranges that are in the bag is  120.

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Answer:

blue i think good luck

Answer:

B and E are True.

Step-by-step explanation:

B 12.19 is a terminating decimal so it is rational.

E its a ratio of 2 integers so its rational.

A -  is  not repeating so this is false.

C. a perfect square is rational - 16 can be written as 16/1.

D. 6 is rational because it can be written as 6/1  not because its not a perfect square.

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.

Answer:

No it is not a rational number

Step-by-step explanation:

A rational number is a number that can be written in the form

p

q

, where

p

and

q

are integers and

q

≠

o

.

All fractions, both positive and negative, are rational numbers. A few examples are

4

5

,

−

7

8

,

13

4

,

and

−

20

3

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

#25

Let the angles be 2x and 7x

Smallest angle=2(20)=40°

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &12250\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &6\\ \end{cases} \\\\\\ A=12250(1 - 0.06)^{6}\implies A=12250(0.94)^6\implies A\approx 8450.90[/tex]

The maximum value of the objective function p if p = 180x + 250y is 3020

The coordinates of the feasible region are given as;

(14, 2), (0, 9), (6, 8), and (10, 3)

The objective function is given as:

P = 180x + 250y

Substitute the coordinates of the feasible region in the above function

P = 180 * 14 + 250 * 2 =3020

P = 180 * 0 + 250 * 9 = 2250

P = 180 * 6 + 250 * 8 = 3080

P = 180 * 10 + 250 * 3 = 2550

The maximum value in the above computation is:

P = 180 * 14 + 250 * 2 =3020

Hence, the maximum value of the objective function p if p = 180x + 250y is 3020

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Linear Programming Quiz - Edge

Question 1: D

Question 2: D

Question 3: D

Question 4: B

Question 5: C

Question 6: C

Question 7: D

Question 8: A

Question 9: C

Question 10: C

It says I can't add anymore attachments but the rest are correct trust me

Answer:

B

Step-by-step explanation:

Slope is change of y over change of x

Y is going up by 8 and x is going over by 1

Therefore, $8/1 lb

Answer:

5(2x-3y)

Step-by-step explanation:

10x-15y

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

=5(2x-3y)

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

Answer:

6

Step-by-step explanation:

line graph start at 5 equations

Answer:

C) [tex]628\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]

Answer: 40x^4 + 56x^3 − 16x − 14

Step-by-step explanation:

1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.

2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.

3. Simplify

4. Multiply 4x^2 + 7x^1 times 6x^2

5. Multiply 2x^3 - 2 times 8x^1 + 7x^0

6. To multiply powers of the same base, add their exponents.

7. Simplify

8. Combine like terms

9. For any term t, t^1 = t

10. For any term t except 0, t^0 = 1

Answer:

Its 0.191

Step-by-step explanation:

Answer:

c) 0.191

Step-by-step explanation:

Answer:

  9.45 ounces

Step-by-step explanation:

The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.

The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.

The population standard deviation is about 9.45 ounces.

_____

Additional comment

The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.

Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12

Step-by-step explanation:because among 6 results there are 3 even numbers.