The picture shows a carousel. The carousel spins while the horses move up and down. A student determines to
each horse completes one up-down cycle in 30 seconds. The student rides a horse on the carousel for 2 minute
which equals 120 seconds.
raal

Answer: I think the first one so A.

Answer:

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Step-by-step explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If  x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x

Answer:

The cube root and square root are not given, but I'm going to give a chart that might help.

Square roots:

2 = √4

3 = √9

4 = √16

5 = √25

9 = √81

10 = √100

Cube roots:

2 = ^3√8

3 = ^3√27

4 = ^3√64

5 = ^3√125

9 = ^3√729

10 = ^3√1000

Answer:

It's false

Step-by-step explanation:

it's false because the number that is closer to 0 is the greater number so it would be 2> -5

Answer:

11/50

Step-by-step explanation:

[tex] \frac{88}{400} = \frac{11}{50 } [/tex]

Answer:

total number of pupils = 400

number of pupils play musical instruments = 88

number of pupils who play a musical instrument as a fraction form = 88/400

in simplest form = 11/50

Answer:

62 c

-3x

-13x are the answer

Answer:

hi

Step-by-step explanation:

-10c + 40c + 32c =62c

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

-23x+10x= -13x

hope it helps

have a nice day

Answer:

dw

Step-by-step explanation:

Answer:

(3+4)+5=12

Step-by-step explanation:

(3 + 4 ) = 7

7 + 5 =

12

Answer:

x = 10

Step-by-step explanation:

I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:

6² + 8² = x²

100 = x²

x = √100

x = 10

Answer: -3/x^2

The negative exponent correlates to the x. In order for the exponent to be positive, it changes from the numerator to the denominator.

Answer:

50

Step-by-step explanation:

10*5=50

Answer:

(0, 8)

Step-by-step explanation:

To find the y- intercept of the line, substitute x= 0 into the equation.

y= 2x +8

When x= 0,

y= 2(0) +8

y= 8

Thus, the y-intercept of the line is (0, 8).

Answer:

5 represents the distance from the home that the ant started at.

Step-by-step explanation:

5 represents the distance from the home that the ant started at.

Answer:

I think Cube

Step-by-step explanation:

Step-by-step explanation:

112=35+d

112-35=d

d=77

hope it helps u

Answer:

D

Step-by-step explanation:

Formula

SA = 2*triangles  + 2 * rectangles on the east and west + 1 base rectangle

Triangles

Area = 1/2 * b * h

Area = 1/2 * 6 * 4

Area = 12

But there are 2 of them so the surface area = 24

Base

Area = L * W

Area = 6* 3

Area = 18

Other 2 rectangles

Area one of them = L * W

L = 5

W = 3

Area one of them = 5*3

Area one of them = 15

But there are 2 of them so the area = 2*15 = 30

Total area = 24 + 18 + 30

Total area = 72

D

Answer:

What is this I have not understand

Answer: 1.1

Step-by-step explanation:

Expected value is the weighted average of the various possibilities and their probability of occurring.

The probabilities represented are:

0.35, 0.35, 0.15 and 0.15.

They add up to:

= 0.35 +0.35 + 0.15 + 0.15

= 1

The possibilities are; 0, 1, 2 and 3.

Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)

= 1.1

Answer:

6 - b

Step-by-step explanation:

b doesn't have a value.

Answer: 44

Step-by-step explanation:

<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ

the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)

<O has the same measure as the arc  NQ so angle O is 44

Answer:

60℉ Warmer

Step-by-step explanation:

Since it is a negative temperature in Billings, you need to add 18+42 ( The temp in Mesa ) to get 60 because you need to get how much warmer.

Hope that helps

Answer:

D. 72 + (5x + 8) = 180, x = 20.

Step-by-step explanation:

Supplementary angles are angles that add up to 180, so the equation would be 72 + (5x + 8) = 180.

Now here, to find the value of x, solve for x.

72 + (5x + 8) = 180

5x + 8 = 108

5x = 100

x = 20

Your answer is D, 72 + (5x + 8) = 180, x = 20.

Answer:

T statistic = 0.256

Step-by-step explanation:

Given :

High capacity rats:

nh = 8

Xh = 89

s²h = 81

Low capacity rats :

nl = 8

Xl = 105

s²l = 169

Test statistic :

(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))

Pooled variance (Sp) :

[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)

[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)

(7*81 + 7*169) ÷ 14

= 1750 / 14

= 125

Hence,

(89 - 105) ÷ 125(sqrt[1/8 + 1/8)

16 ÷ (125 * 0.5)

16 /62.5

= 0.256

Answer:

2.30 :) hope this helps!!!!!!! :)

Step-by-step explanation:

w = wheat     c = corn    r = rye

6w + 3c + 6r = 45.90

3w + 6c + 6r = 49.20

6w + 6c + 3r = 41.40

since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:

if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r

-6w -  3c -  6r = - 45.90

3w + 6c + 6r =   49.20

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

- 3w +3c  =      3.30    or     w - c = - 1.10

If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the  r  again:

-12w - 12c -  6r = - 82.80

  6w + 3c + 6r =    45.90

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

- 6w - 9c         =  - 36.90   or       2w + 3c  =   12.30

now we have 2 equations and 2 variables that we can solve by substitution:

w = c - 1.10

2(c - 1.10)  + 3c = 12.30

2c - 2.20 + 3c   =   12.30

5c = 14.50

c = 2.90      

w = c - 1.10   or  1.80

3r = 41.40 - 6(1.80) - 6(2.90)

3r = 13.20    r = 4.40

I will pick the 2nd equation to check my answers :)!

3(1.80) +  6(2.90)  + 6(4.40)  = 49.20

5.40 + 17.40 + 26.40 =  49.20

As per linear equation, the price per bushel for corn is $22.8.

A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.

Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.

To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.

To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.

Let, per piece of wheat is of $x.

Per piece of corn is of $y.

Per piece of rye is of $z.

Therefore, 5x + 2y + 3z = 228 ....(1)

2x + 3y + 5z = 228 .........................(2)

3x + 5y +2z = 228 ..........................(3)

Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:

2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)

⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)

⇒ (- 11y - 19z) = - 684

⇒ 11y + 19z = 684 ......(4)

Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:

3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)

⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228

⇒ - y + 11z = 228 .......(5)

Now, multiplying equation(5) by '11' and then add with equation (4), we get:

 11y + 19z + 11(- y + 11z) = 684 + 11(228)

⇒ 140z = 3192

⇒ z = 22.8

Putting the value of 'z' in equation (5) we get:

- y + 11(22.8) = 228

⇒ y = 22.8

Now, putting the values of 'y' and 'z' in equation (1), we get:

5x + 2(22.8) + 3(22.8) = 228

⇒ 5x = 114

⇒ x = 22.8

Learn more about linear equation here: https://brainly.com/question/22990272

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