Which is the graph of the function f(x) = √ 1/4x
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Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

The height will be 143 mm for a stack of 13 DVD cases.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

To learn more about the constant of proportionality here:

https://brainly.com/question/17302514

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The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

Answer:

A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Step-by-step explanation:

Find the diagram attached.

Slope is the change in y coordinates tom that of x coordinate of a line.

Slope = Δy/Δx

Slope = y2-y1/x2-x1

For ΔABC,

A(-3, 6) and C = (-1, 3)

Slope = 3-6/-1-(-3)

Slope = -3/-1+3

Slope = -3/2

Slope of line AC is -3/2

For ΔCDE,

C = (-1, 3) and E = (3, -3)

Slope = -3-3/3-1

Slope = -6/2

Slope = -3

Slope of line CE is -3

From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)

-3/2 = 1/2 (-3)

-3/2 = -3/2

Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Answer:

D

Step-by-step explanation:

Hope this helped

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Learn more about the probability here;

https://brainly.com/question/24756209

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Answer:

A"(2,11) B"(0,5) C" (4,3)

Step-by-step explanation:

Answer:

x = 1

y = 46

Step-by-step explanation:

assuming AB = DE and angle F = angle C,

set 4x - 6 = 10", solve for x...

4x = 4, x = 1

set 14x + y = 60°, substitute 1 for x then solve for y...

14 + y = 60°, y = 46

Answer:

x=+17

Step-by-step explanation:

6x+7=8x-27

We move all terms to the left:

6x+7-(8x-27)=0

We get rid of parentheses

6x-8x+27+7=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

Answer:

I may be wrong but I beileve its A(-20)

Step-by-step explanation:

Answer: Hey there The answer is simple is -20

Step-by-step explanation:

(2)(12)/-3-12=-20

hope this helps

Answer:

The absolute value makes the number inside it, a positive

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

If you divide both the numerator and the denominator by 3 you'll get 3 over 4.

Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable X is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]

                            [tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]

The corresponding value of z is, 0.25.

Compute the value of x₁ and x₂ as follows:

[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex]                [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]

Low: 15.4 years

High: 16.6 years

Answer:

2

Step-by-step explanation:

did it on khan

Answer: I'd go with Option (C.<3 AND 4, <6 AND 4)

Answer: The answer is D

Step-by-step explanation:

Answer:

-5,3,11

Plus 8 or subtract 8

Step-by-step explanation:

-13 + 8= -5

-5+8= 3

3+8=11

11+8=19

or

19-8=11

11-8=3

3-8=-5

-5-8= -13

Hope that helps :)

Answer:

89/3x

Step-by-step explanation:

Use Marhway for these types of problems

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Answer:

There are 50 full-time and 25 part-time employees in the company.

Step-by-step explanation:

Total number of employee in the company = 75

Employee's records to be audited = 50

Number of audited record = 75 - 50

                                            = 25

Records of employees to be audited = 50

Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2

                                                  = 50

The number of part-time employee's in the company = 75 - 50

                                                  = 25

There are 50 full-time and 25 part-time employees in the company.

Answer:

x = - 1

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5

Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions

3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )

- 5x + 12 = 2x + 19 ( subtract 2x from both sides )

- 7x + 12 = 19 ( subtract 12 from both sides )

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Answer:

x=52 Y=50 Z=45

Step-by-step explanation:

hope this can help you

Answer: the answer is y=6x-3

Answer:

4q+20

Step-by-step explanation:

1. You apply distributive property.

8(q+4) - 2(2q+6)

8q+32 -4q-12

2. Combine like terms

4q+20

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

300 multiplied by 0.04 (4%) = 12

Hope I helped :)

Please consider Brainliest :)

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

Answer:

4 divided by 25 is 0.16

Step-by-step explanation:

Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.

The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

Move down the 2nd digit of the dividend (5)

The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:

Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:

Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 4 calculated using Long Division is:

6

1 Remainder

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]

[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]

[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]

[tex]f( - 2) = 32 + 28 - 10[/tex]

[tex]f( - 2) = 60 - 10[/tex]

[tex]f( - 2) = 50[/tex]

_________________________________

And we're done...

♥️♥️♥️♥️♥️

Answer:

000

Step-by-step explanation: