The pay on your paycheck and the hours you worked. what is the DEPENDENT quantity?

Answer:

13 glasses

Step-by-step explanation:

Given:

Amount of of lemonade available = 20⅜ cups

Amount of lemonade per guest = 1½ cups

Required:

Number of glasses to be filled

SOLUTION:

Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest

= 20⅜ ÷ 1½

Change both mixed fractions to improper fractions

= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]

Flip the fraction on your right upside down and change the division to multiplication

[tex] = \frac{163}{8} * \frac{2}{3} [/tex]

[tex] = \frac{163*2}{8*3} [/tex]

[tex] = \frac{163*1}{4*3} [/tex]

[tex] = \frac{163}{12} = 13.58 [/tex]

Number of glasses that would be filled is roughly 13 glasses.

Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=\sin(9\ln (x))[/tex]

Using chain rule differentiate w.r.t. x.

[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex]      [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex]       [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]

[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]

Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Answer:

3

Step-by-step explanation:

Answer: the third on i think

Step-by-step explanation:

Answer:

let thanh age be x

Step-by-step explanation:

xuyen age= 22

therefore= (X-10)2=22

=2x-20=22

=2x=44

x=22

thanh age is 22

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

Answer: A) x=6

Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.

so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.

(8-6)=2

9 times 2= 18

3 times 6= 18

this means that x would equal 6

if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.

:)

Step-by-step explanation:

6x = 33

or, x=33/6

x=5.5

Answer:

[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]

And we want to solve for g, the acceleration due to gravity.

Proceed with algebra:

[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]

In conclusion:

[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]

Answer:

g = [tex]\frac{2(h - vt)}{t^2}[/tex]

Step-by-step explanation:

Given

h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )

h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )

2(h - vt) = gt² ( divide both sides by t² )

[tex]\frac{2(h-vt)}{t^2}[/tex] = g

Answer:

Is Calculated by dividing the present value of future cash flows that will be generated by the project by the project

Step-by-step explanation:

BRAINILIEST PLEASEEEEEE

-11-8 = -19

Step-by-step explanation:

semoga membantu anda

==================================================

Explanation:

Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.

You can use subtraction to get

-7-12 = -19

or

12-(-7) = 12+7 = 19

The final result is made positive since negative distance does not make sense.

So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.

All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.

$ 232.90

62% ........... $144.40

100% ..........$ x

x = 144.40×100/62

= 14440/62

= $ 232.90

None of the measurements on the list you provided is more than 3 feet.

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x

The answer is given below in the image.

The laws apply to logarithms of any base but the identical base needs to be used at some point in a calculation. This regulation tells us a way to add logarithms collectively. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this situation 10, is used throughout the calculation.

A logarithm of more than a few raised to a power is identical to the power expanded via the logarithm of the wide variety to the same base. that is, loga(mn) = nlogam.

Learn more about logarithms here: https://brainly.com/question/247340

#SPJ2

Answer:

The answer is 235.6

Step-by-step explanation:

You plug in the numbers to the equation.

B is the 3/4 = .75 and 5/8 = .625

Step-by-step explanation:

If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.

So,

[tex] \frac{30}{8} = \frac{20}{y} [/tex]

Cross-multiplying the denominators gives,

[tex]30y = 160[/tex]

[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]

Answer:

[tex]p(-4) = 0[/tex]

Step-by-step explanation:

Given

[tex]Polynomial: p[/tex]

[tex]Factor: (t + 4)[/tex]

Required

Which statement is true

First we need to equate t + 4 to 0; then solve for t

[tex]t + 4 = 0\\[/tex]

[tex]t = 0 - 4[/tex]

[tex]t = -4[/tex]

Represent the polynomial as a function of t:

[tex]p(t) = 0[/tex]

Substitute -4 for t

[tex]p(-4) = 0[/tex]

Answer:

Step-by-step explanation:

-32.5

Answer:

(2p - 1)(3p - 2)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of white balls = 5

Number of red balls = 4

Number if blue balls = 3

Probability = required outcome / Total possible outcomes

Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12

a. What is the probability that exactly two of the balls are white?

(White, white, not white) or (not white, white, white) or (white, not white, white)

Assume balls were picked without replacement ;

P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606

P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606

P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606

P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818

b. What is the probability that one ball of each color is selected ?

(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)

P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545

(0.0454545 × 3) = 0.272727

c. What is the probability that all three of the selected balls have the same color ?

P(white, white, white) or P(blue, blue, blue) or P(red, red, red)

P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545

P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454

P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818

(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Answer:

Prime numbers are positive integers that have only 2 factors: Itself, and 1.

For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.

1 is NOT a prime number as it only has 1 factor which is 1.

The only possible outcomes on a standard number cube (aka a die or dice) are {1,2,3,4,5,6}

It is not possible to roll a 7 or larger, so we say the probability is 0. A probability of 0 means "impossible".

Answer:

x =68

Step-by-step explanation:

The sum of the angles of a triangle are 180

37+75+x = 180

Combine like terms

112+x = 180

Subtract 112 from each side

112+x-112=180-112

x =68

5x+25x+2x, $102

Step-by-step explanation:

5x+25x+2x

5(8)=40

25(2)=50

2(6)=12

add what's behind the equal signs to get $102 in all