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2 years ago

15

Sally’s mud mask cost $23 for a 0.45 once jar. She found the same mud mask online for $72. What size is the jar online? Round to

the nearest tenth

1 answer:

Furkat [3]2 years ago

4 0

72/23=x/.45
72/23=3.13
3.13*.45=1.41
the online mud mask was 1.41oz

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Please help thank you

Dvinal [7]

the tale-tell fellow is the number inside the parentheses.

if that number, the so-called "growth or decay factor", is less than 1, then is Decay, if it's more than 1, is Growth.

$\bf f(x)=0.001(1.77)^x\qquad \leftarrow \qquad \textit{1.77 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(1.5)^{\frac{x}{2}}\qquad \leftarrow \qquad \textit{1.5 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=5(0.5)^{-x}\implies f(x)=5\left( \cfrac{05}{10} \right)^{-x}\implies f(x)=5\left( \cfrac{1}{2} \right)^{-x} \\\\\\ f(x)=5\left( \cfrac{2}{1} \right)^{x}\implies f(x)=5(2)^x\qquad \leftarrow \qquad \textit{Growth} \\\\[-0.35em] ~\dotfill$

$\bf f(t)=5e^{-t}\implies f(t)=5\left( \cfrac{e}{1} \right)^{-t}\implies f(t)=5\left( \cfrac{1}{e} \right)^t \\\\\\ \cfrac{1}{e}\qquad \leftarrow \qquad \textit{that's a fraction less than 1, Decay}$

now, let's take a peek at the second set.

$\bf f(x)=3(1.7)^{x-2}\qquad \leftarrow \qquad \begin{array}{llll} \textit{the x-2 is simply a horizontal shift}\\\\ \textit{1.7 is more than 1, Growth} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3(1.7)^{-2x}\implies f(x)=3\left(\cfrac{17}{10}\right)^{-2x}\implies f(x)=3\left(\cfrac{10}{17}\right)^{2x} \\\\\\ \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill$

$\bf f(x)=3^5\left( \cfrac{1}{3} \right)^x\qquad \leftarrow \qquad \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3^5(2)^{-x}\implies f(x)=3^5\left( \cfrac{2}{1} \right)^{-x}\implies f(x)=3^5\left( \cfrac{1}{2} \right)^x \\\\\\ \textit{that fraction in the parentheses is less than 1, Decay}$

6 0

3 years ago

19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by se

andre [41]

Answer:

Probability = 0.12676992

Step-by-step explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992

7 0

2 years ago

I need answer correct ASAP Please!!!

Brums [2.3K]

Answer:

cos(m∠B) = 2√5/5

Step-by-step explanation:

Easiest way is to guess and check on this problem. When you take the cos(m∠B), you would get 6/3√5, rationalized to 2√5/5. That would be the correct answer.

7 0

2 years ago

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What is the slope of a line perpendicular to the line whose equation is y = 2x+5?

zubka84 [21]

Answer:

slope = - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 5 is in this form with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

4 0

2 years ago

Read 2 more answers

Two consecutive even integers have a sum of 46

eduard

<span>Two consecutive even integers have a sum of 46 are</span> 22 and 24

hope it helps

5 0

2 years ago

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