All categories

2 years ago

Determine if each relationship is a proportional or nonproportional Explain your reasoning. The problem is, v= 1/10u

Mathematics

1 answer:

timama [110]2 years ago

6 0

Hello hey hii baby girl

You might be interested in

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

Ron is selling items at a craft show. The first hour his sales are $20. His sales grow by 10% each hour. What are Ron's total sa

olga nikolaevna [1]

C. $122.10

20 first hour
20+0.1*20 = 22 second hour
22+0.1*22 = 24.2 third hour
24.2+0.1*24.2 = 26.62 fourth hour
26.62+0.1*26.62 = 29.282 fifth hour
Total=$122.10

5 0

3 years ago

If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami

masha68 [24]

The volume (V) of a pyramid is found using the formula

V = $\frac{1}{3}$ × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = $\frac{1}{3}$ × 81 × h = 27h ( divide both sides by 27 )

h = $\frac{324}{27}$ = 12 → A

3 0

2 years ago

I really need help with this please I keep getting it wrong and I’m confused

Nikitich [7]

18+5= n
n= 23
D. 23
15+5=20 so u just gotta add 5 to 18

5 0

2 years ago

Suppose a population has a mean of 400 and a standard deviation of 24. if a random sample of size 144 is drawn from the populati

Drupady [299]

Find the critical value or test statistic.
$z = \frac{m - \mu}{\sigma/\sqrt{n}} = \frac{404.5 - 400}{24/\sqrt{144}} = \frac{4.5}{2} = 2.25$

Find P(z > 2.25) using a normal distribution table

P(z > 2.25) = 0.0122

6 0

2 years ago