Ask question

Ask question

All categories

3 years ago

15

Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twen

ty five.

1 answer:

Anna35 [415]3 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

Five to the power of quantity nine minus three x equals one hundred and twenty five.

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

5^(9 - 3x) = 125
5^(9 - 3x) = 5^3
9 - 3x = 3
3x = 9 - 3
3x = 6
x = 6/3
x = 2

You might be interested in

What is the area of a circle with a diameter of 25

PtichkaEL [24]

Answer:

find using calculator:)

Step-by-step explanation:

pie X (25 divided by 2) X (25 divided by 2) = answer

4 0

2 years ago

Read 2 more answers

Reggie lost 3 spaceships in level 3 of a video game. He list 30 points for each spaceship. When he completed level 3, he earned

kobusy [5.1K]

His score changed by 110 points.
Explanation: 3*30=90 & 200-90=110 points

5 0

3 years ago

How many ft are in 2mi

Harman [31]

Answer:

10560 ft

Step-by-step explanation:

1 mi = 5280 ft

5280 ft * 2 = 10560 ft

7 0

3 years ago

Read 2 more answers

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

3 years ago

Whats the answer for number 13?

Mumz [18]

Answer: option 3

Step-by-step explanation:

so you would do

-2=3(1)-5

-2=3-5

-2=-2

3 0

2 years ago