Find the exact solution to the equation. 5^(6-2x) = 25

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

[tex]5^{(6-2x)}[/tex] = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2


Related Questions

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

Answers

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

Answer:

A) -30 - x = 10 and -30 - x = –10

Step-by-step explanation:

Part 1:

1) Isolate the variable x

-30 - x = 10

-x = 40

2) Multiply both sides by -1

x = -40

Therefore -30 - x = 10 is correct

Part 2:

1) Isolate the variable x

-30 - x = –10

-x = 20

2) Multiply both sides by -1

x = -20

Therefore -30 - x = –10 is also correct

Final Answer: -30 - x = 10 and -30 - x = –10

A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12

Answers

Answer is e hope this helps

Help please. It’s geometry and it asks to find the shaded region.

Answers

Answer: (a)

Step-by-step explanation:

Given

The diameter of the inner circle is [tex]d=14\ m[/tex]

thickness of the strip is [tex]t=2\ m[/tex]

So, the radius of inner circle is [tex]r=7\ m[/tex]

Radius of the outer circle [tex]R=7+2=9\ m[/tex]

Area of the shaded region is the difference of the area of outer circle and inner circle.

[tex]\Rightarrow \pi R^2-\pi r^2\\\Rightarrow \pi (9^2-7^2)\\\Rightarrow 3.142\times 32\\\Rightarrow 100.5\ m^2[/tex]

hence, option (a) is correct.

The temperature in Greenland was -12°. For 4
hours the temperature rose 3º every hour.
What was the temperature after 4 hours?
Please help me with this math problem

Answers

Using proportions, it is found that the temperature after 4 hours was of.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The temperature rose 3º every hour, for 4 hours, hence the total rise was of:

R = 3º x 4 = 12º.

Considering the initial temperature, the the temperature after 4 hours was of:

T = -12º + 12º = 0º.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?

Answers

Answer:

50.27

Step-by-step explanation:

Given that m is parallel to n, what must be true of the two lines? Check all that apply.

Answers

what are the options?

Answer:

I don't have the options but I know parallel lines will never touch, they have the same slope, and the distance between the lines never changes

Deena drinks 2 cups of milk per day. She buys 5 quarts of milk. How many days will her 5 quarts of milk last?

Answers

Answer:

10 days

Step-by-step explanation:

Given data

Deena drinks 2 cups of milk per day

from table

1 cup = 0.25 quarts

Hence she drinks

0.5quarts per day

Hence if 0.5quarts  last for 1 day

5quarts  will last x days

cross multiply

0.5x= 5*1

x= 5/0.5

x=10 days

There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 sets of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.​

Answers

Answer:

there is no table.  Sorry!

Step-by-step explanation:

{PLEASE HELP!! And No Links or I Will Report You!}

Answers

Answer:

B

Step-by-step explanation:

Slope intercept form - y = mx + b

where m = slope and y = slope

We are given the slope (-3)

so we would have y = -3x + b

We want to find the y intercept or "b"

To do so we plug in the x and y values of the given coordinate

5 = -3 ( 2 ) + b

we then solve for b

step 1 simplify -3 * 2 = -6

5 = -6 + b

add 6 to each side

5 + 6 = 11

-6 + 6 cancels out

we're left with b = 11

So the equation would be y = -3x + 11

PLEASE HELPPP i will mark you brainliest

Answers

Answer:

7(9+4)

Step-by-step explanation:

7(9+4)

7×9= 63

7×4= 28

Answer:

Monica used 7( 9 + 4 ) as the equivalent expression

Step-by-step explanation:

First off we have to know what 63 + 28 is, that question equals to a sum of 91.

Then, if you use the 7( 9 + 4 ) expression, you multiply 7 to both 9 and 4.

7 x 9 = 63

7 x 4 = 28

Lastly, if you add those two numbers you got you will get the answer of 91.

Therefore, 7( 9 + 4 ) is the answer to the expression.

solve the following Linear equation 15 POINTS ​

Answers

Answer:

24 - 6 = 2(12 - 3)

24 - 6 = 24 - 6

Subtract 24 from both sides of the equation

24 - 24 - 6 = 24 - 6 - 24

-6 = -6

Add 6 to both sides of the equation

6 - 6 = -6 + 6

0 = 0

The input is an identity: it is true for all values

-TheUnknownScientist

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?

Answers

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

A box of lollipops contains a total of 180 lollipops. The flavors in the box are in a ratio of 4 strawberry to 5 green apple. How many lollipops in the box are strawberry?

Answers

Answer:

80

Step-by-step explanation:

4/(4+5) × 180 = 4/9 × 180 = 80

hello please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

help please




. marking brainlist

Answers

Answer:

The radious would be 10.59 in

Step-by-step explanation:

4
Chaman's truck weighs 35 tons. The truck pulls a trailer
5
1
that weighs 4= tons. How heavy are the truck and trailer
5
together? Simplify the answer if possible.

Answers

Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

please some help me .

OPTIONS: 75 degrees, 30, 90, or 45

Answers

Answer:

x = 45

Step-by-step explanation:

x + 45 + 2x = 180

3x + 45 = 180

3x = 135

x = 45

Answer:

x = 45

Step-by-step explanation:

We know that the three angles of a triangle add up to 180. So we can add all the points equal to 180 to find the value of x.

a + b + c = 180

45 + x + 2x = 180

Combine terms.

45 + 3x = 180

Subtract 45 from both sides.

3x = 135

Divide both sides by 3 to get

x = 45.

To prove this, put x into the original addition of the angles.

45 + x + 2x = 180

Substitute 45 into x.

45 + 45 + 2(45) = 180

Multiply 2 and 45.

45 + 45 + 90 = 180

Add terms.

180 = 180.

Ryan is planning to attend a public university after he graduates from high school in 2 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $24,500. His family has promised to contribute $12,700 each year he is in school. What is the minimum amount of money Ryan must contribute to his savings per month for the next 2 years to have enough money to pay for his first year of tuition?

a
$491.67
b
$459.58
c
$387.51
d
$587.85

Answers

Answer:

A. 491.67

Step-by-step explanation:

please rank brainliest:)

I need help with thiss

Answers

Answer:

B. 291.6 cubic centimetres

Step-by-step explanation:

The formula for volume of a rectangular prism is:

[tex]V=lwh[/tex]

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

So:

9 × 7.2 × 4.5 = 291.6

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

Have a good day :)

can u answer it please​

Answers

Answer:

b

d

a

e

c

Step-by-step explanation:

I need help finding the answer

Answers

Answer

3 hours 40 mins

3 hours and 40 minutes is your answer or 3:40

Need answer ASAP image below of it

Answers

Answer:

B

Step-by-step explanation:

You count the gradient of the line

All od the gradient is 5 jut b is 55

Thus b is different from the others

7 1/2 / (4 1/2 - 5 1/8) =

Answers

Answer:

so I belive the answer is -75/16 simplified as -4 11/16

Mark has a cabinet door in his kitchen with the dimensions shown below. He creates a scale
drawing where the width of the cabinet door is 15 inches. What is the height of the cabinet
door in Mark's scale drawing?

Answers

Answer:

30

Step-by-step explanation:

you just Multiply by 2

Answer:

h = 25 in

hope it helped!

HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

Mhanifa or Anyone answer this PLZ

Answers

Answer:

B. g(x) = - (x + 3)² + 4

Step-by-step explanation:

The function is f(x) = x²

Transformation steps

1. Reflection across the x-axis:

x² → -x²

2. Translation 3 units to the left:

- x² → - (x + 3)²

3. Translation 4 units up:

- (x + 3)² + 4

The new function is:

g(x) = - (x + 3)² + 4

Correct choice is B

Which equation could be represented by the number line

Answers

Answer:

A

Step-by-step explanation:

I took the test

(1/2) 4/? = ?

A :4/8
B:1/8
C:4/16
D:1/16

Answers

Answer:

A: 4/8

Step-by-step explanation:

1/2 is the same as 4/8 because if we divide 4 to both the numerator (4 divided by 4) and the denominator (8 divided by 2), we get 1 for the numerator and 2 for the denominator.

What is the explicit formula for this arithmetic sequence?
-11, -18, -25, -32, ...

Answers

Answer:

-7

Step-by-step explanation:

If you look at the first number,count how many in between the next number and the one after that.

In circle Q with m PQR = 82 and PQ = 5 units, find the length of arc PR.
Round to the nearest hundredth.

Answers

The length of arc PR to the nearest hundredth is 7.15 units

How to calculate the length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r = PQ = 5 units

theta = <PQR = 82π/180 rad

Substitute to have:

L = 5 * 82π/180 rad

L = 7.15 units

Hence the length of arc PR to the nearest hundredth is 7.15 units

Learn more on length of an arc here; https://brainly.com/question/2005046

Answer: The answer is 7.16.

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It has not the right to take away what it cannot restore when it wants to."[3] Among the guests was a young lawyer, a young man of five-and-twenty. When he was asked his opinion, he said:[4] "The death sentence and the life sentence are equally immoral, but if I had to choose between the death penalty and imprisonment for life, I would certainly choose the second. To live anyhow is better than not at all."[5] A lively discussion arose. The banker, who was younger and more nervous in those days, was suddenly carried away by excitement; he struck the table with his fist and shouted at the young man:[6] "It's not true! I'll bet you two million you wouldn't stay in solitary confinement for five years."[7] "If you mean that in earnest," said the young man, "I'll take the bet, but I would stay not five but fifteen years."[8] "Fifteen? Done!" cried the banker. "Gentlemen, I stake two million!"Select the sentence that advances the plot and creates tension in the excerpt. 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