Which logarithmic equation correctly rewrites this exponential equation?

Which Logarithmic Equation Correctly Rewrites This Exponential Equation?

Answers

Answer 1

Answer:

A. [tex] log_{8}(64) = x[/tex]

Step-by-step explanation:

[tex] {8}^{x} = 64 \\ \\ \implies log_{8}(64) = x[/tex]


Related Questions

Does anyone mind helping me im confused-

Answers

Answer:

Malcolm owes the greatest amount.

Step-by-step explanation:

The question is asking for the amount owed by each person. That just means you take the absolute value of their bank balance if their bank balance is negative. Absolute value is just how far away the number is from zero (basically when a number is negative, you're just making it positive).

Sophia owes $150, Malcolm owes $325, and Oren owes $275.

325 > 275 > 150

Thus Malcolm owes the most, since his amount owed is the highest.

• What is the diameter of the circle?
What is the circumference of the circle
What is the area of the circle

Answers

Answer:

Radius = r

Diameter = 2r

Circumference = 2πr

Area = πr²

a diameter of a circle is a line drawn through the center of a circle.

Over which interval does f(t) have positive average rate of change?

A) -8,-2
B) -5,-1
C) -9,-8
D) 2,4

Answers

Answer:

D) 2,4

Step-by-step explanation:

The only answer with positive numbers

Answer:

D) 2,4

Step-by-step explanation:

Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Answers

Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Step-by-step explanation:  

250 + $7,289 + $1,275 = 8814

Please help will give brainliest

Answers

3 ,4,5 .....................

HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

rap music

Step-by-step explanation:

^

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

Hang was trying to factor 10x^2 + 5x she found that the greatest common factor of these terms was 5x and made an area model what is the width of the area model

Answers

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

A spinner is divided into 8 equal sections and each section contains a number from 1 to 8. What probability of the spinner landing on 5?

Answers

Answer:

1/8

Step-by-step explanation:

1 number out of eight possible choices.

Answer:

1/8

Step-by-step explanation:

the answer

What is the smallest solution to the equation 3x2 - 16 = 131?

Answers

Answer:

7,-7 are the solutions

Step-by-step explanation:

Not a perfect square so its

+-7

I would go with -7 since its the lowest amount

Answer:

-7

Step-by-step explanation:

the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle​

Answers

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Ms. Thompson went to buy socks for her Jordans. She brought $20 to the store. Each pair of scold costs $2.50. How many pairs of socks can she buy with $20?

Answers

answer of this question:

8

Step-by-step explanation:

$20÷$2.50

=8

:)

Complete the table below for the equation y=1+2x

Answers

y= 1,3,5

Hope it help

increase 50$ by 15%

Can you say how to do it and answer?

Answers

15% = 0.15
0.15 • 50 = 7.5
50 + 7.5 = 57.5

Why is convenience sampling biased? a. It takes too long to obtain b. none of the above c. The sample does not represent the population d. is too easy

Answers

Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently

Answers

Answer:

974

Step-by-step explanation:

Let assume that:

The set of student that took part in Calculus be = C

Those that took part in discrete mathematics be = D

Let those that took part in data structures be = DS; &

Those that took part in Programming language be = P

Thus;

{C} = 507

{D} = 292

{DS} = 312

{P} = 344

For intersections:

{C ∩ DS} = 14

{C ∩ P} = 213

{D ∩ DS} = 211

{D ∩ P}  =43

{C ∩ D} = 0

{DS ∩ P} = 0

{C ∩ D ∩ DS ∩ P} = 0

According to principle of inclusion-exclusion;

{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}

{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0

{C ∪ D ∪ DS ∪ P} = 974

Hence, the no of students that took part in either course = 974


4 people can dig a trench in 3 hours.
How long would it take 9 people?
Give your answer in minutes.

Answers

Answer:

80 minutes.

Step-by-step explanation:

do I need to explain? I hate explaining :(

Pls help, answer righhand I’ll mark brainly and you big smart!

Answers

Answer:

A. and C.

Step-by-step explanation:

Just remember that to find the roots, use the equation:

(-b +/- sqrt[b^2 - 4ac])/2a

I would appreciate Brainliest, but no worries.

Determine the area of a circle whose radius is 15 feet. Use pie=3.14​

Answers

Answer:

Down below

Step-by-step explanation:

[tex]A=\pi r^2\\A=3.14*(15)^2\\A=3.14*225\\A=706.5[/tex]

Find the distance between the points (4,10) and (4, -7)

Answers

Answer:

17

Step-by-step explanation:

Hello There!

Once again we are going to use the distance formula to find the answer

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This time we need to find the distance between the points (4,10) and (4,-7)

*we plug in the values into the formula)

[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]

so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units

4(2a - 3) = 2(3a + 1)
What's the answer?​

Answers

Answer:

a=7

Step-by-step explanation:

4(2a-3) = 2(3a+1)

8a-12 = 6a+2

2a-12=2

2a=14

a=7

Distribute
4(2a-3)=2(3a+1)
8a-12=2(3a+1)
8a-12=6a+2
Add 12 to both sides
8a-12+12=6a+2+12
a=7

PRE-CALC no links.
How much should be deposited in an account paying 3% interest, compounded monthly, in order to have a balance of $9,000 after 17 years and 3 months?

Answers

Answer:

$5367.54

Step-by-step explanation:

9000 = P(1 + .03/12)^207*

9000 = P×1.676744643

P = 5367.54

*207 = 12 x 17.25

The volume of a cylinder can be determined using the formula V=πr2h, where r and h represent the radius and height of the cylinder, respectively. A volume of paint expressed as (8x3 + 31x2 + 32x)π and a volume of paint expressed as (10x3 + 17x2)π are poured into a paint can in the shape of a cylinder. Determine possible expressions for the radius of the can and the depth of the paint in the can.

Answers

Answer:

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Step-by-step explanation:

Let be the initial volumes of the initial cans represented by these expressions:

[tex]V_{1} = (8\cdot x^{3}+31\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (1)

[tex]V_{2} = (10\cdot x^{3}+17\cdot x^{2})\cdot \pi[/tex] (2)

The resulting volume of the paint can is the sum of the two functions:

[tex]V_{3} = (18\cdot x^{3}+48\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (3)

Then, we proceed to factor the polynomial:

[tex]V_{3} = 2\cdot (9\cdot x^{2}+24\cdot x +16)\cdot x \cdot \pi[/tex]

[tex]V_{3} = \pi\cdot (9\cdot x^{2}+24\cdot x + 16)\cdot (2\cdot x)[/tex] (3b)

By direct comparison with the volume formula for the cylinder we have the following expressions:

[tex]r^{2} = 9\cdot x^{2}+24\cdot x + 16[/tex]

[tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex]

[tex]h = 2\cdot x[/tex]

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Need help as soon as possible pls help

Answers

1. The value of x is:

180° - 40° - 30° = 110°

2. The value of x is:

90°- 38° = 52°

Answer:

Step-by-step explanation:

180 = 40 + x + 30

110 = x

90 = 38 + x

52 = x

A rectangular prism has a volume of 900 cubic units. The prism has a length of 25 units and a width of 12 units. Which equation could be used to find h, the height of the prism?

Answers

Answer:

52 cubic units

Step-by-step explanation:

got it right on edg

Answer:

37h 900

Step-by-step explanation:

Describe the attributes of An acute triangle: An obtuse triangle: A right triangle: How many equal sides does an equilateral triangle have: isosceles: scalene pls help I will give you 15 pointss

Answers

Answer:

An acute triangle - interior angles are always less than 90 degrees with different side measures.

An obtuse triangle - one of the interior angles is more than 90 degrees. if one angle measures more than 90 degrees, then the sum of the remaining two angles is less than 90 degrees.

An right triangle -  a triangle with a right angle (90 degrees)

Equilateral triangle has three equal sides. Isosceles triangles has two equal side lengths. Scalene triangles has no equal side lengths

Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis

the time in years?

fit) = 1450(2.5)

f(t) = 1450(1.25)

FO) = 1450(.025)

f(t) = 1450(1,025)

Answers

Answer:

[tex]f(t) = 1450(1.025)^{t}[/tex]

Step-by-step explanation:

Given

[tex]P =1450[/tex] -- principal

[tex]r = 2.5\%[/tex] --- rate

[tex]n = 1[/tex] --- compounded once a year

Required

Determine the function for compound interest

Compound interest f(t) is calculated as:

[tex]f(t) =P(1 + r/n)^{nt[/tex]

So, we have:

[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]

[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]

[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]

[tex]f(t) = 1450(1.025)^{t}[/tex]

A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 ​years?

Answers

there will be 240 foxes

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

A cylindrical test tube holds 6π cm of liquid when filled to the 6cm mark what is the diameter of the test tube to the nearest hundredth of a Centimeter

Answers

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume of liquid held=  6π cm^3

Height= 6cm

Required

The diameter d of the tube

let us apply the expression for the volume of cylinder

V=πr^2h

6π=πr^2*6

6=r^2*6

r^2= 6/6

r^2=1

r= √1

r=1cm

Hence the diameter d = 2r= 2*1= 2cm

PLZ HELP ME, ASAP I WILL CROWN BRAINLIEST!!!!

Answers

It is the first option. 3 and 4
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