Expand the logarithm. Simplify, if possible.
log7(49^w)

Answers

Answer 1

Step-by-step explanation:

Let x = log7(49^w).

We have 7^x = 49^w.

=> 7^x = (7^2)^w

=> 7^x = 7^2w.

=> x = 2w.

Therefore log7(49^w) = 2w.


Related Questions

Which line has a slope equal to 1?

Answers

The slope of a tangent line.
Hope I helped

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

Consider the graph shown.


Complete the sentence based on the graph.
The value of f(x) is -2 at x =

and the value of f (-2) =

Answers

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

unit rate for $112 in 8 hours

Answers

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Why are STEM careers important now? Have you seen this in your school?​

Answers

Answer:

they are important because most of everyday life jobs revolve around the stem careers.

HELP ME PLEASEEEEEEEEEEEE NOWWWW ASAPP

Answers

( 3 , 5 ) is the answer

Slope-Intercept Form of 3x – 4y – 16 = 0

Answers

Answer:

Y= 3/4x - 4

Step-by-step explanation:

Hey there!

The answer to your question is y = 3/4x - 4

We have to solve for y:

3x - 4y - 16 = 0

3x - 4y = 16

-4y = -3x + 16

y = 3/4x - 4

Hope it helps and have an amazing day!

3+(-4) on a number line iready

Answers

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

Will give brainlist
The radius of a circle is 40 miles. What is the angle measure of an arc 9pi miles long?

Answers

Answer:

40.5°

Step-by-step explanation:

So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:

c = 2πr

Where c is the circumference, and r is the radius of the circle. Therefore:

c = 2π(40)

Simplify:

c = 80π

Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:

[tex]\frac{9\pi }{80\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Now if we cross-multiply to solve for x:

(9)(π)(360) = (80)(π)(x)

When simplified dividing by 10π :

9*36 = 8x

Simplfy.

324 = 8x

Solve for x.

x = 40.5

Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012

Answers

Answer:

11

Step-by-step explanation:

I think if I am wrong I am sorry

which triangles are congruent in the figure

Answers

Answer:

Step-by-step explanation:

The two triangles that are congruent are ABE and CBD by SSS.

Wanna help a girl out

Answers

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

Please help at least one please number it!!!

Answers

Answer:

34, 50

Step-by-step explanation:

An amount divide by 17: 34÷17=2

25 less than x: 50-25=25

1) 17 • y
2)10 + x
3)x:5
4) x - 25
5) b + -12
6) x - 36
7) n - 5
8) a/17

(please give me brainliest)

517 37/50 + 312 3/100

Answers

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:


2^5/4 = 2^5/2^a= 2^b = c

What is

a=

b=

c=

Answers

the answer is: a=2, b=3, c=8

It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?

Answers

If there were 10 strawberry cupcakes then chocolate would have the same number as 10= 1/2. Then 2/4 can be simplified to 1/2 meaning that Rick are 1/2 of 10 and 1/10 is just one out of the 10 strawberry cupcakes.

Rick ate 5 Chocolate Cupcakes

Steward are 1 Strawberry Cupcake

Answer:

6 cupcakes or 6/10 or 3/5

Step-by-step explanation:

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom

Answers

Answer:

143

Step-by-step explanation:

multiply the 2 together

plz brainliest!

The area of her bedroom is 143 square feet.

What is area of rectangle?

The area of rectangle is product of its length to its width.

i.e., Area of rectangle= length x width

Given:

length = 13 feet

width = 11 feet

so, Area of rectangle = length x width

                                   = 13 x 11

                                   = 143 square feet.

Hence, the area of her bedroom is 143 square feet.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

#SPJ2

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Using the graph below graph y = sin(2x + 7) by plotting two points.

Answers

Answer:

Look at the graph below, hope this was helpful :)

Step-by-step explanation:

I need help with finding slopes from two points thank you

Answers

Answer:

i do believe the answer is 6/7

The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.

Answers

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

4 p 2x + 3p 7x
Help please

Answers

Answer:

Hope this helps :O

Step-by-step explanation:

I need help with this one

Answers

Answer:

Yes they are similar

Step-by-step explanation:

They have the same measurements adding up to 180.

Triangle RST angles are 120, 20, and 40

Triangle JKL angles are 120, 40, 20

Those are the same numbers.

The students at Job's high school

were surveyed to determine their

favorite foods. The results are shown

in the table below. Suppose students

were randomly selected and asked

what their favorite food is. Find the

probability of each event. Write as a

fraction in simplest form.


Favorite Food Responses

Pizza 19

Steak 8

Chow-mein 5

Seafood 4

Spaghetti 3

Cereal 1


16. P(steak)

17. P(Spaghetti)

18. P(cereal or seafood)

19. P(not chow-mein)

19. P(pizza)

20. P(cereal or steak)

21. P(not steak) 22. P(not cereal or seafood)

23. P(chicken) 24. P(chow mein or spaghetti)

Answers

Maybe pay attention to school and u would know

Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

igcwochcd chocho dhvohov dochvo

x^2+5x-6 how do i factor this

Answers

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

x-1)(x+6. Hope it helps man

Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?

Answers

A is the answer bc the of you add and then multiply the all them number it will get you a candy bar or a pencil

9
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB. The equation has one solution, x = 0.
OC. The equation has no solution.
OD
The equation has infinitely many solutions.
Reset
Next

Answers

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]

[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Which is an equation of a direct proportion

Answers

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

need help with this

Answers

Answer:

y = 1

Step-by-step explanation:

Since 15 and 5, 18 and 6, and 27 and 9 all have 3 in common, then 3 should go into 1.

Answer:

1

Step-by-step explanation:

equation is always x/3=y

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