Write log1/4(1/64)=3 in exponential form

Answers

Answer 1
For logarithmic equations,
log
b
(
x
)
=
y
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
b
y
=
x
such that
x
>
0
x
>
0
,
b
>
0
b
>
0
, and
b

1
b

1
. In this case,
b
=
1
4
b
=
1
4
,
x
=
1
64
x
=
1
64
, and
y
=
3
y
=
3
.
b
=
1
4
b
=
1
4
x
=
1
64
x
=
1
64
y
=
3
y
=
3
Substitute the values of
b
b
,
x
x
, and
y
y
into the equation
b
y
=
x
b
y
=
x
.
(
1
4
)
3
=
1
64

Related Questions

Please help don't answer just for points please'




Zoom in to see clearer :)​

Answers

Answer: It’s c .......

Fill in the blanks to the picture above

Answers

The left side was cut out but x will be on top and 5 in the lower square. The last one is the answer.

There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?

Answers

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

2+7+12+17+22+27 sigma notation

Answers

Answer:

87  ?

Step-by-step explanation:

It will be 87 for sureeeeeeee

Please help if you know it. don't raid me for points

-user

Answers

1. x + 6 = 8

8 - 6 = 2

x = 2

2. 12 + y = 21

21 - 12 = 9

x = 9

3. h - 7 = 13

13 - 7 = 6

x = 6

4. 35 = 50 - 15

p = 50

5. 17 = 8 + 9

e = 8

6. 0 + 10 = 10

k = 10

Hope this helps! Have a wonderful day!

Open Ended Alexandra is working on a float for a parade She is making a sphere out of paper mache She knows the circumference of a cross section through the center of a sphere. How can Alexandra find the radius of the sphere?​

Answers

Answer:

r=C2

Step-by-step explanation:

C=2r is the equation to find circumference

She needs to work backwards in this case, so:

r=C2

r=The circumference she knows x 2 x 3.14(or 3.14159265359)

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

I would recommend writing/typing all of this(Especially if you need to show you work)!

I hope this helped!

which rectangle represents dilation by a scale factor of 2 from the rectangles center?

Answers

Answer:

Original coordinates of F is (2,1)

Step-by-step explanation:

when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be

( 2 x 1/2, 1 x 1/2 ) = ( 1, 1/2 )

How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years.

Answers

Answer:

$7,359.65

Step-by-step explanation:

The computation of the amount that to be deposited is shown below:

Here we have to calculate the present value

As we know that

Present value = future value ÷(1+ rate of interest)^years

where,

rate of interest = 12.2% ÷ 4 = 3.05%

And, the years is = 5 × 4 = 20

Now the present value is

= $13,422 ÷ (1+ 3.05%)^20

= $7,359.65

The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of the perimeter of the targer rectangle to the perimeter of the smaller rectangle.

Answers

Answer:

I think that the ratio would be 12:11

Step-by-step explanation:

Because if you multiply 3 and 9 then you do 12:11

Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)

Help p-p

Answers

3(-5y^2-3)
=-15y^2-9

Answer:

Step-by-step explanation:

this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :)  keep trying

this is called  "Distribution" and is used often

3(-5[tex]y^{2}[/tex] -3)

-15[tex]y^{2}[/tex] +9

if you need more explanation just put your questions at the comments of this problem ... i'll see them   :)

Is anybody else here to help me ??​

Answers

Answer:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Step-by-step explanation:

I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.

I'm going to start with the left hand side and see if I can turn it into the right hand side.

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

I'm going to use a cofunction identity for the 2nd term.

This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.

[tex]\cot(x)+\tan(x)[/tex]

I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.

I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]

So we have:

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:

[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.

That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].

So since I want one term I'm going to write as a single fraction first:

[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]

Find a common denominator which is [tex]\cos(x)[/tex]:

[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]

By  the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:

[tex]\frac{1}{\cos(x)}[/tex]

By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:

[tex]\sec(x)[/tex]

By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:

[tex]\csc(\frac{\pi}{2}-x)[/tex]

Let's just do it all together without all the words now:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

I really need help please

Answers

Answer:

b= 64 m

Step-by-step explanation:

[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]

[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]

[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]

 = [tex]64[/tex] m

Answer:

is it math

Step-by-step explanation:

omg I really really really hate math

A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?

Answers

Answer: They can hand out exactly 80
Explanation: 200 divided by 2 1/2 = 80

Dirk bought a set of stamps. The number of stamps in the set he bought is divisible by 2, 3, 5, 6, and 9. Which set is it?

Answers

Answer:

Germany - 90

Step-by-step explanation:

Here are the options to this question

Germany 90

Sweden   78

Japan       63

Canada    75

The appropriate answer should be a multiple of 2, 3, 5, 6, and 9. That is when the number is divided by 2, 3, 5, 6, and 9 it should have a remainder of zero.

90 / 2 = 45

90 / 3 = 30

90 / 5 = 18

90 / 6 = 15

90 / 9 = 10

Thus, the appropriate number is 90

When 78 is divided by 5 and 9, the remainder is not zero

When 63 is divided by 2, 5 and 6, the remainder is not zero

When 75 is divided by 2, 3, 6 and 9, the remainder is not zero

the cost of buying shoes is shown in the table below

Answers

Answer:

Part AThe graph is attachedPart B

For zero number the cost is zero and the rate of change is 25.

0 - 0, 1 - 25, 2 - 50, 3 - 75, 4 - 100

This is the indication of the proportional relationship

Part CIt is a constant change as the difference is same for each step - 25The ordered pair (1, 25) shows the unit rate is $25 per pair of shoesPart DConstant of proportionality is 25Part E

The equation is:

y = 25x,

where y - cost, x - number of pairs of shoes, 25 - constant of proportionality

Which values are solutions to the inequality below? Check all that apply.
x^2<8
A. -2
B. 3
C. 4
D. 2.

Answers

2 I think that is the answer

What is the Angled measurement of ∠B

Answers

Answer: The measurement of angle B is 50 degrees

Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve

Step-by-step explanation:

According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.

m<a + m<b + m<c = 180⁰

2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.

2a⁰ + a + a⁰ + 10⁰ = 180⁰

4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.

4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰

4a⁰ = 170⁰ Divide 4 from both sides.

4a⁰ / 4 = 170⁰ / 4

a = 42.5⁰

Now that you found a, plug 42.5⁰ in place of in all angles and solve.

m<a :-

2a⁰

2(42.5)⁰

85⁰

m<b :-

a + 10⁰

42.5⁰ + 10⁰

52.5⁰

m<c :-

a⁰

42.5⁰

m<a = 85⁰

m<b = 52.5⁰

m<c = 42.5⁰

Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.

m<a + m<b + m<c = 180⁰

85⁰ + 52.5⁰ + 42.5⁰ = 180⁰

180⁰ = 180⁰

Thus, m<b = 52.5⁰.

Hope this helps, thank you :) !!

What is b in the equation 15 + b = 23?

Answers

you would do 23-15 to get b

Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?

Answers

Answer:

48.1 cubic meters or 48100000 cubic centimeters

Step-by-step explanation:

Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75

Volume of Cylinder=Pi×radius squared×height

Lastly 3.14×1.75×1.75×5=48.1

I hope this helps you in any way:)

Please help, it would mean the world

Answers

1. 12x+ 21
2.88x-33
3.-15x+(-10)

I WILL GIVE YOU BRAINLIST NEED HELP ASAP
The object below is made of six identical rectangular prisms. The overall dimensions of the composite solid are 24 inches (in.) by 24 inches by 6 inches. What is the volume, in cubic inches, of a single prism?
A
16in.3
B
96in.3
C
192in.3
D
576in.3

Answers

Answer is D

It’s D because if you multiply each side of the object (How to determine volume) then divide by six (because they want the volume of just one square and there is six squares) Then you get 576

Volume of the single prism will be : 576 inches

What is a Rectangular Prism ?

In geometry a Rectangular prism is a polyhedron with two congruent and parallel bases. It has six faces and have twelve edges.

Volume of a Rectangular prism = L * B * H

                                                      = 24 * 6 * 24

                                                    = 3456 inch^3

Since , it consists of six identical Rectangular prisms

Volume of single prism will be  = 3456 / 6

                                                      576 inch^3

                 

Learn more about  Rectangular Prism:

https://brainly.com/question/21308574?referrer=searchResults

#SPJ2

May you please answer these four questions for me? This is all i ask of you

Answers

Answer:

1. 151.29 in.²

2. 413 km²

3. 75 cm²

Step-by-step explanation:

1. 12.3 in. × 12.3 in. = 151.29 in.²

2. 17.5 km × 23.6 km = 413 km²

The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.

3. 15 cm × 5 cm = 75 cm²

For further calculation steps, look at these images:

These images are about multiplication and the decimal numbers in the problems have been converted to fractions.

PLZ HELP WILL GIVE BRAINLIEST

Answers

The first one (x+4)(x+4)

Rob saves £500 in his bank account.
The bank pays 4% simple interest
per year.
a) How much interest will he have
earned after five years?
b) How much money will he have in
the bank after five years?

Answers

Answer:

step 1: =4% of £500

=20

=20 × 5 years

= 100

= £500 + £100

=£600 ....therefore Rob will have £600 in his bank account after years.

write a sentence describing the meaning of the statement c(2)=40

Answers

Step-by-step explanation:

A number,c times two equal forty.

Answer:

The following statement means that the cost of 2 months' worth of gigabytes costs $40.

Step-by-step explanation:

Go shop Quelenasboutique on Esty!

What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°

Answers

Answer:

A. 80

Step-by-step explanation:

T° = H°

if you rotated the first shape to match the second one, H° would fall on T°

a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point​

Answers

C=9.4 Miles hope this helps

Find the area of the shaded part of the triangle below. Round to the nearest tenth if needed.

Answers

Answer:

212.5

Step-by-step explanation:

For triangles, A = (bh)/2

You can do 15+25 to find the base, which is 40. From here do 17*40/2. You get 340. However, you need to remove the right triangle on the left side.

Again do 17*15/2, which you get 127.5.

From here subtract 127.5 from 340 and get 212.5

Answer:

Step-by-step explanation:

f m<1 = 2x + 3 and the m<4 = 3x + 2, then find the m<3.

Answers

Answer:

https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation:

I give you 35 points, PLS HELP!!

If CD = 8√3, find AE

Answers

Answer:

not 35

Step-by-step explanation:

it 18

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