Simplify and write the answer as product of powers of prime numbers:

Answer:

the perimeter is 64

Step-by-step explanation:

the length is 24 because 8*3 = 24 and since it is perimeter  of a rectangle there are two sides that are the same length which  is the length are 24+24 and width is 8+8 and all together

24+24+8+8=64

a b and d

not c

dont put c

Write both sides as powers of 16:

[tex]\log_4(2-x)=\log_{16}(13-4x) \implies 16^{\log_4(2-x)}=16^{\log_{16}(13-4x)}[/tex]

Since 16 = 4², we can rearrange the left side to get

[tex]16^{\log_4(2-x)}=(4^2)^{\log_4(2-x)}=4^{2\log_4(2-x)}=4^{\log_4(2-x)^2}[/tex]

Then, recalling that [tex]b^{\log_ba}=a[/tex], we have

[tex]4^{\log_4(2-x)^2}=16^{\log_{16}(13-4x)}\implies(2-x)^2=13-4x[/tex]

Now solve for x :

[tex](2-x)^2=13-4x[/tex]

[tex]4-4x+x^2=13-4x[/tex]

[tex]x^2-9=0[/tex]

[tex](x+3)(x-3)=0[/tex]

[tex]\implies x=-3\text{ or }x=3[/tex]

Notice that if x = 3, then log₄(2 - x) = log₄(-1) is undefined, so we throw out this solution. We don't run into this problem with x = -3, so that's the only (real) solution.

Answer:

54.6 hours

Step-by-step explanation:

65x2 is 130 130-950 is 820 then 820 divided by 15 is 54.6 therefore meaning you have to work 54.6 hours to get 950$ you can check this by doing 54.6x15+130, might not be exact because i rounded to the nearest tenth.

Hope this helps!

Answer:

1.) m<6 and m<8=142, m<9=38

2.) m<7 and m<9=66, m<8=114

note: brainliest would be appreciated.

Step-by-step explanation:

Answer:

1)[tex]x^2+x-12=0[/tex]

2)[tex]x^2+8x-20=0[/tex]

3)[tex]x^2+0.9x-0.36=0[/tex]

4)[tex]2x^2-6x-36=0[/tex]

5)[tex]x^2-5x-84=0[/tex]

Step-by-step explanation:

1) The length of a wooden frame is 1 foot  longer than its width and its area is equal  to 12 sq. ft.

Let the width be x

We are given that length of a wooden frame is 1 foot  longer than its width

So, Length = x+1

Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]

ATQ

x(x+1)=12

[tex]x^2+x-12=0[/tex]

2)The length of the floor is 8 m longer than  its width and there is 20 square meters.

Let the width be x

We are given that length of the floor is 8 m longer than  its width

So, Length = x+8

Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]

ATQ

x(x+8)=20

[tex]x^2+8x-20=0[/tex]

3)The length of a plywood is 0.9 m more  than its width and its area is 0.36 m2.

Let the width be x

We are given that length of a plywood is 0.9 m more  than its width

So, Length = x+0.9

Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]

ATQ

x(x+0.9)=0.36

[tex]x^2+0.9x-0.36=0[/tex]

4)The area of rectangle whose length is six  less than twice its width is thirty-six

Let the width be x

We are given that length is six  less than twice its width

So, Length = 2x-6

Area of rectangle = Length \times Breadth = x(2x-6)

ATQ

x(2x-6)=36

[tex]2x^2-6x-36=0[/tex]

5)The width of a rectangular plot is 5 m  less than its length and its area is 84 m2.

Let the length be x

Width = x-5

Area =[tex]Length \times Breadth = x(x-5)[/tex]

ATQ

x(x-5)=84

[tex]x^2-5x-84=0[/tex]

Answer:

96

Step-by-step explanation:

a lot fffdvxv chfx yhdfgddbf

Answer:

B..

lol

Step-by-step explanation:

Answer:

[tex] \huge y = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]7(1 - y) = -3(y-2)[/tex]

Expand the terms in the bracket

That's

[tex]7 - 7y = - 3y + 6[/tex]

Add 3y to both sides of the equation

[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]

Subtract 7 from both sides by the equation

[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]

Divide both sides by - 4

[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]

We have the final answer as

[tex]y = \frac{1}{4} \\ [/tex]

Hope this helps you

Answer:

24

Step-by-step explanation:

Answer:

x=8

Hope this helps! Please mark Brainliest!

The number of hours that Javier spends on cardio and weightlifting will be one hour.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Every Saturday, Javier works out for two hours. His workout consists of two components. Javier works out with cardio and weights.

If he spends the same amount of time on both parts.

Let x be the number of hours spent on weightlifting. Then the equation is given as,

x + x = 2

2x = 2

x = 1 hour

The number of hours that Javier spends on cardio and weightlifting will be one hour.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

2/15 or 0.13

Step-by-step explanation:

Answer:

0.13328

Step-by-step explanation:

it's easier to write in that form

Answer:

0.574%  each

Step-by-step explanation:

1/2 : 87 = 0.00574

0.00574 * 100 = 0.574% each

Answer:

D. all atoms are the same

Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other

Answer:

Lungs im pretty sure

Answer:

Lungs are not part of the circulatory system. They're part of the respiratory system

Step-by-step explanation:

Answer:

37,502

Step-by-step explanation:

With the provided details we have:

Range of number = 37,493 - 37,503

The number is even number

Therefore, possible options are:

37,494

37,496

37,498

37,500

37,502

When number rounded to nearest tens, is  less than the original number

Rounding off above numbers to nearest tens we have

37,490

37,500

37,500

37,500

37,500

There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.

37,494 and 37,502

The next condition is on rounding to nearest 1,000's

37,494 rounded to 37,000

37,502 rounded to 38,000

Provided that the rounded number in 1000's is more than the original mystery number.

37,000 is less than 37,494 thus not feasible.

38,000 is more than 37,502

This is the mystery number.

Answer:

500

Step-by-step explanation:

follow me life is soooooooo slow at this age............................ ................................. .......

Answer:

Angles 10 and angles 7 are obtuse angles.

Step-by-step explanation:

The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The shape is a combination of a rectangle and a trapezoid.

The area is the summation of the area of the rectangle and the area of the trapezoid. Then we have

Area = Area of the rectangle + Area of the trapezoid

Area = 5 x 9 + (1/2) x (4 + 9) x 4

Area = 45 + 26

Area = 71 square inches

The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ2

The missing graph is given below.

3 + 5 = 8

3 - 5 = -2

-2 and 8

Answer:

answer it is 17 for real it is

Answer:

-0.15 I believe

Step-by-step explanation:

siri did the math for me lol

The answer would be - 0.15

Answer:

m<ZJNK=47°

Step-by-step explanation:

m<ZJNK=103°-24°-32°=47°

Answer:

9 weeks

Step-by-step explanation:

5 x 9 = 45

45 + 55 = 100

Answer:

55 + 5x ≥ 100.

5x ≥ 45.

Step-by-step explanation:

write the first equation shown above first, then subtract 55 from 55 and 55 from 100. do not use 0 later on in your equation! 100 - 55 = 45. then write the second equation. after you write the second equation, divide 5 by 5 and 45 by 5. do not use 0 later on in your equation! 45 divided by 5 = 9. she must save for 9 weeks. i hope this works! here is a picture of my work to help you understand it better! <3 it’s kind of blurry, but if you focus enough it’s easier to read.

We want to find the slope of a line perpendicular to 15*x + 9*y = 189.

The slope of the line perpendicular to the given line is 9/15.

First, a general line written in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.

So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.

To do it, we need to isolate y.

9y = -15x + 189

y = (-15/9)*x + 189/9

So the slope is -15/9

A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:

-(-9/15) = 9/15

The slope of the line perpendicular to the given line is 9/15.

If you want to learn more, you can read:

https://brainly.com/question/9379960

Answer:

210

Step-by-step explanation:

a(b)(-c) (PLUG IN THE NUMBERS)

7(-2)(-15) (multiply 7*-2)

-14(-15) (multiply them together two negatives make a positive)

210

Answer:

210

Step-by-step explanation:

plug in what ya know, and it is 7(-2)(15)

7(-2)=-14 and -14(15)=210