Find the area. Simplify your answer

Write both sides as powers of 2. First,

1/2 = 2⁻¹

16 = 2⁴

so the equation can be rewritten as

(1/2)ˣ = 16²

(2⁻¹)ˣ = (2⁴)²

Recall that [tex](a^b)^c=a^{bc}[/tex], so that

2⁻ˣ = 2⁸

The bases are the same, so the exponents must be equal:

-x = 8

x = -8

Answer:

LM = 16

Step-by-step explanation:

LM will be half of the whole triangle base

32/2 = 16

Answer:

6 hours

Step-by-step explanation:

8+5=12

12/2=6

It takes40/ 13 or approximately 3.1 hours to do the job with both printers working on it.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

It takes an old printer 8 hours to print all the pictures for the yearbook.

A modern printer can do the same job in 5 hours.

If both work together,

it will take,

x(1/8 + 1/5) = 1

x(8 + 5)/40 = 1

8x + 5x = 40

x = 40/13

x = 3.07

x = approximately 3.1 hours.

Therefore, the work will be done in 40/13 hours.

To learn more about the fractions;

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Answer: 18-12=6/3=2

my number is 2?

Step-by-step explanation:

it didn't work, my answer wasn't 15

Answer:

270° counterclockwise

Step-by-step explanation:

Answer:

10 cm2

Step-by-step explanation:

Length x Width

5 x 2 = 10 cm

Area of a rectangle (A)[tex]=length×breadth[/tex]

[tex]=5cm×2cm[/tex]

[tex]=10cm^2[/tex]

[tex] \frak{Jenny2023147}[/tex]

Answer:

Y/6 <_ 2

Step-by-step explanation:

(Less than it equal to sign)

Answer:

a₂₀ = 69

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 15 - 12 = 3 , then

a₂₀ = 12 + (3 × 19) = 12 + 57 = 69

It is all the numbers multiplied together. 135

Answer:

[tex]\Huge\boxed{D.135 cm^3}[/tex]

Step-by-step explanation:

Hello There!

We can find the volume of the figure by using the formula for volume of a rectangular prism

[tex]V=lwh[/tex]

where l = length, w = width and h = height

we are given all of the dimensions so all we have to do is plug in the values

so

V = 3 x 9 x 5

3x9=27

27x5=135

so the volume of the rectangular prism is 135 cm³

9514 1404 393

Answer:

  9,775,069,161

Step-by-step explanation:

The field has the shape of a trapezoid. Its area can be found using the formula for the area of a trapezoid:

  A = (1/2)(b1 +b2)h

  A = (1/2)(399 +594)(506) = 251,229 . . . . . . acres

__

At 38909 plants per acre, the number of plants that should be planted for maximum yield is ...

  (251,229 ac)(38,909 plants/ac) = 9,775,069,161 plants

_____

Comment on units

The problem statement tells us "each unit of coordinate plane represents one acre." An acre is a unit of area, so we have to assume this means that each square unit represents one acre. That means each unit on each axis is about 208.71 feet, the dimension that would have to be squared to get an area of one acre--43,560 square feet.

Answer:

Step-by-step explanation:

Let Carlita's age be x.

Then we have inequality:

Solve the inequality for x:

Answer:

Carlita is at least two  

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

it's asking when x is equal to -5 what is y equal to?

there's only one point when x=-5 and it's -6

so the point is (-5,-6) and y is equal to -6

hope this helps and makes sense <3

do well babe

Answer:

18, is your answer!

Step-by-step explanation:

Answer:

I think that ur answer is 18 .

Answer: 13:40

Step-by-step explanation:

Answer:

13:40

Step-by-step explanation:

pm is after the first 12 hours of the day

and so 1 pm you just add one

12+1=13

at the 40 minutes

13:40

Answer:

your answer would be

(y - 10) (y + 3)

hope this helps

Answer:

Step-by-step explanation:

-7y+y^2-30    is presented legally, but not logically I will re-write it better

just re-write in standard form

y^2 - 7y - 30      

y² - 7y - 30        is it better now?

  (y  - 10) (y + 3)    

Answer:

it's 189 the area

Step-by-step explanation:

area =189

Answer:

12% = 0.12, you simply just remove the % and add a 0.

Step-by-step explanation:

Answer:

12% = 0.12 in decimal form. Percent means per 100. So, 12% means "12 per 100" or simply 12/100. If you divide 12 by 100, you'll get 0.12!

Have a great day!

Answer:

Yes, u are correct

Step-by-step explanation:

16 + 8b ≥ 50

8b ≥ 34

b ≥ 4.25

Answer:

Length of the longest side of the similar polygon = 15 cm

Step-by-step explanation:

Sides of a polygon are 3 cm, 5 cm, 6 cm, 8 cm and 10 cm

Perimeter of the polygon = 3 + 5 + 6 + 8 + 10

                                          = 32 cm

Perimeter of the similar polygon = 48 cm

Since, scale factor = [tex]\frac{\text{Perimeter of the similar polygon}}{\text{Perimeter of the original polygon}}[/tex]

                               = [tex]\frac{48}{32}[/tex]

                               = 1.5

Since, scale factor = [tex]\frac{\text{Dimension of the similar polygon}}{\text{Dimension of the original polygon}}[/tex]

1.5 = [tex]\frac{\text{Dimension of the similar polygon}}{10}[/tex]

Dimension of the similar polygon = 1.5 × 10

                                                        = 15 cm

Therefore, longest side of the similar polygon = 15 cm

Answer:

10

Step-by-step explanation:

1.25 each song

she bought 8 songs

1.25 x 8 = 10

10-20 = 10

Answer: 5.47 on delta math

Step-by-step explanation:

Answer:21 1/8 is the answer

Step-by-step explanation:

Answer:

A=1/3BH, A=1/3(12)(10), A=40 uwu

Step-by-step explanation:

[tex]48^2+14^2=x^2\\x^2=2500\\x=50[/tex]

The length of the diagonal drawn by Leah will be 50 feets

Given the Parameters :

The length of the diagonal is the value of the hypotenus in a right angles triangle :

Let the length of the diagonal = d

d = √(length)² + (width)²

d = √48² + 16²

d = √2304 + 256

d = √2560

d = 50.5961 feets

Therefore, the closest value for the length of the diagonal in the options given is 50 feets

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Answer: 6y = 30 - 5x

Step-by-step explanation:

Well we convert it to y = mx+b OR y = b - mx.

Answer:

[tex]y = \frac{5}{6}x - 5[/tex]

Answer:

Yes they are proportionate.

Step-by-step explanation:

15:12 = 5x3:4x3

So they are proprotionate.

they have just been multiplied by 3

Answer:

113

Step-by-step explanation:

96+17=113

180-113=67

67+x=180

x=180-67

x=113