What is the area of this trapezoid? Please find the correct answer and equation.

[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]

[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]

[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]

[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]

[tex]\\ \rm\longmapsto 2^m=4^m[/tex]

[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]

[tex]\\ \rm\longmapsto 2^m=m[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]

Answer:

PQ=12

QR= 8

Hope it helps.

Answer: PQ = 12

QR = 8

Step-by-step explanation:

3x + 6 + 2x+4 = 20

5x = 20- 10

so, x = 2

so

PQ = 3x + 6 = 3*2+6 = 6+6 = 12

QR = 2x+4 = 2*2+4 = 4+4 = 8

Answer:

y=16

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

y is 16

Step-by-step explanation:

[tex]4 = \frac{64}{y} [/tex]

but 64 is 4³:

[tex]4 = \frac{ {4}^{3} }{y} [/tex]

make y the subject:

[tex]y = \frac{ {4}^{3} }{4} [/tex]

from law of indices:

[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]

Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.

The number of students that drank the recommended amount of water are 125

Given that

[tex]Recommended = 40\ or\ more[/tex]

The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more

From the histogram (see attachment), only 2 bars are above the frequency of 40.

And the number of students in these bars are: 50 and 75

[tex]Total =50 + 75[/tex]

[tex]Total =125[/tex]

Hence, the number of students that drank the recommended amount of water are 125

Read more about histograms at:

https://brainly.com/question/14421716

Answer:

A (the firs one)

Step-by-step explanation:

Intersecting at (-3, 3)

Answer:

Its minus 70 every time

Step-by-step explanation:

n=32

Answer:

it will take 36 months to completely pay the loan

Step-by-step explanation:

see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380

every month we have to substract 70

so we can make a pattern

0 months = 2520

1 month = 2450 that is 2520 - 70

2 months =  2380 that is 2520 - (2 × 70)

3 months = 2310 that is 2520 - (3 × 70)

.....

then it continues till n months

so

n months = 2520 - (n ×70)

n months = 2520 - (36 × 70)

36 months = 2520 - 2520

Answer:

Step-by-step explanation:

Let the number of days is x.

Joseph tweets 13 times a day.

The number of tweets after x days would be:

t(x) - number of tweets after x days.

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^

Step-by-step explanation:

3m is the answer.

hope it helps

Answer:

3 meters

Step-by-step explanation:

The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).

Answer: 9/1

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

-5n-4(-7-4n)=36+7n

Distribute

-5n +28 +16n = 36+7n

Combine like terms

11n +28 = 36+7n

Subtract 7n from each side

11n+28-7n = 36+7n-7n

4n+28 = 36

Subtract 28 from each side

4n+28-28 = 36-28

4n = 8

Divide by 4

4n/4 = 8/2

n=2

Answer:

you can solve it using quadratic formula

w=5-2 √6 or w=5+ 2√6

Step-by-step explanation:

with God everything is possible

explanation

because we go to church

Answer:

5+5m=15

Step-by-step explanation:

Answer:

here you go :)

Step-by-step explanation:

You can approach this problem by thinking about going in the opposite of the directions indicated starting at the point (3, 4).

If you ended at an x-coordinate of 3 after having moved 4 to the left, then you can start at 3 and move 4 to the right to see what x -coordinate you started at:  3 + 4 = 7

The x coordinate of the STARTING point would have been 7.

You can do the same with the y-coordinate: start at 4 and travel down 1 unit.  The y-coordinate of the STARTING point would be 3.

Therefore, the coordinates of the starting point would have been  (7,3)

Answer:

the answer is on the computer

Step-by-step explanation:

Answer:

C 6 loaves with flour left over

Step-by-step explanation:

Take the amount of flour and divide by the amount of flour per loaf

9/2 ÷ 2/3

Copy dot flip

9/2 * 3/2

27/4

Change to a mixed number

4 goes into 27 6 times with 3 left over

6 3/4

Answer:

He can make 6 loafs and he would have 1/6 cups of flour left

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-(-1)/5-(-1)

-2/6

-1/3

Best of Luck!

Answer:

The answer is $1,300

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

Answer:

b

Step-by-step explanation:

Answer:

y+11

Step-by-step explanation:

y-3/3+12

=y-1+12

=y+11

Answer:

Lisa spent $35.50

Step-by-step explanation:

$20.50 + $8.75 + $6.25 = 35.5

In terms of money, it is $35.50

7/11 , 0.636, and 0.63

Hope this helps

Answer:

Least to Greatest

7/11 ,  0.636,  0.63

Step-by-step explanation:

7/11 = 0.6363636363636364

so this number is least

Answer:

Step-by-step explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x: