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JulsSmile [24]
2 years ago
11

Simplify -4(-9p + -3) +2(-2p + 6)

Mathematics
1 answer:
zalisa [80]2 years ago
4 0

Answer:32p+24

Step-by-step explanation:

-4(-9p + -3) +2(-2p + 6)

36p+12-4p+12

32p+24

Hope it helped you

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A. How long does the piece of wire need to be to make the shape? Explain.
Misha Larkins [42]

A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.

B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

Step-by-step explanation:

Step 1:

The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle = 2 \pi r.

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle = 2(3.1415)(22) = 138.226 cm.

\frac{3}{4} (138.226) = 103.6695 cm and \frac{1}{4}(138.226) = 34.5565 cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

7 0
3 years ago
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
liq [111]

Answer:

7/3

Step-by-step explanation:

f(x) = 3x^2 + 2x + 1, [0, 2]

f(0)=1

f(2)=17

f'(c)=f(2)-f(0)/2-1

f'(c)=17-1/1=16

f'(c)= 6x+2

6x+2=16

6x=16-2

6x=14

x=14/6

x=7/3

4 0
3 years ago
Read 2 more answers
Find the perimeter of this complex figure
denpristay [2]

Answer:

38

Step-by-step explanation:

9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38

6 0
2 years ago
It takes Sam 3 hours to rake the front lawn while his brother, Dave, can rake the lawn in 5 hours. How long will it take them to
OleMash [197]

Answer:

3 hours + 5hours = 8 hours ÷ 2 =

4 hours is your answer.

Step-by-step explanation:

If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people

equals 4 hours for 2 people on 1 job.

4 0
3 years ago
a jet flying at an altitude of 30000 ft passes over a small plane flying at 15000 feet headed in the same direction the jets fly
Sholpan [36]

The jet has gained on the small plane at the rate of 10 miles per minute, so is flying 600 miles per hour faster. (There are 60 minutes in an hour.)

Since the jet is flying twice as fast as the smaller plane, the small plane's speed is the same as the difference in speed: 600 mph.

The jet's speed is double that, 1200 mph.

  • small plane: 600 mph
  • jet: 1200 mph
8 0
2 years ago
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