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frez [133]
3 years ago
5

Evaluate this exponential expression. 4. (2 + 5)2 - 52 =

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

Answer:

C. 171

Step-by-step explanation:

4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\

Katen [24]3 years ago
6 0

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

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angel's dad bought a television for her completing all of her digital learning day lesson. he want to warp the gift. the box mea
atroni [7]

Answer: 13 sheets of paper

Step-by-step explanation:

We are given the dimensions of the box and the wrap paper:

Box:

(56 in)(8 in)(36 in)

Warp paper:

(26 in)(17 in)

Now we need to find the surface area of the box and the area of the wrap paper:

Box:

surface_{1}=(56 in)(8 in)(2)=896 in^{2}

surface_{2}=(8 in)(36 in)(2)=576 in^{2}

surface_{3}=(56 in)(36 in)(2)=4032 in^{2}

surface-area=896 in^{2}+576 in^{2}+4032 in^{2}=5504 in^{2}

Warp paper:

area=(26 in)(17 in)=442 in^{2}

Dividing the area of the box by the area of the paper:

\frac{surface-area}{area}=\frac{5504 in^{2}}{442 in^{2}}=12.45 \approx 13

This means Angel's dad needs to purchase 13 sheets of wrapping paper.

4 0
3 years ago
The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
blondinia [14]

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

4 0
2 years ago
HELP PLS WILL GIVE BRAINLISTE
erma4kov [3.2K]

Answer:

-19.8

Step-by-step explanation:

7 0
3 years ago
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe trave
coldgirl [10]

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

4 0
3 years ago
Which of the following statements is always true about the function y=a•b^x
OLEGan [10]

Answer:

c. When a > 0 and b > 1, the function models exponential growth.

Step-by-step explanation:

You have exponential decay when a > 0 and 0 < b < 1.

5 0
3 years ago
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