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4 years ago

Can someone explain how to do #3?

Mathematics

2 answers:

katrin2010 [14]4 years ago

8 0

Remember PEMDAS ? The order of operation: Find the sqt of 2 and then raise that value to the 3rd power to get 2.828...

It wants to know the value of that operation to the nearest tenth place, the first value after the decimal. It is called tenth because the value is 1/10 of a whole (1). So 2.8

dsp734 years ago

5 0

$\displaysyle (\sqrt 2)^{3}=(2^{\frac{1}{2}})^3=2^{\frac{1}{2} \cdot 3}=2^{\frac{3}{2}}=\sqrt {2^3}=\sqrt 8$

√8 is between 2 and 3, because 2²=4<8, but 3²=9>8. Also, our value is closer to 3 than to 2, so it is more than 2.5 and we have C and D options left.

Among these two numbers we find the one which is closer to √8.

C. 27=√729 ⇒ 2.7=√7.29

D. 28=√784 ⇒ <u>2.8=√7.84</u>

Hence our answer is D) 2.8

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Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back i

liq [111]

Let x = the speed of the plane, mph
Let y = the speed of the wind., mph

When flying with a tailwind, the effective speed of the plane is (x + y), therefore
x + y = 376 (1)

When flying back against the wind, the effective speed is (x-y), therefore
x - y = 312 (2)

Add (1) and (2).
2x = 376+312 = 688
x = 344 mph
y = 376 - x = 32

Answer:
Plane: 344 mph
Wind: 32 mph

3 0

4 years ago

A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rent

kodGreya [7K]

Answer:

1. 50 = 5x+15

2. 50 = 3x+20

3. 7

4. 10

5. Skating Rink

Step-by-step explanation:

1. As the maximum amount of money is 50 dollars, you are given that there is a 5 dollar entry *per* person, alongside the 15 room rental fee added on. That is where the equation 5x+15 = 50 comes from

2. The same can be said with the skating rink, with different numbers. 3 *per* person plus the extra 20 room rental fee.

3. 50 = 5x+15 can be solved by subtracting 15 by both sides. This gives us 35=5x and dividing by 5 will give us 7 = x

4. 50 = 3x+20 can be solved by subtracting 20 by both sides. This gives us 30=3x and dividing by 3 will give us 10 = x

5. As 10>7, it's apparent that you can bring more people to the Skating Rink

5 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through (-5, -1)<br> and (2, -1).

Arlecino [84]

Answer:

y = -1

Step-by-step explanation:

As we move from point (-5, -1)

to point (2, -1), x increases by 7 and y stays the same.

The slope of this line is thus m = [-1 - (-1)] / 7, or just m = 0.

This is a horizontal line. Its equation is y = -1.

6 0

3 years ago

The surface area of the solid is about ____ inches squared

Dafna11 [192]

Answer:

Surface area of the whole figure $= 320.28inch^2$

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch and Height of cylinder=13 inch

Surface area of the cylinder with one circular face

$=2\pi rh+\pi r^2$

As, $\pi =\frac{22}{7}= 3.14$

$=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2$

Surface area of the cone excluding base:

$=\pi *r*l$

l= slant height=5 inch r= radius= 3 inch

Surface area of the cone = $3.14*3*5$

$=47.1inch^2$

Total surface area of the whole figure $=273.18+47.1$

$= 320.28inch^2$

5 0

3 years ago

Suppose both the mean and the median of a distribution are 6. which of these statements is true about the mode of the distributi

PolarNik [594]

A) this is not enough information to compare the mode.

For example:

{1,1,6,11,11]: mean 6, median 6, mode 1 and 11

{4,4,6,8,8} mean 6, median 6 mode, mode 4 and 8

8 0

3 years ago