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dsp73
2 years ago
5

Evaluate 150 -(2 + 2)^3.

Mathematics
2 answers:
RUDIKE [14]2 years ago
7 0

Answer:

86

Step-by-step explanation:

ASHA 777 [7]2 years ago
4 0

Answer:

86

Step-by-step explanation:

Let's first focus on the Parenthesis (following PEMDAS).

2+2=4

-4^3 = -64

150-64 = 86

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Need help question #3. Show steps please
Oksana_A [137]

Answer:

B.

Step-by-step explanation:

We are given:

\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx

Distribute. Recall exponent properties;

\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx

Simplify:

\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

8 0
2 years ago
Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same ti
tiny-mole [99]

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

 

We know that the formula for distance is:

distance = velocity * time

 

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

 

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

 

Therefore Scott needs to travel for 2 hours.

4 0
3 years ago
Which of the following does not have a ratio of 2:3:4?
Ksju [112]
2 does not have a ratio
5 0
3 years ago
The ratio of males to females in a cycling club is 5:3.
taurus [48]

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

6 0
3 years ago
If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?
Fittoniya [83]
Step 1: Find the value of one variable in terms of the other.

a+3b=7\\a=7-3b

Step 2: Substitute the value you just found for this variable in the other equation.

3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}

Step 3: Use your new value for the second variable to find the first.

a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}

Now that we know the values for a and b we can find the value of 4a+b.

4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}
6 0
3 years ago
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