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3 years ago

6

What percent of 200 miles is 150 miles

1 answer:

Anna71 [15]3 years ago

4 0

150 miles is exactly 75% of 200 miles.
Hope that helped =)

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What is the quotient (6x4+15x3+10x2+10x+4) ÷ (3x2 + 2)?

Elza [17]

We want to evaluate
$\frac{6x^{4}+15x^{3}+10x^{2}+10x+4}{3x^2+2}$

Perform long division
2x² + 5x + 2
----------------------------------------
3x²+2 | 6x⁴ + 15x³ + 10x² + 10x + 4
6x⁴ + 4x²
----------------------------------------
15x³ + 6x² + 10x + 4
15x³ + 10x
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6x² + 4
6x² + 4

Answer: 2x² + 5x + 2

3 0

3 years ago

Kevin and Randy Muise have a jar containing 36 coins, all of which are either quarters or nickels. The total value of the coins

borishaifa [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = $\frac{1}{2}(\pi r^2h)$

= $(\frac{1}{2})(\pi )(17-11)^2(6)$

= 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

= 11 × 6 × 12

= 792 cubic inches

Volume of the solid figure = 339.29 + 792

= 1131.29

≈ 1131 cubic inches

8 0

3 years ago

Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.

maw [93]

Answer:

The answer is 85

Step-by-step explanation:

The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).

n in this case is 10 (the number of numbers in the series)

an is 22 (plug in 10 to the expression 3n-8)

and a1 is -5 (plug in 1 to the expression 3n-8)

so when you plug everything in to the final equation, you get

(10/2) * (-5 + 22)

5 * 17

85

8 0

4 years ago