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3 years ago

Find the surface area of the pyramid. The side lengths of the base are equal.

Mathematics

1 answer:

const2013 [10]3 years ago

3 0

To find the answer just multiply all the sides together

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Find the distance, in feet, a particle travels in its first 2 seconds of travel, if it moves according to the velocity equation

just olya [345]

Answer:

The particle will travel 6 feet in first 2 seconds.

Step-by-step explanation:

We have been given that a particle moves according to the velocity equation $v(t)= 6t^2-18t+12$ . We are asked to find the distance that the particle will travel in its first 2 seconds.

$s(t)=\int |v(t)|dt$

$s(t)=\int\limits^2_0 |6t^2-18t+12|dt$

Now, we will eliminate the absolute value sign as:

$s(t)=\int\limits^1_0 6t^2-18t+12dt+\int\limits^2_1 -6t^2+18t-12dt$

$s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1$

$s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1$

$s(2)=2(1)^3-9(1)^2+12(1)-(2(0)^3-9(0)^2+12(0))-2(2)^3+9(2)^2-12(2)-(-2(1)^3+9(1)^2-12(1))$

$s(2)=2-9+12-(0)-16+36-24-(-2+9-12)$

$s(2)=5-(0)-4-(-5)$

$s(2)=5-4+5$

$s(2)=6$

Therefore, the particle will travel 6 feet in first 2 seconds.

7 0

2 years ago

What does that equation equal??

sattari [20]

Answer:

y = 5.543

Step-by-step explanation:

Your y = 7(1 - 0.021)^11 is evaluated as follows:

y = 7(0.979)^11

y = 7(0.7918

y = 5.543

3 0

3 years ago

Everyday Math

aliya0001 [1]

Answer:

In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as $1.545 \times 10^{8}$ .

Step-by-step explanation:

In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.

It is required to write 154,500,000 in scientific notation.

To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.

Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.

Step 1 of 2

Obtain the scientific notation.

Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .

Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,

1.54500000

The count of the number of decimal places the point was moved is 8 .

Write as a product with a positive power of 10 .

$1.545 \times 10^{8}$

Step 2 of 2

Check the answer.

Rewrite and simplify to check our answer.

$\begin{gathered}1.545 \times 10^{8}=1.545 \times 100000000 \\=154500000\end{gathered}$

7 0

1 year ago

Is 10”3 equal to 100?

lawyer [7]

No, 10”3 is equal too 1000. 10”2 is equal too 100

6 0

3 years ago

A recatangle's length is 2 units more than twice its width.It's area is 40 square units.The equation w(2w+2)=40 can be used to f

sattari [20]

The answer is four because you solve simplify the equation given and W could equal 4 or -5, and since the width can not be a negative number it has to be 4.

6 0

3 years ago