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I am Lyosha [343]
3 years ago
15

Apply the distributive property to create an equivalent expression.−9⋅(5j+k)=

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

-45j + -9k

Step-by-step explanation:

-9 times 5j = -45j

-9 times k = -9k

-45j + -9k

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A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the
xxMikexx [17]

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

V = \pi r^2h + \frac{1}{3} \pi rH

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3

The volume of the silo is 5127079.21 cubic feet.

3 0
3 years ago
How can you determine which of two lines will be steeper from
Romashka-Z-Leto [24]
Well on a table of data, if the y coordinates increase a lot over a short x distance then it will be steep.

In an equation, you would put it into y = mx + b form and whatever your m is will be your slope. If m is large, it will be steep.
8 0
3 years ago
Find the simplified ratio of 300ml in 5 minutes
andriy [413]
300ml in 5 min can be written as a fraction 300ml/5min or 300/5 ml per min. 300/5 is the same as 60/1

So 300ml / 5min = 60ml/1min
6 0
3 years ago
How many times will 1/4 go into 2 2/4
Scilla [17]
Well, there are 4 of 1/4 in each whole number. there is two whole numbers, so that makes 8 of 1/4's. Now we add the two in the fraction and we come out with 10. 1/4 can go into 2 2/4 10 times.
7 0
3 years ago
Read 2 more answers
On a graphing calculator, you can use the function normalcdf(lower bound, upper bound, μ, σ) to find the area under a normal cur
larisa86 [58]

Answer:

99.87% of cans have less than 362 grams of lemonade mix

Step-by-step explanation:

Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;

We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;

Pr(X<362)

We calculate the z-score by standardizing the random variable X;

Pr(X<362) = Pr(Z

This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;

Pr(Z<3) = 0.9987

Therefore, 99.87% of cans have less than 362 grams of lemonade mix

4 0
4 years ago
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