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3 years ago

4(x + 1) > 0 find the inequalties and graph the solutions

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

( − 1 , ∞ ) interval notion

Step-by-step explanation:

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

3 years ago

Pls pls pls help me I will give brainlist pls

Lena [83]

Answer:

These are the answers according to serials.

6 0

3 years ago

Determine whether the cost for ordering multiple items that will be delivered is sometimes, always or never proportional. Explai

Tanzania [10]

It could sometimes be proportional. The reasoning here is that if all the items have different prices it won't be, however if the items you are ordering all have the same price they will be!

5 0

4 years ago

Forty six times y is no more than 276

Step2247 [10]

Answer:

y ≤ 6

Step-by-step explanation:

<u>Step 1: Convert words into an expression</u>

Forty six times y is no more than 276

46 * y ≤ 276

<u>Step 2: Solve for y</u>

46 * y / 46 ≤ 276 / 46

y ≤ 6

Answer: y ≤ 6

4 0

3 years ago

Read 2 more answers

ANSWER TO BE NAMED BRAINLIEST, GET A THANK YOU , BE FRIEND REQUESTED ,

Dominik [7]

1500 i did the test

4 0

3 years ago