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crimeas [40]
2 years ago
14

WILL GIVE BRAINLIST TO BEST ANSWER

Mathematics
1 answer:
Olin [163]2 years ago
7 0

Answer:

1. No

2. Yes

3. No

4. Yes

Step-by-step explanation:

x is equal to the number of miles, so it can't be the amount in dollars.

25 is the fixed amount because it does not change in the equation.

0.35 is not the fixed amount because it changes based on x.

f(x) is the total amount because that's what the equation is equal to.

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Work out the ratio of the volume of the sphere to the volume of the cylinder
N76 [4]

so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.


we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.


\bf \textit{total surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=4\\ SA=128\pi  \end{cases}\implies 128\pi =2\pi (4)(h+4) \\\\\\ 128\pi =8\pi(h+4)\implies \cfrac{128\pi }{8\pi }=h+4\implies 16=h+4\implies \boxed{12=h}


since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.


\bf \begin{array}{|c|ll} \cline{1-1}\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\\\\ \textit{volume of a cylinder}\\\\ V=\pi r^2 h\\\\ \cline{1-1} \end{array}~\hspace{3em}\cfrac{~~\frac{4\pi 8^3}{3}~~}{\pi (4)^2(12)}\implies \cfrac{~~\frac{2048\pi }{3}~~}{192\pi } \\\\\\ \cfrac{2048\pi }{3}\cdot \cfrac{1}{192\pi }\implies \cfrac{32}{9}

8 0
3 years ago
5. If 15 men can finish a work in 16 days in how many days will 8 men can finish the same work? a. 15 b. 20 c. 30 d. 42​
Gnom [1K]

Answer:

C. 30

Step-by-step explanation:

15 men do work in 16 days

This means that 7.5 men (15/2) would do that same work in 32 days (16x2).

If the number of men increase, the amount of days decrease.

8 men would do that work in 30 days

8 men > 7.5 men

30 days < 32 days

7 0
2 years ago
Read 2 more answers
Patrick can learn 42 blessings in 6 hours. At that rate, how many blessings can he learn in 9 hours?
Vladimir [108]

divide 42 by 6 and get 7 so mulyiply 7 by 9

8 0
2 years ago
What is 6.9×10^7 written in standard form
NikAS [45]
If it isnt in standard form already it would be 69000000
7 0
3 years ago
Read 2 more answers
Josie and Rushawn ran a race. Josie finished in 329 seconds. Rushawn finished less than 60 seconds later. Which inequality
Neporo4naja [7]

Answer: r < 389

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.

Mathematically speaking:

r < 329+60

r < 389

So, the correct option is the last one.

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
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