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Romashka-Z-Leto [24]

3 years ago

15

Which comparisons are true? Choose all that apply. A. 7.34 > 7.304 B. 1.628 > 1.63 C. 4.05 < 4.055 D. 9.103 < 9.13 E

. 2.29 < 2.129

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

The answers are A, C, & D.

Step-by-step explanation:

A: the 34 would have an imaginary 0 behind it, so then it would become 340, which is greater than 304.

B, C, D: same logic as A

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The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in:

$-3.8=\pi(2)(13)\frac{dD}{dt}$ and solving for the rate at which the diameter is changing:

$-\frac{3.8}{26\pi}=\frac{dD}{dt}$ and divide to get

$\frac{dD}{dt}=-.459\frac{cm}{min}$ Obviously, the negative means that the diameter is decreasing.

7 0

3 years ago

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

Triss [41]

Answer:

True

Step-by-step explanation:

<u>Perimeter of Garden A</u>

P = 2(w + l)
P = 2(2x - 3 + 5(2x - 3) = 2(2x - 3 + 10x - 15) = 2(12x - 18) = 24x - 36

The statement is TRUE

3 0

3 years ago

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Of new calculators tested,8 were defective and 42 passed inspection. What ratio compares the number of defective calculators to

sesenic [268]

The number of new calculators tested was 50 . . . 8 were bad and 42 were good.

The ratio of defective ones to new ones tested is 8:50 or 4:25 or 16% .

4 0

3 years ago

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What is the least common multiple (LCM) of 15 and 45? A. 15 B. 675 C. 45 D. 90

harkovskaia [24]

Answer:

C - 45 is the LCM of 15 & 45

Step-by-step explanation:

Find the multiples:

15, 30, 45, 60

45, 90

They both have 45 in common

3 0

3 years ago

4x=12+12<br>Find the value of x

stepladder [879]

Answer:

$\sf\longmapsto \: x = 6$

Step-by-step explanation:

$\sf\longmapsto \: 4x = 24$

$\sf\longmapsto \: x = 24 \div 4$

$\sf\longmapsto \: x = \: 6$

4 0

3 years ago

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