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3 years ago

Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

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Find all solutions by factoring. c? + 13c + 40 = 0

Karolina [17]

Answer: c = -5, -8

Step-by-step explanation:

c^2 +13c+40=0

(c+5)(c+8)=40

c = -5, -8

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3 years ago

A¹×a³×a-9 please help me I don't understand this and it's stressful

bonufazy [111]

Answer:

a^-27

Step-by-step explanation:

the numbers up top have to be multiplied.

1*3*-9=-27

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3 years ago

Jim is hiking 4 1/2 mile trail.He has already hiked 2 5/8 miles.How much further does he have to hike?

musickatia [10]

Answer:

1 7/8

Step-by-step explanation:

2 5/8

+1 7/8= 4 1/2

7=3+4
5+3=8
2 5/8 + 3/8= 3
3 + 1= 4
4 + 4/8= 4 4/8
4 4/8 = 4 1/2

3 0

3 years ago

So I was wondering how to do this, 15-<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B2%7D" id="TexFormula1" title="\sqrt{x+2}"

Yuki888 [10]

Answer:

Step-by-step explanation:

The question makes sense for all values of x, but I imagine that is not exactly what you mean.

I think you mean for what values of x does the question produce a real square root?

The answer is as long as x + 2 does not drop below 0, the results will be real.

Put mathematically x ≥ -2 gives a real result. For now just don't try and take the square root of a minus number.

6 0

2 years ago

Read 2 more answers

Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

8 0

4 years ago

Read 2 more answers