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3 years ago

8

Drawing Conclusions Consider the expression. 6 · 60 · 6–3 Which statements are true about the expression? Check all that apply.

The 6 without an exponent is equivalent to the 6 having a 0 exponent. The sum of the exponents is 2. Multiply the exponents to simplify the expression. The expression has a value of StartFraction 1 Over 36 EndFraction. An equivalent expression is 65 · 6-7.

2 answers:

Reil [10]3 years ago

7 0

Answer:

6-3

Step-by-step explanation:

Shtirlitz [24]3 years ago

3 0

Answer:

6-3

Step-by-step explanation:

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Jenny & Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny ex

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This is the correct way to solve the problem :

You add 3 and 8 together.

you see if it equals -2 or not.

I hope this helps!

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Draw an equilateral triangle of perimeter 10 centimetres.

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Answer:

See attachment for triangle

<em></em>

Step-by-step explanation:

Given

Shape: Equilateral triangle

$Perimeter = 10cm$

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

$Perimeter = 3 * Length$

So, we have:

$10= 3 * Length$

Solve for Length

$Length = \frac{10}{3}$

$Length = 3.33$

<em>See attachment for triangle</em>

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

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3 years ago

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Brian deposited $4000 into an account with 5.4% interest, compounded monthly. Assuming that no withdrawals are made, how much wi

Yanka [14]

The future value of the amount deposited will be given by:
FV=p(1+r/100n)^nt

where:
FV=future value
p=principle
r=rate
n=terms
t=time
thus substituting our values in the formula we get:
FV=4000(1+5.4/1200)^(6×12)
FV=$5,526.57

Answer: $5,526.57

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4 years ago