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3 years ago

11

Select other ways to express 10^{4}

{4} " align="absmiddle" class="latex-formula"> Mark all that apply.
A: 10x4
B: 10+4
C: 1,000
D: 10,000
E: 10+10+10+10
F: 10x10x10x10³

2 answers:

Sedbober [7]3 years ago

4 0

I think it might be D and F maybe

dangina [55]3 years ago

3 0

F because it just is<span />

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Solve 2(b − 3) ≥ 3(3 − b) and describe the graph of the solution. Show all your work.

solong [7]

Answer:

$\large\boxed{b\geq3\to b\in[3,\ \infty)}$

Step-by-step explanation:

$2(b-3)\geq3(3-b)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(2)(b)+(2)(-3)\geq(3)(3)+(3)(-b)\\\\2b-6\geq9-3b\qquad\text{add 6 to both sides}\\\\2b-6+6\geq9+6-3b\\\\2b\geq15-3b\qquad\text{add}\ 3b\ \text{to both sides}\\\\2b+3b\geq15-3b+3b\\\\5b\geq15\qquad\text{divide both sides by 5}\\\\\dfrac{5b}{5}\geq\dfrac{15}{5}\\\\b\geq3$

$,\ \geq-\text{line to the right}\\-\text{o}\text{pen circle}\\\leq,\ \geq-\text{closed circle}$

4 0

3 years ago

Toretto and O’Conner graphed two different quadratic functions in vertex form. Toretto graphed f(x)=(x+3)^2+1 and O’Conner graph

Len [333]

Yo sup??

By observing the graph we can say that minimum value of Toretto graph occurs at x=-3

whereas the minimum value of OConner graph occurs at x=3 .

In the given figure the minimum value is at x=3

therefore OConner is correct because the vertex is (3,1)

Hope this helps

5 0

3 years ago

1.John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in. One day, his sink

Vlad [161]

Answer:

$\large\boxed{\large\boxed{85cups}}$

Explanation:

<u>1. Volume of a cup</u>

The shape of the cup is a cylinder. The volume of a cylinder is:

$\text{Volume of a cylinder}=\pi \times (radius)^2\times height$

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

$\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3$

<u>2. Volume of the sink:</u>

The volume of the sink is 1072in³ (note the units is in³ and not in).

<u>3. Divide the volume of the sink by the volume of the cup.</u>

This gives the number of cups that contain a volume equal to the volume of the sink:

$\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups$

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3 years ago

Gcf of 18m x 18m and 7m

IrinaVladis [17]

The Gcf of 18m x 18m and 7m is 1

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jekas [21]

Answer:

Step-by-step explanation:

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3 years ago