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emmasim [6.3K]
3 years ago
5

Write 9,540,000 in expanded form using exponents to show powers of 10

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Step-by-step explanation:

Given  :  9,540,000

To find : Write 9,540,000 in expanded form using exponents to show powers of 10.

Solution : We have given 9,540,000

Here 9 is at million place 9000000

5 is at hundred thousand place = 500,000.

4 is at tens thousand place = 40,000

We expanded it as

9, 000,000 + 500,000+40,000.

In term of power of 10.

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Therefore,

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

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1.The sample is biased because it does not represent the population.

2.The question is biased toward a Yes response.

4 0
3 years ago
Identify the domain and range of each graph
vova2212 [387]

Answer:

Step-by-step explanation:

You didn't mark your graph but I'm assuming the point is (1,2)

You notice how the function stops at the point? x and y can not be above that point because there is no line above it.

The domain of the function means what can x possibly be.

The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.

The range of the function means what can y possibly be.

The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.

3 0
3 years ago
The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i
Fiesta28 [93]

Answer: 110 square inches.

Step-by-step explanation:

The volume of a rectangular box would be:

V=length*width*height

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

width=\frac{V}{length*height}

Substituting the data:

width=\frac{330}{11*3} =10in

This width is also the width of the top of the box, so the area of the top would be:

A=length*width\\A=11*10\\A=110in^{2}

5 0
3 years ago
Please help me out with this please
ki77a [65]

Answer:

P = 9 is the max value

Step-by-step explanation:

Sketch

2x + 4y = 10

with x- intercept = (5, 0) and y- intercept (0, 2.5)

x + 9y = 12

with x- intercept = (12, 0) and y- intercept = (0, \frac{4}{3} )

Solve

2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)

The region corresponding to the solution of the system of constraints

Has vertices at (0, \frac{4}{3}), (0, 0) , (5, 0) and (3, 1)

Now evaluate the objective function at each vertex.

(0, 0) can be excluded as it will not give a maximum

(5, 0) → P = 5 + 0 = 5

(0, \frac{4}{3}) → 0 + 8 = 8

(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value

Thus the maximum value is 9 when x = 3 and y = 1

7 0
3 years ago
What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3
liubo4ka [24]

<u>Answer:</u>

3/5

<u>Step-by-step explanation:</u>

We are to find the similarity ratio of a cube with volume  729 m^3 to a cube with volume 3375 m^3.

We know the formula for the ratio of two cubes:

\frac{V_1}{V_2} =k^3

where k is the similarity ratio of the two cubes.

Substituting the given values in the formula to find k:

k^3 = \frac {729} {3375}

k^3 = \frac {27} {125}

k^3 = (\frac {27} {125})^3

k=\frac{3}{5}

Therefore, the similarity ratio of the two cubes is 3/5.


8 0
3 years ago
Read 2 more answers
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