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2 years ago

If the equatorial diameter of the sun is 1.39 million km how many kilometers is the sun's radius

1 answer:

6 0

Since the radius of an object is half of the diameter, your equation and answer would be: 1.39 million divided by 2 = 695,000 km.

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Can the vertex also be a solution of a graphed parabola?

stiv31 [10]

One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

4 0

2 years ago

A battery manufacturer randomly tests 500 batteries and finds that 3 are defective.

Alexxx [7]

(3/500)*(12,000) = 72 batteries . . . answer is B) 72

8 0

2 years ago

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The weekly cost of food for a family of four using the moderate cost plan in the United States increased at a relatively constan

Mila [183]

Answer:

Part a) The weekly cost of food for a family of four in 1997 was $153.09

Part b) $y=4.83x+153.09$

Part c) $\$215.88$

Step-by-step explanation:

Part a. What was the weekly cost of food for a family of four in 1997?

Let

y ---->the weekly cost of food for a family of four

x ---> the number of years since 1997

we know that

The linear equation in point slope form is equal to

$y-y1=m(x-x1)$

In this problem we have a linear function between variable x and variable y

In 2004, the weekly cost of food for a family of four was $186.90

In the year 2004

The value of x is equal to

x=2004-1997=7 years

we have

$point\ (7,186.90)$

$m=\$4.83\ per\ year$

substitute

$y-186.90=4.83(x-7)$ ----> equation in point slope form

Remember that the year 1997 is when the value of x is equal to zero

For x=0

$y-186.90=4.83(0-7)$

solve for y

$y=4.83(-7)+186.90$

$y=153.09$ -----> y-intercept or initial value

therefore

The weekly cost of food for a family of four in 1997 was $153.09

Part b. Write an equation that gives the weekly cost of food for a family of four as a function of the number of years since 1997

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept or initial value

we have

$m=\$4.83\ per\ year$

$b=\$153.09$ ----> initial value in 1997

substitute

$y=4.83x+153.09$

Part c. Find the weekly cost of food for a family of four in 2010 assuming the same rate of increase

In the year 2010

x=2010-1997=13 years

substitute in the linear equation

$y=4.83(13)+153.09=215.88$

5 0

3 years ago

Which numbers are 9 units -5 on this number line

aleksley [76]

Answer:

4 and -14

Step-by-step explanation: because you subtract 5 from 9 and get 4 and add 9 to -5

8 0

2 years ago

The sculpture consists of five identical prisms. JD says the surface area of the sculpture is 4 times the surface area of one pr

Genrish500 [490]

Answer: The answer is (a) JD should also subtract the areas of eight hidden surfaces.

Step-by-step explanation: Given that the sculpture consists of five identical prisms and he says the surface area of the sculpture is 4 times the surface area of one prism. We are to choose which one of the given four options are correct.

Since JD is calculating the surface area of the sculpture, consisting of five prisms. So, there will be eight hidden surfaces of the five prisms which will not be in count. Hence, he must subtract the areas of those eight hidden surfaces.

Please see the attached figure for more understanding, where prism A has 1 hidden surface, B has 2 hidden surfaces, C has 2 hidden surfaces, D has 2 hidden surfaces and E has 1 hidden surface.

Thus, the correct option is (a).

6 0

3 years ago

Read 2 more answers