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3 years ago

9

A table shaped like a solid cube needs to painted. All six faces of the table must be painted. The edge length of the table is 1

.2 m. What is the total surface area that will be painted?
A)7.2
B)1.728
C)8.64
D)5.76

1 answer:

Dvinal [7]3 years ago

3 0

C. 8.64m^2 because one face of the cube has a surface area of 1.44m^2 (1.2*1.2) and a cube has 6 sides (6*1.44).

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The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).

statuscvo [17]

Answer:

A and C

Step-by-step explanation:

so the final g(x) would be y=2^x+5

A because of the +5

C because there are no parenthesis and therefor cant be a horizontal shift

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3 years ago

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What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

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3 years ago

There are four quarters in a dollar. How many quarters are there in eleven dollars?

Elan Coil [88]

Answer:

44

Step-by-step explanation:

There are 4 quarters in a dollar.

"How many quarters are there in eleven (11) dollars?"

4 x 11 = 44

There are 44 quarters in eleven dollars.

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1 year ago

Read 2 more answers

Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are sh

marusya05 [52]

Question;

1) The shaded plants set has greater variability because more data is clustered around the median.

2) The sets are equally variable because the ranges of the data sets are equal.

3) The full sun plants set has greater variability because the IQR for full sun plants is greater.

Answer:

The correct option is;

3) The full sun plants set has greater variability because the IQR for full sun plants is greater

Step-by-step explanation:

To answer the question, we present the dot plot as follows;

Heights of Shaded plants (inches)

0 4 3 2 0 0 1

0 1.5 2 2.5 3 3.5 4 4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 2

2nd quartile (Median) = (10+1)/2 th term = 2.5

3rd quartile = 3×(10+1)/4 th term = 3

Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1

Where:

Q₁ = 1st quartile

Q₃ = 3rd quartile

Heights of Full Sun plants

0 1 0 2 0 4 3

1.5 2 2.5 3 3.5 4 4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 3

2nd quartile (Median) = (10+1)/2 th term = 4

3rd quartile = 3×(10+1)/4 th term = 4.5

Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5

The interquartile range, IQR, is a measure of variability

Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.

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3 years ago

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If you were applying for a job and the boss said: “We have 7 employees and the average salary is $100,000,” would you hope that

frosja888 [35]

Mode, because mode is the number that shows up most often.

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3 years ago