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erma4kov [3.2K]
2 years ago
10

Pls help with BOTH questions and make sure to show how you set up the problems!!

Mathematics
1 answer:
vivado [14]2 years ago
7 0

5.) Answer: 0.45

Step-by-step explanation:

There is 1.5 quarts of paint, and 30% is yellow.

30% of 1.5 is 0.45.

6.) Answer: 7.198

Step-by-step explanation:

$499.99 is 100%. We need to find $35.99 off of it in percentage.

499.99/35.99 = 100/x

499.99x = 3599, x = 3599/499.99

x ≈ 7.198

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Write the standard form of the line that contains a slope of 1/2 and y-intercept of 3. Include your work in your final answer. T
nata0808 [166]

Answer:

2y-x=6

Step-by-step explanation:

Standard form is ax+by=c.

Slope form : y=mx+n where m is slope n-y intercept.

First we write in slope form

y=\frac{1}{2}x+3

Now we can multiply both sides by 2.

2y=x+6

Subtract for each side x

2y-x=6

4 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
Triangle A″B″C″ is formed by a reflection over y = −3 and dilation by a scale factor of 2 from the origin. Which equation shows
TiliK225 [7]

Answer:

The correct answer is C if the answers are the same as the picture attached.

 

6 0
3 years ago
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When would you want to use the median over the mean for describing the measure of center for a data set?
zheka24 [161]
Hello!

Sometimes when there are outliers in a data set, for example 1, 20,25,26,30, one is the outlier and when you find the mean it will not represent the data in the most accurate way. This is when you use the median to represent the part of the data set that has the information that is close together.

I hope this helps!
8 0
3 years ago
Find the slope and the y-intercept of the graph of the linear equation y=5/4x-7. The slope is ?, and the y-intercept is ?.
babunello [35]

Answer:

Not Linear.

Step-by-step explanation:

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2 years ago
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