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Ugo [173]
3 years ago
14

After doing aerobics, Mia walked on the treadmill. The table shows the total number of calories she burned from exercising after

walking for different lengths of time. Mia graphed this information.
What is the slope of the line that represents this situation?

Number of minutes walking 5 12 20 35
Calories burned 15 36 60 105
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0
From the table of values you can see the each y value is 3 times the x value.
This would be the slope of the line of graphed.
The equation is y = 3x
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Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript one-fourth x?
Nat2105 [25]
<h3>Answer: Choice C</h3>

RootIndex 12 StartRoot 8 EndRoot Superscript x

12th root of 8^x = (12th root of 8)^x

\sqrt[12]{8^{x}} = \left(\sqrt[12]{8}\right)^{x}

=========================================

Explanation:

The general rule is

\sqrt[n]{x} = x^{1/n}

so any nth root is the same as having a fractional exponent 1/n.

Using that rule we can say the cube root of 8 is equivalent to 8^(1/3)

\sqrt[3]{8} = 8^{1/3}

-----

Raising this to the power of (1/4)x will have us multiply the exponents of 1/3 and (1/4)x like so

(1/3)*(1/4)x = (1/12)x

In other words,

\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/3)*(1/4)x}

\left(8^{1/3}\right)^{(1/4)x} = 8^{(1/12)x}

-----

From here, we rewrite the fractional exponent 1/12 as a 12th root. which leads us to this

8^{(1/12)x} = \sqrt[12]{8^{x}}

8^{(1/12)x} = \left(\sqrt[12]{8}\right)^{x}

4 0
2 years ago
Read 2 more answers
2(x 4) = 35 − (7 − 4x)
Rus_ich [418]
2(x4) = 35 - (7-4x)
                        +4x
2(x8)= 28
/2         /2
8x = 14

6 0
3 years ago
Trigonometry
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

7 0
3 years ago
Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal
brilliants [131]

Answer:

After buying the meal and the computer game, Kristian has 43.33% of his money left.

Step-by-step explanation:

Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:

72 = 100

8.40 + 32.40 = X

72 = 100

40.80 = X

40.80 x 100/72 = X

4,080 / 72 = X

56.66 = X

100 - 56.66 = 43,333

Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.

7 0
3 years ago
Is d y / d x the exact same as f ' ( x ) ? If yes, which is more commonly used?
Murrr4er [49]
It's dependent on the context. A book may ask you to find the f'(x) of a function and you may have to use a u sub in your problem which requires you to find the dy/dx of what you substitute. So in this case both would be used.
7 0
2 years ago
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