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Vanyuwa [196]
3 years ago
6

Based on the graph, how many calories will Colin burn if he walks 3 mi.?

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0
300,000 calories are in 300 kilo-calories.
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WILL GIVE BRAINLIEST
galina1969 [7]

Answer:

x= 3 inches

Step-by-step explanation:

-The volume of a box is given by the formula:

V=lwh\\\\l-length\\w-width\\h-height

-We are given the dimensions h=x+2, l=2x+5 and w=4x-1.

We substitute this values in the formula and equate to the volume value.

V=lwh\\\\605=(x+2)(2x+5)(4x-1)\\\\605=8x^3+34x^2+31x-10

#We take the values to the same side and equate to zero;

8x^3+34x^2+31x-615=0\\\\\\\#Factor\\\\\\(x-3)(8x^2+58x+205)=0

#Applying the zero factor principal to obtain the different values of x:

(x-3)=0\\\\\therefore x=3\ \ \ \ \ \ ...i\\\\(8x^2+58x+205)=0

#We use the quadratic formula to solve the two other values of x:

(8x^2+58x+205)=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\frac{-58\pm\sqrt{58^2-4\times 8\times 205}}{2\times 8}\\\\x=-3.625+3.533i \ and \ x=-3.625-3.533i

The two other values are negatives. Ignore them since length cannot be a negative.

The only reasonable value of x is x=3

#We substitute in the formula to validate:

V=lwh\\\\=(x+2)(2x+5)(4x-1)\\\\=(3+2)(2*3+5)(4*3-1)\\\\=605

Hence, the value of x is 3 inches

7 0
3 years ago
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
tatuchka [14]

Answer: 6.86 ft per second

Step-by-step explanation:

Both the top and the bottom of the ladder will be moving at the same time.

Given that the base of the ladder is pulled away from the wall at a rate of 2 feet per second when its base is 7 feet from the wall. Then the time will be

Speed = distance/time

2 = 7/t

t = 7/2 = 3.5 seconds

Using pythagorean theorem to get the length L of the wall

L^2 = 25^2 - 7^2

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 ft/s

3 0
3 years ago
Read 2 more answers
What is the midpoint of the line segment with endpoints (-1,-6) and (-3,4)
aliina [53]

Answer:

The final answer for the midpoint:

m = (-2, -1)

Step-by-step explanation:

-Use the midpoint formula in order to find the midpoint:

m = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

-Next, use both points ( -1, -6) and (-3, 4) for the equation:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

-Then, you solve:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

m = (\frac{-4}{2}, \frac{-2} {2})

m = (-2,-1)

So, the final answer for the midpoint is m = (-2, -1).

8 0
4 years ago
One of the functions given model is a bacteria population of triples every hour the other function models the total amount of wa
fiasKO [112]

I have the same question and I need help with it too

5 0
3 years ago
Urgent!!!!! please help ​
Anastaziya [24]

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

7 0
3 years ago
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