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1 year ago

So far, Chris has burned 664.6 calories. He wants to burn a total of 800 calories. How many more calories must Chris burn?

Mathematics

2 answers:

Sladkaya [172]1 year ago

8 0

135.4 calories are needed to be burned

Ksivusya [100]1 year ago

6 0

Answer:

135.4

Step-by-step explanation:

800 - 664.6 = 135.4

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

The larger of two number is 15 more than three times the smaller number if the sum of the two numbers is 63 find The numbers

Aleks [24]

The two numbers are <u>12 and 51.</u>

<h3>EXPLANATION</h3>

To solve this, I did 63-15, to get 48.

I then divided this by 4, to get the first number, which is <u>12.</u>

To find the second answer, I multiplied 12 by 3, which is 36, and then added the 15 back on, to get <u>51.</u>

3 0

3 years ago

Graph y=4/7x−2 . Use the line tool and select two points on the line.

Lynna [10]

Answer:

Given equation of the line,

$y=\frac{4}{7}x-2$

If x = 0,

$y=\frac{4}{7}(0) - 2=0-2=-2$

Thus, the line intercepts y-axis at (0,-2)

If y = 0,

$0=\frac{4}{7}x-2\implies 2=\frac{4}{7}x\implies x=\frac{14}{4}=3.5$

Thus, the line intercepts x-axis at (3.5,0)

By joining these two points in the graph,

We will get the graph of the given line ( shown below )

4 0

3 years ago

One student simplified x5 + x5 to x10 . A second student simplified x5 + x5 to 2x5 . Which student is correct? Explain.

dybincka [34]

An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.

Learn more about Expression:

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5 0

1 year ago

A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon

makkiz [27]

Answer:

B. 40 meters

Step-by-step explanation:

— Estimating

The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.

The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.

Only one answer choice fits in the range 37 < d < 46.

____

— Detailed calculation

The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.

The circuit length is ...

AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters

4 0

3 years ago