A moderately active 140 pound person will use 2100 calories per day to maintain that body weight, how many calories per day are necessary to maintain a moderately active 145 pound person

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer: 8/3 and -9/4

Step-by-step explanation:

1. \(\frac{2^{3}}{3} = \frac{2 * 2 * 2}{3} = \frac{8}{3}\)

2. In this problem, when raising a whole fraction to a power, you must both raise the numerator and denominator to that power.

\(-(\frac{3}{2})^2 = -(\frac{3^2}{2^2}) = -(\frac{9}{4}) = -\frac{9}{4}\)

Answer:

\(\frac{9000}{225\pi^2} =h\)

Step-by-step explanation:

\(\sf The\:formula\;to\:find \:the\: volume\:of\:a\:cone \:is,\\V = \frac{1}{3} \pi r^2 h\)

Given that,

r ⇒ radius ⇒ 15π

Volume ⇒ 3000π

Height ⇒ ?

Let us find the value of height.

\(\sf V = \frac{1}{3} \pi r^2 h\\\\3000\pi =\pi *225\pi^2h\\\\3000\pi = \frac{1}{3}* \pi *225\pi^2 *h\\\\\ \frac{3000\pi}{\pi} = \frac{\frac{1}{3}* \pi *225\pi^2}{\pi} \\\\ 3000= \frac{1}{3} *225\pi^2 *h\\\\3000= \frac{225\pi^2h}{3}\\\\3000*3=225\pi^2h\\\\9000=225\pi^2h\\\\\frac{9000}{225\pi^2} =\frac{225\pi^2h}{225\pi^2} \\\\\frac{9000}{225\pi^2} =h\)

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

Answer:

No

Step-by-step explanation:

6^2+4^2=52

7^2=49

49 is not equal to 52, so no it is not a right triangle

Answer:

Step-by-step explanation:

yes yes i can i just need you pitcher the one u put dose not work

Answer:

Step-by-step explanation:

Wat lol

Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

To solve the system of equations, let's substitute the value of x from the first equation into the second equation:

x = 4y

8 + 2y = 4y

Simplifying the equation, we get:

8 = 2y

Dividing both sides by 2:

4 = y

Now, substitute the value of y back into the first equation to find x:

x = 4y

x = 4(4)

x = 16

Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.

The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

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Answer:

The answer is E.

Step-by-step explanation:

Divide it into rectangles

The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

Follow up on the attachment, ask for clarification if you don't get it

y=8cm

Answer:

False. The product of two negative integers is a positive integer.

Answer:5

Step-by-step explanation:

5098

Answer:

I think option B is the answer

Step-by-step explanation:

parallel lines have the same gradient. Here m is -2/3 and to find the equation use the formula y - y1= m ( x - x1)

Answer:

I'm not sure but i think it is D

Answer:

area of the three quarter circle= 3/4× pi× 4×4

=37.669

area of triangle=1/2×4×4

=8

total area=37.669+8=45.669

\(\pi\)

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

B

Step-by-step explanation:

To find an inverse of \(y=\frac{-10-7y}{2}\)

Exchange x and y, get \(x=\frac{-10-7y}{2}\)

then solve y:

\(2x=-10-7y\\-7y=2x+10\\\\y=\frac{2x+10}{-7}\)

Answer is B

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

The width of the walkway around the rectangular garden should be approximately 2.061 feet wide.

What is rectangle?

A rectangle is a type of quadrilateral with four sides and four right angles (90-degree angles). It is characterized by two pairs of parallel sides of equal length.

Let's represent the width of the brick walkway by "x" feet.

Then the dimensions of the entire rectangle including the brick walkway will be \($(25+2x)$\) feet by \($(13+2x)$\) feet.

The area of the rectangle with the walkway will be:

\($$(25+2x)(13+2x)$$\)

We know that the area of the walkway itself is 287 square feet. So we can set up the following equation:

\($$(25+2x)(13+2x) - 25\cdot 13 = 287$$\)

Simplifying and solving for x, we get:

\($$4x^2 + 86x - 216 = 0$$\)

Using the quadratic formula, we get:

\($x = \frac{(-86 \pm \sqrt{86^2 - 4(4)(-216)})}{2(4)}$$\)

\($$x \approx 2.061 \text{ or } x \approx -26.311$$\)

Since the width of the walkway cannot be negative, we reject the negative solution. Therefore, the width of the walkway should be approximately 2.061 feet wide (rounded to the nearest thousandth).

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Answer:

3/7

Hope this helps!

Have a good day :).

Answer:

I am also wonder what do we explain.

Step-by-step explanation:

There is nothing here.

9514 1404 393

Answer:

  164π cm²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...

  1/2A = (1/2)(π)(d/2)² = (π/8)d²

The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.

The total area will be ...

  area of largest + area of middle-size - area of smallest

  = (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²

The area of the shape is 164π cm².

The two lines have the same slope, therefore they are parallel and there is no solution.

y=-2x+6 y=2x+2 is linear or not?

This is an example of a simple linear function. The line you see on the graph, is an expression of the function rule "y = 2x +6".

2x+y=6 ⇒(1)

2x-y=2⇒(2)

Add equ(1) and (2)

so by adding we get,

2x+y+2x-y=6+2

adding the like terms.

we get,

4x=8

x=8/4=2

put x=2 in equ(1)

we get,

2(2)+y=6

4+y=6

y=6-4=2

so the values of x and y are 2 , 2 .

Therefore, The two lines have the same slope, therefore they are parallel and there is no solution.

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Answer:

30

Step-by-step explanation:

that is the procedure above