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Nana76 [90]
3 years ago
9

David tracks his calories burned while training for a meet. The number of calories he burns is expressed by the function c(t) =

704t, where t is the number of hours spent swimming. To burn more calories, David wears flippers while he swims. The number of calories he burns while wearing flippers is expressed by the function b(c) = 1.3c, where c is the number of calories burned while swimming without flippers. Which of the following composite functions expresses the calories, as a function of time, David burns while swimming with flippers? b[c(t)] = 915.2t b[c(t)] = 705.3t c[b(t)] = 915.2t c[b(t)] = 705.3t
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer: b[c(t)] = 915.2t

Step-by-step explanation:

Given : David tracks his calories burned while training for a meet. The number of calories he burns is expressed by the function

c(t) = 704t , where t is the number of hours spent swimming.

The number of calories he burns while wearing flippers is expressed by the function b(c) = 1.3c, where c is the number of calories burned while swimming without flippers.

The composite functions expresses the calories, as a function of time, David burns while swimming with flippers will be :-

b(c(t))=1.3(704t)=915.2t

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ch4aika [34]

Answer:

Y= 9xi/4 - 9i - 11

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7 0
3 years ago
Identify a pattern and sequence and fine the next number in the pattern. 54,52,26,24,_,_,_
Bogdan [553]

Answer:

54, 52, 26, 24, 22, -6, -4

Step-by-step explanation:


6 0
4 years ago
Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2).
ivolga24 [154]

The coordinates of point P are (-3 , -6)

Step-by-step explanation:

If point (x , y) partitions line AB where A = (x_{1},y_{1}) and B = (x_{2},y_{2})

at a ratio m_{1}:m_{2} from A then:

1. x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}

2. y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ P partitions AB in the ratio 3 : 4

∴ m_{1}:m_{2} = 3 : 4

∵ A = (-9 , -9) and B = (5 , -2)

- Substitute the coordinates of points A and B in the rules above

∵ x=\frac{(-9)(4)+(5)(3)}{3+4}

∴ x=\frac{-36+15}{7}

∴ x=\frac{-21}{7}

∴ x = -3

The x-coordinate of P is -3

∵ y=\frac{(-9)(4)+(-2)(3)}{3+4}

∴ y=\frac{-36+(-6)}{7}

∴ y=\frac{-42}{7}

∴ y = -6

The y-coordinate of P is -6

The coordinates of point P are (-3 , -6)

Learn more:

You can learn more about the mid-point of a segment in brainly.com/question/5223123

#LearnwithBrainly

5 0
4 years ago
Which is greater 25 percent or 12.5 percent
Vesnalui [34]

Answer is 25 percent

8 0
4 years ago
Which expression is equivalent to n2 + 26n + 88 for all values of n?
Y_Kistochka [10]

Answer:

(n + 4)(n+ 22)

Step-by-step explanation:

One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.

Step #1: Multiply the first terms

(n + 4)(n + 22) ----> n x n = n²

Step #2: Multiply the inside terms

(n + 4)(n + 22) -----> 4 x n = 4n

Step #3: Multiply the outside terms

(n + 4)(n + 22) -----> n x 22 = 22n

Step #4: Multiply the last terms

(n + 4)(n + 22) -----> 4 x 22 = 88

Step #5: Write the new expanded equation and simplify

(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88

3 0
3 years ago
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