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2 years ago

This year, the winner of the New York Marathon ran the 8 kilometer event in 24 minutes. What is the runner’s unit rate?

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

1/3km per minute

Would be the answer

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Kayden is buying bagels for a family gathering. Each bagel costs $1.50. Answer the questions below regarding the relationship be

Anna11 [10]

Answer:

y= $1.50x

Step-by-step explanation:

Each bagel is $1.50,therefore for each family member(x) the amount increaes by the same rate

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2 years ago

There are 128 students going on a field trip to pan for gold. If they are going in vans that hold 7 students each, how many vans

Viefleur [7K]

128/7 is roughly 18.3 so you would need 19 vans. 18 of them would fit all 7 so you’d have 126 so the last van would fit 2 students meaning it won’t be full

6 0

2 years ago

8/7 x 7/8 solve this.

Helen [10]

Answer: 1

Step-by-step explanation: Because it is

8 0

2 years ago

Read 2 more answers

Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the a

lisabon 2012 [21]

Answer:

base =5 because all angles=60, so an equilateral triangle

height=4.33

Step-by-step explanation:

height^2+1/2(5)^2=5^2

height^2+6.25=25

height^2=18.75

height=4.33

8 0

2 years ago

What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

Step 1: Define

$f(x) = \frac{1}{\sqrt{800-2x} }$

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

$u = 800-2x\\du = -2dx$

Step 3: Integrate

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

2 years ago