A figure is part blue and part red.it is 5/8 red what part of the figure is blue

Answers

Answer 1

Answer: If $(5)/(8)$ is red, than the remaining $(3)/(8)$ would be blue. $(5)/(8)$ + $(3)/(8)$ would give you $(8)/(8)$ .

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Explain why 83×93 is not the prime factorization of 7,719í

Answers

83×93 is not the prime factorization of 7,719 because 93 is not a prime number:

93 = 3×31

Therefore the prime factorization of 7,719 is 83×3×31.

Answer:

Because it isn't a prime number

Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t

Answers

Answer:

$\displaystyle (ds)/(dt) = 12e^(3t)$

General Formulas and Concepts:

Algebra I

Functions
Function Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle (d)/(dx)[f(x) + g(x)] = (d)/(dx)[f(x)] + (d)/(dx)[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle (d)/(dx)[f(g(x))] =f'(g(x)) \cdot g'(x)$

eˣ Derivative: $\displaystyle (d)/(dx) [e^u]=e^u \cdot u'$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle s = 4e^(3t) - e^(-2.5)$

Step 2: Differentiate

eˣ Derivative: $\displaystyle (ds)/(dt) = 4e^(3t) \cdot (d)/(dt)[3t] - (d)/(dt)[e^(-2.5)]$
Basic Power Rule: $\displaystyle (ds)/(dt) = 4e^(3t) \cdot 3t^(1 - 1) - 0$
Simplify: $\displaystyle (ds)/(dt) = 12e^(3t)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

A pool measuring 8 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1008 square meters, what is the width of the path?

Answers

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients: 1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check: 25*-8 = -200 25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x

x² +17x - 200 = 0

x² + 25x - 8x - 200 = 0

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0 or x - 8 = 0

x = 0 -25 x = 0 + 8

x = -25 x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

the rule for a pattern is add 6. the first term is 5. which of the following numbers is a term in the pattern?

Answers

the pattern would be 5,11,17,23,29,35,41,47 etc. you didn't list the numbers so i can't help with an exact answer, but this is the first several. another way to find this is to divide a number by 6. if the remainder is a 5, then it is part of the pattern

the number that is a term in the pattern I think is 11

The area of a square is 1 square foot. What is the length of each side of the square?a. 1 ft.
b. 2 ft.
c. 3 ft.
d. 4 ft.

Answers

3 because there are four sides so 3+3+3+3=12

mario went on a hike with his friends. they hiked 2,24 miles an hour for 8 hour. how many miles did they hike in all

Answers

Do 224x8
This would equal 1792.
He traveled 1792 miles.
I hope you understand. :-)

17,92 because 2,24 times 8 equals 17,92

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