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3 years ago

A swimmer swam 48 kilometers in d days. What is the value of d if the swimmer swam an average of 3.2 kilometers daily?

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

D = 15!

48 kilometers divided by 3.2 kilometers = 15. To prove this, 3.2 multiplied by 15 equals 48.

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1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get

Genrish500 [490]

Answer:

Each friend will get 5/8 (excluding Rita)

Each person will get 15/28 (including Rita)

Step-by-step explanation:

You must simply divide 3 3/4 ÷ 6 (excluding Rita)

You must simply divide 3 3/4 ÷ 7 (including Rita)

6 0

3 years ago

Read 2 more answers

Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; $(x^2-4)^2y'' + (x + 2)y' + 7y = 0$

The above equation can be better expressed as:

$y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0$

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

$p(x) = \dfrac{(x+2)}{(x^2-4)^2} \$

$p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \$

$p(x) = \dfrac{1}{(x+2)(x-2)^2}$

Also;

$q(x) = \dfrac{7}{(x^2-4)^2}$

$q(x) = \dfrac{7}{(x+2)^2(x-2)^2}$

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

$\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}$

$\implies \dfrac{1}{16}$

$\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}$

$\implies \dfrac{7}{16}$

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0

3 years ago

Which expression gives the x-coordinate of the solution of the system 3x - y + z = 9?

Zolol [24]

×=y/3-z/3+3 thats the x value in this equation

8 0

3 years ago

Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)

Katen [24]

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

4 0

3 years ago

Can you solve this? It is for MATH 111

umka2103 [35]

The equation only is true for objects with negligible air resistance. A feather does not have this property.
Using the equation shown:
50 = -16t^2
t^2 = 50/16 = 3.125
t = sqrt(3.125) = 1.77 seconds

6 0

3 years ago