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3 years ago

In a mathematics class, half of the students scored 52 on an achievement test. With the exception

Mathematics

1 answer:

natali 33 [55]3 years ago

7 0

Answer:

C. The mean and the median are the same.

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Please Help!!!!!!

Goryan [66]

A) (8-8/6-2)=0
B) (3-4/7-3)= -1/4
C) (9-3/6-2)=3/2
D) (5-3/7-7)= 1/0 (not identified)

3 0

3 years ago

Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h

dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

y/√(1 + y²) = x^5 + C

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0

3 years ago

What is the slope of the line with the following equation?<br><br> <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

At a local clothing store you can purchase 3 t shirts for 18.00$ at that rate how much would it cost to purchase 7 t shirts

Ksju [112]

3t shirts cost $18

1 shirt will cost 18/3t = 6/t

7t shirts will then cost = (6/t)*7t = 42

7t shirts will cost $42.00

3 0

3 years ago

Nine times a number decreased by four is at least twenty three

Andru [333]

The answer is any whole number larger than 3

6 0

3 years ago