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3 years ago

8

Select the correct answer.

2 answers:

melisa1 [442]3 years ago

8 0

Answer:

81-87

Step-by-step explanation:

CaHeK987 [17]3 years ago

4 0

You can use a less than table meaning every time you go one number less than the previous. For example, 81-87, 88-94, etc. then you can find the frequencies.

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What is a system of equations for the following situation? There is a total of 40 questions on a test. Some questions are multip

Elden [556K]

First we define the variables:

m = multiple choice questions

s = short answer questions

Next we need to satisfy 2 conditions:

1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:

$m+s=40$

2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:

$2m+4s=100$

By satisfying the conditions provided we were able to create the 2 equations!

$m+s=40$

$2m+4s=100$

8 0

3 years ago

1<br> x 1.0 -<br> =<br> 10<br> 1 <br> -<br> 10 x 1.0

Artemon [7]

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

3 0

2 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

4 years ago

The graph of the equation below is a circle. What is the length of the radius of the circle?

storchak [24]

Answer:

17

Step-by-step explanation:

(X-4)2+(y+12)2=17^2

radius is square root of 17^2

4 0

3 years ago

The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

blagie [28]

Step-by-step explanation:

Length = L

Width = W

L=8 more than 2W

L = 8 * 2W

L = 16W

Perimeter = 96

perimeter is the lengths of all sides added together

so

2L + 2W = 96

we have

L = 16W

2L + 2W = 96

let's do substitution

put what L = into 2L + 2W = 96

so

2(16W) + 2W = 96

can you rearrange that to get w

put answer in comment

4 0

2 years ago