A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19

The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.

Answer:

His daughter received $ 1,271,760.

Step-by-step explanation:

Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:

10,072,540 - 4,836,080 - 3,964,790 = X

5,236,460 - 3,964,790 = X

1,271,670 = X

Thus, his daughter received $ 1,271,760.

Answer:

The y-intercept is -4.

Explanation:

The y-intercept is between -2 and -4 so its actually on -3

Answer:

The y-intercept is -4.  This one is false.

Step-by-step explanation:

The slope is positive.

The point (8, 2) is on the line.

The y-intercept is NOT -4. The y-intercept is -3.

The line does not go through the second quadrant.

Answer:

Step-by-step explanation:

C

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]

If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

Answer:

8 17/18

Step-by-step explanation:

I used an online calculator (calculator soup)

Answer:

8 17/18

Step-by-step explanation:

7/3 * 23/6

7*23

3*6

161/18

8 17/18

Given:

The measure of an angle is 50 degrees.

To find:

The complement of the given angle.

Solution:

We know that the sum of an angle and its complement is 90 degrees.

Let x be the complement angle of 50 degrees.

[tex]x+50^\circ=90^\circ[/tex]

[tex]x=90^\circ-50^\circ[/tex]

[tex]x=40^\circ[/tex]

Therefore, the measure of complement of the given angle is 40 degrees.

9514 1404 393

Answer:

  5 (all of them)

Step-by-step explanation:

The sums of digits are ...

  6+4+8 = 18

  8+4+6 = 18

  1+2+6 = 9

  6+1+2 = 9

  5+7+6 = 18

When the sum of digits is a multiple of 9, the number is divisible by 3 and 9.

When the number is also even (as all of these are), it is also divisible by 6.

All 5 of these numbers are divisible by 3, 6, and 9.

Answer:

All 5 of them.

Step-by-step explanation:

Answer:

We reject the H0

Step-by-step explanation:

Given that:

Sample size, n = 200

x, = 332 ; s = 108

H0 : μ = 0

H1: μ > 0

The test statistic :

(x - μ) / s/sqrt(n)

332 / 108/sqrt(200)

332 / 7.6367532

Zstatistic = 43.47

Pvalue from Zstatistic at α = 0.05

P value is bet small < 0.00001

Pvalue < α

We reject the null

Conclusion: Amount charged on credit card under the no - fee plan increases

Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.

Importance of adaptation-

Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

Learn more about adaptation here;

https://brainly.com/question/1213023

#SPJ2

Answer: 3/28

Step-by-step explanation:

Here we go, whenever you see the word "of" this mean to multiply

2/7 x 3/8 = 3/28

 Answer: 3/28 .

I hope this help...

Answer:

(0,16) I am pretty sure

Step-by-step explanation:

Answer:

I would probably choose warlock if my computer could handle it ;w;

Answer 83

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 /  [tex]\frac{2}{3}[/tex] = 6

Answer:

[tex]Mean = 48.6364[/tex]

[tex]s^2 = 331.8545[/tex] -- Sample Variance

[tex]s = 18.2169[/tex] --- Sample Standard Deviation

Step-by-step explanation:

Given

[tex]n = 11[/tex]

[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]

Solving (a): The sample mean

[tex]Mean = \frac{\sum x}{n}[/tex]

So:

[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]

[tex]Mean = \frac{535}{11}[/tex]

[tex]Mean = 48.6364[/tex]

Solving (b): Sample variance (s^2)

This is calculated as:

[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]

Where:

[tex]\bar x = 48.6364[/tex]

So:

[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]

[tex]s^2 = \frac{3318.54545456}{10}[/tex]

[tex]s^2 = 331.8545[/tex]

Solving (c): Sample Standard Deviation (s)

This is calculated as:

[tex]s = \sqrt {s^2[/tex]

[tex]s = \sqrt{331.8545[/tex]

[tex]s = 18.2169[/tex]

Answer:

AAA

Step-by-step explanation:

The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.

Answer:

None of the above...

Step-by-step explanation:

The first one is a cubic function and the v-shaped one is an absolute value function.

Answer:

It is the 2nd graph. The graph that passes through x=3 and y=3.

Step-by-step explanation:

Answer:

Check pdf

Step-by-step explanation:

Answer:

The sample size necessary is 237.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Find the sample size necessary to estimate that mean with a 15-minute sampling error.

A sample size of n is necessary.

n is found when [tex]M = 15[/tex]

We have that [tex]\sigma = 112.2[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 2.056*112.2[/tex]

[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]

[tex]n = 236.5[/tex]

Rounding up,

The sample size necessary is 237.

Answer:

B

Step-by-step explanation:

B

$5,136; approximately 24 months.

I got 100% on Edg.

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Central angle subtended by the arc

r = radius of the circle

From the picture attached,

Central angle subtended by arc AD = 360° - (180° + 66.4°)

                                                            = 113.6°

Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]

                             = [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]

                             = 15.655 cm

                             ≈ 15.7 cm

Length of arc AD = 15.7 cm

Answer:

12.4

Step-by-step explanation:

Just did it.

Answer:

can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.

Step-by-step explanation:

Answer:

(-8x)(20y)-16

Step-by-step explanation:

(-4x10y-8)2

distribute the two to all terms inside the parentheses

(-8x)(20y)-16

you cannot simplify this further

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

Josh won all the prizes for the contest

Step-by-step explanation:

Answer: 10%

Step-by-step explanation:

1/10 is equal to .10 or 10%

Answer:

10%

Step-by-step explanation:

Divide 1 by 10 and you get 0.10 :)

Answer:

-73 is the simplified answer

Step-by-step explanation:

Answer:

x = 20

y = 12

Step-by-step explanation:

opposite angles are congruent so we can set up this equation:

5x + 29 = 7x - 11

29 = 2x - 11

40 = 2x

x = 20

5(20) + 29 = 129

7(20) - 11 = 129

3y + 15 = 5y - 9

15 = 2y - 9

24 = 2y

y = 12

3(12) + 15 = 51

5(12) - 9 = 51

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Answer:

k=7.3

Step-by-step explanation:

6k=44

k= 44÷6

k=7.3