Write an equation to determine the value of x. Solve for x.

Answer:

a) 4800 bacteria

b) [tex]y(t) = 300(4)^t[/tex]

c) 754 bacteria

Step-by-step explanation:

A bacteria culture starts with 300 bacteria and doubles in size every half hour.

This means that the number of bacteria after t periods of half hour is given by:

[tex]y(t) = 300*(2)^{t}[/tex]

(a) How many bacteria are there after 2 hours?

2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).

[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]

(b) How many bacteria are there after t hours?

It doubles every half hour, so each hour, it is multiplied by 4. Then

[tex]y(t) = 300(4)^t[/tex]

(c) How many bacteria are there after 40 minutes?

40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).

[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]

Answer:

22.41

Step-by-step explanation:

100%-> 166

13.5%-> 22.41

Answer:

x=21.9317121994

Step-by-step explanation:

You just look at the half triangle and use the Pythagorean Theorem.  One side of the triangle is 9 (half of 18), the other is 20, so you find the hypotenuse.

9²+20²=x²

81+400=x²

481=x²

√481=x

x=21.9317121994

Answer:

Right angle triangle

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

28/3 approximated to 9 1/3

Step-by-step explanation:

multiply the fractions and estimate it to it's alternativve form

Answer:

A

Step-by-step explanation:

because you dont have a chance

Answer:

4 miles

Step-by-step explanation:

30-18=12

12÷3=4

hope this helped :)

Answer:

The increase is $1547, he has $8047 in his account now.

Step-by-step explanation:

6500 increase 23.8% =

6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047

8047 - 6500 = 1547

Answer:

The density of the pine log is 0.2842 pounds per inch.

Step-by-step explanation:

To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:

X = 42.63 / (30 x 5)

X = 42.63 / 150

X = 0.2842

Thus, the density of the pine log is 0.2842 pounds per inch.

Answer:

yes

Step-by-step explanation:

Answer:

Top picture: 1/3

middle picture: 1

bottom picture: 1/2

Step-by-step explanation:

rise over run

Answer:

Emily's inequality x < 6 is correct because the number of hours is less than or equal to.

Emily's number line is incorrect The endpoint is filled in and the number line is greater than the endpoint.

Step-by-step explanation:

Emily's Model:

                                       x < 6

<----|----|----|----|----|----⊕----|----|----|----|----|----|----|----|---->

     1    2   3    4   5    6   7   8   9   10  11   12  13  14

What Emily's model should look like to make the number line true:

                                       x < 6

<----|----|----|----|----|----О----|----|----|----|----|----|----|----|---->

     1    2   3   4    5    6     7     8   9   10  11  12  13  14

Answer:

it equals 17 tenths

Step-by-step explanation:

Answer:

the answer will be 0.7 for sure

Step-by-step explanation:

for the steps

the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9

so when you calculate (add) both

0.8+0.9

gives

0.7

Answer:

90°

Step-by-step explanation:

Answer:

The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

Step-by-step explanation:

We have the standard deviation for the sample. So the T-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

The given parameters are:

The margin of error is calculated using:

[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]

The quantile at 95% confidence interval is 2.262

So, the equation becomes

[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Read more about margin of error at:

https://brainly.com/question/14396648

Answer: ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Answer:

113335800

Step-by-step explanation:

solve it step by step

10 x 5/2 is 25

25 x 4533432= 113335800

Answer:

113335800

Step-by-step explanation:

10x5=50

2x4533432=9066864

9066864+50=113335800

Answer:

c

Step-by-stepc explanation:

Ok so do 9 times itself 5 times so basically its this:

9*9*9*9*9

Next do the same but 3 times:

9*9*9

Exponents are not this:

9*3

But this:

9*9*9

Your answer:

59049/729

Another way to say it:

59049 over 729

There is your answer hope this helps

Answer:

9^2 (9 to the power of 2)

Step-by-step explanation:

Ok, this is how you find exponents:

Well, exponents are really just abbreviated multiplication, so to find the numerical value of 9^5 and 9^3, you need to multiply 9 by itself 5 times and 3 times, then divide.

9*9*9*9*9= 59049

9*9*9= 729

Then you divide: 59049/729= 81.

But the question asks to rewrite the answer using a single positive exponent, so now we simplify 81 into an exponent.

The square root of 81= 9

9*9=81

81 as an exponent= 9^2 (or 9 multiplied 2 times)

Another simple trick for solving exponents is to subtract the exponents:

9^5-9^3= 9^2 (5-3=2)

I hope this answer was helpful!

this question is incomplete, the complete question is:

1. is this model effective

2. what is the correlation coefficient for this data.

3. for a student with a bmi of 25, what is the predicted number of hours under the influence.

Step-by-step explanation:

1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model

1. we get the correlation coefficient by

[tex]+-\sqrt{r^{2} }[/tex]

the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.

[tex]-\sqrt{r^{2} }[/tex]

= -√0.134

= -0.366

therefore the correlation coefficient is -0.366

2. to get the number of hours under the influence with a bmi of 25

the equation is

49.2-1.15bmi

= 49.2-1.15(25)

= 49.2-28.75

= 20.45

Answer:

520.83 k g  of seed

Step-by-step explanation:

Answer:

A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?

Step-by-step explanation:

Answer: y=2.608x^2-115.264x+1568.064

Step-by-step explanation:

Answer:

a. 36ft

b. 20 inches

Step-by-step explanation:

Answer:

(2/5)*b+1 = -11 // + 11

(2/5)*b+1+11 = 0

2/5*b+12 = 0 // - 12

2/5*b = -12 // : 2/5

b = -12/2/5

b = -30

b = -30

Step-by-step explanation:

hope this helped :)

Step-by-step explanation: First: Multiply 2/5 by 2. 5x2=10. 10 then turns into o a whole number +1=11.

10+1=11