Solve the inequality
x/2 > 1.52

Answer:

In 59 days, the number of bacteria reaches 1000.

Step-by-step explanation:

 Given the data in the question;

by placing 100 spores of the bacteria at the start of the project,

p(0) = 100

dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000

dp/dt = 0.05p( 1 - p/200 )

2000dp / p( 2000 - p ) = 0.05dt

[1 / p + 1 / 200-p ]dp = 0.05 dt

Now, we integrate

∫[1 / p + 1 / 200-p ]dp = ∫ 0.05 dt

ln p - ln [2000 - p ]  = 0.05 + c'

ln[ p / 2000 - p ] = 0.05 + c'

p / 2000 - p  = [tex]e^{0.05t + c'[/tex]

p / 2000 - p  = k[tex]e^{0.05t[/tex]

Now, since p(0) = 100, we substitute

100 / (2000 - 100)  = k[tex]e^{0.05(0)[/tex]

100 / 1900  = k × [tex]e^{0[/tex]

100 / 1900  = k × 1

k = 1 / 19

Therefore,

p / 2000 - p  = k[tex]e^{0.05t[/tex]

p / 2000 - p  = (1/19)[tex]e^{0.05t[/tex]

when p( t ) = 1000, then t will be;

1000 / (2000 - 1000)  = (1/19)[tex]e^{0.05t[/tex]

1000 / 1000  = (1/19)[tex]e^{0.05t[/tex]

1  = (1/19 ) × [tex]e^{0.05t[/tex]

1/(1/19 )  = [tex]e^{0.05t[/tex]

(1 × 19)/1 = [tex]e^{0.05t[/tex]

[tex]e^{0.05t[/tex] = 19

0.05t = ln( 19 )

0.05t = 2.9444

t = 2.9444 / 0.05

t = 58.888 ≈ 59 days

Therefore, In 59 days, the number of bacteria reaches 1000.

Answer:

Horizontal: if y is equal to 0, then there is no vertical movement

Answer:

Sand

Step-by-step explanation:

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

Answer:

[tex]x = 4.8[/tex]

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{3.6}{x} [/tex]

[tex]3x = 14.4[/tex]

[tex]x = 4.8[/tex]

Answer: D

Step-by-step explanation:

Answer:

GIME SOME POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 4.5

Answer:

a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.

Step-by-step explanation:

since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis

So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642

Answer:

the diameter is 7

Answer: 12.56 cm

Step-by-step explanation:

Pi looks like this π or 3.14 or 22/7

A formula for circumference is: C = 2π r

The radius or r listed in the diagram is 2cm.

1) Plug r into the equation...

C = 2π 2

2) Simplify the equation

C = 4π

3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)

However both answers come out to be 12.56

The measure of m<3 is 105 degrees

Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.

From the given diagram;

m<X + m<Y = m<3

Given that m<X= 55 degrees and m<Y = 50 degrees

m<3 = 55 + 50

m<3 = 105 degrees

Hence the measure of m<3 is 105 degrees

Learn more here: https://brainly.com/question/24193697

Answer:

Angle Y:

Angle X:

Hope this helps!

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Answer:

D, No trend or association

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

----------------

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

Answer:

4.5 answer is on the picture below. :) Thank you!

Step-by-step explanation:

Proof...

Answer:

alternate exterior angles

Answer:

their is 50 ways.......

The possible combination, 252 ways you can pack shirts for a trip.

Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.

Formula for combination is

n!/(r! x (n-r)!),

where n is a number of shirts and r is the shirts selected.

In combination,

order doesn’t matter, as opposed to permutation.

According to the question,

n = 10 and r = 5

Then substituting the above values to the formula,

that means,

10! / ( 5! x 5!)

= 10x9x8x7x6 / ( 5x4x3x2x1)

= 252

Therefore, You can pack 5 shirts in 252 ways.

To learn more about the permutation;

https://brainly.com/question/1216161

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Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

[tex]\mu = 225 - 240 = -15[/tex]

Sean's standard deviation is of 25, Evan's of 15. So

[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-15)}{29.15}[/tex]

[tex]Z = 0.51[/tex]

[tex]Z = 0.51[/tex] has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Answer:

3

Step-by-step explanation:

45 players / 15 teams = 3 people per team

Answer:

jnnm mnn m

Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

There is 12 months in a year so you need to multiply 12 by 110 which is 1320

Your answer is: 1320 saved in one year

Hope this helped :)

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Answer:

do you go gca too

Step-by-step explanation:

The best way to sample the population so that she can conduct a survey is to conduct a random sampling

From the question, we have the population to be:

Population = 5000

In order to conduct a survey, Tasha must carry out a random sampling by using the following steps

The above is called a random sampling technique

Read more about random sampling at:

https://brainly.com/question/14470673

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Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4