Suppose the function f(t) = e^t describes the growth of a colony of bacteria, where t is hours. find the number of bacteria present at 5 hours
a) 59.598
b) 148.413
c) 8.155
d) 79. 432

As per the given variables, the rate at which they earn credits is 8 credits per semester

Total number of credits = 19

Total number of semesters = 6

Credits after six semesters = 67

Calculating the change in credits -

Change in credits -

Credits after six semesters - Inital credits

= 67  - 19

= 48 credits

Total time = 6 semesters

Calculating the change in credits over the six semesters and dividing by the total time to get the pace at which the college student is acquiring credits.

Therefore, the rate at which the college student is earning credits is:

Rate = Change in credits / Total time

= 48 credits / 6 semesters

= 8 credits per semester

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Answer:

No I don't. The editor will receive 360 undelivered mail.

Step-by-step explanation:

He sends 12000 emails, 3/100 of them come back undelivered.

Multiply to find the answer:

12000 x 3/100 = 36000/100 = 360

Simple as that; the editor will find that 360 of his sent emails will come back undelivered.

The percentage increase in the number of water bottles from February to April is 19%.

A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.

Therefore,

February: 4100 water bottles

March: 7% more water bottles than in February

April: 500 more water bottles than in march

Therefore,

Number of water bottles in march = 4100 + 7% of 4100

Number of water bottles in march =4100 + 7 / 100 × 4100

Number of water bottles in march = 4100 + 287

Number of water bottles in march =  4387

Hence,

Number of water bottles manufactured in April = 4387 + 500 = 4887

Therefore,

percentage increase from February to April = 4887 - 4100 / 4100 × 100

percentage increase from February to April = 787 / 4100 × 100

percentage increase from February to April = 78700 / 4100

percentage increase from February to April = 19.1951219512

percentage increase from February to April = 19%

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Answer:

[tex]v = \pi {r}^{2} h[/tex]

[tex] {r}^{2} = \frac{v}{\pi \times h} [/tex]

[tex]r = \sqrt{ \frac{v}{\pi \times h} } [/tex]

D is the correct answer.

The biggest length stick that will fit is 16.49 units long.

The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.

The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.

So, the diagonal length of the tank, using Pythagorean theorem, is

= √(12² + 8² + 8²)

= √(144 + 64 + 64)

= √272

≈ 16.49.

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Answer: 48

Step-by-step explanation:

180-132=48

Answer:

48

Step-by-step explanation:

angle = 132

supplementary angle = 180

measure of supplementary angle = 180 - 132 = 48

thus the measure of the supplement is 48

hope you got your answer.

The meauser of center is the most appropriate answer for table two is the mean.

Mean, in terms of math, is the total added values of all the data in a set divided by the number of data in the set.

Each mean serves to summarize a given group of data, often to better understand the overall value of a given data set. Pythagorean means consist of arithmetic mean, geometric mean, and harmonic mean

It is the mean because all of the data points are fairly close and there aren't any outliers (extreme values).

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Answer:

2.5 cm

Step-by-step explanation:

The small arrow is 1/2 the side of the large arrow.  1/2 of 5 is 2.5 or 2 1/2.

Helping in the name of Jesus.

Answer:

[tex]c. 1/5[/tex]

Step-by-step explanation:

You have the points (-5, 0) and (0, 1).

To find the slope, b, of the original line, you can use the formula [tex](y_{1}-y_2) /(x_1-x_2)[/tex].

[tex]b = (0-1)/(-5-0) = -1/-5 = 1/5.[/tex]

The slope of a line parallel to the original line would have the same slope as the original line, therefore [tex]1/5.[/tex]

_________________________________

_________________________________

Answer:

$6,840

Step-by-step explanation:

[tex][D]= \begin{bmatrix} 5&0&-8\\ 10&-2&7\\ -3&-9&6 \end{bmatrix}\implies 2[D] \stackrel{ \textit{scalar multiplication} }{\begin{bmatrix} (2)5&(2)0&(2)-8\\ (2)10&(2)-2&(2)7\\ (2)-3&(2)-9&(2)6 \end{bmatrix}} \\\\\\ ~\hspace{12.5em} 2[D]= \begin{bmatrix} 10&0&-16\\ 20&-4&14\\ -6&-18&12 \end{bmatrix}[/tex]

The critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

What is Critical value ?

In statistics, a critical value is a threshold value that is used to determine whether to reject or fail to reject the null hypothesis in a statistical test. It is typically based on the significance level of the test, which is the probability of rejecting the null hypothesis when it is actually true.

To find the critical value for a 90% confidence interval with n = 5, we need to use a t-distribution with (n-1) degrees of freedom.

Using a t-distribution table or a calculator, we can find the critical value with a 90% confidence level and 4 degrees of freedom (n-1 = 5-1 = 4) to be approximately 2.132.

Therefore, the critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

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Squaring a number implies increasing it by itself. In case the number being squared is negative, the result will continuously be positive. Increasing a number by 2 implies multiplying it, which is not linked to squaring a number.

To square a number, one must raise it to the power of two, that is different from carrying out its multiplication with itself. One way of squaring a value is shown by taking the number 3 and raising it to the power of 2.

3² = 3 x 3 = 9

By the same way , if we raise -2 to the power of 2, the result will be a positive value of four.

Raising numbers to the power of two is a frequent mathematical procedure use in numerous academic fields such as algebra, geometry, physics, and statistics.

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Answer:

10868

Step-by-step explanation:

11x26=286

286x38=10868

Answer:  (5, -1)

Step-by-step explanation:

format:  f(x)

in  f(5)=-1       x=5

also sometimes f(x) is called y so  y= -1

put into ordered pair format

(5, -1)

Answer: 25%

Step-by-step explanation:

51/204=0.25

0.25 x 100 = 25

Answer:25%

Step-by-step explanation:

a) An exponential equation in the form of y = a(b)ˣ that can model the amount of money (future value) in Patrick's account, y, x years after starting the account is y = 894(1.02)ˣ.

b) If Patrick makes no other deposits or withdrawals, after 5 years or approximately 6 years his account will have more than $1,000 (future value).

An exponential equation is a mathematical function, written in the form of y = a(b)ˣ, where y is the ending value, a is the initial value, b is the growth or decay rate, and x is the exponent or number of years.

Thus, there are two types of exponential functions: exponential growth and exponential decay functions.

y = 894(1.02)^6

1,000 ≤ 894(1.02)ˣ

I/Y (Interest per year) = 2%

Present Value = $894

FV (Future Value) ≥ $-1,000

Results:

x = 5.658

x ≈ 6 years

= $1,006.79

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Patrick spent last summer working in construction with his dad, and he put $894 of his earnings into a new high-yield savings account. The money in this savings account will increase by 2% each year.

a) Write an exponential equation in the form of y = a(b)ˣ that can model the amount of money in Patrick's account, y, x years after starting the account. Use whole numbers, decimals, or simplified fractions for the values of a and b.

y =

b) If Patrick makes no other deposits or withdrawals, after how many years will his account have more than $1,000?

Answer:

The correct answer is (C) 310.

Multiplying the given expression by 36 gives:

(32)(38) + (35)(35) - (33)(37)

= 1216 + 1225 - 1221

= 1220

So the equivalent expression is 1220.

Option (C) 310 is not equivalent to 1220.

Answer:

Step-by-step explanation:

We can calculate the t-statistic and the p-value as follows:

If we assume that the null hypothesis is true, then the t-statistic will follow a t-distribution with 19 degrees of freedom. We can compare the calculated t-statistic with the critical t-value at the 0.05 level of significance using a t-distribution table or statistical software.

If the calculated t-statistic is greater than the critical t-value, then we can reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the population mean reading rate is greater than 96 words per minute.

The p-value is the probability of obtaining a t-statistic as extreme or more extreme than the calculated t-statistic, assuming the null hypothesis is true. We can use the t-distribution table or statistical software to find the corresponding p-value.

If the p-value is less than the significance level of 0.05, then we can reject the null hypothesis at the 0.05 level of significance and conclude that the probability of obtaining a random sample of 20 second grade students with a mean reading rate of more than 96 words per minute is statistically significant.

Answer:

A) angle 1 is congruent (equal size) to angle 4.

Step-by-step explanation:

when 2 lines intersect, then the intersection angles are the same on both sides of any of the lines. they are only left-right mirrored.

Answer:

A) angle 1 is congruent (equal size) to angle 4.

Step-by-step explanation:

The mapping of the function f(x) given as 3x⁴ - 4x³ + 3x² - 5x - 3 is define at;

-3, f(-3) = 390 and at 4, f(4) = 537

A function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers

By substitution:

For x = -3;

f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3

f(-3) = 3(81) + 4(27) + 3(9) + 15 - 3

f(-3) = 243 + 108 + 27 + 15 - 3

f(-3) = 390

For x = 4;

f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3

f(4) = 3(256) - 4(64) + 3(16) - 20 - 3

f(4) = 768 - 256 + 48 - 20 - 3

f(4) = 537

Therefore, the mapping of the function f(x) = 3x⁴ - 4x³ + 3x² - 5x - 3 for the values of x: -3 and 4 we have the results 390 and 537 respectively.

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Answer: the answer to be smart is to learn

Step-by-step explanation:

if you learn then you can understand the u are not smart

Answer:

The item when it is costs $50 and there is a 55% item, as the cost would be $22.50

Step-by-step explanation:

Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.

[tex]N(P)=O-(P*O)[/tex], where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)

First store:  Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):

[tex]N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24[/tex]

Second store:  For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):

[tex]N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50[/tex]

Thus, the second store has the better price

The adjusting entry that Tanning Company will make for Allowance for Doubtful Account will be:

Data:

Total credit sales = $1,000,000

Accounts receivable balance = $310,000

Estimated uncollectible receivables = $21,700

The adjusted balance for allowance for doubtful accounts will be:

= Credit balance + Estimated uncollectible receivables

= $2,200 + $21,700

= $23,900

So, the Company will make an adjusting entry by debiting Bad Debt Expense for $21,500 and crediting Allowance for Doubtful Accounts for $21,500 which will increase the balance of the allowance for doubtful accounts to $23,900.

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Answer:

  B. CPCTC

  D.  opposite sides are congruent

Step-by-step explanation:

You want to know the necessary claims for proving opposite angles are congruent in a parallelogram.

Given parallelogram ABCD and diagonal AC, you can prove opposite angles congruent in this way:

  AB≅CD and BC≅DA . . . . . opposite sides are congruent

  AC≅CA . . . . . . . . . . . . . . reflexive property of congruence

  ∆ABC≅∆CDA . . . . . . . . . . . SSS congruence

  ∠B ≅ ∠D . . . . . . . . . . . . Corresponding parts of congruent triangles

When doing the proof, the necessary claims are ...

  B. Corresponding parts of congruent triangles are congruent

  D. Opposite sides are congruent.

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Answer:

it is 0.94 miles

Step-by-step explanation:

that is because to make a mile you need 63,360 but since you have 60,000 it is not technically a mile

If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.

Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.

The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.

In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.

Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.

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