43 inches tall. Each book 1/2 - inch thick

The population of bacteria after 8 days is 7088

Here, we have been given an equation for the rate of growth of a population of bacteria

dP/dt = k√t

where P is the population size

and t is the time in days (0 ≤ t ≤ 10)

We rewrite above equation as,

dP = k√t dt

Integrating both sides, we get,

P = (2/3) × kt^(3/2) + C

We find the value of C.

For t = 0, P = 300 as the initial size of the population is 300.

Substitute t = 0 in above equation.

300 = 0 + C

C = 300

So, the above equation becomes,

P = 300 + (2/3) × kt^(3/2)                .......(1)

Now we find the value of k.

After 1 day the population has grown to 600.

substitute t = 1, P = 600 in equation (1)

600 = 300 + (2/3) × k

(2/3)k = 300

k = 900/2

k = 450

So, the equation of population of bacteria after time t is:

P = 300 + [(2/3) × 450 × t^(3/2)]

P = 300 + 300 × t^(3/2)

P = 300 (1 + t^(3/2))

To find the population after 8 days, substitute t = 8

P = 300 (1 + 8^(3/2))

P = 7088.22

P ≈ 7088

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Answer:

Your answer is 539.93

Step-by-step explanation:

A = pi*r²

A = pi* 13²

A = pi*169

A = 539.93

Answer:

sq rt 122

Step-by-step explanation:

if the box is 9 inches length (base) then this applies

First find the base diagonal then find the furthest top to base diagonal after.

Pythagoras theorem

Base diagonal

9^2 + 5^2 = c^2

(sqrt) of 81+25 = c^2

(sqrt) of 106 = c^2 =  10.29563 inches

= 10.3 inches.

larger diagonal

We note the height is 4inches and we add this again squaring all digits on calculator

10.29563^2 + 4^2 = c^2

(sqrt) 121.999997 = c^2

= 11.045361017187261 = 11.08 = 11.1 inches

Radical form = sq rt 122

The diagonal of the straw in radical form is √122 inches.

A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

The rectangular box is in the shape of rectangular prism.

For the given situation,

Length of the rectangular box, l = 9 inches

Breadth of the rectangular box, b = 5 inches

Width of the rectangular box, w = 4 inches

The formula to find the diagonal of the rectangular prism is

[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]

⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]

⇒ [tex]d=\sqrt{81+25+16}[/tex]

⇒ [tex]d=\sqrt{122}[/tex]

Hence we can conclude that the diagonal of the straw in radical form is √122 inches.

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a linear function with y-intercept (0, 8) and slope 2.5.

On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

scuba diver is at a depth of  = -14 ft

elevation changes  = -2 ft per second.

seconds will it take her to reach a depth of 79ft is = 39.5

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Answer:

first Q . mirror

Second Q. sight and touch

Answer:    Smoothest surface: mirror

senses being used: sight and touch

hope this helps!

Step-by-step explanation:

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex]  We can pull out a pair of 2's

2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]

Answer:

Angles 6, 4, and 2 are congruent to angle 8.

Step-by-step explanation:

By the Opposite Angles Theorem, angle 6 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.

Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

Answer:

C. 2%

Step-by-step explanation:

(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%

Answer:

area = 254.5 m²

Step-by-step explanation:

area = πr² = (3.14159)(9²) = 254.46 m²

No, three 4 5 triangles are not always right triangles.

A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.

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Answer:

5%

Step-by-step explanation:

Answer:

rotation, dilation

Step-by-step explanation:

On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.

it is rotation because the P is facing the left side while L is facing upward.

it is dilation because triangle PQR shrunk into a smaller triangle.

Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

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

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

Definition:

The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.

Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:

Standard deviation of the sample mean

= population standard deviation ÷ [tex]\sqrt {sample size[/tex]

[tex]= 270 \div \sqrt{80} = 27[/tex]

So the standard deviation of the sample mean is 27.

We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.

[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59

[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22

We need to find the area under the standard normal distribution curve between Z1 and Z2.

Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.

Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

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Answer: proportional

Step-by-step explanation: I took the test and looked it up on 3 different websites like duh

Answer:

it's B

Step-by-step explanation:

becaus the exact form of m is the square root of 14

pls mark as brainliest lol

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

m is squared, so it would have to be the square root.

Answer:

X tends to a or x approaches to a .

the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144

Answer:

no it doesn’t.

Step-by-step explanation:

To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that the line passes through the points (- 6, 1) and (10, 0).

The slope of the line will be -

{m} = (0 - 1)/(10 + 6) = -1/16

{m} = -1/16

We can write the equation as -

y = - (1/16)x + c

For the point (10, 0), we can write -

0 = - (1/16) x 10 + c

0 = - (10/16) + c

c = 10/16

c = 5/8

So, we can write the equation as -

y = - (1/16)x + (5/8)

The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -

y = - (1/16)x + c

2 = - (1/16) x - 7 + c

c = 2 - 7/16

c = 25/16

y = - (1/16)x + (25/16)

Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

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The mass of the second object will be 3.5 kg.

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.

According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.

The final momentum will be calculated by the expression given below,

(m₁ + m₂ ) V=250

( 1.5 + m₂ 0 x 50 = 250

1.5 + m₂ = 5

m₂ = 5 - 1.5

m₂ = 3.5 kg

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Answer:

1. 56/5

2. -7/5

3. 12

Step-by-step explanation:

i get 11/2 is this wright answer??

Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Now, According to the question:

Solving Two Step Equations:

Two step equations are very easy to solve. It includes just one extra step as compared to one-step equations to solve. We can solve a two-step equation by isolating the variable (usually represented by an alphabet or letter) on one side of the equation and all other values on the other side. The general two steps to solve the two-step equations are:

Step 1: Addition and subtraction to isolate the variable.

Step 2: Multiplication or division to determine the value of the variable.

Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. A few examples of two step equations are:

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