The accompanying table shows the number of bacteria present in a
certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacteria. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 14 hours, to the nearest whole number.
Hours (x) Bacteria (y)
0 1353
1 1584
2 2037
3 2248
4 2630
5 3146

Answer:

S)  9/25 = 36/100

W) 1/18 = 10/180

D) 7/20 = 35/100

N) 2/15 = 4/30

T) 9/10 = 36/40

F) 7/12 = 84/144

M) 19/20 = 95/100

Step-by-step explanation:

S) 9/25 = 36/100   We times 4 top and bottom

W) 1/18 = 10/180     We times 10 top and bottom

D) 7/20 = 35/100   We times 5 top and bottom

N) 2/15 = 4/30        We times 2 top and bottom

T) 9/10 = 36/40      We time 4 top and bottom

F) 7/12 = 84/144      We time 12 top and bottom

M) 19/20 = 95/100  We time 5 top and bottom

Answer:

The height of the plant now is 7 3/4 inches, as it has grown by 1 1/4 inches from the previous measurement of 6 1/2 inches.

Step-by-step explanation of how to calculate the height of the plant:

1. Measure the height of the plant last week, and record it (it is 6 1/2 inches).

2. Measure the height of the plant this week, and record it (it is 7 3/4 inches).

3. Subtract the height measured last week from the height measured this week (7 3/4 - 6 1/2 = 1 1/4 inches). This result indicates the amount the plant has grown.

4. Add the result from Step 3 (1 1/4 inches) to the height that was recorded last week (6 1/2 inches).

5. The final result is the current height of the plant, which is 7 3/4 inches.

Answer:

47% for rolling a blue and 33% for rolling a red

Step-by-step explanation:

Answer:

the answer is 11.1 minute

Step-by-step explanation:

divide 35600 by 3200

The term 4c defines the constant term 4 is multiplied by c.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

Suppose we have an equation 2x + 3, In algebra, we don't write 2×x + 3.

We simply write 2x + 3.

Similarly, 4c mean 4 is multiplied by c, 4×c, Where 4 is the coefficient and c is the variable.

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Answer:

3,293 yards are more than a mile

Step-by-step explanation:

1 mile is 1,760 yards. Thereby, we know that 3,293 is more than 1,760.

Answer: 3,293 yards is more than a mile since a mile is 1,760 yards

Step-by-step explanation:

2 miles are 3,520 yards which can further prove that 1 mile is way less the 3,293 yards

Hope this helped

The length of the rectangular prism is 20.35

The diagonal of the base is calculated using Pythagoras theorem. This is a side that will use to find the length of the box.

The diagonal A - B given as 2 feet = 24 inches is the hypotenuse while solving for the length of the prism

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 9² + 9²

x² = 81 + 81

x = √162

x = 12.728

The length of the rectangular prism is solved as follows

let y be the required distance

24² = y² + 12.728²

y² = 24² - 12.728²

y = √413.998

y = 20.35 in

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The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Circumference of the circle with the given diameter is 69.08 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given,

Diameter of the circle = 22 inches

Radius of the circle = Diameter / 2 = 22 / 2 = 11 inches

Circumference of a circle = 2πr, where r is the radius of the circle and the value of π is 3.14.

Circumference = 2 × 3.14 × 11 = 69.08 inches

Hence 69.08 inches is the circumference of the circle.

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The both answers are- How much does it take to fill the cylinder? and How much is needed to completely fill the cylinder?

The cylindrical, which is routinely a two half solid, is one of the most basic curved geometric patterns. In simple geometry, it is known as a pyramid with a ring as its basis. The term "cyl" is also used to refer to a continuously curved surface in a broad range of contemporary areas of mathematics and geometry. A "cylinder" is a four structure made up of sloping surfaces with circle tops and bases. A canister is a muti solid figure with three grounds that have two identical circles connected at its height, which is defined by the separation of the structures from the centre. Examples of canisters are chilled drinks cans and toilet tissue wicks.

given

All four statements stats about cylinders .

How much does it take to cover the cylinder? and How much does it take to fill the cylinder? are both not showing volume or capacity of cylinder.

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To convert milliliters (ml) to ounces (oz), multiply the number of milliliters by 0.033814. The conversion factor of 1 ml = 0.033814 oz is used to convert any given volume in milliliters to ounces.

In order to convert milliliters (ml) to ounces (oz), we use the conversion factor of 1 ml = 0.033814 oz. This means that one milliliter is equivalent to 0.033814 ounces. To convert any given volume in milliliters to ounces, we multiply that value by the conversion factor of 0.033814.

The result should be rounded off to an appropriate number of decimal places based on the level of precision required for the particular application.

For example, if we want to convert 500 ml to ounces, we would do:

500 ml * 0.033814 oz/ml = 16.907 oz

So, 500 milliliters is equal to 16.907 ounces.

Note that this conversion factor is exact, meaning that it has an infinite number of decimal places. However, when we round off the final result, we should choose an appropriate number of decimal places based on the level of precision that we need for the particular application.

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How to Convert ml to Ounces?

Answer: ?

Step-by-step explanation: ?

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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Answer:

If the cost price (CP) is 380 and the gain percentage is 25%, we can use the following formula to find the selling price (SP):

SP = CP + (gain percentage/100) * CP

Substituting the given values, we get:

SP = 380 + (25/100) * 380

SP = 380 + 95

SP = 475

Therefore, the selling price is 475.

Step-by-step explanation:

8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.

9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.

10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.

From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:

10 + 11 + 14 + 15 + 22 + P = 100

72 + P = 100

P = 100 - 72

P = 28%.

Then the percentage for Pinocchio or Cars is of:

28 + 11 = 39%.

The percentage for Pinocchio or Toy Story is of:

28 + 22 = 50%.

(about half).

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The value of x for the given angles will be x = 20. The correct option is A.

The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.

Given that the two opposite angles when two lines intersect each other are,

(x + 40)°

(3x)°

The value of x will be calculated as:-

x + 40 = 3x

3x - x = 40

2x = 40

x = 20

Therefore, the value of x for the given angles will be x = 20. The correct option is A.

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The sample space for flipping four coins is  {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}.

The sample space for flipping four coins can be represented as a set of all possible outcomes, where each outcome is a sequence of four coin tosses. Each coin toss can result in either heads (H) or tails (T).

The sample space, Ω, for this experiment can be expressed as:

Ω = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}

Here, for example, the outcome HHHT means that the first three coins landed heads, while the last coin landed tails.

The outcome HTHH means that the first coin landed heads, the second and third coins landed tails, and the fourth coin landed heads.

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Answer:

Step-by-step explanation: Answer c the -1 is equivalent to the -0 and -* to the third power equaled the equation mathematics of it being c

Thus, the answer c

Sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.

A sample is a set of possible outcomes from a random experiment. The subset of a space is called as event.

A bag has nine balls labeled A, B, C, D, E, F, G, H, and I.

One ball will be randomly picked, and its letter will be recorded as the outcome.

Let S be the sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I}

Number of elements in S , n(S) = 9.

Let V be the event of choosing a vowel as outcomes,

V={A,E,I}

Number of outcomes in V, n(V) = 3

Hence, sample space describing all the possible outcomes,

S = { A,,C,D,E,F,G,H,I} and outcomes for choosing vowel ,V={A,E,I}.

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Option a is correct- The length of MC is 16mm.

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have,

perimeter = 3 * side

3 * side = 96

side = 32mm

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation,

height = (side * root(3))/2

height = 16root(3)

Using the Pythagoras' theorem in the triangle ACM, we have,

side^2 = MC^2 +height ^2

1024 = MC^2 + 768

MC^2 = 256

MC = 16mm

so, The length of MC is 16mm.

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Answer:

b

Step-by-step explanation:

Use the Avogadro constant of 6.02 x 10^23

The requried expressions that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
We can write two expressions that when added together have a sum of -4n + 6 as follows,

-3n - 2 + 7n + 8

Here, the first expression is -3n - 2, and the second expression is 7n + 8.

When we add these two expressions together, we get:

(-3n) + (7n) + (-2) + 8 = 4n + 6

So the sum of the two expressions is -4n + 6.

Again,
-5n - 1 + 9n + 7

Here, the first expression is -5n - 1, and the second expression is 9n + 7.

When we add these two expressions together, we get:

(-5n) + (9n) + (-1) + 7 = 4n + 6

So the sum of the two expressions is -4n + 6.

Thus, the requried expression that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

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Answer: (0,6), (1,5), (2,4), (3,3)

Step-by-step explanation:

I don't think I can add a picture but I can give you points and you can just draw a line through all of them

(0,6), (1,5), (2,4), (3,3)

If you want to, you can use a graphing calculator and just put the equation in. If you don't have an actual graphing calculator, I recommend using desmos online graphing calculator because it works really well.

A rigid motion maps each part of a figure to an Rotation.

What is rotation ?

In physics, rotation refers to the movement of an object around an axis or a fixed point. When an object rotates, every point on the object moves in a circle around the axis of rotation, and the object typically completes one full rotation or revolution after it has moved a full 360 degrees around the axis.

The study of rotation in physics is important in many fields, including mechanics, electromagnetism, and quantum mechanics. Rotational motion is characterized by several key parameters, including the angle of rotation, the angular velocity (how fast the object is rotating), and the angular acceleration (how quickly the angular velocity is changing).

In addition, rotational motion is subject to a number of physical laws and principles, such as Newton's laws of motion, which describe the relationship between the forces acting on a rotating object and its resulting motion. Other principles, such as the conservation of angular momentum, relate to the conservation of the rotational energy of a system as it undergoes rotational motion.

Therefore, a rigid motion maps each part of a figure to an Rotation.

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To represent the data, the display used is histogram.

A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. Histograms visualize quantitative data or numerical data, whereas bar charts display categorical variables.

Given,

Data of 24 students eating vegetables in the frequency table.

The data is quantitative.

Histograms are visual displays of frequencies using columns plotted on a graph. The Y-axis (vertical axis) generally represents the frequency count, while the X-axis (horizontal axis) generally represents the variable being measured.

Hence, Histogram will be used to represent the data.

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Applying the centroid theorem, the length of QK in the triangle is: 10.

The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.

Therefore, given that:

Q is the centroid of ΔJKL

PQ = 5

Thus, PQ = 1/3(PK) [according to the centroid theorem]

Substitute:

5 = 1/3(PK)

15 = PK

PK = 15

QK = PK - PQ

QK = 15 - 5

QK = 10 units

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Answer:

622.03

Step-by-step explanation:

The principal investment was $[tex]1,200.[/tex] Answer: $[tex]1,200.[/tex]

We know that after 5 years, the amount of money earned on the savings account is $ [tex]1,422[/tex], and the equation that relates the amount A to the principal P and the time t is:

[tex]A = P(1 + 0.037t)[/tex]

We can use this equation to find the value of P:

A = $[tex]1,422[/tex]

t = 5 years

[tex]0.037[/tex] is the interest rate per year

[tex]A = P(1 + 0.037t)[/tex]

$[tex]1,422 = P(1 + 0.037\Ttimes 5)[/tex]

$[tex]1,422 = P(1.185)[/tex]

To solve for P, we divide both sides of the equation by 1.185:

[tex]P = $1,200[/tex]

Therefore, the principal investment was $1,200. Answer: $1,200.

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Answer:

4 feet

Step-by-step explanation:

We can use the formula for the area of a rectangle to find the width of the coffee table:

Area = Length x Width

Substituting the given values, we get:

14 = 3.5 x Width

To solve for the width, we can divide both sides by 3.5:

Width = 14 / 3.5

Simplifying the right-hand side, we get:

Width = 4

Therefore, the width of the top of the coffee table is 4 feet.