Dr. Sherman is studying a bacterial colony with a population of 55,000 bacteria. The colony is growing 15% per hour. How many bacteria will the colony contain in 5 hours?If necessary, round your answer to the nearest whole number.

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

The true statement about the transformation is that the second trapezoid is a dilation of the first trapezoid with a scale factor of 2.

The given transformation involves two trapezoids with identical angle measures but different side lengths. Let's analyze the two trapezoids and determine the statement that is true about the transformation.

First Trapezoid:

Side lengths: 4, 2, 6, 2

Second Trapezoid:

Side lengths: 8, 4, 12, 4

To determine the relationship between the side lengths of the two trapezoids, we can compare the corresponding sides.

Comparing the corresponding sides:

4 / 8 = 2 / 4 = 6 / 12 = 2 / 4

We can observe that the corresponding sides of the two trapezoids have the same ratio. This indicates that the side lengths of the second trapezoid are twice the lengths of the corresponding sides of the first trapezoid. Therefore, the statement that is true about the transformation is:

The second trapezoid is a dilation of the first trapezoid with a scale factor of 2.

A dilation is a type of transformation that produces an image that is the same shape as the original figure but a different size. In this case, the second trapezoid is obtained by scaling up the first trapezoid by a factor of 2 in all directions.

This transformation preserves the shape and angle measures of the trapezoid but changes its size. The corresponding sides of the second trapezoid are twice as long as the corresponding sides of the first trapezoid.

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The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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Answer:

ok so they test 7 components so the probity of getting a bad one for each is 0.2 so we just multiply this 7 times

0.2*0.2*0.2*0.2*0.2*0.2*0.2=0.0000128

Hope This Helps!!!

The required probability will be 0.0000128 that the first defect is found in the seventh component tested.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a company ships computer components in boxes that contain 50 items.

Assume that the probability of a defective computer component is 0.2.

As per the given condition, the required solution would be as:

They test seven components, and the probability of obtaining a defective one for each is 0.2, so we just multiply this by seven.

⇒ 0.2×0.2×0.2×0.2×0.2×0.2×0.2

⇒ 0.0000128

Thus, the required probability will be 0.0000128 that the first defect is found in the seventh component tested.

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Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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$0.7

Given sentence:

Writing as an equation:

\(\implies 2.4 \ \text{pounds} = \$1.68\)

To obtain the cost per pound of peas, divide 2.4 both sides. This will convert the value on the L.H.S to 1 pound. The value obtained on the R.H.S will be the the cost (answer).

\(\implies \dfrac{2.4 \ \text{pounds}}{2.4} = \$\dfrac{1.68}{2.4}\)

\(\implies 1 \ \text{pounds}}= \$\dfrac{1.68}{2.4}\)

\(\implies 1 \ \text{pound} = \$0.7\)

John should receive about 7200 milligrams of the drug.The unit conversion given is,1 lb =0.45 kg.

The weight of matter is found as the product of the mass and the gravitational acceleration.

Unit conversion;

1 lb =0.45 kg.

Dosage of a drug =  200 mg / kilogram

John weighs  = 80 lb

1 lb =0.45 kg.

80 lb = 36 kg

According to the weight the drug should he receive is;

Dosage of a drug =  200 mg / kilogram  × 36

Dosage of a drug = 7200 milli gram

Hence, John should receive about 7200 milligrams of the drug.

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Answer:

vertical line u welcome

Answer:

Horizontal Line

Step-by-step explanation:

To answer that question we need to use THE RULE OF THREE, this rule will help us solving linear relation problems.

Solution is:

The hour hand will turn (1/36)×π

The Table

Step      minute hand                hour hand

0-5         (1/6)×π                            (1/72)×π

  10        (2/6)×π                           (1/36)×π

  15        (3/6)×π   = π/2                (1/24)×π

  20       (4/6)×π   = (2/3)×π          (1/18)×π

  25       (5/6)×π                           (5/72)×π

  30       (6/6)×π   = π                   (1/12)×π

  35        (7/6)×π                          (7/72)×π

  40        (8/6)×π                          (8/72)×π

  45        (9/6)×π  = (3/2)×π         (3/24)×π

  50        ( 10/6)×π                       ( 10/72)×π

  55        (11/6)×π                          (11/72)×π

  60         (12/6)×π  = 2×π            (12/72)×π    = π/6

If   2×π  angle for a minute hand turn is equal to 1 hour, then

(2/6) angle for a minute hand turn is equal to  "x" turn in the hour hand

So by Rule of Three, we proceed

2×π         ( Of minute hand)   ⇒    (1/6)×π   (of hour hand)

(2/6)× π   ( Of minute hand)   ⇒        x

Solving for x

2×π × x   = (2/6)× π × (1/6)×π

2× x  =  (2/36)×π

x = (1/36)×π

Now to build the table in 5 minutes steps:

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Answer:

Step-by-step explanation:

I assume you mean to write a polynomial function. I don't know how righting works.

The simplest one I can think of is

y = 3x⁷

The algebraic expressions can be written as

The given expression is,

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

\(\left \{ {{x+y=5} \atop {x-2y=2}} \right.\)

Here we have 2 equations in one system.

System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.

We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.

To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)

\(\left \{ {{y=-x+5} \atop {x-2y=2}} \right.\)

Now we substitute y = -x+5 in x-2y = 2

\(x-2(-x+5)=2\\\)

Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |

\(x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12\)

We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)

\(x=4\)

But we are not done yet. We have to find the y-value. After all they are two variables equations.

If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.

So I'll be substituting in x + y = 5 instead.

Substitute x = 4 in x + y = 5

\(4+y=5\\y=5-4\\y=1\)

Thus, we get both x and y value. Answer in either coordinate point or writing form.

Therefore, the answer is

x = 4 when y = 1 or (4,1)

Both works. Hope this helps.

Answer: \(9.38\times10^{33}\)

Step-by-step explanation:

Given: Molecules in a liter of water = \(3.35\cdot10^{25}\)

A certain river discharges about \(2.8\cdot10^8\) liter of water every second.

Molecules in river = \(3.35\cdot10^{25}\times2.8\cdot10^8\)

\(=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}\)

Hence, there are \(9.38\times10^{33}\) does the molecules in river per second.

Answer: 17 or 289

(-5,8) to (3,-7)

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (3 - -5) = 8

(y2-y1) = (-7 - 8) = -15

Square the results and sum them up:

(8)2 + (-15)2 = 64 + 225 = 289

Now Find the square root and that's your result:

Exact solution: √289 = 17

Approximate solution: 17

Answer:

4(w-2)

Step-by-step explanation:

Answer/Step-by-step explanation:

Distribute

-2(w+4)+6w

-2w -8+6w

Combine like terms

4w - 8

[RevyBreeze]

Answer:

A

Step-by-step explanat

\(f_x(0,0)\) is the partial derivative of \(f\) with respect to \(x\) evaluated at the origin. By definition of derivative, this is the limit

\(\displaystyle f_x(0,0) = \lim_{x\to0} \frac{f(x,0) - f(0,0)}{x-0} = \lim_{x\to0} \frac{f(x,0)}x\)

We have by definition of \(f\),

\(f(x,0) = \dfrac{x^5}{x^4+0^4} = \dfrac{x^5}{x^4}\)

so

\(\displaystyle f_x(0,0) = \lim_{x\to0} \frac{\frac{x^5}{x^4}}x = \lim_{x\to0} \frac{x^5}{x^5} = \lim_{x\to0} 1 = \boxed{1}\)

Answer:

6

Step-by-step explanation:

6 + 8 - 8 = 6

Answer:

20

Step-by-step explanation:

Just put 6 in the equation but instead change the minus sign to addition

6+8+6=20

6+8- 20= 6

I hope this helps

He owes her 13 but he gave her 2+3+1 so now he owes her 7

Here is a step-by-step method for solving them:

1. Substitute y = uv, and

dy/dx = u

dv/dx + v

du/dx

into

dy/dx + P(x)y = Q(x)

2. Factor the parts involving v

3. Put the v term equal to zero (this gives a differential equation in u and x which can be solved in the next step)

4. Solve using separation of variables to find u

5. Substitute u back into the equation we got at step 2

6. Solve that to find v

7. Finally, substitute u and v into y = uv to get our solution!

I'm so sorry if the explanation is confusing but I hope it's helps you to solve ^ ^

Answer:

B, E

Step-by-step explanation:

A line has a negative slope when it decreases going left to right.

As the absolute value of the slope gets larger (-2 to -3 would be 2 to 3), the graph gets steeper (-3 is steeper than -2).

Answer:

B & E

Step-by-step explanation:

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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