Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Considering the graph shown, the polynomial represented is

The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.

Tracing the graph, the zeros or the x intercepts on the graph it can be traced to be:

solving the zeros

x = -5, x + 5 = 0

x = -1, x + 1 = 0

x = 1, x - 1 = 0

equating together

(x + 5)(x + 1)(x - 1) - these values are only present in option A. The effect in x = -1 will result to (x + 1)²

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The sequence of pseudorandom numbers starting with x_0=3 and generated by the linear congruential generator x_(n+1)=(4x_n+1) mod 7 is:
3, 5, 6, 3, 5, 6, 3, 5, 6, 3, ... (repeating)

The sequence of pseudorandom numbers generated using the linear congruential generator x_(n+1)=(4x_n+1) mod 7 with seed x_0=3 is:

x_0 = 3
x_1 = (4x_0+1) mod 7 = (4*3+1) mod 7 = 5
x_2 = (4x_1+1) mod 7 = (4*5+1) mod 7 = 6
x_3 = (4x_2+1) mod 7 = (4*6+1) mod 7 = 3
x_4 = (4x_3+1) mod 7 = (4*3+1) mod 7 = 5
x_5 = (4x_4+1) mod 7 = (4*5+1) mod 7 = 6
x_6 = (4x_5+1) mod 7 = (4*6+1) mod 7 = 3
x_7 = (4x_6+1) mod 7 = (4*3+1) mod 7 = 5
x_8 = (4x_7+1) mod 7 = (4*5+1) mod 7 = 6
x_9 = (4x_8+1) mod 7 = (4*6+1) mod 7 = 3
and so on...

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Answer:

4329

Step-by-step explanation:

I coan't really explain this sorry.

I hope this helps though!

Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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The dimension of the null space of a is 5.

If t(x) = ax is onto, it means that every element in the codomain of t has at least one preimage in the domain of t. In other words, for any b in R^7, there exists an x in R^12 such that ax = b. Since a has 7 rows and x has 12 columns, it follows that there are 12 unknowns and 7 equations. Therefore, the number of free variables is 12-7 = 5. The null space of a consists of all solutions to the homogeneous equation ax = 0. Since the number of free variables is 5, the dimension of the null space of a is 5.

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Perimeter = 4 × side

\( = 4 \times 4 \\ = 16in\)

The perimeter of a 4-inch square is 16 inches.

Answer:

-19

Step-by-step explanation:

Use the geometric ratio r=a2/a1

So 117/-13 = -9

-13*-9= 117

117*-9= -1053

The number of tacos that you can get if a drink cost $1.50 and each taco cost $.75 is 4.67.

5 = 1.50 + 0.75t

5 - 1.50 = 0.75t

3.50 = 0.75t

t = 3.50 / 0.75

t = 4.666666666666666

Approximately,

t = 4.67

Therefore, the number of tacos that you can get if a drink cost $1.50 and each taco cost $.75 is 4.67

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To find the area we have to calculate the radius first. Here the radius is 6m. So the area will be 36π m². Option C is the correct one.

Diameter is the straight line connecting two points on the edge of the circle, that passes through the Centre of the circle. It will be equal to two times the radius.

D = 2r

r = D/2 = 12/2 = 6m

Area of a circle can be calculated using the equation πr².

Area = π × 6² = 36π m²

So the area of the given circle with diameter will be 36π m².

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The width of the house driveway in the scale drawing is 4 inches.

Scale drawing is drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale).

Therefore, he measured a house and its lot and made a scale drawing.

The scale of the drawing was 1 inch : 5 feet.

The houses driveway is 20 feet wide in real life.

Therefore,

5 feet = 1 inch

20 feet = ?

cross multiply

Therefore,

width of the driveway on the scale drawing =  20 × 1 / 5

width of the driveway on the scale drawing =  20 / 5

width of the driveway on the scale drawing =  4 inches.

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Answer:

gcf is 4

Step-by-step explanation:

Answer:

4(3+20)

Step-by-step explanation:

the 4 is the greatest common factor so i pulled it out and divided 12 and 80 to simplify

Answer:

Exact form:   -√19

Decimal form:  −4.35889894...

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

$10

Step-by-step explanation:

80.05/8 friends

=10.00625

=$10

The given statement is false, if the sample size is large enough, the skewness of the population distribution does not affect the shape of the sampling distribution for the sample mean.

When the population distribution is extremely skewed, the sampling distribution for the sample mean will be skewed when the sample size is small (less than 30). Skewness refers to the degree of asymmetry in a probability distribution. In a skewed distribution, the tail of the distribution extends either to the right or to the left, and the mean, median, and mode of the distribution are not equal.

In a small sample, the distribution of the sample mean tends to follow the shape of the population distribution, meaning that it will also be skewed if the population distribution is extremely skewed. This is because when the sample size is small, the sample mean is highly influenced by extreme values or outliers in the population, which can distort the shape of the sampling distribution.

However, as the sample size increases, the sampling distribution of the sample mean becomes more symmetric and approaches a normal distribution, regardless of the shape of the population distribution. This is known as the central limit theorem, which states that the distribution of the sample mean approaches a normal distribution as the sample size increases.

Therefore, if the sample size is large enough, the skewness of the population distribution does not affect the shape of the sampling distribution for the sample mean.

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Answer:

you would have to be still!

Step-by-step explanation:

Answer:

23.92

Step-by-step explanation:

You can round 2.99 to 3 and do 3x8 mentally then subtract 8 cents ¯\_(ツ)_/¯

Answer:

Step-by-step explanation:

. A group of 8 friends go to the movies. A bag of popcorn costs $2.99. How much will it cost to get one bag of popcorn for each friend? Explain how you can calculate this amount mentally.

Answer would be 23.92 :)

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

Step-by-step explanation:

Answer:20

Step-by-step explanation:

the slope of the line above is -2

Step-by-step explanation:

❥❥A Dog asleep in a manger filled with hay, was awakened by the Cattle, which came in tired and hungry from working in the field. ... When he saw how the Dog was acting, he seized a stick and drove him out of the stable with many a blow for his selfish behavior. Moral. Do not grudge others what you cannot enjoy yourself

Answer:

Answer: c

Step-by-step explanation:

A. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)

B. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

C. ✔

\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

D. ❎

\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)

24

8

31

17

absolute value with positive numbers are always positive if I remember correctly.

oooo and the opposite

24

-8

-31

and 17

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

\(\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |\)

Therefore, we have;

\(\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |\)

Utilizing an online determinant calculator, we have;

\(\dfrac{1}{2} \times \left | -12 \right |= 12\)

Therefore, the area of the triangle is 12 unit².

The resulting shape after the reflection is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The shape A

To reflect the shape across the line y = x, we swap the coordinates of x with y

This means that the rule of transformation is

(x, y) = (y, x)

Next, we reflect the shape across the line y = x using the above rule

The resulting shape is added as an attachment

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