A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.

Need the answer ASAP

Answer:

Answer is A

Step-by-step explanation:

when u multiply 2789 x 3.875 u will get 10807.375 so now u have to figure out which answer give a greater amount of number than that, when you try the first answer which is 2800 x 4 u will get 11200 which is greater than the original equation

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

Option B

Step-by-step explanation:

Refer the the picture for working

Answer:

the condition of having paid work.

Step-by-step explanation:

Answer:

The definition of employment is the number or percentage of people who have jobs. An example of employment is the percentage of citizens with paying jobs listed state by state. ... Employment is defined as what you do as a paying job. An example of employment is working for a coffee shop.

To find the local and absolute maximum and minimum points of the function f(x) = (3/5)x^5 - 9x^3 + 2 on the closed interval [-4,5], we need to follow these steps:

a) Find all critical numbers (x-coordinates only):

To find the critical numbers, we need to identify where the derivative of the function is zero or undefined. Let's find the derivative of f(x) first:

f'(x) = 3x^4 - 27x^2

Now, set the derivative equal to zero and solve for x:

3x^4 - 27x^2 = 0

Factoring out a common factor of 3x^2, we get:

3x^2(x^2 - 9) = 0

This equation is satisfied when either 3x^2 = 0 or x^2 - 9 = 0.

For 3x^2 = 0, we have x = 0.

For x^2 - 9 = 0, we have x = -3 and x = 3.

Therefore, the critical numbers (x-coordinates) are 0, -3, and 3.

b) Find the intervals on which the graph is increasing (mark critical numbers):

To determine the intervals of increasing, we need to analyze the sign of the derivative on each side of the critical numbers. We create a sign chart for f'(x):

Interval (-∞, -3): Choose a test point x < -3, e.g., x = -4

f'(-4) = 3(-4)^4 - 27(-4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Interval (-3, 0): Choose a test point x between -3 and 0, e.g., x = -1

f'(-1) = 3(-1)^4 - 27(-1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (0, 3): Choose a test point x between 0 and 3, e.g., x = 1

f'(1) = 3(1)^4 - 27(1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (3, ∞): Choose a test point x > 3, e.g., x = 4

f'(4) = 3(4)^4 - 27(4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Therefore, the graph is increasing on the intervals (-∞, -3) and (3, ∞).

c) Find the intervals on which the graph is decreasing (mark critical numbers):

From the analysis above, we can see that the graph is decreasing on the intervals (-3, 0) and (0, 3).

d) Find all local maximum points:

To find the local maximum points, we need to examine the points where the graph changes from increasing to decreasing. By observing the sign changes in the derivative, we can identify potential local maximum points.

From our analysis in part b, we can see that the graph changes from increasing to decreasing at x = -3 and x = 0. Therefore, these are the local maximum points.

e) Find all local minimum points:

To find the local minimum points, we need to examine the points where the graph changes from decreasing to increasing. By observing the sign changes in the derivative, we can identify potential local minimum points.

From our analysis in part c, we can see that the graph changes.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer: 1 slice for each person

Step-by-step explanation: It depends on how many slices you cut it into. Suppose we cut it into 6 equal pieces. Since we already know that they will save half of the pizza for dinner, there will only be 3 remaining because. This means Aaron, Michael and Johnny will all get 1 equal slice.

The expanded form of \((x - 2y)^7\) using Pascal's Triangle is \(x^7 - 14x^6y + 84x^5y^2 - 280x^4y^3 + 560x^3y^4 - 672x^2y^5 + 448xy^6 - 128y^7.\)

Expanding (x - 2y)^7 using Pascal's Triangle involves using the coefficients from the seventh row of the triangle, as well as the powers of x and y.

Pascal's Triangle is a triangular arrangement of numbers where each number is the sum of the two numbers directly above it.

Here's the expanded form:

\((x - 2y)^7 = 1x^7 \times (-2y)^0 \times 1\)

\(+ 7x^6 \times (-2y)^1 \times 1\)

\(+ 21x^5 \times (-2y)^2 \times 1\)

\(+ 35x^4 \times (-2y)^3 \times 1\)

\(+ 35x^3 \times (-2y)^4 \times 1\)

\(+ 21x^2 \times (-2y)^5 \times 1\)

\(+ 7x^1 \times (-2y)^6 \times 1\)

\(+ 1x^0 \times (-2y)^7 \times 1\)

Simplifying each term further, we have:

\((x - 2y)^7 = x^7 \times 1 \times 1\)

\(+ 7x^6 \times (-2y) \times 1\)

\(+ 21x^5 \times (-2y)^2 \times 1\)

\(+ 35x^4 \times (-2y)^3 \times 1\)

\(+ 35x^3 \times (-2y)^4 \times 1\)

\(+ 21x^2 \times (-2y)^5 \times 1\)

\(+ 7x \times (-2y)^6 \times 1\)

\(+ (-2y)^7 \times 1\)

Now, we can simplify the terms using the powers of x and y:

\((x - 2y)^7 = x^7\)

\(- 14x^6y\)

\(+ 84x^5y^2\)

\(- 280x^4y^3\)

\(+ 560x^3y^4\)

\(- 672x^2y^5\)

\(+ 448xy^6\)

\(- 128y^7\)

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Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

Area = π(13^2) = 169π = 530.9 ft^2

Since 3.14 is used for π,

Area = 3.14(13^2) = 530.7 ft^2

Answer:

40

Step-by-step explanation:

simple just 8 times 5

Answer:

yea 40

Step-by-step explanation:

its like regular multiplication don't overthink it

Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = population percentage of blue candies

So, Null Hypothesis, \(H_0\) : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is One-sample z-test for proportions;

                         T.S.  =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, the test statistics =  \(\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }\)

                                    =  -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

               P-value = P(Z < -0.22) = 1 - P(Z \(\leq\) 0.22)

                            = 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Answer:

c

Step-by-step explanation:

The y-values of the graph increases as the value of x increases, which

indicates that a characteristic of the base of the logarithm function.

Correct response:

The given points on the graph are;

The point where the graph starts = Quadrant 4

Direction of the graph = From quadrant 4 to quadrant 1

Points on the graph are;

(0.5, -0.4), (1, 0), and (6, 1)

The given options are;

\(y = \mathrm{log_{\frac{1}{6} } x}\)

\(y = \mathrm{log_{0.5} x}\)

\(y = \mathrm{log_1 x}\)

\(y = \mathrm{log_{6} x}\)

From the shape of the graph, in which, log x increases as x increases, therefore;

The base, b, of the logarithm is larger than 1, given that we have;

\(\mathbf{log_bx} = y\)

\(\mathbf{b^y} = x\)

From the given coordinate points, x increases as y increases, therefore;

b > 1

The possibly option is therefore, y = log₆x

Verifying, we have;

At x = -0.4, y = 0.5

\(b^y = x\)

\(6 ^{(-0.4)}\) ≈ 0.488

Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x

At the point (1, 0), we have;

6⁰ = 1

Therefore, the point (1, 0), is on the graph of y = log₆x

At the point (6, 1), we have;

6¹ = 6

Therefore, the point (6, 1) is on the graph of y = log₆x

The function of the graph is therefore;

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Answer:

x^6 y^3

Step-by-step explanation:

(x²y)³

We know that (ab) ^c = a^c * b^c

(x²y)³ = x^2 ^3  * y^3

We know that a^b^c = a^(b*c)

(x²y)³ = x^2 ^3  * y^3 = x^( 2*3) y^3 = x^6 y^3

Answer:

9:103° is the answer because of vertically opposite angle

10: 119° is the answer because of alternate angle

Hope it helps you...

Step-by-step explanation:

mark me brainliest

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6500\\ P=\textit{original amount deposited}\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ t=years\dotfill &16 \end{cases} \\\\\\ 6500=Pe^{0.0475\cdot 16} \implies \cfrac{6500}{e^{0.0475\cdot 16}}=P\implies 3039.83\approx P\)

Answer:

About 12.5%

cus 25% x 50 = 12.5%

50 is from the first marked down 50%, then u subtract it from 100%, making it another 50%.

An equation which you can use to represent the relationship shown in the table is y = 4.5x.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided in the table (see attachment), we can logically deduce the following data points on the line:

Points on x-axis = (4, 5).

Points on y-axis = (18.0, 22.5).

At point (4, 18.0), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:

y - 18.0 = (22.5 - 18.0)/(5 - 4)(x - 4)

y - 18.0 = 4.5(x - 4)

y = 4.5x - 18 + 18.0

y = 4.5x.

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The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

3,900- 1,500÷ 85

Step-by-step explanation:

Answer:

Step-by-step explanation:

j/-2 =-12-7

j=(-19)*(-2)

j=38

The transformation represents a reflection over the y = × line.

A. (x, y) → (-x, y)

A reflection over the y-axis is a transformation that flips a point or shape across the vertical line y = 0.

This means that points on the right side of the y-axis will be reflected to the left side, and vice versa.

Let's examine each option to determine which one represents a reflection over the y-axis.

A. (x, y) → (-x, y):

This transformation reflects the point across the y-axis.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, 2).

This represents a reflection over the y-axis.

B. (x, y) → (-x, -y):

This transformation not only reflects the point across the y-axis but also flips it vertically.

For example, if we have a point (3, 2), after applying this transformation, it becomes (-3, -2).

This represents a reflection over the y-axis.

C. (x, y) → (y, x):

This transformation swaps the x and y coordinates of a point, which does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point.

D. (x, y) → (y, -x):

This transformation swaps the x and y coordinates of a point and negates the new x-coordinate.

It does not represent a reflection over the y-axis.

Instead, it represents a 90-degree rotation of the point in the counterclockwise direction.

Based on the explanations above, both options A and B represent a reflection over the y-axis.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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