What is the measure of∠w

Hint: ∠x is a right angle.

Answer:

7% my answer i think if im mistake please dont report me

There were 3,200 bacteria present.

A colony of bacteria grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours, there are 10,000 bacteria. At the end of 5 hours, there are 62,500 bacteria.

The exponential growth of a population of bacteria is given by the formula:N = Noert,

where N is the final population size, No is the initial population size, r is the growth rate, and t is the time in hours.

The growth rate : r = (ln N - ln No) / t

Using the given data, we can write two equations in two unknowns (No and r):10,000 = Noer3100 = Noer5

Dividing the second equation by the first equation gives: 100/62.5 = e^(r*2)

Taking the natural logarithm of both sides gives:ln(100/62.5) = r*2r = ln(100/62.5) / 2r = 0.0995

Using the growth rate r, we can solve for the initial population No using either of the two original equations:No = 10,000 / e^(r*3)No = 10,000 / e^(0.0995*3)No = 3,200 bacteria

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Answer:

It's C -0.05 years of age per year

Step-by-step explanation:

The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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Answer:

i believe

the first one it's (0,3)

the second is (4, -7)

Answer:

i = 0.06

n = 108

Step-by-step explanation:

Rate per period:

This is the interest rate, as a decimal.

In this question, the interest rate is 6%. As a decimal, this is 0.06.

So i = 0.06

Number of periods:

The compounding happens monthly.

So 1 period is 1 month.

The payments are made for 9 years, and each year has 12 months.

9*12 = 108

So n = 108R

Answer:

Step-by-step explanation:

Answer:

V = 400 ft^3

Step-by-step explanation:

The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.

Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft)  =  400 ft^3

Ninety percent of all students at private universities pay less than approximately $25,692.

To find the amount that ninety percent of all students at private universities pay less than, we need to use the cumulative distribution function of the standard normal distribution.

First, we need to find the z-value corresponding to the cumulative probability of 0.90. Using a standard normal distribution table or calculator, the z-value for a cumulative probability of 0.90 is approximately 1.28 (rounded to 2 decimal places).

Next, we can use the formula for the normal distribution to find the amount. The formula is:
Amount = Mean + (z * Standard Deviation)

Plugging in the given values, we have:
Amount = $20,132 + (1.28 * $4,450)

Calculating this, we get:
Amount ≈ $25,692

Therefore, ninety percent of all students at private universities pay less than approximately $25,692.

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Answer: \(\frac{5}{8}\)

Step-by-step explanation:

Let's make the denominator of both fractions equal before

\(\frac{-1}{8} +\frac{3}{4}\) = \(\frac{-1}{8} + \frac{6}{8}\)

Then add both numerators

\(\frac{-1}{8} + \frac{6}{8}\) = \(\frac{5}{8}\)

The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.

A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.

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The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.

Assuming the second series is

3 - 3/2 + 3/4 - 3/8 + ...

then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.

To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:

S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)

Multiply both sides by -1/2:

(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n

When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:

S - (-1/2) S = 3 - 3(-1/2)^n

S/2 = 3[1 - (-1/2)^n]

S = 6[1 - (-1/2)^n]

As n gets larger, the (-1/2)^n term will converge to 0, leaving us with

lim (n -> infinity) S = 6

so that the series converges to 6.

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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Answer:

D

Step-by-step explanation:

Answer:

11/3

Step-by-step explanation:

3x+4=15

3x=11

x=11/3

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.

Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.

Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ

where Xᵢ are observation and pᵢ probability of Xᵢ.

We have given that,

Total number of cards in standard card deck = 52

i.e total possible outcomes = 52

One card is drawn from deck.

Total number of king cards in 52-card deck = 4

Favourable outcomes that drawn card is king = 4

Probability of getting a king card , p = 4/52 = 1/13

Probability of not getting a king ,q = 1 - p

= 1 - 1/13 = 12/13

let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is

Xᵢ pᵢ

$20 1/13

-$1 12/13

So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13

Hence, required excepted value is 8/13.

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∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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Answer:

I know how to do this problem, but before I do, this isn't a live test, correct?

I recognize that your photo is from an eCampus quiz. I want to make sure I don't violate the honor code when answering.

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

Explanation:

Here, we want to get the equation of the line

The general equation of a straight line can be expressed as:

where m is the slope and b is the y-intercept (the point at which x = 0)

Now, let us write the given equation in the general form

We have this as:

From here, we can see that the value of the slope which is the coefficient of x is 1

When two lines are parallel, the value of their slopes are equal

This mean that the value of the slope of the line L4 is 1 too

Finally, by using the point slope format, we can get the equation of the line L4

We have the point-slope form as:

The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:

PE = mgh

Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.

PE_cylinder = mgh_cylinder  ... (1)

PE_sphere = mgh_sphere  ... (2)

Since the initial velocity and mass are the same for both objects, we can equate their potential energies:

PE_cylinder = PE_sphere

mgh_cylinder = mgh_sphere

h_cylinder = h_sphere

Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

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Step-by-step explanation:

please mark me as brainlest

Answer:

x = 5

Step-by-step explanation:

Mode: The most frequently occurring data value.

Median: The middle value when all data values are placed in order of size.

Mean: The sum of all data values divided by the total number of data values.

As the mode is the most frequently occurring data value, x must be 3, 4, 5 or 8.

If the mode is 3 or 4, then the data set will be {3, 3, 4, 5, 8} or {3, 4, 4, 5, 8}.  Therefore, the median would be 4.

If the mode is 5 or 8, then the data set will be {3, 4, 5, 5, 8} or {3, 4, 5, 8, 8}.  Therefore, the median would be 5.

Therefore, the median is 4 or 5.

\(\boxed{\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}\)

If x = 4, the mean would be:

\(\sf \implies mean=\dfrac{3+4+5+8+4}{5}=\dfrac{24}{5}=4.8\)

If x = 5, the mean would be:

\(\sf \implies =\dfrac{3+4+5+8+5}{5}=\dfrac{25}{5}=5\)

Therefore, the only value of x that allows the mean, median and mode to all have the same value is x = 5.

To sketch the region bounded by the graphs of the equations y = -x^2 + 2x and y = -x^2, we can analyze their properties and find the points of intersection.

Here's a step-by-step approach:

Find the points of intersection:

Set the two equations equal to each other and solve for x:

-x^2 + 2x = -x^2

2x = 0

x = 0

So the two curves intersect at x = 0.

Determine the y-values:

Substitute the x-value into either equation to find the corresponding y-value:

For x = 0:

y = -0^2 + 2(0) = 0

Sketch the curves:

Plot the points (0, 0) on a coordinate plane.

Then, plot the graphs of the equations y = -x^2 + 2x and y = -x^2.

You can choose additional x-values and calculate the corresponding y-values to sketch the curves accurately.

In this case, you can choose x = -1, x = 1, and x = 2.

Using these x-values, calculate the corresponding y-values:

For x = -1:

y = -(-1)^2 + 2(-1) = -1 - 2 = -3

For x = 1:

y = -(1)^2 + 2(1) = -1 + 2 = 1

For x = 2:

y = -(2)^2 + 2(2) = -4 + 4 = 0

Plot these points and connect them to form the curves.

Sketch the region:

Shade the region between the two curves, bounded by the points of intersection and the x-axis.

The sketch of the region bounded by the graphs of the equations y = -x^2 + 2x and y = -x^2 should look like this:

  |            /

3|          /

  |        /

2| __/____

  | /             \

1 |\               \

  | \                \

0|__\___\___\

  -1     0     1      2

The shaded region represents the area enclosed by the curves y = -x^2 + 2x and y = -x^2.

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It is possible that blood pressure levels could change after listening to soothing music, but it is unclear from the data given whether this is the case or not.

A sample of 15 people is a relatively small sample size, so it may not be representative of the population as a whole. In addition, it is not clear what method was used to select the sample, so there may be issues with sampling bias.

Furthermore, the presence of an outlier in the data could indicate that there are other factors influencing the change in blood pressure, such as an underlying medical condition or a reaction to a specific type of music. This outlier could also significantly affect the overall results of the study, making it difficult to draw reliable conclusions.

Therefore, it is not possible to determine from the information given whether or not blood pressure levels change after listening to soothing music. A larger and more carefully selected sample would be needed to provide more reliable results.

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Answer:

JKL = 117

Step-by-step explanation:

63 and JKL form a straight line and their sum is 180

63+ KJL = 180

Subtract 63 from each side

63+ KJL - 63 = 180-63

JKL = 117

The form of the Pythagorean triple generator is  (x² + y²)² = (x² - y²)² + (2xy)²

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