Factor the expression completely. 4x+2

1125  money will she have at the end of 10 years in the account  after Simple Interest.

What is a basic example and interest?

Mary plans to invest = 2500

t = 10 yr

r = 4.5 %

simple intrest = prt/100

                       = 2500 * 10 * 4.5 /100

                        = 1125

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Among the suitors pursuing Sara, the one who is most likely to be angry that she does not return her feelings would be the suitor who has developed strong emotional attachment and expectations towards Sara.

When someone has strong emotional attachment and expectations towards another person, they invest more of their feelings and desires into the relationship. In this scenario, if one of Sara's suitors has developed deep feelings for her and has invested significant emotional energy into pursuing her, they are more likely to feel hurt, disappointed, and angry if Sara does not reciprocate their feelings.

The suitor who may feel the strongest negative emotions could be the one who had the highest expectations or believed they had a special connection with Sara. They might have invested a lot of time, effort, and interest into their pursuit, leading to a sense of entitlement or disappointment if their feelings are not returned.

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Answer:

plugg in x values into the given functions.

it's option A

Using concepts of Mean, we got Paired samples test for the difference between two means is the type of test researcher is using.

The test procedure, called the two-sample t-test, is correct when the following conditions are met:

If the sample findings are not in favour, given the null hypothesis, the researcher rejects the null hypothesis. Typically, this will involves comparing the P-value to the significance level, and rejecting null hypothesis when the P-value is smaller than the significance level.

Hence, the test type which researcher is using Paired samples test for the difference between two means.

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Answer:

Look at the graph

You can complete the given task by clicking on the Design tab, click the Switch Row/Column button.

A graph is a pictorial representation of data in a way that each data point is marked and join the points to form a straight line or any curve.

You can create graphs or chart in Microsoft Excel as well.

If we create a graph in Excel, then the axis is determined by Excel according to the number of rows and columns comprised in the chart.

Excel places the variables with larger numbers on the X axis.

If both the rows and columns are of equal number, then rows are placed in the Y axis and columns are placed in the X axis.

So if you switch Row/Column button on the Design tab, then rows will be plotted in the Y axis and columns in the X axis.

Hence the correct option is, On the Design tab, click the Switch Row/Column button.

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Your question is incomplete. The complete question with the chart is given below.

the spread data is dispersed across the entire range of data.

What is range of data?

In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

When we plot data, we are considering the shape of the data. We plot the data based on the histogram, for example. The data's shape is Shape.

Outliers are different observations from the majority of the observations and are clustered in the center. Spread is the dispersion of the data throughout the entire range.

Hence, the spread data is dispersed across the entire range of data.

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Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

Step-by-step explanation:

The diagram is not included:

18 ft  x  10 ft  =  180 ft^2

180 ft^2  *  $ 3.19 / ft^2 = $  574.20     for a rectangular pool cover

If it is triangular    1/2 * 10 * 18   * $3.19 = $287.10

Ted's net pay per week after the taxes is $559.09

Net Pay:

Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.

Given,

Ted works as a travel guide for a mountain resort, earning $15.72 per hour. Ted is paid weekly, and works 40 hours in one week. His current federal withholding per week is $69. He works in a state with a flat-rate income tax of 4.63%. He will receive a raise of 5% of his hourly rate.

Here we need to find the Ted's net pay per paycheck, after taxes, if his new federal withholding per week is $75.

Through the given details we know that,

Per hour pay = $15.72

Total work per week = 40

So, the total amount for a week is

=> 15.72 x 40

=> $628.8

After federal withholding tax, then the amount is

=> $628.8 - 69

=> $559.8

Now the tax is 4.63%, then

=> $559.8 x 4.63%

=> $559.8 x (4.63/100)

=> $25.91

So, the remaining amount is

=> $559.8 - $25.91

=> $533.88

Now, he will receive 5% for his hourly rate,

Then,

=> $15.72 x (5%)

=> $15.72 x (5/100)

=> 0.78

So, the increased amount is

=> $16.5

Now, the net pay is,

=> (16.5 * 40) - (75 + 25.91)

=> 660 - 100.91

=> 599.09

So, Ted's net pay per paycheck, after taxes is $559.09.

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Answer:

Carter will sell 17 bags of peaches before he restocks.

Step-by-step explanation:

Total pounds of peaches Carter have = \(25\frac{1}{2} = \frac{51}{2} = 25.5\)

Weight of each bag = \(1\frac{1}{2} = \frac{3}{2} = 1.5\) pound

Number of bag made = \(\frac{25.5}{1.5}\)  = 17

The number is fully divided , it means no of peaches left = 0 < 3

So,

Carter will sell 17 bags of peaches before he restocks.

The number of bas of peaches, b, Carter will sell before he restocks is 17.

Since he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left.

So here

\(= 25.5 \div 1.5\)

= 17

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The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer: 1.8 or 180%

Step-by-step explanation:

Answer:

Step-by-step explanation:

1: You will pay $682.5 for a item with original price of $1050 when discounted 35%. In this example, if you buy an item at $1050 with 35% discount, you will pay 1050 - 367.5 = 682.5 dollars.

2: You will pay $617.5 for a item with original price of $650 when discounted 5%. In this example, if you buy an item at $650 with 5% discount, you will pay 650 - 32.5 = 617.5 dollars.

Answer:

B: -23

Step-by-step explanation:

\(-8+(-15)\\\\-8-15\\\\\boxed{-23}\)

Option B should be the correct answer.

Hope this helps.

The volume of air at the surface is 6.9 times larger than the volume of air at the bottom. Therefore, the depth (h) of the pool can be calculated using the following formula:Volume at surface / Volume at bottom = 6.9.

Therefore, h = (V/V_0) - 1, where V is the volume of the air bubble at the surface and V_0 is the volume of the air bubble at the bottom.

Using the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Since the temperature is constant, we can write:

P_0V_0 = P_fVwhere P_0 is the pressure at the bottom, P_f is the pressure at the surface, and V is the volume at the surface. Since the pressure at the surface is atmospheric pressure, we have:P_f = P_atm = 1 atm.

Therefore, we can rewrite the formula for h as:h = (P_fV/P_0V_0) - 1 = (V/P_0V_0) - 1Using the ideal gas law again, we can write:P_0V_0 = nRT_0, where T_0 is the temperature at the bottom.

Therefore, we have:V_0 = (nRT_0)/P_0Substituting this into the formula for h, we get:

h = (V/P_0(nRT_0)/P_0) - 1 = V/(nRT_0) - 1Since the number of moles and the temperature are constant, we can simplify this to:h = V/(RT_0) - 1.

Therefore, the depth of the pool at a point where an air bubble, upon reaching the surface, has 6.9 times the volume than it had at the bottom is:h = V/(RT_0) - 1A

Given: The volume of the air bubble at the surface is 6.9 times larger than the volume of the air bubble at the bottom. Air bubbles are a common sight in swimming pools, but do you ever wonder how deep the pool is at a point where the bubble has reached the surface?

To determine the depth, we need to assume that the condition is isothermal, which means that the temperature of the water is constant. We can also assume that the pressure at the bottom of the pool is equal to the pressure of the air bubble at the bottom.

To calculate the depth, we need to use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Since the temperature is constant, we can write:

P_0V_0 = P_fVwhere P_0 is the pressure at the bottom,

P_f is the pressure at the surface, and V is the volume at the surface.

Since the pressure at the surface is atmospheric pressure, we have:

P_f = P_atm = 1 atm.

Therefore, we can rewrite the formula for h as:h = (P_fV/P_0V_0) - 1 = (V/P_0V_0) - 1.

Using the ideal gas law again, we can write:P_0V_0 = nRT_0, where T_0 is the temperature at the bottom.

Therefore, we have:V_0 = (nRT_0)/P_0.

Substituting this into the formula for h, we get:

h = (V/P_0(nRT_0)/P_0) - 1 = V/(nRT_0) - 1.

Since the number of moles and the temperature are constant, we can simplify this to:

h = V/(RT_0) - 1.

Therefore, the depth of the pool at a point where an air bubble, upon reaching the surface, has 6.9 times the volume than it had at the bottom is:h = V/(RT_0) - 1.

The depth of the pool at a point where an air bubble, upon reaching the surface, has 6.9 times the volume than it had at the bottom can be calculated using the formula h = V/(RT_0) - 1, where V is the volume of the air bubble at the surface, R is the gas constant, and T_0 is the temperature at the bottom.

This formula assumes that the condition is isothermal and that the pressure at the bottom of the pool is equal to the pressure of the air bubble at the bottom.

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Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

The angles coterminal with a 145° angle are 215°, 505°, and 695° (or -145°, -505°, and -695°). So, the correct option are E, G and H.

The measures of angles coterminal with a 145° angle are

215° = (145° + 360°)

505° = (145° + 360° + 360°)

865° = (145° + 360° + 360° + 360°)

The angles that are coterminal with a 145° angle are those that can be obtained by adding or subtracting a multiple of 360°. Therefore, the angles that are coterminal with 145° are 505° and 865°. The other angles listed are not coterminal with 145°.

Therefore, the correct answer are 215°, 505°, 865° and options are E, G and H.

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Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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Answer:

D

Step-by-step explanation:

f(x) = x + 10

Replace f(x) with y.

y = x + 10

Now, remember that in an inverse function you flip the x and y, so

x = y + 10

Solve for y

y = x - 10

because its 2x... we must multiply by 2.

2y = 2x - 20

Original equation:

h(x) = 2x - 0

h(x) is 2y..

D.

Answer:

The missing value is 20

Step-by-step explanation:

On solving the provided question ,we can say that As a result, the pie chart's slice representing sleep has a 45 degree centre angle

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

We must first determine the percentage of the 24 hours that Burt slept in order to determine the size of the centre angle of the slice of the pie chart that represents sleep.

Burt slept for three hours out of a total of twenty-four, thus this is how much time he slept:

3/24 = 1/8

We need to multiply this ratio by 360 degrees (the total number of degrees in a circle) to determine the centre angle of the slice indicating sleep:

1/8 times 360 equals 45 degrees.

As a result, the pie chart's slice representing sleep has a 45 degree centre angle.

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The measure of the central angle, in degrees, of the slice of the pie chart representing sleep is 45 degrees.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

To calculate the measure of the central angle representing sleep in the pie chart, we need to determine what fraction of the 24 hours Burt spent sleeping.

Burt slept for 3 hours out of 24, so the fraction of time he spent sleeping is:

3 / 24 = 1 / 8

To convert this fraction into an angle, we use the formula:

angle = fraction * 360 degrees

So, the central angle representing sleep in the pie chart would be:

angle = (1 / 8) * 360 degrees = 45 degrees

Therefore, the measure of the central angle, in degrees, of the slice of the pie chart representing sleep is 45 degrees.

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Answer:

6:40 PM

Step-by-step explanation:

6:40 PM

Step-by-step explanation: Add like terms first. 550 -25x = 35x + 10

Then add 25x to both sides... 550 = 60x + 10, Then subtract 10 on both sides... 540 = 60x, Finally, divide by 60 on both sides to get x = 9.

its D

Step-by-step explanation:

x = 9

hope it helps!

.

Answer:

580.4 cm^2 to the nearest tenth.

Step-by-step explanation:

If we draw a perpendicular line from the top right vertex to the base we split the figure into 2 triangles and a rectangle in the center.

Left side triangle:

base = √(28^2 - 20^2)    (using Pythagoras theorem

= 19.600

So its area = 1/2 * 19.6 * 20 = 196 cm^2.

Right side triangle:

Base = √(30^2 - 20^2) = 22.361

Area = 1/2 * 22.361 * 20 = 223.61 cm^2

Rectangle:

Base of rectangle = 50 - 19.6 - 22.361 = 8.039.

Area = 8.039 * 20 = 160.78.

So the area of the whole figure

= 196 + 223.61 + 160.78

= 580.39 cm^2.

The line integral of (x+2y) dx + x² dy over the curve C is -11/3.

We can evaluate the line integral by parameterizing the curve C and integrating over the parameteric interval. Let's parameterize C as follows:

For the first line segment from (0, 0) to (2, 1), we can use the parameterization:

x = 2t

y = t

where t ranges from 0 to 1, For the second line segment from (2, 1) to (3, 0), we can use the parameterization: x = 2 + 1 y = 1 - t

where t ranges from 0 to 1.

Substituting these parameterizations into the integrand, we get:

(x+2y) dx + x² dy = (2t + 2t) dt + (4t²) dt + ((2+t)²) (-dt)

= 2(2t + t²) - (2+t)² dt

= -t² - 2t - 4 dt

Integrating this over the parameter interval [0,1] for each line segment and summing the results, we get: integral C (x+2y) dx+x² dy = ∫[0,1] (-t² - 2t - 4) dt + ∫[0,1] (-t² - 2t - 4) dt

= (-1/3)t³ - t² - 4t |[0,1] + (-1/3)t³ - t² - 4t |[0,1]

= -11/3

Therefore, the line integral of (x+2y) dx + x² dy over the curve C is -11/3.

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Answer:

Sine is an Odd B answer

Step-by-step explanation:

So basically it's B
Text book

Answer:

83

Step-by-step explanation:

100% is the total, the whole

Answer:

83

Step-by-step explanation:

You have 100%

change that to a decimal

you now have 1.00

multiply 83 by 1

you have 83

(a) The probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability of having at least one girl can be calculated by finding the probability of having no girls and subtracting it from 1.

Assuming that the probability of having a boy or a girl is equal (0.5), the probability of having no girls is (0.5)^4 = 0.0625.

Therefore, the probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.

(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

The probability that all the children will be of the same gender can be calculated by finding the probability of having all boys and adding it to the probability of having all girls.

The probability of having all boys is (0.5)^4 = 0.0625, and the probability of having all girls is also 0.0625.

Therefore, the probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.

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Answer:

c

Step-by-step explanation:

Answer:

C. 63

Step-by-step explanation:

took the test