Write an algebraic expression to represent the following situation: "Greg has nickels and pennies in his pocket. The number of pennies is 7 less than twice the number of nickels. Let N represent the number the nickels. Write an expression for the number of pennies."

The prove is as follows

Statement             Reason

line BC || line DA  Definition of parallelogram

Draw line AC        Unique line postulate

AC = CA                Reflexive property (common sides)

∠BAC = ∠DCA      Alternate interior angles

∠BCA = ∠DAC      Alternate interior angles

Δ ABC ≅ Δ CDA   ASA triangle postulate

AB ≅ CD               CPCTC theorem

BC ≅ DA               CPCTC theorem

The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.

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I would chose more initial zombies, but a slower growth rate because when they grow stronger, you get stronger so you have a better chance of survival if their development rate is gradual, giving you time to collect weapons and construct a shelter.

Growth rate refers to the percentage increase or decrease in a particular variable over a specific period of time. It is commonly used in finance, economics, and business to describe the rate of change of various economic indicators such as gross domestic product (GDP), population, revenue, profit, and so on.

To calculate the growth rate, you need to divide the difference between the final value and the initial value of the variable by the initial value, and then multiply the result by 100 to express it as a percentage. The formula for growth rate is as follows:

Growth rate = ((Final value - Initial value) / Initial value) x 100

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Answer:

41

Step-by-step explanation:

You got to first divide 45 by 32. Which is 1.40625 so 1.40625 - 1 = 0.40625 x 100 = 40.625. Round to the nearest whole percent ... 41

The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:

I = (1/2) × m × r²

where:

I is the moment of inertia of the cylinder

m is the mass of the cylinder

r is the radius of the cylinder.

Here are the steps to calculate the moment of inertia for a cylinder:

Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:

m = density × volume

Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.

Substitute the values of m and r into the moment of inertia formula:

I = (1/2) × m × r²

Calculate the moment of inertia using a calculator.

Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.

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The distance covered is. 90 miles

Speed is the distance an object travels in a given time.

This is represented as

Speed = Distance ÷ Time

We can also use the speed formula to calculate the distance or time by substituting the known values in the formula for speed and further evaluating,

Distance = Speed × Time or,

Time = Distance/Speed

To find the distance covered, we find the total speed

= 5 + 10(twice as fast on the trip back)

= 15

Distance = speed x time

= 15mph x 6hours

= 90miles

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Answer:

y = 350x + 225

It will cost $4425 for 12 credits

Step-by-step explanation:

From the two points shown in the graph, we can write the equation of the line.

(5, 1975), (8, 3025)

slope = m = (y_2 - y_1)/(x_2 - x_1) = (3025 - 1975)/(8 - 5) = 1050/3 = 350

y = mx + b

y = 350x + b

1975 = 350 × 5 + b

b = 225

The equation is

y = 350x + 225

For 12 credits, x = 12.

y = 350 × 12 + 225

y = 4425

Answer: It will cost $4425 for 12 credits

The segments in the figure are:

segment QT

segment QR

segment QS

segment RS

segment ST

segment RT

A line is a straight path of points that has no beginning or end.

A ray is a portion of a line which has one endpoint and extends forever in one direction.

Note: the arrow is an indication no endpoint.

Let's put the definitions:

Line QT (lines are bound by two arrows pointing left and right)

ray ST (rays are bound by a dot and an arrow)

ray RT

ray QT

ray TQ

ray SQ

ray RQ

segment QT (segments are bound by two dots)

segment QR

segment QS

segment RS

segment ST

segment RT

Check the attached image for the correct selection

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The value of the hypotenuse , x is 19.2

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

Rise = 17

Length = 9

The value of the hypotenuse , x is calculated as

x^2 = Rise^2 + Length^2

Substitute the known values in the above equation, so, we have the following representation

x^2 = 17^2 + 9^2

So, we have

x^2 = 370

Take the square root of bpth sides and evaluate

x = 19.2

Hence, the value of x is 19.2

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The conversion from ml to teaspoon is 1 ml = 0.202884 tsp. This means that 30 ml is equal to 6.08652 teaspoons.

This conversion can be calculated by multiplying the volume in ml with 0.202884. The formula for this conversion is Volume (tsp) = Volume (ml) x 0.202884. For example, if the volume is 30 ml, the calculation would be 30 ml x 0.202884 = 6.08652 tsp. This means that 30 ml is equal to 6.08652 teaspoons.To convert between other units of volume, such as liters and gallons, the conversion factor must be changed. For example, to convert from liters to teaspoons, the conversion factor would be 0.0147867. To convert from gallons to teaspoons, the conversion factor would be 76.7526. It is important to remember that the conversion factor must be changed depending on the units being converted.In conclusion, 30 ml is equal to 6.08652 teaspoons. The conversion from ml to teaspoon is done by multiplying the volume in ml with 0.202884. To convert between other units of volume, the conversion factor must be changed.

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No, the table is not a square.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

Given that, Seth made a small rectangular table having sides 36" and 18", and the diagonal measures 43",

Squares has congruent sides,

But here the sides are 36" and 18"

Hence, the table is not a square.

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We know that 60 second is equal to 01 Minutes.

and 90 second is equal to 01 and half minutes.

Therefore, 04 minutes and 10 seconds consists 250 second.

Second:

The second is the critical unit of time. The default unit of time in the SI system of units. It can be defined as the time required for an electromagnetic field to propagate through a vacuum of 3 x 10 5 km.

1 solar day consists of 86,400 seconds. One minute is 60 seconds.

The second is not small enough and is limited to use by scientists and engineers, so we got a smaller unit like this:

Minutes:

Minutes are a significant unit of time. Equal to 60 seconds. One hour includes 60 minutes. Minutes can be expressed as min. Included in the SI measurement system.

According to the Question:

250 seconds = 4 minutes and 10 seconds.

To obtain this result proceed as follows:

Divide 250/60, take the integer part of INT(250/60) and write it as minutes: 4.

Calculate the remainder, MOD(250,60), and write it down as seconds: 10.

Proof: (4 × 60) + 10 = 250.

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Based on the provided information, a. Ramon reads faster and b.it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.

To answer this question, we need to calculate the reading rate of both Skyler and Ramon, and then compare them to see who reads faster. We also need to use Ramon's reading rate to calculate how long it will take him to read the entire novel.

a. To calculate Skyler's reading rate, we can divide the number of pages she has read by the number of hours she has spent reading:

Skyler's reading rate = 145 pages / 5 hours = 29 pages/hour

Similarly, we can calculate Ramon's reading rate:

Ramon's reading rate = 124 pages / 4 hours = 31 pages/hour

Since Ramon's reading rate is higher than Skyler's, Ramon reads faster.

b. To calculate how long it will take Ramon to read the entire novel, we can use his reading rate and the total number of pages in the novel:

Time = Total number of pages / Reading rate

Time = 520 pages / 31 pages/hour = 16.77 hours

So, it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.

In conclusion, Ramon reads faster than Skyler, and it will take him approximately 16.77 hours to read the entire Vigo the Vampire Hunter novel at his current reading rate.

Note: The question is incomplete. The complete question probably is: The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours. a. Who reads faster, Skyler or Ramon? b. How long will it take Ramon to read the entire novel if he continues to read at his current rate? Explain.

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Answer:

4.0007, 4.5, 4.7569, 4.9675, 47,005, 47.569, 47.965

Step-by-step explanation:

The total mass of the 135 boxes that the woman bought is 2358.7 kg

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Each bottle of water has a mass of 728g. A box of mineral water contains 24 bottles from a given factory, hence:

Mass of each box = 24 bottles * 728 g per bottle = 17472 g

The woman bought 135 boxes, therefore:

Total mass of boxes =  135 boxes * 17472 g per box = 2358720 g

But 1 kg = 1000 g

2358720 g = 2358720 g * 1 kg per 1000 g = 2358.7 kg

The total mass is 2358.7 kg

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.

What is DNA?

DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.

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Answer: C. 0.75

Step-by-step explanation:

formulate 15 ÷ 20
= 15/20
= 3/4 (convert 3/4 to a decimal)
= 0.75

Answer:

x = 15.25

y = 71/6

Step-by-step explanation:

10x -9y = 46

-2x + 3y = 5

Time the second equation by 5

10x - 9y = 46

-10x + 15y = 25

6y = 71

y = 71/6

Now put 71/6 back in for y and solve for x

10x -9(71/6) = 46

10x -106.5 = 46

10x = 152.5

x = 15.25

Let's check

-2(15.25) +3(71/6) = 5

-30.5 + 35.5 = 5

5 = 5

So, x = 15.25 and y = 71/6 is the correct answer.

Explanation:

90/360 = 1/4

We have 1/4 of a pizza here. This slice is equal to an area of 9pi square units. The full pizza is 4*9pi = 36pi square units.

Use the circle area formula to determine r.

A = pi*r^2

36pi = pi*r^2

36 = r^2

r = sqrt(36)

r = 6

The circle has radius 6 units.

Answer: Let's call the number of bananas your character slipped on as "x". Then, the total points from slipping on bananas would be -3x. And since the total points from slipping on bananas during one race were at most -27, we can write an inequality to represent this:

-3x ≤ -27

Now we'll solve for x:

Divide both sides by -3:

x ≥ 9

So, the least number of bananas your character slipped on is 9.

To find the least number of seconds of race time, we need to multiply the number of bananas by 2 seconds per banana:

9 bananas * 2 seconds/banana = 18 seconds

So, the least amount of race time your character took to slip on bananas is 18 seconds.

Step-by-step explanation:

Using the metric system, a Deka is 10 of a unit. In the metric system, the prefix "deka" (also written as "deca") represents 10 of a unit. So, the correct option is C.

The metric system is an internationally recognized system of measurement that is used in many countries around the world. It is also known as the International System of Units (SI), and it is based on a decimal system, meaning that units are related to each other by powers of 10.

The metric system has a set of base units that are used to measure different types of quantities. The base units are:

Meter (m): used to measure length or distance

Kilogram (kg): used to measure mass or weight

Second (s): used to measure time

Each base unit has a set of prefixes that can be used to create larger or smaller units. These prefixes are based on powers of 10, and they are added to the base unit to indicate the size of the unit. Here are the most common prefixes and their meanings:

Kilo- (k): 1000 times the base unit (e.g., 1 kilogram = 1000 grams)

Hecto- (h): 100 times the base unit (e.g., 1 hectometer = 100 meters)

Deka- (da): 10 times the base unit (e.g., 1 dekagram = 10 grams)

Using these prefixes, you can create units that are appropriate for the quantity you are measuring.

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The required slope of the linear function is $30, and the y-intercept is $75.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

To find the slope of the linear function, we need to calculate the change in cost divided by the change in time.

Change in cost = $285 - $105 = $180

Change in time = 7 - 1 = 6

Slope = Change in cost / Change in time = $180 / 6 = $30

To find the y-intercept, we can use the point-slope form of a linear equation, y = mx + b, where y is the cost, x is the time, m is the slope, and b is the y-intercept.

Using the point (1, $105), we can substitute x = 1 and y = $105 into the equation and solve for b:

$105 = $30(1) + b

b = $105 - $30 = $75

Therefore, the slope of the linear function is $30, and the y-intercept is $75.

The linear function can be written as: y = $30x + $75, where x is the number of months of membership and y is the cost of the membership.

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Answer:

15 or more times

Step-by-step explanation:

30/2=15. It says that at least so 15 or more

As the consumption rate of 1997  estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .

As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days  so comsumption of oil yearly was .

1997 consumption = 73.700 million barrels per day

so for 1 year 73.700 million *365 =26,900.5 million barrels per day

her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil

2000 billion = 2,000,000 millions

here we are calculation this in million

so for 2,000,000 million will be

2,000,000 million /26,900.5 million =74.34 year

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The value of x in the triangle is 8.2 units

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

Angle = 12 degrees

Hypotenuse = x

Length = 8

The length of hypotenuse, x is calculated as

cos(12) = 8/x

Make x the subject of the formula

x = 8/cos(12)

Evaluate the expression

x = 8.2

Hence, the value of x is 8.2 units

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Answer:

x=3

y=-34

this should be correct

The ratio for year 10: year 11: and year 12 will be 1: 40: 36.

The utilization of two or more additional numbers that compares is known as the ratio.

The ratio of Year 10 to Year 11 is 1: 40. Then the ratio is given as,

y₁₁ / y₁₂ = 1/40

y₁₁ / 1 = y₁₂ / 40              ...1

The ratio of Year 11 to Year 12 is 10: 9. Then the ratio is given as,

y₁₂ / y₁₃ = 10 / 9

y₁₂ / y₁₃ = 40 / 36

y₁₂ / 40 = y₁₃ / 36         ...2

From equations 1 and 2, then we have

y₁₁ / 1 = y₁₂ / 40 = y₁₃ / 36

y₁₁: y₁₂: y₁₃ = 1: 40: 36

The ratio for year 10: year 11: and year 12 will be 1: 40: 36.

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Answer:

The answer is C, as you'd need to multiply the chance of getting a convertible by the chance of getting a red car, or vice versa.

Step-by-step explanation:

Notice in A it says OR, meaning that it can't be both red and a convertible. B would be impossible, and D would be adding and not multiplying, so C would be the answer. 0.40*0.25=0.10

An independent variable is a variable that can be changed or manipulated in a scientific experiment.

Independent variables are variables in an experiment or research study that are independent of other variables, meaning they are unaffected by the other variables in the experiment. Independent variables are often manipulated by the researcher and are used to observe the effect on a dependent variable. Examples of independent variables include the type of treatment, the level of education, the amount of money offered, and the type of incentive.

It is used to determine the effect that the change has on the dependent variable, which is the variable being tested and measured in the experiment. By changing the independent variable, researchers can observe how the change affects the dependent variable. Examples of independent variables include the amount of light, temperature, time, type of material, and other factors that could influence the outcome of the experiment.

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The exponential equation representing the given table is -

y = 2.84(1.072)ˣ.

Given is a function table as shown in below -

{X}   0     5        10       15       20

{Y}   0  4.02   5.69   6.97    8.05

Let the expression be -

y = A(B)ˣ

At {x} = 5, y = 4.02.

We can write -

4.02 = A(B)⁵                                               ... Eq { 1 }

At {x} = 10, {y} = 5.69

We can write -

5.69 = A(B)¹⁰                                            ... Eq { 2 }

Refer to the graph. The point of intersection represents -

A = 2.84
B = 1.072

The equation would be -

y = 2.84(1.072)ˣ                                      ... Eq { 3 }

Therefore, the exponential equation representing the given table is -

y = 2.84(1.072)ˣ.

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