11. You have a bank account in which
your balance increases annually at a rate of 7.25%. If your initial
investment was $250, write an
equation that represents your
balance after x years.

Initial Value (a):
Rate (r):
Time (x):
Equation:

Answer:

f≤ 12

Step-by-step explanation:

The cat can only eat up to 12 oz, but can also eat 12 oz, so we have to use the less than or equal to symbol to represent that.

So, option D is correct.

f≤ 12

Answer: 3/8 >2/6

Step-by-step explanation:

It would take Rafael approximately 9.05 hours to run a 50-mile marathon in Washington D.C. at the same pace he ran the Boston Marathon.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we can use the concept of the average speed or pace, which is given by the formula:

pace = time / distance

where pace is the time it takes to cover one unit of distance (e.g., one mile), time is the time taken to cover the distance, and distance is the distance covered.

We can rearrange this formula to find the time it would take to cover a given distance at a given pace:

time = pace * distance

Using this formula, we can find the pace at which Rafael ran the Boston Marathon:

pace = time / distance

pace = 4.75 hours / 26.2 miles

pace = 0.181 hours/mile

Now we can use this pace to find the time it would take Rafael to run a 50-mile marathon:

time = pace * distance

time = 0.181 hours/mile * 50 miles

time = 9.05 hours

Therefore, it would take Rafael approximately 9.05 hours to run a 50-mile marathon in Washington D.C. at the same pace he ran the Boston Marathon.

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The volume of the cylinder is 3532.5 metres cube.

The figure above is a cylinder. The volume of the cylinder can be found as follows:

volume of a cylinder = πr²h

where

Therefore, let's find the height using Pythagoras's theorem.

25² - 15² = h²

h² = 625 - 225

h = √400

h = 20 metres

Hence,

volume of a cylinder = 3.14 × 7.5² × 20

volume of a cylinder = 3532.5 metres cube

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The image of point C(-3,0) after a 180° counterclockwise rotation around the origin is the point (3,0).

To graph the image of point C(-3,0) after a 180° counterclockwise rotation around the origin, we can use the following formula:

(x', y') = (-x, -y)

where (x, y) are the coordinates of the original point, and (x', y') are the coordinates of its image after rotation.

Using this formula, we get:

(x', y') = (-(-3), -(0)) = (3, 0)

So, the image of point C(-3,0) after a 180° counterclockwise rotation around the origin is the point (3,0).

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Answer:

i think D if not then B

Step-by-step explanation:

Answer:

it's 17.04 as u showed in the answer

Step-by-step explanation:

1st u change the mixed no. to improper fraction

2nd u will multiply it by it's resprocal then u will get 17.04

Answer: Perimeter of semi-circle πr + 2r

Area of semi-circle πr2/2

Step-by-step explanation:

i promise

The equation that represent the number of pine cones Christian has is A)p=9 x 3 and D)p=3x9.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here Number of pine cone basket does Christian have = 3

Number of pine cone in One basket = 9.

Then the equation is,

Number of pine cones Christian has = 3 × 9

=> p = 3 × 9 or p = 9×3.

Hence the correct equation is A)p=9 x 3 and D)p=3x9.

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Therefore , the solution of the given problem of unitary method comes out to be option C The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

Use the tried-and-true fundamental method, the real variables, and any useful information you learn from the broad and specific questions to complete the assignment. Customers may be given another chance to taste expression the products in response. If these improvements don't happen, we'll lose out on significant expression advances in programming understanding.

Here,

We may calculate the side lengths of the physical object using the following formulae given the scale factor of 2:1:

Drawing to scale: Side a: 11 inches

8 inches on side B.

3 inches on side C.

real thing

11 inches by two equals 22 inches on side a.

Side B: 8 inches times two equals 16 inches

3 inches by 2 equals 6 inches on side C.

B. Side a: 26 inches in the scale drawing.

20 inches on side B.

10 inches on side C.

real thing

Side a: 2 times 26 inches equals 52 inches.

Side B: 20 inches times two equals 40 inches

20 inches are equal to 10 inches on side C.

C. Side a: 2.5 inches in the scale drawing.

5 inches on side B.

6.5 inches on side C.

real thing

2.5 x 2 = 5 inches on side a.

Side B: 5 inches times two equals 10 inches

6.5 inches by two equals 13 inches on side C.

So, the appropriate response is:

C. The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

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The new volume of the gas is 2.35 liters.

To solve this problem, we can use the formula for Charles's Law:

V1/T1 = V2/T2

We are given that V1 = 2.2 liters, T1 = 18°C, and T2 = 38°C. We need to find V2.

First, we need to convert the temperatures to Kelvin. To convert Celsius to Kelvin, we add 273.15:

T1 = 18°C + 273.15 = 291.15 K

T2 = 38°C + 273.15 = 311.15 K

Now we can plug in the values and solve for V2:

V1/T1 = V2/T2

2.2/291.15 = V2/311.15

V2 = (2.2/291.15) * 311.15

V2 = 2.35 liters (rounded to two decimal places)

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The correct options are:

C. It is a hyperbola.

D. It is in quadrants I and II.

The reciprocal parent function is given by:

f(x) = 1/x

The graph of this function is a hyperbola, which opens up and down, and has vertical asymptotes at x = 0 (the y-axis).

The graph is in quadrants I and II, since x > 0 for positive values of y, and x < 0 for negative values of y.

The graph does not go through the origin (0,0), since f(0) is undefined. It is not a parabola, since a parabola is a U-shaped curve, which is not the shape of the reciprocal parent function.

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Answer:

Hello thanks for submitting here is the equation commonly known for this type of thing!

Equation y = 12.50x. 2

If you need the answer let me know!

The simplified form of the expression (8h + 7) - (7h + 6) is h + 1. We subtract this by using the distributive law.

An expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, etc.) that represents a mathematical quantity or value. Expressions can be simple, consisting of just a single number or variable, or they can be complex, involving multiple numbers, variables, and operations.

The distributive law, also known as the distributive property or distributive property of multiplication over addition, is a fundamental property of arithmetic and algebra that allows the distribution of a multiplication operation over an addition or subtraction operation.

The distributive law states that for any three numbers a, b, and c:

a × (b + c) = (a × b) + (a × c)

According to the given information:

To subtract (8h + 7) - (7h + 6), we can use the distributive property of multiplication over addition to simplify the expression.

(8h + 7) - (7h + 6)

= 8h + 7 - 7h - 6 (Applying the distributive property)

Now, we can combine like terms by adding or subtracting coefficients of the same variable:

= (8h - 7h) + (7 - 6) (Grouping-like terms)

= h + 1 (Simplifying)

So, the simplified form of the expression (8h + 7) - (7h + 6) is h + 1.

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AC is congruent to DF by the definition of congruency. Applying SSS Congruency, Triangle ABC is congruent to DEF, and since Triangle DEF is a right angled triangle, Triangle ABC is also a right angled triangle with angle B as 90 degrees.

AB is congruent to DB because segment DE was constructed so that DE = AB, BC is congruent to EF, because segment EF was constructed so that EF = BC, and since Triangle DEF is a right angled triangle, we have:

DE² + EF² = DF² (Pythagoras Theorem)

We are also given that:

AB² + BC² = AC²

Since DE = AB and EF = BC, we can substitute these values in the above equation to get:

DE² + EF² = AC²

Thus, we can substitute the above value of AC² in the equation DE² + EF² = DF² to get:

DE² + EF² = DF² = AB² + BC²

Taking the square root on both sides, we get:

DF = √(AB² + BC²)

Since AC² = AB² + BC², we can write:

DF = √AC²

Therefore, AC is congruent to DF by the definition of congruency. Applying SSS Congruency, Triangle ABC is congruent to DEF, and since Triangle DEF is a right angled triangle, Triangle ABC is also a right angled triangle with angle B as 90 degrees.

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Your question is incomplete; most probably, your complete question is this:

Prove that △ABC is a right triangle. Select the correct answer from each drop-down menu.

You would use a Chi-square test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

You would use a hypothesis test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population. This type of hypothesis test is commonly used in statistics to evaluate the significance of differences between observed and expected frequencies.

The test involves selecting a sample from the population of interest, calculating the sample proportions, and comparing them to the hypothesized proportions using statistical methods. If the observed proportions are significantly different from the hypothesized proportions, then there is evidence to suggest that the hypothesized values are not correct.

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You would use a one-sample proportion test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.

In this test, we compare the observed proportion (based on the sample data) to a hypothesized proportion (based on the null hypothesis) using a test statistic and a p-value. If the p-value is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the observed proportion is significantly different from the hypothesized proportion.

This test is often used in quality control, market research, and public opinion polling to test whether a particular proportion (such as the proportion of defective products or the proportion of people who support a particular policy) is consistent with a hypothesized value.

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The area of the rectangle is 231 square meters.

To find the area of a rectangle, we need to multiply its length by its width.

Given that the length of the rectangle is 21 meters and the width is 11 meters, we can find the area as:

Area = Length x Width

Area = 21 meters x 11 meters

Area = 231 square meters

Therefore, the area of the rectangle is 231 square meters.

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To obtain the best estimate of the percentage of people from the town who will attend the next game, the football coach should survey a randomly selected group of people from the town.

By randomly selecting individuals from the town, the sample will be more representative of the town's population, and the coach can obtain a more accurate estimate of the percentage of people who will attend the next game.

Surveying people who have a friend on the football team, or who attended the last game, or people who are on sports teams may result in biased samples that do not accurately represent the town's population as a whole.

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In linear equation., 33 far will the ball have traveled when it hits the ground for the fourth time.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

in order to calculate the distance of the ball taht would have traveled when it hits the ground for the fourth time is to list the height everytime it bounces. We calculate as follows:

12+6+6+3+3+1.5+1.5 = 33 feet

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If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS

When expressed as percentage, 660 parts per million will equal to 0.0066%.

Part per million (ppm) should be multiplied by 0.001 of it could be divided by 10000 to convert it into percentage. In order to convert 660 ppm to a percentage, divide it by 10,000, which yields 0.066.

This needs to be multiplied by 100 to achieve the final result of 0.066%, which is how we may describe it as a percentage. Because the answer is less than 1%, you'll see that we added a leading zero.

As a result, the answer is 0.066%.

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The area of the right triangle is 173.25 square feet.

The formula for the area of a right triangle is:

A = (1/2)bh

where A is the area, b is the base, and h is the height.

We are given that the height of the right triangle is ten and one-half feet (10.5 ft) and the base is 33 feet.

Substituting the given values into the formula, we get:

A = (1/2)(33)(10.5)

Simplifying the expression on the right side, we get:

A = 173.25

Therefore, the area of the right triangle is 173.25 square feet.

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Answer:

Set your calculator to degree mode.

x = tan^-1 (6/8) = 36.87°

To find the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67, we need to find the area under the curve between these two values.

Using the Standard Normal Table, we can find the area to the left of z = -1.8 and z = 0.67, and then subtract the former from the latter to get the area between them.

The area to the left of z = -1.8 is 0.0359, and the area to the left of z = 0.67 is 0.7486.

Therefore, the area between z = -1.8 and z = 0.67 is:

0.7486 - 0.0359 = 0.7127

So the proportion of observations on the Standard Normal Curve between z = -1.8 and z = 0.67 is approximately 0.7127, or 71.27%.

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The biggest effect of electing so many public officials is that it can be difficult for voters to make informed decisions.

With so many candidates to choose from, voters may not have the time or resources to thoroughly research each candidate and their qualifications. This can lead to uninformed voting, where voters may simply choose a candidate based on their name recognition, party affiliation, or other superficial factors.

Additionally, contested elections can also lead to an increase in negative campaigning and attack ads, which can further cloud voters' perceptions of the candidates and the issues at stake. Ultimately, electing a large number of public officials can make it harder for voters to feel confident in their choices and can undermine the democratic process.

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Person C would rate the highest on their eligibility for a home loan.

A down payment is a payment made upfront by a buyer when purchasing a big-ticket item, such as a house or a car.

It is typically a percentage of the total purchase price, and the remaining balance is financed through a loan.

We have,

Debt-to-income ratio for each person:

Person A:

Down payment = $14,250, Debt-to-income ratio = ($310 / $3,833) x 100% = 8.08%

Person B:

Down payment = $16,050. Debt-to-income ratio = ($198 / $4,416) x 100% = 4.49%

Person C:

Down payment = $18,000. Debt-to-income ratio = ($265 / $4,833) x 100% = 5.49%

Person D:

Down payment = $19,200. Debt-to-income ratio = ($400 / $5,000) x 100% = 8.00%

Now,

Based on these calculations, Person C has the highest down payment and the lowest debt-to-income ratio, making them the most eligible for a home loan.

Therefore,

Person C would rate the highest on their eligibility for a home loan.

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The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

The statement "there is a 40% chance of rain today" means that there is a probability of 0.4 (or 40%) that it will rain today.

Probability is a measure of the likelihood or chance of an event occurring, and it ranges from 0 (impossible) to 1 (certain).

In this case, a probability of 0.4 means that out of 10 similar days with similar weather conditions, we would expect it to rain on 4 of those days.

However, if the weather conditions change or new information becomes available, the probability of rain may increase or decrease.

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Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.

Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:

sin(30) = w/60 and cos(30) = l/60

sin(60) = l/60 and cos(60) = w/60

Simplifying each equation, we get:

w = 30√3 and l = 30

Therefore, the area of the rectangle is:

Area = l x w = (30)(30√3) = 900√3 square inches.

Hence, the area of the rectangle in simplified radical form is 900√3 square inches.

Answer:

"I think of a number, take away 1 and multiply the result by 3" can be written algebraically as:

3(x - 1)

where x is the unknown number that is being thought of.

We subtract 1 from x because the problem asks to "take away 1", and then we multiply the result by 3 because the problem asks to "multiply the result by 3".

So the expression 3(x - 1) represents the result of thinking of a number, taking away 1, and multiplying the result by 3.

The measure of a central angle of a regular polygon with 24 sides is 15 degrees.

A polygon is a two-dimensional geometric shape that is defined by a closed chain of line segments, also known as sides. These line segments must be joined end to end to form a closed shape, with no curves or self-intersections. The word "polygon" comes from the Greek words "poly" meaning "many" and "gon" meaning "angle".

To find the measure of a central angle of a regular polygon with 24 sides, we can use the formula:

central angle = 360 degrees / number of sides

Substituting the given value, we get:

central angle = 360 degrees / 24 = 15 degrees

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