Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours

The solution to the problem using Associative Property is; 5x² + 5x + 9

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

For example, a + (b + c) = (a + b) + c. This means that no matter how the numbers are grouped, the sum of both the expressions remains the same.

We are given the expression;

(3x + 4) + (5x² - 1) + (2x + 6)

Using associative property, we have;

5x² + (3x + 2x) + (4 - 1 + 6)

⇒ 5x² + 5x + 9

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Answer:

-16t^2 + 120t + 50

Step-by-step explanation:

Using the given values, we can write the model for this situation as:

h(t) = -16t^2 + 120t + 50

To determine how long it takes the thrown object to reach maximum height, we need to find the time at which the object reaches its maximum height. The maximum height occurs at the vertex of the parabolic path, which is given by:

t = -b / 2a

where a = -16, b = 120.

Substituting these values, we get:

t = -120 / 2(-16) = 3.75 seconds

Therefore, it takes 3.75 seconds for the thrown object to reach maximum height.

Answer:

a = - 5

Step-by-step explanation:

Given

0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side

7a + 23 = - 6a - 42 ( add 6a to both sides )

13a + 23 = - 42 ( subtract 23 from both sides )

13a = - 65 ( divide both sides by 13 )

a = - 5

Answer: a=(-5)

Steps:

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Approximately 9.5% of the racers did not complete the marathon.

The total of those who quit and those who were disqualified represents the number of runners who did not finish the marathon

Number who did not complete = 12 + 8 = 20

To find the percentage of racers who did not complete the marathon, we need to divide this number by the total number of racers who started the marathon (210) and multiply by 100

Percentage who did not complete is

= (20 / 210) x 100

= 9.523%

Rounding this to the nearest tenth of a percent gives us a final answer of 9.5%. Therefore, approximately 9.5% of the racers did not complete the marathon.

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Answer:

It will be positive.

Step-by-step explanation:

When you multiply the two negative numbers or two positive numbers the answer will always be positive. one positive and one negative, the answer will be negative.

We can use the distributive property to expand the left side of the equation, which will give us YZ + XY.

Property is a term used to describe an individual's ownership of something tangible or intangible. Property can include real estate, such as a house or land, or personal property, such as furniture, vehicles, and jewelry. Property can also include intangible items such as copyrights, patents, trademarks, and trade secrets. When property is owned, it is the responsibility of the owner to protect it from damage, destruction, theft, or other losses.

We can then use the given equation to substitute WX for YZ on the right side, which will give us WY. Therefore, YZ + XY = WY.

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If 180 liters of fluid enter the kidneys each day, about 178 liters of fluid will be reabsorbed by the kidneys each day.

The kidneys play a crucial role in filtering and regulating fluid balance in the body. On average, approximately 180 liters of fluid enter the kidneys each day through the process of filtration. However, not all of this fluid is excreted as urine. The majority of it, around 99%, is reabsorbed back into the bloodstream.

The reabsorption process occurs in the renal tubules, where essential substances such as water, electrolytes, and nutrients are selectively transported back into the bloodstream while waste products and excess substances are removed for eventual excretion.

Therefore, out of the initial 180 liters that enter the kidneys, around 178 liters are reabsorbed, leaving only a small amount (approximately 2 liters) to be excreted as urine.

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The unit price per folder of 1 box at the regular price is $0.2996. The unit price on the special offer is $0.2397. The special offer is the better buy since it offers a lower unit price per folder.

To calculate the unit price per folder of 1 box at the regular price, we divide the regular price ($7.49) by the total number of folders in a box (25). The unit price per folder at the regular price is $0.2996.

For the special offer of buy one get one free, we consider that for every box purchased, an additional box is received for free. Therefore, the total cost is still $7.49, but the total number of folders is doubled to 50. Dividing the total cost by the total number of folders, we find that the unit price per folder on the special offer is $0.2397.

Comparing the two unit prices, we see that the unit price on the special offer is lower than the unit price at the regular price. Therefore, the special offer is the better buy since it provides a lower unit price per folder.


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Answer:

y=6x-2

Step-by-step explanation:

I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)

Answer:

y=1.2x-2

Step-by-step explanation:

add 6x to both sides (5y = 6x-10)

divide both sides by 5 (y = 1.2x - 2)

one point you will find on (0,-2) and another point will be (5,4)

you need at least 2 points to graph the line

Answer:

24

Step-by-step explanation:

LCD = 24

Equivalent Fractions with the LCD

1/3 = 8/24

5/8 = 15/24

Answer:

A=5.28? B=8 C=12 D=5.28? E=85 X=40 Y=20

Step-by-step explanation:

The Ratio of the length of the drama to the length of the  comedy is 21:11

The Ratio of two events is defined as the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. We simply divide one number to the other.A relationship between two quantities, normally expressed as the quotient of one divided by the other is understood by ratio.

As in the given problem the action comedy time is given as 88 minutes and award winning historical drama is 2.8 hours or 168 minutes(each hour consists of 60 minutes). Thus the ratio of the length of the drama to the length of the comedy is 168:88 or 21:11.

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Based on the provided information, on a scale drawing the length of the building on the scale drawing is 16 centimeters.

To find the length of the building on the scale drawing in centimeters, we need to use the concept of scale factor. Scale factor is the ratio of the length of a drawing or model to the length of the actual object.

In this case, the scale factor is 25 cm / 125 m = 0.2 cm/m.

Now, we can use the scale factor to find the length of the building on the scale drawing. We just need to multiply the actual length of the building by the scale factor:

Length on scale drawing = Actual length × Scale factor

Length on scale drawing = 80 m × 0.2 cm/m

Length on scale drawing = 16 cm

Therefore, the length of the building on the scale drawing is 16 centimeters.

Note: The question is incomplete. The complete question probably is: A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters. What is the length of the building on the scale drawing in centimeters?

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Answer:

  28.5 m/s

Step-by-step explanation:

Given that power is 1400 W when speed is 25 m/s, and power is proportional to the square of speed, you want the speed when the power is 1820 W.

Since power is proportional to the square of speed, the ratio of speed squared to power is a constant:

  s²/P = 25²/1400 = x²/1820

where x is the unknown speed.

We can find the value of x by multiplying by 1820 and taking the square root:

  x² = 25²(1820/1400)

  x = 25√(1820/1400) = 25√1.3 ≈ 28.5 . . . . m/s

The speed is 28.5 m/s when the power is 1820 watts.

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Done

Step-by-step explanation:

Missing reasons:

The value for k has to be taken, to ensure that the probability, that - when we take a distance measurement y in practice - this distance measurement lies inside the interval [x – ko, x + ko), equals 99% is  0.516.

To find the value of k that ensures that the probability that the distance measurement lies inside the interval [x – ko, x + ko) equals 99%, we can use the standard normal distribution table.

First, we need to find the z-score that corresponds to the 99% probability. This is found by looking at the standard normal distribution table and finding the z-score that corresponds to a cumulative probability of 0.995 (since the probability is split between both sides of the mean, we need to look for 0.995 instead of 0.99).

The z-score that corresponds to 0.995 is approximately 2.58.

Now, we can use the formula for the z-score to find the value of k:

z = (y - x)/o

Since we are looking for the value of k that corresponds to the interval [x – ko, x + ko), we can plug in the values for the z-score and the standard deviation:

2.58 = (x + ko - x)/0.2

Solving for k, we get:

k = 2.58 * 0.2

k = 0.516

Therefore, the value for k that ensures that the probability that the distance measurement lies inside the interval [x – ko, x + ko) equals 99% is 0.516.

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The probability to form a triangle using the endpoints of the sticks is 3/35 or approximately 0.0857 (rounded to four decimal places).

Length of the seven sticks in inches = 2, 3, 5, 7, 11, 13, and 17.

Number of sticks selected randomly = 3

To determine the probability of forming a triangle by randomly selecting three sticks from the given set,

Consider the triangle inequality theorem.

According to the theorem, for a triangle to be formed,

The sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

Let us analyze the possibilities,

Selecting sticks with lengths 2, 3, and 5,

In this case, we can form a triangle because 2 + 3 > 5, 3 + 5 > 2, and 5 + 2 > 3.

Selecting sticks with lengths 2, 3, and any other stick greater than 5,

As the longest stick is greater than the sum of the two smaller sticks (2 + 3), we can form a triangle.

Selecting sticks with lengths 2, 3, and the longest stick (17),

In this case, we cannot form a triangle because 2 + 3 is not greater than 17.

In total, there are 3 possible combinations that can form a triangle out of the total 7C3 = 35 combinations selecting 3 sticks out of 7.

Probability

= favourable outcomes / total number of outcomes

= 3/ 35

Therefore, the probability of forming a triangle is 3/35.

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Answer:

the answer is 38 hope its helpful for you hope you get it right good luck

Step-by-step explanation:

Answer:

The best estimate for the percent equivalent to 3/8 is 37%.

Step-by-step explanation:

3/8=100*3/8%=75/2=37.5%.

Answer: 5

Step-by-step explanation:

You could multiply every number but that would take too much time

Instead you have to logic through the problem

Numbers in multiplication follow cyclical sets. i.e. the ones place in the multiples of 3 goes 3,6,9,2,5,8,1,4,7,0,3 forever. (That is why 3 is a "mod 10" number there are 10 possible 1s place values)

The helpful number here is 5

5 is mod 2 because any multiple ends in a 5 or a 0. Given that you are doing all of the odd numbers, five times any odd number will end in a 5, and any odd number ending in 5 times another odd number will also end in 5 so the ones place for all odd numbers multiplied from 1 to 2023 is 5.

When multiplying all the odd numbers from 1 to 2023, inclusive, the last digit of the product will be 5. This is based on the pattern observed in the last digits of the products of odd numbers.

In mathematics, specifically in number theory, we often make use of patterns to solve problems. When you're asked to find the last digit of the product when you multiply all the odd numbers from 1 to 2023, inclusive, it is helpful to look for a pattern in the last digits of the products of odd numbers.

Let's start small. The first five odd numbers are 1, 3, 5, 7, and 9. The product of these numbers is 945, and the last digit, or unit digit, is 5. Let's add another odd number to the product, 11. The product becomes 10395, and again, the unit's digit is 5. As you can see, the pattern is that no matter how many odd numbers you multiply together, the unit's digit (or the last digit) of the product is always 5.

Therefore, when you multiply all the odd numbers from 1 to 2023, inclusive, the last digit of the product will be 5.

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If a < b, then multiplying both sides of the inequality by -4 will reverse the direction of the inequality. The resulting inequality will be:

-4a > -4b

This is because multiplying a negative number by a negative number results in a positive number, and multiplying a positive number by a negative number results in a negative number. Therefore, the inequality must be reversed when both sides are multiplied by a negative number.

F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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Answer:

Convert fraction (ratio) 7 / 10 Answer: 70%

Answer:

70%

Step-by-step explanation:

To find percentage = fraction * 100

                                = 7/10 * 100

                                = 0.7 * 100

                                = 70%

Answer:

x=9

Step-by-step explanation:

plug in the number 9

-2(9)= -18

-18+3= -15

Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

\(\frac{220}{5}x=352\)

Multiply both sides by 5

\(220x=1760\)

Divide both sides by 220

\(x=8\)

Therefore it would take 8 hours.

8 Hours long would it take to travel 352 miles,

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Hence, it would take 8 hours.

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Answer:

B

Step-by-step explanation:

Answer: Gained 3 Yards

Step-by-step explanation:

1) -5

2) +8

3) -5+8 = 3

This would mean 3 yards were gained overall since it's in the positive.