Kayla determines the remainder of 4x37+12x15−2x4−28x+1 , using the remainder theorem.


How does she proceed to the correct answer?


Drag a value into each box to correctly complete the statements.


Kayla evaluates the numerator of the rational expression when ___. She concludes that the remainder of the division is ____.


the options are x = -1, x = 0, x = 1, and -46, -22, -20, -16

The area of Dimitris table top represents the product of its length and width. In order for the area to be a whole number of square feet, both the length and width must be decimal numbers with one decimal place.

To illustrate this, let's consider an example. Suppose the length of the table top is 3.5 feet and the width is 2.4 feet.

To find the area, we multiply the length by the width:

3.5 feet * 2.4 feet = 8.4 square feet

In this case, the area is not a whole number of square feet, as it has a decimal value of 8.4.

If we adjust the dimensions slightly, we can find a solution where the area is a whole number. For example, let's change the length to 3.0 feet and the width to 2.5 feet:

3.0 feet * 2.5 feet = 7.5 square feet

Now, the area is a whole number of square feet, as it equals 7.
Yes, the length and width of Dimitris table top can be decimal numbers each with one decimal place, as long as the dimensions are chosen such that the product of the length and width is a whole number of square feet.

When we talk about the area of an object, we are referring to the amount of space it occupies. In this case, we are looking at the area of Dimitris table top, which can be calculated by multiplying its length and width. The question asks whether the length and width can be decimal numbers each with one decimal place, while still resulting in a whole number of square feet. To explore this, we can use some examples.

If we choose dimensions such as 3.5 feet for the length and 2.4 feet for the width, the area will not be a whole number, as it would be 8.4 square feet.

However, by adjusting the dimensions slightly, we can find a solution. For instance, if we set the length to 3.0 feet and the width to 2.5 feet, the area becomes 7.5 square feet, which is a whole number.

Therefore, it is possible for the length and width to be decimal numbers with one decimal place, as long as their product results in a whole number of square feet.

The length and width of Dimitris table top can be decimal numbers with one decimal place, as long as their product is a whole number of square feet.

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P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

1. w=-24

2. g=3

Step-by-step explanation:

Quinn is currently 38 years old.

Let's start by using variables to represent their ages.

Let Q be Quinn's current age and B be Banu's current age.

We know that Quinn is 7 years older than Banu, so we can write:

Q = B + 7

In 3 years, their ages will increase by 3, so we can write:

(Q + 3) + (B + 3) = 75

Now we can substitute Q = B + 7 into the second equation:

(B + 7 + 3) + (B + 3) = 75

Simplifying the left side:

2B + 13 = 75

Subtracting 13 from both sides:

2B = 62

Dividing both sides by 2:

B = 31

So Banu is currently 31 years old. Using Q = B + 7, we can find Quinn's age:

Q = 31 + 7 = 38

Therefore, Quinn is currently 38 years old.

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Answer:

360

Step-by-step explanation:

360 calories:

90/(3/4)=120 (calories in one cup)...

120*3=360

Answer: D = 360 calories

Step-by-step explanation:

90 divided by 3/4 = 120

so you would multiply 120 by 3 to get your answer

120 * 3 = 360

The equation of the line in standard form with integer coefficients is 2x + 7y = 28.

To write the equation of the line in standard form with integer coefficients, we need to eliminate any fractions.

Given the equation: y = -(2/7)x + 4

To eliminate the fraction, we can multiply the entire equation by 7 to get rid of the denominator:

7y = -2x + 28

Next, we want to rearrange the equation so that the variables (x and y) are on one side and the constants are on the other side:

2x + 7y = 28

So, the equation of the line in standard form with integer coefficients is 2x + 7y = 28.

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The number of soda bottles the machine can make each minute is 50

The graph that completes the question is added as an attachment

Also from the question, we have the following coordinate points

​(​2,​100) and ​(​5,​250)

Rewrite the above points properly

So, we have the following ordered pairs

​(​2, ​100) and ​(​5, ​250)

The number of soda bottles the machine can make is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = ​(​2,​100) and ​(​5,​250)

Substitute the known values in the above equation

So, we have the following equation

Slope = (250 - 100)/(5 - 2)

Evaluate the difference

Slope = (150)/(3)

Evaluate the quotient

Slope = 50

Hence, the the number of soda is 50

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Answer:

Q 1- 15, just multiply 5 x 2 = 15

Q 2- 36, just multiply 8 x 12 = 36

Q 3- y= -2x

Q 4- 1200

Q 5- 20

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

Article 2 is less than Rs.26700.15617

The function round(price, 0) is used to round a given number (in this case, the price) to a specified number of decimal places (in this case, 0). When you use round(24.95, 0), the function will round the price to the nearest whole number. In this scenario, 24.95 will be rounded up to 25, not 24.

Yes, that is correct. The function round(price,0) rounds the price to the nearest whole number. In this case, 24.95 is rounded down to 24. However, it's important to note that this function always rounds to the nearest whole number, so if the price was 24.5 it would also round down to 24, whereas if the price was 24.6 it would round up to 25. It's also worth mentioning that there are other rounding functions that can be used to round to different levels of precision, such as rounding to the nearest tenth or hundredth.

Overall, rounding is an important tool in many areas of math and statistics, as it allows us to simplify numbers and make calculations easier to work with.
 

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Answer:

c

Step-by-step explanation:

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

Answer:

2.54x10⁹ J

Step-by-step explanation:

0.77 km = 770 m

only the y (north) components of the forces are doing work (Fy)

Work = W = Fy(d)

W = 2(1.7x10⁶ N)(cos14)(770 m) = 2.54x10⁹ J

Answer:in decimal form it is 0.12. in 12/100

Step-by-step explanation:

Answer: D: absolute value

Step-by-step explanation:

The parent function does the equation f(x) = √c represent is,

⇒ Square root

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ f (x) = √ c

Now, We get;

The parent function does the equation f(x) = √c represent is,

⇒ Square root

Because its write in square root.

Thus, The parent function does the equation f(x) = √c represent is,

⇒ Square root

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The equation of the new graph is f(x) = 9^(x - 2)

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

f(x) = 9^x

Also, we have

shifted 2 units to the right,

This is represented as

(x, y) = (x - 2, y)

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

f(x) = 9^(x - 2)

Hence, the function is f(x) = 9^(x - 2)

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Answer:

1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

Final answers:

Explanations

Answer:

x=(y+b)/a

Step-by-step explanation:

y=ax-b

y+b=ax

(y+b)/a=x

The F ratio in a completely randomized ANOVA is a) MSTR/MSE.

The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.

The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.

In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.

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Answer:

6 1/5

Step-by-step explanation:

six and one fifth girl no cap

and that's on mary had a lil lamb

Answer:

\(51 \frac{1}{5} ~ laps\)

Step-by-step explanation:

\(\frac{laps}{hours} =\frac{x}{1}=\frac{12\frac{4}{5} }{\frac{1}{4} }\)

\(x=\frac{\frac{64}{5} }{\frac{1}{4} }\)

\(x=\frac{64}{5}*\frac{4}{1}\)

\(x=\frac{256}{5} =5 \frac{1}{5}\)

------------------------------

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The person who drink more water is Troy and he drinks 0.3 L more than Whitney

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem, we have to do the conversion of units with the given information:

Information about the problem:

By converting the unit from mL to L, we have:

1500 mL * (1 L / 1000 mL ) = 1.5 L

Comparing the volume of water that Whitney and Troy drink we have:

1.8 L > 1.5 L

Troy > Whitney

Troy drinks more water than Whitney

Calculating how much water Troy drinks more, we get:

Volume difference = Troy - Whitney

Volume difference = 1.8 L - 1.5 L

Volume difference = 0.3 L

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