help me plzzzzzzzzzzzzzzzzzzzz

Answer:

11.43 seconds

Step-by-step explanation:

80/7 = 11.428 = 11.43( nearest hundredth)

The interest rate is 5%

Compound interest is the interest earned not only on the principal amount of a loan or investment, but also on any accumulated interest that has been added to the principal over time. In other words, it is interest that is earned on both the initial investment and on the interest earned in previous periods.

We know that for the compound interest;

A = P(1 + r/n)^nt

7193.58 = 6500(1 + r)^2

7193.58/6500 = (1 + r)^2

1.1 = (1 + r)^2

ln 1.1 = 2ln 1 + r

ln1.1/2 = ln 1 + r

0.048 = ln 1 + r

1 + r = e^0.048

r = 1.05 - 1

r = 0.05

r = 5%

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The probability in a random 5-letter string that the letters A and B will be next to each other is 0.4

For A and B to be next to each other in the string of letters, consider the AB combination as a single letter. Then there are 4 letters AB, C, D, E.

There are 4! number of ways to arrange these 4 letters.

4!= 24 ways

We know AB can be arranged in 2 ways ( AB or BA)

Thus there are 2*4! = 2 * 24 = 48 ways of arranging the letters such that AB are next to each other in the random Five-letter string

The total number of letters in the set is 5 and hence the total number of ways the letters can be arranged without A and B necessarily being next to each other  is 5!= 120

The probability that in the random five-letter string( in which each letter appears only once with all such strings equally likely) the letters A and B are next to each other= 48/120 = 0.4

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Answer: 9+a^2 if d=10 OR 99 if d does not equal 10

Answer:

223.6 square units. or 223.569 square units

Answer:A

Step-by-step explanation:I took the test

Answer:

-2

Step-by-step explanation:

Found the point (0,-1), then it goes up 2, left 1. Slope is equal to rise over run, which means the slope becomes 2/-1, or -2,

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Answer:

The result is 2 hours

Hope this helped!

The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

100 students

Step-by-step explanation:

10% of students in 7th grade ----- 10 students

Divide by 10 on both sides:

1% of students in 7th grade ----- 10 ÷10= 1 student

×100 on both sides:

100% of students in 7th grade ----- 1 ×100= 100 students

Answer:100

Step-by-step explanation:

Answer: Teo is 9 years old and Richard is 27 years old.

Step-by-step explanation:

First of all, create expressions which represents Teo's and Richard's age:

x = Teo's Age

2x + 9 = Richard's Age

Now create an equation which can be used to find Teo's age and Richard's Age:

(x) + (2x)+9 = 33

(x) + (2x) = 24

3x = 24

x = 9

From this, we can conclude that Teo is 9 years old.

Now substitute 9 into Richard's Age expression which is 2x+9

2*9+9 = 27

From this, we can conclude that Richard is 36 years old.

Given, A + B = 90°

Putting values, we get

7x + 4 + 4x + 9 = 90°

11x + 13 = 90°

11x = 90 - 13 = 77°

x = 7°

Now, m<A = 7x + 4

= 7(7) + 4 = 53°

Hope this helps :)

Answer:

m∠A = 53°

Explanation:

complement angle: : two angles that add up to 90 degrees.

solve:

7x + 4 + 4x + 9 = 90

7x + 4x = 90 - 9 - 4

11x = 77

x = 7

Find m∠A:

7x + 4

7(7) + 4

49 + 4

53°

Answer: \((y-1)=\dfrac{3}{2}(x+3)\)

Step-by-step explanation:

Slope of the given line passing through (-2,-4) and (2,2) :

m=  \(\dfrac{y_2-y_1}{x_2-x_1}\)

\(=\dfrac{2-(-4)}{2-(-2)}\\\\=\dfrac{2+4}{2+2}=\dfrac{6}{4}\\\\=\dfrac{3}{2}\)

Parallel lines has same slope . That means  slope of required line would be \(\dfrac{3}{2}\).

Equation of a line passing through (a,b) and has slope 'm' is given by :_

\((y-b)=m(x-a)\)

Now, Equation of a line passing through(-3, 1) and has slope '\(\dfrac{3}{2}\)' is given by

\((y-1)=\dfrac{3}{2}(x-(-3))\\\\\Rightarrow\ (y-1)=\dfrac{3}{2}(x+3)\ \ \to \text{Required equation in point slope form.}\)

The population of a city can be modeled by a radical function, P(x) = 55,000 √x - 1945, where x represents the year and P(x) represents the population in that year.

The year 1945 has been subtracted from x in order to simplify the equation and make it easier to interpret.

In this particular problem, we are asked to find the year in which the population of the city was 275,000. To do this, we need to solve for x in the equation:

55,000 √x - 1945 = 275,000

The first step is to isolate x on one side of the equation. We can do this by adding 1945 to both sides:

55,000 √x = 275,000 + 1945

Next, we need to get rid of the square root symbol. One way to do this is to square both sides of the equation:

x = (275,000 + 1945) / 55,000^2

The square root has been eliminated, but the equation still doesn't give us x in a form that is easy to interpret. To get x in a more useful form, we can take the square root of both sides:

√x = √((275,000 + 1945) / 55,000^2)

So, the year in which the population of the city was 275,000 is approximately x + 1945 = 1976.

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Answer:

Step-by-step explanation:

Each triangle has a formula of 1/2 a*b

So one triangle = 1/2 * 12 * 15 = 90

So the other one is the same area of 90 square feet.

Together they make 180 square feet.

You can check this by simply multiplying  a*b = 12 * 15 = 180 square feet.

Answer:

It would end at 9:38

Step-by-step explanation:

but obviously it is not one of the answer choices, so I would go with 9:42

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

Answer

\( \frac{ 6 {y}^{4} {w}^{2} }{{x}} \)

Step-by-step Explanation

\( \huge \frac{12 {x}^{3} {y}^{6} {w}^{5} }{ 2{x}^{4} {y}^{2} {w}^{3} } \\ \\ \huge= \frac{6 {x}^{3} {y}^{6} {w}^{5} }{{x}^{4} {y}^{2} {w}^{3} } \\ \\ \huge = 6 {x}^{3 - 4} {y}^{6 - 2} {w}^{5 - 3} \\ \\ \huge= 6 {x}^{ - 1} {y}^{4} {w}^{2} \\ \\ \huge = \frac{ 6 {y}^{4} {w}^{2} }{{x}^{1}} \\ \\ \huge = \frac{ 6 {y}^{4} {w}^{2} }{{x}} \)

Answer:

\(\frac{6w^2 y^4}{x}\)

Step-by-step explanation:

\(\frac{12x^3 y^6 w^5}{2x^4 y^2 w^3}\)

\(= \frac{12w^5 x^3 y^6}{2w^3 x^4 y^2}\)

\(= \frac{12w^2 y^4}{2x}\)

\(= \frac{6w^2 y^4}{x}\)

Hope this helped you!

Answer:

Rs. 25,468.8

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

P = principal = RS. 24,000

r = interest rate = 4%= 0.04

n = number of periods = 2

t = years = 1 year and 6 months = 1.5 years

A = p(1 + r/n)^nt

= 24,000(1 + 0.04/2)^2*1.5

= 24,000(1 + 0.02)^3

= 24,000(1.02)^3

= 24,000( 1.0612)

= 25,468.8

A = Rs. 25,468.8

The population density of the neighborhood of 1250 people in people per square mile is 1534 people per square mile

Population density is the number of people per unit area of a location.

The population density is the number of people per square mile in the neighborhood

The population of the neighborhood = 1,250 people

The number of city blocks in the neighborhood = 30

The length of each city block = (1/16) mile

The width of each neighborhood = (1/8) mile

The area of each neighborhood = (1/16) × (1/8) = 1/128 square miles

The area of the whole neighborhood = 30 × 1/128 = 15/64 square miles

The population density = 1250/(15/64) = 16,000/3 ≈ 5334 people per square mile (rounding up)

The number of people per square mile, the population density, therefore is 5333 people per square mile

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The ∠DAB + 2∠ABC = 180∠DAB + ∠ABC = 90This proves that the consecutive angles of a parallelogram are supplementary.

A parallelogram is a four-sided geometric shape with two pairs of parallel sides.

The opposite angles of the parallelogram are equal, and the consecutive angles are supplementary. Here's how we can prove that the consecutive angles of a parallelogram are supplementary:

Let's assume we have a parallelogram ABCD where AB is parallel to CD and AD is parallel to BC. Let's assume that ∠DAB and ∠ABC are consecutive angles.

∠DAB + ∠ABC = ∠BAD (The sum of the angles in triangle ABD)Also, ∠BAD + ∠BCD = 180 (The sum of the angles in triangle BCD)

Therefore, ∠DAB + ∠ABC + ∠BCD = 180Since AB is parallel to CD, we know that ∠ABC and ∠BCD are equal.

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Answer: A

Step-by-step explanation: 27+9 = 36

Answer:

its an odd

Step-by-step explanation:

The leading coefficient is negative

hope this helps

With given simple interest, the interest earned is $280 and the balance of the account after 4 years is $2280.

What is simple interest?

Simple interest is a way of calculating interest on a loan or investment that just considers the initial principle amount. Simply said, simple interest is a fixed percentage of the principle amount that is added to the initial amount over time.

I = P * r * t is the formula for simple interest.

Now,

a. The interest earned can be found using the formula:

I = P * r * t

Where I is the interest earned, P is the principal amount, r is the interest rate per year as a decimal, and t is the time in years.

In this case, P = $2000, r = 0.035, and t = 4.

I = 2000 * 0.035 * 4 = $280

Therefore, the interest earned on the sum is $280.

b. The balance of the account after 4 years can be found by adding the interest earned to the principal:

Balance = Principal + Interest

Balance = $2000 + $280 = $2280

Therefore, the balance of the account after 4 years is $2280.

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Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470