What fraction is 10 minutes of an hour.

Answer: 9 times as large

Step-by-step explanation:

the original area: 15×15=225

the new area: (15×3)(15×3)=2025

2025/225=9

Hope this helps!! :)

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Answer: $12,240

Step-by-step explanation:

Assuming this is using accurate taxing numbers from a 1099 form in 2019, up to $143,000 you will be taxed 15.3%.

We can then use this number by first converting it to a decimal by diving the percent by 100:

\(\frac{15.3}{100} = .153\)

You can then multiply the net earning by this value to find the portion being paid in taxes:

\(.153 * 80,000 = 12240\)

Hope this helps

Answer:

I believe it is 114

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The interior angles means the angles inside the triangle

Answer:

3

Step-by-step explanation:

$25×6.50=152.5

50÷13=0.26

On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.

Here we have the function:

y = cos(2*(x + pi))

First, let's distribute the product in the argument of the cosine:

y = cos(2x + 2pi).

Now, notice that 2pi is the period of a cosine function, then:

cos(2x)  = cos(2x + 2pi)

Then we can write:

y = cos(2x)

Now, the y-intercept is:

y = cos(2*0) = 1

And because the factor of 2 inside the argument, it goes through 2 cycle at 2pi (instead of 1 cycle, like a normal cosine).

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi."

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Answer:

D

Step-by-step explanation:

Because i said so.

Answer:

2 is the common ratio

Step-by-step explanation:

Common ratio is obtained by dividing any term from it's previous term.

1 ÷ 1/2 = 2

2 ÷ 1 = 2

Hence 2 is common ratio.

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

The value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

To evaluate the line integral ∫cf⋅dr using Stokes' theorem, we first need to find the curl of the vector field f. The curl of f is given by ∇ × f, where ∇ is the del operator.

Calculating the curl of f:

\(∇ × f = (∂/∂y)(xz) - (∂/∂z)(2y) + (∂/∂z)(xy) - (∂/∂x)(xy) + (∂/∂x)(2y) - (∂/∂y)(2y)\)

\(= x - 2 - x + 2y - y\\= -2 + y\).

Now, let's find the area of triangle C using the vertices given. The triangle with vertices (2,0,0), (0,2,0), and (0,0,2) forms an equilateral triangle in the xy-plane with side length 2.

The area of an equilateral triangle is given by\((sqrt(3)/4) * (side length)^2\), so the area of this triangle is \((sqrt(3)/4) * (2)^2 = sqrt(3)\).

Since we have the curl of f as -2 + y and the area of the triangle as sqrt(3), we can now evaluate the line integral using Stokes' theorem:

∫cf⋅dr = ∬S (∇ × f) ⋅ dS

= ∬S (-2 + y) ⋅ dS

= (-2 + y) ∬S dS

= (-2 + y) * sqrt(3).

Therefore, the value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

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Based on the relationship of angles and sides of a triangle, the correct comparison is: B. m∠C < m∠S.

The relationship between the length of a triangle and its opposite length are relative in such a way that the largest angle will be opposite to the longest side while the smallest angle will be opposite to the shortest side of the triangle.

Given the image attached below that shows triangles ABC nd TRS, we are also given that:

Length of RT is greater than length of BA, invariably, it means the angle that is opposite to side RT will be greater than the angle that is opposite to side BA.

Therefore, in comparing angle C and S, the correct statement is:

B. m∠C < m∠S

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The height of the curve for a given value of x is closely related to the probability of an observation falling in an interval around x.

The height of the curve, also known as the probability density function (PDF), represents the relative likelihood of different values occurring in a distribution. In probability theory, the area under the curve within a specific interval represents the probability of an observation falling within that interval.

Therefore, the height of the curve at a particular value of x reflects the probability of an observation being close to that value.

The concept of the PDF and its relationship to probability is fundamental in statistical analysis. By examining the height of the curve at different points, we can assess the likelihood of observing specific values or ranges of values.

This information is crucial for making inferences, estimating probabilities, and conducting hypothesis testing in various fields such as finance, biology, and social sciences.

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The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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The final answer is -1.

The definition of Imaginary Numbers is actually i2 = -1. With this definition, we can evaluate i10 by using the rules of exponents and the fact that i2 = -1. Here are the steps to evaluate i10:

1. Rewrite i10 as (i2)5 using the rule of exponents that (ab)c = abc.
2. Substitute -1 for i2 using the definition of Imaginary Numbers.
3. Simplify (-1)5 to get -1.

So, i10 = (i2)5 = (-1)5 = -1. The final answer is -1.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

x = 105

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 102 + 165 + 123 + x + 11 + 128 + 161 = 900, that is

2x + 690 = 900  ( subtract 690 from both sides )

2x = 210 ( divide both sides by 2 )

x = 105

Note that this is about proportionality. Given the above conditions, we need to buy a piece of wood that is at least 2.922 feet long. To be safe, we should probably round up to the nearest foot and buy a piece of wood that is at least 3 feet long.

To calculate how long of a piece of wood is needed for the project, we need to add up the lengths of all the required pieces of wood and account for the wasted length due to cutting.

For the 3 pieces that are 6.5 inches long, the total length required is 3 x 6.5 = 19.5 inches.

For the 2 pieces that are 2 7/8 inches long, we first need to convert 7/8 to a decimal by dividing 7 by 8: 7/8 = 0.875. So each of these pieces is 2.875 inches long. Therefore, the total length required for these pieces is 2 x 2.875 = 5.75 inches.

For the 6 pieces that are 1.75 inches long, the total length required is 6 x 1.75 = 10.5 inches.

Since 1/16 inch of wood is wasted on each cut, we need to add 1/16 inch to the length of each piece to account for the wasted wood. Therefore, the total length of wood needed for the project is:

19.5 + 5.75 + 10.5 + (11 x 1/16) = 35.0625 inches

b. If wood is sold by the foot, we need to convert the required length of wood from part a to feet. There are 12 inches in a foot, so:

35.0625 inches = 35.0625 / 12 feet ≈ 2.922 feet

Therefore, we need to buy a piece of wood that is at least 2.922 feet long. To be safe, we should probably round up to the nearest foot and buy a piece of wood that is at least 3 feet long.

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If we look at the tree diagram, we can see that we have 12 numbers, they are:

{12, 13, 16, 21, 23, 26, 31, 32, 36, 61, 62, 63}

That's our sample space, if we look at each tree we can count how many numbers has 1 or 6, on the first tree we have 2 numbers: 21 and 26. On the second tree we have three numbers: 12, 13 and 16, that's expected because the first digit is 1. For the second tree we have just two, 31 and 36. For the last tree we have three again because of the digit 6.

Therefore the probability will be how many numbers that has 1 or 6 divided by the sample space, then

The probability is

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer: D. x = 54

Step-by-step explanation:

Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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Answer:18 7/9 - 14 7/8

= 169/9 - 119/8

now you must find a common denominator

= 281/72

3 65/72 lbs

Step-by-step explanation:

Answer:

B. 2.8

Step-by-step explanation:

Pythagorean theorem

\(a^{2} + b^{2} = c^{2}\)

\(2^{2} + 2^{2} = c^{2}\)

\(8 = c^{2}\)

square root of 8 = c

2.8 = c

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer: $50,750

Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!

Answer:

the answer is 1 1/3

Step-by-step explanation:

PQ is the same length as QR

therefore you would set the equations equal to each other

10x+10= 7x+14

-7x -7x

3x+10=14

-10 -10

3x= 4

/3 /3

x=1 1/3

Answer:

Step-by-step explanation:

2+7+2 seems to be right which is 11

2+7+2 = 11 ft

πd

7π = 21.98

21.98/2 = 10.99

10.99+11 = 21.99 ft

The mistake was that however they may have solved what 7π was, it is a semi-circle so they have forgotten to half 7π

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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On solving the provided question, An expression that finds the sum of x and y => X + Y

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

An expression that finds the sum of x and y -

=> X + Y

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Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.

This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.

The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.

It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.

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