evaluate the integral below by interpreting it in terms of areas in the figure. the areas of the labeled regions are a1

Answer:

Ans= {0,1,2,3,4,5,6,7,8,9,10}

Step-by-step explanation:

Union of set A, B, C

A={0,2,4,6,8,10}

B={0,1,2,3,4,5,6}

C={4,5,6,7,8,9,10}

Union={0,1,2,3,4,5,6,7,8,9,10}

Answer:

42

Step-by-step explanation:

Given m and n are parallel:

x + 138 = 180 because these angles are supplementary

subtract 138 from both sides

x = 42

Answer:

Angle 6 = 70

Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.

Answer:

5 to the power of 9

Step-by-step explanation:

You have 5^7 over 5^-2.

The 5^-2 on the bottom can be handled by moving the whole thing UP across the fraction bar. This makes the -2 exponent into a positive 2 exponent.

5^7 / 5^-2

= 5^7• 5^2

Now, to multiply these, ADD the exponents.

5^7•5^2

= 5^9

Answer:

The point-slope form equation y - 3 = 5(x + 3) can be rewritten as y = 5x + 18. This equation represents a straight line that passes through the point (0,18) and has a slope of 5.

The point (-1,14) does not fall on this line because plugging the x- and y-coordinates of this point into the equation does not produce a true statement.

The point (-3,3) does not fall on this line because plugging the x- and y-coordinates of this point into the equation does not produce a true statement.

The point (-2,-8) does not fall on this line because plugging the x- and y-coordinates of this point into the equation does not produce a true statement.

Point (1,13) does not fall on this line because plugging the x- and y-coordinates of this point into the equation does not produce a true statement.

Therefore, none of the given points fall on the line produced by the point-slope form equation y - 3 = 5(x + 3) when graphed.

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

Answer:

$109.68

Step-by-step explanation:

92.95 ÷ 100 = .9295

.9295 x 18 = 16.73

92.95 + 16.73 = 109.68

Have a good day I hope this helped! Can get a brainiest if right?

Answer:

y= -2

X= 7

\(using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2\)

We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Answer:

12 ÷ 0.03 move two places to the right

12÷3

4

Answer:

Yes it is.

Step-by-step explanation:

If you distribute you will get the same answer, 3x-18 because 3 times x is 3x and 3 times 6 is 18.

Hope this helps!!

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

x < 11    &   x < 12

Step-by-step explanation:

x - 3 < 8 and 6x < 72

x < 11    &   x < 12

First term, a = 6

Common difference, d = 4

Using the formula :

an = a + (n - 1) d

an = 6 + (n - 1) 4

an = 6 + 4n - 4

an = 2 + 4n

nth term = 2+4n

Answer:

A.

Step-by-step explanation: ive done it before

(3years ago)

To prove that ΔUVW and ΔXYZ are similar by the SSS Similarity Theorem: a. show that the ratios UV/XY, WU/ZX, and WV/ZY are equivalent.

What is the SSS Similarity Theorem?

The SSS Similarity Theorem states that two triangles are similar if the ratio of all three pairs of corresponding sides of two triangles are equivalent.

Given ΔUVW and ΔXYZ, where:

UV corresponds with XY, thus UV/XY = 50/40 = 1.25

WU corresponds with ZX, thus WU/ZX = 40/32 = 1.25

WV corresponds with ZY, thus WV/ZY = 60/48 = 1.25

Since all the ratio of all three corresponding sides of both triangles are equivalent, therefore both triangles can be proven to be similar by the SSS Similarity Theorem.

Therefore, to prove that ΔUVW and ΔXYZ are similar by the SSS Similarity Theorem: a. show that the ratios UV/XY, WU/ZX, and WV/ZY are equivalent.

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1) $636

2) $33,072

Percents and decimals can be used together to answer questions about proportions of a number.

One Week

First, we need to find how much Alexander made in commission over one week. We are told that he earns 12% and sold $5,300 of stock. So, we need to find 12% of 5,300.

To find a percentage of a number, we can multiply by the decimal. To turn a percentage into a decimal, move the decimal 2 spots to the right. This means that 12% = 0.12. Then, multiply the whole number by that decimal.

Alexander made $636 in commission in one week.

Commission in a Year

Remember that 1 year = 52 weeks.

If Alexander averaged $636 every week, then we can just multiply 636 by 52 to find his income in a year.

So, he made $33,072 in one year.

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Hey there!☺

\(Answer:\boxed{48x+24}\)

\(Explanation:\)

\(-12(-2-4x)\)

You will need to simplify the expression to solve.

\(-12(-2-4x)\\48x+24\)

\(48x+24\) is your final answer.

Hope this helps!

Answer:

Jane's share of the cost is £156

Step-by-step explanation:

Since the cost is to be shared equally amongst the 6 friends, to get the amount to be paid by Jane, we must work out the total cost to be incurred first.

Total cost = £216 + £404 + £316

= £936

Since there are 6 friends willing to bear this cost equally, the amount to be paid by Jane

= £936/6

= £156

Answer:

40

Step-by-step explanation:

1LB = 16 Ounces

5/2= 2.5

So

16+16 = 32

16/2 = 8

32+8=40

Answer:

40

Step-by-step explanation:

1 pound is equal to 16 ounces

so 5/2 x 16 is 40

Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

The slope of a line that goes through both \((-2,\, 7)\) and \((2,\, -5)\) would be \((-3)\).

Step-by-step explanation:

The slope of a line is the ratio between rise and run between these two points.

The rise between two points is the change to the corresponding \(y\) coordinates. Between \((-2,\, 7)\) and \((2,\, -5)\), the rise would be \((-5) - 7 = (-12)\) (subtract the first \(y\!\)-coordinate from the second.)

The run between two points is the change to the corresponding \(y\) coordinates. Between \((-2,\, 7)\) and \((2,\, -5)\), the rise would be \(2 - (-2) = 4\) (likewise, subtract the first \(x\)-coordinate from the second.)

Hence, the slope of this line would be:

\(\begin{aligned} \frac{\text{rise}}{\text{run}} &= \frac{-12}{4} = -3\end{aligned}\).

Answer:

B

Step-by-step explanation:

Trapezoids have only one pair of parallel lines.        

Answer: A.

Step-by-step explanation: First of all there is 24 hours in 1 day. You do 4800 miles divided by 40 miles and you get 120 miles. Then you do 120 miles divided by 24 hours and you get 5 days.

Answer:

Step-by-step explanation:

First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.

24 feet = 8 yards (since 1 yard = 3 feet)

So the dimensions of the room are 8 yards x 1 yard.

The area of the room is 8 x 1 = 8 square yards.

The cost of the carpeting per square yard is $9.97.

So, the estimated cost of the carpeting would be:

8 x $9.97 = $79.76

Rounding this to the nearest cent gives an estimated cost of $79.76.

Answer:

C. (x + 4)(x + 5)

Step-by-step explanation:

It shows I got it correct on edge

Answer:

C

Step-by-step explanation:

(x + 4)(x + 5)

Answer:

Step-by-step explanation:

1¾ cup/batch

1½ batches × 1¾ cup/batch = 1½×1¾ cups = 2⅝ cups

Answer: 2 5/8 cups of flour

Step-by-step explanation:

1 3/4 x 1 1/2 =  7/4 x 3/2 = 21/8 = 2 5/8 cups

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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