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Is this addition or division

\(\iint_{R} y^{2} d A=\int_{x=-2}^{3} \int_{y=-x-2}^{3 x+6} y^{2} d x d y d x\)

\(\text { (taking Strip as shown). }\)

\(=\int_{-2}^{3}\left(\frac{y^{3}}{3}\right)_{-x-2}^{3 x+6} d x\)

\(=\frac{1}{3} \int_{-2}^{3}(3 x+6)^{3}-(-x-2)^{3} d x\)

\(\begin{gathered}=\frac{1}{3}[4375]=\frac{4375}{3} \\=1458.33\end{gathered}\)

What is integral ?

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Answer:

26 is the quotient

Step-by-step explanation:

7 * 26 = 182

im not good at explaining but that's the answer

Answer:

B

Step-by-step explanation:

Essentially, the -3 in this equation is the slope, and when you multiply slope by -1 you are reflecting over the x axis.

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

That is correct, The answer IS 5. Good job

Step-by-step explanation:

I know how A.P.E.X can be confusing, but keep trying!

I believe the answer is 5 because that has to add up to 30 because it is a triangle.

PLEASE MARK BRAINLIEST

Answer:

its 90 degrees

Step-by-step explanation:

Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

The total number of integral solutions of x + y + z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and z ≥ 3 is; 59 integer solutions

We are given the condition that;

−3 ≤ x ≤ 4

Thus, we will use x values of -3, -2, -1, 0, 1, 2, 3, 4

When;

x = -3 and y = 2, in x + y + z = 12, solving for z gives z = 13

x = -3 and y = 3,  in x + y + z = 12, solving for z gives z = 12

x = -3 and y = 4,  in x + y + z = 12, solving for z gives z =11

x = -3 and y = 5,  in x + y + z = 12, solving for z gives z = 10

x = -3 and y = 6,  in x + y + z = 12, solving for z gives z = 9

x = -3 and y = 7,  in x + y + z = 12, solving for z gives z = 8

x = -3 and y = 8,  in x + y + z = 12, solving for z gives z = 7

x = -3 and y = 9,  in x + y + z = 12, solving for z gives z = 6

x = -3 and y = 10,  in x + y + z = 12, solving for z gives z = 5

x = -3 and y = 11,  in x + y + z = 12, solving for z gives z = 4

Thus, there are 10 solutions with x =-3

Repeating the above with x = -2, we will have 10 solutions

Similarly, with x = -1, we will have 9 more solutions

Similarly, with x = 0, we will have 8 more solutions.

Similarly, with x = 1, we will have 7 more solutions.

Similarly with x = 2, we will have 6 more solutions.

Similarly with x = 3, we will have 5 more solutions.

Similarly with x = 4, we will have 4 more solutions.

Thus,

Total number of solutions = 4 + 5 + 6 + 7 + 8 + 9 + 10 + 10

= 59 integer solutions

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The ratio of cost to the number of cans = 5: 2  

A ratio is a mathematical concept that represents the relationship between two or more values.

In the given problem, the ratio represents the relationship between the cost of the soup and the number of cans purchased.

Ratios are commonly used in mathematics, finance, and other fields to express comparisons and relationships between different quantities.

Here we have

$10 for 4 cans of soup  

The required ratio can be formed as follows

=> 10: 4

=> 10/2: 4/2   [ Divided by 2 ]

=>  5: 2

Therefore,

The ratio of cost to the number of cans = 5: 2    

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

38

Step-by-step explanation:

X+35=73

x=73-35

x=38

Answer:

X=38

Step-by-step explanation:

x+35=73

-35 -35

The total cost for Cara is $15,756.86

Given that, Cara leased a convertible by making a $3,000 deposit and paying $349 per month for 36 months, and an $80 title fee and a $112.86 license fee.

We need to find the total lease cost.

(36x349) +3000+80+112.86

= $15,756.86

Hence, the total leased cost is $15,756.86.

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the probability that Fazio selects a striped jersey both times is 1/25. The correct option is b. 1/25.

probability of selecting a striped jersey on the first draw is 2 out of the total 10 jerseys (2 striped + 5 gray + 3 white), which can be expressed as 2/10.

Since Fazio replaces the jersey after the first draw, the probabilities for each draw are independent. Therefore, the probability of selecting a striped jersey on the second draw, given that the first jersey was also striped, is again 2/10.

To find the probability of both events occurring, we multiply the probabilities together:
(2/10) * (2/10) = 4/100 = 1/25

Therefore, the probability that Fazio selects a striped jersey both times is 1/25. The correct option is b. 1/25.

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Answer:

h(-3)=-1

Step-by-step explanation:

h(x)=-3x - 10

Let x = -3

h(-3)=-3(-3) - 10

      = 9-10

       =-1

SOLUTION

Statement1: Given a line segment

Statement 2: Definition of Midpoint

D as the midpoint

Then we have

Statement 3: Segment addition postulate

Statement 4: simplify

Statement 5: Addition property

Then Adding DE to both sides

Then from the diagram,

We have

Statement 6: Transitive property

statement 7: Division property

Divide both sides by 2

Therefore

DE=1/2 CE implies D is the midpoint of CE

Statement 1= Given

Statement2=Difine a midpoint

Statement 3=Segment addition postulate

statement 4=simplify

Statement5= Addition property

Statement 6=transitive property

Statement 7=Division property

Answer:

-2x^2 + 2x^2 is equal to zero,  -2+2=0 the negative 2 cancels the positive 2

Step-by-step explanation:

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer: 48

Step-by-step explanation:

I guessed and got it right, trust

Measure of ∠ABD = 42°

Correct option is d.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given in the figure,

ABC is right angle triangle

∠BAD = 90°

∠ABD = ?

AB = 125 ft

AD = 140 ft

tan ∠ABD = AB/AD

      ∠ABD = tan⁻¹ (125/128)

     ∠ABD = 41.76° ≈ 42°

Hence, 42° is the measure of ∠ABD.

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Answer:

AB ≈ 4.41

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{4}{AB}\) ( multiply both sides by AB )

AB × cos25° = 4 ( divide both sides by cos25° )

AB = \(\frac{4}{cos25}\) ≈ 4.41 ( to the nearest hundredth )

Vince bought six boxes of worms to use as bait while fishing what his friends if each person uses exactly 3/8 of a box of worms, the number of people who can share the boxes of worms is 16.

The number of people who exactly share the boxes is determined through division of total number of boxes by fraction of box used by each person exactly.

The given information to compute the required information is:

The total number of boxes = 6

Box used by each person = 3/8

Therefore,

Number of people = Number of Boxes/Part of Box Used by One Person = 6÷ 3/8 = 6 x 8/3 = 16

Hence, the number of people who can share the six boxes exactly are 16 people.

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Answer:

x=5

Step-by-step explanation:

-3=x-8

8-3=x

x=5

Step-by-step explanation:

draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306

Answer:

306m

Step-by-step explanation:

You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:

                      55m
           _____________
           |                           |
           |                           |
           |                           |
98m    |                           |     98m
           |                           |
           |                           |
           |                           |
           _____________
                      55m

You just add them together!

55 + 55 + 98 + 98 = 306

so you need 306 meters of fencing

Answer:

25 girls

Step-by-step explanation:

We Know

The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.

To get from 4 to 20, we multiply by 5.

We Take

5 x 5 = 25 girls

So, there are 25 girls in class.

Answer: 25 girls are in the class

Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.

Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.

Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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The total number of outcomes possible is equal to the product of the number of equally likely outcomes of each spinner.

To determine the number of outcomes possible when you spin two spinners, you need to multiply the number of outcomes of each spinner together.

For example, if one spinner has 4 equally likely outcomes (labeled A, B, C, and D), and the other spinner has 3 equally likely outcomes (labeled X, Y, and Z), then the total number of outcomes possible when you spin both spinners is:

4 x 3 = 12

There are 12 possible outcomes when you spin both spinners.

In general, if the first spinner has n1 equally likely outcomes, and the second spinner has n2 equally likely outcomes, then the total number of outcomes possible when you spin both spinners is:

n1 x n2

Therefore, to determine the number of outcomes possible when you spin two spinners, you need to know the number of equally likely outcomes for each spinner.

It is important to note that the outcomes of each spinner are assumed to be equally likely. If one spinner is biased or weighted, then the outcomes may not be equally likely, and the total number of outcomes possible may be affected.

In summary, to determine the number of outcomes possible when you spin two spinners, you need to multiply the number of equally likely outcomes of each spinner together. The total number of outcomes possible is equal to the product of the number of equally likely outcomes of each spinner.

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This can be simplified to 3^7, which equals 2,187. So, there are 2,187 different key designs possible for these antique cars.

To determine the number of different key designs possible for antique cars with seven parts and three patterns for each part, we can use the multiplication principle of counting.

This principle states that if there are m ways to perform one action and n ways to perform another action, then there are m x n ways to perform both actions together.

Therefore, the number of different key designs possible can be calculated by multiplying the number of patterns for each part together. In this case, we have three patterns for each of the seven parts, so we can calculate the number of possible designs by using the formula 3^7.

Using a calculator, we can see that 3^7 is equal to 2,187. Therefore, there are 2,187 different key designs possible for antique cars with seven parts and three patterns for each part. It's worth noting that not all of these designs may have actually been produced or used, but this calculation gives us the total number of possibilities based on the given information.
Hi! I'd be happy to help you with your question. To determine the number of different key designs possible for these antique cars, we can use the multiplication principle of counting. Since there are 7 parts to each key and 3 patterns for each part, we can multiply the number of patterns for each part together to find the total number of key designs.

The calculation would be: 3 (patterns for part 1) × 3 (patterns for part 2) × 3 (patterns for part 3) × 3 (patterns for part 4) × 3 (patterns for part 5) × 3 (patterns for part 6) × 3 (patterns for part 7).

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Answer:

1, 17, 33, 49

Step-by-step explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

Answer:

see the file attached!!!!