(\iiint_{E}^{} x^2e^y dV) Evaluate the triple integral where E
is bounded by the parabolic cylinder z=1−y2 and the planes z=0,x=1,
and x=−1.

The system of inequalities can be given as

\(a+y\geq 13\\3a+1.5y\leq 30\)

Inequality is the relationship between two or more expressions or values that are not equal to one another.

We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.

If a represents the quantity of cupcakes bought and y the quantity of donuts bought

A total of 13 products had to be purchased.

Equations can be given as

\(a+y\geq 13\\3a+1.5y\leq 30\)

On graphing the inequalities we get

The intersection of the two inequalities is the required region

For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts

The total cost is 3(2)+1.5(14)=27

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Answer:

You have to multiply the last number by 3. So 9 times 3 equals 27 and 27 times 3 equals 81 and so on. The answer would be 59,049

Step-by-step explanation:

I hope this helps!!

Answer:

25% percent

Step-by-step explanation:

Remainder theorem tells about the remainder of division of a polynomial with x - a. The roots of given function are: 1, -1, -3

If there is a polynomial p(x), and a constant number 'a', then

\(\dfrac{p(x)}{(x-a)} = g(x) + p(a)\)

where g(x) is a factor of p(x)

For the given case, we've got:

\(f(x) = x^3 + 3x^2 -x - 3\)

and

f(1) = 0

Thus, for a = 1, from remainder theorem, we get:

\(\dfrac{p(x)}{(x-a)} = g(x) + p(a)\\\\\dfrac{f(x)}{(x-1)} = g(x) + f(1)\\\\\dfrac{x^3 + 3x^2 - x - 3}{(x-1)} = g(x) + 0\\\\ \dfrac{x^2(x+3) -1(x+3)}{x-1} = \dfrac{(x^2-1)(x+3)}{(x-1)} = g(x)\\\\(x+1)(x+3) = g(x)\)

Thus, the other factor of f(x) is g(x) = (x+1)(x+3)

And we have:

\(\dfrac{f(x)}{x-1} = g(x)\\\\f(x) = (x+1)(x+3)(x-1)\)

Putting it equal to 0, we get:

\(f(x) = 0\\(x+1)(x+3)(x-1) = 0\\x = 1, -1, -3\)

Thus,

The roots of given function are: 1, -1, -3

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Answer:

A

Step-by-step explanation:

got it right on Edge 1943 whilst fighting the German Forces in Northern Italy while my friends were on the beaches of Normandy.

If a certain missing number will result in the expression 20x +24 when using the distributive property, then the number that must be multiplied by (5x + 6 ) to result in the expression 20x + 24  is 4.

The distributive property is a property of multiplication, according to which if two or more values that are added together are multiplied by a number, then the result will be the same if each of these values is multiplied separately with that number and then the products are added together.

Considering y to be the number that must be multiplied by (5x + 6),

y (5x + 6) = y(5x) + y(6)

As the expression is,

20x + 24

y(5x) = 20x and y(6) = 24

6y = 24

y = 24 ÷ 6

y = 4

This can be confirmed as follows,

y(5x) = 20x

Putting y = 4 in this equation,

4(5x) = 20x

Hence the number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is calculated to be 4.

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Answer:

The answer would be the first choice ; sides jh and tr are congruent

The expression is equivalent to the given expression is 5x²+12x-7: Option C

You should understand that  simplification means making an expression more simpler for better understanding

The given expression is

-2x²+8x-9+4x+7x²+2

The first thing to do is to rearrange the expression in the following ways by collecting the like terms

7x²-2x²+8x+4x-9+2

This implies that

5x²+12x-7

Conclusively the simplest form of the expression is 5x²+12x-7

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Therefore, the hardness of the water, expressed in milligrams per liter as CaCO3, is 280.03 mg/l.

To calculate the hardness of water expressed in milligrams per liter as CaCO3, we need to consider the calcium (Ca++) and magnesium (Mg++) concentrations given in milligrams per liter (mg/l).

Given:
- Calcium concentration (Ca++) = 29 mg/l
- Magnesium concentration (Mg++) = 16.4 mg/l

The hardness of water is determined by the combined concentration of calcium and magnesium ions. These ions contribute to the formation of mineral deposits and can affect the lathering of soaps and detergents.

To calculate the hardness as CaCO3, we need to convert the concentrations of calcium and magnesium ions into their respective equivalents in terms of CaCO3. This conversion takes into account the molar mass and valence of each ion.

The molar mass of calcium (Ca) is 40.08 g/mol, and its valence is 2+. Therefore, the equivalent weight of calcium is (40.08/2) = 20.04 g/mol.

The molar mass of magnesium (Mg) is 24.31 g/mol, and its valence is 2+. Thus, the equivalent weight of magnesium is (24.31/2) = 12.155 g/mol.

Now, let's calculate the hardness:

1. Convert the calcium concentration to the equivalent concentration of CaCO3:
  Calcium concentration (Ca++) = 29 mg/l
  Equivalent concentration of CaCO3 = 29 mg/l * (100.09 g/mol / 20.04 g/mol) = 145.17 mg/l as CaCO3

2. Convert the magnesium concentration to the equivalent concentration of CaCO3:
  Magnesium concentration (Mg++) = 16.4 mg/l
  Equivalent concentration of CaCO3 = 16.4 mg/l * (100.09 g/mol / 12.155 g/mol) = 134.86 mg/l as CaCO3

3. Add the equivalent concentrations of CaCO3 for calcium and magnesium:
  Total hardness = 145.17 mg/l + 134.86 mg/l = 280.03 mg/l as CaCO3

Therefore, the hardness of the water, expressed in milligrams per liter as CaCO3, is 280.03 mg/l.

The provided answer of 140 mg/l may not be accurate based on the given concentrations of calcium and magnesium.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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here is your answer

Answer: can i have the brains? ;)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Area of a square is s² , where 's' is the side length.

For a square of side length = 6 cm ,

The area = (6 cm)² = 36 cm²

* Why did your teacher say that you should not include units in your answer?

Anyway, the area without units is 36 .

There exists a row where all the premises are true but the conclusion is false, the argument is invalid. Therefore, the correct answer is: d. Invalid.

To determine the status of the argument using indirect truth tables, we need to construct a truth table and evaluate the argument's validity.

We assign truth values to the propositions: Q, S, N, A, P, and G. We consider all possible combinations of truth values and evaluate the truth value of each statement in the argument.

Using indirect truth tables, we construct the following truth table:

Q | S | N | A | P | G | ∼ S | ∼(N • A) | S ∨ A | (P • N) ∨ (G • Q) | P • G

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

T | T | T | T | T | T | F   | F          | T      | T                  | T

T | T | T | T | T | F | F   | F          | T      | T                  | F

T | T | T | T | F | T | F   | F          | T      | T                  | F

T | T | T | T | F | F | F   | F          | T      | F                  | F

... (continued for all possible combinations)

We can see that there is at least one row in the truth table where all the premises are true and the conclusion is false. Specifically, when Q = T, S = T, N = T, A = T, P = F, and G = F, the premises are true (Q ∨ ∼S, ∼(N • A), S ∨ A, (P • N) ∨ (G • Q)), but the conclusion (P • G) is false.

Since there exists a row where all the premises are true but the conclusion is false, the argument is invalid.

Therefore, the correct answer is:

d. Invalid.

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Answer:

600 x 60 = 36,000

50 x 50 = 2,500

1,000 x 3 = 3,000

70 x 80 = 5,600

100 x 300 = 30,000

20 x 40 = 800

90 x 90 = 8,100

9 x 900 = 8,100

500 x 300 = 150,000

1,000 x 5 = 5,000

125 - 100

770 - 800

364 - 400

923 - 900

755 - 800

Step-by-step explanation:

The percent greater means the value increase according to that percent.

In the given question, we have to explain what does percent greater mean.

As we know that;

A figure or ratio stated as a fraction of 100 is called a percentage. It is frequently indicated by the percent sign, "%."

If percentage is greater that means we add that maximum percentage to 100 because every item is 100% to himself.

Then the number obtained after adding the greater percent to the 100, is the main percentage of the given value.

Then we divide the total percent by 100, then we get total maximum value.

Let the something gets x% stronger, you must also factor in its original 100% strength, which is expressed as follows:

x% + 100% = (x+100)%

Additionally, keep in mind that "percent" refers to anything relative to 100, therefore we can rephrase the percentage as a number:

(x+100)% = (x+100)/100 = 0.01x+1

Therefore, something that is x% stronger is (0.01x+1) times as strong.

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48.5 feet

1) Sketching this we have:

2) As the point here is how much string was left out, then let's use a trigonometric ratio to find out that hypotenuse since height is always perpendicular (90º with the ground).

3) Hence, that kite's string is 48.5 feet long

Answer:

30m

Step-by-step explanation:

Since we are not told what to look for, we can find the maximum height reached by the rocket

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

The area of the surface cut from the paraboloid  x^2 + y^2 - z = 0 by the plane z = 20 is 80π√5 square units.

For the area of the surface cut from the paraboloid x^2 + y^2 - z = 0 by the plane z = 20, we need to calculate the surface area of the intersection curve.

The intersection curve is obtained by setting z = 20 in the equation of the paraboloid:

x^2 + y^2 - 20 = 0

This equation represents a circle with radius √20 = 2√5 centered at the origin (0, 0). The equation can be written in polar coordinates as r = 2√5.

To find the surface area of the circle, we can use the formula for the circumference of a circle and multiply it by the height of the cylinder formed by the circle when revolving around the z-axis.

The circumference of the circle is 2πr, where r = 2√5. So the circumference is 4π√5.

The height of the cylinder formed by the circle is the difference between the maximum and minimum z-values, which is 20 - 0 = 20.

Therefore, the surface area of the intersection curve is given by:

Surface Area = Circumference × Height

                = 4π√5 × 20

                = 80π√5

So, the area of the surface cut from the paraboloid is 80π√5 square units.

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Answer: I know this is an old question, but in case you still don't know how to do Law of Sine here's how you would have solved it. (P.S. I wasn't sure which part of the triangle the problem was looking for, so I solved for all parts)

Step-by-step explanation:

Answer:

\(\displaystyle 7,7\)

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

\(\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}\)

Use \(\displaystyle sin^{-1}\)towards the end or you will throw your result off!

Solving for Edges

\(\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}\)

Let us get to wourk:

\(\displaystyle \frac{c}{sin\:44} = \frac{11}{sin\:82} \hookrightarrow \frac{11sin\:44}{sin\:82} = c; 7,7163369357... \\ \\ \boxed{7,7 \approx c}\)

I am joyous to assist you at any time.

The possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)

We need to find the four possible pairs of integers that has product -18

Let x and y be two required integers.

Since the product is negative, one of the integer must be negative integer.

x      y          x*y

9    -2          -18

2     -9         -18

18    -1         -18

-1     18        -18

6      -3        -18

3      -6        -18

Therefore, the possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)

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Answer:

the answer should be, x = 2

Answer:

y = 8x + 36

Step-by-step explanation:

(y-4) / (x - -4) = 8

y - 4 = 8x + 32

y = 8x + 36

Answer:

256

Step-by-step explanation:

To find only one fake coin from 8 coins can be done in two weighings.

Divide the coins into three groups, A, B, and C, each consisting of three coins.

A and B are first weighed against one another. If the balancing scale is straight, fake coins belong in group C; otherwise, they belong in A or B, depending on which side of the scale is up.

Finding the lighter fake coin requires a second weighing if the first weighing indicates that the fake coins are in group C. Weigh any two phony coins from the group if A/B. The third coin is phony if the scale is balanced; else, choose the coin that is lighter.

For 3 weighing, make pair of 4 and followed by pair of 2 for the lighter group. At last, compare the last 2 coins to find the lighter coins.

8 → 4 →2 →1

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Answer:

31/40

Step-by-step explanation:

you only got 9 right side up, so you'll have to add the numbers that aren't right side up together and divide it by 40 since the total tosses is 40.

The standard deviation measures how far the data are from the dataset mean. The lower the standard deviation is, the closest the data are to the mean.

In this case, the pilot strives for a mean equal to 0 (zero minutes late). Also, since the pilot needs the arrivals to be as close as possible to this mean of zero minutes late (on-time), they want the data of "minutes late" to be all close to this mean. And this is achieved with a lower standard deviation.

Therefore, they want a lower standard deviation.

The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.



To build a deterministic finite automaton (DFA) for the language L3 = {x ∈ {a, b, c}* | x has strictly more than 3 'c' symbols and does not end in 'c'}, we can design the following DFA M3:1. Start with an initial state q0.

2. Create a loop on q0 for 'a', 'b', and 'c' inputs, leading back to q0.

3. From q0, transition to a state q1 on input 'c'. This represents the first 'c' encountered.

4. From q1, create a loop for 'a' and 'b' inputs, leading back to q1.

5. Transition from q1 to q2 on input 'c'. This represents the second 'c' encountered.

6. Similarly, create a loop on q2 for 'a' and 'b' inputs, leading back to q2.

7. Transition from q2 to q3 on input 'c'. This represents the third 'c' encountered.

8. From q3, create a loop for 'a', 'b', and 'c' inputs, leading back to q3.

9. Create a final accepting state q4 and transition from q3 to q4 on 'a' or 'b' inputs.

In this DFA, any string that ends with 'c' or has less than three 'c' symbols will not reach the accepting state q4, hence not belonging to L3.

Therefore, The deterministic finite automaton (DFA) M3 for the language L3, where strings have more than 3 'c' symbols and do not end in 'c', is designed with states q0, q1, q2, q3, and q4. Transitions and loops are created to determine acceptance.

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Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

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9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

Additional comment

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

Answer:

A.) 53.5 cm2

Step-by-step explanation:

I got it correct on founders edtell