(1 point) evaluate the double integral ∬dxcosyda, where d is bounded by y=0, y=x2, and x=4.

Answer:

-11/3, -2.25, -3/2, 0.5

Step-by-step explanation:

The length of the band in this position is equal to 49.98 mm.

In Mathematics and Geometry, the circumference of a circle can be calculated by using the following mathematical equation (formula):

C = 2πr or C = πD

Where:

Based on the image of the four pencils, the length of the band in this position can be calculated by using following mathematical equation (formula):

Length = 2πr + 4D

By substituting the given parameters into the formula, we have the following;

Length of the band = 2 × 3.14 × (7/2) + 4(7)

Length of the band = 21.98 + 28

Length of the band = 49.98 mm.

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Answer:

x = 6 or x = 0 or x = -8

Step-by-step explanation:

Solve for x over the real numbers:

2 x^3 - 4 x^2 - 96 x = -8 x^2

Add 8 x^2 to both sides:

2 x^3 + 4 x^2 - 96 x = 0

The left-hand side factors into a product with four terms:

2 x (x - 6) (x + 8) = 0

Divide both sides by 2:

x (x - 6) (x + 8) = 0

Split into three equations:

x - 6 = 0 or x = 0 or x + 8 = 0

Add 6 to both sides:

x = 6 or x = 0 or x + 8 = 0

Subtract 8 from both sides:

Answer: x = 6 or x = 0 or x = -8

The new standard deviation remains the same as the original standard deviation of 12.3 grams.

Option A is the correct answer.

We have,

To calculate the new standard deviation, we need to adjust the weights of the fish by adding 1.1 grams to each weight.

This adjustment affects the original data and consequently impacts the standard deviation.

Since the scale was 1.1 grams off and each fish was actually 1.1 grams heavier, this adjustment does not change the spread or variability of the data.

It only shifts the values by a constant amount.

Therefore,

The new standard deviation remains the same as the original standard deviation of 12.3 grams.

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Answer:

I believe it is (0,3)

Step-by-step explanation:

hope this helps!

Answer:

a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7

Step-by-step explanation:

Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.

Answer:

The smaller number must be 12

Step-by-step explanation:

Ignoring the second sentence we can make an expression from the question :

x is larger number

y is the smaller number

x = 2y + 12

Now we substitute 36 for x and solve for y :

36 = 2y + 12

Subtract 12 from both sides :

24 = 2y

Divide both sides by 2 :

12 = y

y = 12

The smaller number must be 12.

But let's check :

12 × 2 = 24

24 + 12 = 36

✅

Hope this helped and have a good day

Answer:

Below

Step-by-step explanation:

This is your posted line:

4 3/4 = 19 / 4

2 1/3 = 7/3

19/4  * 7/3  =  (19*7) /(4*3) = 133/12  = 11  1/12

BUT the question in the picture shows

2 4/7 * 2/3 =

18/7   * 2/3 =  (18*2) / ( 7*3) = 36/21 = 1  15/21   =    1 5/7

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:.5 for either side

Step-by-step explanation:there are two sides, both equally likely so their probability must be equal and sun to 1. This condition is met when both probabilities are .5

Answer:

50/50 probability

Step-by-step explanation:

ANSWERS

1. Domain: all real values

2. Zeros: 0 (with multiplicity 2) and 3

3. Not periodic. Symmetric about the point (1, 2)

4. Positive for x < 3; negative for x > 3

5. f → ∞ as x → -∞; f → -∞ as x → ∞

6. none

EXPLANATION

1. The domain of a function is the set of all the x-values for which the function exists. In this case, we have a polynomial function and, therefore, the domain is all real values.

2. To find the zeros of the function, we have to solve,

First, factor x² and -1 out. To do so, we have to divide each term by x² and by -1 - or, in other words, divide by -x²,

So, we have,

In this equation, we can see that if x = 0, then the equation is true. Also, if x = 3 the equation is true. So, these are the two zeros, with the particularity that x = 0 has multiplicity 2. This is because the factor related to that zero is x squared.

Hence, the zeros are 0 and 3. 0 has multiplicity 2.

3. As mentioned before, this is a polynomial function, which means that it is not a periodic function. A cubic function is an odd function, and it is symmetric about the origin. However, this function is not the parent function, x³, but it is symmetric about the point (1, 2).

4. We know that the function is zero at x = 0 and at x = 3. For x < 0, the function is positive,

For 0 < x < 3, the function is also positive. This is because x = 0 with multiplicity 2.

Then, since the function crosses the x-axis at x = 3 and that zero has multiplicity 1, we can conclude that the function is negative for x > 3.

Hence, is the function is positive for x < 3 and negative for x > 3.

5. As mentioned in part 4, the function is positive for all values of x less than 3, which means that the function goes to infinity as x goes to negative infinity.

Since for x > 3 the function is always negative, it goes to negative infinity as x goes to infinity.

6. A polynomial function has no restrictions in the domain and, therefore, has no asymptotes.

Answer: B and C

Step-by-step explanation:

U is positive and S is negative so it fits

U is the oppotite which would = -U and the opposite of that is U so that fits

Answer:

B: U= -S

Step-by-step explanation:

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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The rational function graphed, found from the asymptote line in the graph is the option C.

C. F(x) = 1/(x + 1)²

An asymptote is a line to which the graph of a function approaches but from which a distance always remain between the asymptote line and the graph as the input and or output value approaches infinity in the negative or positive directions.

The graph of the function indicates that the function for the graph has a vertical asymptote of x = -5

A rational function has a vertical asymptote with the equation x = a when the function can be expressed in the form; f(x) = P(x)/Q(x), where (x - a) is a factor of Q(x), therefore;

A factor of the denominator of the rational function graphed, with an asymptote of x = -5 is; (x + 5)

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We will have the following:

From the polynomial we will have that:

*It falls to the left and rises to the right.

This can be seeing as follows:

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 166 degrees is approximately 0.0726, or 7.26%. This would not warrant a replacement cup as it is not considered unusual or significantly deviant from the mean.

- To obtain the probability that a randomly selected cup of hot chocolate would have a temperature of less than 166 degrees, we can use the Z-score and the standard normal distribution.

First, let's calculate the Z-score for the temperature of 166 degrees using the formula:

Z = (X - μ) / σ

where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

Z = (166 - 175) / 6.2

Z = -1.4516

Next, we can use a Z-table or a statistical software to find the probability associated with the Z-score of -1.4516.

Looking up the Z-score in the table, we find that the probability is approximately 0.0726.

- To determine whether this outcome is unusual or warrants a replacement cup, we can consider the significance level or the threshold for unusualness.

Commonly, a significance level of 5% (0.05) is used. If the probability of an outcome falls below this threshold, it can be considered unusual.

In this case, the probability of less than 166 degrees is 0.0726, which is greater than 0.05. Therefore, this outcome would not be considered unusual at a significance level of 5%.

It means that a cup of hot chocolate with a temperature below 166 degrees is within the expected range of temperatures based on the given mean and standard deviation and hence, it would not warrant a replacement cup.

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To triple the area of a square, the new side lengths must be the length of the old sides multiplied by the square root of three (√3).

A square is a two-dimensional (2D) geometric shape that has four equal sides, and its angles are right angles, i.e., they measure 90°. The perimeter of a square is the sum of the length of all its sides, and its area is the product of its length and width. The diagonals of a square are equal in length and intersect at right angles.

To triple the area of a square, you need to increase the length of the square's sides by a certain factor. That factor is the square root of three, which is approximately 1.732. This implies that if the old side length of the square is "x," then the new side length of the square will be 1.732x.

This ratio of new side length to old side length of the square will triple the square's area (since (1.732x)² = 3x²). Therefore, to triple the area of a square, the new side lengths must be the length of the old sides multiplied by the square root of three (√3).

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We have a group of books that is conformed by 11 books about mysteries and 6 non-fiction books.

If she chooses 4 books, we have to calculate the probaiblity that all of them are mystery books.

We can calculate this probability as the quotient between the combinations that include 4 mystery books and all the possible combinations.

We can start calculating all the possible combinations of 4 books from a group of 17 books. It can be calculated as:

Then, we can calculate the combinations that only include mystery books by excluding the non-fiction books from the options. Now, we have only 11 options fo fill the selection of 4 books, so the possible combinations are:

Then, we can calculate the probability as the quotient between the combinations we have just calculated:

Answer: the probability that the 4 books are mystery books is P = 33/238 or approximately 0.1387.

The height of the cell-phone tower is approximately 110 feet. So the correct answer is option C: 110 ft.

We can use trigonometry to figure out how high the phone tower is. Let's use the letter h to indicate the tower's height.

The tower, Ryan's eye level, and the point where Ryan is standing all make up a right triangle in this instance. From Ryan's eye level to the top of the tower, the elevation difference is 54 degrees.

We can utilize the digression capability to relate the point of rise to the level of the pinnacle:

tan(angle) = opposite/adjacent tan(54°) = h/80 In order to find the value of "h," we can change the following equation:

h = tan(54°) * 80

Utilizing a logical mini-computer, we can work out the worth of tan(54°) as roughly 1.37638192047. Therefore:

The cell phone tower is approximately 110 feet tall because h = 1.37638192047 * 80 h  110.03.

Therefore, option C is the right response: 110 ft.

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Answer:

h=1/2Ab

Step-by-step explanation:

Answer:

x = .9

Step-by-step explanation:

Tan = Opposite over Adjacent

\(tan(83)=\frac{7}{x}\)

* multiply each side by x *

\(tan(83)*x=xtan(83)\\\frac{7}{x} =7\\xtan(83)=7\)

* divide each side by tan(83) *

\(\frac{xtan(83)}{tan(83)} =x\\\frac{7}{tan(83)} =0.8594919263\\x=0.8594919263\)

* round to the nearest tenth of a foot *

we get that x = .9

Answer:

x = -9

Step-by-step explanation:

We will bring all the xs to the left side:

2x - 5 - 3x = 4

We will move -5 to the right side

2x - 3x = 4 + 5

Combine like terms:

-1x = 9

solve for x:

x = 9/-1 = -9

Step-by-step explanation:

2x-3x=4+5

-x=9

Therefore x=-9

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

\(P=P_o(1+r)^t\)

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

\(2P_o=P_o(1+0.08)^t\)

Simplifying:

\(2=(1.08)^t\)

Taking logarithms:

\(\log 2=\log (1.08)^t\)

Applying the exponent property of logs:

\(\log 2=t\log (1.08)\)

Solving for t:

\(\displaystyle t=\frac{\log 2}{\log (1.08)}\)

Calculating:

\(t\approx 9\)

It will take 9 years for the population to double

The total weight is 18.5 kilograms

Answer:

7

Step-by-step explanation:

if he gets $35 in 5 hours then he gets $7 an hour, and 7*7=49.

Answer: 7 hours

Step-by-step explanation:

$35/5 hours=$7 an hour

$49/$7 an hour=7 hours of mowing

Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

boi just use a claculator

Step-by-step explanation:

bye luve

Answer: A 21,369

Explanation I got it right on the test :)