what is the value of x?

Answer:

option b is your correct answer

hy if it help you then mark me brilliant

.............

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

The total number of rabbits bought by Doña Rose for your farm is 4 times the Number of given rabbits.

The number of rabbits bought by Doña Rose for your farm, we need to consider that the given rabbits represent only a quarter of the total number.

the total number of rabbits as 'x'. According to the information, the given rabbits represent a quarter of 'x', which can be expressed as:

Given rabbits = (1/4) * x

To find the value of 'x', we can multiply both sides of the equation by 4

4 * Given rabbits = x

Therefore, the total number of rabbits bought by Doña Rose for your farm is 4 times the number of given rabbits.

the exact value of 'x'. However, we can state that the total number of rabbits bought is four times the number of the given rabbits.

So, if the given rabbits represent 'n' in quantity, the total number of rabbits bought would be 4n.

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Answer:

the answer is 0

Step-by-step explanation:

6 (4) -2 (3)(4)

24-24=0

the funcn is decreasing for all real values of x where x<1.5

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

Answer:

it's not fair

Step-by-step explanation:

... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Total number of observations in sample space when a pair of dice is rolled = 6² = 36

Number of observations where sum is 5 or 6 = 9

((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))

Probability that Rebecca will clean the dishes = 9/36 = 0.25

Number of observations where sum is 8 or 9 = 9

((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))

Probability that Blake will clean the dishes = 9/36 = 0.25

Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.

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\(~~~~~~~~~~~~\underset{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}}\\ \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\)

\(\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &\$5618\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases}\)

\(A=5618\left[ \cfrac{\left( 1+\frac{0.10}{2} \right)^{2\cdot 4}-1}{\frac{0.10}{2}} \right]\implies A=5618\left( \cfrac{1.05^8~~ - ~~1}{0.05} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 53646.89~\hfill\)

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

Point A will be 2 times it's original value, because the original scale is 3, and the new scale is 6. Therefore using a times 2 rule. So point A will be plotted at (8, 16)

Answer:

Step-by-step explanation:

divide 14 by 11

which is 0.36

Answer:

c

Step-by-step explanation:

They are not commutative because the domains of f(x) and g(x) are different.

The functions  \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) are not commutative because domains of f(x) and g (x) are different.

Here,

The functions are \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) and graph of the function are shown in figure.

We have to check the function are composite or not.

What is Domain of function?

The domain of a function is the set of all possible inputs for the function.

Now,

Domain of function  \(f(x) = x^{3}\) is ( -∞, ∞).

And, Domain of function \(g(x) = \frac{1}{x^{3} }\) is ( -∞,0 ) U ( 0, ∞).

Hence, the domain of the functions are different so they are not commutative.

So, The functions  \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) are not commutative because domains of f(x) and g (x) are different.

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Answer:

The answer is 49

Step-by-step explanation:

We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.

We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:

14/42 = 0.3333

We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:

0.3333 * 147 = 49

Therefore, the best estimate for the number of dogs that suffer from the disease is 49.

Expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Jonas's dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon.

At this moment, the sandbag is 75 meters below the balloon.

Then, distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Hence, expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

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Answer:

Let a be the larger number

Let b be the smaller number

A= b+7

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer :- B) 0

Only a number ending with the digit 0 is divisible by 2,5 and 10

Example :-

20 ÷ 2 = 10

20 ÷ 5 = 4

20 ÷ 10 = 2

Here, 20 is the number that ends with 0.

Answer:

Step-by-step explanation:

Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.

Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

The following triangles are right triangles:

The triangle which has one interior angle equal to 90 is known as right triangle.

For right triangle we have one theorem which is known as Pythagoras theorem which states that:

H² =  B² + P²

where H is hypotenuse, B is base and P is perpendicular.

1. The triangle ABC,

50²   = 30² + 40²

2500 = 900 + 1600

2500 = 2500

Hence it is right triangle.

similarly, we can check for rest options

Thus, the option A, D & E are representing right triangle.

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Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

7x+2-4x=23,,,3x+2=23,,,3x=25,,,x=25/3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

combine like variables

(7x-4x) +2 = 23

3x+2=23

subtract 2 from both sides

3x(-2+2)= (23-2)

3x=21

divide both sides by 3

3x/3= 21/3

x=7

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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Answer:

$10

Step-by-step explanation:

3×10=30

so if you add 3 10 times you get 30

so Anjali bout 10 batteries

We have

The segment UV

the midpoint is M(1,5)

U=(2,3)

The formula for the x-coordinate of the midpoint is

the formula for y- coordinate of the midpoint is

we have

x=1

y=5

x1=2

Answer:

56.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

   0 5 6

1 6 9 0 4

 − 0    

   9 0  

 − 8 0  

   1 0 4

 −   9 6

       8

the answer is 56

On solving the provided question we can say that As a result, the probability of a student P(x < 75) = 75 + (-75 ) =  0 .

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

z = (x - μ) / σ

z = (75 - 75) / 10 = 0

That is, a raw score of 75 equates to a z-score of 0.

P(z < 0) = 0.5

As a result, the likelihood of a student scoring less than 75% is 0 or 0%.

So, P(x < 75) = 75 + (-75 ) = 0

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The time taken for the person to get to school based on the equation will be 7 minutes.

From the information given, the equation is given as:

g(x) = x⁴ - 3x² + 4x - 5

Then, we'll put 2 as x. This will be:

= 2⁴ + 3(2)² + 4(2) - 5

= 16 - 12 + 8 - 5

= 7

Therefore, the time taken for the person to get to school based on the equation will be 7 minutes.

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Answer:

(-2, 1.5)

Step-by-step explanation:

x-coordinate = ½(1 - 5) = -2

y-coordinate = ½(-3 + 6) = 1.5

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

The inverse function evaluated in x = 3 gives:

g-¹(3) =0.5

Here we have the function:

g(x) = 2x + 2

And we wantto find its inverse g-¹(x), to do this, we evaluate the function in its inverse  and we equate that with x.

g(g-¹(x)) = x

2*g-¹(x) + 2 = x

g-¹(x) = (x - 2)/2

Now we can evaluate this in x = 3, we will get:

g-¹(3) = (3 - 2)/2 = 1/2 = 0.5

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Sorry- but- Wouldn't the answer be the same as the the teal curved line? Wouldn't X= 152? Sorry, I'm no genius. .__.