Question is in the image below

\( = 49\)

Step-by-step explanation:

\( \sqrt{49} \times \sqrt{49} \)

\( = 49\)

hope it helps

Answer:

\(\sf\longmapsto \: 49\)

Step-by-step explanation:

\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)

\(\sf\longmapsto \: {49} \)

The volume of the solid under the surface z = √(81 - x^2 - y^2) and over the circular disk x^2 + y^2 ≤ 81 is approximately 3054.62 cubic units. The calculation involves integrating the height function over the circular region in polar coordinates.

To calculate the volume of the solid under the surface z = √(81 - x^2 - y^2) and over the circular disk x^2 + y^2 ≤ 81, we can use the concept of double integration.

The given surface represents a half-sphere with a radius of 9 centered at the origin, and the circular disk represents the projection of this half-sphere onto the xy-plane.

To find the volume, we integrate the height function √(81 - x^2 - y^2) over the circular region defined by x^2 + y^2 ≤ 81. Since the surface is symmetric, we can integrate over only the upper half-circle and multiply the result by 2.

Using polar coordinates, we can express x and y in terms of r and θ:

x = r cos(θ)

y = r sin(θ)

The limits of integration for r are 0 to 9 (the radius of the circular disk), and for θ, it is 0 to π.

The volume can be calculated as:

Volume = 2 ∫[0 to π] ∫[0 to 9] √(81 - r^2) r dr dθ

Evaluating this double integral yields the volume of the solid under the given surface and over the circular disk. The value obtained is approximately 3054.62 cubic units.

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Answer:

b

Step-by-step explanation:

Answer:

C. -1,500

Step-by-step explanation:

I AM JUST GUESSING HERE-

Answer: b

Step-by-step explanation:

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

The resulting matrix after the stated row operation is applied to the given matrix is [3      0    6      5]

                         [20   -3    2    16]

                         [4      0    0     5]

The resulting matrix after the stated row operation is applied to the given matrix is calculated as follows;

The given matrix expression;

[3   0    6    5]

[4   -3   2    -4]

[4    0   0     5]

The row operation of 4R₃ is determined as follows;

4R₃ = 4[4   0   0    5]

= [16   0     0      20]

Add row 2 to the product of 4 and row 3 as follows;

R₂ + 4R₃ = [4     -3       2      -4] + [16     0    0    20]

= [20    -3     2      16]

The resulting matrix is determined as follows;

= [3      0    6      5]

  [20   -3    2    16]

  [4      0    0     5]

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Answer:

He plans to drive it every day to work. The equation to the data is y = 20x + 30,000. How many miles does this car have when Mr. Dash bought .-by-step explanation:

Answer:

24

Step-by-step explanation:

24x0.25=6

Answer:

24

Step-by-step explanation:

100 divided by 25 = 4

so multiply 6 by 4 to get your answer

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation:

The value of ∬S F⋅dS is ∭V (z^2 + 93​y^2 + 1x^2 + sec^2(z)) dV. To evaluate the surface integral ∬S F⋅dS using the Divergence Theorem, we first need to compute the divergence of the vector field F.

The divergence of F is given by:

div(F) = ∇⋅F = (∂/∂x)(1z^2x) + (∂/∂y)(31​y^3 + tan(z)) + (∂/∂z)(1x^2z + 4y^2)

Taking the partial derivatives:

∂/∂x(1z^2x) = z^2

∂/∂y(31​y^3 + tan(z)) = 93​y^2

∂/∂z(1x^2z + 4y^2) = 1x^2 + sec^2(z)

Therefore, the divergence of F is:

div(F) = z^2 + 93​y^2 + 1x^2 + sec^2(z)

Now, we can apply the Divergence Theorem, which states that for a closed surface S enclosing a solid region V, the surface integral of the dot product between a vector field F and the outward-pointing normal vector dS is equal to the triple integral of the divergence of F over the volume V:

∬S F⋅dS = ∭V div(F) dV

Since we are given that S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, the surface integral becomes:

∬S F⋅dS = ∭V (z^2 + 93​y^2 + 1x^2 + sec^2(z)) dV

Since S is the top half of the sphere, we can define the region V as the solid region enclosed by S:

V: x^2 + y^2 + z^2 ≤ 1, z ≥ 0

Now, we integrate the divergence of F over the region V:

∬S F⋅dS = ∭V (z^2 + 93​y^2 + 1x^2 + sec^2(z)) dV

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Answer:

Step-by-step explanation:

-2 - p = -4 -(8p+12)

-2 - p =-4 -8p-12

-2+4+12=-8p+p

14=-7p

p=-2

Answer: 5/6

Step-by-step explanation:

x = 0 because u are looking for y-intercept

y = -4/9(0) + 5/6

y = 5/6

Answer:no solution because it will equal 0

tep-by-step explanation:

Step-by-step explanation:

\( \frac{x}{7} = 6 \\ x = 6 \times 7 \\ x = 42\)

Step-by-step explanation:

\( \frac{x}{7} = 6\)

By multiplying both sides with 7, we get

\( \frac{x}{7} \times 7 = 6 \times 7\)

Here,

In left side when 7 is divided with 7, we get 1 as remainder

\(x \times 1 = 6 \times 7\)

\(x = 42\)

Katie outscored approximately 1.39% of the students in her section.

If Katie received a z-score of 2.2, this means that her score was 2.2 standard deviations above the mean of the exam scores for her section.

We can use a standard normal distribution table or calculator to find the percentage of scores that fall above a z-score of 2.2.

Using a standard normal distribution table, we can find the proportion of scores that fall below a z-score of 2.2, and then subtract this from 1 to find the proportion of scores that fall above a z-score of 2.2.

The table value for a z-score of 2.2 is approximately 0.9861, which means that approximately 98.61% of the scores fall below a z-score of 2.2. Therefore, approximately:

1 - 0.9861 = 0.0139, or 1.39%

of the scores fall above a z-score of 2.2.

This means that Katie outscored approximately 1.39% of the students in her section.

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The survey conducted by surveying every house on the west side of town is biased because it only includes the residents in one area.

Option 3 is the correct answer: "Biased because the sample only included the residents in one area." The survey conducted by surveying every house on the west side of town is not representative of the entire population of the town. By only surveying one area, the sample does not include residents from the east side of town or any other areas. Therefore, the survey results may not accurately reflect the recycling habits of the entire town's residents.

To obtain an unbiased survey, it is important to use random sampling techniques that ensure every resident in the town has an equal chance of being included in the survey. By randomly selecting households from different areas of the town, the survey would provide a more representative and unbiased estimate of the recycling habits of the entire town's population.

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Answer:

x+12=120

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

just do 120 - 12=118

x+12=120

x=118

HOPE THIS HELPS!!

Answer:

5 > n + 10

8 x 7 < n

n/3 + 1

6 x 8 - 10 < n

n - 1 x n

n x -n + 7

His present age is 36 years.

Let his present age = x

Given,

2(x − 12) = x +12

2x - 24 = x + 12

2x - x =  12 + 24

x = 36

Therefore, his present age is 36 years.

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Answer:

1500

Step-by-step explanation:

To get this, just multiply by 10 or add a 0:

150*10= 1500

Hope this helps!

The solution of each of the equations for the variable indicated in each case are as follows;

It follows from the task content that the equations given are to be solved for the variables indicated.

The equations can therefore be solved as follows;

11. u = vw + z

Isolate vw so that we have;

vw = u -z; Divide both sides by w;

v = (u - z)/w.

12. x = b - cd

Isolate cd so that we have;

cd = b -x; Divide both sides by d;

c = (b - x)/d.

13. fg - 9h = 10j

Isolate fg so that we have;

fg = 10j + 9h; Divide both sides by f;

g = (10j + 9h)/f.

14. m - p = -n

Isolate m; so that we have;

m = p - n.

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Answer:

3

Step-by-step explanation:

i think because 12-9=3

Answer:

N + X × N + X × X = 6 + 1 × 6 + 1 × 1 = 6 + 6 + 1 = 13

Answer:

13

Step-by-step explanation:

N=6

x=1

N+X×N+X×X

=6+1×6+1×1

=6+6+1

=12+1

=13

Answer:

1/2.25 or 4/9

Step-by-step explanation:

The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

To calculate the percentage using structured references, you can use the following formula:

= (Value / Total) * 100

The formula above calculates the percentage by dividing the value you want to find the percentage of by the total value, and then multiplying the result by 100 to express it as a percentage.

"Value" represents the specific value you want to find the percentage of.

"Total" represents the total value or the whole amount that serves as the reference for the percentage calculation.

Let's consider an example:

Suppose you have a table with sales data, and you want to calculate the percentage of sales for a specific product compared to the total sales.

Product                                     Sales

Product A                                 500

Product B                                 750

Product C                                1000

Total                                          2250

To calculate the percentage of sales for Product B, you can use the formula:

= (750 / 2250) * 100

The result will be 33.33%, indicating that Product B's sales account for approximately 33.33% of the total sales

The formula (Value / Total) * 100 allows you to calculate the percentage using structured references. By plugging in the specific value and the total value into the formula, you can determine the percentage and express it as a relative proportion or ratio.

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Answer:

5/8

Step-by-step explanation:

1/6 × 3 3/4 = 1/6 × 15/4 = 15/24 = 5/8

Answer:

Step-by-step explanation:

make the improper fraction to proper fraction

3 3/4 to 15/7

1/6 x 15/7= multiply both numerator 1 x 15 is 15, multiply denominator 6 x 7 is 42......the answer will be 15/42 since both can be divided by 3 to make it into lowest term that will be 5/14, so the answer is NONE

In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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Answer:

√45x²

Step-by-step explanation:

To find an expression similar or equal to what is given, the easiest way to is unsimplify the given to find an equal expression.

Answer:

D. y sqrt5

Step-by-step explanation:

Just took the quiz on Edu.

Answer:

4/7

Step-by-step explanation:

6-2/2+5=4/7=.57142857142 but usually you can just keep it as a fraction