long division method of 616265
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Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing  the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

Answer:

It should be to distribute the parentheses

Step-by-step explanation:

That equals 2x+9x-9 = 16x+16-5 = 11x-9+=16x+11. You should be able to go from there.

Answer:

x=-4

Step-by-step explanation: distribute into the parenthesis

2x+9x-9= 16x + 16 -5

combine like terms

11x-9= 16x +11

add 9 on both sides

11x= 16x +20

subtract 16 on both sides

-5x=20

divide by -5 on both sides

x=-4  

Answer:

2.6>2.59 - Yes

2.09=2.9- No

Answer:

The provided statement is False.

Step-by-step explanation:

The assumptions to perform a test of​ independence are:

It is not necessary that the parent population or the population from which the sample is collected is normally distributed.

Thus, the provided statement is False.

height of the tree      number of days

1.5                                            1

1.97                                          2

2.6                                           3

3.42                                         4

5                                              5

The graph is attached

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,

the starting = ?

the base = ?

the exponents = x

For day 1 x = 1

1.5 = a(b)^1

For day 5, x = 5

4.5 = a(b)^5

dividing both equations'

4.5 / 1.5 = (a(b)^5) / a(b)^1

3 = b^4

b = 1.316

Solving for a

1.5 = a(b)^1

1.5 = a * 1.316

a = 1.14

the table is solve using the value of a and b in the function f(x) = 1.14(1.316)^x

height of the tree      number of days

1.5                                            1

1.97                                          2

2.6                                           3

3.42                                         4

5                                              5

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The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

P = 6\(\sqrt{19}\) units

A = 38 sq units

Step-by-step explanation:

P = 2\(\sqrt{19}\) + 2\(\sqrt{19}\) + 1\(\sqrt{19}\) + 1\(\sqrt{19}\)

P = 6\(\sqrt{19}\)

A = 2\(\sqrt{19}\) · \(\sqrt{19}\)  

A = 2 (19)

A = 38 sq units

Answer:

\( \frac{49}{4} \times \frac{45}{4} \times \frac{67}{5} \)

Answer:

  (a)  107°

Step-by-step explanation:

We can use the fact that opposite angles of a cyclic quadrilateral are supplementary to find the value of x. With that value, we can find the measure of angle W.

__

 ∠X +∠Z = 180°

  (5x +18)° +(3x +2)° = 180°

  8x +20 = 180 . . . . . . . . . . . . divide by °, collect terms

  8x = 160 . . . . . . . . . subtract 20

  x = 20 . . . . . . divide by 8

Now, we can find the measure of ∠W:

  ∠W = (4x +27)° = (4·20 +27)° = (80 +27)°

  ∠W = 107°

Answer:

Step by step explanation:

well this is simble you just do it

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

i think its 1.5 im not sure tho 1.5 sounds the best

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

This means that AB⊥BC

The dilation doesn't affect the shape of the triangle, therefore:

Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is  - 1.

Let the slope of B'C' is x, then:

Correct option is C

Answer:

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

Step-by-step explanation:

Given that:

sample size n = 75

proportion of high school students that drink coffee p = 20% = 0.20

The proportion of the students that did not drink coffee = 1 - p

Let X be the random variable that follows a normal distribution

X \(\sim\) N (n, p)

X  \(\sim\) N (75, 0.20)

\(\mu = np\) = 75 × 0.20

\(\mu =\) 15

\(\sigma = \sqrt{p (1-p) n}\)

\(\sigma = \sqrt{0.20(1-0.20) 75}\)

\(\sigma = \sqrt{0.20*0.80* 75}\)

\(\sigma = \sqrt{12}\)

\(\sigma = 3.464\)

Now ; if 14 or more people drank coffee ; then

\(P(X \geq 14) = P(\dfrac{X-\mu }{\sigma} \leq \dfrac{X-\mu}{\sigma})\)

\(P(X \geq 14) =P(\dfrac{14-\mu }{\sigma} \leq \dfrac{14-15}{3.464})\)

\(P(X \geq 14) = P(Z \leq \dfrac{-1}{3.464})\)

\(P(X \geq 14) = P(Z \leq -0.28868)\)

From the standard normal z tables; (-0.288)

\(P(X \geq 14) = P(Z \leq 0.38667)\)

\(P(X \geq 14) = 1 - 0.38667\)

\(P(X \geq 14) = 0.61333\)

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

Answer:

The 95% confidence interval is  \( 3.462 <  \mu <  4.138 \)

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  50  

    The sample mean is  \(\=  x =  3.80\)

     The standard deviation is  \(\sigma  =  1.19\)

Given that the confidence level is  95%  then the level of confidence is mathematically represented as

     \(\alpha =  (100 - 95)\%\)

=>    \(\alpha =  0.05 \)

Generally from the t distribution table the critical value  of  \(\frac{\alpha }{2}\) at a degree of freedom of  \(df =  50 -1 = 49\) is  

   \(t_{\frac{\alpha }{2} ,49 } =  2.0096\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E =2.0096 *  \frac{1.19}{\sqrt{ 50} }\)

=>   \(E = 0.3381 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  \mu <  \=x  +E\)

      \( 3.80 -0.3381 <  \mu <  3.80 +0.3381\)

=>    \( 3.462<  \mu <  4.138 \)

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer:

no

Step-by-step explanation: if a scale is proportional it will have the same legnth so it is c

if im wrong then go with b

Answer:

Step-by-step explanation:

y - y₁ = m (x - x₁) would be your formula, since it's parallel you already have your slope, -x (which also equals 1 so technically -1). You have a point (8,9) and a slope -1, all you need to do is plug it in the formula.

Hope this helped!!

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Solution

For this case the oerimeter is given by:

Where w = 8 inches and h = 10 inches and replacing we got:

then the solution would be 36 in

The solutions of the system of equations are (-2, 1) and (-4, 5). The answer is D) (-4,5) and (-2,1).

What is equation ?

In mathematics, an equation is a statement that two expressions are equal. It typically contains one or more variables, which are unknowns that can take on different values. An equation is written using an equal sign (=) to indicate that the expressions on either side have the same value.

To solve the system of equations y = -\((x+2) ^{2}\) + 1 and y = 2x + 5, we can set the two expressions for y equal to each other and solve for x:

-\((x+2) ^{2}\) + 1 = 2x + 5

Expanding the left side and simplifying, we get:

-x*x - 4x - 4 + 1 = 2x + 5

-x*x - 6x - 8 = 0

Dividing both sides by -1, we get:

x*x+ 6x + 8 = 0

Factoring the left side, we get:

(x+2)(x+4) = 0

So the solutions for x are x = -2 and x = -4.

To find the corresponding y-values for each solution, we can plug in each value of x into either equation and solve for y. Let's use the equation y = -\((x+2) ^{2}\)+ 1:

When x = -2, y = -\((x+2) ^{2}\) + 1 = -(0) + 1 = 1.

When x = -4, y =-\((x+2) ^{2}\)+ 1 = -(-4) + 1 = 5.

Therefore, the solutions of the system of equations are (-2, 1) and (-4, 5).

The answer is D) (-4,5) and (-2,1).

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Answer:

A) (-4,-3) and (-2,1)

Step-by-step explanation:

If you graph the system on desmos and graph the points you will see that those are the points that give a solution to the system

Answer:

23/2000

Step-by-step explanation:

1.15%=0.0115=115/10000

simplified

23/2000

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

the lenght of the shortest side is 12

Step-by-step explanation:

So first add them all up becuase perimeter

3x+3x+5x-4+5x-4

You’ll get 16x-8

16x-8=56

16x=64

x=4

So then plug it in

3x=3*4=12

5x-4=5*4-4=16

so 12 is the shortest side

Answer:

Step-by-step explanation:

As per given the formula for distance is:

If s = 9 m/s, then the distance is: