What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°

By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be

[tex]\displaystyle \iint_{\partial R}\mathbf F\cdot\,\mathrm d\mathbf S = \iiint_R\mathrm{div}(\mathbf F)\,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1\frac{\partial(2x^2)}{\partial x} + \frac{\partial(5y^2)}{\partial y} + \frac{\partial(3z^2)}{\partial z} \,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1 (4x+10y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz = \boxed{60}[/tex]

In this exercise we have to calculate the flux by the divergent theorem:

[tex]\int\limits\int\limits_R\, ds = 60[/tex]

By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be:

[tex]\int\limits\int\limits_R {F} \, ds= \int\limits \int\limits \int\limits_R {div(F)} \, dxdydz\\=\int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx dy dz= 60[/tex]

See more about vectorial calculus at : brainly.com/question/6960786

Answer:

1, 2 , 5

Step-by-step explanation:

Correct on edge 2020

The multimedia sources that are best for a student writing a research paper on childhood obesity are:

A documentary produced by an association of pediatricians.

A sound bite of doctors at a forum discussing the issue.

A timeline made by the government showing obesity trends.

Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.

Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.

Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.

To learn more about obesity, refer to the link:

https://brainly.com/question/11366349

#SPJ2

The angles don't need to be lined up vertically, or have one over top another. You could have them laid out horizontally. All that matters is that they are opposite angles after an X shape has been formed by two crossing lines. Vertical angles are always congruent.

Answer:

-5.8

Step-by-step explanation:

Degree of freedom = sample size -1 = 27-1 = 26

Given t = 1.386

This is a two tailed test.

Using a TI83/84 calculator:

2 x tcdf(1e99,-1.386,26) = 0.177520

The p value = 0.177520 (round the answer as needed)

Answer:

66 miles per hour

Step-by-step explanation:

To find the speed, divide the distance by the amount of time:

506 ÷ 7 2/3

= 66

= 66 miles per hour

Answer:

66

Step-by-step explanation:

Notice that the problem is asking us to find the rate for Sean's trip. Since we are also given the distance he is traveling and the travel time, we should use the distance, rate, and time formula.

d=rt

where    d=distance  r=rate  t=time

We are given

d=506 mi

r=?

t=723=233 hr

Solving for rate and then substituting the given information into the distance, rate, time formula gives

r=dt=506233=5061⋅323=66

So Sean drove at a rate of 66 mph.

Answer:

11/100,      0.11,      or 11%

Step-by-step explanation:

Answer:

56 + 6(n - 1)

Step-by-step explanation:

To know which of the equation represent the nth term, we simply test each equation to see the one that will satisfy the table given above.

This can be obtained as follow:

For 56 + 6(n - 1)

1. n = 2

56 + 6(n - 1) = 56 + 6(2 - 1)

= 56 + 6(1)

= 56 + 6

= 62

2. n = 5

56 + 6(n - 1) = 56 + 6(5 - 1)

= 56 + 6(4)

= 56 + 24

= 80

For 56 + 12(n - 1)

1. n = 2

56 + 12(n - 1) = 56 + 12(2 - 1)

= 56 + 12(1)

= 56 + 12

= 68

2. n = 5

56 + 12(n - 1) = 56 + 12(5 - 1)

= 56 + 12(4)

= 56 + 48

= 56 + 24

= 104

For 62 + 6(n - 1)

1. n = 2

62 + 6(n - 1) = 62 + 6(2 - 1)

= 62 + 6(1)

= 62 + 6

= 68

2. n = 5

62 + 6(n - 1) = 62 + 6(5 - 1)

= 62 + 6(4)

= 62 + 24

= 86

For 62 + 12(n - 1)

1. n = 2

62 + 12(n - 1) = 62 + 12(2 - 1)

= 62 + 12(1)

= 62 + 12

= 74

2. n = 5

62 + 12(n - 1) = 62 + 12(5 - 1)

= 62 + 12(4)

= 62 + 48

= 110

From the illustrations made above,

Only equation 56 + 6(n - 1) satisfied the table.

Therefore, the expression 56 + 6(n - 1) can be used to obtain the nth term.

Answer: Distance = 2.449

Step-by-step explanation:

Given that the distance that (5, 1) is from the origin. That is (0,0) to (5,1)

where

X1 = 0

X2 = 5

Y1 = 0

Y2 = 1

The distance from the origin to the point (5, 1) can be calculated by using the formulae

Substitute all the parameters into the formular

D = [tex]\sqrt{(X2-X1) + (Y2-Y1)}[/tex]

D = [tex]\sqrt{(5-0) + (1-0)}[/tex]

D = [tex]\sqrt{5 + 1}[/tex]

D = [tex]\sqrt{6}[/tex]

D = 2.44948

D = 2.449 ( Three decimal places)

Answer:

y = -3x - 2

Step-by-step explanation:

Step 1: State what is known

Slope = m = -3

y-intercept = b = -2

Step 2: Substitute information into y = mx + b

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

y = -3x -2

Therefore the equation in slop intercept form is y=-3x-2

Answer:

Step-by-step explanation:

[tex]m = -3\\y - intercept = -2\\Slope\: intercept \: form :\\y =mx+c\\y = -3x-2[/tex]

Answer:

Step-by-step explanation:

[tex]logx -log(x-1)^2= 2 log(x-1)[/tex]

[tex]logx-2log(x-1) = 2log(x-1)[/tex]

[tex]logx=log(x-1)^4[/tex]

[tex]x=(x-1)^4[/tex]

[tex]x^4-4x^3+6x^2+1=0[/tex]

solve this equation

Answer:

Step-by-step explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

[tex]A(n) = a ({r})^{n - 1} [/tex]

where

a is the first term

r is the common ratio

n is the number of terms

From the question

a = - 6

To find the common ratio divide the next term by the previous term

That's

r = 18/-6 = - 3 or -54/18 = - 3

Since we are finding the 12th term

n = 12

Substitute these values into the above formula

We have

[tex]A(12) = - 6 ({ - 3})^{12 - 1} [/tex]

[tex]A(12) = - 6 ({ - 3})^{11} [/tex]

We have the final answer as

Hope this helps you

Answer:

r = -19/7

Step-by-step explanation:

-3r - 4r - 8 = 11

-7r - 8 = 11

-7r= 11 +8

-7r = 19

Answer: its option "b"

Pentagon;not regular

Step-by-step explanation:

The polygon has 5 sides but all the sides are not equal

hence, it is an irregular pentagon

Hope this helped you!!

Please Mark as Brainliest!! : )

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

So we have the expression:

[tex]39\div(2+1)-2\times(4+1)[/tex]

Recall the order of operations or PEMDAS:

P: Parentheses

E: Exponents

M/D: Multiplication and Division (Whichever First)

A/S: Addition and Subtraction (Whichever First)

Thus, first do the operations inside the parentheses:

[tex]39\div(2+1)-2\times(4+1)\\=39\div(3)-2\times(5)[/tex]

Now, do division and multiplication:

[tex]39\div(3)-2\times(5)\\=13-2\times5[/tex]

And the multiplication:

[tex]13-2\times5\\=13-10[/tex]

And finally, subtract:

[tex]13-10\\=3[/tex]

Answer:

Number of ways top 3 cars finish the​ race = 39,270

Step-by-step explanation:

Given:

Total number of cars = 35

Number of top cars = 3

Find:

Number of ways top 3 cars finish the​ race

Computation:

It is a permutation based problem.

So,

npr = n! / (n-r)!

35p3 = 35! / (35! - 3!)

35p3 = 35 ! / 32!

35p3 = 35 × 34 × 33

35p3 = 39,270

Number of ways top 3 cars finish the​ race = 39,270

Answer:

m= 4.5 miles

Step-by-step explanation:

Let the number of miles Evelyn can run be m and can be modeled by the equation below

m= kx

Where x Is the Minutes

When m= 3

x= 40

3= k40

k= 3/40

If x= 60

m=3/40(60)

m = (60*3)/40

m= 180/40

m= 4.5 miles

Answer:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

f = 7 pi - 3 pi

f = 4 pi

Answer:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

Subtract 3 pi from each side

f + 3 pi -3pi = 7 pi -3 pi

f = 4 pi

Answer:

B... According to the statement..

Step-by-step explanation:

The mean and median determines the numerical measures of center. The mean is used when showing the center as an average while the median shows the middle value of a data. The range and IQR determines the numerical measures of spread.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

answers below vote brainliest

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)

Midpoint formula:

given two points, (x1, y1) and (x2, y2)

the midpoint is ((x1+x2)/2, (y1+y2)/2)

-3+x2 = 2*2

x2 = 7

Answer:

Commutative property of addition

Step-by-step explanation:

This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.

Answer:Communitive Property of Addition

Step-by-step explanation:

A+B=B+A 3+7=7+3

The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

-4.317

Step-by-step explanation:

The z test statistic for testing of 1-proportion can be computed as

[tex]z=\frac{phat-p}{\sqrt{\frac{pq}{n} } }[/tex]

We know that

phat=x/n.

We know that x=40 and n=120.

Thus,

phat=40/120=0.3333

p=hypothesized proportion=0.53

q=1-p=1-0.53=0.47

So, required z-statistic is

[tex]z=\frac{0.3333-0.53}{\sqrt{\frac{0.53(0.47)}{120} } }[/tex]

[tex]z=\frac{-0.1967}{ 0.04556 }[/tex]

z=-4.317.

Thus, the required test statistic value for given hypothesis is z=-4.317.

Hi Hello.....How r u......

Answer:

Yes, because there is no possibility for overlap between the categories.

Answer & Step-by-step explanation:

You can find a rational fraction equivalent to [tex]-\frac{1}{5}[/tex]  by multiplying the numerator and denominator by the same number. The number can be any:

[tex]-\frac{1}{5} *3\\\\-\frac{1}{5}*\frac{3}{3}=-\frac{3}{15}[/tex]

This works because if you simplify the new number, it will have the same value as the first fraction.

If you simplify both fractions to a decimal value, they both equal -0.2.

Answer:

Hey there!

Sine 61=x/500

Sine 61(500)=x

x=437.3

Let me know if this helps :)

Answer:

3.12732 × 10⁹ beats

Step-by-step explanation:

Given that, in 1 min, the heart of an individual makes 70 beats, the number of beats the heart of the healthy individual makes in 85 years can be calculated as follows:

1 yr = 365 days, therefore,

85yrs = 85*365 = 31,025 days

1 day = 24 hours

31,025 days = 31,025*24 = 744,600 hours.

1 hr = 60 mins

744,600 hours = 744,600*60 = 44,676,000 mins

This means the individual lived for 44,676,000 mins (85yrs)

If 70 beats are made in 1 min, therefore, in 85yrs, the individual will make:

44,676,000*70 = 3,127,320,000 beats = 3.12732 × 10⁹ beats in 85yrs