Please help, basic algebra. Find the value of x

The given vector field is F = (x + ln(y^2z^2 + 10))i + (y - 5e^(xz))j + (xcos(x^2 + y^2))k.

The closed box is defined by the inequalities: 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3.

Let S be the surface of the box, and n be the outward-pointing normal unit vector. The surface integral of F over S is given by the formula:

∫∫S F · ndS

We calculate the flux over each of the six surfaces and add them up.

For the surface y = 0, we have n = -j, hence ndS = -dydz. Also, F = (x + ln(y^2z^2 + 10))i + (xcos(x^2 + y^2))k. The flux over this surface is given by:

-∫∫S F · ndS = -∫0^3 ∫0^1 (0 + ln(0 + 10))(-1) dxdz = 0

For the surface y = 2, we have n = j, hence ndS = dydz. Also, F = (x + ln(y^2z^2 + 10))i + (y - 5e^(xz))j + (xcos(x^2 + y^2))k. The flux over this surface is given by:

∫∫S F · ndS = ∫0^3 ∫0^1 (2 - 5e^(xz)) dzdx = 2(1 - e^x)/x

For the surface x = 0, we have n = -i, hence ndS = -dxdy. Also, F = (ln(y^2z^2 + 10))i + (y - 5e^(xz))j + (0)k. The flux over this surface is given by:

-∫∫S F · ndS = -∫0^2 ∫0^3 (ln(y^2z^2 + 10))(-1) dydz = -20/3

For the surface x = 1, we have n = i, hence ndS = dxdy. Also, F = (1 + ln(y^2z^2 + 10))i + (y - 5e^(xz))j + (cos(x^2 + y^2))k. The flux over this surface is given by:

∫∫S F · ndS = ∫0^2 ∫0^3 (1 + ln(y^2z^2 + 10)) dydz = 69/2

For the surface z = 0, we have n = -k, hence ndS = -dxdy. Also, F = (x + ln(y^2z^2 + 10))i + (y - 5e^(xz))j + (xcos(x^2 + y^2))k. The flux over this surface is given by:

∫∫S F · ndS = ∫0^2 ∫0^1 (x + ln(y^2 * 9 + 10)) dydx = 2 + 1/3

Hence, the total flux is given by:

Total Flux = 2(1 - e^x)/x - 20/3 + 69/2 - 1 + 2 + 1/3 = 73/6 - 2e

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Answer:

9+99=108 n value is 9

Step-by-step explanation:

hope it helps you

Answer:

Step-by-step explanation:

This question can be translated to:

"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"

As you can observe, the volumetric form is a cube with 8 meters long each edge.

We know the volume of a cube is defined as

\(V=l^{3}\)

Where \(l=8 \ m\), replacing this value, we have

\(V=(8 \ m)^{3} \\V=512 \ m^{3}\)

Therefore, the shelter can contain 512 cubic meters of water.

Answer:

Roses = x = 100

Carnations = y = 110

Lilies = z = 120

Step-by-step explanation:

Roses = $4.50

Carnations = $3.00

lilies = $2.50

Total flowers ordered = 330

Total cost = $1,080

Let

Roses = x

Carnations = y

Lilies = z

x + y + z = 330

4.50x + 3y + 2.50z = 1080

There are 20

more lilies than roses

z = x + 20

Substitute z = x + 20 into the equations

x + y + (x + 20) = 330

4.50x + 3y + 2.50(x + 20) = 1080

x + y + x + 20 = 330

4.50x + 3y + 2.50x + 50 = 1080

2x + y = 330 - 20

7x + 3y = 1080 - 50

2x + y = 310 (1)

7x + 3y = 1030 (2)

Multiply (1) by 3

6x + 3y = 930 (3)

7x + 3y = 1030 (2)

Subtract (3) from (2)

7x - 6x = 1030 - 930

x = 100

Substitute x = 100 into (1)

2x + y = 310

2(100)+ y = 310

200 + y = 310

y = 310 - 200

= 110

y = 110

Substitute the value of x and y into

x + y + z = 330

100 + 110 + z = 330

210 + z = 330

z = 330 - 210

= 120

z = 120

Roses = x = 100

Carnations = y = 110

Lilies = z = 120

Answer:

500

Step-by-step explanation:

The probability is 1/6.

So, find 1/6 of 3,000.

1/6 * 3,000 = 3,000/6 = 500

Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

Answer:

no

Step-by-step explanation:

if it has to be linear it would have to be a straight line in this case the function and line are not perfectly straight instead this is exponential growth

Answer:

y = 5x - 2

Step-by-step explanation:

ANSWER:

3rd option: {-4, -3, -2, 2}

STEP-BY-STEP EXPLANATION:

We have the following function:

And it only has as domain: {−2, 0, 2, 10}

So we evaluate at each value and the range would be the corresponding output value for each domain value, just like this:

So the correct answer is 3rd option {-4, -3, -2, 2}

Answer:

B. (0,5). Hope this helps you

Answer:

\(y=\frac{6}{13}x+\frac{107}{13}\)

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

\(m=\frac{y2-y1}{x2-x1}\)

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

\(m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}\)

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

\(y=mx+b\)

Plug the slope and any point of your choice into the equation. I'll use point b:

\(11=(\frac{6}{13})6+b\)

Now, solve for b:

\(11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}\)

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

\(y=\frac{6}{13}x+\frac{107}{13}\)

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

\(y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5\)

That works out.

Answer:

200

Step-by-step explanation:

Based on the given conditions, formulate: 500x2 ÷5

Calculate the product or quotient: 100/5

Cross out the common factor: 200

Have a nice day! :D

Answer:

Well first you would just have to look at the equation for the volume of a pyramid. This is:

V = (length * width * height) / 3

and so we can just say all pyramids have a volume of V.

So now we want the base to be 3 times bigger which means we would have to multiple the length and width by 3 and the new volume equation would be

V = (3*length * 3 * width * height) / 3

we can factor the two 3's from the parenthesis and get

V = 9(l * w * h) /3

if we are looking at a ratio of how much the volume increases we can say

aV = b(l * w * h) /3

since:

V = (l * w * h) / 3

then:

aV = bV, divide both sides by V and:

a = b

using this we can see that the volume increases by a factor of 9 for 3 times bigger

now for 6 times

V = (6 * l * 6 * w * h) / 3, pull 6 * 6 out

V = 36(l * w * h) /3

and this one increases by factor of 36

if we see a pattern it always increases by the square of the factor of the growoth of the base

so for 9 times bigger it would be 9^2 = 81

and for 27 times bigger it would be 27^2 = 729

Step-by-step explanation:

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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Answer:

Step-by-step explanation:

35x2^10

Answer:

35,840

Step-by-step explanation:

(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840

Simpson's Paradox makes this claim possible.

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the batting averages as found online are given as follows:

Season                      Derek Jeter                           David Justice

1995                           12/48 = 0.250                         104/411 ≈ 0.253

1996                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bat's ratio are:

(183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

This shows that  Derek Jeter's overall average was better than Justice's average.

Thus, Simpson's Paradox makes this claim possible.

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As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27

Here we have given that the following table of data is presented

Time,                       Score of Derek Jeter               Score of David Justice

At 1995,                         ≈  0.250                                     ≈ 0.253

At 1996,                          ≈ 0.314                                      ≈ 0.321

Then the overall score for Derek Jeter is calculated by

=>  (183 + 12)/(582 + 48) ≈0.310  

And the overall score for  David Justice is calculated as

=> (104+45)/(411+140) = 0.27

Here the resulting values shows that  Derek Jeter's overall average was better than Justice's average  

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Answer:

f

Step-by-step explanation:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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If u and v are in Rn, then uTv and vTu are related in the following way:
uTv = vTu.

This is because the transpose of a product of two vectors is equal to the product of the transposes in reverse order. In other words, (AB)T = BT AT.

Similarly, uvT and vuT are related in the following way:

uvT = (vuT)T

This is because the transpose of a product of two vectors is equal to the product of the transposes in reverse order.

So, if we take the transpose of both sides of the equation uvT = vuT, we get (uvT)T = (vuT)T, which simplifies to vuT = (vuT)T.

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Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

y=5

Step-by-step explanation:

Answer:

Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

Answer:

18 and mint chocolete chip ice cream :)

Step-by-step explanation:

brainliest?...

9+9=18

And My favorite food is fries with chicken salt ;)

Answer:

A) $17.50

B) $11.25

C) $5

Step-by-step

1.25 x the amount of snacks

Therefore , the solution of the given problem of test statistic comes out to be it help us decide whether we successfully deny the null hypothesis or not.

The only approach that comes close to a Z-test uses the Z-statistic, which verifies the accuracy of the traditional null hypothesis. Think about extrapolating a score of 2.5 E s in the outcomes of a 2 X y exam with a 0.05 level of significance. 0.0124 is the p-value associated with this Z-value.

Here,

A two-sample t-test for the disparity in values between the two groups is the proper reasoning method in this situation.

(new fertilizer vs. another fertilizer).

When comparing the means of two populations, we use a two-sample t-test because we have two separate samples (plots treated by a fresh fertilizer or plots treated with another fertilizer).

The alternative hypothesis could be that there is a substantial difference between the means of both populations,

while the null hypothesis used for the test would be that there isn't a difference between an means of the two populations.

The t-test is used to compute a test statistic and a p-value,

which help us decide whether we successfully deny the null hypothesis or not.

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For all functions f mapping the interval [0, 1] to the set of real numbers, there exists an M greater than 0 such that for all x in [0, 1], the absolute value of f(x) is less than or equal to M.

Given that for each continuous real valued function on [0,1], there is a number M such that for all x in the interval [0,1] we have that the absolute value of f(x) is below M.

Statement: Let f be a continuous real-valued function on [0, 1]. Then there exists an M > 0 such that |f(x)| ≤ M for all x ∈ [0, 1].

Symbolic Statement: ∀f: [0,1] → ℝ∃M>0 ∀x∈[0,1] |f(x)|≤M.

The above symbolic statement is read as:

For all functions f mapping the interval [0, 1] to the set of real numbers, there exists an M greater than 0 such that for all x in [0, 1], the absolute value of f(x) is less than or equal to M.

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Answer:

its y = mx + b

Step-by-step explanation:

because the b bracket is above 0 its positive. IM no pro so I don't have a long essay like explanation but its b

Answer:

C

Step-by-step explanation:

I'm pretty sure its y=mx+b

Each numbered angle has a measurement of 109°, 109°, and 71°, respectively.

Two rays that come together at a vertex or node, also known as a common point, to produce an angle for any figure.

Angles are frequently expressed in degrees or radians.

Think about triangle

A triangle's internal angles add up to 180°.

URS, UVT, and URT add up to 180°.

35° + 36° + ∠1 = 180°

∠1 = 180° - (35° + 36°)

∠1 = 180° - 71°

∠1 = 109°

The angles 1 and 2 are now vertically opposed. This makes them equal.

∠2 = 109°.

For triangle NQO once more

∠2 + ∠3 + 35° = 180°

36° + ∠3 + 35° = 180°

∠3 = 180° - (35° + 36°)

∠3 = 180° - 109°

∠3 = 71°

As a result, 1, 2, and 3 are 109, 109, and 71 degrees, respectively.

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