For g (2) = 3x – 2 find the value of x
-
for which g(x) = 10

Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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Answer:

FE

Step-by-step explanation:

FE- radius

AC- diameter

ED- arc

DC- arc

» Which line segment is a radius of circle F?

_______________∞_______________

The probability of the data vale more extreme than 3.65 is 0.000131.

First of all given that x(value) = μ+3.65σ , where μ is the mean and σ is the standard deviation.

we know that z-score = (x - μ)/σ

z-score = (μ+3.65σ - μ)/σ

z = 3.65σ/σ

z = 3.65

From the normal distribution table,

P(z>3.65) = 0.000131

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Answer:

Step-by-step explanation:

Hope this Helps ;)

The value of the given integral is: v = [(4√(3) - 5)π/3]

To evaluate the given integral, let's calculate it step by step:

First, let's integrate with respect to z from 1 to √(4 - x² - y²):

∫[1, √(4 - x² - y²)] dz = √(4 - x² - y²) - 1

Next, let's integrate the above expression with respect to y from -√(3 - x²) to √(3 - x²):

∫[-√(3 - x²), √(3 - x²)] (√(4 - x² - y²) - 1) dy

To simplify the integration, let's convert to polar coordinates:

x = r cosθ

y = r sinθ

The bounds of integration in polar coordinates will be:

r: 0 to √(3)

θ: 0 to 2π

Now, we can rewrite the integral in terms of polar coordinates:

∫[0, 2π] ∫[0, √(3)] (√(4 - r²) - 1) r dr dθ

Evaluating the inner integral with respect to r:

∫[0, 2π] [(-1/3) (4 - r²)\(^{3/2}\) - (1/2) r²] | [0, √(3)] dθ

∫[0, 2π] [(2√(3)/3) - (1/3)(4 - 3)\(^{3/2}\) - (1/2)(√(3))²] dθ

Simplifying further:

∫[0, 2π] [(2√(3)/3) - (1/3) - (3/2)] dθ

∫[0, 2π] [(2√(3)/3) - (5/6)] dθ

Now, integrating with respect to θ:

[(2√(3)/3)θ - (5/6)θ] | [0, 2π]

[(2√(3)/3)(2π) - (5/6)(2π)] - [(2√(3)/3)(0) - (5/6)(0)]

[(4√(3)/3)π - (5/3)π] = [(4√(3) - 5)π/3]

Therefore, the value of the given integral is: v = [(4√(3) - 5)π/3]

Complete Question:

Evaluate the integral:

v = ∫∫∫ [−√3, √3] [−√(3−x²), √(3−x²)] [1, √(4−x²−y²)] dz dy dx

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Answer:

-3<x<-2

And

3.5<x<4.5

Step-by-step explanation:

Answer:

the answer is 2..............

Answer:

2÷1= 2

Step-by-step explanation:

2X1=2 so 2÷1=2

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From up to down ;

_________________________________

The first box :

\(f(n) = 3. ({2})^{n - 1} \)

The second box :

\(f(n) = 2. ({4})^{n - 1} \)

The third box :

\(f(n) = 2. ({6})^{n - 1} \)

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Answer:

52.5

Step-by-step explanation:

Since ABCD is a parallelogram, we know that angle ABC and angle ADC are congruent, and since angle ABC is 105, angle ADC is also 105. Since ADC lies on a line, which is 180 degrees, we can calculate ADE by doing 180 - 105 = 75

Next, we must realize that since ED is equal to AD, then angle AED is congruent to DAE. So now we have the three angles for triangle ADE

x (angle AED), x(angle DAE) and 75(angle ADE)

Since we know that a triangle has 180 degrees, we just formulate the following:

2x + 75 = 180

2x = 105

x = 52.5

Answer:

Step-by-step explanation:

Remark

The diagram makes the line AB look like it is tilted a bit to the right. I'm going to assume that isn't right. AB extended is a straight line. ADC is supplementary to the 80o angle.

Solution

<ADC + 80o = 180                   They are on the same straight line

<ADC = 180 - 80                      Subtract 80 from both sides

<ADC = 100o

Opposite angles of a cyclic quadrilatral are supplementary

<ADC + <ABC = 180                Property of cyclic quadrilaterals

100 + <ABC = 180                    Subtract 100 from both sides

<ABC = 80 degrees.

<x + <ABC = 180

<x + 80 = 180

<x = 100 degrees

Discussion

I cannot be sure what the arc at B is equal to. Is the arc = 80 o or is <ABC = 80. And it is unresolvable. My suggestion is that you ask your teacher.

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

Answer:

No

Step-by-step explanation:

u and o arent elements of {a, b, c, d, e, f, g, h, i}

Answer:

ishaan is 21

chris is 7

Step-by-step explanation:

Subs 3C from (1) for I in(2):

3C = C + 14   —>  C = 7,  I = 21

Answer:

y = 13x -107

Step-by-step explanation:

(10 - -3) / (9-8) =13

10= 13* 9 + b

b = 10 - 117 = -107

Answer:

Yes you're right, the answer is $18.

Step-by-step explanation:

$90/5=$18

The common difference of the arithmetic sequence is found as -10.

For the given question;

The arithmetic sequence is given as;

28, 14,....

Where 28 is the first term; a₁ = 24.

14 is the second term; a₂ = 14.

Then the common difference 'd' is calculated as;

d =  a₂ - a₁

put the values.

d = 14 - 24

d = - 10

Thus, the common difference of the arithmetic sequence is found as -10.

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Answer:

y = (x + 2)² − 11

Step-by-step explanation:

This is the vertex form

Answer:

y = (x + 2)^2-11

Step-by-step explanation:

Change your equation

7 = x^2 + 4

Then do (b/2)^2=____

So, (4/2)^2 = 4

Add 4 to both sides (2 squared is 4)

So the equasion would then be:

4 + 7 = x^2 +4x + 4

Then find what 4 and 4 have in common (your regular b, and then the answer you found after calculating your (b/2)^2)

4x = 2 + 2

4 = 2^2

Then just integrate 2 into your answer: y= (x + 2)^2 - 11

The solutions to both sets of simultaneous equations by graphical method are; No solution

There are three main ways to solve simultaneous linear equations and they are;

1) Elimination method

2) Substitution method

3) Graphical Method

In this question, we are using the graphical method where the solution will be the coordinate of the point of intersection.

1) The 2 simultaneous linear equations are;

y = ¹/₂x + 1

-2x + 4y = 4

The graph of these 2 equations is as attached.

From the first graph attached, we see that both lines overlap each other and as such don't have any point of intersection which tells us there is no solution to the simultaneous linear equations

2) The 2 simultaneous linear equations are;

y = -x - 3

y + x = 2

The graph of these 2 equations is as attached.

From the second graph attached, we see that both lines don't intersect each other and as such don't have any point of intersection which tells us there is no solution to the simultaneous linear equations

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Answer:

15 + -12

Step-by-step explanation:

15 + -12 = -27 any positive plus a negative would be a negative while two positives equal a positive and two negatives equal a negative

Answer: x=16

Step by step explanation:

3(x-16) /4  = 5/4 (2x-32)
3x-48 / 4  = 5/4 (2x-32)

3x-48 / 4 = 5/4 (2x-32) / 4

     X=16       sorry, that's the best I can explain it ;-;

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

    \(\frac{3}{4}(x-16)=\frac{5}{4}(2x-32)\\ 3(x-16) = \frac{5}{4}(2x-32) * 4\\ 3x - 48 = 5(2x-32)\\ 3x-48=10x-160\\3x-10x=-160+48\\-7x = -112\\x=16\)

Answer: 16

Hope that helps!

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y=1.5x

The weight of one single Twix candy bar: 1.5 ounces.

1) A proportional relationship, graphically is described as a linear function with the line passing through the origin.

As we see in the graph.

2) If 20 candy bars weigh 30 ounces, then we can set a table:

Twix candy bar (x) | weight (y)

20 30

10 15

5 7.5

1 1.5

Therefore we can write an equation, for that proportional behavior:

y=kx

y=1.5x

The meaning of (1,1.5) is simply the unit rate for the Twix candy bar and its weight. Or in other words, the weight of one single Twix candy bar: 1.5 ounces.

3) The answers are:

y=1.5x

The weight of one single Twix candy bar: 1.5 ounces.

Answer:

70

Step-by-step explanation:

first step (4+3)=7

second step 10×7=70

If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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In total there will be 3284 plants for k= 4000

Let, n = 3000

N = ?

W are to calculate N here.

Given K = 4000

using the equation,

N = n + 0.02 (n) [ (1 - n)/K ]

N = 3000 + 0.02 (3000) [(1 - 3000) / 4000]

N = 3060 [1 - 3000/4000]

N = 3060[1-3000/4000]

N = 3060[1 - 3/4]

N = 3060[1/4]

N = 3284

So, there will be 3284 plants when k = 4000.

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Answer:

the second one

Step-by-step explanation:

because if you think it how it folds the second one doesnt form a tetrahedron.You can try it by drawing it in a letter then cutting it to see which forms a shape and which doesnt.

The correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.

What is a polynomial?

In mathematics, a polynomial is an expression consisting of variables (also known as indeterminates) and coefficients, which involves only the operations of addition, subtraction, and multiplication. Polynomials can have one or more terms, and each term can have one or more variables with non-negative integer exponents.

Chen's error is in the second line where they added the terms -(-2p²-mp+1) without distributing the negative sign to each term inside the bracket. The correct way to subtract a polynomial is to change the sign of each term inside the bracket and then add them to the other polynomial. So, the correct simplification would be:

P²+7mp+4-(-2p²-mp+1)

= P²+7mp+4+2p²+mp-1 (Distributing the negative sign)

= 3p²+8mp+3

Therefore, the correct answer is 3p² + 8mp + 3, which is different from Chen's answer of 3p² + 6m + 5.

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Answer:

Step-by-step explanation:

The volume of the pyramid is approximately 42.4 cubic centimeters.

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The formula for the volume of a pyramid is given by:

V = (1/3) x Base Area x Height

For a pyramid with a square base, the Base Area can be calculated by:

Base Area = side length of the base x side length of the base

Substituting the given values, we get:

Base Area = 4.8 cm * 4.8 cm = 23.04 sq. cm

Now, we can calculate the volume of the pyramid:

V = (1/3) x 23.04 sq. cm x 4.6 cm

V = 42.3936 cubic cm

Rounding to the nearest tenth of a cubic centimeter, we get:

V ≈ 42.4 cubic cm

Therefore,

The volume of the pyramid is approximately 42.4 cubic centimeters.

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