given g(x) = -x - 4, find g(-2)

Considering a linear function for the radius, we have that:

A linear function is modeled by:

\(y = mx + b\)

In which:

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

\(r(t) = 0.03t + 48\)

Thus, the volume of the sphere is given by:

\(V = \frac{4\pi r(t)^3}{3}\)

\(V(t) = \frac{4\pi(0.03t + 48)^3}{3}\)

After 300 seconds, the volume in cubic inches is given by:

\(V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735\)

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Answer:6 1296720 1.29672 × 106

5 1296700 1.2967 × 106

4 1297000 1.297 × 106

3 1300000 1.30 × 106

2 1300000 1.3 × 106

1 1000000 1 × 106

Step-by-step explanation:

The required solution for the coordinate and the slope of the line, 1. missing coordinate is 2. Slope of the line 9x + 2y = -7 is m = -9/2

Here,
1.
Standard equation of the line,
y = mx + c
From the given, we have m = -5 and a point (5,- 7)
Now,

-7 = -5 * 5 + c
c = -7 + 25
c = 18
equation become
y = -5x + 18
Now putting y = 3
3 = -5x + 18
-15 = -5x
x = 3
So the required missing coordinate is (3, 3)

2.
Slope of equation 9x + 2y = -7
9x + 2y = -7
y = -9/2 -7/2

The coefficient of x is the slope of the equation. So,
m = --9/2

Thus, the required solution for the following problem of the line,
1. missing coordinate is
2. Slope of the line 9x + 2y = -7 is m = -9/2.

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The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

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The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

-----------------------

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

-----------------

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

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Answer:

es pepo cumbia

o PVP TU PON LA SALA Y YO LA HUMILLACIÓN

Answer:

2x-1+12=6x+3

X = 2

Explain:

2x-1+12=6x+3

2x+11+6x+3

( 2x+11 )+(-11-6x)=(6x + 3) + (-11  - 6x)

so that means

X=2

Answer:

290 in²

Step-by-step explanation:

Using the net of the box given, we can see that there are 4 equal rectangles and 2 equal squares that make up the prism.

Area of the 4 rectangles = 4(60) = 240 in²

Area of the 2 squares = 2(25) = 50 in²

Therefore,

Surface Area of the prism = 240 + 50 = 290 in²

Answer:

The surface area of this prism is 290(in)²

Step-by-step explanation:

The surface area of a box is equal to the sum of the areas of each side of the box.

\(2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (widht) \times (height)\)

Substitute the values of the length l=5, the width w=5, and the height h=12 into the formula.

\(2 \times 5 \times 5 + 2 \times 5 \times 12 + 2 \times 5 \times 12\)

Simplify each term.

\(50 + 120 + 120\)

Simplify by adding numbers.

\(290(in)^{2} \)

Hence, The surface area of this rectangular prism is 290in².

Answer:

The one on the top right

Step-by-step explanation:

For 1 ticket its $10. That graph shows each number of tickets by 10.

The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

we have the inequality

|6W-7|+7 ≤ 1

step 1

Solve the first case (positive case)

+(6w-7)+7 ≤ 1

6w ≤ 1

w ≤ 1/6

The solution to the first inequality is (-infinite, 1/6]

step 2

Solve the second case (negative case)

-(6w-7)+7 ≤ 1

Multiply by -1 on both sides of the inequality

(6w-7)-7 ≥ -1

6w-14 ≥ -1

6w ≥ -1+14

6w ≥ 13

w ≥ 13/6

The solution to the second inequality is [13/6, infinite)

therefore

The solution toof the given inequality is

(-infinite, 1/6] ∩ [13/6, infinite)=Ф

there is no solution

9514 1404 393

Answer:

  4 + 4 = 8

  5 + 5 = 10

Step-by-step explanation:

If we assume Mr Noris restricted himself to integer facts, we require both ...

  2n > 6

  n < 6

Dividing the first inequality by 2 gives ...

  n > 3

Writing the two inequalities as a compound inequality, we have ...

  3 < n < 6

There are two integers that satisfy this requirement:

  n = 4 or n = 5

So, the doubles fact could have been either of ...

  4 + 4 = 8

  5 + 5 = 10

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer:

answer is 13 inch.,

Step-by-step explanation:

BCD is  equilateral triangle so all side is equal.

and ABD is right angled  triangle so. use pythagoras  theorem.

BD = 13 inch then DC also 13 inch

Answer:

30

Step-by-step explanation:

third side is the hypotenuse since it is opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

24^2 + 18^2 = c^2

576 + 324 = c^2

900 = c^2

\(\sqrt{900}\) = c

30 = c

therefore third side is 30.

Answer:

30

Step-by-step explanation:

\( {24}^{2} + 18 {}^{2} = c {}^{2} \\ 576 + 324 = c {}^{2} \\ \sqrt{900 = \sqrt{c }^{2} } \\ = 30\)

The asymptotes of the reciprocal function are x = 3 and y = 4. Also, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

The function is given as:

f(x) = -2[1/0.5(x -3)] + 4

A reciprocal function is generally represented as:

f(x) = a[1/(x -c)] + k

So, we have:

a = -2

c = -3 * 0.5

c = -1.5

k = 4

d = 0

Hence, the values of a, c, d and k are -2, -1.5, 0 and 4

We have:

f(x) = -2[1/0.5(x -3)] + 4

Set the radical to 0

y = 0 + 4

Evaluate

y = 4

Set the denominator to 0

x - 3 = 0

Evaluate

x = 3

Hence, the asymptotes are x = 3 and y = 4

See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4

The table of values is

x         y

-4        4.6

-2      4.8

2        8

4        0

From the graph of the function, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

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Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

Answer:

=$0.42

Step-by-step explanation:

Divide 1.26 by 3 and you'll get $0.42

Hope this helps (:

Answer:

41200

Step-by-step explanation:

Turn me into a superhero

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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z = -1.34 <  (a - 70)/9

And if we solve for we got

a = 70 - 1.34 * 9 = 57.95 = 98

So, the value of height that separates the bottom 9% of data from the top 91% is 58.

And the answer for this case would be:

a) 58

What is the Normal distribution and Z-score?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The solution to the problem

Let X be the random variable that represents the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (70, 9)

Where μ = 70, and σ = 9

For this case, the figure attached illustrates the situation for this case.

We know from the figure that the lower limit for D accumulates 9% or 0.09 of the area below and 0.91 or 91% of the area above.

we want to find a value a, such that we satisfy this condition:

 P(X > a) = 0.91  (a)

 P(X < a) = 0.09 (b)

Both conditions are equivalent in this case. We can use the z score again in order to find the value a.  

As we can see in the figure attached the z value that satisfies the condition with 0.09 of the area on the left and 0.91 of the area on the right it's z=-1.34. On this case P(Z<-1.34)=0.09 and P(z>-1.34)=0.91

If we use condition (b) from the previous we have this:

P(X < a) = P(X - μ)/σ < (a - μ)/σ) = 0.09

P(z < (a - μ)/σ) = 0.09

But we know which value of z satisfies the previous equation so then we can do this:

z = -1.34 <  (a - 70)/9

And if we solve for we got

a = 70 - 1.34 * 9 = 57.95 = 98

Hence, the value of height that separates the bottom 9% of data from the top 91% is 58.

And the answer for this case would be:

a) 58

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the fractions with the same denominator will be 14/16 and 13/16.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

The given fraction is given are 7/8 and 13/16.

Taking lcm of the denominator will be 16

So the fraction will be 7*2 = 14

So the fractions will be 14/16 and 13/16.

Hence the fractions with the same denominator will be 14/16 and 13/16.

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A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

\(x = \frac{10\,mangoes}{12\,pies}\times 30\,pies\)

\(x = 25\,mangoes\)

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

\(x = \frac{10\,mangoes}{12\,pies}\times 40\,pies\)

\(x = 33.333\,mangoes\)

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

\(x = \frac{10\,mangoes}{12\,pies}\times 50\,pies\)

\(x = 41.667\,mangoes\)

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

\(x= \frac{10\,mangoes}{12\,pies}\times 60\,pies\)

\(x = 50\,mangoes\)

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify