What is the value of x?
4
5
X-
11
10
3
10
ST
8 25
1

(i will mark brain list, also there is a picture)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for the rate of change

STEP 2: Write the given intervals

STEP 3: Find the average rate of change of f(x)

We substitute the coordinates into the rate of change formula:

STEP 4: Find the rate of change of g(x)

STEP 5: Find the rate of change of h(x)

STEP 6: Write the average rates of change for the functions

The average rates of change in ascending order will be -8,-3,-1

Hence, the arrangement of the functions according to their ascending order of average rates of changes are:

The function f(x) = ∛(x - 8) is continuous on the interval [8, ∞), meaning it is continuous for all values of x greater than or equal to 8.

The function f(x) = ∛(x - 8) is continuous for all values of x except where the expression inside the cube root becomes negative. In other words, the function is defined for all values of x that make (x - 8) non-negative.

To find where f(x) is continuous, we need to solve the inequality (x - 8) ≥ 0. Adding 8 to both sides of the inequality, we have x ≥ 8. This means that f(x) is defined and continuous for all values of x greater than or equal to 8.

In interval notation, we express the interval of continuity as [8, ∞), where the square bracket at 8 indicates that 8 is included in the interval, and the infinity symbol (∞) represents all values greater than 8.

In summary, the function f(x) = ∛(x - 8) is continuous on the interval [8, ∞), meaning it is continuous for all values of x greater than or equal to 8.

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Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer:

Well what i got was x= 3/2 + h/2 + k/4= 6+ 2h+k=4

I'm not sure if that exactly helps but it's what i got

Step-by-step explanation:

Answer:

2010: 1.79 dollars, 2012: 1.59 dollars

Step-by-step explanation:

In 2010,

1 Canadian dollar = .56 British pounds.

We want to find how many pounds go into a dollar, so we somehow have to make the equation equal to 1 pound. To do this, we can multiply the amount of pounds by its reciprocal to equal 1. To find the reciprocal of a number, we simply divide 1 by it. For .56, this is (1/.56). Therefore, we can multiply both sides by (1/.56) to get

1.79 Canadian dollars = 1 British pound

Similarly, for 2012, we have 1 dollar = .63 pounds. Multiplying both sides by 1/.63, we get

1.59 Canadian dollars = 1 British pound

Answer:

From SOHCAHTOA

Cos17=73/y

y=73/cos17

y=76.34cm

Option B

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

The radius of the given sphere will be 9/π.

So, the formula for the volume of a sphere: V = 4/3πr³

Volume is 972, then the radius will be:

Therefore, the radius of the given sphere will be 9/π.

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Answer:

\( log_{3}( {2x}^{4} + 8 {x}^{3} ) - 3 log_{3}(x) = 2 log_{3}(x) \\ = log_{3}( \frac{2 {x}^{4} + 8 {x}^{3} }{ {x}^{3} + {x}^{2} } ) \\ = log_{3}( \frac{2 {x}^{2} + 8x}{x + 1} )\)

Answer:

c on edge

Step-by-step explanation:

Answer:

This is False.

Step-by-step explanation:

I hope this helped you! :)

Answer: false

Step-by-step explanation:

Answer:

Step-by-step explanation:

This question of of Trigonometry

Tan means the ratio of sides which are opposite to the given angle divided by the adjacent side to the angle (NOT THE HYPOTENUSE)

So Tan(Unknown angle) = 5/14
Unknown angle = 19.6 Degrees

Answer:

-17/8

Step-by-step explanation:

-10-7         -17

----------  = -------

4-(-4)          8

The answer to this is C because one X vslue can not have more than y value. 8 has two y values which means that this is not a function, it should only have one.

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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If there is a zero on the top of the fraction when calculating the slope, then the line is horizontal.

If the numerator (y2 - y1) is zero, it means that the y-coordinates of the two points on the line are the same. This indicates that the line is horizontal, because no matter how far apart the two points are horizontally (i.e., the difference between their x-coordinates), the vertical distance (y2 - y1) between them is zero.

In this case, the denominator (x2 - x1) will be non-zero, because the two points will have different x-coordinates, but since the numerator is zero, the overall fraction will be zero.

So, a zero on the top of the fraction indicates that the line has zero or undefined slope, which happens only for a horizontal or vertical line, respectively. Therefore, if there is a zero on the top of the fraction when calculating the slope, then the line is horizontal.

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Answer:

z=-5

Step-by-step explanation:

divide -77.5 by 15.5, which equals -5

Answer: 45

Step-by-step explanation:

Answer:

independent

Step-by-step explanation:

Answer:

Solution in photo

Step-by-step explanation:

Answer:

x= 30

Step-by-step explanation:

Angle E

E + F + G = 180

E + 60 + 90 = 180

E + 150 = 180

E = 180-150

E = 30

Angle E  is congruent to angle X so the measures must be the same

E = X = 30

X = 30

Answer:

\(E=30\)

Step-by-step explanation:

\(E + F + G = 180\\E + 60 + 90 = 180\\E + 150 = 180 \\E= 180-150 = 30\)

Hope this helps u :)

Answer:

99cm²

Step-by-step explanation:

Area of shaded region=(area of outer rectangle)-(area of inner triangle)

Area of shaded region=(L×W)-(bh/2)

=(12×10)-((6×7)/2)

=120-(42/2)

=120-21

=99cm²

The height of squared pyramid is \(\frac{1}{3}h\) unit.

A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

Volume of cube \(= (side)^3 \ unit^3\)

Given the height of cube is \(h\) unit.

Volume of cube is \(h^3 \ unit^3\)

Let the height of squared pyramid is \(x\) unit

Volume of squared pyramid is \(\frac{1}{3} h^{2} \times x \ unit^3\)

According to the question, we have

Volume of cube = \(6 \times\) volume of squared pyramid

\(\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h\)

Therefore, the height of squared pyramid is \(\frac{1}{3}h\) unit.

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There is 0.272727 probability that if a number is selected  at random from the interval [0, 10] which satisfies the inequality  |x-1|<2.

We will count number of values of x that satisfies that given inequality. after solving the inequality by removing absolute value sign and then, solving the inequalities again, let there are k integer that satifies the equation and total value is 11 so probalility is k/11

Total number of available option to select = 11 from 0 to 10

in order to find count of number that satisfies the given inequality we   have to solve the inequality first and then find the probabilty

so if  |x-1|<2  

then  after removing absolute value sign        

-2 < x-1 <2  =>  -1 < x < 3

so x must be either {0 , 1 , 2} so that it satisfies the given inequality .

so probabilty = 3 /11 = 0.272727

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Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

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The distance from the corner of Oak and Ridgewood to the corner of Oak and Savannah is given as follows:

276 yd.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

Then the ratio for this problem is given as follows:

sin(38º)/d = sin(42º)/300

The distance is obtained as follows:

d = 300 x sine of 38 degrees/sine of 42 degrees

d = 276 yd.

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Answer:

C. 6 rooms

Step-by-step explanation:

I think you means he uses 3/4 gallon for 1 room.

This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.

(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6

Answer: 6 rooms

Answer: im kinda losing brain cells rn

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

A. y=2/3x-6

B. y=-3/2x+13

Step-by-step explanation:

If the line is parallel, then they have the same slope.

-2=2/3(6)+b

-2=4+b

-6=b

y=2/3x-6

If the line is perpendicular, then the slopes are opposite reciprocals.

1=-3/2(8)-b

1=-12=b

13=b

y=-3/2x+13

Step-by-step explanation:

A)

Paralle mean the same slope so 2/3 is the slope

Y+2=2/3(x-6)

Y+2=2/3x-4

Y=2/3x-6

B)

Perpendicular means that we flip the slope and change sign if it +or - so the slope will be -3/2

Y-1=-3/2(x-8)

Y-1=-3/2x+12

Y=-3/2x+13