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Related Questions
Find the average rate of change of f(x)xx over the following intervals.
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We are given the following function:
\(f(x)=x^3-2x+6\)And we are asked to determine the average rate of change between points -8 and -4. To do this we will use the following formula for the average rate of change "R" of a function f(x) between points "a" and "b":
\(R=\frac{f(b)-f(a)}{b-a}\)Replacing the points a = -8 and b = -4 in the formula we get:
\(R=\frac{f(-4)-f(-8)}{-4-(-8)}\)Now we need to determine the value of the function at x = -4. To do this we will replace the value of -4 in the given function:
\(f(-4)=(-4)^3-2(-4)+6\)Solving the operations:
\(f(-4)=-50\)Now we replace the value of x = -8 in the function:
\(f(-8)=(-8)^3-2(-8)+6\)Solving the operations:
\(f(-8)=-490\)Now we replace the values of the function in the formula for the average rate of change:
\(R=\frac{-50-(-490)}{-4-(-8)}\)Solving the operations:
\(R=\frac{440}{4}\)Solving the fraction:
\(R=110\)Therefore, the average rate of change is 110.
The same procedure can be used to solve for parts b and c.
PLEASEE HELP ILL MARK BRAINLIEST !!!!
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F(x) {x+5}. f(-4}. Why is the answer 9
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Answer:
fudjdhajs gf djdjsiwjsj
PLEASE HELP ME!!! Which expression is equivelent to 4(9+7) A. 36 + 7 B. 13 + 11 C. 36 + 28 D. 13 + 7
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Answer:C
Step-by-step explanation:
9+7=16
16 times 4 = 64
36+28=64
Line 1: y=-x-3
Line 2: y= -1/2x-2
Is there a solution to this? I feel like there is, but I'm not good at math, so can someone confirm?
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(-2, -1)
Step by step
Substitute the line 2 y value in place of y in line 1.
-1/2x -2 = -x -3
We want to isolate x
First we will add 1x to both sides
1x -1/2x -2 = 1x -x -3 (1x and x mean the same)
1/2x -2 = -3
Now we will add 2 to both sides, still trying to isolate x
1/2x -2 +2 = -3 +2
1/2x = -1
Now we divide both sides by 1/2 to solve for x. Remember when you divide a fraction you flip it and multiply.
1/2 * 2/1 x = -1 * 2/1
x = -2
Now we can solve for y by substituting our x value into line 1.
y .= -(-2) -3
y = -1
Now we check our work by substituting our x and y values into line 1
-1 = -(-2) -3
-1 = -1
Problem solved!
Enter the number that belongs in the green box
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The angles of the triangle with sides 11, 12 and 20 are approximately 117.6 degrees.
We are given that;
The angles of triangle sides are 11, 12 and 20.
Now,
To find the angles of a triangle when its sides are given, we can use the law of cosines. The law of cosines states that c^2 = a^2 + b^2 - 2ab cos©, where a, b, and c are the sides of the triangle and C is the angle opposite to side c.
Using this formula, we can find the angle opposite to side 20 as follows: \(cos© = (a^2 + b^2 - c^2) / 2ab cos© = (11^2 + 12^2 - 20^2) / (2 * 11 * 12) cos© = -0.45 C = arccos(-0.45) C\) = 117.6 degrees
Similarly, we can find the other two angles:\(cos(A) = (b^2 + c^2 - a^2) / 2bc cos(A) = (12^2 + 20^2 - 11^2) / (2 * 12 * 20) cos(A) = 0.25 A = arccos(0.25) A\) = 75.5 degrees
\(cos(B) = (a^2 + c^2 - b^2) / 2ac cos(B) = (11^2 + 20^2 - 12^2) / (2 * 11 * 20) cos(B) = -0.55 B = arccos(-0.55) B\)= 87 degrees
The triangle with sides 11, 12 and 20 are approximately 117.6 degrees, 75.5 degrees, and 87 degrees
Therefore, by the angle the answer will be 117.6 degrees.
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If f(x) = 3x — 2 and g(x) = х + 5, thеn f(g(x)) =
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Answer:
D) 3x+13
Step-by-step explanation:
f(x+5)
-2+3(x+5)
-2+3x+15
3x+15-2
3x+13
simplify 14+(-8)+6+4+(-11)
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Answer:
5
Step-by-step explanation:
PEMDAS
14-8+6+4-11
14-8=6
6+6=12
12+4=16
16-11=5
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
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Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.
Name the
solid figure
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Answer:
That is a rectangular prism
Step-by-step explanation:
Because I'm smart
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
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The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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help algebra 1 !! help me with this question
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mark me brainliest
Please Answer I Would Really Appreciate It :)
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During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
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The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
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The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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Select the correct answer from each drop-down menu. Consider right triangle ABC. A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
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We know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.
What are trigonometric ratios?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
We can use the following trigonometric ratios:
sin(A) = opposite/hypotenuse
cos(A) = adjacent/hypotenuse
In this case, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse:
opposite = BC = 9 units
adjacent = AB = 40 units
hypotenuse = AC = 41 units
Using these values, we can calculate the sine and cosine of angle A:
sin(A) = opposite/hypotenuse = 9/41
cos(A) = adjacent/hypotenuse = 40/41
Therefore, we know the lengths of the sides opposite and adjacent to angle A, as well as the length of the hypotenuse, then sin(A) = 9/41 and cos(A) = 40/41.
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A hubcap has a radius of 11 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 for π.
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Answer:
379.94 cm 2
Step-by-step explanation:
If A(0, 4), B(5, y), and AB = 13. What is y?
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The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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Given a quadratic function in vertex form:
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a) A vertical stretch happens for values of a such that |a| > 1.
b) A vertical compression happens for values of a such that |a| > 0.
c) For a vertical stretch, the graph increases vertically, and for a vertical compression, the graph increases horizontally.
d) A reflection across the x-axis takes place when a < 0.
How to obtain the transformations?The definition of the quadratic function is given as follows:
f(x) = a(x - h)² + k.
The transformations to the function are given as follows:
Vertical stretch: multiplication of the function by a value with absolute value greater than 1, hence |a| > 1, increasing the graph vertically.Vertical compression: multiplication of the function by a value with absolute value less than 1, hence |a| < 1, increasing the graph horizontally.Additionally, for a reflection over the x-axis, the function is multiplied by a negative number, hence:
a < 0.
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In a basket of apples, 12% of them
are rotten and 66 are in good
condition. Find the total number of
apples in the basket.
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Answer:
The total number of apples is 550
Step-by-step explanation:
12% - Turn into a fraction of 12/100
12/100
X = total number of apples
*Make another fraction of x the denominator and the 66 that are in good condition as the numerator*
12/100 = 66/X
Cross multiply
12 * X = 12x
66 * 100 = 6600
Divide
6600/12 = 12x/12 - cancel
6600/12= 550
X = 550
PLEASE HELP
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from
a height of 131 feet, and ball 2 is dropped from a height of 272 feet. Use the
function f(t) = -16t2 + h to determine the current height, f(t), of a ball dropped from a
height h, over given time t.
When does ball 2 reach the ground? Round to the nearest hundredth.
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9514 1404 393
Answer:
4.12 seconds
Step-by-step explanation:
Use the given initial height for Ball 2 to fill in that value in the function.
f(t) = -16t² +272
You want to find t when f(t) = 0.
0 = -16t² +272
0 = -t² +17 . . . . . . . divide by 16
t² = 17 . . . . . . . . . add t²
t = √17 ≈ 4.123 . . . . take the positive square root
Ball 2 reaches the ground after 4.12 seconds.
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
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This statement is true. Political risk is the risk of loss in an investment due to political instability or changes in government policy. Companies can adjust for the potential impact of political risk by adding a political risk premium to their required rate of return. This premium compensates investors for the additional risk associated with the investment due to political factors. The size of the premium will depend on the specific country, the nature of the investment, and the perceived level of political risk. Companies can also take steps to reduce political risk, such as diversifying their operations, investing in political risk insurance, or structuring operations to minimize the value of a subsidiary that might be subject to expropriation.
please help guys, this is due today.
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Answer:
-0.58 is the answer
Step-by-step explanation:
Simplify −3(x+4)+5x Write your answer in factored form
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Answer:-3x - 12 + 5x
Step-by-step explanation:
A new baby grew 3/4 of an inch in June and 7/16? 4- in July. How many total inches did the baby grow during these two months?
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Answer:
The baby grew 1 3/16 inches
Step-by-step explanation:
A new baby grew:
3/4 of an inch in June,7/16 of an inch in July.Total inches during two months:
3/4 + 7/16 = Fractions with different denominators3*4/(4*4) + 7/16 = Multiply the first fraction by 4 12/16 + 7/16 = Add numerators19/16 = Numerator is greater than denominator(16 + 3)/16 = Convert to mixed fraction16/16 + 3/16 = 1 + 3/16 = 1 3/16 AnswerUsing a breakeven analysis, determine how long it would take for the following options in auto insurance deductibles / premiums to break even.
Option 1: $500 deductible comes with a $775 annual premium.
Option 2: $1,000 deductible comes with a $650 annual premium.
How many years without a claim would it take for the two options to break even?
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Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.
Option 1:
Annual Premium = $775
Deductible = $500
Option 2:
Annual Premium = $650
Deductible = $1000
Let x be the number of years without a claim.
For Option 1, the total cost over x years would be:
Total Cost = $775x + $500
For Option 2, the total cost over x years would be:
Total Cost = $650x + $1000
To find when the two options break even, we need to set these two equations equal to each other and solve for x:
775x + 500 = 650x + 1000
125x = 500
x = 4
Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
help please !!!!!!!!!
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Answer: I just got home from work and I got a new phone call from my friends and I was just trying to get to work and It is not working so I’m just going to take it get back to her later today or tomorrow morning when I get home from work and I will be home in a few minutes if you need me to come in and get it done before I leave work and I will be home by the time I leave work so I’ll leave work and work for me and I’ll be there at the end of the week so I’ll leave work on my phone call or you want me to leave you know you need me to stop I need you and your dad and I’ll meet y’all in there and then you could go with my friend or family or something else if y’all are still there so you could leave it for us to do that to get out and then leave the car .
Step-by-step explanation:
Me and your dad was like this last night and and now I’m cuz of this ➕ this ⬆️⬇️⬆️⬇️⬆️⬇️
Solve for x : sq.root(2x^2 + 1)=2
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Answer:
x=3
Step-by-step explanation:
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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for what value of 0 is cot0 undefined?
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In other words, cotangent is undefined when the angle 0 is equal to:
0° + 180°n, where n is an integer, or
π + πn/2, where n is an integer.
Therefore, there are infinitely many values of 0 for which cotangent is undefined.