solve f (8) for f (x) - 2x+7
Answers
Answer:
f(8) = 23
Step-by-step explanation:
1. substitute the value 8 in where X is present
(2 x8)+7
2. calculate the value of the equation
16+7 = 23
3. This is the value of f(8)
Related Questions
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Answers
| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |
By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.
complete the following statements. in general, % of the values in a data set lie at or below the 70th percentile. % of the values in a data set lie at or above the 20th percentile.. if a sample consists of 600 test scores, of them would be at or below the 86th percentile. if a sample consists of 600 test scores, of them would be at or above the 62th percentile.
Answers
If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.
What is percentile?A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.
Given that,
In general, 70 % of the values in a data set lie at or below the 70th percentile.
20 % of the values in a data set lie at or above the 20th percentile.
Generally percentile defines the percentage of a data set that is below or at a value that is being considered.
Hence the percentage of the values of a data set that lies below or at the 16th percentile is 16%
Also the values of a data set that lies below or at the 24th percentile is 24%
Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of 600 which is mathematically represented as:
K = \(\frac{86}{100}\) × 600
K = 516 test scores
Given a sample of 600 test scores , the number number of test scores that will be above the 62 th percentile is (100 - 62 = 38 )% of 600 which is mathematically represented as:
a = \(\frac{38}{100}\) × 600
a = 228 test scores.
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5. The population, P, of a city has grown according to the mathematical model P = 50 000(1.15), where t
is the number of years since 2005.
Using a graphing tool or by hand answer the questions below.
a) What was the population of the town in 2005?
I
b) In what year will the population exceed 100 000?
Answers
Answer: Therefore, the population will exceed 100,000 in the year 2005 + 10.73 ≈ 2016.
Step-by-step explanation: a) The population of the town in 2005 is given by the formula, where t = 0 since 2005 is the starting year:
P = 50,000(1.15)^0 = 50,000
Therefore, the population of the town in 2005 was 50,000.
b) We need to find the value of t when the population P exceeds 100,000:
100,000 = 50,000(1.15)^t
Divide both sides by 50,000:
2 = 1.15^t
Take the natural logarithm of both sides:
ln 2 = ln (1.15^t)
Apply the power rule of logarithms:
ln 2 = t ln 1.15
Divide both sides by ln 1.15:
t = ln 2 / ln 1.15
Using a calculator, we get:
t ≈ 10.73
Will give brainliest to who ever types the answer no links
Find the total surface area of the
following cylinder:
r = 5 cm
5 cm
SA = [ ? ]n cm2
Leave your answer in terms of t.
Enter the number that goes in the green box.
Answers
Answer:
100Step-by-step explanation:
Given ,
Radius of the cylinder = 5 cm
Height of the cylinder = 5 cm
Therefore,
Total surface area of the cylinder
\( = 2\pi r(r + h)\)
\( = 2\pi \times 5(5 + 5) {cm}^{2} \)
\( = 10\pi \times 10 {cm}^{2} \)
\( = 100\pi {cm}^{2} \)
Hence,
The required value to put in the green box is 100(Ans)
Solve each system of linear equations by adding or subtracting. 3x + 4y = 15 3x - y = 30 Enter the solution as an ordered pair. The solution is
Answers
Answer:
( 9, − 3 )
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x = 9 and y = − 3
In the similar triangles below , what is the measure of D
Answers
In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.
In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.
This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.
To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.
We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.
So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.
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Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Answers
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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The graph of F(x), shown below, resembles the graph of G(x) = x², but it has been stretched and shifted. Which of the following could be the equation of F(x)?
A. F(x) = 2/5 x² +6
B. F(x) = (1/3x)^2 +2
C. F(x) = 3x² -2
D. F(x) = (9x)² +2
Answers
Answer:
D. f(x) = (9x)² +2
Step-by-step explanation:
The function transformations we usually study include horizontal and vertical expansion (or compression), and horizontal and vertical translation. These can be summarized in the equation ...
g(x) = v·f((x -a)/h) +b
where v and h are vertical and horizontal expansion factors, respectively, and (a, b) is the (right, up) translation.
__
analysisThe graph of F(x) has had its vertex moved 2 units upward (b=2), It is distinctly narrower than G(x), which could be the result of vertical expansion (v>1), or horizontal compression (h<1). Since the graph of F(x) has been compressed horizontally, the value of h must be less than 1.
__
answer selectionsThere are two answer choices with b=2.
Choice B has h=3, a widening of the graph. Choice D has h=1/9, a narrowing of the graph.
The equation of the graph could be F(x) = (9x)² +2. The attachment shows this is an appropriate choice.
_____
Additional comment
You will notice that in this function, the vertical expansion factor is the reciprocal of the square of the horizontal expansion factor. In this case, h=1/9 is equivalent to v=81, a vertical expansion by a factor of 81.
F(x) = (x/(1/9))² +2 = 81x² +2
The given graphs are not detailed enough to be able to judge either of these factors directly. We can estimate that h=1/9 is approximately correct by looking at the values of x where the graph has its upper boundary. At those points, x≈3 on the G(x) graph, and x<1/2 on the F(x) graph, consistent with a value of about x=1/3. The "expansion" factor is then (1/3)/3 = 1/9.
A bank features a savings account that has an annual percentage rate of r=3.3% with interest compounded quarterly. Maia deposits $10,000 into the account. What values should be used for p, r, and n? How much money will Maia have in the account in 9 years?
Answers
The used values are;
p = $10,000
r = 3.3%
n = 9 years
And, The amount after 9 years will be $14,593.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.
And, Maia deposits $10,000 into the account.
Now,
Since, The interest rate is for compounded quarterly.
So, The used formula is,
⇒ \(A = P (1 + \frac{r}{4} )^n^t\)
Here, P = $10,000
r = 3.3% = 0.033
n = 4
t = 9
Substitute all the values, we get the amount after 9 years,
⇒ \(A = P (1 + \frac{r}{4} )^n^t\)
⇒ A = $10,000 (1 + 0.033/4)³⁶
⇒ A = $10,000 (1 + 0.008)³⁶
⇒ A= 10,000 × (1.008)³⁶
⇒ A = 10,000 x 1.45
⇒ A = $14,593
Thus, The amount after 9 years will be $14,593.
Therefore, The used values are;
p = $10,000
r = 3.3%
n = 9 years
And, The amount after 9 years will be $14,593.
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Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
Answers
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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Identify a pattern in each list of numbers. Then use this pattern to find the next number.
5, 12, 33, 96, 285, ___
Answers
=====================================================
Explanation:
The given sequence is 5, 12, 33, 96, 285, ...
The jump from 5 to 12 is +7The jump from 12 to 33 is +21The jump from 33 to 96 is +63The jump from 96 to 285 is +189The sequence of increases is: 7, 21, 63, 189
Then notice,
The jump from 7 to 21 is "times 3"The jump from 21 to 63 is also "times 3"The jump from 63 to 189 is also "times 3".Assuming this pattern keeps up, the next increment will be 189*3 = 567
We add this increment to the last term of the original sequence
285+567 = 852
The sequence is now 5, 12, 33, 96, 285, 852, ...
A rectangular pyramid is shown in the figure.
A rectangular pyramid with a base of dimensions 7 centimeters by 5 centimeters. The two large triangular faces have a height of 7.6 centimeters. The two small triangular faces have a height of 8 centimeters.
What is the surface area of the pyramid?
Answers
The surface area of the pyramid is 113 cm².
What is rectangular pyramid?A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.
The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.
To find the surface area of the pyramid, we need to find the area of each face and then add them up.
Area of the base:
The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:
Area of base = length × width = 7 cm × 5 cm = 35 cm²
Area of the four triangular faces:
Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:
Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²
Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²
There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:
Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face
= 2 × 19 cm² + 2 × 20 cm²
= 78 cm²
Total surface area:
Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:
Total surface area = area of base + total area of four triangular faces
= 35 cm² + 78 cm²
= 113 cm²
Therefore, the surface area of the pyramid is 113 cm²
.
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if f(5x)=f(5)+f(x) then prove f(1)=0
Answers
Answer:
2&4+44-24÷333×6385
Step-by-step explanation:
so it can be a cardinal product
If functions f(5x)=f(5)+f(x) then f(1)=0.
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that f(5x)=f(5)+f(x)
f of five times of x equal to f of five plus f of x.
We need to prove f(1) is equal to zero.
f(5x)=f(5)+f(x)
Let plug in x value as one
f(5×1)=f(5)+f(1)
f(5)=f(5)+f(1)
Subtract f(5) from both sides
f(1)=0
Hence, if functions f(5x)=f(5)+f(x) then f(1)=0.
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What is the equivalent to the product below when x>_0?
√5x² •√15x²
Answers
√(5x²) • √(15x²) = √(5x² * 15x²)
Using the property of square roots that √(a * b) = √a * √b, we can simplify further:
√(5x² * 15x²) = √(5 * 15 * x² * x²)
Next, we simplify the numerical part:
√(5 * 15 * x² * x²) = √(75 * x² * x²)
Since x ≥ 0, x² is always non-negative, so we can remove the square root:
√(75 * x² * x²) = x * x * √75
Finally, we simplify the square root of 75:
x * x * √75 = x² * √75
Therefore, the equivalent expression is x² * √75 when x ≥ 0.
USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees. Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.)
P(0) =
P(1) =
P(2) =
P(3) =
P(4) =
What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?
Answers
Answer:
P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004
P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047
P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211
P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422
P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316
Check:
P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok
Step-by-step explanation:
pless i really need help
Answers
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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the sum of two consecutive even integers is 138
Answers
Answer:
68 and 70
Step-by-step explanation:
if the first integer is x, the next would be x + 2
so your equation is x + x+2 = 138
2x + 2 = 138
minus 2 on both sides
2x =136
x = 68
so if x is 68
x + 2 would be 70
if you add those up, im pretty sure you'll get 138
Mark Brainliest! if you get it right!
3,9,15 find the 45th term
Answers
Answer:
d
Step-by-step explanation:
i took the test
Answer: 267
Step-by-step explanation:
20 POINTS PLEASE ANSWER THIS ASAP!!!!!
How many six-character code words can be formed if the first two characters are letters and the others are letters and/or digits? Repetition of numbers and letters is allowed.
a) 6,760,000
b) 723,465,600
c) 1,135,420,416
d) 918,918,000
2.Answer question # 1 if Repetition is NOT allowed.
a) 918,918,000
b)723,465,600
c)1,135,420,416
d)720
Answers
Answer:
A ; 3276000 (second answer)
Step-by-step explanation:
think of it like this:
L L # # # # ( six symbols, L for letters, # for numbers)
26 X 26 X 10 X 10 X 10 X10 = 6760000
If we take away repetition then the equation would look like this:
L L # # # # ( 26 then 25 due to the loss of a letter due to no )
26 X 25 X 10 X 9 X 8 X 7 ( Repetition. Same with 10,9,8,7 )
Therefore the answer to the second question isn't even up there which is 3276000.
Hope this helps...
Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 hours. How much was her total weekly paycheck?
Answers
Answer:
11.50 x 40 regular hours is $460
double time is 11.50 x 2 = $23 an hour
She makes $23 an hour for 8 hours = $184
$460 + $184 = $644 paycheck
Help its a two part question. Big points ans I will give brainliest
Answers
The equation of the axis of symmetry of the parabola is equal to x = 4.
How to derive the equation of the axis of symmetry
In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:
Vertex
(x, y) = (h, k)
Axis of symmetry
x = h
If we know that h = - 4, then the equation of axis of symmetry is x = 4.
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Who can answer this for me please
Answers
Answer:
f(2)=-2
Step-by-step explanation:
Values of a function from a graph
The graph of a function is usually a drawn line that joins a number of points that correspond to the ordered pairs (x,y), where x is a given value, and y is the value calculated through the rule of the function, usually a formula or equation.
If we want to know the value for a specific value of x, we find the corresponding x-coordinate, draw an imaginary vertical line until we meet the graph. The value of y at that point is the required value of the function.
For example, for x=0 the graph crosses the y-axis at y=2, thus the ordered pair is (0,2), and f(0)=2.
For x=2, the function has a value of y=-2, thus:
f(2)=-2
Draw an angle in standard position with the given measure. 8/3 π
Answers
The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
What is the standard position of angles?
Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.
To draw an angle in standard position with measure 8/3 π, follow these steps:
Start with the positive x-axis.
Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.
Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.
The resulting angle will have a measure of 8/3 π and will look like the following:
|
|
--------*-----------
|
|
Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
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Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answers
Answer:
605
Step-by-step explanation:
11x55=605
triangle adc is congruent to triangle adb because triangle maps it onto triangle .
Answers
The statement is proved that the triangle ∆ADB is congruent to the triangle ∆ADC.
Given that,
We have to prove the statement is triangle ADB congruent to Triangle ADC
We know that
From the image
BD = DC = 3cm.
AD ⟂ BC .
So,
in ∆ADB and ∆ADC, we have,
→ AD = AD (common)
→ ∠ADB = ∠ADC (AD ⟂ BC so, 90°)
→ DB = DC (given both 3cm.)
Thus,
→ ∆ADB ~ ∆ADC (By SAS) { According to the SAS rule, two triangles are said to be congruent if any two sides and any angle contained between the sides of one triangle = The matching two sides and the angle between the sides of the second triangle. }
Therefore, The statement is proved that the triangle ∆ADB is congruent to the triangle ∆ADC.
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¿Qué porcentaje de niños prefieren la materia de español? Considera que los 9 alumnos son igual al 100 %?
Answers
Answer:
hold yo ablo espanol
Step-by-step explanation:
Please help if you can
Answers
Answer:
maybe option 1st
Step-by-step explanation:
Hope this will help you dear.
Answer:
3
Step-by-step explanation:
the triangle is a right triangle, meaning that we can use the pythagorean theorem to find a hypotenuse that will satisfy both Rs. if we use 3 as the radius, we get the hypotenuse as 2 + 3 = 5, where one leg is 3 and one is 4.
\( \sqrt{} 3 {}^{2} + 4 { }^{2} = 5 \)
so we know that a radius of 3 is right
PLEASE HELP I don’t know the answer and I need it fast
Answers
the catalog price of an item is $875. the trade-discount is 20%. what is the net price?
Answers
Answer:
you need to use the before change and after method.