Answer:
-15
Explanation:
Given the function;
f(x) = -x - 5
We are to find f(10)
Substitute x = 10 into the fucntion:
f(10) = -10 - 5
f(10) = -15
Hence the value of f(10) is -15
Please help asap i need this for geometry
Answer:
The image point is (5-(8), (-3) + 4) = (-3, 1).
The image point is (2(2), 3(6)) = (4, 18).
Step-by-step explanation:
Image point: To find the image point of the preimage (8, -3) under the transformation (x, y) (5-x, y + 4), we need to substitute the preimage values into the transformation formula:
(x, y) (5-x, y + 4)
(8, -3) (5-(8), (-3) + 4)
The image point is (5-(8), (-3) + 4) = (-3, 1).
Image point: To find the image point of the preimage (2, 6) under the transformation (x, y) (2x, 3y), we need to substitute the preimage values into the transformation formula:
(x, y) (2x, 3y)
(2, 6) (2(2), 3(6)).
The image point is (2(2), 3(6)) = (4, 18).
66 2/3% of what number is 36?
Answer:
54
Step-by-step explanation:
66 2/3 % is 2/3 of 100, so (36/2)*3=54
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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(7+c) + 4 simplify the expression explain each step
Answer:
11 + c
Explanation:
In the parenthesis, 7 + c cannot be simplified, so there is no need for them. Now we have 7 + c + 4. Only 7 and 4 can be added. 7 + 4 = 11. The answer is 11 + c.
Answer:
c+11
Step-by-step explanation:
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
What’s the measure of x for the for each figure?
Answer:
a)73
b)27
c)58
d)70
-4 less than a number is 17.
The algebraic expression for the situation -4 less than a number is 17 are n -4 = 17
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
We are given that -4 less than a number is 17.
Let the number be n.
So, -4 less than a number means;
n - 4
Also, n - 4 = 17
Solving the equation we get;
n = 21
Therefore, The algebraic expression for the situation -4 less than a number is 17 are n -4 = 17
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Find the perpendicular line.
A. y'= -3x + 1
B. y = (1/3)x + 1
C. y = 3x - 1
D. y = -(1/3)x - 1
Answer: The answer is B. (1/3)x+1.
Step-by-step explanation:
Answer:
Step-by-step explanation:
AB ⊥ CD
\(m_{CD}\) = - \(\frac{1}{m_{AB} }\)
~~~~~~~~~~~~~~~
Slope of given line is m = \(\frac{1}{3}\)
Slope of a perpendicular line is ( - 3 )
y = - 3x + 1
Francisco invested $5,000 into an account that earns 3% compounded
quarterly. How many times will Francisco earn interest after keeping the money in
the account for 5 years?
What will be the value of his account in 5 years if he does not make any
additional deposits or withdrawals?
Answer: To calculate how many times Francisco will earn interest after keeping the money in the account for 5 years, we need to determine the number of quarters in 5 years.
Since there are 4 quarters in a year, the total number of quarters in 5 years is:
4 quarters/year x 5 years = 20 quarters
Therefore, Francisco will earn interest 20 times over the 5-year period.
To calculate the value of his account in 5 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time the money is invested (in years)
In this case, P = $5,000, r = 0.03, n = 4 (since the interest is compounded quarterly), and t = 5. Substituting these values into the formula, we get:
A = $5,000(1 + 0.03/4)^(4x5)
A = $5,000(1.0075)^20
A = $5,866.02
Therefore, the value of Francisco's account in 5 years, if he does not make any additional deposits or withdrawals, will be $5,866.02.
Step-by-step explanation:
What is the area of a circle with a radius of 5 units?
A. 11.89 units squared
B. 59.44 units squared
C. 62.5 units squared
D. 78.5 units squared
Answer: A≈78.54
Step-by-step explanation: A=πr2=π·52≈78.53982
A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
We can use the points given to solve for the slope.
Slope formula: y2-y1/x2-x1
7-3/4-1
4/3
Find the y-intercept.
y = mx + b
3 = 4/3(1) + b
3 = 4/3 + b
5/3 = b
The slope of a perpendicular line is the opposite and reciprocal.
4/3 -> -3/4
Write the new equation.
y = -3/4x + 5/3
Best of Luck!
The only way to enter Marvin’s Magic Museum is by telling Marvin a number he likes. Marvin likes the number 14, but does not like 15. He likes the number 21, but not the number 26. He likes the number 35, but not the number 39. Which of the following numbers will get you into the museum?
Telling Marvin the number 18 should get us into the museum.
What is division ?Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.
According to given information:To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.
Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.
Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.
Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.
Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.
Therefore, telling Marvin the number 18 should get us into the museum.
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The Hudson River Science Barge, docked near New York
City, provides a demonstration of how renewable energy
can be used to produce food for large cities. Vegetables
of the water needed
grown on the barge require
by field crops. Use these clues to find the fraction and
decimal for the missing amount.
• The number is less than one and has two decimal places.
• The digit in the hundredths place has a value of 5/100.
The digit in the tenths place has a value of 2/10.
The missing amount is 0.25. This is because 5/100 = 0.05 and 2/10 = 0.2. When the two fractions are added together, the sum is 0.25.
What is fraction?A fraction is a numerical expression that represents a part of a whole. It is written as two numbers separated by a line, a numerator and a denominator. The numerator is the number of parts, and the denominator is the total number of parts in the whole. For example, 1/2 represents one part out of two equal parts. Fractions are used to express amounts that are less than a whole, such as 1/4 which is one quarter of a whole.
The purpose of the Hudson River Science Barge is to demonstrate the potential of renewable energy for large cities. It uses solar energy to power its operations and pumps to bring in fresh water from the Hudson River. The barge is used to grow vegetables, which require less water than field crops, allowing for the efficient use of resources. This demonstration of renewable energy and its potential uses is a valuable lesson for city dwellers, showing them how it can be used in everyday life.
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HELP WITH 16 What is the value of X
Answer:
C - 136
(115+157)/2
Step-by-step explanation:
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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Please helppp!! I suck at math
Answer:
5/6−1/9=13/18
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(5/6×3/3)−(1/9×2/2)=?
Complete the multiplication and the equation becomes
15/18−2/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
15−2/18=13/18
This fraction cannot be reduced.
Therefore:
5/6−1/9=13/18
A Delta 727 traveled 2520 miles with the wind in 4 5 hours
and 2160 miles against the wind in the same amount of time
.
Find the speed of the plane in still air and the speed of the
wind
Answer:
40m ph
Step-by-step explanation:
i think i em right but not sure hope it right
Which equation shows function g in factored form?
g(x) = 2x^2 – 6x – 56
O A. g(x) = 2(x-4)(x + 7)
OB.g(x) = 2(x2-3x-28)
OC. g(x) = (2x + 7)(x-8)
OD. g(x) = 2(x + 4)(x - 7)
Answer:
\(\boxed{\sf Option \ D}\)
Step-by-step explanation:
\(\sf g(x) = 2x^2-6x-56\\\)
Factorizing using mid term break formula
\(\sf g(x) = 2x^2-14x+8x-56\\g(x) = 2x(x-7)+8(x-7)\\g(x) = (2x+8)(x-7)\\g(x) = 2(x+4)(x-7)\)
Pankaj is a Biomedical Engineering student. He plans to deposit $600 that he earned as stipend, in
a bank account at 3% rate of interest compounded weekly for no more than 2 years. The total
amount of the money, A, that Pankaj will get back, is a function of time, t. Which is a reasonable
domain of the money that he may accumulate?
The correct answer is A: 600 <= money <= 2822.4.
This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.
someone please help me asnwer this!!
Answer:
5 units is the answer.
Step-by-step explanation:
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\\)
∴ d = 5 units
John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earnings and expenses, how much money did he owe or have left?
Answer:
$17
Step-by-step explanation:
So first
The total money John have is $20
then he earned $5 which means $20+$5 = $25
After that he spent $10 = $25- $10 = $15
Again earned $5 = $15+$5=$20
At last spent $3 = $20-$3=$17
Hence the total money he owe or have left is $17
This is a math riddle for pi day I can’t understand. There was one with the pi symbol in a pumpkin so it was obviously pumpkin pie, so what would this one be? Any ideas?
Answer:
This is the math riddle for pi..
Step-by-step explanation:
They mean by this question, What do you get if you divide the circumference of a pumpkin pie by its diameter?
Pi is the ratio of circumference and the diameter. and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.
We don’t really need the diagram at this stage of course.
The internal angle is 180o−360o / 24=180o−15o =1 65o . Half of this is 82.5o . The perimeter is now 24x so we have:
24 x /h = 24 / tan(82.5o) Rather remarkably:
So tan(82.5o) =√+2 + √+3+√+4+√+6
24 x / h = 24 / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421
Taking a few more steps:...very long detail explanation.
Find the sale price or selling price.
Original price: $15
Discount: 5%
Sale price: ?
0.75
I don't know how to explain but that's 5% of 15 (sorry if this doesn't help D:)
help pls due today pls
Answer:
6.5y + 10
Step-by-step explanation:
Combine like terms:
0.5y + 6.5y - 0.5y + 10.5 - 0.5
= 6.5y + 10
Answer:
Step-by-step explanation:
0.5y+10.5+6.5y-0.5-0.5y=
6.5y+10
What is 11/100 in simplest form
Answer:
11/100 is the simplified fraction for 11/100. it stays the same
Step-by-step explanation:
Answer:
Exact Form(Simplest form): 11/100
Decimal Form: 0.11
Percentage Form: 11%
Step-by-step explanation:
Its already in Simple Form
Elijah has
2/1 2
bags of candy. A bag of candy weighs
5 pounds. How many pounds of candy does Elijah have?
Answer:33/7
Step-by-step explanation:
Two turtles, Velma and Justine, were entered into a race.
The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.
Based on the equation and graph, which two statements below are true?
A.Justine is twice as fast as Velma.
B. Justine is half as fast as Velma.
C. Justine and Velma have the same speed.
D. Justine moves a greater distance than Velma each minute.
E. Justine moves a shorter distance than Velma each minute.
Answer:
B and E
Step-by-step explanation:
the graph (Justine) shows the line
y = 2x
the line for Velma is
y = 4x
now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).
a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).
as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.
so, as per her slope, Velma moves 4 meters in 1 minute.
and Justine moves 2 meters in 1 meter.
so, Justine is half as fast as Velma.
and therefore, Justine moves a shorter distance than Velma each minute.
Answer:
Step-by-step explanation:
B and E
You and your friend play a trivia game. You answer 64% of the questions correctly and your friend answers 0.74 of the questions correctly. What is the minimum number of questions in the game?
Answer:
higher then 64
Step-by-step explanation:
Since, \(64\% = \frac{64}{100} \ \ Or \ \ =\frac{32}{50}\\\\\) and \(74\% = \frac{74}{100} \ \ Or \ \ = \frac{37}{50}\\\\\)
After simplifying both fractions, the denominators of both fractions are 50.As a consequence, the show's minimum lot of questions will be 50.Learn more about the minimum number:
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