Answer:
inverse function f⁻(x) = (4-x)/ 13
Step-by-step explanation:
Every day, George goes to church. The distance between church and his house is 15 feet. On a map, 1 inch is equal to 3 feet. How many inches apart would George’s church and home be on the map?
Answer: Five inches
Step-by-step explanation: If the distance between his home and church is 15 feet and on the map 1 inch = 3 feet then you would need to add three together until you reach 15 feet. 5•3=15
please help asap due monday
\(\frac{x^{2} - 9}{3x^{2} + 8x - 3 } : \frac{x - 3}{x + 2} =\frac{(x^2 - 9)(x + 2)}{(3x^2 +8x - 3)(x - 3)} =\frac{x^3 + 2x^2 - 9x - 18}{3x^3 - 9x^2 + 8x^2 - 24x - 3x + 9} =\frac{ x^3 + 2x^2 - 9x - 18}{3x^3 - x^2 - 27x + 9} = \frac{0}{3 - 3x} = 0\)
Answer:
0
Step-by-step explanation:
when you multiply, and add and subtract it all up, you eventually get 0 over 3-3x. what is 0 divided by 3-3x? 0
Can you please Solve for x and y
Answer:
x = 35, y = 26.5
Step-by-step explanation:
x = 35 ( Alternate angles are congruent )
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2y - 10 + 35 + 102 = 180, that is
2y + 127 = 180 ( subtract 127 from both sides )
2y = 53 ( divide both sides by 2 )
y = 26.5
each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.
The lateral area of the right octagonal prism is 672 square inches
How to determine the lateral areaThe formula for lateral area of a right octagonal prism is expressed as;
Lateral area = 8ah
Where;
a is the side length = 7 Inchesh is the height of the prism = 12 InchesSubstitute the values into the formula
Lateral area = 8 × 7 × 12
Multiply through
Lateral area = 672 square inches
Thus, the lateral area of the right octagonal prism is 672 square inches
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please please please please help me please please
what's the Answer ?
\( \tiny\sf{6 + 6 \div 3}\)
Answer: 8
Step-by-step explanation:
PEMDAS
division first
6 + 2
8
Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
6/3 = 2
6+2 = 8
HAVE A NICE DAY
shopkeeper sells tins of the same dog food in packs of four or packs of six.
Packs of four tins cost £1. Packs of six tins cost £1.20
Which is the best value for money?
You must show your working.
Answer:
Pack of 6
Step-by-step explanation:
Pack of 4 = £1
Packs of 6 = £1.20
Price per unit of each pack:
Pack of 4 ;
Unit price : cost / units
Unit price = £1 / 4 = £0.25
Pack of 6 ;
Unit price : cost / units
Unit price = £1.20 / 6 = £0.20
Pack of 6 is the best value for money as it has a lower unit price
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Which answer choice correctly shows 579 written as a Roman Numeral? A. MLXXIV B. DLXXIX C. DLXXVIIII D. DLXXIV
please help please help
Answer:
C.) =
Step-by-step explanation:
the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal
Answer:
=
Step-by-step explanation:
The absolute value of a number is how far the number is from zero on a number line.
Both 5 and -5 are 5 units from zero on a number line, so
|5| = |-5| since |5| = 5 and |-5| = 5.
solve pls brainliest
Answer:
18 square feet
Step-by-step explanation:
hope this helps :)
Answer:
18 ft might be the answer
Use the following basketball team's scores for one season to answer the following question 44,43,42,40,42,45,39,38,18 What's the mean? whats the median? is the median or mean the best measure of center for the above data? explain? what is the measure of variability that best describes the data above? Find the answer to variability.
Answer:
The mean is 39
The median is 42
Step-by-step explanation:
The median is the best measure of center for the above data because half of the values are less than the median and half of the values are more than the median. It's probably the best measure of center to use in a skewed distribution.
The measure of variability is the range because is the simplest measure of variability to calculate but can be misleading if the dataset contains extreme values.
The variability is 67.25
This is how I did it
9. The amount of water used by a washing
machine varies directly with the weight of the
load being washed. The washing machine uses
28 gallons to wash 7 pounds of clothing. How
many gallons of water will the machine
use to wash 24.5 pounds of laundry?
The machine will use 90 gallons of water to wash 24.5 pounds of laundry.
What is Direct Variation?If two quantities change by the same amount, they are said to follow a direct variation. As a result, when one quantity changes, the other follows suit, increasing when the first increases and decreasing when the first decreases. To put it another way, two quantities are said to be directly proportional to one another if the ratio of the first to the second is a constant term. The coefficient or constant of proportionality is the name given to this constant quantity. Assuming that x and y are two quantities that are directly varying, they are stated as follows:y ∝ x
Consequently, y = kx, where k is the proportionality constant.
Given:
The amount of water used by a washing machine varies directly with the weight of the load being washed.
Let's assume,
The amount of water used by a washing machine is y.
The weight of the load being washed is x.
According to the question,
y = 28 gallons
x = 7 pounds
Putting the values we get,
y = kx
28 = k × 7
k = 4
Now, we have to find y when x = 24.5
y = 4 × 24.5 = 98
Hence the machine will use 90 gallons of water to wash 24.5 pounds of laundry.
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can anyone help me with this? no links
Answer:
10/17
Step-by-step explanation:
Each card has two parts. A top part and bottom part. On the top parts of all the cards, there's a simple pattern of adding 2 to the previous number each time. On the bottoms of the cards, you have to add 3 to a number to get to the next number in line. Therefore, take the 4th card (8 on top 14 on bottom) and add a 2 to the top number and a 3 to the bottom number to get the next card in the pattern.
8 + 2 = 10
--- ---
14 + 3 = 17
So card 5 is
10 / 17
what is the missing side-
Answer:
did u try looking it up lol?
Step-by-step explanation:
for the following graph, determine the coordinates of the vertex and the y-intercept of the parabola
solving special systems.
Answer:
the system has infinitely many solutions
Step-by-step explanation:
Given the expressions
y - 2x = 4 .... 1
2x -y - 4 = 0 .... 2
We are to find the solution to the equation as shown
From equation 1: y = 4+2x
Substitute into 2:
2x - (4+2x) - 4 = 0
2x - 4 - 2x - 4 = 0
0 = 0
This shows that the equation has infinite number of solutions
Let y = k
Get x
Substitute y = k into equation 2
From 2: 2x -y - 4 = 0
2x - k - 4 = 0
2x = k+4
x = (k+4)/2 where k is any integer
Hence the system has infinitely many solutions
Problem #2: The radar beam sent out by an airplane reaches a distance of 120 kilometers and covers an angle of 150°. Calculate the area covered by the beam. 120 km 150
PLEAS HELP I NEED HELP AND ITS ALMOST TIME TO TURN IT IN SO HELP ME PLS
Answer:
I think its 5 \(\frac{1}{3}\)
Step-by-step explanation:
please help! 20 points thanks :)
Answer:
A) 1/7
Step-by-step explanation:
\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4+3}{-5-2}=\dfrac17\)
Find 38.01% of 111. Round to the nearest thousandth
Answer:
42.191
Step-by-step explanation:
Punch it in the calculator and round the decimal from 42.1911 to 42.191
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Please help!!! i need this done by tonight!!
An autonomous car is programmed to travel forty kilometers at an average speed of 40 km/hr. During the first 20 km, an average speed of 40 km/hr is maintained. During the next ten kilometers, however, the car averages only twenty km/hr. To drive the remaining ten kilometers and average 40 km/hr, the autonomous car must drive
Answer:
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)
Step-by-step explanation:
The average speed = (The total distance)/(The total time taken)
The given parameters are;
The required average speed of the autonomous car = 40 km/hr
The average speed of the car during the first 20 km = 40 km/hr
The average speed of the car during the next 10 km = 20 km/hr
Therefore, we have;
The time taken = Distance/Speed
The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour
The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour
Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour
The distance covered = 30 km
Which gives;
To drive the remaining distance of 10 km the car has 0 hour left,
The speed of the remaining 10 km must therefore be 10/0 = Infinite (speed).
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.
is 5m^3 -3m^4-7m a polynomial? State the type and degree of the polynomial.
Answer:
Yes it is a polynomial.
It is a trinomial.
The degree is 4.
Step-by-step explanation:
So polynomial is an expression that has variables, constants, and exponents. And all of these are connected through things like addition and subtraction. In this question, you have x as your variable, 0 as your constant, and 4,3,1 as your exponents.
A term is the part of the polynomial that is separated by + or - sign. So in this question, you have 5m^3, -3m^4, and -7m as your terms. Because you have three terms, therefore this is a trinomial.
The degree of polynomial is represented by the variable with the largest exponent, so in your case, 4 is your largest exponent, therefore the degree of the polynomial is 4.
Paul earns $7 per hour at the bagel
shop and $12 per hour mowing lawns.
Paul needs to earn at least $120 per
week, but he must work less than
30 hours per week. Write and graph
the system of linear inequalities that
describes this situation.
Answer:
he can work 10 hours mowing lawns and will get exactly $120!
Step-by-step explanation:
Help pleaseeeeeeeeeee
Given that,
The cone and the sphere have the same volume.
___________________________________________
Volume of the cone
\( = \frac{1}{3}\pi {r}^{2} h\)
\( = \frac{1}{3} \times \frac{22}{7} \times 2.4 \times 2.4 \times 8.3\)
\( = 1 \times \frac{22}{7} \times 0.8 \times 2.4 \times 8.3\)
\( = \frac{22}{7} \times 1.92 \times 8.3\)
\( = \frac{22}{7} \times 15.93\)
\( = 22 \times 2.27\)
\( = 49.94\)
\( = 50 {cm}^{3} (rounded)\)
Also,
Volume of the sphere
= 50cm³
\( = \frac{4}{3} \pi {r}^{2} = 50\)
\( \pi {r}^{2} = 50 \times \frac{3}{4} \)
\(\pi {r}^{2} = 37.5\)
Select the expression that results in a rational number.
The correct answer is A.\(\((5 \frac{1}{\overline{9}}) \times (-0.\overline{3})\)\), as it involves the multiplication of two rational numbers, resulting in a rational number.
The expression that results in a rational number is A. \(\((5 \frac{1}{\overline{9}}) \times (-0.\overline{3})\)\). To determine if an expression yields a rational number, we need to check if it involves the multiplication of two rational numbers. In option A, \(\(5 \frac{1}{\overline{9}}\)\) represents a mixed fraction, which can be expressed as the sum of a whole number and a fraction, both of which are rational. Similarly, \(\(-0.\overline{3}\)\) is a repeating decimal, which can be expressed as a fraction, also a rational number.Therefore, the product of these two rational numbers in option A will yield a rational number.
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How many distinct 2-colored necklaces of length 4 are there? Two colorings are considered identical if they can be obtained from each other by rotation. All black and all white are allowed.
Is there a better algebraic way to do this without finding all cases?
There are 2.25 distinct 2-colored necklaces of length 4, up to rotation. Since we cannot have a fractional number of necklaces, we round up to get a final answer of 3.
A necklace is made by stringing together beads in a circular shape. A 2-colored necklace is a necklace where each bead is painted either black or white. How many distinct 2-colored necklaces of length 4 are there? Two colorings are considered identical if they can be obtained from each other by rotation.Let's draw a table to keep track of our count:Each row in the table represents one way to color the necklace, and each column represents a distinct necklace.
For example, the first row represents a necklace where all the beads are black, and each column represents a distinct rotation of that necklace.We start by counting the necklaces where all the beads are the same color. There are 2 of these. We then count the necklaces where there are 2 beads of each color. There are 3 of these.Next, we count the necklaces where there are 3 beads of one color and 1 bead of the other color. There are 2 of these, as we can start with a black or white bead and then rotate.
Finally, we count the necklaces where there are 2 beads of one color and 2 beads of the other color. There are 2 of these, as we can start with a black or white bead and then rotate. Thus, there are a total of 2 + 3 + 2 + 2 = 9 distinct 2-colored necklaces of length 4, up to rotation. Answer: 9There is a better algebraic way to do this without finding all cases: Using Burnside's lemma. Burnside's lemma states that the number of distinct necklaces (up to rotation) is equal to the average number of necklaces fixed by a rotation of the necklace group. The necklace group is the group of all rotations of the necklace.
The average number of necklaces fixed by a rotation is the sum of the number of necklaces fixed by each rotation, divided by the number of rotations.For a necklace of length 4, there are 4 rotations: no rotation (identity), 1/4 turn, 1/2 turn, and 3/4 turn. Let's count the number of necklaces fixed by each rotation:Identity: All necklaces are fixed by the identity rotation. There are 2^4 = 16 necklaces in total.1/4 turn: A necklace is fixed by a 1/4 turn rotation if and only if all beads are the same color or if they alternate black-white-black-white.
There are 2 necklaces of the first type and 2 necklaces of the second type.1/2 turn: A necklace is fixed by a 1/2 turn rotation if and only if it is made up of two pairs of opposite colored beads. There are 3 such necklaces.3/4 turn: A necklace is fixed by a 3/4 turn rotation if and only if it alternates white-black-white-black or black-white-black-white. There are 2 necklaces of this type.The total number of necklaces fixed by all rotations is 2 + 2 + 3 + 2 = 9, which is the same as our previous count. Dividing by the number of rotations (4), we get 9/4 = 2.25.
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Please help! I will mark as brainliest. <3
Answer:
integers(Z) is the answers for the question
Step-by-step explanation:
please give me brainlest