What percent of values is between the first and third quartiles?
its question 4
Answer:
answer
Step-by-step explanation:
5%
.......................
Given f(x) = 5x+1 and (f+g)(x) = 8−1/5x
find the function g.
Therefore, the function g is g(x) = -5.2x + 7.
What is equation?An equation is a mathematical statement that asserts that two expressions are equal. It typically contains variables, constants, and mathematical operators, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used to solve problems and find the values of the variables that make the equation true. For example, the equation 2x + 3 = 7 is true when x equals 2, because 2(2) + 3 = 7. Equations can be represented using mathematical notation.
by the question.
To find the function g, we can use the property of function addition:
(f + g) (x) = f(x) + g(x)
So, substituting the given values:
(f + g) (x) = 8 - (1/5) x
f(x) = 5x + 1
Then, we can substitute these values into the equation above:
(5x + 1 + g(x)) = 8 - (1/5)x
Simplifying the equation by subtracting 5x + 1 from both sides:
g(x) = 8 - (1/5) x - (5x + 1)
g(x) = 8 - (1/5) x - 5x - 1
g(x) = -5.2x + 7
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Lena wants to rent a boat and spend at most $52. The boat cost $7 per hour, and Lena has a discount coupon for $4 off. What are the possible numbers of hours Lena could rent the boat?
Answer:
8 hours
Step-by-step explanation:
7x8=56-4=52 :)
I need this soon pls
Which graph represents the function y=-(x-2)²+3?
Answer:
Graph D
Step-by-step explanation:
the bottom right graph represents the function y=-(x-2)²+3. I put it in a graphing calculator soo
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
$1,156.90
$1,209.35
$1,293.40
$1,315.50
c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.
If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.
Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:
Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)
Increase = $1,115.00 * (0.08 * 2)
Increase = $1,115.00 * 0.16
Increase = $178.40
To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:
New Benefit = Original Benefit + Increase
New Benefit = $1,115.00 + $178.40
New Benefit = $1,293.40
Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.
The question was incomplete. find the full content below:
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
a. $1,156.90
b. $1,209.35
c. $1,293.40
d. $1,315.50
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3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
which two ratios form a proportion
A 1:2 and 4:2
b 1:2 6:3
c2:1 2:4
d 2:1 and 6 :3
Answer:c
Step-by-step explanation:
Did the test
Answer:
D. 2:1 & 6:3
Step-by-step explanation:
Proportion means equal so we need to see which ratios are equal.
To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.
A:
1:2 & 4:2
The second number is already the same but the first isn't, therefore it is not proportional.
B:
1:2 & 6:3
To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well
6:12 & 6:3
The first numbers are the same but the second isn't, therefore it is not proportional.
C:
2:1 & 2:4
The first numbers are the same but the second isn't, therefore it is not proportional
D:
2:1 & 6:3
to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too
6:3 & 6:3
These are equal so this is proportional.
HELP!!!!!! WHAT DID I do wrong????
Answer:
Y = 1/4x + 0 or Y = 1/4x
Step-by-step explanation:
Teacher circles the 4 because the point was (1,4)
Slope is rise over run
You risen 1 unit on the y-axis, then you went over 4 units on the axis, making the slope 1/4x
the label on marc’s yogurt said that one serving provided 10 grams of fiber, which is 50% of the recommended daily amount. what is the total recommended daily amount of fiber?
Answer:
20 grams
Step-by-step explanation:
10 grams is 50%. 50% x 2= 100%. so you do 50/100=10/20, and you will get 2. Apply that to the 10, 10 x 2=20.
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
Need help answering question 5
Answer:
Step-by-step explanation:
what ticket price would maximize revenue?
As per the concept of system of linear equations, the maximum revenue of this basket ball match is $3.4
Linear equation:
Linear equation refers the one variable is an equation in which there is only one variable present. And it is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.
Given,
A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the average attendance has been 28000. When the price dropped to $7, the average attendance rose to 33000. Assume that attendance is linearly related to ticket price.
Here we need to find the ticket price would maximize revenue.
In order to find the ticket price for the maximum revenue,
We have to identify the details from the given question,
Total seating capacity = 66,000
When ticket price $10 then the attendance 28,000
When ticket price $7 then the attendance 33,000
Let us consider the x be the maximum revenue ticket price.
Now, to solve this we have to find the slope for the equation,
That is,
=> m = (33000 - 28000)/(7 - 10)
=> m = 5000/-3
=> m = -5000/3
=> m = 1666.6
Then the revenue equation is written as,
=> y = (10 - x) * (28,000 + 1666.6x)
=> y = 280000-11334x-1666.6x²
If we plot the this function into the graph, then we get the graph like the following.
Therefore, the solution of the graph is 3.4.
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could anyone help me solve this? I’ve had several questions like this and I don’t understand how to solve it. I’ll give brainliest:)
Answer:
-2, - 1, - 2 and - 3
Step-by-step explanation:
As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)
Which part of a prism gives a prism its characteristic name?
Answer:
Bases
Step-by-step explanation:
In which quadrant would point (10, 15) be located?
Answer:Quadrant 1
Only in Quadrant 1, the both y and x-axis is positive. So (10, 15) is in quadrant 1.
1.7 Basil Yamey is setting up a new business. Before selling anything, he bought a van for £9,000; a
transportable market stall for £1,800; a computer for £280; and an inventory of goods for £11,200. Fie
did not pay in full for his inventory of goods and still owes £5,000 for them. Fie borrowed £8,000 from
Luca Pacioli. After the eventsjust described, and before trading starts, he has £900 cash in hand and
£6,300 in the bank. Calculate the amount of his capital.
Answer:
the amount of Basil Yamey's capital is £16,480.
Step-by-step explanation:
To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.
The value of his assets is:
Van: £9,000
Market stall: £1,800
Computer: £280
Inventory of goods: £11,200
Cash in hand: £900
Money in the bank: £6,300
Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480
His liabilities are:
Amount still owed for inventory of goods: £5,000
Amount borrowed from Luca Pacioli: £8,000
Total liabilities = £5,000 + £8,000 = £13,000
Therefore, Basil Yamey's capital is:
Capital = Total value of assets - Total liabilities
Capital = £29,480 - £13,000 = £16,480
So the amount of Basil Yamey's capital is £16,480.
Answer:
Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.
The cost of the assets that Basil has purchased is:
£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280
He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:
£21,280 - £5,000 = £16,280
He borrowed £8,000, so the total amount of his capital is:
£16,280 + £8,000 = £24,280
He also has cash on hand and in the bank:
£900 (cash) + £6,300 (bank balance) = £7,200
So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.
Please help me in having a hard time
Answer:
10h^2
Step-by-step explanation:
i dont remember
Answer: 10h^2
Step-by-step explanation:
You’re gonna wanna combine your like terms, so…
([6h^2 + 8h^2] - 4h^2)
(14h^2 - 4h^2 = 10h^2)
So your answer would be: 10h^2
How many 3/4centimeter cubes do you need to create a cube with an edge length of 12 centimeters?
Answer:
16
Step-by-step explanation:
12 ÷ 3/4 = 16
The number of 3/4 centimeter cubes created with an edge length of 12 centimeters are 16.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a cube with an edge length of 12 centimeters.
Number of 3/4 centimeter cubes create = 12 ÷ 3/4
= 12 × 4/3
= 16
Therefore, the number of 3/4 centimeter cubes created with an edge length of 12 centimeters are 16.
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The fraction of people doing any activity is equal to the fraction of time it takes to do that activity. In symbols, N/Ntotal = T/Ttotal. This is an example of the golden rule, that the part is to the whole as the part is to the whole.
Estimate the number of people running right now.
Answer:
Unfortunately, without additional information or data, it is not possible to estimate the number of people running right now using the given equation N/Ntotal = T/Ttotal.
The equation only relates the fraction of people engaged in an activity to the fraction of time spent on that activity. It does not provide any information about the actual number of people or the total population size.
To estimate the number of people running right now, we would need additional data, such as the total population size, the fraction of people who typically engage in running as an activity, and the total time spent running by the people who do engage in the activity.
We can calculate the approximate number of persons running using the formula \(N/N_t_o_t_a_l = T/T_t_o_t_a_l\) and the estimated fraction of people running (T/Ttotal) coupled with data on the total population (Ntotal).
What is Fraction?A fraction is a mathematical unit used to express a portion of an integer or a ratio of two integers. It consists of a horizontal line between the numerator and denominator of two numbers.
We may use the formula provided to get the approximate number of individuals running at any one time if we know the entire population (Ntotal) and the entire amount of time (Ttotal) that people are engaged in activities.
More specifically, we have to know what percentage of total time (T) people spend jogging at this time (Ttotal). To calculate the approximate total number of runners (N), we can use the equation N/Ntotal = T/Ttotal.
We may make use of information gathered through surveys, fitness devices, or even other sources that monitor exercise behaviors to determine the percentage of time individuals devote to running.
We can calculate that roughly 20,833 individuals are currently jogging (1/48 of 1 million people), for instance, if there are 1 million people in total and we assume that 1/48 of them are runners.
Thus, we can calculate the approximate number of persons running using the formula \(N/N_t_o_t_a_l = T/T_t_o_t_a_l\) and the estimated fraction of people running (T/Ttotal) coupled with data on the total population (Ntotal).
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Help!
A. 1.5
B. 18
C. 24
D. 15
Answer:
the answer is B
Step-by-step explanation:
The name of a U.S. state is spelled out with letter tiles. Then the tiles are placed in a bag, and one is picked at random. What state is spelled out if the probability of picking the letter O is 1/2? , 3/8?, 1/3?. (need 3 answers with explanations)
The state spelled out with letter tiles depends on the probability of picking the letter O, and the possible states are Ohio, Colorado and Oregon respectively.
What state is spelled out based on probability of picking the letter 0?To solve this problem, we need to consider the frequency of the letter O in each state's name.
If the probability of picking the letter O is 1/2, then the state must have two O's in its name. The only state that meets this criteria is OHIO.
If the probability of picking the letter O is 3/8, then the state must have three O's in its name. The only state that meets this criteria is COLORADO.
If the probability of picking the letter O is 1/3, then the state must have at least three O's in its name. The only state that meets this criteria is OREGON.
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1/3 and 2/6 how is each pair equivalent?
Answer:
By multiple by 2
Step-by-step explanation:
1 multiplied by 2 = 2
3 multiplied by 2 = 6
In that case they equivalent due to the number 2.
A school ordered 308 photos of size 3R and some photos size 6R. The total amount spend on photos was Rs 18500. How many photos did the school ordered together.
Answer: 3237 photos
Step-by-step explanation:
Let the number of photos of size 3R that the school ordered be 'x', and the number of photos of size 6R be 'y'.
We know that the school ordered 308 photos of size 3R, so:
x = 308
We also know that the total amount spent on photos was Rs 18500, so:
3x + 6y = 18500
Substituting the value of x from the first equation:
3(308) + 6y = 18500
924 + 6y = 18500
6y = 17576
y = 2929.33 (rounded off to the nearest whole number)
Since the number of photos must be a whole number, we can assume that the school ordered 2929 photos of size 6R.
Therefore, the total number of photos that the school ordered together is:
x + y = 308 + 2929 = 3237
Hence, the school ordered a total of 3237 photos.
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Use the following equation to answer the questions below:
y − 2 = 1 /3 (x + 4)
Find the equation of the line that is passing through (8, 2) and is perpendicular to the given line.
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
During a huge snowstorm in the White Mountains last year, it
snowed 60.5 cm in one day. Use the facts to find how much
this is in meters.
X
3
Conversion facts for length
1000 millimeters (mm) - 1 meter (m)
100 centimeters (cm) - 1 meter (m)
10 decimeters (dm) 1 meter (m)
1 dekameter (dam) -10 meters (m)
1 hectometer (hm) 100 meters (m)
1 kilometer (km)
1000 meters (m)
By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.
Given: Convert 60.5 cm to meters
And the facts are as follows:
1000 milli-meters (mm) - 1 meter (m)
100 centimeters (cm) - 1 meter (m)
10 decimeters (dm) - 1 meter (m)
1 deka-meter (dam) -10 meters (m)
1 hectometer (hm) - 100 meters (m)
1 kilometer (km) - 1000 meters (m)
What is the length?
Length is the measurement of something from one point to another point.
Length can also be the distance between two points.
The shortest length between two times is known as displacement.
There are different ways to measure the length between two points or objects.
The SI unit of length is metered (m)
Also, kilometers or miles are used to measure large distances.
How to convert from centimeters (cm) to meters (m)?
1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.
100 cm = 1 m
So 1 cm = 1 / 100 m
Therefore, x cm will be x / 100 m
Let’s solve the problem.
Given 60.5 cm to show in meters
So 100 cm = 1 m
1 cm = 1 / 100 m
60.5 cm = 60.5 / 100 m
60.5 cm = 0.605 m
Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.
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Twelve friends share 4 cookies equally. What fraction of a cookie does each friend get? Write in simpliest form
Answer:
2/5 of the cookie
Step-by-step explanation:
12 friends need to split 4 cookies
4 cookies needs to divided by 10 people
\(\frac{4cookies}{10 people}\) = \(\frac{4}{10}\)
simplify: \(\frac{4}{10} = \frac{2}{5}\)
A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
Find the unit rate for each brand. Round to the nearest cent (hundredth).
The unit rate of each of the brands are:
Brand A's unit rate = 37 cents per ounce.
Brand B's unit rate = 31 cents per ounce.
How to Find the Unit Rate?The unit rate of each brand is simply how much a brand of tomatoes will cost per ounce.
To find the unit rate of each brand, do the following:
Brand A's unit rate = 2.99/8 = $0.37 per ounce = 37 cents per ounce.
Brand B's unit rate = 4.99/16 = $0.31 per ounce = 31 cents per ounce.
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