The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=7.5x. The installation fee is $100 more than 5% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 150 square feet of carpet.
Answers
Answer: $156.25
Step-by-step explanation:
You need to find the cost of the carpet. Then, to find the service fee, take 5% of the carpet cost. After that, add 100 to that product.
Step 1: Set the value of x to the number of square feet.
x = 150
f(150) = 7.5 * 150.
Step 2: Multiply
7.5 * 150 = 1125
Step 3: Find 5% of 1125.
5% = 0.05
0.05 * 1125 = 56.25
Step 4: Add 100 to the product.
56.25 + 100 = $156.25
Related Questions
Debbie's pie shop recorded how many pies it recently sold in each flavor.
coconut cream pies 24
cherry pies 39
peach pies 4
lemon meringue pies 7
what is the experimental probability that the next pie sold will be a peach pie?
write your answer as a fraction or whole number.
Answers
The probability of the next pie sold a piech pie is \(\frac{2}{37}\).
What is meant by probability ?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Calculating or estimating how likely or "possible" something is to occur is the subject of probability. Words like "certain," "impossible," or "probable" can be used to express the likelihood of an event occurring. Probabilities in mathematics are always represented as fractions, decimals, or percentages with values ranging from 0 to 1.coconut cream pies 24
cherry pies 39
peach pies 4
lemon meringue pies 7
24 + 39 + 4 + 7 = 74
As a fraction,
P(peach pie) = \(\frac{4}{74}\)
hence, the answer is \(\frac{2}{37}\).
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Which compound inequality could this graph be the solution of
Answers
Answer:
2x + 3 ≥ 11 or 4x - 7 ≤ 1
Step-by-step explanation:
2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct answer for this question.
2x + 3 ≥ 11 and 4x - 7 ≤ 1
⇒ 2x ≥ 8 and 4x ≤ 8
⇒ x ≥ 4 and x ≤ 2
Hope this helps.
Write the wod sentence as an equations. you don't need to solve it.
5 less then a number b is 16
I really need help on this plz
Answers
Answer:
b-5=16
Step-by-step explanation:
well, it says 5 is LESS THAN b so we do b minus 5 than it says is 16 and is means equal so we do b minus 5 equals 16. super easy once you get the hang of it.
Fill in the table (round all answers to two decimals), then decide ilyexponential decay.
Answers
Given:
\(y=e^{3\cdot x}\)Required:
To find the table for the given function:
Explanation:
Consider
\(y=e^{3x}\)When x= -2,
\(\begin{gathered} y=e^{3(-2)} \\ \\ y=e^{-6} \\ \\ y=0.002 \end{gathered}\)When x = -1
\(\begin{gathered} y=e^{3(-1)} \\ \\ =e^{-3} \\ \\ =0 \end{gathered}\)When x=0
\(\begin{gathered} y=e^0 \\ \\ =1 \end{gathered}\)When x=1,
\(\)
What is the greatest common factor of the terms of the polynomial:
15x^5 + 60x^4+ 9x^3
Answers
Answer:
im not shure if your asking for an answer but here is this
Solution
Step-by-step explanation:
All of the following devices are used in the second paragraph EXCEPT A. metaphor B. parallelism C. allusion D. abstract terms E. chiasmus
Answers
Answer:
a. Metaphor
Step-by-step explanation:
Find the radian measure of the central angle of a circle of radius r=90 inches that intercepts an arc of length s=130 inches.
Answers
The radian measure of the central angle of a circle of radius r=90 inches that intercepts an arc of length s=130 inches is:
1.4444 radians.
To determine the radian measure of the central angle of a circle of radius r = 90 inches that intercepts an arc of length s = 130 inches, you can use the following formula:
θ = s/r
Where, θ = radian measure of the central angle of the circle of radius r.
s = length of the arc.
r = radius of the circle.
Substituting the given values,
θ = s/r
θ = 130/90
θ = 1.4444 radians (rounded to four decimal places).
Therefore, the radian measure of the central angle is approximately 1.4444 radians.
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Mean squared error (mse) is calculated by subtracting a forecast for one time period from the actual value for the same time period.
a) true
b) false
Answers
b) False. the statement Mean squared error (MSE) is calculated by subtracting a forecast for one time period from the actual value for the same time period" is false.
Mean squared error (MSE) is not calculated by simply subtracting a forecast for one time period from the actual value for the same time period. The correct formula for calculating MSE involves several steps.
MSE is a commonly used measure to assess the accuracy of a forecasting model or predictor. It quantifies the average squared difference between the forecasted values and the actual values. The steps to calculate MSE are as follows:
1. Take the difference between each forecasted value and its corresponding actual value.
2. Square each difference to eliminate negative values and emphasize larger errors.
3. Calculate the average of the squared differences.
4. The result is the mean squared error (MSE).
The formula for MSE is as follows:
MSE = (1/n) * Σ(yᵢ - ŷᵢ)²
Where:
- n is the number of observations.
- yᵢ represents the actual value for the i-th observation.
- ŷᵢ represents the forecasted value for the i-th observation.
- Σ represents the summation symbol, summing up the squared differences for all observations.
Therefore, the statement "Mean squared error (MSE) is calculated by subtracting a forecast for one time period from the actual value for the same time period" is false. The calculation of MSE involves squaring the differences, summing them up, and taking the average, as described in the formula above.
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You are offered an hourly job making $19 per hour. If you are scheduled to work 45
hours per week. What would the weekly gross pay for this job be?
Answers
Answer: 855 is the answer
a quadrilateral has 1 pair of equal sides what 2 shapes can it be
Answers
Answer: Square and rectangle
Step-by-step explanation:
Matilda has 16 3/4 hours to finish three consulting projects.how much time may she spend on each project ,if she plans to spend the same amount of time on each?
Answers
Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
According to the question we have been given that,
Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours
First we will convert it into simple fraction which is
\(16\frac{3}{4} = \frac{67}{4} \\\) hours
Number of consulting projects = 3
And Matilda spends same amount of time to each of the project.
To find the time she spend on each project is by using unitary method
that is, 3 projects = \(\frac{67}{4}\) hours
1 project = \(\frac{67}{4} / 3\)
= 67/12
= \(5\frac{7}{12}\) hours
Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
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PLEASE HELP FAST
Write the result in scientific notation
(1.4*10 by the power of one)(8*10by the power of 4)
A .9.4 * 10 by the power of 4
B. 9.4 * 10 by the power of 5
C. 1.12 * 10 by the power of 5
D. 1.12 10 by the power of 6
16.( 1.1 * 10 by the power of negative 5) ( 3 * 10² negative power)
A. 4.1 10 by the power of negative 7
B. 4.1 * 10 by the power of 10
C. 3.3 * 10 by the negative 7
D. 3.3 * 10 by the power of 10
Answers
The expression (1.4 × 10¹)(8 × 10⁴) in scientific notation is 1.12 × 10⁵ and for expression (1.1 × 10⁻⁵)(3 × 10²) the scientific notation is 3.3 × 10⁻³
The given expressions are (1.4 × 10¹)(8 × 10⁴) can be calculated as:
Firstly we will multiply the decimal numbers and whole numbers
1.4 × 8
One point four times eight is equal to eleven point two
= 11.2
Now we multiply the base with ten
10¹ × 10⁴
We know that when the bases are same then the powers will be added in multiplication
= 10⁵
Combining these results, we have 11.2 × 10⁵
Therefore, the result in scientific notation is 1.12 × 10⁵
Similarly, for (1.1 × 10⁻⁵)(3 × 10²)
We will multiply the decimal numbers and whole numbers
1.1 × 3 = 3.3
Now the base with ten will be multiplied
10⁻⁵ × 10²
The bases are same the powers will be added
= 10⁻³
Combining these results, we have 3.3 × 10⁻³
Therefore, the result in scientific notation is 3.3 × 10⁻³
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What is the value of the expression below? -8+19+8
0
11
19
35
Answers
they cancel out
so the answer is 19
Find the probability that at most 2 heads occured when 5 fair coins are tossed
Answers
Answer:
Five coins are tossed the probability of getting two heads is 5/16.
Step-by-step explanation:
I hope it will be helpful for you.
Pls help me with this question
Answers
Answer:
x = 70 degrees, y = 35 degrees.
Step-by-step explanation:
The angle marked x is a central angle, so its measure is the same as the measure of the intercepted arc.
The angle marked y is an inscribed angle, so its measure is half the measure of the intercepted arc.
Help!!!!! Math work!!!!!!
Answers
6-n=17 what does n equal im confused?
Answers
-So to find the variable all you have to do is move all the numbers to one side ( for instance move 6 to right side by subtracting from the left )
-n = 17- 6
-n = 11
- And now with your new equation ( -n = 11) move the negative sign it to the right side, which would give you
* n = -11
-To test it out just fill in the n with -11
6 - (- 11 ) = 17
Note ( negative X negative = a positive For example: { -2 x -3 = 6 }
- ( -11 ) = + 11
6 + 11 = 17
Making the equation of ( n = -11 ) correct!
Hope this helps you :)
Andrea works twice as many hours as Gwen works. Andrea works 12 more hours a week than Gwen.
Answers
she worked 3 hours a week
4) Prove that if \( A \subset \mathbb{R} \) bounded above, then \[ \sup A \in \bar{A}=A \cup A^{\prime} \text {. } \]
Answers
To prove that if (A) is a subset of (\mathbb{R}) bounded above, then (\sup A) belongs to the closure of (A), which is defined as (\bar{A} = A \cup A'), where (A') denotes the set of limit points of (A), we need to show two things:
(\sup A \in A) or (\sup A) is an element of (A).
(\sup A \in A') or (\sup A) is a limit point of (A).
Let's prove these two statements:
To show that (\sup A) is an element of (A), we consider two cases:
a) If (\sup A \in A), then it is trivially in (A).
b) If (\sup A \notin A), then there must exist some element (x) in (A) such that (x > \sup A). Since (A) is bounded above, (\sup A) serves as an upper bound for (A). However, (x) is greater than this upper bound, which contradicts the assumption. Hence, this case is not possible, and we conclude that (\sup A) must be in (A).
To demonstrate that (\sup A) is a limit point of (A), we need to show that for any neighborhood of (\sup A), there exists a point in (A) (distinct from (\sup A)) that lies within the neighborhood.
Let (U) be a neighborhood of (\sup A). We can consider two cases:
a) If (\sup A) is an isolated point of (A), meaning there exists some (\epsilon > 0) such that (N(\sup A, \epsilon) \cap A = {\sup A}), where (N(\sup A, \epsilon)) is the (\epsilon)-neighborhood of (\sup A), then there are no points in (A) other than (\sup A) within the neighborhood. In this case, (\sup A) is not a limit point.
b) If (\sup A) is not an isolated point of (A), it is a limit point. For any (\epsilon > 0), the (\epsilon)-neighborhood (N(\sup A, \epsilon)) contains infinitely many elements of (A). This is because any interval around (\sup A) will contain points from (A) since (\sup A) is the least upper bound of (A). Hence, we can always find a point distinct from (\sup A) within the neighborhood, satisfying the definition of a limit point.
Since we have shown that (\sup A) belongs to both (A) and (A'), we can conclude that (\sup A) is an element of the closure of (A) ((\sup A \in \bar{A} = A \cup A')).
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mp of a book is rs. 250 if the shopkeeper allows 14% discount to his customers and gains 25% . find the cp.
Answers
The cost price that was used to get the book is: R.S 172
How to find the cost price?The parameters given are:
Marked Price: M.P = RS. 250
Discount allowed = 10%
The formula to find the selling price here will be:
S.P = M.P * (100 - Discount)/100
Thus:
S.P = 250 * (100 - 14)/100
S.P = 250 * 0.86
S.P = R.S 215
Since the profit is 25%, then we have:
Cost Price = (S.P * 100)/(100 + Gain%)
Cost price = (215 * 100)/(100 + 25)
Cost Price = 21500/125
Cost price = R.S 172
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What are the zeros of the function f(x) = x2 + 7x – 18? Enter your answers in the boxes with your greatest answer first. The zeros of f(x) ar AN A/
Answers
Answer:
The answer is 2 and (-9)
Step-by-step explanation:
x² + 7x – 18 = 0
x² + 9x – 2x – 18 = 0
x(x + 9) – 2(x + 9) = 0
(x – 2) (x + 9) = 0
x = (2, -9)
Thus, The zeroes of the polynomial is 2 and (-9).
Which is the equation of the line with slope 3 and y-
intercept 5.
Answers
Answer:
y=3x+5
Step-by-step explanation:
So your answer will be Y=3x+5
T/F. If A is an m×n matrix and if the equation Ax=b is inconsistent for some b in R^m, then the RREF of A cannot have a pivot position in every row.
Answers
True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.
In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.
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what's the price of something that's $69.80 but has a 60% discount
Answers
Answer:
$116.33.
Step-by-step explanation:
By proportion it is:
69.80 / 0.60
= $116.33.
On four consecutive statistics quizzes, you receive the scores: 86 96 100 98 what is your median quiz score?
Answers
Answer:
98
Step-by-step explanation:
96+100=196
196÷2=98
Answer:
97.
Step-by-step explanation:
86 96 100 98
Place them in order:
86 96 98 100
The median is the middle value of an ascending sequence of numbers.
As there is an even number of values the median is the mean of the 2 middle ones:
So here it is (96 + 98) / 2
= 97.
Choose the letter of the equation for
the graph.
a. y = sin x + 2
b.y = cos x + 2
c. y = cos(x - 1)
d. y = sin(x - 1)
e. y = sin(x + "/2)
Answers
Using translation concepts, it is found that the equation represented on the graph is of:
d. \(y = \sin{(x - \pi)}\)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have a trigonometric function, with amplitude of 1, hence there was no vertical translation, which removes options a and b.
The function is of zero at the origin, 1 at \(\frac{\pi}{2}\) and -1 at \(\frac{\pi}{2}\). The sine function is of 0 at \(-\pi\), of -1 at \(-\frac{\pi}{2}\) and of 1 at \(-\frac{3\pi}{2}\), hence option d is correct.
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help ASAP plz help me wwith this qqustions
Answers
Answer:
isoceles acute
Step-by-step explanation:
Solve this. Please and thank you.
Answers
the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle
Answers
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.
if the frequency of q of a trait is 0.4, what is the frequency of p? responses 0.2 0.2 0.4 0.4 0.6 0.6 1
Answers
The frequency of p is equal to 1 - q, so q = 0.4, then p = 1 - 0.4 = 0.6
The frequency of p is equal to the inverse of q, so if q has a frequency of 0.4, then p has a frequency of 1 - 0.4 = 0.6. In other words, if the frequency of q is 0.4, then the frequency of p is 0.6. This means that the frequency of p is equal to 0.6, or 60%, while the frequency of q is 0.4, or 40%.
The inverse of q is the opposite of what q represents. In this case, if q has a frequency of 0.4, then this means that q appears 40% of the time. The inverse of q is 1 - 0.4, or 0.6, which means that p appears 60% of the time. Therefore, the frequency of p is equal to 0.6, or 60%, while the frequency of q is 0.4, or 40%. This means that when considering the two frequencies together, p appears 60% of the time and q appears 40% of the time.
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