Step-by-step explanation:
Total surface area of a cylinder =
Area of curved surface (the round body) + area of two circular covers ( the top and bottom cover)
= 2πrh + 2πr²
= 2πr(h+r)
= 2 • 3.14• 6•(8+6)
= 527.52 m²
Cost per m²
= 17,408.16/527.52
= £33
PLS HELP! Select all the correct locations on the image. Select functions f and g such that the ratio of function f to function g is equal to function h.
The functions f(x), g(x) and h(x) are related as a result of composite functions
The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
How to determine the functions f(x) and g(x)?From the question, we have the following equation
h(x) = f(x)/g(x)
This gives
f(x) = g(x) * h(x)
The function h(x) is given as:
h(x) = x - 4
So, we have:
f(x) = g(x) * (x - 4)
The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2
Next, we assume that:
g(x) = x² - x - 2
So, we have:
f(x) = (x² - x - 2) * (x - 4)
Expand
f(x) = (x³ - x² - 2x - 4x² + 4x + 8)
Evaluate like terms
f(x) = x³ - 5x² + 2x + 8
The above function exists in the given table.
Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
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HELP ASAP
6 divided by 200+ 40=
At a local department store, slacks typically cost $45. However, due to a special, the slacks are reduced to $18. What. percent of the original price has the slacks been reduced to? Round your answer to the nearest whole number if necessary.
Answer:
40 Percent decrease
Step-by-step explanation:
We can use a simple formula to solve this problem.
Starting price * X/100 = Ending Price
We plug in our values to solve for X
45 * x/100 = 18
You simplify the equation and you should get X as 40, meaning there is a 40 Percent decrease in price.
A kennel has 110 dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a kennel is 1 : 4. How many puppies are there?
Answer: 22puppies 88 adults
Step-by-step explanation: Ratio 1: 4 with 110 = 110/5 =22
if ration 1 is 22 then ratio 4 is 22×4
A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and
the final examination counts as two tests. Sara has test scores of 65, 62, and 60. Sara's quiz scores are 61, 96, 80, and
89. Her final examination score is 65. Use the weighted mean formula to find Mara's average for the course. (Round
your answer to one decimal place. )
Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the weights are as follows:
A quiz has a weight of 1.A test has a weight of 2.The final examination has a weight of 4.Hence, her weighed mean is given as follows:
[tex]M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6[/tex]
Mara's average for the course was of 68.6.
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Alissa would like to make a deposit into her savings account. she filled out a deposit ticket and handed it to the teller at her bank. the teller apologizes to alissa and explains that she cannot accept the deposit ticket in its current form. determine what, if anything, alissa will have to change in order for her deposit ticket to be accepted. a deposit ticket. the amount deposited is 899 dollars and 86 cents and she is taking 260 dollars out as cash. the total on the slip is 629 dollars and 86 cents. a. the sub total is calculated incorrectly b. alissa forgot to sign the deposit ticket for less cash back c. the total is calculated incorrectly d. alissa forgot to date the deposit ticket please select the best answer from the choices provided a b c d
Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
What is a deposit ticket?A deposit ticket is a little paper where you are required to fill in the details of the deposit that you seek to make into your savings account. All information in the ticket ought to be filled accurately.
The teller may have declined to receive the ticket due to incorrect total amount filled on the ticket. Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.
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Answer:
a. the subtotal is calculated incorrectly
Step-by-step explanation:
I'm good at math ;)
Hello! Pls help me! I dont get this!
Jaleel did the sides by eachother.
Since it's 3d, it also wants them/us to count the sides that are not shown. He did one side by the length and then another by the height, then doubled it. Finally he added it all together
LOCKS IN 15 MIN! WILL GIVE BRAINLEST! In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to angle φ has a length of 49.5 meters, and the hypotenuse has a length of 57.4 meters. What is the value of cot(φ)?
1.979
1.707
0.586
1.160
Answer:
option (b) 1.707
Step-by-step explanation:
1.707 is your required answer
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope should be -2
You should go down 2 and go over 1.
Slope Intercept Form: y= -2x+3
Step-by-step explanation:
First, you need to identify the slope: (meaning whether it is a postive or negative.)
In this case, You have a negative slope.
This means instead of rising you're decreasing down.
When you "run" or move horizontally you MUST move right even if it's a negative slope.
Now, you need to identify your Y-Intercept.
Your Y-Intercept should be (0,3)
Next, you have to find your slope:
In order to find your slope, you need to find where the line is crossing the coordinate.
Start at (-1,5) and go down and over to (0,3)
Your answer should be that you went down 2 and over 1.
The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.
The slope is -2.
In Slope Intercept Form: y= -2x+3
Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
Answer:
5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Answer:
5.20 ft (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Height of an equilateral triangle}=\dfrac12(\sqrt{3}x)\quad \textsf{(where}\:x\:\textsf{is the side length)}[/tex]
Given:
[tex]x[/tex] = 6 ft[tex]\begin{aligned}\implies \textsf{Height} & =\dfrac12(6\sqrt{3})\\ & =3\sqrt{3}\\ & =5.20\: \sf ft \: \textsf{(nearest hundredth)}\end{aligned}[/tex]
a possible verbal description for this function relation y=5x+10
Answer:
See below.
Step-by-step explanation:
The rate of a taxi is a $5 per mile and there is a service charge of $10. Represent the total cost, y, as a function of number of miles, x.
if the vertex of a quadratic functions is on the x-axis, what must be true about the number of x-intercepts? How do you know?
Answer:
x-intercepts are points at which the curve intercepts the x-axis, so when y = 0.
If the vertex of a quadratic function is on the x-axis, there will be only one x-intercept since the parabola will intersect the x-axis at one point only.
If the vertex of the function touches the x-axis, the zero at this point will have a multiplicity of two. For example, if the vertex is at (4, 0), and therefore the zero is at x = 4, then the function will be [tex]y=a(x - 4)^2[/tex] (where a is some constant).
Vertex form of parabola
y=a(x-h)²+kWhere
vertex=(h,k)So
if vertex is on x axis k is 0 and the parabola has only 1 x intercept
The form will be
y=a(x-h)²PLEASE HELP, I'LL GIVE BRAINLYEST
What is the linear equation?
Answer:
y=3/2x+6
Step-by-step explanation:
M=slope
B=Y intercept
In ΔHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ∠H to the nearest degree.
Answer:
h=97
Step-by-step explanation:
38+45=83
180-83=97
what is the volume of the rectangular prism?
Answer:
4 inches x 8 inches x 3 inches = 96 inches³
find the measure of angle WYU
Check the picture below.
find a number halfway between 2 1/2 and 1 1/3
Answer:
23/12
Step-by-step explanation:
2 1/2 = 5/2(3/3) = 15/6
1 1/3 = 4/3(2/2) = 8/6
15/6 - 8/6 = 7/6
7/6(1/2) = 7/12
16/12 + 7/12 = 23/12
factor the following using the difference of squares method
a) x^2 - 16 b) 9y^2 - 25
Answer:
a)
[tex] {x}^{2} - 16 \\ = {x}^{2} - {4}^{2} \\ = (x + 4)(x - 4)[/tex]
b)
[tex] {9y}^{2} - 25 \\ = {(3y)}^{2} - {5}^{2} \\ = (3y + 5)(3y - 5) [/tex]
here is the answer hope that will help you
Madison has a fish tank that is 12.8 inches wide, 36 inches long and 24`\frac{1}{2}`inches deep. The manager at the fish shop suggested that she fill the tank half way up with water because the fish will still have plenty of room to swim and they will not jump out. If Madison follows the manager's suggestion, how much water will it take to fill the tank half way up? Please hurry
Answer:
Step-by-step explanation:
First Multiply 12.8, 36, and 24 1/2 or 12.8 x 36 x 24.5 which equals 11289.6, and divide it by 2 which gives you 5644.8 inches of water.
erry cut an 88-foot-long board into 66 pieces that are equal in length. how?
Answer:
See below
Step-by-step explanation:
88ft * 12 in/ft = 1056 in
1056 / 66 = 16 inches each board
by making 65 cuts , you can have 66 sixteen inch boards
my bro needs help again whyy
Answer:
0.42
Step-by-step explanation:
when your multiplying decimals that small, it usually doesnt go into the whole number range
Yoko deposited $4000 into an account with 5.8% interest, compounded semiannually. Assuming that no withdrawals are made, how much will she have in the account after 8 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
If no withdrawls were made, the total amount of money Yoko would have in her account in 8 years is $6,319.84.
What is the value of the account after 8 years?When an account is compounded semiannually, it means both the amount deposited and the interest accrued increases in value twice yearly.
The formula that can be used to determine the value of the account in 8 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 5.8/2 = 2.9%m = number of compounding = 2N = number of years$4000 x (1.029)^(2x8) = $6,319.84
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A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected. What is the probability that the first apple is green and the second apple is red?
Can someone help me please!!
Answer:
D
Step-by-step explanation:
[tex](40 - 10)x - 12000 \geqslant 980[/tex]
[tex]30x - 12000 \geqslant 980[/tex]
Factor the polynomial by its greatest common monomial factor.
20
y
6
−
15
y
4
+
40
y
2
=
20y
6
−15y
4
+40y
2
Answer:
5y^2(4y^4 - 3y^2 +8
Step-by-step explanation:
20y^6 - 15y^4 + 40y^2
What is the area of figure
There is no figure pic above
Step-by-step explanation:
Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies
Answer:
27 pies
Step-by-step explanation:
looking at the data we see that for every 26 pies sold, 13 (half) were chocoltae cream pies.
26 divided by 2 = 13
from this we can tell that if she were to sell 54 pies, half of sales would be chocolate, meaning 54 divided by 2
54/2 = 27 pies
What is the inverse of the function below?
f(x) = x/3 -2
O A. f(x) = 3(x + 2)
O B. f(x) = 3(x - 2)
O c. f'(X) = 2(x - 3)
O D. f '(x) = 2(x + 3)
Answer:
A
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x}{3}[/tex] - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{x}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
3(y + 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then inverse function is
[tex]f^{-1}[/tex] (x) = 3(x + 2)
What kind of transformation converts the graph of f(x)=2x–2 into the graph of g(x)=2x+2?
Answer:
A transformation of (0,4), in order words, adding 4 to all your y-values.
Step-by-step explanation:
If you were to plot f(x) and g(x), you'd notice that all the y-values have been moved up by 4. To prove this to yourself, lets take the y-intercept.
Let x = 0, then g(0) = 2 and f(0) = -2, as you can see the y-value of the intersect has been shifted upwards by 4. Therefore, it can be said that f(x) has been shifted by (0,4), so f(x) +4 = g(x).
IRA HAS 120 SONGS ON HER PLAYLIST .EACH WEEK SHE DOWNLOIADS FOR NEW SONGS
If she adds songs new in constant amount like 2 per week
Then it will form an arithmetic sequence.
Where common difference is dAnswer:
[tex]f(w)=116+4w[/tex]
Step-by-step explanation:
QuestionIris has 120 songs on her playlist. Each week, she downloads 4 new songs. Write an expression to show the total number of songs on Iris's playlist after [tex]w[/tex] weeks.
SolutionThis scenario can be modeled as an arithmetic sequence since Iris is adding a constant number of songs to her playlist each week.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsWe are told that she starts with 120 songs on her playlist, so [tex]a=120[/tex]
We are told that she adds 4 new songs each week, so [tex]d=4[/tex]
Also, [tex]n=w[/tex]
Substituting these values into the formula:
[tex]\implies a_w=120+(w-1)4[/tex]
[tex]\implies f(w)=116+4w[/tex]