A rectangular prism with volume of 315 cubic inches can be formed with length, width and height of of 9inches, 7 inches and 5 inches respectively
How to form a rectangular prism with the given volumeVolume of a rectangular prism = lwh
where
h = heightw = widthl = lengthTherefore,
volume of the rectangular prism = lwh
315 = lwh
315 = 9 × 7 × 5
Therefore, a rectangular prism with volume of 315 cubic inches can be formed with length, width and height of 9inches, 7 inches and 5 inches respectively.
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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
Find the surface area of this cube.
8 in
8 in
8 in
sq in
Answer:
Step-by-step explanation:
A cube has 6 faces in square shape.
[tex]\boxed{Surface \ area \ of \ cube = 6a^{2}}}[/tex]
Here a is the measurement of edge. a = 8 in
= 6*8*8
= 384 square in
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 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).
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)²find 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
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?
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
What is the area of figure
There is no figure pic above
Step-by-step explanation:
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]
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.
Learn more about savings account:
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Answer:
a. the subtotal is calculated incorrectly
Step-by-step explanation:
I'm good at math ;)
what is the volume of the rectangular prism?
Answer:
4 inches x 8 inches x 3 inches = 96 inches³
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]
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.
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]
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
A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m above sea level how far is the boat from the foot of the cliff?
Answer:
From the photo above i interpreted the question and drew a triangle to make it easier to solve
Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)
Tan θ =Opp/Adj
Tan 22°=15/a
Cross Multiply
aTanθ=15°
Divide both sides by Tan 22
aTan22/Tan22 = 15/Tan 22
a = 15/Tan 22°
a = 37.13 m
Therefore the distance between the foot of the cliff to the boat is 37.13 metres
PLEASE HELP, I'LL GIVE BRAINLYEST
What is the linear equation?
Answer:
y=3/2x+6
Step-by-step explanation:
M=slope
B=Y intercept
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
find the measure of angle WYU
Check the picture below.
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)
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
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
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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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 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.
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
HELP ASAP
6 divided by 200+ 40=
9x^8 6x^4(y 2) (y 2)^2 factor by subtraction
Answer:
The groups have no common factor and can not be added up to form a multiplication. Final result : 9x8 + 6x4y + 12x4 + y2 ...
Step-by-step explanation:
so did u understand
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