Answer:
C. y, y + 2, 2y + 14
Step-by-step explanation:
Given
[tex]Volume = 2y^3 + 15y^2 + 28y[/tex]
Required
Determine which set of dimensions is applicable
The volume of a rectangular prism is calculated as:
[tex]Volume = Length * Width * Height[/tex]
So, to solve this question, we have to test each options using the above formula
A. y, y + 4 and 2y + 7
[tex]Volume = y * (y + 4) * (2y + 7)[/tex]
Open brackets
[tex]Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)[/tex]
[tex]Volume = y(2y^2+ 8y + y^2+ 28)[/tex]
[tex]Volume = 2y^3+ 8y^2 + y^3+ 28y[/tex]
Collect Like Terms
[tex]Volume = 2y^3 + y^3+ 8y^2+ 28y[/tex]
[tex]Volume = 3y^3+ 8y^2+ 28y[/tex]
B. y, y + 7, 2y + 4
[tex]Volume = y * (y + 7) * (2y + 4)[/tex]
Open brackets
[tex]Volume = y * (y * (2y + 4)+ 7* (2y + 4))[/tex]
[tex]Volume = y * (2y^2 + 4y+ 14y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y+ 28)[/tex]
[tex]Volume = 2y^3 + 18y^2+ 28y[/tex]
C. y, y + 2, 2y + 14
[tex]Volume = y * (y + 2) * (2y + 14)[/tex]
Open brackets
[tex]Volume = y * (y* (2y + 14) + 2* (2y + 14))[/tex]
[tex]Volume = y * (2y^2 + 14y + 4y + 28)[/tex]
[tex]Volume = y * (2y^2 + 18y + 28)[/tex]
[tex]Volume = 2y^3 + 18y^2 + 28y[/tex]
There's no need to check the last option because option c answers the question.
Hence, the dimension is y, y + 2, 2y + 14
You and your family attend a Broadway show in New York City. The show begins at
6:58pm and ends at 9:46pm. How many seconds long is the show?
From 7:00 to 9:46 we see it passes 2 hours and 46 minutes.
But it started 6:58 . So we add +2 minutes. 46+2 = 48
2 hours and 48 minutes.
But we must find the second form.
1 hours = 60 minutes = 3600 seconds
So, 2 hours = 120 minutes = 7200 seconds.
and 1 minutes = 60 seconds
48 minutes = 60 x 48 = 2880 seconds.
7200 + 2880 = 10080 seconds.
The vertices of ∆ABC are A(7,3),B(−8,6),C(0,−5). If ∆ABC is translated along the vector <−9,5>, what are the coordinates of the vertices of ∆A'B'C' ?
Answer:
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
Step-by-step explanation:
Let be [tex]A =(7,3)[/tex], [tex]B = (-8,6)[/tex] and [tex]C = (0,-5)[/tex] the vertices of the original triangle, as well as [tex]\vec t = \left<-9, 5\right>[/tex], the coordinates of the vertices of the new triangle are, respectively:
[tex]A' = A + \vec t[/tex]
[tex]A' = (7,3)+(-9,5)[/tex]
[tex]A' = (7-9,3+5)[/tex]
[tex]A'=(-2,8)[/tex]
[tex]B' = B + \vec t[/tex]
[tex]B' = (-8,6)+(-9,5)[/tex]
[tex]B' = (-8-9,-9+5)[/tex]
[tex]B'=(-17,-4)[/tex]
[tex]C' = C + \vec t[/tex]
[tex]C' = (0,-5)+(-9,5)[/tex]
[tex]C' = (0-9,-5+5)[/tex]
[tex]C'=(-9,0)[/tex]
The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].
PLEASE help me. I am stuck on this question for a long time.
Answer:4th option
Step-by-step explanation:
Answer: D. Set B has a higher mean and a Higher standard deviation than Set A
Step-by-step explanation:
Set A and Set B has the same amount of data and all are identical except the maximum. In this scenario, the larger the numbers, the higher the mean. Since the maximum of Set B is greater that Set A, Set B has a higher, mean.
--------------------------------------------
The higher the standard deviation, the larger the gap between data sets. Since Set B has a larger maximum, this means it is further away from other data comparing to Set A, thus, Set B has a higher standard deviation
For all x, 5-3(x-4)=
Simplify
Let's simplify step-by-step.
x(5)−3(x−4)
Distribute:
=x(5)+(−3)(x)+(−3)(−4)
=5x+−3x+12
Combine Like Terms:
=5x+−3x+12
=(5x+−3x)+(12)
=2x+12
Answer:
=2x+12
Please help to write the following
Answer: option 2. x²-1
Step-by-step explanation:
concept to know: a²-b²=(a+b)(a-b)
------------
(a+b)(a-b)=a²+b²
(x+1)(x-1)=x²-1
Hope this helps!! :)
Please let me know if you have any question
Simplify. (3 + 2) + (4 + 3) =
Answer:
5 + 7
Step-by-step explanation:
3 + 2 = 5, 4 + 3 = 7
Answer:
Simplified expression: 5 + 7
Answer: 12
Step-by-step explanation:
3 + 2 = 54 + 3 = 75 + 7 = 12URGENT! Will earn 100 points if you can answer all of these questions on PAPER OR DOCUMENT. Send link to email, messages, or through the answer page.
( MESSAGE JamSandwitch FOR EMAIL AND TO SEND DOCUMENT / ANSWERS ! )
Answer:
see below
Step-by-step explanation:
3) 8
4) 4
5) 14
6) 47
7) 18/5
8) 3/2
9) 255/4
10) 16
11) 21
12) 40
13) 73.5
14) 1
15) 25/2 or 12.5
16) 0
17) 48
18) 862
19) 9765625
20) 343
21) 8.1x10⁻³
22) 10.24
23) 1/156
24) n⁷
25) y⁶
26) t⁴
27) error is 0.4² should be 0.02²
28) 5⁴ = 5 x 5 x 5 x 5 = 625
29) 9
30) 100
31) 1
32) 1331
33) 125
34) 1024
35) 64
36) 1296
37) 1/16
38) 16/81
39) 27/125
40) 1/216
hope you enjoy the answers.
Answer:
thx
Step-by-step explanation:
31*r+1.1*(35−31)*r = 410.64.
Answer:
11.6
Step-by-step explanation:
Solving with steps as below:
31*r+1.1*(35−31)*r = 410.6431r + 1.1*4r = 410.6431r + 4.4r = 410.6435.4r = 410.64r = 410.64/35.4r = 11.6Answer is: r =11.6
A positive number is 5 times another number, if 21 is added to both numbers, then one of the new numbers becomes twice the other new number, what are the numbers?
x - the first number,
y - the second number
We have:
[tex]\begin{cases}y=5x\\y+21=2(x+21)\end{cases}\\\\\\\begin{cases}y=5x\\y+21=2x+42\end{cases}\\\\\\\begin{cases}y=5x\\5x+21=2x+42\end{cases}\\\\\\\begin{cases}y=5x\\3x=21\quad|:3\end{cases}\\\\\\\begin{cases}y=5x\\\boxed{x=7}\end{cases}\\\\y=5x\\\\y=5\cdot7\\\\\boxed{y=35}[/tex]
So answer is 7 and 35.
(2x+ 2) +(3 - 5x) 4.) (3x - 4x4) +(2x + 5x4)
Step-by-step explanation:
Here,
[tex]1. \: (2x + 2) + (3 - 5x)[/tex]
open brackets,
[tex]2x + 2 + 3 - 5x[/tex]
[tex] = - 3x + 5[/tex]
now,
[tex]2. \: (3x - {4x}^{4} ) + (2x + {5x}^{4} [/tex]
open brackets,
[tex] = 3x - {4x}^{4} + 2x + {5x}^{4} [/tex]
simplifying like terms,
[tex] = {x}^{4} + x[/tex]
Hope it helps...
What’s is the factor?
125 +27y^3
Answer:
[tex](3y+5)(9y^{2} -15y+25)[/tex]
Step-by-step explanation:
There is a triangle called XYZ the measurements are 12m 15m and 9m. What 2 kinds of a triangle is that? This would be helpful if someone answered this! UwU Tanks
Answer:
Right angle triangle
Step-by-step explanation:
12m
15m
9m
Assume the Longest side=15m
Using Pythagoras theorem
c^2=a^2 + b^2
Where,
c=hypotenuse
a=adjacent
b=opposite
Let a=9m
b=12m
c^2=a^2 + b^2
=9^2 + 12^2
=81 + 144
c^2=225
c=√225
=15m
Therefore, the triangle XYZ is a right angle triangle
1. Write the interval shown on the number line
below
3 4 5 6 7 8
as an inequality
using set notation
Answer:
[tex]x\geq 5[/tex]
[tex]\{x\ |\ x \geq 5\}[/tex] OR {5, 6, 7, 8, .....}
Step-by-step explanation:
First of all, let us have a look at the interval shown on the number line and try to understand it properly.
The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.
The number highlighted starts from 5 and there is filled circle at 5.
So, 5 is included in the interval.
The arrow is from 5 towards 8 and so on..
That means Numbers greater than or equal to 5 are represented by the interval.
So, writing as an inequality
Let [tex]x[/tex] represents one of the numbers.
Hence, inequality can be written as:
[tex]x\geq 5[/tex]
Using the set notation:
[tex]\{x\ |\ x \geq 5\}[/tex]
OR
{5, 6, 7, 8, .....}
Given T(x, y)=(x+2, y+5), state the translation S(x, y) that would yield the identity transformation, I=S(T(x,y)).
Answer:
The translation S(x, y) for the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5)
Step-by-step explanation:
Identity transformation is the transformation that results in the copying of the source data to the destination data without change.
Given that T(x, y) = (x + 2, y + 5)
The identity transformation I = S(T(x, y)) that would allow a data (x, y) to remain the same at the destination after the transformation T(x, y) is given as follows;
Where S(x, y) = ( x - 2, y + 5), we have;
S(T(x, y)) = S(x + 2, y + 5) = (x + 2 - 2, y + 5 - 5) = (x, y)
Therefore the translation S(x, y) that would yield the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5).
How do you think business owners determine how much of each of their products to make?
Answer:
They determine how much to make by how much demand there is for said product from the consumer.
Step-by-step explanation:
Solve the inequality T > L plus D all divided by B for D.
Answer:
T > (L + D)/B...multiply by B
TB > L + D ... subtract L
TB - L > D
can you plz mark me brainiest ;<
tank chu hope this helps TwT
Four penguins would satisfy a polar bear's appetite for 12 hours. A polar bear has a
territory of 10 square miles. There are 1000 penguins per square mile. What percent
of penguins (number eaten divided 1000 times 100) in the 10 square miles will a wild
polar bear eat?
Answer:
0.04%
Step-by-step explanation:
If there are 1000 penguins per square miles, the total number of penguins in a 10 square miles will be 1000*10 = 10,000 penguins/10square miles
Since a polar bear has a territory of 10 square miles, and can only eat four penguins within the 10square miles;
Percentage of penguins that the polar bear can eat will be expressed as;
number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100
Percentage of penguins that the polar bear can eat = 4/10,000 * 100%
Percentage of penguins that the polar bear can eat = 4/100%
Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%
A news site offers a subscription that costs $28.50 for 6 months. What is the
unit price per month? Show your work.
Answer:
The correct answer is $4.75/month.
Step-by-step explanation:
To find the unit price per month, or the amount that of the subscription that will be paid each month, we must divide the total price ($28.50) by the number of months covered (6 months).
$28.50/6 = $4.75
Therefore, the unit price per month is $4.75/month.
Hope this helps!
3) Taylor's soccer team purchased uniforms and equipment for a total of $912. The equipment costs $612 and the uniforms cost $25 each. How many uniforms did the school purchase?
Answer: They purchased 12 uniforms
Step-by-step explanation:
If the equipment cost $612 in total and the uniforms cost $25 each and they spent a total for $912 then we could represent it by the equation 25x + 612 = 912 where x is the number of uniforms that the school purchase.
25x + 612 = 912 solve for x by subtracting 612 from both sides
612 612
25x = 300 divide both sides by 25
x = 12
HELP PLEASE.... Find the volume of this triangular pyramid Volume = 1/3(Area of Base)(Height) Enter only the numerical part of your answer in cubic units.
Answer:
[tex]96ft^{2}[/tex]
Step-by-step explanation:
Step 1: Find the area of the base
[tex]\frac{bh}{2} =\frac{(8)(6)}{2}=\frac{48}{2}=24ft^{2}[/tex]
Step 2: Find volume
[tex]=\frac{1}{3}(24)(12) \\=\frac{1}{3}(288)\\=96ft^{3}[/tex]
6. Audrey's monthly car payment is $350 and
she needs to save at least $35 each month for
gas. If Audrey is paid $17.50 an hour, write
and solve an inequality to represent the
number of hours she must work in a month to
pay for her car payment and gas.
Answer:
22 hours
Step-by-step explanation:
For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.
$350 + $35 = $385
Audrey makes $17.50 an hour. Set up an equality to find the amount of hours she must work to pay for her car payment and gas.
17.50x > 385
(17.50x)/17.50 > 385/17.50
x > 22
Audrey must work at least 22 hours to pay for her car payment and gas.
Casey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone? Tambourine: $13.95
Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them. The estimated total to the nearest dollar is $37, so he can afford them. The estimated total to the nearest dollar is $36, so he can afford them. The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
It’s the estimate tidal to the nearest dollar is $38 so he can offered them
Step-by-step explanation:
help please it’s my last question it should be two answers
Answer:
Choices 1 and 5
Step-by-step explanation:
155 + 166 = 25 + 296
Correct choices:
155 - 296 = 25 - 166
This is obtained by subtracting 296 and 166 from both sides of initial equation166 - 25 = 296 - 155
This is obtained by subtracting 25 and 155 from both sides of initial equation(3 x 105 ) x (2 x 103 )
Use the rules for division and multiplication to complete the questions below. Convert regular numbers to scientific notation to determine the answer.
Answer:
64,890
Step-by-step explanation:
105×3 =315
103×2= 206
315×206= 64,890
Answer:
6.489× 10⁴
Step-by-step explanation:
(3×105)×(2×103)
315× 206
64,890
6.489×10⁴
Mrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, the width is 1.8 ft and the height is 2 ft?
Answer:
18.72 cubic feet
Step-by-step explanation:
Volume of the aquarium = lwh
l = 5.2 ft,w = 1.8 fth = 2 ftV = 5.2*1.8*2 = 18.72 cubic feet
Which is f(5) for the function –2x2 + 2x – 3?
–107
–63
–43
–37
Answer: C
Step-by-step explanation:
Answer:
(C) -43
Step-by-step explanation:
♥☺
The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use factoring.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)[/tex]
So, the possible dimensions of the rectangle are (x+7) and (x-6).
Thank you.
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{(x + 7) \: and \: (x - 6)}}}}[/tex]Step-by-step explanation:
[tex] \sf{ {x}^{2} + x - 42}[/tex]
Here, we have to find two numbers which subtracts to 1 and multiplies to 42
⇒[tex] \sf{ {x}^{2} + (7 - 6)x - 42}[/tex]
⇒[tex] \sf{ {x}^{2} + 7x - 6x - 42}[/tex]
Factor out x from the expression
⇒[tex] \sf{x(x + 7) - 6x - 42}[/tex]
Factor out 6 from the expression
⇒[tex] \sf{x(x + 7) - 6(x + 7)}[/tex]
Factor out x + 7 from the expression
⇒[tex] \sf{(x + 7)(x - 6)}[/tex]
So, the possible dimensions of the rectangle are x + 7 and x - 6 .
Hope I helped!
Best regards!
evaluate the following expression x^2+x when x=5
Answer:
30 will be the ans to this question
Step-by-step explanation:
5^2 +5
=25+5
=30
pagina 32 de libri de tercero de secundaria
Answer:
Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation
Step-by-step explanation:
Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation hi
I think of a number, multiply it by 4, add 1 and square the result
Step-by-step explanation:
Let the number be x
The number is multiplied by 4
That's
4 × x = 4x
One is added to it
= 4x + 1
The whole result is squared
That's
(4x + 1)²Hope this helps you
Answer:
[tex]\huge \boxed{(4x+1)^2 }[/tex]
Step-by-step explanation:
[tex]\sf Let \ the \ number \ be \ x.[/tex]
[tex]\sf x \ is \ multiplied \ by \ 4.[/tex]
[tex]x \times 4[/tex]
[tex]\sf 1 \ is \ added.[/tex]
[tex]4x+1[/tex]
[tex]\sf The \ result \ is \ squared.[/tex]
[tex](4x+1)^2[/tex]