Answer:
25
Step-by-step explanation:
5 x3 is 15 and then add 10. im sure u know that but yea
Factor the expression 2x4y – 18x2y3 completely.
A. 2x2y(x2 – 9y2)
B. 2x2y(x – 3y)(x + 3y)
C. 2x2y(x – 3y)2
D. 2x2y(x – 9y)(x + 2y)
Answer:
B
Step-by-step explanation:
[tex]2x^{4}y - 18x^{2}y^{3}[/tex]
Both sides have [tex]x^{2}[/tex]
[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]
Both sides have y
[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]
Both sides have 2
[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]
Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex][tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]
[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]
Final:
[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]
Hope this helps ^-^
The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
What is Factorization?The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.
The given expression is 2x⁴y-18x²y³.
Factor the expression as follows:
2x⁴y-18x²y³
= 2x²y(x² - 9y²)
= 2x²y(x² - (3y)²)
= 2x²y(x + 3y)(x- 3y)
Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
Learn more about factorization:
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Sam has 3 cards and he buys a more. Write an expression for the number of cards Sam has.
Answer:
T=(3)+A
Step-by-step explanation:
A is how many more
t is total
3 is how many cards he owns
hope this helped
What is 1/8% of 1000
Answer:
12500
Step-by-step explanation:
1/8%x1000=12500
Answer:
125
Step-by-step explanation:
1000÷8=125
Find the mean median and mode 12,13,14,9,7,8,15,10
Answer:
See below.
Step-by-step explanation:
The first thing to do is to put all the numbers in order.
[tex]7, 8, 9,10,12,13,14,15[/tex]
First, let's find the mode.
The mode is where there is a repeating number in a set. If you look, there is no repeating number. Which means, there is no mode for this set.
Next, we find the median.
[tex](10 + 12) / 2 = 11[/tex]
The median would be [tex]11[/tex].
Then, we find the mean.
For the mean, you add up all the numbers and you will divide it by how many numbers there are.
[tex]7,8,9,10,12,13,14,15 = 88[/tex]
[tex]88 / 8 = 11.[/tex]
The mean is [tex]11[/tex].
mean median and mode of 14, 10, 12, 15, and 13
Answer:
mean= 12.8
median=13
mode=there is no mode
Step-by-step explanation:
mean/average=14+10+12+15+ 13=64/5=12.8
median=10,12,13,14,15=13
mode= is the number that repeats more often. = there is no mode
Which is the equation of the graphed line written in
standard form?
y = x
0 x 1/2y = 0
© x-y = 0
5-3211 2
3
4
5
X
o y = 2 x
Answer:
x - y = 0
Step-by-step explanation:
When y = x is written in standard form, it equals x - y = 0
0 + y = x
- y - y
0 = x - y
If this answer is correct, please make me Brainliest!
Someone please help me
Step-by-step explanation:
4x + 12x = 320 (given in picture)
16x = 320 (combine like terms: 4+12 = 16)
x = 20 (isolate x for answer: 320/16 is 20)
:)
The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.
Answer:
The ballast bag hits the ground after 6 seconds.
Step-by-step explanation:
Suppose there was a small typing mistake.
The height of the ball, after t seconds, is given by the following equation:
[tex]f(t) = -16t^{2} + 576[/tex]
After how many seconds t does the ballast bag hit the ground.
This is t for which f(t) = 0. So
[tex]f(t) = -16t^{2} + 576[/tex]
[tex]-16t^{2} + 576 = 0[/tex]
[tex]16t^{2} = 576[/tex]
[tex]t^{2} = \frac{576}{16}[/tex]
[tex]t^{2} = 36[/tex]
[tex]t = \pm \sqrt{36}[/tex]
Time is a positive measure, so
[tex]t = 6[/tex]
The ballast bag hits the ground after 6 seconds.
Does the equation y = x/2
represent a proportional relationship?
Yes, because the coefficient of x is positive
No, because it is not in the form y=kx
No, because its graph does not pass through the origin
Yes, because its graph is a line that passes through the origin
QUICK PLEASE!! TY!
Answer:
D) Yes, because its graph is a line that passes through the origin--------------------------
The form of the equation of a proportional relation is:
y = kx, where k is the coefficient.In the given case y = 1/2x, where k = 1/2, so it represents proportional relationship.
Answer choices:
A. Yes, because the coefficient of x is positive.
False, as the coefficient of x can be negative too.B. No, because it is not in the form y = kx.
False, as it is in the form of y = kx.C. No, because its graph does not pass through the origin.
False, graph passes through the origin.D. Yes, because its graph is a line that passes through the origin
True, the graph passes through the origin; y = 0 at x = 0 regardless the value of k.How many times larger is the volume of a cone if the radius is multiplied by 6?
Answer:
36 times larger.
Step-by-step explanation:
V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.
If the radius is multiplied by 6 the new formula is:
V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]
Which is simplified to:
V= [tex]\pi *36r^2*\frac{h}{3}[/tex]
The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.
A gardener uses 1/3 of a litter of water to water 2/7 of a garden. How much will the garden require?
Answer:
A gardener uses 1/3 of a liter of water to water 2/7 of a garden. Watering the entire garden at this rate will require liters of water.
Step-by-step explanation:
6) The Artisan Pizza Co sells take-out pizza in two shapes: an "individual” 6-in. square slice and a circular "party"
wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square
slice costs $2.95 and the entire party wheel costs $15.95.
a. Which is larger: The square slice or one section of the party wheel?
b. Which option has a better value? (Hint: you are comparing the cost and area for the square slice and the
cost and area for the WHOLE party wheel...not just a slice)
Answer:
132
Step-by-step explanation:
WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
what is the 15th n term of the sequence 22 18 14 10 6
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
Picture attachment below
Answer:
$4.50 for 9 cans
Step-by-step explanation:
cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is white paint how many pints of white paint did she use to paint her bedroom
Answer:
1.975 pints of white paint
Step-by-step explanation:
Let blue paint represents by 'b' and white paint represents by 'w'.
Then according to the question
b + w = 7.9 pints .......(1)
Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount
= [tex]\frac{3}{4}\times 7.9[/tex]
= 5.925 pints
Hence the amount of blue paint is 5.925 pints.
Now putting the value of 'b' in equation (1)
5.925 + w = 7.9
w = 7.9 - 5.925
w = 1.975 pints
Cathy used 1.975 pints of white paint to paint her bedroom.
Leila and Jo are two of the partners in a business. Leila makes $4 in profits for every $5 that Jo makes. If Jo makes $60 profit, how much profit does Leila make?
Answer:
Leila would make a profit of $48
Step-by-step explanation:
~ Knowing that there is some sort of proportion that can be formed through Leila and Jo's profit, we could form even a proportionality to compute the profit Leila makes given jo's profit of $60 ~
If is is known that Leila: Jo, 4: 5, we could form such a proportion:
4 5 ⇒ where x - Leila's profit knowing Jo's profit of $60
x 60
Now let us solve for x, through cross multiplication:
5x = 60 * 4,
5x = 240,
x = profit of $48
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weight of 3/8 pound or less
Answer:
2.25 pounds
Step-by-step explanation:
The diagram showing the weight of bags with grapes is shown in the attached file below.
From the diagram; number of bags of grapes that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is:
[tex]\dfrac{3}{8}[/tex] pounds = 3
[tex]\dfrac{1}{4}[/tex] pounds = 4
[tex]\dfrac{1}{8}[/tex] pounds = 1
Thus; the total is = 3+4+1 = 8
However, The total weight of the grapes in the bag that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is :
= [tex]\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)[/tex]
= [tex]\dfrac{9}{8} + 1 + \dfrac{1}{8}[/tex]
= [tex]\dfrac{9+8+1}{8}[/tex]
= [tex]\dfrac{18}{8}[/tex]
= 2.25 pounds
The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.
Amount of food in feeder at end is (16 - a) fl oz
Given that;
Amount of food in feeder in starting = 16 fl oz
Find:
Amount of food in feeder at end
Computation:
Assume;
a fl oz eats by animals
So,
Amount of food in feeder at end = 16 - a
Amount of food in feeder at end = (16 - a) fl oz
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Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.
Question:
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
Options B & C are correct.
Step-by-step explanation:
Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
L = 12 m
w = 12 m
h = 10 m
To find the volume of this rectangular prism, let's use the formula:
V = w*h*l
V = 12 * 12 * 10
V = 1440 m³
Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
b = 12 x 12
h = 8
The volume of a square pyramid formula is:
V = ⅓*a²h
V = ⅓*12²*8
V = 384 m³
To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.
V = 12*12*10 + ⅓*12²*8
V = 1440 + 384 = 1824m³
Therefore, the space inside greenhouse 1 is 1824m³
Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
b = 12 m
h = 8 m
height of prism = 12 m
To find the volume of a triangular prism, we have:
½*(bh) * h
V = ½(12*8)*12
V = 576 m³
To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.
V = (12 * 12 * 10) + (½(12*8)*12)
V = 1440 + 576
V = 2016 m³
Therefore, the space inside greenhouse 2 is 2016m³
From the calculations above the correct options would be:
(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Options A, D and E are wrong.
Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.
Answer:
THE ANSWERS ARE.... B AND C
B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Step-by-step explanation:
i just took it on EDGE 2020. I hope it helps :)
How to write (X+3)(x+5) in a equivalent expression
Answer:
x^2 +8x+15
Step-by-step explanation:
(X+3)(x+5)
FOIL
first x^2
outer 5x
inner 3x
last 15
Add together
x^2 +5x+3x+15
x^2 +8x+15
Answer:
Step-by-step explanation:
(x+3)(x+5)=x²+5x+3x+15
x²+8x+15 is equivalent to: (x+3)(x+5)
Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?
Answer:
Domingo 12 de abril
Step-by-step explanatio
El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30 Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas
At a bake sale, there are 50 chocolate cupcakes and 30 vanilla cupcakes. Of these cupcakes, 15 chocolate and 5 vanilla have cream filling. What percentage of the cupcakes have cream filling?
Answer:
25%
Step-by-step explanation:
50+30 = 80
15 + 5 = 20
20/80 = 0.25, or 25%
Answer:
25% of cupcakes have cream filling
Step-by-step explanation:
15+5=20
50+30=80
20÷80=0.25
0.25×100=25
What is the sum of this arithmetic series?
ASAP WILL MARK BRAINLIEST
Answer:
ITS C OF THE ARITHMETIC SERIES !!
HOPE IT HELPS
Step-by-step explanation:
what is the area of this triangle?
Answer:
1099.589 ft^2
Step-by-step explanation:
idk what happen to my answer but some bozo delete my answer but ehre you go again for any who has the same question:)
Find the area of the shape shown below.
Answer:
The answer should be 4800
I Think There is ALLWAYZ a 50-50 CHANCE
PLEASE HELP !!! ASAP
What is the volume? Please answer asap.
Answer:
20
Step-by-step explanation:
The volume of a cone is 36 pi inches cubed. What is the volume of a cylinder with the same base and height as the cone?
12 pi inches cubed
36 pi inches cubed
72 pi inches cubed
108 pi inches cubed
Answer:
the answer is d! :)
Step-by-step explanation:
edge 2021
Answer:
it is D.
Step-by-step explanation:
the person ubove me is right