Answer:
[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]
Step-by-step explanation:
We want to factor the common monomial out of :
[tex]20 {y}^{6} - 15 {y}^{4} + 40 {y}^{2} [/tex]
The greatest common monomial fact is
[tex]5 {y}^{2} [/tex]
We factor to get:
[tex]5 {y}^{2} (4 {y}^{4} - 3 {y}^{2} + 8)[/tex]
The expression in the parenthesis has no common factor again since we factored the greatest common factor.
The greatest common factor of 20y^620y
6
20, y, start superscript, 6, end superscript, -15y^4−15y
4
minus, 15, y, start superscript, 4, end superscript, and 40y^240y
2
40, y, squared is 5y^25y
2
5, y, squared.
[Show me how to find the greatest common factor.]
Now we need to factor 5y^25y
2
5, y, squared out of 20y^6-15y^4+40y^220y
6
−15y
4
+40y
2
20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared.
Hint #22 / 3
\begin{aligned} &\phantom{=}20y^6-15y^4+40y^2 \\\\ &=5y^2(4y^4)+5y^2(-3y^2)+5y^2(8) \\\\ &=5y^2\left(4y^4-3y^2+8\right) \end{aligned}
=20y
6
−15y
4
+40y
2
=5y
2
(4y
4
)+5y
2
(−3y
2
)+5y
2
(8)
=5y
2
(4y
4
−3y
2
+8)
Hint #33 / 3
In conclusion,
20y^6-15y^4+40y^2=5y^2\left(4y^4-3y^2+8\right)20y
6
−15y
4
+40y
2
=5y
2
(4y
4
−3y
2
+8)20, y, start superscript, 6, end superscript, minus, 15, y, start superscript, 4, end superscript, plus, 40, y, squared, equals, 5, y, squared, left parenthesis, 4, y, start superscript, 4, end superscript, minus, 3, y, squared, plus, 8, right parenthesis
I need help finding X in the equation
Answer:
x = 25
Step-by-step explanation:
The two angles are vertical angles and vertical angles are equal
4x+50 =150
Subtract 50 from each side
4x+50-50 = 150-50
4x = 100
Divide each side by 4
4x/4 = 100/4
x =25
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
Step 1: Make an equation
[tex]150 = 4x + 50[/tex]
Step 2: Subtract 50 from both sides
[tex]150 - 50 = 4x + 50 - 50[/tex]
[tex]100 = 4x[/tex]
Step 3: Divide both sides by 4
[tex]100 / 4 = 4x / 4[/tex]
[tex]25 = x[/tex]
Answer: [tex]x = 25[/tex]
The range of a projectile that is launched with an initial velocity v at an angle of with the horizontal is given by R-
where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 15
meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.
Answer: theta ≈ 30°
Step-by-step explanation:
It said on the "show me" box at the bottom of the screen :)
The required angle of the projectile motion having range 20 m and initial velocity 15 m is 30.29°
Range of the projectile motion:
The formula for finding projectile motion is given by
Range R = [tex]\frac{v^2sin2\theta}{g}[/tex]
where v is the initial velocity and g is acceleration and [tex]\theta[/tex] is the projectile angle of the object
How to calculate angle ?If we have given range and initial velocity with acceleration then by substituting above range formula we can find angle of the projectile
Here we have given that
R = 20 m
v = 15 m/s
g = 9.8 m/s^2
Therefore
[tex]20=\frac{15^2sin2\theta}{9.8}[/tex]
[tex]sin2\theta=\frac{20(9.8)}{225}[/tex]
[tex]\theta[/tex] = 30.29
This is the required angle of the projectile
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Tacy deposited $6900 into a savings account that earns 3.1% simple interest
each year, calculated annually. What will be the value of Tacy's account after
9 years?
O A. $1925.10
O B. $8825.10
Oc. $71,113.90
OD. $19,251.00
SUBMIT
Answer:
$8825.10
Step-by-step explanation:
Interest total= P x r x t
P = principal amount, or $6900
r= interest rate, or 0.031
t = time, or 9 years
6900 x 0.031 x 9 = 1925.10
You now add this to the original amount
6900 + 1925.10 = $8825.10
(4,-1)&(6,2) what is the slope
Answer:
[tex]m=\frac{3}{2}[/tex]
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-(-1)}{6-4}[/tex]
[tex]m=\frac{3}{2}[/tex]
Answer: [tex]m=\frac{3}{2}[/tex]
Ms kaimal prints out address labels on 3 sheets of paper each sheet is entirely covered in labels each label takes up 1/12 of a sheet how many labels did she print
Answer:
Labels did she print is 36.
Step-by-step explanation:
Given : Ms kaimal prints out address labels on 3 sheets of paper each sheet is entirely covered in labels each label takes up [tex]\frac{1}{12}[/tex] of a sheet.
To find : How many labels did she print ?
Solution :
[tex]\frac{1}{12}[/tex] of a sheet takes up 1 label.
So, 1 of a sheet takes up [tex]\frac{1}{\frac{1}{12}}[/tex] label.
1 of a sheet takes up 12 label.
Then, 3 of a sheet takes up [tex]12\times 3[/tex] label.
3 of a sheet takes up 36 label.
Therefore, Labels did she print is 36.
1/12* 1/3 is 36 labels basically 12x3
This Question: 1 pt
Find the equation of the line that has the given properties.
Contains (-4,-2); parallel to the line y = – 5x + 3
The equation of the parallel line is .
(Type your answer in slope-intercept form.)
Answer: y = -5x - 22
Step-by-step explanation:
Use the Point-Slope formula: y - y₁ = m(x - x₁)
m = -5 (parallel means it has the same slope)(x₁, y₁) = (-4, -2)y - (-2) = -5(x - (-4))
y + 2 = -5(x + 4)
y + 2 = -5x - 20
y = -5x - 22
What is the perimeter of this tile 6 in and 2 in
Answer:
16 inches
Step-by-step explanation:
Perimeter of a rectangle is
P = 2(l+w)
=2(6+2)
=2(8)
= 16 inches
Answer:
16 in
Step-by-step explanation:
Just multiply!
Maryam needs to add 4 1/2 cups of flour to a recipe. She only has a 3/4 cup measure. How many scoops of flour does she need to add?
Answer:
15
Step-by-step explanation:
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
(–2.2, –6.3)
(–2.4, –6.4)
(2.7, –0.7)
(1.2, –4.7)
Answer: D) (1.2,-4.7)
Step-by-step explanation:
plug in the end corrdinates like it says in the equation that the problem gives you.
The x and y-coordinates of the point C will be equal to (1.2, -4.7).
What is a coordinate system?Using one or even more integers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such as Euclidean space.
The order of the values is important, and they can sometimes be distinguished by their place in an arranged tuple or by a letter, such as "the x-coordinate."
As per the given information in the question,
Coordinates are the location of a point in an (x,y) plot.
The given coordinates are:
A = (7,-2)
B = (-8,-9)
m:n = 5:8
Use the formula given below,
(x, y) = 1/(m + n)(nx₁ + mx₂, ny₁ + ny₂)
(x, y) = 1/(5 + 8)[5(-8) + 8(7), 5(-9) + 8(-2)]
(x, y) = (1.2, -4.7)
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HURRY!!!!!!!!!
Given P(5,10,8) and Q(7,11,10), find the midpoint of the segment PQ.
Answer:
[tex]P_{m}=(6,10.5,9)[/tex]
Step-by-step explanation:
The mid point can be found with the formula
[tex]P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )[/tex]
The given coordinates are [tex]P(5,10,8)[/tex] and [tex]Q(7,11,10)[/tex].
Replacing coordinates in the formula, we have
[tex]P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)[/tex]
Therefore, the mid point of the segment PQ is [tex]P_{m}=(6,10.5,9)[/tex]
Answer:
^its C if ur too lazy to read the equation like me
Step-by-step explanation:
When 6 is added to a certain number, the result is 19. Determine the
number.
Answer:
the answer is 13 hope that helps:)
Answer:
The number is 13
Step-by-step explanation
6 + x = 19
we can move the equation around to help us get our answer
19 - 6 = x
19 - 6 = 13
Your answer is 13 :)
Enter the answer to the problem below, using the correct number of
significant figures.
30.27 + 1.9 + 22.952
On solving the question 30.27 + 1.9 + 22.952 we get 55.1
Significant figures are important in calculations to maintain accuracy.
To add the numbers 30.27, 1.9, and 22.952:
Add the numbers: 30.27 + 1.9 + 22.952 = 55.122.
The number of significant figures in each of the given numbers is different. The answer should have the same number of decimal places as the number with the fewest decimal places, which in this case is 1.9. Thus, the answer should be rounded to 55.1
Hansen's parents own a chocolate shop, and today he gets to help make the nut truffles.
Each truffle starts with one of 2 kinds of nuts and is dipped in one of 7 kinds of chocolate.
How many different nut truffles can they make?
The answer explains the calculation process to determine the number of different nut truffles that can be made, which is 14.
The number of different nut truffles that can be made is:
2 types of nuts x 7 types of chocolate = 14 different nut truffles
help!! study island
Answer:
The answer is b
Step-by-step explanation:
If a bill cost $125. And they leave a $21.25 for a tip what percentage did they tip
Answer:
17%
Step-by-step explanation:
Divide $21.25 by $125
Explain in complete sentences how you graph in the equation y=3x-6.
PLS ANSWER DUE REALLY SOON TODAY!!!
Answer:
y=3x-6 x=2
Step-by-step explanation:
y=3x-6
/3 /3
1.= x
First of all take 3 values of x for example 1, 2 and 3.
Then do the calculations as follows:
y=3×1-6=-3
y=3×2-6=0
y=3×3-6=3
These values that we obtained you are gonna put in a table that's gonna look like this:
| x | 1 | 2 | 3 |
| y | -3 | 0 | 3 |
Then put the values in a chart, and build the graph.
Political pollsters now make sure to conduct a percentage of their telephone interviews by calling mobile phones. This policy best addresses which potential source of bias? Some of the population may not have access to other types of phones. The survey only reaches individuals who volunteer to be interviewed. The policy helps individuals understanding the wording of survey questions. Some individuals contacted may choose to not participate.
Answer:
The answer is A
Step-by-step explanation:
Some of the population may not have access to other types of phones.
The policy of conducting a portion of surveys on mobile phones helps address the source of bias wherein some people may not have access to other types of phones. By including mobile phones, pollsters can have a more representative sample, reflecting the population more accurately. However, this does not guarantee participation or comprehension of survey questions.
Explanation:The policy of political pollsters to conduct a percentage of their telephone interviews by calling mobile phones best addresses the source of bias that some of the population may not have access to other types of phones. This is reflective of a shift in communication behaviors wherein a significant percentage of the population exclusively uses mobile phones, especially among younger and middle-aged adults. This phenomenon could lead to a selection bias if only landline numbers were used, as the respondents would likely skew toward older individuals and those who are at home more often.
By integrating mobile phones in their survey methods, the pollsters are able to get a more representative sample that more accurately reflects the entire population. For instance, random-digit-dialing is a technique that allows pollsters to include respondents who have unlisted or mobile numbers. Similarly, geographically-based screenings can be employed to avoid regional bias.
However, it is important to note that including mobile phones in the survey does not address other kinds of bias. For instance, reaching out to potential respondents does not guarantee their participation, and it does not mean that the respondents would fully understand the wording of the survey questions. It only helps in achieving a more demographically reflective sample.
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Complete the statements to find the measurements of ∠a and ∠b .
Answer:
∠a=80
∠b=50
Step-by-step explanation:
∠a and 100 are on a straight line. Therefore they are supplementary, and add to 180 degrees. So, we can say that:
∠a+100=180
To solve, subtract 100 from both sides. This will leave ∠a by itself.
∠a +100-100=180-100
∠a=80
The angles in a triangle must add to 180 degrees. Therefore,
∠a + ∠b + 50= 180
We know ∠a is 80, so we can substitute that in
80+ ∠b +50 =180
∠b+80+50=180
Combine like terms
∠b+(80+50)=180
∠b+130=180
To solve, subtract 130 from both sides. This will leave ∠b by itself.
∠b+130-130=180-130
∠b=50
Answer:
∠a = 80° and ∠b = 50°
Step-by-step explanation:
Look at angle a. Angle a and 100 both lie on the same line, which means they are supplementary and add up to 180. Then we can write: m∠a + 100 = 180. To solve this for a, we simply subtract 100 from both sides:
m∠a = 80°
Now, look at the triangle. All the angles in a triangle add up to 180, so we have the equation: m∠b + 80 + 50 = 180. Solve for b by subtracting 80 and 50 from both sides: m∠b = 50°.
Thus, ∠a = 80° and ∠b = 50°.
All I need is the answer
Answer:
702
Step-by-step explanation:
Since the sales tax is 8%, David has to pay 0.08*650 extra for his cheese. 0.08*650=52, and adding this to the original price of $650 you get $702. Hope this helps!
Answer:
$702
Step-by-step explanation:
1.08 * 650 =
702
Find the sum of 10x^2-10x-6 and x+6.
Answer:
10x²−9x
Step-by-step explanation:
10x²−10x−6+x+6
=10x²−10x−6+x+6
Combine Like Terms:
=10x²−10x−6+x+6
=(10x²)+(−10x+x)+(−6+6)
=10x²−9x
Hope this helps!
The sum of the equations 10x^2 - 10x - 6 and x + 6 is achieved by combining like terms, which results in 10x^2 - 9x.
Explanation:To find the sum of 10x^2-10x-6 and x+6, you combine the like terms from each equations. You do this by adding the coefficients of like terms, which are terms with the same variable. In this case, the variable x is the like term. Let's do it step by step:
First, identify the like terms. In the expression 10x^2 - 10x - 6, 10x^2 is a term, -10x is a term, and -6 is a term. In the expression x + 6, x is a term and 6 is a term.Combine the terms that have similar variables. The coefficients of 10x^2 and x are 10 and 1 respectively. Since there's no like term for 10x^2, carry it as it is. The coefficients for -10x and x are -10 and 1. When you add these together, you get -9x (-10 + 1 = -9).Combine the constant terms -6 and 6. When you add these, you get 0 (-6 + 6 = 0).The sum of the two expressions 10x^2 - 10x - 6 and x + 6 therefore is 10x^2 - 9x.
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THIS NEEDS TO BE ANSWERED ASAP CHANCE FOR BRAINLIEST
Answer:
40
Step-by-step explanation:
At a sale, a table is being sold for 27% of the regular price. The sale price is $156.60.
What is the regular price?
Answer:
$580
Step-by-step explanation:
Original price = $156.60 / 0.27
Original price = $580
assume the ratio of hand to foot 7:9 . If an artist draws a person with hands 35 inches long how long should the feet be to maintain the correct proportions ?
Answer:
45
Step-by-step explanation:
7x5=35
9x5=45
Answer:
Artist should draw persons feet in ratio of; 45inches : hands 35inches
we can multiply 7 x 10 = 70 and see that 35 is half this.
This means 9 x 10 = 90 and see that 45 is half this.
Making the ratio 35:45
Step-by-step explanation:
A rectangular pyramid and rectangular prism have the same base area and the same
height. What is true of their volumes?
A)The volume of the pyramid is three times the volume of the prism.
B)The volume of the pyramid is 1/3 the volume of the prism.
C)The volumes are the same.
D)The volume of the pyramid is 1/3 the volume of the prism.
Answer:
B)The volume of the pyramid is 1/3 the volume of prism
Step-by-step explanation:
We are given that
Bases of rectangular pyramid and rectangular prism are same
Height of both rectangular pyramid and rectangular prism are same.
We know that
Volume of rectangular pyramid =[tex]\frac{1}{3}bh[/tex]
Where b=Area of base
Volume of rectangular prism=[tex]bh[/tex]
Where b=Area of base
Volume of rectangular pyramid=[tex]\frac{1}{3}[/tex] volume of rectangular prism
Hence, the volume of pyramid is 1/3 times the volume of volume of rectangular prism.
Option B is true.
answer
The volume of the pyramid is 1/3 the volume of the prism.
Step-by-step explanation:
-18x-17=-53
( Complete the steps:)
1. Write the original equation
2. Apply the Addition Property of Equality.
solve step by step
-18x-17=-53 /add 17 to both sides
-18x-17+17=-53+17
-18x=-36
x=(-36)/(-18)
x=2
The points (0, 6) and (12, 5) fall on a particular line. What is its equation in slope-intercept
form?
we can write the equation of the line in slope-intercept form:
[tex]y =[/tex][tex](-1/12)x + 6[/tex]
To find the equation of a line in slope-intercept form ([tex]y = mx + b[/tex]), we need to determine the slope (m) and the y-intercept (b).
Given two points (0, 6) and (12, 5), we can calculate the slope (m) using the formula:
[tex]m = (y2 - y1) / (x2 - x1)[/tex]
Using the coordinates (0, 6) and (12, 5):
[tex]m = (5 - 6) / (12 - 0)[/tex]
[tex]= -1 / 12[/tex]
Now that we have the slope (m), we can substitute it into the slope-intercept form equation:
[tex]y = mx + b[/tex]
Using the coordinates (0, 6):
[tex]6 = (-1/12)(0) + b[/tex]
6 = b
Therefore, the y-intercept (b) is 6.
A slope-intercept equation is a linear equation written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope (m) determines the steepness or direction of the line, while the y-intercept (b) is the point where the line intersects the y-axis. By using this equation, we can easily identify the relationship between the x and y coordinateson the line, making it convenient for graphing, understanding the line's behavior, and predicting the value of y for a given x.
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Last month, took Lucas 32 minutes to run 3 miles. This month is took him 28 minutes. Find the percent of change.
Answer:12.5%
Step-by-step explanation:
Percentage=(32-28)/32 x 100
Percentage=4/32 x 100
Percentage=(4x100)/32
Percentage=400/32
Percentage=12.5%
Determine if the set of ordered pairs represents a function. Explain why or why not. (2 points)
{(-4, 4), (-2, 2), (0, 0), (-3, -2)}
In order for a set of ordered pairs to be a function there can not be more than one x-value with a different y-value.
In this case, the set of ordered pairs: (-4, 4), (-2, 2), (0, 0), (-3, -2) is a function! There are no repeated x-values.
Hope this helped!
~Just a girl in love with Shawn Mendes
Boxes A and B contain some counters.is
8y + 1
counters
6y + 9
counters
Box A
Box B
The number of counters in each box is the same.
Work out the value of y
Answer: y=4
Step-by-step explanation:
8y+1=6y+9 -Because y is equal the equations are as well.
2y+1=9- Take 6y to the other side by -6y
2y=8-Take one over by -1
y=4-Divide 8 by 2 to get y=4
Answer:
The value of y is 4
Step-by-step explanation:
If the some of the counters in each box are the same, then A = B
If A is 8y + 1 and B is 6y + 9
Since A = B, we can say
8y + 1 = 6y + 9
Collecting like terms, we will have
8y - 6y = 9 - 1
2y = 8
Dividing both sides by 2, we will have
y = 8/2
y = 4
The formula for the volume of a cylinders to the formula forth
in both cases, you multiply the area of the base times the height
cylinder is related to the formula for the volume of a prim
The formula for the volume of a cylindesbe used to remember the form
e of a cylinder can be used to remember the formula for the
volume of a cone with the same radius and height and the volume of a spre
radius. The volume of a cone is the volume of the cylinder and the volume
is the volume of the cylinder
and height and the volume of a sphere with the same
lume of the cylinder and the volume of the sphere
Volume of a cylinder - Area of the base height
(mr)
T
'h
Volume of a cone
area of the base height
volume of a sphere - 1.
The height of
hall sphere is
another radius
sh
Reflect
1 How can you use the formula for the volume of a prism to remember the formula for the
volume of a cylinder? How is the formula for the volume of a cone related to the formula
for the volume of a cylinder?
indert. Cones, and she
Problems with
Answer:
Step-by-step explanation:
To use the formula for the volume of a prism to remember the formula for the volume of a cylinder, you can think of a cylinder as a prism with circular bases. The formula for the volume of a prism is given by multiplying the base area by the height. In the case of a cylinder, the base area is the area of a circle, which is πr² (where r is the radius), and the height is the height of the cylinder. Therefore, the formula for the volume of a cylinder becomes V = πr²h.
The formula for the volume of a cone is related to the formula for the volume of a cylinder because a cone can be thought of as a pyramid with a circular base. The formula for the volume of a cone is given by multiplying the base area (which is a circle) by the height and dividing by 3. Since the base area of a cone is πr² (where r is the radius), and the height of the cone is h, the formula for the volume of a cone becomes V = (1/3)πr²h. The volume of a cone is exactly one-third of the volume of a cylinder with the same base area and height.
It's important to note that the formulas for the volume of a cylinder, cone, and sphere are derived based on their geometric shapes and properties. Understanding these relationships and connections can help in remembering and applying the formulas correctly in problem-solving situations.
To remember the formula for the volume of a cylinder, think of it as a prism with circular bases. The formula is the area of the base times the height. The volume of a cone with the same radius and height is one-third of the volume of the cylinder.
Explanation:To use the formula for the volume of a prism to remember the formula for the volume of a cylinder, you can think of a cylinder as a prism with circular bases. The formula for the volume of a prism is the area of the base times the height. Since the bases of a cylinder are circles, the formula becomes the area of the base (πr²) times the height (h). The formula for the volume of a cylinder is related to the formula for the volume of a cone because if you take a cone with the same radius and height as a cylinder, the volume of the cone will be one-third of the volume of the cylinder (Vcone = 1/3 * Vcylinder).
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