Answer:
283cm³
Step-by-step explanation:
The linear scale factor= Height of larger/Height of smaller cylinder.
=8cm/4cm=2
VOLUME scale factor = linear scale factor³
=2³=8
Therefore we divide the volume of the larger cylinder by the volume scale factor.
volume of small cylinder=2264cm³÷8
=283cm³
Answer: first option.
Step-by-step explanation:
You know that the height of the smaller cylinder is 4 cm and the height of the larger cylinder is 8 cm, then you can find the volume ratio. This is:
[tex]Volume\ ratio=(\frac{4\ cm}{8\ cm})^3\\\\Volume\ ratio=\frac{1}{8}[/tex]
Knowing that the volume of the larger cylinder is 2,264 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.
Therefore:
[tex]V_{smaller}=\frac{1}{8}(2264\ cm^3)\\\\V_{smaller}=283\ cm^3[/tex]
In the number 409.21 what digit is in the ones place
Answer: The number before the decimal
Step-by-step explanation:
The digit in the ones place is 9, in the given number 409.21.
What is the place value?There are only 10 digits in the number system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The digits in a number have values depending on their place. Those values are called place values. According to the number system, the place values are ones, tens, hundreds, thousands, and so on. For a decimal number, after the decimal point, the place values are tenths, hundredths, thousands, and so on.A number is obtained by adding the product of digits with their place values.Expanding the given number according to place values:The given number is 409.21
⇒ 400 + 00 + 9 + 2×(1/10) + 1×(1/100)
⇒ 4×100 + 0×10 + 9×1 + 2×(1/10) + 1×(1/100)
So, the digit in ones place is 9.
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(02.03)Tony bought 3 tickets to a concert for $78. How much will it cost for 6 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:
Number of Tickets 3 4 5 6
Cost $78 $104 $130 ?
Answer:
26$ Per ticket
missing number is 156$
Step-by-step explanation:
Find how much each ticket is by dividing 78 by 3 which is 26 the multiply 26 and 6 to find the missing number hope this helped :)
Answer:
The value of one ticket is 26 dollars, so for 6 tickets would be 156 dollars...
Step-by-step explanation:
$78 ÷ 3 tickets = $26
$26 × 6 tickets
= $156 for 6 tickets.
If f(x) = 5x + 40, what is f(x) when x = -5?
use the substitution method
f(x)= 5x+40
f(-5)= 5(-5)+40
f(-5)= -25+40
f(-5)= 15
Answer is f(-5)= 15
Answer this question thanks
First divide 6 to both sides to isolate q. Since 6 is being multiplied by q, division (the opposite of multiplication) will cancel 6 out (in this case it will make 6 one) from the right side and bring it over to the left side.
18 ≥ 6q
18 ÷ 6 ≥ 6q ÷ 6
3 ≥ 1q
3 ≥ q
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
3 ≥ q OR q ≤ 3
aka 3 is greater then q OR q is less then 3
This means that the graph will have an colored circle and the arrow will go to the left of 3. Look at image below.
Hope this helped!
~Just a girl in love with Shawn Mendes
VIP at (-2,7) dropped her pass and moved to the right on a slope of -9 Where can you catch up to her to return her VIP pass
Check the picture below.
Answer:
-1,-2
Step-by-step explanation:
If you are doing this for FLVS and this helped make me the brainlist
how to solve a system of three equations using the elimination method
Answer:
1. Write all the equations in standard form, leaving out decimals or fractions.
2. Select the variables to be eliminated; And then you take two of these equations, and you eliminate the variables.
3. Select a different set of two equations and eliminate the same variables as in step 2.
4. Solve two equations containing two variables from steps 2 and 3.
5. Substitute the answer to step 4 into any equation that contains the remaining variables.
6. Check the solution with three original equations.
To solve a system of three equations using the elimination method, pair up the equations, eliminate a variable from each pair, solve for the remaining variable and substitute this value into other equations to find the values of other variables.
Explanation:To solve a system of three equations using the elimination method, the process involves eliminating one variable at a time to eventually have one equation with one variable left, which you can then solve.
Pair up the equations. You can pair the first and second equation together, and then pair the second and third equation together. Eliminate one variable from each pair. This can be done by adding or subtracting the equations. For instance, if you have these equations: Qd = 16 - 2P, and Qs = 2 + 5P, subtracting the second equation from the first gives you Qd - Qs = 14 - 7P, thus eliminating the P variable. Solve for the remaining variable. This usually involves rearranging the equation and solving for the variable in question. Once you obtain the value for one variable, substitute this value into the other equations so as to solve for the other two variables. Learn more about Solving Systems of Equations here:
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NEED TO KNOW IMMEDIATELY the Revenue each season from tickets at the theme part is represented by t(x) = 3x the cost to pay the employees each season is represented by r(x) = (1.25)^x examine the graph of the combined function for total profit and estimate after five seasons
Answer:
r(5)=3.05 t(5)=15
Step-by-step explanation:
x=5
r(5)=(1.25)^5
r(5)=3.05
t(5)=3(5)
t(5)=15
Compare the graph of f (x) with the graph of k (x) = 2 (x-8)2
The graph of k(x)=2(x-8)², a quadratic function, will be an upwards-opening parabola with a vertex at (8,0). To compare it with the graph of f(x), we need more details about f(x), which could be linear, quadratic, or a different type of function entirely. The comparison can focus on attributes like shape, orientation, position, steepness, continuity, differentiability, or periodicity.
Explanation:The function k (x) = 2 (x-8)² is a quadratic function where 2 is the coefficient, and 8 is the amount that the graph is shifted to the right in the x coordinate. This graph will be a parabola that opens upwards, with a vertex at the point (8,0) due to the transformation in the x term (x-8).
To compare the graph of f(x) with the graph of k(x), we first need to understand the characteristics of f(x). For example, if f(x) is also a quadratic function, we can compare their shapes, orientations (upward or downward opening), positions (based on vertex and line of symmetry), and steepness (determined by the absolute value of the coefficient -- in this case, 2).
If f(x) is a linear function, it will be a straight line and we can compare the orientation, steepness (slope), and position (y-intercept). Or if f(x) is a different type of function entirely, the comparison will focus more generally on attributes like continuity, differentiability, periodicity, etc. Therefore, without additional details about f(x), a complete comparison isn't possible.
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Write the equation of a line that goes through point (0, 1) and has a slope of 0.
Answer:
Equation of this line is y = 1
Step-by-step explanation:
We have to write an equation of a line passing through (0,1) and slope 0.
Standard equation of a line in slope form is y = mx + c
Where m = slope and c = y intercept.
Since m = 0
so y = c is the equation.
This line passes through (0,1)
so equation will be Y = 1
Equation of this line is y = 1
Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, the answer is 9/4.
Explanation:To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 1/3 is 3/1. So, we have:
3/4 ÷ 1/3 = 3/4 * 3/1 = 9/4.
The answer, 9/4, cannot be further reduced to lowest terms since 9 and 4 do not have any common factors other than 1.
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Sam cut a pizza into 6 equal sizes slices. What is the measure of the angle formed by one of the pieces
Answer: 60
Step-by-step explanation:
A circle is 360 degrees, so 360/6 is your answer.
Find the length of segment AC if AB is 7, BC is 12 and B is between a A and C
Step-by-step explanation:
If the B is the middle of the segment AC,
AC= AB+BC
AC=7+12= 19.
If I'm wrong, correct me please. I would be pleased.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Complete the proof. Below is a drag and drop geometric proof. Complete the proof in your notebook. Choose from these possible answers: Given YZ UV
Step-by-step explanation:
∠YXZ and ∠VXU are vertical angles, and therefore are congruent.
∠YXZ ≅ ∠VXU, Vertical ∠'s ≅
Next, we're given that lines YZ and UV are parallel. That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.
∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅
If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.
△XYZ ~ △XUV, AA
Since the triangles are similar, then by definition, their sides are proportional.
XY/XU = YZ/UV, Definition of Similar Polygons
YZ || UV - Given
YXZ = VXU - Vertical triangles =
YZV = UVZ - If lines ||, alternate internal triangles =
XYZ ~ XUV - AA
XY/XU = YZ/UV - Definition of Similar Polygons
Simplify the radical expression 5/64
Answer:
40
Step-by-step explanation:
5√64 = 5 x 8 = 40
Answer:
√5
==
8
or
Sqrt5
over
8
Step-by-step explanation:
Using the prime factor method, find the lowest common multiple of 20 and 12.
Answer:
lcm = 4
Step-by-step explanation:
20 = 2 × 2 × 5 ← product of prime factors
12 = 2 × 2 × 3 ← product of prime factors
The lowest common multiple (lcm) = 2 × 2 × 5 × 3 = 60
Answer:
60
Step-by-step explanation:
First, break down each of the numbers into their prime factors.
20 = 2² x 5
12 = 2² x 3
To find the LCM, underline each of the prime numbers. If there is a repeated prime number, underline the one with the largest possible value. For example, if there is 3² and 3³, underline the second one. In this case, the values are the same, so just underline one.
20 = 2² x 5
12 = 2² x 3
Next, multiply all the underlined numbers.
LCM (20, 12) = 2² x 5 x 3 = 60
What is the equation for a geometric sequence with a first term of 5 and a second term of −10?
an = 5(−2)n − 1
an = 5(2)n − 1
an = 5(−15)n − 1
an = 5(15)n − 1
Answer: A is correct, an = 5(−2)n − 1
Step-by-step explanation:
The formula for geometric sequences is an=a(r)^n-1
a is the first term, which is 5 in this case
r is the common ratio, which is -2 because (5)(-2)=-10
What is the sum of the polynomials 6a²-17a-9 and -5a²+8a-2?
A) a²-9a-11
B) a²-25a-7
C) 11a²-9a-11
D) 11a²-25a-7
Answer:
Choice A) a² - 9a - 11.
Step-by-step explanation:
Separate the terms by the power of the variable, [tex]a[/tex].
Terms with power 2 on [tex]a[/tex]:
First equation: 6a²;Second equation: -5a².Terms with power 1 on [tex]a[/tex]:
First equation: -17a;Second equation: 8a.Terms with power 0 on [tex]a[/tex], which are also known as constant terms:
First equation: [tex]-9[/tex]; Second equation: [tex]-2[/tex].Apply the distributive property of multiplication in reverse. In other words, factor out terms with the same power and add the coefficients.
Terms with power 2 on [tex]a[/tex]:
[tex]6a^{2} + (-5a^{2}) = (6 + (-5))a^{2} = a^{2}[/tex].
Terms with power 1 on [tex]a[/tex]:
[tex]-17 a + 8a = ((-17) + 8)a = -9a[/tex].
Constant terms:
[tex](-9) + (-2) = -11[/tex].
Add the sum of the individual terms to find the sum of the two polynomials:
[tex]a^{2} + (- 9a) +(- 11) = a^{2}-9a -11[/tex].
Which of the following numbers has the greatest value?
A) .1
B) .47
C) .049
D) .192
E) .0864
Answer: B) .47
Step-by-step explanation: As all of those numbers have a decimal with no whole number, we look past the decimal. Then you realize 4 is greater than 1, 0, 1 and 0. You ignore the numbers past it and read it from left to right all the time.
The greatest value is 0.47. Then the correct option is B.
What is the greatest value?Let the number will be a, b, c, d, and e.
If the value of the arbitrary constant d has a maximum value then the greatest value will be of d.
The numbers are given below.
0.1, 0.47, 0.049, 0.192, and 0.0864.
Then the greatest value is 0.47.
Then the correct option is B.
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You work in a hospital that has 9 floors. You need to see 3 patients on each floor. How many patients do you need to see in all?
Answer:
The answer is 27 patients.
Step-by-step explanation:
There are 3 patients per floor. There are 9 floors.
3 x 9 = 27
There are 27 patients in all.
I hope this helped! :)
Find the product. -2 xa (-4 xb - 2 x 3 + 5 x )
Answer:
[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]
Step-by-step explanation:
We need to find the product of: [tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex]
We have that:
[tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex] = [tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]
We can't simplify more the expression, therefore, the solution is:
[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex].
If you are solving the equation by factoring, which of the following equations would you use the zero product property on? (x - 5)(x + 4) = 0 (x - 5)(x - 10) = 0 (x + 5)(x + 10) = 0
Equations would you use the zero product property on is (x-5)(x-10)=0
What is Zero product property?The zero product property states that if a⋅b=0 then either a or b equal zero.
To get the positive value we have consider those factor which have negative in their expression.
As, by the property if we equate both of them equal to zero one by one then we get the desired value.
(x-5)(x-10)= 0
if x-5=0
x=5
and if, x-10=0
x=10
Hence, equations would you use the zero product property on is (x-5)(x-10).
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A stock loses 10% of its value on Monday. On Tuesday it loses 20% of the value it had at the end of the day on Monday. What is the overall percent loss in value from the beginning of Monday to the end of Tuesday?
Answer: The overall percent loss is 28%.
Step-by-step explanation: Given that a stock loses 10% of its value on Monday and on Tuesday it loses 20% of the value it had at the end of the day on Monday.
We are to find the overall percent loss in value from the beginning of Monday to the end of Tuesday.
Let x represents the value of a stock at the beginning of Monday.
Then, the value of the stock at the end of Monday is given by
[tex]x-10\%\times x=x-\dfrac{10}{100}x=x-\dfrac{x}{10}=\dfrac{9}{10}x.[/tex]
So, the value of the stock at the beginning of Tuesday is [tex]\dfrac{9}{10}x.[/tex]
Therefore, the value of the stock at the end of Tuesday is given by
[tex]\dfrac{9}{10}x-20\%\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}x-\dfrac{20}{100}\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}-\dfrac{9}{50}x\\\\\\=\dfrac{36}{50}x\\\\\\=\dfrac{18}{25}x\\\\\\=x-\dfrac{7}{25}x\\\\\\=x-\dfrac{28}{100}x\\\\\\=x-28\%x.[/tex]
Thus, the overall percent loss is 28%.
What is the measure of each of the two angles formed by the bisector of the diagonal of a rhombus if the original angle measures 58 degrees?
Answer: 29 degrees is the answer
Step-by-step explanation:
The bisector is the line that divides the angle, and rhombus diagonally. So, basically you're just dividing 58 in half. Which is 29 degrees.
The measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
A Rhombus with one of its angle equal to 58°.
Now,
Bisector of an angle, divides an angle into two equal parts.
So,
From the above mentioned definition,
i.e.
[tex]=\frac{58}{2} = 29^0[/tex]
So, the measure of each angle is 29°.
Hence, we can say that the measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.
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ACUVIL
1) Which of the following could be the
lengths of the sides of a triangle?
B) 13, 14, 32
A) 33, 22, 55
D) 11, 15, 27
C) 16, 19, 34
Answer:
A:33,22,55
Step-by-step explanation:
What equation best represents the following sentence?
The sum of a number and two is twice the number.
n +2 = 2n
n + 2 = 2n
n +2=n
2n = n
Answer: n + 2 = 2n
Step-by-step explanation:
sum = add
number and two = n, 2
twice the number = 2 x n
Answer: n + 2 = 2n
Step-by-step explanation:
the quotient of 1 and 2/3 divided by 4/5
Answer:
[tex]\frac{15}{8}[/tex]
Step-by-step explanation:
"the quotient of 1 and 2/3 " expressed mathematically is,
1 ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{2}[/tex]
"divided by 4/5"
[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{4}{5}[/tex]
=[tex]\frac{3}{2}[/tex] x [tex]\frac{5}{4}[/tex]
= [tex]\frac{15}{8}[/tex]
What is the slope of the linear function y = 7?
The slope is 0. y = 7 makes a horizontal line, therefore there is no rise only a run.
Remember: If it creates a horizontal line the slope is zero
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the vertex of x^2 -10x + 21
Answer:
(5, - 4)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
x² - 10x + 21 ← is in standard form
with a = 1, b = - 10, so
[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the quadratic for the corresponding value of y
y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4
vertex = (5, - 4)
When converting from inches to feet , the measurement in inches,m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12. What is the equation relating these two quantities?
Answer:
m = 12f
Or
m/12 = f
Step-by-step explanation:
The conversion from inches to feet involves a constant factor of variation which is 12. Inches is a smaller unit while feet are obtained by dividing the inches with 12.
As we know,
1 foot = 12 inches
Given in the question:
m = measurement in inches
and
f= measurement in feet
Hence the equation will be:
m = 12f
Or
m/12 = f ..
Helen recorded the number of tomatoes on each of her tomato plants and then arranged the numbers from smallest to largest.
The number of tomatoes on each plant were 5, 5, 5, 6, 9, 10, 10,10, 10, and 10. The mean number of tomatoes was 8.
What is the mean absolute deviation?
0.0
2.0
2.2
4.4
Answer:The last experimental design is the best of the options: 'Compare the average number of
tomatoes that are produced by 10 tomato plants that are grown in clay soil to
the average number of tomatoes that are produced by 10 tomato plants that are
grown in sandy soil''.
The first two experimental designs measure the growth of
tomato plants, which is not necessarily related to the yield of tomatoes. The
third experimental design compares the tomato yield of the two
soils with only one plant grown in each soil. Obviously, the result obtained
from this experiment would be statistically weak. The last experimental design
compares tomato yield and also uses a larger number of plants in each soil
type, so the results obtained would be of slightly greater statistical
significance.
Step-by-step explanation:
The mean absolute deviation is M = 2.2
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the total number of plants be n
Now , the value of n = 10
And , the number of tomatoes on each plant is given by set A
Now , the value of set A = { 5 , 5 , 5 , 6 , 9 , 10 , 10 , 10 , 10 , 10 }
So , the total number of tomatoes = 5 + 5 + 5 + 6 + 9 + 10 + 10 + 10 + 10 + 10
The total number of tomatoes = 80 tomatoes
Now , the mean number of tomatoes = 80 / 10 = 8
And , the mean deviation is M
where M = 1/10 [ ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 5 ) + ( 8 - 6 ) + | ( 8 - 9 ) | + 5( 10 - 8 )
M = ( 1/10 ) [ 3 + 3 + 3 + 2 + 1 + 5 ( 2 ) ]
M = ( 1/10 ) [ 22 ]
M = 2.2
Therefore , the value of M is 2.2
Hence , the mean deviation is 2.2
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