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Answers
Step-by-step explanation:
So, Start with the formula
V= pi ×R² × H
V= pi × 9² × 2
V= pi × 81 × 2
V = 162 pi in³
Then ×2 = 342 in³
required volume =162π or 508.94or 509in³
Answer:
solution given:
radius (r)=9in
height(h)=2 in
we have
volume [V]=πr²h=π×9²×2=162π or 508.94in³
Related Questions
In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4
Answers
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
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find the value of x
[tex]x[/tex]
Answers
70°
Step-by-step explanation:
because AB//CD value of x is :
x = 30° + 40°
x = 70°
In slope intercept form y=mx+b, the y-intercept is located at (0,b).
a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?
b. How are the slope-intercept and the point-slope forms related?
a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap
Answers
Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
a) y-b=m(x-0)
b) (x1, y1) , point-slope, y, slope-intercept
Explanation
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answers
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.
Answers
Answer: its the same amount
Step-by-step explanation:
Town B is 8 miles north and 17 miles west of town A. How far are
the two towns apart?
Answers
9514 1404 393
Answer:
18.8 mi
Step-by-step explanation:
The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.
d² = 8² +17² = 64 +289 = 353
d = √353 ≈ 18.8 . . . miles
The two towns are about 18.8 miles apart.
Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?
Answers
Answer:
45
Step-by-step explanation:
78
that passes through the
What is the point-slope form of the line with slopez
point (-4, – 7)?
y - 4 = } (x – 7)
—
Oy - 7 = 3 (x – 4)
Oy+7= } (x+4)
Oy+4= } (x+7)
It’s question 5
Answers
Answer:
answer 3
Step-by-step explanation:
point slope form is
[tex]y - y1 = m(x - x1)[/tex]
14,406 minus negative
627
Answers
Answer:
15033
Step-by-step explanation:
14,406 -(-627)
Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table
Answers
Answer:
lu have to ask mss v for the question
Me.Ramirez divid 12 frogs
Answers
Answer: my last names Ramirez!
Step-by-step explanation:
What is the value of n?
n/73=8.76
Answers
Answer:
n=639.48
Step-by-step explanation:
Answer:
639.48
Step-by-step explanation:
Write 47/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
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5(t-9) +12t=20
3(6m-17),m=5
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Solving:
5(t - 9) + 12
5(20 - 9) + 12
100 - 45 + 12
55 + 12
67
3(6m - 17)
3(6*5 - 17)
3(30 - 17)
90 - 51
39
See photo please help
Answers
Answer:
2/3 is right one . option no B
Liam's mom was getting ready to make dinner and
found she was out of potatoes for her famous
smashed potatoes. Liam volunteered to go to the
store and get potatoes for his mom. He spent $11.52
for 12 pounds of potatoes. How much did he spend
per pound?
Answers
Answer:
$0.96
Step-by-step explanation:
Take your cost and divide it by your amount.
$11.52/12 = 0.96
Elisa owns 28% of the Grudman Corporation. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?
Answers
Answer:
12%
Step-by-step explanation:
each shares 12% because 100-28=72
72÷6=12%
-48 divided by what equals 6
Answers
Answer: the answer is -8
Step-by-step explanation:
Rewrite the fraction 1/6 as a division expression with the same numbers.
Answers
9514 1404 393
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is a division expression. It means "one divided by six."
The slash (/) can be replaced by the "divided by" symbol (÷), if you like.
1/6 = 1 ÷ 6 . . . . means "one divided by six"
Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
Answers
Answer:
D
Step-by-step explanation:
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment
The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
It should be noted that a credit card company typically extends a line of credit to an individual. Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.In conclusion, the correct option is D.
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What is the absolute value function?
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
PLEASE HELP PLEASE PLEASE PLEASE
Answers
Answer:
c
Step-by-step explanation:
The absolute value function would be;
b. y= -7 |x - 8| +4
Given that;
The functions are,
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).
In the given options, the equation that represents the absolute value function is:
b. y = -7 |x - 8| + 4
This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).
As x approaches 8 from the left, the value of y decreases.
As x moves away from 8 towards positive or negative infinity, the value of y increases.
Therefore, the correct option is (b).
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Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?
Answers
Answer:
$56
Step-by-step explanation:
cost of 8 packages of clay = $ 32
cost of 1 package of clay = 32 / 8 = $4
cost of 14 packages = 14*4 = $ 56
Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.
A(1,1)
B(3,1)
C(2,3)
Answers
Step-by-step explanation:
Dilation :
the scale factor is 3 and the center of dilation is the origin.
A(1,1) => A'(3, 3)
B(3,1) => B'(9, 3)
C(2,3) => C'(6,9)
The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
What is a transformation?On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.
As per the given question,
We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.
A(1,1) → A'(3, 3)
B(3,1)→ B'(9, 3)
C(2,3) → C'(6,9)
Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
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Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70
Answers
Answer:
given m<4 = 35° and m<1 = m<2 + m<4
prove m<3 = 70°
Statements Reasons
m<4 = 35° given
m<1 = m<2 + m<4 given
m<2 = m<4 by the vertical angles theorem
35° = 35° substitution property of equality
m<2 + m<4 = m<1 angle addition postulate
35° + 35° = 70° substitution property of equality
m<3 = m<1 by the vertical angles theorem
m<3 = 70° substitution property of equality
The two column proof for the given set of angles are:
m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
Given data:
The measure of angle
The measure of angle m∠4 =35,
The measure of angle m∠1= m∠2 + m∠4.
Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Therefore, m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
35° + 35° = 70° substitution property of equality
Hence, the measure of angle m∠3 = 70°
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What is the equation of the line shown on the graph?
A y=x
B y=4x
C Y= -x
D Y =1/4 X
Answers
Take two points from the graph and solve for the slope:
Let (x1, y1) = (2, 8)
(x2, y2) = (4, 16)
substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (16 - 8) / (4 - 2)
m = 8/2
m = 4
Therefore, the slope is 4.
The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at the graph, the line crosses at the point of origin, (0, 0). Therefore, the y-intercept, b = 0.
The correct answer is option B) y = 4x.
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Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answers
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
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Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
Answers
2y = 14x + 12 (add 14x to both sides)
y = 7x + 6 (divide all by 2 so we just have y and not 2y)
Parallel means it has the same slope but different intercept. So we need to know which intercept allows us to have a slope of 7 but go through the point (1, 16).
y = 7x + b
16 = 7(1) + b (substitute x & y)
16 = 7 + b (simplify)
9 = b (subtract 7 on both sides)
So the intercept is 9. So the equation of the parallel line would be y = 7x + 9.
And that answer is parallel to the original line y = 7x + 6; the whole line is shifted upwards by 3 units.
What is the value of
-3x+2y-x
When x = -1 and y = 5
Answers
here is my work
Hopes it helps
What is the value of x? show all your work
Answers
Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
NO LINKS OR ASSESSMENT!!!
Part 6: Write a rule to describe each transformation.
Answers
Answer:
(x, y) → (x, y - 3)Step-by-step explanation:
We observe a vertical shift.
The shift is negative by 3 units.
The rule for this translation is:
(x, y) → (x, y - 3)