It can be express as follows: v = π(2x³- 5x²- 24x + 63) cubic unit
The volume of a cylinder is given as follows
volume = πr²h
where
h = height
r = base radius
Therefore,
r = x - 3
h = 2x + 7
Therefore,
The volume can be express as follows
v = π × (x-3)² × (2x + 7)
v = π × x² - 6x + 9 ×(2x + 7)
v = π × 2x³- 12x² + 18x + 7x² - 42x + 63
v = π × 2x³- 5x²- 24x + 63
v = π(2x³- 5x²- 24x + 63) cubic unit
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A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
Answer:
$11
Step-by-step explanation:
20-9=11
If s = 1 over 3 unit and A = 54s2, what is the value of A, in square units? ____ square units. (Input whole number only.)
The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son age is s years, which equation models this situation?
a. (s+3)+[(7s-2)+3}=52
b. 3s+3+3(7s-2)= 52
c. s+(7s-2)=52
d. (s-3)+(7s-2)-3=52
In the diagram a || b. Use the diagram to answer the question. (Diagram not to scale.) Name the interior angle to 7
A. 1
B. 2
C. 6
D. 4
Jessica has $4 left in her pocket. She spent $7 on a ticket to a baseball game, $2 on a hot dog, and $11 on a hat. How much money did she have at the beginning of the day?
Answer:
Money Jessica had at the beginning of the day was:
$24
Step-by-step explanation:
Let Jessica had $x in the beginning of the day.
She spent $7 on a ticket to a baseball game, $2 on a hot dog, and $11 on a hat and left with $4
⇒ x=7+2+11+4
⇒ x=24
Hence, money Jessica had at the beginning of the day was:
$24
Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)
x=
Judi is 9 years older than Baz.Baz is twice as old as Caleb.All their ages add up to 64.What are their ages?
Caleb is 11 years old, Baz is 22 years old, and Judi is 31 years old, which adds up to 64 years in total.
If Caleb's age is C, then Baz, being twice as old, is 2C. Judi is 9 years older than Baz, so her age is 2C + 9.
C + 2C + 2C + 9 = 64
5C + 9 = 64
Subtracting 9 from both sides gives:
5C = 55
C= 11
if you pay $26.50 for an item, including 6% sales tax, what was the original price?
A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in feet is given by the polynomial −16t^2 + 91t + 42, where t is the time in seconds. How high will the rocket be after 3 seconds? HELP ASAP!!
A. 122 feetB. 218 feetC. 93 feetD. 2570 feet
The height of the rocket after 3 seconds is 171 feet.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The height = -16t² + 91t + 42
After 3 sec means, t = 3, so we substitute t with 3
In order to find the height of the rocket after t seconds we plugin t = 3 in the function.
height H = -16t² + 91t + 42
H = -16(3)² + 91(3) + 42
= -144 + 273 + 42
= 171 feet
Thus, the height of the rocket after 3 seconds = 171 feet.
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Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon?
Final answer:
Carolyn would use a ruler to measure the length of the piece of ribbon.
Explanation:
To measure the length of a piece of ribbon, Carolyn would use a ruler as the instrument. A ruler is a tool used for measuring small items and distances. It is commonly used for measuring in inches, which is the appropriate unit for short lengths like a piece of ribbon. Carolyn can align one end of the ribbon with the zero mark on the ruler and then extend the ribbon along the ruler to measure its length accurately.
The ruler's precision in measuring small distances, typically in inches, allows Carolyn to obtain a detailed and accurate measurement for the ribbon's length. Aligning the ribbon's end with the ruler's zero mark ensures a standardized starting point for consistency in measurements. This straightforward method showcases the practicality and ease with which rulers facilitate precise length measurements, making them essential tools for tasks requiring accuracy in determining dimensions.
Are the two triangles congruent?
How much will it cost to mail a first-class letter that weighs 3.7 oz? The rate is $.22 for the first ounce and $.17 for each additional ounce or fraction of an ounce. a. $.81 b. $.73 c. $.63 d. $.07
Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n
WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!! PLEASE HELP ME!!!!!!
A specialty ice cream manufacturer collected data for the number of ice creams sold each day and the temperature on that day. The data was displayed in the following table.
Ice Creams Sold - 34, 39, 40, 36, 46, 47, 54, 27, 31, 56
Temperature (in °F) - 71.0, 73.8, 74.9, 71.4, 75.0, 76.9, 79.4, 68.6, 70.0, 81.4
What is the best interpretation of the correlation coefficient between the temperature and the number of ice creams sold?
* Because the correlation coefficient is close to -1, the ice cream sales decrease markedly with a rise in temperature.
* Because the correlation coefficient is close to 1, the ice cream sales increase markedly with a rise in temperature.
* Because the correlation coefficient is close to 1, the ice cream sales increase vaguely with a rise in temperature.
* Because the correlation coefficient is close to 0, the ice cream sales decrease vaguely with a rise in temperature.
A photographer enlarges a photo by using a scale of 5. The length of the original photo is 7 in. What is the length of the enlarged photo? Enter your answer in the box.
Answer:
35
Step-by-step explanation:
35
equation that passes through the points (-1,0)(0,2)
(4 + y = 19) what is y
Convert 1/ 3 to a fraction with denominator of 9
[tex]\frac{1}{9}[/tex] is the new fraction after converting or expanding the given fraction [tex]\frac{1}{3}[/tex] with the denominator 9.
Expanding a fraction:Expanding a fraction means making it "bigger".
How we expand a fraction?We can expand a fraction by multiplying the numerator and denominator with the same number.
According to the given question we have a fraction [tex]\frac{1}{3}[/tex].
Since, we have to convert or expand the given fraction with the denominator 9.
We know that 3× 3 = 9.
So, multiply the numerator and the denominator of the given fraction by 3.
⇒ [tex]\frac{(1 )(3)}{(3)(3)} = \frac{1}{9}[/tex]
Hence, we have converted or expanded the fraction [tex]\frac{1}{3}[/tex] with the denominator of 9.
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What is the definition of a circle?
A circle is a set of all points that are the same distance form a fixed point called the center.
A circle is the set of all points in a plane that are the same distance from a fixed point called the center.
A circle is the distance from a set of points to a fixed point called the center.
A circle is the set of all points in a plane that are a given distance from a given line.
Answer:
A circle is the set of all points in a plane that are the same distance from a fixed point called the center.
Step-by-step explanation:
see picture
Circle can be defined as a set of all points in a plane that are the same distance from a fixed point called the center.
What is a circle?A circle has defined the set of all points in a plane that are the same distance from a fixed point called the center. The circle is a 2D shape.
In geometry, the circle is defined as the closed 2-dimensional curved shape. The distance from between the center of the circle to any point on the circle is known as the radius of the circle.
As we have discussed the definition of a circle, therefore, the correct option is 'A circle is the set of all points in a plane that are the same distance from a fixed point called the center.'
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which of the following choices describe the bases of a cylinder? check all that apply.
a. discs
b. parallel
c. similar
d. congruent
Answer:
all apply
Step-by-step explanation:
All of the given descriptors apply. The bases of a cylinder are congruent parallel discs. Congruent figures are also similar.
Answer:
a,b,d
Step-by-step explanation:
If p(q-r)x^2 +q(r-p)x + r(p-q) has equal roots,then, 2/q=??
a)p+ 1/r c)p+r
b) 1/p +r d) 1/p + 1/r
Jake carries a green and yellow and a black guitar pick in his pocket he randomly chooses a guitar pick from his pocket before every concert what is the probability will he select the same color pic for two concert in a row?
Answer:
[tex]\bf\textbf{The required probability = }\frac{4}{9}[/tex]
Step-by-step explanation:
The total number of ways that he can pick a pic are 3 × 3 × 3 = 27 ways
If Jake selects the black pic in the first concert, then number of ways of success are :
B B G
B B Y
B G G
B Y Y
Total number of success = 4
If Jake selects the green pic in the first concert, then number of ways of success are :
G G B
G G Y
G B B
G Y Y
Total number of success = 4
If Jake selects the yellow pic in the first concert, then number of ways of success are :
Y Y B
Y Y G
Y B B
Y G G
Total number of success = 4
Therefore, in all the three cases total number of successes are :
4 + 4 + 4 = 12
[tex]Probability = \frac{\text{Number of successful ways}}{\text{Total number of ways}}\\\\\implies Probability = \frac{12}{27}=\frac{4}{9}[/tex]
[tex]\bf\textbf{Hence, The required probability = }\frac{4}{9}[/tex]
Answer:
For the people coming for the iready question answer, the answer is 1/3 lol
Step-by-step explanation:
Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture
Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24
Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720
Part 4.] How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4)
Part 5.] What is the probability of having 3 children that are all boys?
A.] [tex] \frac{1}{2} [/tex]
B.] [tex] \frac{1}{8} [/tex]
C.] [tex] \frac{3}{8} [/tex]
helppppppppppppppppppppppppppppppppp
Carly has 5 times as many markers as camden.Toegether they have 30 markers.How many markers does Carly have? How many markers does Camden have
Answer:
number of markers Camden has = [tex]5[/tex]
number of markers Carly has = [tex] 25[/tex]
Step-by-step explanation:
Let the number of markers Camden has = x
now it is given that Carly has 5 times as many markers as Camden has
Number of markers Carly has = 5 ( number of markers Camden has )
= [tex]5x[/tex]
now the total number of markers = 30
number of markers with Carly + number of markers with Camden = 30
so we have
[tex]5x+x = 30[/tex]
[tex]6x =30[/tex] ( adding like terms x and 5x)
[tex]x=\frac{30}{6}[/tex] ( dividing both sides by 6)
[tex]x= 5[/tex]
hence we have
number of markers Camden has = [tex]x=5[/tex]
number of markers Carly has = [tex]5x= 5(5) = 25[/tex]
If two figures are congruent, their perimeters are equal true or false?
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points) Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent? (4 points
the complete question in the attached figure
part A
the x intercept 0 is the point where the ball was hit, the x intercept 20 is the point where the ball fell back to the ground, 20 feet away from the kicker.
the function is increasing in the interval x∈(0, 10) and decreasing in x∈(10, 20)
this means that the height is increasing in the interval (0, 10) and decreasing as x goes through the interval (10,20)
the distance from the kicker is increasing during the whole interval (0, 20)
part B
the rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases or increases in the interval
x =[A, B]
Ellen is drawing two polygons. One of tue polygons has 3 more angles than the other. What shapes could she be drawing?
Answer:
Pentagon and an OCTAGON
Step-by-step explanation:
Polygons are are plane figures with three or more sides. Since plane figures with 3sides are triangles and those with 4sides are quadrilaterals, I will take a plane figure of 5sides as one of the two polygons Ellen is drawing
A plane figure with 5sides and 5angles is a PENTAGON
If one of the polygons has 3 more angles than the other, then the other polygon she is drawing was a polygon with (5+3) i.e 8sides and 8angles. This polygon is known as an OCTAGON
Based on the conclusion, the shape Ellen could be drawing is a PENTAGON and an OCTAGON
which expression represents the volume of the box?
use the formula v=lwh.
please help....
y+2=−2(x−3)
Slope from equation
Problem
What is the slope of the line?
Please find below the given equation-
y + 2 = -2 ( x - 3 )
y + 2 = -2 x - 2(- 3)
y + 2 = -2 x + 6
y = -2 x + 6 - 2
y = -2 x + 4
Let's compare this equation with the form y = mx +c
By comparing we get,
m = -2 and c = 4
We know, in y = mx + c , slope of the line is given by m
Here m = -2, as discussed above
Therefore the slope of the given line is -2
Hope it helps ..!!