Which figure shows how a shape can be rotated about an axis to form a cone?
A. Triangle
B. Circle
C.Square
D. right triangle
The figure that shows how a shape can be rotated about an axis to form a cone is (d) right triangle
How to determine the figure?The shapes are given as:
A. Triangle
B. Circle
C.Square
D. right triangle
Rotating a circle about its axis would form a sphere, while a square would be rotated to form a cylinder.
However, when a right triangle is rotated, it forms a cone
Hence, the figure is (d) right triangle
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If 17 is increased to 23, the increase is what percent of the original number? (this is known as the percent of change.)
Find the prime factorization of 210.
2 X 3 X 5 X 7
2 X 3 X 35
2 X 7 X 15
Answer: 2 X 3 X 5 X 7
Step-by-step explanation:
The given number to find the prime factorization =210
We know that 210 can be written as [tex]21\times10[/tex]
Also , 21 can be written as [tex]3\times7[/tex].
And 10 can be written as [tex]2\times5[/tex]
Then , the prime factorization of 210 is given by :-
[tex]210=21\times10\\\\=3\times7\times2\times5[/tex]
Hence, the prime factorization of 210= 2 X 3 X 5 X 7
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=2/7x
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.
How many hours did Miriam stop to rest
PLEASE HELP! 15 POINTS
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W
A farmer has 6 1/2 of land for growing crops. If she plants corn on 3/5 of land, how many acres of corn will she have?
If b= the number of boys, which algabraic expression represents the phase?
How do you write 650 as a fraction or mixed number in simplest form?
A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.
Based on the model, what is the growth factor for the population of rabbits?
Answer:
The growth factor is '2'
Step-by-step explanation:
Here, the given function that represents the population of the rabbits that is increasing exponentially,
[tex]f(x)=5(2)^t----(1)[/tex]
Since, the growth factor is a multiplier that increases the value per period,
Also, in an exponential growth function,
[tex]y=ab^x[/tex]
b is called the growth factor where x is a variable,
Since, in function (1) t is a variable ( time in months )
By comparing, b = 2,
Hence, the growth factor is 2 for the given function.
number divided by -3 is less than 6
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-0.785714286 as a fraction
Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)
What is the answer for 623 divided by 20?
are the lines the same if the right line is a translation of the left line 4 units to the right
Molly bought a case of bottled water at the store. The case contains 48 bottles. Molly knows that she will drink 3 bottles of water each day and plans to restock her supply of water once she has fewer than 10 bottles left. Determine which inequality is used to find the number of days, x, before Molly will need to restock her supply of bottled water
48 - 3x < 10, x=13
13 days
will give award to whoever answers!
justify each step in solving 4x - 3 = 9
4x - 3 + 3 = 9 + 3
4x = 12
4x/4 = 12/4
x = 3
Which answer is equal to i58 ?
−i
i
−1
1
As per complex number, the value of [tex]i^{58}[/tex] is (- 1).
What is a complex number?"Complex number is the number that is expressed in the form of [tex](a + ib)[/tex]where, 'a', 'b' are real numbers and 'i' is an imaginary number."
Therefore, the simplified value is
[tex]i^{58} \\= (\sqrt{-1})^{58} \\= (-1)^{29} \\= -1[/tex]
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Your business borrowed 10 bitcoins on May 1, when 1 bitcoin was worth $1,418.86. On June 1, 1 bitcoin was worth $2,441.29. Not counting the 1 month of interest, what is the total amount, including the principal, your business owed on June 1, in dollars?
The business owed a total of $24,464.43, including the principal, on June 1.
Explanation:To calculate the total amount your business owed on June 1, we need to find the value of the borrowed bitcoins in dollars on that date.
Step 1: Convert the number of borrowed bitcoins to dollars on May 1 by multiplying it by the value of 1 bitcoin in dollars: 10 bitcoins * $1,418.86/bitcoin = $14,188.6.
Step 2: Convert the value on May 1 to the value on June 1 by multiplying it by the change in the value of 1 bitcoin:
$14,188.6 * ($2,441.29/$1,418.86)
= $24,464.43.
Therefore, your business owed a total of $24,464.43, including the principal, on June 1.
The total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
To calculate the total amount owed on June 1, we need to multiply the number of bitcoins borrowed by the value of one bitcoin on that date.
On May 1, the business borrowed 10 bitcoins, and the value of one bitcoin on June 1 was $2,441.29. Therefore, the total amount owed on June 1, excluding interest, is calculated as follows:
Number of bitcoins borrowed = 10
Value of one bitcoin on June 1 = $2,441.29
Total amount owed on June 1 (in dollars) = Total amount owed on June 1 (in dollars) = [tex]10 \times $2,441.29[/tex]
Total amount owed on June 1 (in dollars) = $24,412.90
Thus, the total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches
Answer: B) [tex]36\pi \text{cubic inches}[/tex]
Step-by-step explanation:
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.
Given : The radius of the sphere = 3 inches
Then , the volume of the sphere will be :-
[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]
Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]
Solve the inequality. -2/3x – 10 < 1/3
Identify the hypothesis of the statement below.
If the sum of the measures of two angles is 180°, then the angles are supplementary angles.
Jon makes $78 in 12 hours of work for his mom. how much would jon make in 20 hours of work
Answer:
$130
Step-by-step explanation:
This is a direct proportionality between the amount he makes and the time worked. As the time increases, so does the amount he makes and vice versa.
Let the amount made be A and the time T
A ∝ T,
A = KT where K is the constant of proportionality
where Jon makes $78 in 12 hours of work, A = 78, T = 12
78 = 12K
K = 6.5
A = 6.5T
In 20 hours of work, T = 20
A = 6.5 × 20
A = $130
There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answer:
24,024
Step-by-step explanation:
on god
Which unit rate is the lowest price per ounce? choice
a.25 ounces of potato chips for $3.49 choice
b.45 ounces of potato chips for $4.79 choice a choice b the unit rates are equal. the unit rates cannot be determined?
Answer:
choice b
Step-by-step explanation:
im smart
A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.
a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.
b. How many miles can the owner travel on 12 gallons of gas?
What is Indegree and Outdegree of a graph?
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.
The shirt ring up for at the register will be given as,
⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)
⇒ $45.99 x 0.65 x 1.0725
⇒ $32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
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