What decimal is equivalent to 5/6?
1) what is the volume of a cylinder with a radius of 2 cm and a height of 10 cm? ( Express your answer using symbol pie)
A) 4(symbol pie) cm^3
B) 10(symbol pie) cm ^3
C) 20(symbol pie) cm ^3
D) 40(symbol pie) cm ^3
2) a cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)
A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3
3) A cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)
A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3
4) A cylinder and a rectangular prism have the same volume and same height. The base of the prism is a square with length 7 cm.
what is the approximate radius of the cylinder?
A) 4.0 cm
B) 3.5 cm
C) 2.2 cm
D) 1.5 cm
Answer:
1 a 2 d 3b 4 c
Step-by-step explanation:
sorry it took me 6 years to get back to you
What is the completely factored form of 2x2 – 32?
Answer:
[tex]2(x+4)(x-4)[/tex]
Step-by-step explanation:
The given expression is [tex]2x^2-32[/tex]
The GCF of the expression is 2. Hence, we can factor out 2
[tex]2(x^2-16)[/tex]
Now, we can write 16 as a perfect square
[tex]2(x^2-4^2)[/tex]
Apply the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]2(x+4)(x-4)[/tex]
Therefore, the factored form of the given expression is [tex]2(x+4)(x-4)[/tex]
Find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n) = 12+(n-1)(3)
The first, fourth, and tenth terms of the arithmetic sequence A(n) = 12+(n-1)(3) are 12, 21, and 39 respectively.
Explanation:The arithmetic sequence A(n) given by the rule A(n) = 12+(n-1)(3) represents the value of the nth term in the sequence. The first term of the sequence (n=1) can be found by substitifying n=1 into the equation, which will yield [tex]A(1)=12+(1-1)(3)=12.[/tex] The fourth term A(4) can be found similarly by substituting n=4 into equation resulting in [tex]A(4)=12+(4-1)(3)=21.[/tex]The tenth term A(10) can also be calculated in the similar manner giving [tex]A(10)=12+(10-1)(3)=39.[/tex] So, the first, fourth, and tenth terms of the arithmetic sequence are 12,21, and 39 respectively.
Learn more about Arithmetic Sequence here:https://brainly.com/question/35880655
#SPJ12
What is another way to write the expression 82p
To convert 82 pints to quarts, divide 82 by the conversion factor of 2, which provides the result of 41 quarts.
Explanation:To rewrite the expression 82p where p represents pints into quarts, first understand that pints are smaller than quarts. Because there are 2 pints in a quart, you use division for the conversion. Since the conversion factor is 2, you would divide the number of pints by 2 to find out how many quarts that is.
To convert 82p, divide 82 by 2:
82 ÷ 2 = 41
Therefore, 82 pints is equal to 41 quarts.
Learn more about Converting Pints to Quarts here:https://brainly.com/question/18352414
#SPJ2
Summer clothes are on sale starting September 1st. A swimsuit is on sale for 40% off the regular selling price of $55.00. What is the markdown to the nearest cent?
holly can make 3 necklaces with 6 diamonds. if holly has 30 diamonds, how many necklaces can she make?
Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. which does he like:
Ralph would choose any number that is a perfect square.
The pattern Ralph likes is that he prefers numbers that are perfect squares. A perfect square is an integer that is the square of an integer. For example, he likes 25 because it is 52, 400 because it is 202, and 144 because it is 122. Numbers like 24, 300, and 145 are not perfect squares and therefore are not liked by Ralph.
To determine which number Ralph would like from a given list, you should identify which numbers are perfect squares. For instance, between the numbers 146 and 144, Ralph would like 144 as it is a perfect square (122) whereas 146 is not a perfect square.
solve x2+10x+21=0 ...?
Find the area of a square whose side is (3x + 2).
...?
There were 7 field goals made in 14 attempts. how many goals should be made in 8 attempts
Use the distributive property to simplify the expression 6(s-9
Answer:
6s-54
Step by step: Put the 6 in front of the s and then multiply 6*9. so the answer is 6s-54
The distributive property is used in mathematics to multiply a number by multiple numbers within parentheses. Using it for expression 6(s - 9) gives us 6s - 54.
Explanation:The expression you need to simplify using the distributive property is 6(s - 9). The distributive property is a fundamental property in mathematics that allows you to multiply a singular number by multiple numbers within parentheses.
In case of the expression 6(s - 9), you'll simply need to distribute or multiply the number 6 to each term inside the parentheses.
6 x s and 6 x -9. Performing these will give us 6s - 54.
https://brainly.com/question/37341329
#SPJ11
Find the measure of each exterior angle for a regular pentagon. Round to the nearest tenth if necessary.
A. 540 C. 360
B. 108 D. 72
The requried exterior angle of a regular pentagon measures 72 degrees. Option D is correct.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length and an equal measure of angle at the vertex.
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The measure of each exterior angle for a regular pentagon can be found by using the formula: exterior angle = 360 / number of sides.
For a regular pentagon, the number of sides is 5, so the formula becomes, exterior angle = 360 / 5 = 72 degrees.
Therefore, each exterior angle of a regular pentagon measures 72 degrees.
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ6
Twice the difference of two numbers is 14 and their sum is 3
find the numbers.
(2x - 3y)(4x - y) ...?
Round 430 to nearest thousand
Answer:
430 rounded to nearest 1000 = 0
Step-by-step explanation:
Rounding of a number means writing a number which is closely equal to given number but easy to represent and calculate.
We are given the number 430 and we have to round off this number to the nearest thousands.
The place value chart for this number is:
Place Value: Hundreds Tens Ones
430: 4 3 0
Thus, it is clear that 430 does not have a thousands value. Thus, we have zero at thousands place. Thus, we have have to round of zero at thousands place.
Since this, number have no thousands value, when we round it off to nearest thousand we get 0.
430 rounded to nearest 1000 = 0
When the polynomial in P(x) is divided by (x + a), the remainder equals P(a).
A. True
B. False
According to Remainder Theorem for the polynomials, for every polynomial P(x) there exist such polynomials G(x) and R(x), that [tex] P(x)=(x\pm a)G(x)+R(x) [/tex].
When the polynomial in P(x) is divided by (x + a), then there exist such polynomials G(x) and R(x), that P(x)=(x+a)G(x)+R(x). Note that for x=-a:
Answer:
false
Step-by-step explanation:
Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?
Answer:
She need to drive more than 2000 miles for the first rental company to be a better deal .
Step-by-step explanation:
Case 1) One car rental company offers a flat rate of $35 per day plus $0.10 per mile
Let m be the no. of miles
She will need the car for 5 days.
So, total cost = [tex]35 \times 5 +0.10m=175+0.10m[/tex]
Case 2) Another car rental company offers the same car for $25 per day plus $0.25 per mile.
Let m be the no. of miles
She will need the car for 5 days.
So, total cost = [tex]25 \times 5 +0.25m=125 +0.25m[/tex]
Now we are supposed to find How many miles would she need to drive for the first rental company to be a better deal?
So, [tex]175+0.10m <125 +0.25m [/tex]
[tex]175+125 <125 +0.25m-0.10m [/tex]
[tex]300 < 0.15m [/tex]
[tex]\frac{300}{0.15} < m [/tex]
[tex]2000 < m [/tex]
So, she need to drive more than 2000 miles for the first rental company to be a better deal
Lucas is applying to both Stanford and Cal-poly. The probability that he gets accepted to Stanford is 0.4. The probability that he gets accepted to Cal-Poly is 0.3. The probability that he is accepted to both schools is 0.15.
a) What is the probability that he is accepted to one of the two schools?
b) What is the probability that he does not get accepted at either school?
The probability that Lucas is accepted to at least one of the two schools is 55%, while the probability that he does not get into either school is 45%.
Explanation:The subject of the question is probability theory, which is a branch of mathematics. Lucas has a 0.4 chance of getting into Stanford, a 0.3 chance of getting into Cal-Poly, and a 0.15 chance of getting into both. These are independent probabilities because they do not affect each other.
a) To calculate the probability that he gets accepted to at least one of the schools, we add the probabilities of him getting into each school, and then subtract the probability of him getting into both (because we're double counting that scenario). So, that's 0.3 (for Cal-Poly) + 0.4 (for Stanford) - 0.15 (for both) = 0.55, or 55%.
b) In probability theory, the total probability of all possibilities is always 1. So, to find the probability that he doesn't get into EITHER school, we subtract the probability that he gets into at least one school from 1. So, 1 - 0.55 (the answer from part a) = 0.45, or 45%. So, there's a 45% chance that Lucas doesn't get accepted into either school.
Learn more about Probability Theory here:https://brainly.com/question/31469353
#SPJ12
Select the number property that will justify the following expression.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
a. transitive
b. idenity addition
c. communitive addition
d. associative - addition
I believe this may be what your looking for ;-)
Select the number property that will justify the following expression.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
commutative - multiplication used twice
The Commutative Property of multiplication justifies the rearrangement of factors in a multiplication problem, such as changing cba to abc.
If cba represents three numbers multiplied together, the c. Commutative Property of multiplication allows you to rearrange the factors to read abc. This property states that the order of factors can be switched without changing the product, meaning ab = ba. The options provided in the query (transitive, identity addition, and associative - addition) are not related to multiplication or the rearranging of factors.
Solve using quadratic formula. X^2+9x-13=0
How do you write 2010 in word form
If after turning off a applications the download speed increase to 0.15gb min will you be able to download the entire game now
Final answer:
To determine if you can download an entire game with a download speed of 0.15GB per minute, divide the total game size by the download speed. For a 1.5GB game, it would take 10 minutes to download at this speed.
Explanation:
Calculating whether you can download an entire game based on the download speed and the game's size is a problem that falls under the subject of Mathematics. To determine if the game can be fully downloaded, you would need to know the total size of the game. For instance, if the game is 1.5GB and your download speed is 0.15GB per minute, you can calculate the time it would take to download the game by dividing the total size by the download speed. In this example:
Total game size: 1.5GB
Download speed: 0.15GB/min
Time to download = Total size / Download speed = 1.5GB / 0.15GB/min = 10 minutes
Therefore, with a download speed of 0.15GB per minute, you would be able to download a 1.5GB game in 10 minutes. If you have enough time before you need to use the game, you will be able to download the entire game now.
The sum of two numbers is 56, and their difference is 10. What are the numbers?
3/5 of the village speaks one of the 8 major languages. What fraction of the world speaks a language other than one of the 8 major languages?
0.00000768 is the correct answer, depending how you do it.
which of the following is a correct equation for the line passing through the point (-3,2) and having slope m=2/3.
Check all that apply.
A.) y-2=2/3(x+3)
B.) 2x-3y=-12
C.) y=2/3x+4
D.) y=2/3x
Answer:
Step-by-step explanation:
Given : [tex](x_1,y_1)=(-3,2)[/tex]
[tex]m=\frac{2}{3}[/tex]
Solution:
Equation of line:[tex]y-y_1 = m(x-x_1)[/tex]
Substituting the given values
⇒[tex]y-2= \frac{2}{3}(x-[-3])[/tex]
⇒[tex]y-2= \frac{2}{3}(x+3)[/tex] --A
⇒ [tex]3y-6= 2x+6[/tex]
⇒ [tex]2x-3y = -6-6[/tex]
⇒[tex]2x-3y =-12[/tex] ---B
⇒[tex]2x+12 =3y[/tex]
⇒ [tex]\frac{2x+12}{3} =y[/tex]
⇒ [tex]\frac{2}{3}x+4 =y[/tex] ---C
Hence Equation A ,B and C are the correct equations
Given that t is the median of the numbers 32, 64, 22, t, 41, 22, and 78, what is the lowest possible value of t?
Final answer:
The lowest possible value for t as the median of the numbers 32, 64, 22, t, 41, 22, and 78 is 32. This value maintains the order when the numbers are arranged from lowest to highest for t to be the median.
Explanation:
To find the lowest possible value for t given that it is the median of the numbers 32, 64, 22, t, 41, 22, and 78, we first need to arrange the numbers in ascending order.
Since there are seven numbers, the median would be the fourth number when sorted.
To ensure t is the lowest possible median, we sort the remaining numbers excluding t. Thus, we have:
22, 22, 32, 41, 64, 78
The third value is 32, and the fifth value is 41, so for t to be the median, t must be greater than or equal to 32 but less than or equal to 41.
However, since we are looking for the lowest possible value of t, t would be 32, as this is the lowest it can be while still being the median of the sorted list.
What is the value of the function y=2x−3 when x=−1 ?
A linear model projects that the number of bachelor's degrees awarded in the United State will increase by 19,500 each year. In 2001, 1.28 million bachelor's degrees were awarded. Use the inverse function to predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded.
The linear model predicts that approximately 22 years after 2001 (around the year 2023), 1.7 million bachelor's degrees will be awarded annually in the U.S.
Explanation:The problem is related to the mathematical concept of linear modeling. This model is represented by the function f(x) = 19500x + 1.28 million, where x is the number of years after 2001 and f(x) is the number of bachelor's degrees awarded in that year. The objective is to calculate 'x' when f(x) is 1.7 million. To do this, we use the inverse function.
The inverse function of f(x) = 19500x + 1.28 million is the function x = (f(x) - 1.28 million) / 19500. Substituting the known value f(x) = 1.7 million into the equation, we get: x = (1.7 million - 1.28 million) / 19500 ≈ 21.54. Since we cannot have a fraction of a year, we round this up to the next whole number.
Therefore, according to the linear model, it will be approximately 22 years after 2001, i.e., in the year 2023, when the number of bachelor's degrees awarded is expected to reach 1.7 million.
Learn more about Inverse Function here:https://brainly.com/question/17872426
#SPJ12
Using the linear model, it is predicted that 1.7 million bachelor's degrees will be awarded approximately 22 years after 2001, which corresponds to the year 2023.
Explanation:To predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded using a linear model, we start with the initial number of degrees awarded in 2001, which is 1.28 million. According to the model, the number of bachelor's degrees increases by 19,500 each year. We set up the equation: 1.28 million + 19,500x = 1.7 million. Here, x represents the number of years after 2001.
Solving for x gives us:
1.7 million - 1.28 million = 19,500x
420,000 = 19,500x
x = 420,000 / 19,500
x ≈ 21.54
Thus, it will take approximately 22 years after 2001 for 1.7 million bachelor's degrees to be awarded, which means this is expected to occur in the year 2023 (since 2001 + 22 = 2023).
Learn more about Linear Model Prediction here:https://brainly.com/question/37721638
#SPJ3
What percent of 72 is 45