Answer:
224π
Step-by-step explanation:
2πrh+2π[tex]r^{2}[/tex] is the formula for finding the surface area of a cylinder.
14 ft is the diameter, so 7 ft would be the radius (r).
9 ft is the height (h).
Substitute in your values. 2π x 7 x 9 + 2π[tex]7^{2}[/tex] = 703.717 or 224π
Identify the simplified form of the expression (m 5/2 n 7/2)2 A) m n2 B) m5 n C) m2 n5 D) m5 n7
Answer:
D) m^5·n^7
Step-by-step explanation:
The applicable rule for exponents is ...
(a^b)^c = a^(b·c)
__
[tex](m^{\frac{5}{2}}n^{\frac{7}{2}})^2=m^{\frac{5}{2}\cdot2}n^{\frac{7}{2}\cdot2}=\boxed{m^5n^7}[/tex]
please help someone
Pete Fred and Sarah were given £500 to share in the ratio of there ages, Pete is 11 years old, fred is 19 years old and Sarah is 20 years old, how much should they each get?
Answer:
see explanation
Step-by-step explanation:
Sum their ages , 11 + 19 + 20 = 50
Divide £500 by 50 to find the value of one part of the ratio
£500 ÷ 50 = £10, thus
11 × £10 = £110 ← Pete's share
19 × £10 = £190 ← Fred's share
20 × £10 = £200 ← Sarah's share
Answer:
Pete's share: £110
Fred's share: £190
Sarah's share: £200
Step-by-step explanation:
Add their ages:
11 + 19 + 20 = 50
500 ÷ 50 = £10
Then you times their age with £10 to get how much they all get.
10 x 11 = £110
19 x 10 = £190
20 x 10 = £200
I hope my answer will help you out!
What is the image of (2,-2) after a dilation by a scale factor of 5 centered at the
origin?
Answer:
(10, -10)
Step-by-step explanation:
since the point is at the origin, simply multiply.
2 * 5 = 10
-2 * 5 = -10
Answer:
(10, -10)
Step-by-step explanation:
multiple both X and Y by 5
then you get 10,-10 i hope your not mad if this is wrong
Whats the square route of 49?
Answer:
The square root of 49 is 7.
Step-by-step explanation:
To find the square root of 49, you would need to look at the possible multiplication equations. For example:
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
As you can see, 7 x 7 would have the square root of 49, which is 7.
7^2=49
.
In conclusion, the square root of 49 is 7
Answer:
The square route of 49 is 7.
Step-by-step explanation:
All you have to do is 7 x 7 = 49
There. You have your correct answer.
A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. What is the probability that the password spells the word “MATH?”
Answer:
Only vowels and odd numbers:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
Spells math:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800
How to determine the probabilityThe password format is given as:
LDDDDLLL
Since no character can be repeated, then the total number of different password using the format is:
Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23
Total = 1808352000
Also using the format, the number of passwords with only vowels and odd numbers is:
Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2
Total = 14400
The probability is then calculated as:
[tex]p = \frac{14400}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{125580}[/tex]
The number of password that spells MATH is:
Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1
Total = 5040
So, the probability that a password spells MATH is:
[tex]p = \frac{5040}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{358800}[/tex]
Hence, the probability that a password spells MATH is 1/358800
Read more about probability at:
https://brainly.com/question/25870256
If you miss the bus, then you will be late to school.
law of syllogism basically is a=b b=c then a=c
a = miss bus
c= detention
so if you miss the bus you get detention
D
The following equation involves multiple angles. Solve the equation on the interval (0, 2pi) tan x/2 = - suare root 3\ 3
Answer:
Step-by-step explanation:
tan x/2=-√3/3
sec²x/2-tan²x/2=1
sec²x/2-3/9=1
sec² x/2=1+1/3=4/3
cos² x/2=3/4
2cos² x/2=3/2
1+cos x=3/2
cos x=3/2-1=1/2=cos π/3,cos (2π-π/3)
x=π/3,5π/3
or
cos x=(1-tan²x/2)/(1+tan²x/2)=(1-1/3)(1+1/3)=(2/3)/(4/3)=1/2=cos π/3,cos (2π-π/3)
or x=π/3,5π/3
x=π/3
x/2=π/6
tan x/2=tan π/6=√3/3
so x=π/3 is an extraneous value.
x=5π/3 is the solution.
or
tan x/2=-√3/3=-1/√3=(-1/2)/(√3/2) [by dividing numerator and denominator by 2]
=-tan π/6=tan (π-π/6),tan (2π-π/6)
x/2=5π/6,11π/6
x=5π/3,11π/3,
now 11π/3 >2π
so x=5π/3
State if a triangle is acute, obtuse, or right.
3 am
3 am
5 cm
A) Acute
B) Right
C) Obtuse
ANSWER QUICK 10 POINTS!!
Answer:
Acute.
Step-by-step explanation:
This is a right angle:
|_ (Basically angle makes an "L" shape and equals to 90 degrees)
This is an obtuse angle:
\_ (Basically like a fat/big angle that is greater than 90 degrees)
This is an acute angle:
/_ (Basically "a-cute" angle that is small and is less than 90 degrees)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that helps and maybe earns a brainliest! :)
If N=6+4+3+1+1/3N then the value of N is
A)12
B)15
C)18
D)21
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra IEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityApplicationStep 1: Define*Note: I am going to assume what the equation is, since it is unclear.
Let's define the equation given to us:
[tex]\displaystyle N = 6 + 4 + 3 + 1 + \frac{1}{3}N[/tex]
Step 2: WorkLet us now find the value of N:
[Equation] Apply Order of Operations [BPEMDAS]:∴ the value of N = 21.
Answer∴ the answer choice would be D) 21.
___
Learn more about solving equations: https://brainly.com/question/10664006
Learn more about Algebra I: https://brainly.com/question/13368247
___
Topic: Algebra I
Unit: Two-step Equations
I am interested in the how, not just an answer. Who can show me the correct solution path?
In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog.
Answer: 9/25
Step-by-step explanation:
which of the sequence is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
An arithmetic sequence has to increase or decrease by the same amount each time
-3 ,-10,-17,-24,-31
Decreases by 7 each time so it is an arithmetic sequence
Answer:
i think its D not to sure
Step-by-step explanation:
Which of the following operations would be used to solve5x=10? - 5 ÷ 5 2 + 5
Answer:
Divide each side by 5
Step-by-step explanation:
5x=10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
/5
Step-by-step explanation:
i dont really know how to explain this but if your trying to find x you have to put it on one side, so inorder to get rid of the 5 on 5*x and the opposite of multiply is division so you divide by 5.
if the parent function is y=2x, which is the function of the graph?
a. y = 0.5(2)^x+1 - 3
b. y = 0.5(2)^x-1 - 3
c. y = 0.5(2)^x+1 + 3
d. y = 0.5(2)^x-1 + 3
Answer:
The answer is option B.[tex]y = 0.5 {(2)}^{x - 1} - 3[/tex]
Hope this helps you
The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?
Answer:
g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted up 4 units, thus translated function is
g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Answer:
C. g(x) = (1/5) x + 4
Hope this helps!
Step-by-step explanation:
If the picture looks a little weird, just zoom in and it should be fixed.
Answer:
c
Step-by-step explanation:
got it right
Find the perimeter of the quadrilateral
If x= 2, the perimeter is____ imches
━━━━━━━☆☆━━━━━━━
▹ Answer
Perimeter = 8 inches
▹ Step-by-Step Explanation
a + b + a + b
2 + 2 + 2 + 2 → 8 inches
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
8 inches
Step-by-step explanation:
since a quadrilateral has 4 sides and each side equals 2, you would just add all the sides to together to get 8!
2 + 2 + 2 + 2 = 8
hopefully this helped :3
Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.
Answer:
108 cm^2
Step-by-step explanation:
The lateral surface area of a pyramid is given as
LSA= 1/2×perimeter of the base×slant height
base is hexagon with side 3 cm , therefore, perimeter of the base
=6×3=18 cm
slant height = 12 cm
thus, LSA = 1/2×18×12 = 108 cm^2
Find the value of the expression below.
log5 2 + log5 10 - log5 4
Answer:
A. 1
Step-by-step explanation:
To find the value of the expression, we will follow the steps below:
log₅2 + log₅10 -log₅4
From the rules of logarithm
logₐb + logₐc = logₐbc
similarly
logₐb - logₐc = logₐb/c
applying the two rules above to our expression will yield:
log₅2 + log₅10 -log₅4
=log₅(2 x 10) /4
=log₅20/4
=log₅5
also according to the rule of logarithm, logₐa=1
Therefore,
log₅5 =1
Therefore, the correct answer is 1
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]10b=5(\sqrt{c}+2)[/tex]
We need to find an equation which is equivalent to the given equation.
Using distributive property, we get
[tex]10b=5(\sqrt{c})+5(2)[/tex]
[tex]10b=5\sqrt{c}+10[/tex]
Subtract both sides by 10.
[tex]10b-10=5\sqrt{c}[/tex]
Divide both sides by 5.
[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]
Taking square on both sides.
[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]
[tex]\dfrac{(10b-10)^2}{25}=c[/tex]
[tex]c=\dfrac{(10b-10)^2}{25}[/tex]
This equation is equivalent to the given equation.
Therefore, the correct option is D.
Answer:
d on edgenuity
Step-by-step explanation:
I need the domain to this.
Answer:
all real numbers greater than zero
Step-by-step explanation:
The square root of a number must be greater than or equal to zero
sqrt(x) ≥0
Squaring each side
x ≥0
This means the domain is all real numbers greater than or equal to zero
I would go with all real numbers greater than zero since it is the closest answer
PLEASE HURRY! ILL GIVE BRAINLEIST!
The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
A. 3 schedules B. 5 schedules C. 6 schedules D. 9 schedules
Answer:
b
Step-by-step explanation:
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Answer:
8 yearsStep-by-step explanation:
Given,
Principal (P) = £ 30000
Simple Interest ( I ) = £ 28800
Rate (R) = 12%
Time (t) = ?
Now,
[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]
[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]
[tex] = \frac{2880000}{360000} [/tex]
[tex] = 8 \: years[/tex]
Hence, It would take 8 years.
Hope this helps...
Good luck on your assignment...
To date, this year, Company XYZ has sold 600 units. They sell units at an average rate of 20 per week. The company wants to sell more than 1,000 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal? A. 20x > 1,600 B. 20x + 600 > 1,000 C. 20x > 1,000 D. 20x - 600 > 1,000
Answer:
B. 20x + 600 > 1,000.
Step-by-step explanation:
Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.
We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.
Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.
That leaves us with: B. 20x + 600 > 1,000.
Hope this helps!
Answer:
The answer is B
If h(x) = (fºg)(x) and h(x) = 3(x+2)^2 find one possibility for f (x) and g(x).
A.
f(x) = x + 2
g(x) = 3x^2
B.
f(X) = (x+2)^2
g(x)=3x^2
C.
f(x)=3x2^2
g(x)= (x+2)^2
D.
f(x) =3x2^2
g(x) = x+2
Answer:
[tex]f(x) = 3x^2[/tex]
[tex]g(x) = x + 2[/tex]
Step-by-step explanation:
Given
[tex]h(x) = 3(x+2)^2[/tex]
[tex]h(x) = (fog)(x)[/tex]
Required
Find f(x) and g(x)
[tex]h(x) = (fog)(x)[/tex]
Rewrite h(x)
[tex]h(x) = f(g(x))[/tex]
If [tex]h(x) = 3(x+2)^2[/tex]
then
[tex]f(g(x)) = 3(x+2)^2[/tex]
This implies that; the expression in the brackets are equal;
In other words; function g(x) on the left hand side is equal to expression x + 2 on the right hand side
So;
[tex]g(x) = x + 2[/tex]
To find f(x), substitute g(x) with x
[tex]f(x) = 3(x)^2[/tex]
[tex]f(x) = 3x^2[/tex]
Final solutions are
[tex]f(x) = 3x^2[/tex]
[tex]g(x) = x + 2[/tex]
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
x=-81
Answer:
none
Step-by-step explanation:
If a squared variable is equal to a negative number, all of the solutions are imaginary
There are no real solutions
Answer:
The correct answer is none.