A circle has an area of 256 square inches. If the radius of
the circle is multiplied by 4, what will be the area of the new
circle formed?
OA) 890 in.
OB) 1520 in.
OC) 4096 in
OD 5360 in.
Answers
Answer:
Option C (4096π in²)
Step-by-step explanation:
Area of the circle = 256π in²
We know that [tex]Area=\pi r^{2}[/tex] , where r = radius of the circle
So,
[tex]256\pi = \pi r^{2}[/tex]
Cancelling π from both the sides,
[tex]=> r^{2} = 256[/tex]
[tex]=> r = \sqrt{256} = 16[/tex]
The radius of the circle = 16 in.
When the radius is multiplied with 4 , new radius = 16×4 = 64 in.
New Area = [tex]\pi (64)^{2} =4096\pi \: in^{2}[/tex]
Answer: C
Step-by-step explanation:
Related Questions
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of mild are needed for 8 servings
Answers
Answer:ok
Step-by-step explanation:
n jjbjnujg6t6ugyg ffvjnjg
Step-by-step explanation
knjjbvfghjk,mn cxsertyuj
Tennis ball machine can launch 60 tennis balls in 12 minutes. At this rate, how many tennis balls can it launch in 1 hour
Answers
Answer:
Step-by-step explanation:
if the machine launch
60 balls...........................12 min
?..........................................60 min
60*60/12=3600/12=300 balls
Answer:
300
Step-by-step explanation:
12x5=60 so in 1 hour, the machine can launch 60x5 balls. and 60x5=300 (hope this helped and sorry if it's wrong)
Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit
$10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out!!!!
Answers
9514 1404 393
Answer:
a) $169,234.59
b) $19,234.59
Step-by-step explanation:
The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?
The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.
__
a) Assuming an "annuity", the formula is ...
A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years
A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance
__
b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...
$169,234.59 -150,000 = $19,234.59 . . . . interest earned
Help i just wanna play overwatch and I CANT DO THAT if it isnt completed pls help
Answers
Answer:
why overwatch tho
Step-by-step explanation:
Answer:
why not call of duty or something dud
Step-by-step explanation:
hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.
Answers
Answer:
It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.
Hope this helps! But this would be easier to explain with an example
Your last visit is to the famous tourist attraction, the one and only Empire State Building! Your Boss wants you to double check your coworker’s measurements to determine if the scale drawing replicated is proportional to the actual Empire State Building.
Lastly, your Boss wants to know if your coworker’s scale drawing is an enlargement or reduction? Your coworker’s dimensions are 5.15 by 6.30 square feet. While the Empire State Building is 7.21 by ________________. What is the missing measurement of the side?Is this an enlargement or reduction?Explain why.
(Please explain thoroughly step by step how you solved the problem.If you can,please provide an image of how you solved the problem.)
Answers
Work Shown:
(5.15)/(6.30) = (7.21)/(x)
5.15*x = 6.30*7.21 ....... cross multiply
5.15x = 45.423
x = (45.423)/(5.15) ...... dividing both sides by 5.15
x = 8.82
Factor the polynomal 4x3+8x2+12x.
Answers
Answer:4(3+4+3x)
Step-by-step explanation: This simplifies to 12+16+12x. The GCF is 4. So if you factor out 4, your answer will be 4(3+4+3x).
Paula owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 5 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 3 pairs in size 5 and 3 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?
Answers
She orders 5 pair in 5 different sizes:
5 x 5 = 25 pair
She orders 3 pair in 3 different sizes:
3 x 3 = 9 pair
Total pairs = 25 + 9 = 34 pair.
Convert the decimal to a fraction.
0.5 =
Repeating
Answers
Answer:
1/2
Step-by-step explanation:
If there is exactly the same number from each side in which the other side is doubled, it is exactly 0.5 also 1/2.
which statement is true about the function f(x)= -x?
The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers less than or equal to 0.
Answers
Answer:
Step-by-step explanation:
The domain of the graph is all real numbers.
Alexis and Paige work together as photographers for the local newspaper. Alexis is paid $25 for each news story she shoots and an additional $5 per picture. Paige makes $15 for each news story and $10 per picture. Write an expression to show how much the newspaper will pay if Alexis and Paige are hired together. Use p as the variable for pictures
Answers
Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = [tex]25n+5p[/tex]
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = [tex]15n+10p \\[/tex]
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = [tex]25n+5p+15n+10p=40n+15p[/tex]
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
5x+y=-24
x + 3y = -2
Answers
Answer: in point form (-5,1) in equation form: x=-5,y=1
Step-by-step explanation:
find the value of x showing your steps. identify the postulate that allowed you to solve for x.
Answers
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
CongruencyAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
Step 2: Solve for x
Divide 3 on both sides: x + 7 = 21Subtract 7 on both sides: x = 14Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?
Answers
Answer:
3.5 hours
Step-by-step explanation:
if you multiply 6 and 2 by 3.5, then add them you get 28
Which statement best describes how people within a country may be different?
People know that each region has the same traditions and culture.
People from different regions have different cultures, values and languages.
People believe that people from each region are equal to one another.
People think that mountainous regions are more important than others.
Answers
Answer:
its B People from different regions have different cultures, values and languages.
Step-by-step explanation:
i just took the assignment
also i got it right thx to my notes
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.
Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) Test Result Test Result Column Total Condition Present 105 24 129 Condition Absent 25 46 71
(a) P(+ condition present): this is known as the sensitivity of a test.
(b) P(- | condition present); this is known as the false-negative rate.
(c) Pcondition absent); this is known as the specificity of a test.
(d) P(+ | condition absent); this is known as the false-positive rate
(e) Prcondition present and +); this is the predictive value of the test
(f) P(condition present and-)
Answers
Answer:
a. 105/130
b. 25/130
c. 46/70
d. 24/70
e. 105/200
f. 25/200
Step-by-step explanation:
A.
P(+|condition present)
= Prob(+ and condition present)/condition present
= 105/130
B.
P(-|condition present)
= Prob(- and condition present)/condition present
= 25/130
C.
P(-|condition absent)
= Prob(- and condition absent)/condition absent
= 46/70
D.
P(+ | condition absent)
= Prob(+ and condition absent)/condition absent
= 24/70
E.
P(condition present and +)
= 105/200
F.
P(condition present and -)
= 25/200
Can someone help me on this question please?
Answers
Answer:
x = 140° ∵ allied angles sum to 180°
Step-by-step explanation:
Allied angles are interior angles within two parallel lines and they add up to 180°. In this case, x and 40° add up to 180° since there are two horizontal parallel lines.
Four students rode they bikes too school, I need to know who rode the fastest based on the graphs
Answers
Answer:
Eddie
Step-by-step explanation:
bc he went wider technically
Because when you look at the side they are talking about miles and 8 miles is a lot
8 miles - 40-60 minutes.
I think my answer is right.
The graph shows the relationship it’s between the number of hours Kaylee works and amount of money she earns which statement describes the pattern of the value shown in the graph
Answers
Answer: it’s a
Step-by-step explanation:
what are the common factors of 99 and 36
Answers
Answer:
9
Step-by-step explanation:
Just like finding the GCD.
Answer:
The common factor of 99 and 36 is 9!
Step-by-step explanation:
For the order of operations, Group of answer choices Multiplication, division and remainder is performed first Addition and subtraction is performed first Assignment is performed first Addition and subtraction is performed after multiplication, division and remainder Multiplication, division and remainder is performed after addition and subtraction Assignment is performed last
Answers
Answer: Addition and subtraction is performed after multiplication, division and remainder
Step-by-step explanation:
The correct order of operations is to calculate whatever is in the parenthesis first.
Then calculate multiplication and division depending on which comes first as you move from left to right.
Then addition and subtraction can be performed also depending on which comes first as you move left to right.
How can you tell if a number is prime or compsite
Answers
Answer:
A prime number doesn't have any factors besides one and itself. For example, 17 is a prime number because you can't multiply anything to get 17 besides 17 and 1 (excluding decimals).
Composite numbers are numbers that have other factors other than 1 and themselves. Example: 12 is a composite number because you can multiply 3 by 4 to get 12, or 2 by 6 to get 12, not just 12 times 1.
Now check your predictions. In GeoGebra, translate quadrilateral ABCD 7 units up, 1 unit down, 4 units to the right, and 3 units to the left. Enter the coordinates for the vertices of quadrilateral A'B'C'D' in the table. Paste a screen capture of the images you created below the table.
Answers
Answer:
Step-by-step explanation:
Complete the proof.
Drag and drop the expression to correctly complete the proof of the polynomial identity (x−y)2+4xy=(x+y)2.
Answers
Answer:
See attached
Step-by-step explanation:
The proof is attached
Answer:
x^2-2xy + y^2 + 4xy = (x + y)^2
x^2 + 2xy + y^2 = (x + y)^2
(x + y)^2 = (x + y)^2
186 = 6 (3n + 7) answer for N
Answers
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
186 = 6(3n + 7)
Step 2: Solve for n
Divide 6 on both sides: 31 = 3n + 7Isolate n term: 24 = 3nIsolate n: 8 = nRewrite: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 186 = 6(3(8) + 7)Multiply: 186 = 6(24 + 7)Add: 186 = 6(31)Multiply: 186 = 186Here we see that 186 does indeed equal 186.
∴ n = 8 is the solution to the equation.
Tell whether { (1,2) (3,4) (4,3) (2,1) } is a function.
Answers
What is the justification for step 2 in the solution process?
12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
Answers
Answer:
Subtraction Property of equality
A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?
Answers
Answer: 14 customers
Step-by-step explanation: Right now, you can set up an equation that looks something like this. 6h=84 (h means hours). To find the number of customers in one hour, all you have to do is isolate h on one side of the equation. To do this, just divide both sides by 6 and you should get h=14. So in one hour, this particular server sees 14 people. Hope this helps! :)
What percentage of a dollar is: 2 dimes, 3 nickels, and 2 pennies? *
Answers
Answer:
37%
Step-by-step explanation:
2 dimes = 20 cents, or 20%
3 nickels = 15 cents, or 15%
2 pennies = 2 cents, or 2%
20+15+2 = 37
Is
Find a polynomial that represents the area of the
square.
9x + 3
The area is represented by a
(Simplify your answer.)
Answers
Answer:
Area for square is the product of 2 sides. So (9x+3)(9x+3)=81x^2 + 54x + 9
Simplify it by dividing all of the numbers by 9. So,
it'd be 9x^2 + 6x + 1