If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?
Answers
Answer: 452.16
Step-by-step explanation:
Related Questions
the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are
Answers
Answer:
1, 5, 10, 10, 5, 1
Step-by-step explanation:
The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...
1, 5, 10, 10, 5, 1
__
Algebraically, they are computed using the formula for 5 things taken k at a time:
5!/(k!(5-k)!)
DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE
Answers
Answer:
I round it to the whole number and degree.
<A = 33°
<C = 97°
C = 63
Step-by-step explanation:
Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]
[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]
A = sin^-1 (104*sin(50)/49)
A = 33°
180° - <B - <A = <C
180° - 50° - 33° = 97°
[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]
The Smith family bought 25 raffle tickets
for a drawing sponsored by the Boys'
Club. If 1000 tickets were sold, which
fraction represents the Smiths' chance of
winning?
(1)
975
1
1
(2) 25
(
(3)
1
40
(4)
1
400
(5) 975
5
Answers
Answer:1/40
Step-by-step explanation: If the Smiths bought 25 raffle tickets, and there were 1000 sold in total, it would mean they have a 25/1000 chance. we can simplify 25/1000 into 1/40. Therefore, the answer is (3)
WILL MARK BRAINLIEST The amount (A) that principal (P) will be worth after t years at interest rate (r) compounded annually is
A = P(1 + r)
t
Suppose $6,000 is invested at 5.5% and yields a total of $7,255. How many years was it invested?
Answers
Put in the formula
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
[tex]\\ \rm\Rrightarrow 7255=6000(1+0.055)^t[/tex]
[tex]\\ \rm\Rrightarrow 1.20917=(1.055)^t[/tex]
[tex]\\ \rm\Rrightarrow ln1.20917=tln1.055[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}[/tex]
[tex]\\ \rm\Rrightarrow t=3.5years[/tex]
Answer:
4 years (nearest year) or
3.5 years (nearest tenth) or
3 years, 6 months and 17 days (most accurate)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $7,255P = $6,000r = 5.5% = 0.055Substitute the given values into the formula and solve for t:
[tex]\implies \sf 7255=6000(1+0.055)^t[/tex]
[tex]\implies \sf 7255=6000(1.055)^t[/tex]
[tex]\implies \sf \dfrac{7255}{6000}=(1.055)^t[/tex]
Take natural logs of both sides:
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)[/tex]
[tex]\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}[/tex]
[tex]\sf \implies t=3.547416819...[/tex]
Therefore, the number of years the principal was invested is:
4 years (nearest year)3.5 years (nearest tenth)3 years, 6 months and 17 daysLearn more about compound interest here:
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Choose all the factors of 12. (Check all that apply.) multiple choice
10
9
2
6
3
8
5
12
7
11
4
1
Please help
Answers
Answer:
Hey!!!!
the answers are 2, 6, 3, 12, 4, 1
Please read the explanation... it always helps..
Step-by-step explanation:
Alrighty... let's begin....
A factor is any number that you can multiply by another number to get a product
So choose the numbers you can mutiply by another number to get twelve... which are... 2, 6, 3, 12, 4, 1
if you are wondering why twelve well... 12 x 1 = 12
i hope this helps!!!!
Which statement is logically equivalent to the following statement: “If it is raining, I will stay home from the concert”?
If I do not stay home from the concert, then it is not raining.
If it is not raining, I will not stay home from the concert.
If it is raining, I will not stay home from the concert.
If I stay home from the concert, then it is raining.
PLS help
Answers
Answer:
It’s If I do not stay home from the concert then it is not raining.
Step-by-step explanation:
it’s the answer that I have because in the question it’s asking what is the same but I guess opposite. Which is why I chose the first answer as my answer since if it’s not raining then they would go to the concert.
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
2 StartRoot 15 pi EndRoot
4 StartRoot 5 pi EndRoot
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Answers
Answer:
C) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFractionStep-by-step explanation:
Given circle with area of:
A = 60 cm²Find its radius
A = πr² ⇒ A/π = r² ⇒ √(A/π) = r ⇒ r = √(A/π)Substitute the values and find the value of r:
r = √(60/π) = 2√(15/π) = 2√(15π) / πNow compare this with answer choices:
A) 2 StartRoot 15 pi EndRoot ⇒ 2√(15π), incorrectB) 4 StartRoot 5 pi EndRoot ⇒ 4√(5π), incorrectC) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction ⇒ 2√(15π) / π, correctD) StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction ⇒ 4√(5π) / π, incorrectAnswer:
c
Step-by-step explanation:
Please help asap.Thanks
Ratio & rate graphs:
A commercial airplane is flying at a rate of 15 miles every 2 minutes.
Complete the table.
Minutes: 2,___, 6, 10
Miles flown: 15, 30,___,___
Answers
Answer:
4, 45, 75
Step-by-step explanation:
15 miles per 2 min = 7.5 miles per 1 min
2 min = 15 min
4 min = 30 min
6 min = 45 min
10 min = 75 min
A pedestrian walks 7.4 kilometers west
and then 9.2 kilometers south.
What is the magnitude of the
pedestrian's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.
Answers
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below
[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]
what valur of x makes the equation below true? 9^5 * 9^7=9^x
Answers
Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
Step 1: Flip the equation.
9^x=282429536481
Step 2: Solve Exponent.
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
find tan (0) from sin 0= 7/9
Answers
Step-by-step explanation:
First, use the Pythagorean theorem to find cos x.
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]
[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]
[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]
Now, use the quotient identity
[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]
[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]
[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]
The answer is A
i want to know this factorization
Answers
32 - (8b^4)^-1 = (1/2)(64 - (4b^4)^-1) = (1/2)(8 + (2b^2)^-1)(8 - (2b^2)^-1)
Or even
32 - (8b^4)^-1 = (1/8)(256 - b^-4) = (1/8)(16 + b^-2)(16 - b^-2)
Both use the difference of two squares ie a^2 - b^2 = (a + b)(a - b)
The product of a 25 and a number, increase by 8 is 68. find the number.
Answers
Answer:
2.4
Step-by-step explanation:
set up an equation to find x, the number.
[tex]25x+8=68[/tex]
subtract 8 from both sides
[tex]25x=60[/tex]
divide both sides by 25 to get x (the variable) alone
[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]
You can transform circle F to circle F' by translating it and then performing a dilation centered at F'. Find the translation rule and the scale factor of the dilation
Answers
The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8
How to find the transformations used?
First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.
F = (-5, 4)
F'= (3, -1)
To get the translation we take the difference between the two centers:
F' - F = (3, -1) - (-5, 4) = (8, -5)
So the translation moves 8 units to the right and 5 units downwards.
To get the dilation we need to find the quotient between the radius of F' and the radius of F.
This is:
k = 4/5 = 0.8
So the scale factor is 0.8
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Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
Answers
[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]
To solve this equation, let's apply the distributive property:-
Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-
[tex]\tt 3x - 3=15 - 20x+8[/tex]
Add 15 and 8 = 23
[tex]\tt 3x - 3=23 - 20x[/tex]
Now, add 20x to both sides:-
[tex]\tt 3x - 3=23 - 20x[/tex]
Combine like terms:-
[tex]\tt 23x-3=23[/tex]
Add 3 to both sides:-
[tex]\tt 23x=23+3[/tex]
[tex] \tt 23x=26[/tex]
Divide both sides by 23:-
[tex]\tt \: x = \dfrac{26}{23} [/tex]
- :)
How can you use a single measure to describe a data set?
Answers
Answer:
There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.
Step-by-step explanation:
A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.
At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?
Answers
Answer:
The correct answer is:
P(nuts)=7/9
Step-by-step explanation:
The experimental probability that the next sundae sold will have nuts is
7/9
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting the experimental probability of occurrence of E.
We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.
Therefore,
Probability that the next sundae has nuts is 14/18 = 7/9.
Thus, Probability that the next sundae does not have nuts = 2/9
P(nuts)=7/9
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A bakery had 953 bags of suger a baker used 32 of these bags to make pies how many bags does the bakery stil have?
Answers
Answer: 921 bags
Step-by-step explanation:
We will subtract bags used from the total number of bags.
953 - 32 = 921
The bakery still has 921 bags of sugar.
Determine whether the equation is true or false
Answers
Answer:
its is true just keep practicing applying urself love<33
Solve for x. Show all work.
Answers
Answer:
x = 10.
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Answer:
x= 10
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Help me pretty please!
Answers
Answer:
g
Step-by-step explanation:
Brainly for the one who help me
Answers
Answer:
the 3rd choice
Step-by-step explanation:
5 STARS FOR A CORRECT ANSWER IMAGE ATTACHED can anyone please answer this or how i find the weighted mean?
Answers
So, basically this is the formula to calculate weight mean.
Thank you.
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
Answers
Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
How to determine the amount of rose petals left?The given parameters are:
Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kgThe amount left is the difference between the amount purchased and the amount used.
So, we have:
Remaining = 0.454 + 0.056 - 0.02 - 0.095
Evaluate
Remaining = 0.395
This means that the remaining amount is 0.395kg, not 0.413 kg
Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
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Answer: she is left with 0.395 kilogram of rose pedals
Step-by-step explanation: she misalinged the first step,
0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
35
840
1,680
2,620
Answers
Answer: b=840
Step-by-step explanation:
edge 2022
do good on your tests !!
There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
ⁿPₓ = n! / (n - x)!
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
There is no difference. So, 7 people can be sit in different ways as;
ⁿPₓ = n! / (n - x)!
⁷P₄ = 7! / (7 - 4)!
= 7! / 3!
= 840
So, the correct answer is, 840
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Solve for x. Round to the nearest tenth.
Answers
Answer:
x = 25.84
Step-by-step explanation:
Secx = hyp /adj
Secx = 30/27
x = ArcSec(30/27)
x = 25.84
need help due in 10 mins
Answers
Answer:
A) The amount of money deposited monthly
Step-by-step explanation:
y = 35x (slope) (amount deposited each month)+ 250 (y-intercept) (starting amount)
Is this function linear or exponential?
x y
0
–
5
1
–
10
2
–
20
3
–
40
4
–
80
Answers
The function represented by the table of values is an exponential function
How to determine the function type?The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
As x increases by 1y multiplies by 2This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
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A popcorn concessionaire has 25pounds of popcorn kernel. if he uses 1/4 pound of kernels for every bag he sells, how many bags of popcorn can he make?
Answers
Answer:
6.25 bags of popcorn
Answer:
6.25 Bags
or
6 whole bags
Step-by-step explanation:
= 25 * 0.25 <-- (This is how you write percentage algebraically)
= 6.25 Bags
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Answers
Answer:
7(5-2)+6
Step-by-step explanation:
difference - subtraction
putting the 7 next to it means that it will multiply times that first