9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years
6 persent
75,000 infour year's
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nice study
I think 22400 mainly because i did the calculation
12500 * .2 4 times and got that answer.
I need Help please in this problem
Answer:
Answer the question yourself and stop being lazy!
Step-by-step explanation:
find the value of k if the roots
of 3x²-5x+k=0, differ by 2
By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as
3x ² - 5x + k = 3 (x - a) (x - b)
and upon expanding, we have
3x ² - 5x + k = 3x ² - (a + b) x + ab
Two polynomials are equivalent if their coefficients are equal, so
a + b = 5
ab = k
We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :
a + (a - 2) = 5
2a - 2 = 5
2a = 7
a = 7/2
Solve for b :
b = 7/2 - 2
b = 3/2
Solve for k :
k = 7/2 × 3/2 = 21/4
Please help !!!!!!!!!!!!!
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
what is the value of x in the equation -6 + x = -5
The area of Region A is the same as the area of region c true or false
Answer:
True
Step-by-step explanation:
Please HELP ASAP!!! The dot plot show the number of hours teenagers spent on two different websites last week. Which statement is supported by the data in the dot plots? (F.) the mode of the data for website K is greater than the mode of the data from website L. (G.) the range of the data for website L is equal to the range of data for website K. (H.) the distribution of data for website L is symmetrical. (J.) the distribution of data for website K is skewed to the left.
Answer:
(F.) the mode of the data for website K is greater than the mode of the data from website L
Step-by-step explanation:
Mode simply means the parameter that occurs the most.
In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.
This means that mode of website K is greater than that of website L.
Thus,statement F is correct
Range is the difference between the highest value and the lowest value..
For website K, Range = 14 - 1 = 13
For website L, Range = 13 - 1 = 12
Thus,range of both websites are not the same and as such statement G is wrong.
For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.
In this case neither website K nor L have that. Thus, statement H is not correct.
Skewed to the left means that more o
dot points are found to the left of the graph.
For website L, more dot points are located to the left while for website K, it's not the case. Thus, statement J is not correct
Answer:
f
Step-by-step explanation:
complete the inequality statement
4/13 __6/13
A box contains 6 red marbles, 10 blue marbles and 4 yellow marbles.
Which colour marble is impossible to take from the box?
red blue white yellow
Answer:
White because there is no white marble.
Step-by-step explanation:
At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.
Answer:
X= $3.99
Step-by-step explanation:
X is the value of each book
Answer:
x=3.99
Step-by-step explanation:
3x + 1.5= 13.47
3x + 1.5 - 1.5 = 13.47 - 1.5
3x = 11.97
3x/3 = 11.97/3
HOPE THIS HELPSSS
Proving triangles similar
Answer:
x=11
Step-by-step explanation:
You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!
Solve the equation for x, where x is restricted to the given interval.
Step-by-step explanation:
[tex]y = 3 \csc( \frac{x}{5} ) [/tex]
[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]
Multiply by 5 on both sides.
[tex]5 \times \frac{y}{3} = \csc(x) [/tex]
Take the inverse of cosecant or arccsc of the function.
[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]
The trigonometric equation for x, where x is restricted to the given interval is x = 5 * arccsc(y/5)
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given
y = 3 CSC(x/5) for x in given domain
y/ 3 = CSC (x/5)
CSC(x/5) = y/3
x/5 = arccsc(y/3)
x = 5* arccsc(y/3)
Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.
Learn more about trigonometry here:
https://brainly.com/question/12068045
#SPJ2
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
Ninety percent of the 50 members of Clean and Green Movement voted for the new
president. How many did not vote for the new president?
Answer:
5
Step-by-step explanation:
90% of 50 is 45.
So 50-45
5
Hope this helps
Four friends each took a different path walking from the drinking fountain to the cypress tree. Who walked the farthest?
Rowan 150yd
Janelle 429ft 8in
Domingo 130yd 2ft
Lydia 460ft
5. Which is the best estimate for the sum of 3/8 and 1/12?
The best estimate is 11/24.
To solve, find a common denominator between both 8 and 12. They can both multiply into 24.
To turn 8 into 24, you multiply by 3, so you must do the same with its numerator. To turn 12 into 24, you multiply by 2, so again, you must do the same with its numerator:
3/8 ---> 9/24
1/12 ---> 2/24
Then, you can add the numerators together and keep the denominator 24:
9/24 + 2/24 = 11/24.
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
Find a equivalent for 24/100
Answer:
Step-by-step explanation:
Divide the numerator and denominator by 2.
[tex]\frac{24}{100}=\frac{12}{50}[/tex]
To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number
please help me! i’m so confused!!
ok
a I'm sure
14*7*8
Step-by-step explanation:
we should multiple everything
2344x24553 math question please answer
Answer:
57552232
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Working Two Jobs. Maggie has a job working in an office for $10 an hour and another job driving a tractor
pays $16 an hour. Maggie works at both jobs and earns $480 in one week.
Answer:
x*$10 + y*$16 = $480
Step-by-step explanation:
The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.
I suppose that we want to get a linear equation that describes the given situation:
Let's define two variables:
x = number of hours that Maggie works in the office (for $10 each)
y = number of hours that Maggie works driving a tractor (for $16 each).
Then the total amount of money that Maggie gets is:
x*$10 + y*$16
Now we know that she earns $480 per week, then we know that:
x*$10 + y*$16 = $480
This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:
x ≥ 0
y ≥ 0
(this means that she can not work a negative number of hours).
Simplify 5/8+1/2-(-6)
Answer:
5/8 +4/8 -(-6) =
9/8 + 6 =
9/8 + 48/8 =
57/8
Step-by-step explanation:
A teacher has an annual income of $55,125.
The income tax the teacher has to pay is
6%. What is the amount of income tax in
dollars and cents that the teacher has to
pay?
FOR BRAINLIST!!
Answer:
A - 3307,50
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
What is the value of 3x + 5y, when x = 12 and y = 4? 24 А B В 48 C 56 D 72
Answer:
C is the answer
Step-by-step explanation:
All you have to do is plug 12 in for x and 4 in for y
3(12) + 5(4) = solve
36 + 20 = 56
Hope that helps
HELP ME PLEASE
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene
-obtuse, isosceles
-acute, isosceles
Answer:
obtuse, scalene
Step-by-step explanation:
Answer:
obtuse,scalene
Step-by-step explanation:
it is more than 180°but less than 360°
it does not have equal sides
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6
Step-by-step explanation:
Finding M:
M is the midpoint of L and P, which is given by the mean coordinates of L and P.
x for L is -3, and for P is 9. So
(-3 + 9)/2 = 6/2 = 3
Finding N:
N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So
(3 + 9)/2 = 12/2 = 6
The correct answer is given by option D.
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.19 reproductions per hour. Assuming that the mean is 6.4 reproductions and the standard deviation is known to be 1.8, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
I need help with this question.
What is the approximate circumference of the circle?
A: 1.57 m
B: 157 m
C: 314 m
D: 3.14 m
Answer:
c=2pie r
2*3.14*0.5
=3.14
option d