In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.
Answer:
xx=15.86
Step-by-step explanation:
What is the second term in the binomial expansion of (2x−3y)12 ?
Recall the binomial theorem:
Group of answer choices
73728x11y1
−73728x11y
−608256x10y2
608256x10y2
The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
Read more at; https://brainly.com/question/24102756
PLEASE HELP
If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and
total receipts for the concert was $291.75, how many of each went to the concert?
Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
-----------------------------------------------------------------------------------------------------------------
-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
----------------------------------------------------------------------------------------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
4. Find PQ. N Р 5x + 16 S R 9x - 32 Q
Answer:
76
Step-by-step explanation:
PQRS is a Rhombus.
Property of Rhombus : -
All sides are equal.
So,
PQ = QR = RN = NP
RN = 5x + 16
QR = 9x - 32
QR = RN
5x + 16 = 9x - 32
9x - 32 = 5x + 16
9x - 5x = 16 + 32
4x = 48
x = 48 / 4
x = 12
Substitute x = 12 in RN,
RN = 5x + 16
= 5 ( 12 ) + 16
= 60 + 16
RN = 76
Since,
PQ = QR = RN = NP
Therefore,
PQ = 76
What is a pair of alternate interior angles?
Answer:
D. ∠2 and ∠8
Step-by-step explanation:
common sense lol
Can you help me
algebra 1
See the picture above for the solution.
A rectangles has a length 2 ft less than three times its width what is the area of the rectangle when its width is 2 ft
Answer:
8
Step-by-step explanation:
rectangle length is 2-3w
w=2
3 x 2=6 - 2=4
l x w
4 x 2 =8
there are 21 ballons 4 are blue ballons 3 is green what is the total of blue ballons
Answer:
4 blue balloons.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: 4 + 3 = 7 and there are 21 balloons 21 - 7 = 14. and thats how you get 14
Which one is the one?
Answer:
yes because are slopes are the same
15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total $4.60. How
many of each coin does he have?
10 quarters 6 nickels 18 dimes
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
The carpet costs $2.59 per square foot, and sales tax is 7.5%. What is the total cost of the carpet? (Round to two decimal places as usual.)
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
Choose the system for this graph
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
HELPPP
Indicate the equation of the given line in standard form, in the equation box below.
The line through (2, –1) and parallel to a line with slope of 3/4.
2. Louis kept losing money through a hole in his pocket. He started with 35€, lost 20€.
put in 754 more, spent 43¢ lost 16¢ again, and then put in 14¢. How much change should
there be in his pocket?
Your answer should be 724 cents, in dollars that is $7.24
Step-by-step explanation:
from the cents is shoes be 724 and the dollars souls be $7.24
Divide. 3/5 divided by 4 =. 12/5 5/20 3/20 6/30
Answer:
3/20
Step-by-step explanation:
3/5 ÷ 4
Copy dot flip
3/5 * 1/4
Multiply
3/20
What is 6.2% of 105 also please include what equation you use to find it
Answer:
6.51
Step-by-step explanation:
105×6.2/100
it gives 6.51
A certain chemical the ratio of zinc the copper is 3 of 13 A jar of chemicals contains 377 grams of copper how many grams of zinc does it have
Answer:its 116 grams of zinc
Step-by-step explanation:
If a sum invested gains 10% each year how long will it be before it has doubled its
value?
Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
A similar problem is given at https://brainly.com/question/23008760
"The sum of a number and 7 divided by -3, is 2."
1/3 x 2/5 in simplest form
Answer:
2/15
Step-by-step explanation:
1/3 x 2/5
= ( 1 x 2 ) / ( 3 x 5 )
= 2/15
Answer:
2/15
Step-by-step explanation:
1/3*2/5
(1*2)/(3*5)
2/15
Please help as soon as possible :))
Answer:
x=45 y=60
Step-by-step explanation:
the picture is kinda blurry but if im seeing it correctly its ^^^
what is the purpose of using measures of variability?
6846 is shared equally between 7 people how much does each person get?
Answer:
978
explanation is a calculator
Find the value of x. NO LINKS AT ALL!!
Answer:
x= -7
The whole thing is just an awkward mirror but the lower triangle has an angle that is 1 degree smaller so the whole lower section is going to be bigger or smaller and the angle that mirrors the 80 degree angle is now 79 degrees which makes the other angle on that line 1 degree bigger which would be 101 so you put it in the expession to make it the equation -12x+17=101 and you solve for x which you would then get -7.
Now when the spending multiplier is same as the one calculated in Q 4c and if there is a decrease in government purchases by $50,000. Calculate the change in AD. (Show your work)
Will AD increase or decrease?
Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.