The answer for a is +2.
The answer for b is +256.
Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....
Answer:
Here,
3
,
(
−
6
)
,
12
,
(
−
24
)
,
...
is the geometric sequn.
w
h
e
r
e
,
1
s
t
t
e
r
m
=
a
1
=
3
and
common ratio
r
=
−
6
3
=
12
−
6
=
−
24
12
=
−
2
and
S
9
=
?
⇒
n
=
9
We know that,
The sum of first n term of Geometric series is :
S
n
=
a
1
(
r
n
−
1
)
r
−
1
Putting ,
a
1
=
3
,
r
=
−
2
and
n
=
9
S
9
=
3
[
(
−
2
)
9
−
1
]
(
−
2
)
−
1
∴
S
9
=
3
[
−
512
−
1
]
−
3
⇒
S
9
=
3
(
−
513
)
−
3
⇒
S
9
=
513
Step-by-step explanation:
Answer:
Step-by-step explanation:
c.r. r=-6/3=-2
[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
A) 10pi/9 inches
B) 5pi/3 inches
C) 100pi/3 inches
D)40pi/3 inches
Will make brainly who answers correctly.
the diameter of a circle is 8 centimeters
how much better is Alex's money situation than if Amy's balance is $-28 and Alex's is $45?
Answer: Alex has $77 more than Amy
Explanation:
Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.
Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.
Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.
what are all solutions that are viable for the inequality.
-2.5+x\le-12−2.5+x≤−12
Answer:
14.5
Step-by-step explanation:
-2.5+x-12-2.5+x≤-12 = 0
2x = 29
x = 29/2
= 14.5
If the hexagon has a perimeter of 42 what is one of the side lengths
Answer:
7
Step-by-step explanation:
hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42) with the number of sides (6) and you get the length of one side (7)
42/6 = 7
PLEASE HELP! DUE IN 2 HOURS!! GEOMETRY PLEASE
Answer:
side lengths are 96 for HI and PQ and 64 for IJ and RQ
hypothenuse is 115
Step-by-step explanation:
delta HIJ = delta PQR
HI = PQ --> 3x = x + 64
divide both sides by x --> 3 = x/x + 64/x *x/x = 1
3 = 1 + 64/x subtract both sides by 1
2 = 64/x --> 2x = 64 divide both sides by 2
x = 32
IJ = RQ --> x + 32 = 2x
divide both sides by x
1 + 32/x = 2 (again, x/x = 1)
subtract both sides by 1
32/x = 1
x = 32
plug in 32 for x to get the side lenghts
so 3(32) = 96
and 32 + 32 = 64
use equation a^2 + b^2 = c^2
96^2 + 64^2 = c^
9216 + 4096 = c^2
13312 = c^2 square root 13312
c = 115.378
please help me i will give brainliest if you get the answer correct!!
the answer is the third option f(2)<g(2)
if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175
Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?
When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
One pipe takes __ hours alone.
The other pipe takes __ hours alone.
One pipe takes 6 hours working alone.
The other pipe takes 12 hours working alone.
This is a rate of work problem. The formula utilized is
[tex]w=r\times t[/tex]
where
[tex]w[/tex] is the work done[tex]r[/tex] is the rate of work done[tex]t[/tex] is the time taken to do the workWe are looking for how long it will take each pipe to completely fill the pool
For pipe 1 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]
For pipe 2 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]
From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;
[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]
However, if both pipes worked together, it would take 4 hours for each pipe. That is;
[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]
Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,
[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]
Also recall that [tex]t_1+t_2=18[/tex]. So,
[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]
The only factors of 72 that satisfy the conditions
[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]
are 6 and 12.
Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.
The link below has a similar problem on rate of work
https://brainly.com/question/21485928
Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?
Answer:
Chris has 25 Marbles
Step-by-step explanation:
If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.
Hope this helps!!
Geometry problem, Fill in the blanks with the missing angle measures for the triangle shown.
Answer:
A)60°
B)140°
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
What is the surface area?
8 ft
8 ft
8 ft
Answer:
192!!!
Step-by-step explanation:
4 x +2 y =1 6 // write the equation in slope-intercept form plsss
i'll give you brainliest if correct
Answer:
y= -2x+8
Step-by-step explanation:
the common required form is: y=s*x+i, where s - slope, i - interception.
According to the form and the condition y=-2x+8.
Find the perimeter. Simplify your answer.
Answer:
The answer would be simplified as 24b + 2
What are the values of m and n
Answer:
[tex]m=20°; n=45°[/tex]
Step-by-step explanation:
Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]
6 (3j + 5 + 4j) simplified with the commutative property
(25 points)
(this is 6th grade second-semester math)
Answer:
6 x (3j + 5+ 4j)
6 x(8j+4j)
6 x 12
72
Step-by-step explanation:
hope this helps
Answer correctly and u get the brainiest and 20 points! Which equation has a solution of r = 1/3?
3r=1/3
2/2/3+r=3
r−1=2/3
4r = 12
Answer:
Your answer is the second one.
Hope this helps!
Step-by-step explanation:
3 * 1/3 is 1, not 1/3
2 2/3 + 1/3 is equal to 3 and the answer is 3
1/3 - 1 is negative 2/3, not 2/3
4 * 1/3 is 4/3, not 12
Answer: I just keep getting [tex]r=\frac{1}{3}[/tex]
please help me i need this quick
h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.
15 = 2 + 32t - 16t^2
0 = -16t^2 + 32t -13
since the equation isn't factorable we will use the quadratic formula.
(-b +- sqrt(b^2 - 4ac))/2a
=
we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.
Use the information given to enter an equation in standard form. Slope is 3, and (2, 7) is on the line.
Answer:
3x - y = -1
Step-by-step explanation:
Standard form of equation is Ax + By = C
y - y1 = m (x -x1)
y - 7 = 3 (x - 2)
y - 7 = 3x - 6
3x - y = -7 +6
3x - y = -1
Answer: [tex]y-3x=1[/tex]
Step-by-step explanation:
Standard form :
Ax+By=C
We have a linear function y=kx+b ;
we also know its slope k=3 ; and that it passes through the point (2 ; 7 )
Then:
[tex]y=3x+1[/tex]
now substitute the knowledge of the coordinates of the point
[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]
Then we get the function:
[tex]y=3x+1[/tex]
Standard form :
[tex]y-3x=1[/tex]
Pls hurry and no links
Answer:
-20.5
-8
4.5
17
Step-by-step explanation:
y = 2.5x - 8
x = -5
y = 2.5(-5) - 8
y = -12.5 - 8
y = -20.5
x = 0
y = 2.5(0) - 8
y = 0 - 8
y = -8
x = 5
y = 2.5(5) - 8
y = 12.5 - 8
y = 4.5
x = 10
y = 2.5(10) - 8
y = 25 - 8
y = 17
what is the ratio of $1 to 60 cents?
Answer:
100:60
Step-by-step explanation:
$1 is equal to 100 cents
So we can compare it as 100:60
Hope this helps!
Answer:
5:3.
Step-by-step explanation:
That would be 1:0.60
= 100:60
= 5:3.
There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?
Answer:
C:$13. 16 nickles left
Step-by-step explanation:
i know i took this test to on time4learning
what should be the factors of denominator so that a rational number
a) 2or5
b) only 2
c) only 5
d) 2 and 5
Answer:
Step-by-step explanation:
D
Step-by-step explanation:
according to me option A 2 or 5
(simplify)
i will give brainliest if correct
28 ÷ 7 - √9
Answer:
The answer is 1
Step-by-step explanation:
28:7=4
√9=3
4-3=1
Answer:
1
Step-by-step explanation:
Square root of 9=3
28/7= 4
So 4-3=1
Answer is 1
Hope it is correct
how do you do vectors
Answer:
i learn and solve them easily they r easy
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
Determine the measure∠d.
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.
Answer:
12a + 5c = 169
22a + 10c = 314
Step-by-step explanation:
if a = adult tickets and c = children's tickets
12 adult tickets and 5 children's tickets costs 169 dollars
12a + 5c = 169
Also, 22 adult tickets and 10 children's tickets cost 314 dollars
22a + 10c = 314
Answer:
Its D :)
Step-by-step explanation:
Have a good day.
What Is the Intersection of Two Sets
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation: