Answer:
See below.
Step-by-step explanation:
Call the sum of the first n terms S.
S = a + ar + ar^2 + ar^3 + ... + ar^(n -1)
Multiply both sides by r.
Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^n
No subtract S - Sr.
S = a + ar + ar^2 + ar^3 + ar^4 + ... + ar^(n -1)
(-) Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^(n - 1) + ar^n
-------------------------------------------------------------------
S - Sr = a - ar^n
S(1 - r) = a(1 - r^n)
S = a(1 - r^n)/(1 - r)
S = a(r^n - 1)/(r - 1)
a + ar + ar^2 + ar^3 + ... + ar^(n -1) = a(r^n - 1)/(r - 1)
Find the value of x and found to the nearest degree help ASAP
Answer:
22
Step-by-step explanation:
sin(X) = perpendicular/base
sin(X) = 7/19
X=arcsin(7/19)=22
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
Step-by-step explanation:
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
SEE QUESTION IN IMAGE
Answer:
See belowStep-by-step explanation:
(b)
The table is attached(i)
The graph is attached(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:
500 - 177 = 323(iii) P(pass) = 323/500 = 0.626 or 62.6%
a, 0,03m3=............ dm3=...........cm3
Answer:
0.03 m³ = 30 dm³ = 30000 cm³
Find the area of given figure: 6cm 2cm 3cm 1cm
Answer:
12cm²
Step-by-step explanation:
separate it to two parts, rect and square
rect- 3cm×1cm =3cm²
square- 3cm×3cm =9cm²
then, 3cm²+9cm²=12cm²
The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt
Answer:
실례합니다?
Step-by-step explanation:
질문이 뭔가요??? 이해가 안가요? 어느 언어?
what is percent of a number
Step-by-step explanation:
a fraction of a number out of 100%
Answer and step-by-step explanation:
Percent (%) means per 100
A percentage is a number or ratio expressed as a fraction of 100
Example 50% of 8 = 8*50/100 = 4
find the third proportional of 3 5 7
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5
A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?
Answer:
u can solve ur self but let me help you
Step-by-step explanation:
simply:subtract 525ml from 512.6 liters
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
What is the answer if 202^2 base3 - 112^2 base3?
Answer:
Hello,
answer is 204 in base 10 or 21120 in base 3
Step-by-step explanation:
[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]
repost , can someone help asap!
Answer:
y = -3/4x + 3
Step-by-step explanation:
Solve the quadratic equation by factoring
1). 210m^2+156m-96=0
2). 35m^2+26x-16
3). 35m^2+40m-14m-16
4). (35m^2+40m)+(-14m-16)
5). 5m(7m+8)-2(7m+8)
6). (5m-2)(7m+8)
7.) m= 2/5, -8/7
On the 2nd step I divided 6 on both sides.
three consecutive even numbers add up to 105 determine the product of the three numbers
Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.
Answer:
girls = 40%
boys = 60%
Step-by-step explanation:
Girls = 160
boys = 240
total students = 160+240
= 400
so,
percent of girls = (160/400)×100%
= (2/5)×100%
= 2×20%
= 40%
so,
percent of boys = 100% - 40%
= 60%
What is the equation of the line that passes through (-12,6) and (-6,1)?
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
PLEASE HELP DUE IN 15 MNUTES MARKING BRAINLIEST AND 15 POINTS YOU DONT HAVE TO EXPLAIN MUCH
Answer:
see below
Step-by-step explanation:
11a -2(x^2 -3)
Distribute
-2*x^2 -2(-3)
-2x^2 +6
11b 2x(x+4)
Distribute
2x*x +2x*4
2x^2 +8x
12 The perimeter is the sum of all sides
The top is equal to the bottom and the left side is equal to the right
x-10 + x+20+x-10+x+20
Combine like terms
4x +20
Find the missing side. Round to the nearest tenth
We know
[tex]\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}[/tex]
[tex]\\ \sf\longmapsto cos59=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto 0.5=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto x=28\times 0.5[/tex]
[tex]\\ \sf\longmapsto x\approx 14[/tex]
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex] \cos( \theta) = \frac{a}{h} \\ \cos(59) = \frac{x}{28} \\ 0.5 \times 28 = x \\ 14 = x[/tex]
What is the domain of the given function? {x | x = -6, -1,0,3}, { y | y = -7,-2,1,9}, {x | x = -7, -6, -2, -1, 0, 1, 3 , 9}, { y | y = -7, -6 , -2 , -1 , 0 , 1 , 3 , 9}
Answer:
domain = {-6,-7,-7,-7}
Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.
Answer:
a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.
b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.
Step-by-step explanation:
Which of the following is the inverse of F(x) = -2x + 3?
Answer:
D
Step-by-step explanation:
y=-2x+3
y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.
Answer:
c
Step-by-step explanation:
SEE QUESTION IN IMAGE
Answer:
1.54
Step-by-step explanation:
First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as
1.67 = sum / 20
1.50 = sum / 16
1.40 = sum / 14
Multiplying each equation by the number of students in the group to isolate the sum, we get
1.67 * 20 = 33.4
1.50 * 16 = 24
1.40 * 14 = 19.6
We can sum these up to get the total sum of all three groups of students, resulting in
33.4 + 24 + 19.6 = 77
As mean = sum / number of students, we can say that
total mean = total sum / total number of students
total mean = 77 / (20+16+14)
= 77/50
= 1.54
more geometry help :)
Answer:
Step-by-step explanation:
Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.
A(-3 , 2) A'(-3*8 , 2 * 8) = A' (-24 , 16)
B(2,1) B'(2*8 , 1*8) = B'(16,8)
C(-1,-3) C'(-1*8,-3*8)= C'(-8,-24)
Answer:
see explanation
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8
A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )
B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )
C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )
Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)
The points on the graph ( b , c )
I hope I helped you ^_^
SOMEONE HELP ME PLEASE
here's the answer to your question
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven