The sum of the geometric sequence is 88,573.
The formula for the sum of a geometric sequence is
S = a₁(1 - rⁿ)/(1-r),
where a₁ is the first term of the sequence, r is the common ratio between terms, and n is the number of terms in the sequence. In this case, the first term is a₁ = 1, the common ratio between terms is r = 3, and the number of terms is n = 10. Inserting these values into the formula,
we get S = 1(1 - 3⁹)/(1-3) = 1(1 - 19,683)/(-2) = -9,841.5.
Therefore, the sum of the geometric sequence is 88,573.
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A line passes through the points (-1, 4) and (3, -8). A second line passes through
(-1,8) and (2, 11).
A) Write the equation of each line. Show all work.
Answer:
y = -3x + 1, y = x + 9
Step-by-step explanation:
An equation consists of a slope and the y-intercept. To find the slope, you need to plug the values into the slope formula.
y2 - y1/ x2 - x1
= -8 - 4/ 3 - (-1)
= -12/ 4
= -3
The slope of the first line is -3.
To find the y-intercept, you need to plug in either one of the coordinates into the equation, y = -3x + b
-8 = -3(3) + b
-8 = -9 + b
1 = b
The equation, for the first one, is y = -3x + 1
Line 2:
11 - 8/ 2 - (-1)
= 1
y = 1x + b
11 = 1(2) + b
11 = 2 + b
9 = b
y = x + 9
What is the length of AB⎯⎯⎯⎯⎯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. cm A horizontally-aligned scalene triangle A B C. Side A C is labeled as 18 centimeters. Side B C is labeled as 12 centimeters. Angle C is labeled as 79 degrees.
Answer:
AB = 19.6 cm
Step-by-step explanation:
Let AB be represented by c. Applying the cosine rule, we have;
[tex]c^{2}[/tex] = [tex]a ^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C
= [tex]12^{2}[/tex] + [tex]18^{2}[/tex] - 2(12 x 18) Cos [tex]79^{o}[/tex]
= 144 + 324 -432(0.19081)
= 468 - 82.4299
[tex]c^{2}[/tex] = 385.5701
c = [tex]\sqrt{385.5701}[/tex]
c = 19.6359
The side AB of the given triangle is 19.6 centimetres.
Answer:
19.6
Step-by-step explanation:
took the quiz. Shows correct
what is the same as 8/9?
Answer:
8×1/9
Step-by-step explanation:
It is same as 8/9 because 8×1=8
What’s the diameter of a circle that had a radius of 4cm
Answer:
8
Step-by-step explanation:
Answer is =8cm
Step-by-step explanation:
d=2r=2·4=8cm
please please help it's timed!
determine the value of y, if x is 7.
[tex]y=x^2-1[/tex]
Answer:
y = 48
Step-by-step explanation:
Plug in 7 for x:
y = x² - 1
y = (7)² - 1
Simplify. Remember to follow the order of operations, PEMDAS.
PEMDAS stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
~
First, solve the power, then subtract:
y = (7)² - 1
y = (7 * 7) - 1
y = (49) - 1
y = 48
48 is your value for y.
~
Find the perimeter of a room with a length of 28 ft. and a width of 19 ft.
Answer:
98 ft
Step-by-step explanation:
28x2 + 19x2
=98
Answer:
Is the room a rectangle size? If so:
28 + 28 = 56
19 + 19 = 38
56 + 38 = 94 ft.
Opposite sides are parallel and equal:
therefore whenever there is two given lengths make sure to multiply them two times then add them together if only its a rectangle.
if its a square make sure to multiply the given length 4 times.
What fraction describes the probability for two coins being tossed at the same time to both land on heads?
3/4
1/4
1/2
Answer: 1/4
Step-by-step explanation:
A coin has two outcomes which are either the head or the tail. When a coin is tossed, the probability of getting a head is 1/2 and likewise for a tail.
Therefore, the probability for two coins being tossed at the same time to both land on heads will be:
= 1/2 × 1/2
= 1/4
Answer:
1/4
Step-by-step explanation:
Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
is written in its simplest form.
Answer:
10, 5, 19
Step-by-step explanation:
Recall that
[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
So we can multiply the fraction by
[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]
And get
[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]
Find the measure of the angle indicated
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
find the measure of each interior angle of a regular polygon with the following number of sides 10
Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
Which table has a constant of proportionality between y and 2 of 0.6?
Choose 1 answer:
radius of a cone with a volume of 100.48 yds3 and a height of 6 yds
Answer:
r = 4
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
V = 100.48
h = 6
π = 3.14
Work:
V = πr²(h/3)
100.48 = r²(3.14)(6/3)
100.48 = r²(3.14)(2)
100.48 = r²6.28
r² = 100.48/6.28
r² = 16
[tex]\sqrt{r^2} =\sqrt{16}[/tex]
r = 4
Can someone help me with this one too please
Answer:
1) f - 2
2) 45 + b
3) s - 82
4) 52c
5) t/5
Answer:
1) f-2
2) 45+b
3) s-82
4)52c
5)t/5
8 2/3 + (-2 1/12)=
what would that be
Answer:
307/12
(Decimal: 25.583333)
Step-by-step explanation:
Heart if this helped
Find the surface area of a square pyramid with side length 6 yd and slant height 6 yd.
Answer:36
Step-by-step explanation:
.
describe the correlation in the scatterplot below
The first bubble options are positive linear, positive linear with one outlier, negative linear, negative linear with one outlier, nonlinear ,and no.
the second bubble options are decrease , increase, show no pattern and follow a linear pattern
Answer:
'no' and 'show no pattern'
Step-by-step explanation:
with scatter plots like these, there is no exact information at all, what so ever
Answer:
linear positive/ follow a linear pattern
Step-by-step explanation:
Match each value to the correct expression.
Answer:
1. 27
2. 27
3. 15
Step-by-step explanation:
The solution of the the given three expressions are 27, 22, and 15, respectively.
What is PEMDAS?PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
The given mathematical expressions can be solved as shown below.
1 + 5 · 2 + (1 + 3)²Step1: Solving Parenthesis first,
= 1 + 5 · 2 + (4)²
Step2: Exponents,
= 1 + 5 · 2 + 16
Step3: Multiplication,
= 1 + 10 + 16
Step4: Addition,
= 27
4 + 8[(1/4) + 2]Step1: Parenthesis
= 4 + 8(2.25)
Step2: Multiplication,
= 4 + 18
Step3: Addition,
= 22
0.25 · 4³ - 1Step1: Exponents,
= 0.25 · 64 - 1
Step2: Multiplication,
= 16 - 1
Step3: Subtraction,
= 15
Hence, the solution of the the given three expressions are 27, 22, and 15, respectively.
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khan academy - 6th grade advanced
Answer:
its b
Step-by-step explanation:
Which is NOT true? 5 + 14 = 20 - 1 9 + 5 = 7 + 7 15 = 4 + 11 15 - 9 = 9 - 4
Answer:
5+14=20 is not true
Step-by-step explanation:
5+14=19 not 20
Answer:
5+14=20 is not true
Step-by-step explanation:
5+14=20 is not true
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1067.22
Step-by-step explanation:
A = P(1 + rt)
A = £990(1 + 0.026*3)
A = £1067.22
Mark brainliest if this helped!
Mark brainliest if this helped!
You buy a used car for $12,000. The value of y of the car decreases by 15% each year. Find the value of the car in: a. 1 Year
Step-by-step explanation:
12 000 × 15/100
= $1 800
value of the car = 12 000 - 1 800
= $ 10 200
Expand and simplify 4(2x+3)-(5x-1)
The point (3,2) reflected in the x-axis is (
,
).
Question 2
b. Reflect (3,2) in the y-axis.
The point (3,2) reflected in the y-axis is (
,
).
Answer:
the answers below:
1: (3,-2)
2: ( -3,2)
Riley invested $5,100 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 % compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded daily. After 7 years, how much more money would Riley have in her account than Ryan, to the nearest dollar?
Answer: 257
257 in delta math
Step-by-step explanation:
After 7 years, Riley would $441.5 more have in her account than Ryan.
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Given that Riley invested $5,100 in an account paying an interest rate of [tex]7\tfrac{3}{4}[/tex]% compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of [tex]7\tfrac{1}{4}[/tex] % compounded daily, we need to find that after 7 years how much more money would Riley have in her account than Ryan,
[tex]A = P(1+r/n)^{nt[/tex]
Where A = amount
P = principal
r = rate
n = number of times the amount is compounded and t = time
Riley = compounded quarterly,
[tex]A = P (1 + r / 4)^{4t[/tex]
[tex]A = 5100(1+0.019375)^{4(7)}\\\\A = 5100(1.019375)^{28}\\\\\\[/tex]
[tex]A = 8728.13[/tex]
Therefore, in 7 years Riley has $8728.13.
Ryan = compounded daily,
[tex]A = P (1 + r / 365)^{365t[/tex]
[tex]A = 5100(1 + 0.00019)^{356(7)}\\\\A = 5100(1.00019)^{2555}\\\\A = 8286.64[/tex]
Therefore, in 7 years Ryan has $8286.64.
Riley will have $441.5 more.
Hence after 7 years, Riley would $441.5 more have in her account than Ryan.
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find the missing number in each below
1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)
pasagot po plss
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x + 1 = 0
ILL MAKE YOU BRAINLEST JUST HELP
Answer:
i only know one answer which is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think b and d
Help me solve this pls!!
5+ 8 x-3=
PLZZ HELPPPP?!?!?!??!?!?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE HELP! this is a 4 part problem but here is the last part :)!!!
find the slope-intercept equation of the line that passes through (-7,2) and had a slope of 0
Answer: Y=0x+b
Step-by-step explanation:
Y=mx+b is what we need to set it to.
Since we already know the slope, we can go ahead and find the y-intercept to complete the equation
(-7,2), here -7 is the x and 2 is the y value
y=mx+b
plug all the known information now and solve for b (y-intercept)
y is 2, m (slope) is 0, x is -7
2=0(-7)+b
2=0+b
2=b
y=0x+2 or simply y=2
Answer:
y = 2
Step-by-step explanation:
The line is a horizontal line thru (-7, 2)
Equation: y = 2