The correct answer is 317.
The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The series is,
⇒ 16, 20, 25,
Now, We get;
Common ratio = 20 / 16 = 5 / 4
And, 25 / 20 = 5 / 4
Thus, The series is geometric series.
Hence, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)
⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)
⇒ S₈ = 16 × 4 (325,089 / 65,536)
⇒ S₈ = 317.46
⇒ S₈ = 317
Thus, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
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which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1
Answer:
y=x-3
-1=2-3=-1
............
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 8 meters?
Answer:
314.96in
Step-by-step explanation:
What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)
Answer:
[tex]y = -\frac{21}{2}x+5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
Required
The equation in slope intercept
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
So:
[tex]m = \frac{-16 - 47}{2 - -4}[/tex]
[tex]m = \frac{-63}{6}[/tex]
Simplify
[tex]m = -\frac{21}{2}[/tex]
So, the equation is calculated as:
[tex]y = m(x - x_1) + y_2[/tex]
This gives:
[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]
[tex]y = -\frac{21}{2}(x+4) + 47[/tex]
Open bracket
[tex]y = -\frac{21}{2}x-42 + 47[/tex]
[tex]y = -\frac{21}{2}x+5[/tex]
A card game requires that you have a sum of 5 in order to win. Based on the cards shown below, will Cameron win the game? Look at the picture above
Answer:
D
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
can we go with D. 54 ?
the height and length is 9 and 6
9x6= 54
Answer:
B . 27 square units
Step-by-step explanation:
Area of triangle is 1/2 ×b×h
base is MN = 6 units
hight is 9 unis
so 1/2 ×6×9 = 3×9 =27 square Units
40 POINTS!!!
Which polynomial contains the powers in descending order?
Answer:
B.
Step-by-step explanation:
SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!
Answer:
x = 5, y = 5
Step-by-step explanation:
The scale changes from 8 to x+y
to find the change in scale, use the bottom values.
2 + 3 = 5 | 1 + 3 = 4
5/4 = 1.25 (the scale)
8 * 1.25 = 10
x+y = 10
There are 2 possibilities for this, but I feel like it is possibility #1
1. x = 5, y = 5
2. x = 4, y = 6
what is the value of the expression below? (64^3)^1/6
Answer:
(64^3)^(1/6)
=(64)^(3×1/6)
=(64)^(1/2)
=(8^2)^(1/2)
=(8)^(2×1/2)
=8^1
=8
8 is the correct answer of your question...
Answer:
8
Step-by-step explanation:
Remember the phrase "power to a power means to multiply the exponents"
That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number x raised to the power of the product of those two powers.
[tex](x^a)^b = x^a^b[/tex]
Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):
[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]
Or more simply,
[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]
So in this case:
[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)
What is Bc and what is ac
Answer:
Before and after current era
Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The discount on new camera bought by Amelia = 30%.
To find the number that Amelia should multiply to pay,
Let The required number be x,
and total price of the camera is 100%
So after discount the price of camera = 100 - 30 = 70%
Implies that,
100 × x = 70
x = 70 / 100
x = 7 / 10
So the required number is 7/10 that Amelia should multiply the price she would have to pay.
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help with this math assignment
Subtract. 82.6 - 27.9
Answer:
the answer is 54.7
Step-by-step explanation:
82.6 - 27.9 = 54 7
What is the area of the figure . Round to the nearest tenth.
Answer: its 40.0 m²
Step-by-step explanation:
A=wl=4·10=40.0 m²
your welcome
Answer:
the answer is D
Step-by-step explanation:
Suppose a student typically spends 5/2 hours each week doing research on the Internet. How much research time does a student spend each device in 1 week?
Answer:
Step-by-step explanation:
5/2 hours = 2 1/2 hours
2 1/2 hours = 120 minutes + 30 minutes = 150 minutes.
I don't know if he has more than 1 device or not. But if he does, then this time is the base and you just multiply by 2 1/2 for each device.
Answer:
Solution given:
a student typically spends 5/2 hours each week
research time does a student spend each device in 1 week=5/2=2hours and 30min=150minutes
Help please!! Due in 10 min
Answer:
Hello Answer: V = 20
Step-by-step explanation:
Hope this helps!
9514 1404 393
Answer:
v = 20 ft
Step-by-step explanation:
The similarity statement tells you the proportional sides:
IH/IK = IG/IJ
v/(10 ft) = (16 ft)/(8 ft)
v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2
v = 20 ft
hewp pwease ☺️thanks
The Answer Is 35 Inches Squared
Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00.
Answer:
7.4
Step-by-step explanation:
10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2
y = 1
Step-by-step explanation:
Answer:
x= 2
y= -1
Step-by-step explanation:
A
Cylindrical container with Circular base
is hold 64 cubic centimetres. Find the
dimension so that the amount(surface area)
of metal required is a minimum when
( a ) the container is an open cup and ( b ) a
Closed can
Answer:
annhbhhnnnnnnbhhhbbbbbbbbbbbbbbbbbbbbbbbnbnnnnnnnnnnnnnnnnnnnnnn 24cm2
!NO LINKS, NO FILES!
please :)
Answer:
132
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2}[/tex]
where b = base and h = height
The following triangle has a base length of 33 m and a height of 8 m
Using this information we plug in the values into the formula
[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]
hence, the area of the triangle is 132 square meters
Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
Answer:
Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.
What is the volume of a rectangular prism with the dimensions
Para calcular el volumen de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.
Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5
Answer:
The amplitude is 1
Step-by-step explanation:
Given
The right function is:
[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
Required
Determine the amplitude
The general cosine function is:
[tex]y = A\cos(k(x + c)) +d[/tex]
Where
[tex]Amplitude = |A|[/tex]
Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
[tex]A = 1[/tex]
So:
[tex]Amplitude = |1|[/tex]
So, we have:
[tex]Amplitude = 1[/tex]
⚠️PLEASEEEEE HELPPPPPP !!!
Answer:
38
Step-by-step explanation:
I'm pretty sure its just the same
Find the volume of the composite solid shown in figure
Answer:
113.14cm^3
36π cm^3
Step-by-step explanation:
the composite solid is made up of a cylinder and a hemisphere
volume of solid = volume of cylinder + volume of hemisphere
volume of a cylinder = nr^2h
n = 22/7
(22/7) x (3^2) x 2 = 56.57 cm^3
or in terms of pi = 18π
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x (3^3) = 56.57 cm^3
or in terms of pi = 18π
volume of solid = 56.57 cm^3 x 2 = 113.14cm^3
or 18π x 2 = 36π cm^3
56.57
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.3 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03
Answer:
A sample of 383 would be required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.3.
This means that [tex]\pi = 0.3[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?
A sample of n is needed.
n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]
[tex]n = 382.3[/tex]
Rounding up:
A sample of 383 would be required.
Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12
Answer:
3 1/2 - 1 4/6= 1 5/6
Step-by-step explanation:
Help sue at 12am and it’s 10 pm
..........plsssssssssssssssss
Answer:
a = 4
b = 5
c =6
Step-by-step explanation:
i hope it helps
the answers are absolutely correct
ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?
Answer:
I'm sorry I can't help because I don't know what part is shaded. Note: Since a square has the same length for each side all the sides are 16 cm.
Area and Perimeter for WHOLE square:
A: 256 sq cm
P: 64 cm