Answer:
[tex]S_{10} = 3069[/tex]
Step-by-step explanation:
Given
[tex]Sequence = \{3, 6, 12, 24, 48...\}[/tex]
Required
Determine the sum of the first terms
First, we calculate the common ratio (r)
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{6}{3}[/tex]
[tex]r = 2[/tex]
The required sum is:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Substitute 3 for a, 2 for r and 10 for n
[tex]S_{10} = \frac{3(2^{10}-1)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1024-1)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1023)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1023)}{1}[/tex]
[tex]S_{10} = \frac{3069}{1}[/tex]
[tex]S_{10} = 3069[/tex]
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
Ms. Tompkins had an amount of money in the bank. After she deposited $100, she had at least $550 in the bank. how much money did Ms. Tompkins have in the bank originally?
i need explanation pls , ty
Answer:
at least $450
Step-by-step explanation:
Let the amount she has in bank before depositing be x
If she had at least $550 in the bank after depositing, then;
x + 100 ≥ 550
Get the initial amount in bank
x ≥ 550 - 100
x ≥ 450
Hence the amount she has in the bank originally was at least $450
Work out surface area of this sphere give your answer in to 1 DP
Answer:
84.9
Step-by-step explanation:
SA: 4×pi×r^2
the radius is the line (2.6cm)
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Answer:
nice picture bro
Step-by-step explanation:
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D
Answer:
c 4
Step-by-step explanation:
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
Please find X............
Answer:
[tex]x=45.57^{\circ}[/tex]
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
Base = 7
We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :
[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]
So, the value of x is [tex]45.57^{\circ}[/tex].
what is the meaning of the following data? 101, 143, 132, 155, 166
Answer:
it depends on what you're doing
what's the name of the topic
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
⚠️PLEASE HELP⚠️
based on the graph, what the initial value of the linear relationship?
A. -4/5
B.0
C.4
D.5
Answer:
C. 4
Step-by-step explanation:
The question is asking for the y-intercept which is the point where x = 0.
What is the simplest form of 4/3
Answer:
43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:
Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
What is the volume of the rectangular prism?
Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3
Answer:
3 1/3 FT 3
Step-by-step explanation:
im not sure if this right but i tried lol
Answer:
There is not enough info you need to add a picture of the box to measure it.
How to get 6/9 as a decimal using division help
PLEASEHELP!
ANSWER CHOICES:
A)189
B)329
C)161
D)84
Answer:
329
Step-by-step explanation:
Can someone please explain how I apply SOHCAHTOA properly to this?
Answer:
e
Step-by-step explanation:
Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)
Sarah has 782 stickers in her sticker book. It took 8 stickers to fill one page. She filled each page before putting stickers on another page. How many full pages of stickers does Sarah have
Answer:
97
Step-by-step explanation:
if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.
What is the vertex for y=x^2-3+2
Answer:
-1
explanation:
because I used a graphing calculator
What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
ОО
7
O 14
48
On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?
Kevin reads 8 pages in 15 minutes. If he reads at a constant rate, how long will it take him to read 20 pages? 65PTS!!
Answer:
37.5 minutesStep-by-step explanation:
Use page/min ratio to solve:
8/15 = 20/xx = 20*15/8x = 37.5 minutesAnswer:
37.5 minutes I think
Step-by-step explanation:
Alex and Amber are both saving money for a
summer vacation. Alex has already saved $100 and
plans to save $25 per week until the trip. Amber has
$75 and plans to save $30 per week. In how many
weeks will Alex and Amber have the same amount of
money?
19 points!
Step-by-step explanation:
25*x+100=30×x+75
25=5x
x=5
Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?
Answer:
27 years oldStep-by-step explanation:
Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? SolutionDaniel = d, Sara = s, Luke = l, Rachel = r
We get below relations:
d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45sSum of ages:
d + s + l + r = 141Substitute and solve for s:
0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60Rachel's age is:
r = 0.45*60 = 27Help me I'm too tired to think and this is easy.
Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)
Answer:
equal to
Step-by-step explanation:
two negatives equals positive
Answer:
Equal
Step-by-step explanation:
Double negative equals a positive. Gn
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer: 50%
Step-by-step explanation:
The shaded portion is half of 100
Answer: 50%
Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.
