Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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Combine the Expression:(10x - 4) + (-7 + x)
Answer:
11x-11
Step-by-step explanation:
(10x-4)+(-7+x)
10x-4-7+x
11x-11
Answer:
11x-11
Step-by-step explanation:
10x+x=11x
-4+(-7)=-11
11x-11
if this is right a brainliest would be very appreciated!
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.
Answer:
(C)The relationship is multiplicative because the number of gallons can be
found by multiplying the number of minutes by 8.
Step-by-step explanation:
Given the table below which shows the relationship between the number of minutes that a hose has been on and the number of gallons of water that have been added to a plastic pool.
[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]
We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be found by multiplying the number of minutes by 8.
The correct option is C.
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
A. m/8
b. m-8
c. 8m
d. 8÷m
Answer:A Idk if this is right!
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
Solve the equation in the image
Answer: 55
Step-by-step explanation:
[tex]\sqrt[3]{4x-4}=6[/tex]
Begin by cubing each side of the equation to get rid of the cubic root.
[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]
add 4
[tex]4x-4+4=216+4\\4x=220[/tex]
Divide by 4
[tex]\frac{4x}{4}=\frac{220}{4}[/tex]
[tex]x=55[/tex]
Answer:
it is zero
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero
Answer: b
Step-by-step explanation:
4ab
[tex]a>0[/tex] a will always be positive.
[tex]b<0[/tex] b will always be negative.
4(a)(-b)
-4ab
Answer:
the answer is A
Step-by-step explanation:
khan said so
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
Which choice is equivalent to the expression 4(x+2y)? I need it right now please!
Answer:
4x+8y
Step-by-step explanation:
you use distributive property
you multiply 4 times x
and 2y times 4
hope this helps
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
Learn more about factorization at: https://brainly.com/question/6810544
-4x -4y=-5
12x + 12y =15
What do the following equation represent
Answer:
x=5/4 -y
Step-by-step explanation:
12x-12x 12x-12x 12 divided by 0 = undefined
subtract 12 from both sides of the equation then divide by 12.
so the answer would be:
y= 5/4 -x
please help me!!!!!!!!!!
Answer:
(1,4)
(2,6)
(3,8)
(4,10)
(5,12)
Step-by-step explanation:
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
PLSSSS help
Marking BRainlist
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
If a data value in a normal distribution has a negative z-score, which of the following must be true?
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
Please help me I have to go to a class and I need this fast
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
PLEASEEE HELP
Which table represents a linear function
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
