Answer:
[tex]S_6=189[/tex]
Step-by-step explanation:
This is a geometric series with [tex]a_1=3[/tex] and common ratio [tex]r=2[/tex]. Using the formula [tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}[/tex] to find the sum of the first [tex]n=6[/tex] terms, we have:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_6=\frac{3(1-2^6)}{1-2}\\\\S_6=\frac{3(1-64)}{-1}\\\\S_6=\frac{3(-63)}{-1}\\\\S_6=\frac{-189}{-1}\\\\S_6=189[/tex]
So, the given series works out to be [tex]S_6=189[/tex].
What is the solution to the system of equations? (You can either do the substitution or elimination method) x - 2y = 19 x + 3y = 14 (1.-17) (-1, 17) (-17, 1) (17,-1)
Answer:
D. (17,-1)
Step-by-step explanation:
We'll start by canceling out x. To do so, multiple the first equation by -1
-1( x - 2y)=( 19 )(-1)
This gives us:
-x +2y = -19
x + 3y = 14
Add the equations together:
→ 5y = -15
→ y = -1
Plug in y = -1 into an equation:
→ x + 3(-1) = 14
→ x - 3 = 14
→ x = 17
(17,-1)
Hope this helps!
Brad weighs 125 pounds. How could you change 125 pounds
to tons
If tan theta=8÷15 find sin theta+cos theta÷cos theta (1- cos theta)
Answer: 371/30
Step-by-step explanation:
A 24-foot ladder leans against a wall the base of the ladder is 9 feet from where the wall meets the ground how far up the wall does the ladder reach ?
Answer
24*9= the answer
Step-by-step explanation:
Guys, I have a question.
Will I still pass if I got a C+ in terms 1, 2, and 3?
Because I got C+ in terms 1 and 2 and I'm scared to fail so can anyone tell me if I will fail or pass if I got a C+ in term 3, and motivate me and make me confident?
C+
if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it
Evaluate the following when n = 7: 5(n - 5)
Hey! there
Answer:
10 is the answerStep-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is ❝ 10 ❞#Keep LearningStep-by-step explanation:
Answer:
10 is the answer
Step-by-step explanation:
In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .
And we are asked to evaluate the expression .
SOLUTION : -
Expression :
[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]
We are substituting value of n as 7 :
[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]
Solving parenthesis that is subtracting 5 from 7 :
[tex] \quad \longmapsto \qquad \:5(2)[/tex]
Now we are multiplying 5 with 2 and We get :
[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]
Henceforth , value of expression when n is equal to 7 is 10
Need answers quick pleaseeee!!
Answer:
The measure of its complementary angle is 3.
Step-by-step explanation:
A car salesman has determined the probability of a person purchasing a car with cash is p = 0.08. Which term best describes the probability of this event?
Correct answer is B. Very Unlikely
Hope this helps :P
In Autobiography by Abraham Lincoln and the Life of Abraham Lincoln by John Hugh Bowers, each author tells the same story about Lincoln's life, but they provide different_________.
A settings
B. dialogue
C. facts
help me please :( i need help
Answer:
B
Step-by-step explanation:
Use the expression PEMDAS
It helps to know what do to first
Parenthesis Exponent Multiply Divide Add Subtract
Kara’s car used 1/16 gallons of gas to drive 1/8 of a mile at this rate how many miles can Kara’s car drive using one gallon of gas
what are the domain and range of the function represented by the set of ordered pairs?.
Answer:
a
Step-by-step explanation:
domain is based on x values in the front
range is based on y values in the back
2.5 divided by 0.5 what would that be
Answer:
1.25
Step-by-step explanation:
1/2 of 2.5 is 1.25
Think of it as the following
250 divided by 2 is 125 because 125+125=250
Answer:
5
Step-by-step explanation:
2.5 divided by 0.5 would = 5
A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.
What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?
Enter a number in the box.
P(outdoor | non−fiction)= _%
Answer:
11% of people preferred outside and non-fiction
Step-by-step explanation:
Table attached,
10/90 = 0.11
0.11 = 11%
The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.
What is the percent?The first step is to determine the total number of people that like fiction: 24 + 30 = 54
Now, determine the total number of people that like non-fiction: 90 - 54 = 36
The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26
The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10
Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%
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I need a bit of help with this question so please if you could answer:
To the nearest hundredth, what is the value of x?
Use a trigonometric ratio to compute a distance
59.72
56.35
35.94
27.08
Check the picture below.
Make sure your calculator is in Degree mode.
Find the domain and range of the given relation (6,3), (-7,-3), (-4,1), (1,-4)
Answer:
Step-by-step explanation:
The domain are all the x values
(-7,-3), (-4,1), (1,-4), (6,3)
x here is from -7 to 6
domain ∈ [-7, 6]
The range are all the y values
(1,-4), (-7,-3), (-4,1), (6,3)
y here is from -4 to 3
range ∈ [-4, 3]
What equation describes the graph?
Answer:
C. y = 3x -2
Step-by-step explanation:
y = mx + b
start with b, the y-intercept, which is -2.
Next find m, the slope. From -2 on the y-axis you are going to find the slope by doing rise/run. You will rise 3 units and run 1 unit to get to the next point on the line.
The equation is y = 3x -2
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)
Answer:
24 Cups
Step-by-step explanation:
you just need to divide 6 by 1/4, whihc equals 24/1
Which represents the complete factorization of 3v2 + 9v ?
Answer:
3v2 + 9v = 3v(v + 3)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the complete factorization of 3v²+9v?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.
Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-
3v(v+3)
Good luck.- - - - - - - - - - - - - - - - - - - -- - - - - - - - -
What is the value of x?
Enter your answer in the box.
X =
Answer:
26°
Step-by-step explanation:
x + 64° = 90° ( being complementary angles)
x = (90 - 64)°
x = 26°
Answer:
x = 26°
Step-by-step explanation:
x + 64° = 90° [right angle]
x = 90° - 64°
x = 26°
Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
Polygon with exactly one line of symmetry label the line of symmetry
Answer:
Kite
Step-by-step explanation:
Kite. A kite has one line of symmetry
9x-3-8x=7-x solve for x
Answer:
x = 5
Step-by-step explanation:
Simplify both sides :
9x - 3 - 8x = 7 - xx - 3 = 7 - xAdd 3 to each side :
x - 3 + 3 = 7 - x + 3x = 10 - xAdd x to each side :
x + x = 10 - x + x2x = 10Divide by 2 on each side :
2x/2 = 10/2x = 5Answer:
x = 5Step-by-step explanation:
9x-3-8x=7-x solve for x
9x - 3 - 8 x = 7 - x
x - 3 = 7 - x
2x = 10
x = 10 : 2
x = 5
-----------------
check
9 * 5 - 3 - 8 * 5 = 7 - 5
2 = 2
the answer is good
How do you solve for x?
..........................
2. Mary has saved $160 of the $250 she needs for rent.
She takes home $6 an hour from her part-time job.
Mary works the same number of hours each day for 3
days. How many hours does Mary have to work each
day to take home enough money to pay the balance
of her rent?
F. 3 hours
G.
4 hours
H.
5 hours
J.
6 hours
K
7 hours
Answer:
H - 5 hours
Step-by-step explanation:
We can setup an equation to solve the question.
Let [tex]h[/tex] be the number of hours Mary must work.
[tex]250 = 160 + 3(6h)[/tex]
250 - the amount of money Mary needs
160 - the amount of money Mary has saved already
3 - How many days she works
6h - How much she gets paid per day
[tex]250 = 160 + 3(6h)\\90 = 3(6h)\\90=18h\\5=h[/tex]
This means Mary must work 5 hours each day to pay her rent.
What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...
PLEASE HELP ME WITH THIS!! I NEED HELP
Answer:
It would be d
Step-by-step explanation:
Its d because its in a staright line
Answer:
D.
Step-by-step explanation: the rest are either non-linear , have no correlation, have a curvilinear relationship, or have no association.
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The points that are correct about the given inequality 2(8/9)≥x are:
The graph contains the point 0There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.The arrow points to the left.Hence, the options that are correct about the given statement are B, C, and D.
Learn more about Inequality:
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The answer in the calculation for this answer is incorrect.
120 = 12x
x=12 is not accurate -- it should be 10
Answer:
10
Step-by-step explanation:
it is 10 I jus did it 120 =12 x x =12 10
Jade thinks the area m•6+m•8. Arianna thinks the area is m(6+8). How can they both be correct?
HELP PLEASE HELP ME!!!
Answer:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40
Step-by-step explanation:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40