Answer:
a₃₂ = - 59
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then
[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5
Then
a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59
Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
[tex]g(x)=x^4-3x^3-x[/tex]
The derivative of the function g(x) is calculated below
[tex]g'(x)=4x^3-9x^2[/tex]
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
[tex]4x^3-9x^2=12[/tex]
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
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Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old
Solve: 6 -0.2x = 2 (6 -0.6x)
A. x=0
B. There are infinitely many solutions.
C. x = 6
D. x = 18
Question 8 of 10
What is the length of PR?
A. 9
B. 63
C. 11
D. 7
Answer:
b
Step-by-step explanation:
Answer:
C. 7
Step-by-step explanation:
got it right on the quiz.
Brainliest?
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?
Answer:
$36
Step-by-step explanation:
$13 babysitting, $9 saved.
$52 babysitting, $x saved.
Cross multiply
13/13x=468/13
Divide both sides by 13
x=$36
PLEASE HELP THIS IS DUE TOMORROW
Answer:
Step-by-step explanation:
As long as he's hired by someone, roughly how much can James earn in a month from his part-time job? Assume that his net pay is $8/hour and assume 4.5 weeks
Answer:
36
Step-by-step explanation:
8 * 4.5 = 36
James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
What is net earnings of James?
Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.
Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be
[tex]\rm James\ income =8\times 4.5\times 7[/tex]
[tex]\rm James\ Income= 252[/tex]
Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
To know more about income follow
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anyone ?????????????
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
please help me out for a brainlist
Answer:
22.50
Step-by-step explanation:
2.50x6=15+7.50=22.50
Answer:
$22.50
Step-by-step explanation:
well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50
What are the domain and range of the real-valued function f(x)=2/x?
Answer:
here is your answer for the question
What is QUzXTY . . .
Answer:
ANSWER MEEEEE
Step-by-step explanation:
What is (-2) power 5?
Answer:
-32
PA BRAINLIEST
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
-2 to the power of 5 is -32
!! WILL GIVE BRAINLIEST AND 6 THANKS ON ALT ACCOUNT!!
The answer is 150. I just need to know the explanation to get the answer. If you give a good and understandable answer, I will give what was listed in title.
Please don't troll, I really need this.
On Fan Appreciation day, fans will be receiving free gifts. Every person Who passes through the turnstyle gets a team cap. Every second person through will get a pennant. Every sixth person gats a bat. Every 25th person gets an autographed baseball. Which person is the first one to get all the free gifts?
23. Multiple Choice Luis wants to make a deck that is similar to one that is 10 feet
long and 8 feet wide. Luis's deck must be 18 feet long. What must its width be?
A 20 feet
B 16 feet
C 14.4 feet
0 22.5 feet
Shane is an a baseball team. He averages 6 hits in 30 times at bat. How many hits should you expect him to have after 180 times at bat
what is the answer ?????
Q. 1 [tex] \frac{19}{20} \times 100 = 19 \times 5 = 95\% \\ [/tex]
Q. 2). 30 - 24 = 6
[tex] \frac{6}{30} \times 100 = \frac{1}{5} \times 100 = 20 \\ [/tex]
Where do i plot the points? Need help ASAP!
Answer:
Plot at (8,2)
Step-by-step explanation:
what is the answer to this problem its too hard -36= - w/8
Answer:
w=288
Step-by-step explanation:
-36=-w/8
-36•8=-w
-288=-w
w=288
Simplify 3 (x - 5) by distributing.
Answer:
3x - 5
Step-by-step explanation:
Which is the best estimate?
Last week, Byron bought 5 containers of yogourt and spent $12.88 on other groceries.
This week casandra bought 3 containers of the same yogourt and spent $11.50 on other groceries. How much more money did byron spend than casandra
Answer:
Byron spent 0.62 cent more than Casandra.
Step-by-step explanation:
It says how much more money did Byron spend than Casandra?
So you have to take how much Byron had and subtract it by how much Casandra had.
$12.88 - $11.50 = $0.62
And that's how you get your total on how much more did Byron spend than Casandra.
Write an equation for a line with a slope of (-2) and the point (5,9)
Answer:
2x+y-19=0
Step-by-step explanation:
Slope = -2
The line passes through the points (5,9)
The equation of the line is
y-9 = -2(x-5) (Gradient and 1 point form)
y-9 = -2x+10
2x+y-19 = 0
6.3(1 + f) =
6.3(1 + f) =
Answer:
63 times (f+1)/ 10
Step-by-step explanation:
* Simplify 63 over 10
* 63 over 10 times (f+1)
= 63 times (f+1) over 10
what is the value of m in the figure below?
==========================================================
Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
------------
Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
give the equation of the horizontal asymptote of the function shown below. g(x)=2x/x+5
Answer:
y=2
Step-by-step explanation:
Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.
Brainliest)
There are 12000 fish in a lake. Because of pollution, the number of fish halves every year. What will be the population of fish after 5 years?
help
Answer:
375 fishes
Step-by-step explanation:
12000 divided by 2 is 6000 1st year
6000 divided by 2 is 3000 2nd year
3000 divided by 2 is 1500 3rd year
1500 divided by 2 is 750 4th year
750 divided by 2 is 375 5th year
1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?
Answer:
20000
Step-by-step explanation:
Answer: 30,000 feet
Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.
what is the sum of the polynomials
(8x^2-9y^2-4x) + (x^2-3y^2-7x)
Answer:
[tex]9x^{2} - 12y^{2} - 11x[/tex]
Step-by-step explanation:
[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]
In the first step, I rearranged the equation and put like terms together.
Then I just combined the like terms.
I hope this helps!
How do you know if a situation represents
a proportional relationship?