Answer:
C.-85
Step-by-step explanation:
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The nth term of an arithmetic sequence.
= a + (n - 1)d
The 61st term of the sequence is 85.
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,
-5, -7/2, -2, -1/2, 1
a = -5
d = -7/2 + 5
d = 3/2
Now,
The nth term of an arithmetic sequence.
= a + (n - 1)d
Now,
n = 61
61st term:
= -5 + (61 - 1)(3/2)
= -5 + 60 x 3/2
= -5 + 30 x 3
= -5 + 90
= 85
Thus,
The 61st term of the sequence is 85.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
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If the value of a in the quadratic function f(x) = ax^2+bx+c is 1/2 the function will:
lessen it data
and it will become a bigger eqaution
Answer:
open down and have a maximum
Step-by-step explanation:
I took the quiz got it right
help me quick!!!..!..!
Answer:more info needed
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $2000 in the account in 10 years? Assume the account earns 2% interest compounded monthly
Step-by-step explanation:
A(t) = amount in t years
P = Principal (original investment)
r = annual interest rate (in decimal form)
n = number of times that interest is compounded each year
A(t) = P(1 + r/n)nt
Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)
2000 = P(1.490832682)
P = $1341.53
Which statements are true about the ordered pair (10, 5) and the system of equations?
(Look at the file to answer the question)
Answers:
The first and third options should be selected.
The ordered pair (10,5) is a solution to the first equation because it makes the first equation true. The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
[tex]2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5[/tex]
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
[tex]x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11[/tex]
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
a+4b=-4 a+10b=-16
how to solve this problem
Answer:
a,b=4,-2
Step-by-step explanation:
Subtract:
a-a+4b-10b=-4-(-16)
-6b=-4+16
-6b=12
b=-2.
Plug in:
a+4(-2)=-4
a-8=-4
a=4.
Hope this helps plz hit the crown :D
please help me if you think you're kind lovely beautiful super hot please help me
Answer:
y2-y1
x2-x1
should be correct
Step-by-step explanation:
prove me wrong
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
G = 7
Step-by-step explanation:
Divide both sides by 5.1 to get G by itself.
Divide 5.1 by 5.1 and get 1
Divide 35.7 by 5.1 to get 7
G = 7
Brainliest pls
Answer:
7
Step-by-step explanation:
5.1g = 35.7
g is being multiplied by 5.1. The opposite operation to multiplication is division. To get rid of the 5.1 multiplying g, we need to divide 5.1g by 5.1 since 5.1/5.1 = 1. The rule of equations is that you must do the same operation to both sides of the equation. Since we need to divide the left side by 5.1, we divide both sides by 5.1.
5.1g/5.1 = 35.7/5.1
g = 7
Answer: 7
which graph shows a trend line that best fits the data?
Answer:
B
Step-by-step explanation:
Here is the meaning of the "Line of Best Fit" refers to a line through a scatter plot of data points that best expresses the relationship between those points. A straight line will result from a simple linear regression analysis of two or more independent variables.
Here is the rule for the "Line of Best Fit"
A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.
Answer:
B
Step-by-step explanation:
The line starts where the points starts and the line ends where the points end .
multiply y by 9, then divide 10 by the result
Answer:
10/(9y)
Step-by-step explanation:
multiply y by 9: 9y
then divide 10 by the result: 10/(9y)
Since 1 inch=2.54 centimeters what does 1 centimeter equal in inches?
Answer:0.393701 Inches
Step-by-step explanation:
Answer:
0.39
Step-by-step explanation:
0.39 is the answer. The answer above gives you the exact numbers.
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Answer/Step-by-step explanation:
The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.
This is what I mean:
Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):
For the first point, substitute x = -2, and y = -9 into y = 2x - 5.
Thus:
-9 = 2(-2) - 5
-9 = -4 - 5
-9 = -9 (this is true). It means the line runs through the point (-2, -9)
For the second point, substitute x = 3, and y = 1 into y = 2x - 5
This:
1 = 2(3) - 5
1 = 6 - 5
1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.
The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.
Write your answer in exact form.
Answer:
r = 64
Step-by-step explanation:
r = (k*t*u)/s
Where,
k = constant of proportionality
t = -12,
u= -7,
s= -4,
r= -126.
r = (k*t*u)/s
-126 = (k*-12*-7)/-4
-126 * -4 = 84k
504 = 84k
k = 504/84
k = 6
Find r when t= -8, u= 8, and s= -6.
r = (k*t*u)/s
= (6*-8*8) / -6
= -384 / -6
= 64
r = 64
Solve for x using the
distributive property.
4(3x - 1) = 56
Answer:
Step-by-step explanation:
12x - 4 = 56
add 4 to each side
12x = 60
divide each side by 12
x = 5
pplease please please please please please please please please please please help me
Answer:
I'm I'm confused because
Step-by-step explanation:
which question are you talking about?
Which equation is equivalent to y=2/3x-6
A.2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18
(3n-9)+(1/5n+13)=(?+1/5n)+(-9+?)=?
Can u halp :C you need to simplify answer
Answer:
[tex]3\frac{1}{5}n[/tex] + 4
Step-by-step explanation:
First Step: Write the equation
(3n - 9) + ([tex]\frac{1}{5}[/tex]n + 13) =
Second Step: Combine like terms together
(3n + [tex]\frac{1}{5}[/tex]n) + (-9 + 13)=
Third Step: Simplify
[tex]3\frac{1}{5}n[/tex] + 4
Hope this helped! <3
Demetrius Scored 28 points in5 56 minutes duringa game of tennis. How many points did he average per minute during that
5 and 56 minutes? Type your answer as a simplified improper fraction
Answer:
420/89
Step-by-step explanation:
What we know:
Demetrius scored 28 points in 356 seconds.
To get the per second rate divide 28 by 356.
28/356 = 7/89
Here, we're looking for the per minute rate, so multiply the previous rate by 60.
(7*60)/89 = 420/89 (Since this asks for an improper fraction, I'll keep it as so.)
Brian purchases an RV for $32,000. The value of the RV is decreasing exponentially at a rate of 5% per year. Write a function that could be used to model the value of the RV where x represents the number of years since the RV was purchased . What will the RV be worth in 20 years? Please show work
Answer:
the value of the project is $16,096.88
The computation of the value of the project is shown below:
= (Expected amount generated per year × (1 - (1 ++ rate of returm)^-time period )) ÷ rate of return
= $36,950 × [1 - 1.1^-6] ÷ 0.1
= $16,0926.88
Hence, the value of the project is $16,096.88
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Use the following half-angle identity to find the exact value of tan165.
Tan(a/2)= plus or minus the square root of (1-cos a/ 1+cos a)
A. 2- sqrt 3
B. 2+ sqrt 3
C. - sqrt (7-4 sqrt 3)
D. Sqrt (7-4 sqrt 3)
Answer:
d on edge
Step-by-step explanation:
IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?
4(2+13)
4(20+30)
4(2+3)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
4(2+13) = 4(15)
4(20+30) = 4(50)
4(2+3) = 4(5)
4(20+3) = 4(23)
Therefore, 4(20+3) is the answer since it's equivalent to 4(23).
Answer:
............................................4(20+3)
PLEASE ANSWER THIS QUESTION RIGHT PLEASE Devante Has a lunch account in the school cafeteria. His starting balance at the beginning of the month is $35.50 The first week Devante But three lunches and his account balance was$28. The second week Devante  Bought five lunches and his account balance was $15.50 in a model that relates the balance of his lunch account as a function of the number of lunches he buys what does the rate of change represent? THE ANSWER CHOICES ARE IN THE PICTURE ABOVE
Answer:
C) The amount of money in his lunch account
Step-by-step explanation:
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)
z=
p=
Answer:
1) z = -6.32
2) p-value = 0.001 × 10^(-2)
3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
Step-by-step explanation:
We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.
Thus:
Sample proportion; p^ = 400/1000 = 0.4
Sample size: n = 1000
We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.
Thus, the hypothesis is defined as;
Null hypothesis:H0: p ≥ 0.5
Alternative hypothesis: Ha < 0.5
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Plugging in the relevant values;
z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)
z = -6.32
From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;
We have:
p-value = 0.00001 = 0.001 × 10^(-2)
The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court
Convert 25°C to Fahrenheit. Use the formula F = (1.8)C + 32°.
58.8°F
102.6°F
77°F
52°F
plz help
Answer:
77 F
Step-by-step explanation:
F = (1.8)*25 + 32
= 45+32
= 77
Hope this helps!
Answer:
77 degrees Fahrenheit
Step-by-step explanation:
plug 25 into 'C' in the formula
F = 1.8(25) + 32
2 cm on a map are equal to 3km in real life. if two points are 8 cm apart on the map how fat apart are they in real life
Answer:
12 km
Step-by-step explanation:
Is this really college level math?
Answer:
12 Km
Step-by-step explanation:
Ratio
=2:300000
=2/300000
=1:150000
=8*150000
=1200000cm
=12Km
Mark as Brainliest
In India It is 3rd class maths
9x(-1)-18 divided by (4+5)
Answer:
Step-by-step explanation:
9x times -1 =-9x
-9x-18 divide
(4+5=)9
divide 18 by the denominator 9 and get
-9x-2
/1
since anything pretty much divided by 1 remains the same this is simplified to
-9x-2 and since you dont know x's variable this is its simplifed form
Answer:
-9x-2
Step-by-step explanation:
[tex]9x(-1)-18/(4+5)[/tex]
Multiply 9x and -1
[tex]-9x-18/(4+5)[/tex]
Add 4 and 5
[tex]-9x-18/9[/tex]
Divide 18 and 9
[tex]-9x-2[/tex]
I hope this helps!
Jim rides his bike 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours? 60 minutes = 1 hour
Pam read 126 pages of her summer reading book in 3 hours. Zac read a 180 pages of his sunday reading book in 4 hours. If they continue to read at the same speeds, will they both finish the 215 page book after 5 total hours of reading. explain
Answer:
yes they both will because in four they both read more then half the book and one more hours should let them finshed the book
Step-by-step explanation:
Answer:
Zack is able to, but Pam cannot.
Step-by-step explanation:
Number of pages Pam read in 5 hours = 5 x 42 = 210 pages
Number of pages Zack read in 5 hours = 5 x 45 = 225 pages
Zack's pages is greater than 215 while Pam isn't able to read as much.
Hurricane Katrina dropped about 14 inches of rain over a 48 hour period. How much rain is this per hour?
Answer:
Step-by-step explanation:
The scale on a map is 1in=500miles. How many inches apart are cities that have a distance of 3000 miles between them
Answer:
Im sorry but i will answer when i get back from school.
Step-by-step explanation:
Find the equation of the line specified. The line passes through the points (7, -7) and (6, -5)
a. y = -2x + 7
b. y = 2x -21
c. y = -2x - 7
d. y = 2x - 7
Answer:
a. y = -2x + 7
Step-by-step explanation:
First, find the slope by plugging the points into the slope formula, [tex]\frac{-7+5}{7-6}[/tex], which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.
Answer:
A
Step-by-step explanation: