The 96th term of this arithmetic sequence is -1059.
In an Arithmetic Progression (AP), the nth term is given by the formula-
a9 = a + (n-1)d
where a = first term of the AP
d = common difference
Here, we are given an AP-
-3, -14, -25
Here a = -3
and d = -14 + 3 = -11
Let the 96th term of the AP be a96
Therefore, according to the formula for finding the nth term of an AP, we get-
a96 = a + (96-1)d
a9 = a + 95d
Substituting the values of a and d given in the question-
a96 = -3 + 96(-11)
a96 = -3 - 1056
a96 = -1059
Thus, the 96th term of the arithmetic sequence is -1059.
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Start with the graph of the absolute value function. Stretch it by a factor of 3 and shift 2 units up.
The absolute value function of the given expression is g(x) = 3*Ix + 2I.
What is the role of absolute value?The absolute value function is often assumed to provide the number's distance from zero on a number line. Algebraically, the output is really the value without respect to sign regardless of what the input value is.
According to the given data:Let's define transformations in broad strokes.
A vertical stretch with scale factor A is denoted by:
g(x) = A*f(x)
A vertical shift in A units is denoted by:
g(x) = f(x) + A
If A is positive, the shift is positive; if A is negative, the shift is negative.
A horizontal shift in A units is denoted by:
g(x) = f(x - A)
If A is greater than zero, the shift is toward the right.
The shift to the left if A is negative.
Then we begin with the maximum value parental function f(x) = IxI.
"The graph of both the absolute value parent function has been stretched vertically by a factor of three."
we can start with:
g(x) = 3*f(x)
"then shifted two units left"
g(x) = 3*f(x - (-2))
and since f(x) = IxI, they have:
g(x) = 3*Ix + 2I
the absolute value function of the given expression is g(x) = 3*Ix + 2I.
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m∠2=30 find m∠4
Please help!
Step-by-step explanation:
the answer is, so we are adding and multiplying by 2, so here is the answer: m<4=60
Answer:
m∠2 and m∠4 are opposite angles, this means that they are the same. Since m∠2 is 30 degrees, m∠4 is also 30 degrees.
I need help with this one
If rectangle A has sides that are three times the length of those in rectangle B, how do the areas of the two rectangles compare?
A. The area of A is three times the area of B.
OB. The area of A is six times the area of B.
OC. The area of A is eight times the area of B.
OD. The area of A is nine times the area of B.
E. The area of A is twelve times the area of B.
Answer:
D. The area of A is nine times the area of B.Step-by-step explanation:
Area is the function of two dimensions.
If each dimension is increased 3 times then the area will increase:
3*3 = 9 timesCorrect choice is D
snow fell at a rate of 3/4 inch/hour. How much snow fell in a period of 6 hours?
Answer:
4.5 inches
Step-by-step explanation:
Well 3/4 is the same as 0.75
First multiply 0.75 by 6 to get the answer because 0.75 is how much it fell in an hour. So if you multiply by 0.75 by six hours you get your answer. Which is 4.5
Answer:
5.5 inches
Step-by-step explanation:
Because you multiply 3 by 6
The school book fair has 72 nonfiction books and 328 fiction books for sale what percent of the book fair is non-fiction books
help would be appreciated :)
Answer: Trust me if you want but I think it is parallelogram. Maybe?
Under her cell phone plan, Fatoumata pays a flat cost of $59 per month and $3 per
gigabyte. She wants to keep her bill under $75 per month. Which inequality can be
used to determine x, the maximum number of gigabytes Fatoumata can use while
staying within her budget?
Answer:
[tex]59 + 3x < 75[/tex]
Step-by-step explanation:
We know from the question that Fatoumata pays a flat cost of $59 per month and $3 per gigabyte.
If we consider [tex]x[/tex] to be the number of gigabytes she uses in a month, then her bill every month can be represented by the following expression:
[tex]59 + 3x[/tex] .
We are told that the bill has to be kept under $75. Therefore:
[tex]59 + 3x < 75[/tex]
This inequality can be used to solve for [tex]x[/tex], and so we can use it to find the maximum number of gigabytes she can use while keeping the bill under $75.
The inequality for the maximum number of gigabytes Fatoumata can use while staying within her budget will be equal to $59 + $3(x) < $75.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Price of cell phone plan per month = $59
The price per gigabyte = $3
Then, the equation as per the statement will be,
$59 + $3(x)
Here, x is the number of gigabytes used in a month.
So, the inequality will be,
$59 + $3(x) < $75
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Help me solve this problem please.
Answer:
C. 1889
Step-by-step explanation:
Given fixed weekly costs of $3778 and a variable cost per handle of $1, you want to know how many handles must be produced weekly for sale at $3 each to break even.
Contribution marginThe "contribution margin" of each handle is the difference between its variable cost and its selling price:
$3 -1 = $2
Break evenThe enterprise will break even when the sum of contribution margins is equal to the fixed costs. If h is the number of handles produced and sold, then to break even, we must have ...
2h = 3778
h = 1889
1889 handles must be molded weekly to break even.
__
Additional comment
You get the same result if you write the profit equation and solve for the number of handles that makes profit be zero.
profit = revenue -cost
0 = (3h) -(3778 +1h)
3778 = 2h . . . . . as above
1889 = h
The mural in the art gallery is 7 meters tall. It's 69 centimeters taller than the marble sculpture. How tall is the sculpture?
The endpoints of CD are -6 and 15. Find the point P that partitions the segment
into the ratio 1:5.
The point P that partitions the segment into the ratio 1:5 is 3.5
How to find the location of P?The given parameters are
C = -6
D = 15
P = 1 : 5
The location of point P is calculated as
P = 1/(1 + 5) * (D - C)
This gives
P = 1/6 * (15 + 6)
Evaluate
P = 3.5
Hence, the point P that partitions the segment into the ratio 1:5 is 3.5
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Which of the following is a true statement? 43,962 < 34,048 20,473 < 24,928 21,046 > 26,397 32,433 > 34,048
Answer:
b) 20,473 < 24,928
Step-by-step explanation:
43,962 < 34,048
21,046 > 26,397
32,433 > 34,048
all have the sign pointed the wrong way
Answer: 20,473<24,928 is true
Step-by-step explanation:because 20,473 is less than 24,928 and 24,928 is greater than 20,473
before leaving to visit Mexico, Levant traded 270 American dollars and received 3,000 Mexican pesos. when he returned from Mexico, he had 100 pesos left. How much will he receive when he exchanges these pesos for dollars?.
He will receive $ 9 when he exchanges 100 pesos for American dollars.
We are given that:
Levant received 3000 Mexican pesos for 270 American dollars.
So, by using the unitary method, we will calculate the rate of 1 Mexican pesos for American dollars.
So, we get that:
3000 Mexican pesos = $ 270
1 Mexican Peso = $ 270 / 3000
1 Mexican Peso = 0.09
Now, we are also given that Levan has 100 pesos left.
So,
100 pesos = $ 0.09 × 100
100 pesos = $ 9
Therefore, he will receive $ 9 when he exchanges 100 pesos for American dollars.
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Answer if you know your right, bur don't answer just for the points
Answer:
42% is less than 5/8
Step-by-step explanation:
If 42% is converted to a fraction, it comes out to 21/50, which is smaller than 5/8. You could also convert 5/8 into a percentage, which comes out to 62.5%. :)
Answer:
42% < 5/8
Step-by-step explanation:
We're going to change 5/8 to a percent. All you have to do is 5/8, which is 0.625. If you want to convert a decimal to a fraction, you move the decimal 2 places to the right, which is 62.5. Therefore, 42% is less, or < than 5/8.
An 18-foot long section of a beam
weighs 2115 pounds.
If a section of the beam weighs 2350
pounds, how long is the section?
Answer: 2 feet
Step-by-step explanation:
2115/18=117.5 pounds per foot of section
2350-2115=235
235/117.5=2 feet
A man deposited 350 in his account in the bank.a simple interest of 4 percent per annum was paid on his deposit.calculate the total amount at the end of 4 years?
The total amount payable at the end of 4 years is 406
In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.
here we have to apply the formulla of simmple interest :
(principal × rate of interest × no. of years )/ 100
In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4
Simple interest = pnr/100
= (350 × 4 × 4)/100 = 56
Matured Amount = Principal + Interest
= 350 + 56 = 406
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What is the simple interest if $1,000 is borrowed for 5 years at 5 % interest?
Step-by-step explanation:
A= $1250
Converting R percent to R a decimal
Help now please. Will mark brainliest
Answer:
The expression that shows a valid step in
the process of finding the decibel level of the noise is dB = 10 log 150,000. Option C is correct
Given the equation for calculating the intensity of sound which is measured in decibel expressed as:
dB=10 log l
where;
I is the ratio of the sound to the human hearing threshold
Given that noise is 150,000 times greater than the human hearing threshold.
Substitute | = 150,000 into the expression above;
dB = 10 log 150,000
If this is correct, brainliest please.
need help with this
Answer:
1
Step-by-step explanation:
1 is the number in which its reciprocal is its own because 1 has both the same numerator and denominator which means the reciprocal is the same. For example, 1/1 is equal to 1 and the reciprocal of 1/1 is 1/1
2/2 is equal to 1 and the reciprocal of 2/2 is 2/2
This can keep going on and on.
Hope this helps!
is 4/3 and 3/4 equivalent fractions
Answer:
no
Step-by-step explanation:
3/4 is equivalent to 6/8,9/12, and 15/20
find the number n of hours you need to study on saturday so that the mean number of hours is 1.75
The value of the n in the mean value is 1.
According to the statement
We have to find that the value of the n in the mean.
So, For this purpose, we know that the
Mean is the simple mathematical average of a set of two or more numbers.
From the given information:
The mean number of hours is 1.75
Then
We are given that
Day Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Saturday n
Mean number of hours of study per day=1.5
Then
Total number of days=7
Using the formula:
Mean = sum of data / Total number of the data points
1.5 = 9.5+n / 7
1.5*7 = 9.5+n
10.5 = 9.5+n
n = 10.5 - 9.5
n = 1.
So, The value of the n in the mean value is 1.
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A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16 How many times larger is the diameter of the dish than the diameter of the bacterium
For a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
How to solve for the diameterWe have the diameter of the dish to be 0.0001
This is the same as 10⁻⁴
The bacterium has the diameter at 10^-16
The difference between the diameter of the dish than the bacterium would be solved by
1 x 10⁻⁴ / 10^-16
= 10¹²
Hence we would have to say that for a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.
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The cost of a ticket to the circus is $14.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 700 and the total gate revenue was $19,400. How many children and how many adults bought tickets?
Answer:
300 children and 400 adults
Step-by-step explanation:
14(x) + 38(700-x) = 19,400
14x + 26,600 - 38x = 19,400
14x - 38x = -7,200
-24x = -7,200
24x = 7,200
x = 300
x = childrens
700 - x = adults
300 = children
400 = adult
what is
3x+2(4x-4)=3
Answer:
x = 1
Step-by-step explanation:
Distribute
3x + 8x - 8 = 3
Gather like terms
11x - 8 = 3
Add 8 to both sides
11x = 11
Divide both sides by 11
x = 1
A bouquet has 6 roses and 21 other types of flowers. What is the ratio of roses to other flowers?
Answer:
6:21
Step-by-step explanation:
because there is 6 roses and 21 other types 6/21 = 6:21
Answer:
6:21
ratio indicates how many times one number contains another.
it can be simplified to 2:7, because the HCF of 6 and 21 is 3, it's been divided by 3.
hope it helps.
Accounts Payable may sometimes include non-current or long-term payables in certain circumstances.
True
False
Accounts Payable may sometimes include non-current or long-term payables in certain circumstances is False
Non-current or long term liabilities are obligations to be paid after 12 months or a operational cycle. It is opposite of current liabilities, where the debts are short-term and its maturing is within twelve months.
Non-current liabilities arises when the company is using long term loans for the business requirements. Businesses may also require to finance the capital expenditure from time to time.
Accounts payable shows that the purchases that are unpaid by the organization . The accounts payable is the most important portion of the current liabilities of the company’s financial statements.
The business rules states that short term obligations shall be fulfilled out by current assets.
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if y=12, what is the value of 85y+8-80y?
Answer: 68
Step-by-step explanation: Because I am smart
Determine the sum of the first n terms of the geometric sequence for the values of a, and r.
n = 4, a₁ = -3, r = 3
Step-by-step explanation:
gsvsvhsjjsbsbheeb dbdjdbdurjr rjrnir
Points A and B have coordinates A(–4,2) and B(3,–6) . Find the coordinates of point P, the weighted average of points A and B, in which point A has a weight of 2 and point B has a weight of 5.
HELP ME GEOMETRY THX
The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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10 times a number equals 10 less than 12 times a number what is the number
Answer:
Step-by-step explanation:
Mathematically the statement can be written as 10x=12x-1010x-12x=-10-2x=-10[tex]\frac{-2x}{-2} =\frac{-10}{-5} \\x=5[/tex]That number is 5Answer:
10×V=10-12×V=Step-by-step explanation:
this is how for I understand it buh if am wrong my bad