As a reminder, an arithmetic sequence or arithmetic progression (AP) is a progression in which the difference (called the tolerance) between two consecutive terms in the progression is constant.
Therefore, the expression for the nth term is
an = a₁ + (n − 1) d
and in general
an = am + (n - m) d.
where d is the difference.
For an arithmetic series with initial term a₁ and difference between terms of d
an = a₁ + (n − 1) d
We are told
d = -2 and
S8 = 240
So,
a1 = 240 = a1 + ( 30 - 1) * ( -2 ) = a1 - 58
a1 = 240+58 =298
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Mr jones pays $423.22 for his car payment and $98.30 for his car insurance every month how much is mr jones paying per month for his automotive bills
The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.
As given,
Payment done for car every month = $423.22
Payment done for car insurance = $98.30
Total payment done by Mr. Jones every month = $ (423.22 + 98.30)
= $521.52
Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.
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Given mn, find the value of x.
Which statistics best describe the center and spread of the data in the histogram? which statistics best describe the center and spread of the data in the histogram? median and standard deviation mean and standard deviation median and iqr mean and iqr
A histogram is a graph that shows the frequency of numerical data using rectangles.
A set of quantitative data with varying values may be shown as a list or a data display.
Center and spread are ways to describe data sets like this.
Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
The mean is useful for describing the center of data with similar values.
The mean is the average value.
mean = sum of values / number of values
A histogram is a graph that shows the frequency of numerical data using rectangles.
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Mia is building a fence using nails 2.5 in
long. She drives a nail through a board
that is 75 in. thick into a 4 in. square
fencepost. How much of the nail goes
into the post?
Answer:
jjajdawasdaw
Step-by-step explanation:
wsadwdasdawasdawdas
One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?
Answer:122 days
Step-by-step explanation:
Use substitution to solve the system.
y = 2x+14
3x+2y = -7
Answer: x=-5, y=4 (-5,4)
Step-by-step explanation:
What is the reciprocal of 5/29
Answer:
[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.
Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.
Graph the equation. Plot at least five points on the graph and label them with their
coordinates.
3. (-1,-2), (0,-1), (1,0), (2,1), and (3,2)
3. (0,0), (-1,2), (1,2), (-2,4), and (2,4)
the greatest integer function,shown below,is defend so that it produces the greatest integer_____or equal to x???
The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x
This is further explained below.
What is a integer?A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.
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CQ
The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]
What am I doing wrong here? Please help!
Answer:
If there are dotted lines available then use dotted lines for the range where its only greater than or less than, when there is no equals to sign then you use dotted lines
Step-by-step explanation:
Solve the simultaneous equation
-4x+3y=1
6x-y=2
We can form the eq. for y,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
the function f(x) is shown. the function g(x)= 2x - 6 compare slopes
Answer: The slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3
Step-by-step explanation:
Define slope?
The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
We can write:
m=(y2-y1) / (x2-x1)
If,
g(x) = 2x - 6
The slope of g(x), m = 2
Let, x1=0
y1=2
x2=-1
Y2=1
So, we take (x1, y1) and (x2, y2) Then consider (0, 2) and (-1, 1)
Solve it:
Replace with x1, y1 and x2, y2
m = [1-(-2)/(-1)]
m=[(1+2) /(-1) ]
m=3/(-1)
m=-3
Thus, the slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3.
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Describe and correct the error in using the diagram to find the value of x
Step-by-step explanation:
It's simple in the following diagram ( 13x + 45)° + (19x +3)° won't be equal to 180° as they are vertically opposite angle...... and are vertically opposite to each other...
So to find the value of x :
13x + 45° = 19x + 3°
13x - 19x = 3 - 45
-6x = - 42
x = -42 / -6
x = 7°
☘☘☘...
Given n bits, how many unsigned integers can be represented with the n bits? what is the range of these integers?
2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
What are integers?An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14,.09, and 5,643.1. There are three kinds of integers: Zero (0) Integers that are positive (Natural numbers) Integers that are negative (Additive inverse of Natural Numbers).So, if n bits are given then 2ⁿ integers can be represented.
And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.
Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
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2×3÷2+1+2×33 what's the answer
Answer: 70
Step-by-step explanation:
2×3÷2+1+2×33
PEMDAS, do all the multiplication first.
2×3 = 6, 2×33=66
Do division next.
6÷2=3
3+1+66=70
I need the answer to all of them Rolly quick Bc my phone is dying
Answer:
1: $5
2: 7
3: 18
4: 17
5: 2
6: 1,029
Step-by-step explanation:
factorise completely m^2n-mn^2
Answer: nm(m-n)
Step-by-step explanation:
m^2n-mn^2=
n*m(m)-m*n(n)=
n*m(m-n)=nm(m-n)
1/5v+gt =a Solve for V
Answer:
v = 5(a - gt) or
v = 5a - 5gt These both mean the same thing
Step-by-step explanation:
1/5 v + gt = a Subtract gt from both sides of the equation.
1/5 v = a - gt Multiply both sides by 5
v = 5(a - gt)
help because i paay 30 a month 4 thisssd
Answer:
2c+2
The number that will go in the green box is 2.
Step-by-step explanation:
3c-1-c+3
Combine the like terms.
3c-1-c+3=2c+2
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7x + 3x + x⁴ divided by x-2 using long division
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
After executing the following statement, the value of x is ________. double x = 5 4 * 3 / 2 ;
The value of x is 81 . double x = 5 4 * 3 / 2 .
What is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."x = 54 * 3/2
x = 27 * 3
x = 81
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Two customers spent the same total amount of money at a restaurant.
• The first customer bought 8 hot wings and left a $4 tip.
• The second customer bought 10 hot wings and left a $2.80 tip.
• Both customers paid the same amount per hot wing.
How much does one hot wing cost at this restaurant in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
Help please :)
create your own unit rate example in which you have to determine the unit rate of two fractions with different units. explain what the two fractions are, write the scenario, and calculate the unit rate. do not forget your units and remember to show your work!
no trolling!
Mansi can cover 1 mile of the distance in just 12 minutes.
How to calculate the unit rate?The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc
There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
Lets consider Mansi covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:
Unit rate = 36min/3miles
Unit rate = 12 minutes/mile
Here,
This shows that Mansi can cover 1 mile of the distance in just 12 minutes.
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8xy(x^3 y) fully simplify
Answer:
8x^4y^2
Step-by-step explanation:
Just plug it in to the calculator and that will be your result.
Find the area of the region that lies inside both curves. r = 9 sin(), r = 9 cos()
The area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The curves are:
r = 9 sin(θ) and
r = 9 cos(θ)
On graphing the above curves:
From the graph:
A = (1/2)∫(9sin(θ))2dθ + (1/2)∫(9cos(θ)2dθ
The region is symmetrical about π/4,:
A = 81∫sin2(θ)dθ from 0 to π/4
After solving:
= 11.56 square unit
Thus, the area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
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What is the letter name of the point of (1, 4)?
Answer: u
Step-by-step explanation: go over 1 up 4
f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
The volume of the cone shown in the figure below is 1/3 the volume of the cylinder. In terms of h,
what is the volume of the
cone?
Answer:
It is the last answer [tex]\frac{16\pi }{3}[/tex]
Step-by-step explanation:
the volume of the cylinder is the area of the base times the height. The area of a circle is
a = [tex]\pi r^{2}[/tex] We are give the diameter is 8. The radius is 1/2 of the diameter so the radius is 4. [tex]4^{2}[/tex] = 16
a = 16[tex]\pi[/tex] If the cone is 1/3 of that, we divide this answer by 3 to get
a = [tex]\frac{16\pi }{3}[/tex]
2
You can also use scientific notation for very small numbers. The
thickness of a dollar bill is about 0.0043 inches. Write this quantity in
scientific notation.
A. First move the decimal point to the right to get a number that is
greater than or equal to 1 but less than 10.
0.0043 The decimal point moves 3
places to the right.
Remove the extra zeros to get the first factor:
B. Since 0.0043 is less than 1, you moved the decimal point to the right,
so the exponent in the power of 10 will be negative.
-3
0.0043 = 4.3
X 10
the thickness in scientific notation is:
4.3* 10⁻³ inches
How to write the thickness in scientific notation?
Here we know that the thickness of a dollar bill is 0.0043 inches.
Now, scientific notation refers to the notation where we have a single digit at the left of the decimal point, and the order of the number is defined by a factor of a power of 10.
To write our number in scientific notation we need to count the number of zeros that we have before the first non-zero decimal, and we can see that it is equal to 3.
Then we can move all the digits 3 units to the left, and add a factor 10⁻³ to correct that, then we will get:
0.0043 = 4.3* 10⁻³
From this, we conclude that the thickness in scientific notation is:
4.3* 10⁻³ inches
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q+p-3; use p = 2, and q = -1
Answer:
-2
Step-by-step explanation:
q + p - 3
-1 + 2 - 3 = -2