Given :
[tex]a_1=-25[/tex] .
[tex]a_n=a_{n-1}-14[/tex] .
To Find :
The general equation of [tex]a_n[/tex] .
Solution :
We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .
Now , common difference ,
[tex]d=a_n-a_{n-1}\\\\d=-14[/tex]
Also , first term is -25 .
Now , general term of an A.P is given by :
[tex]a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n[/tex]
Hence , this is the required solution .
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
he fill with 1 gallon of blue paint?
Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :
[tex]n=\dfrac{128}{16}\\\\n=8[/tex]
Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.
What does (-4/5) - 7/5 equal to?
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
Frank also has an eraser. It has a mass of 3g, and volume of 1cm3.what is it’s density
Here
mass = 3g
volume = 1 cm³
we know
density = mass/ volume
3/1 = 3g/cm³
The sum of ages of three brothers is 79. If James I’d half as old as Brandon and Marshall is 11 years younger then Brandon how old is the youngest brother?
Answer:
The youngest brother is James and his age is 18 Years.
Step wise explaination:
Lets suppose,
age of James = x
age of Brandon = 2x
age of Marshall = 2x - 11
The sum of ages of three brothers = 79
now,
finding the value of x,
x + 2x + 2x - 11 = 79
or, 5x - 11 = 79
or, 5x = 79 + 11
or, 5x = 90
or, x = 90
5
so, x = 18.
Then,
age of James = 18.
age of Brandon = 2×18 = 36.
age of Marshall = (2×18) - 11 = 25.
Therefore,
The youngest brother is James and his age is 18 Years.
Please mark me as Brainliest.Which of the following inequalities is not true?
|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0
Answer:
[tex] | - 9| = |9| [/tex]
This is because modulus number will be always positive
Hope this is correct and helpful
HAVE A GOOD DAY!
1. What does the equation m= 7.50 mean in this situation?
Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?
Answer:
13 seconds
Step-by-step explanation:
It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0
What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4
Answer:
The correct answer is (D) 4
Step-by-step explanation:
Hopes this helps!
Answer:
(D) 4
Step-by-step explanation:
6/7
÷
3/14
=
6/7
×
14/3
=
6 × 14
7 × 3
=
84/21
=
84 ÷ 21
21 ÷ 21
= 4
The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)
Answer:
A) (3,7)
Step-by-step explanation:
If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)
Answer:
A) (3,7)
Step-by-step explanation:
if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.
How do u write 0.57 repeating as a fraction in simplest form explain the steps please!
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
We have,
Let x = 0.575757... (with 57 repeatings)
Multiplying x by 100,
100x = 57.575757...
Subtracting the original x from 100x,
100x - x = 57.575757... - 0.575757...
99x = 57
To obtain x, divide both sides by 99:
x = 57/99
Dividing both the numerator and denominator by 3,
x = (57/3) / (99/3)
x = 19/33
Therefore,
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
Solve the equation 2x+4(x-6)=3(2x-8)
Thank you
Answer:
IMS aka infintely many solutions :)
Step-by-step explanation:
2x+4(x-6)=3(2x-8)
distribute
2x+4x-24=6x-24
combine like terms
6x-24=6x-24
carry across equal sign
6x=6x
carry across equal sign
0=0 aka IMS
Answer:
No solutions I think
Step-by-step explanation:
2x + 4(x -6) = 3(2x -8)
2x + 4x -24 = 6x - 24
6x - 24 = 6x - 24
-6x +24 -6x +24
0 = 0
Hopefully this helped :)
If f(x)=−2(x+7), then what is f(−10)? 66 3434 −34negative 34 −6negative 6
When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
Answer:
here's your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
If y= 55 when x = 120 what is the value of y when x = 60 ?
Answer:
equation calculator help u out
Answer:
y = 27.5
Step-by-step explanation:
120 (x) - 55 (y) = 65
65 / 2 = 32.5
60 - 32.5 = 27.5
x = 60 and y = 27.5
I really hope this helps...
30. June's weekly salary is $70 less than Kelly's, which is
$50 more than Eileen's. If Eileen earns $280 per week.
how much does June earn per
week?
6.
(A) $160
(B) $260
(C) $280
(D) $300
Drew
What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
Help? : )) thank yall
Answer:
Third option: [tex]-10x^7y^2[/tex]
Step-by-step explanation:
[tex]12x^4\left(-\frac{5}{6}x^3y^2\right)[/tex]
Remove brackets:
[tex]12x^4\times-\frac{5}{6}x^3y^2[/tex]
Multiply the [tex]x^2[/tex]:
[tex]12\times-\frac{5}{6}x^{4+3}\times y^2[/tex]
[tex]12\times - \frac{5}{6}x^7y^2[/tex]
Multiply:
[tex]-\frac{5\times \:12x^7y^2}{6}[/tex]
[tex]-\frac{60x^7y^2}{6}[/tex]
Divide:
[tex]-10x^7y^2[/tex]
Answer:
the answer to your question is -10(x^7) (y^2)
What is the length of the segment connecting the points A(1,3) and B(6,5)?
Answer:
The answer is
[tex]\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]Step-by-step explanation:
The length of the segment connecting two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1,3) and B(6,5)
The length is
[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]
We have the final answer as
[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]
Hope this helps you
Are angles 1 and 2 a linear pair? Yes or no.
Graph this function:
y - 7 = -5(x + 5)
Answer:
Look at the graph for help
Step-by-step explanation:
if you need to graph us desmos graphing its free just plug in you cordinates
how do you round up/down numbers PLEASE ANSWER
Answer:If the number is over 5 then you go to the next number
Step-by-step explananation
7.99 = 8 its over 5
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360 miles
Step-by-step explanation: 640/16=40. 40x9=360.
What is 15 to the 7 power divided by 15 to the 4 power equal to?
Answer:
3375
Step-by-step explanation:
Points F and G are located at (3,-12) and (3,-8) on a coordinate plane.
What is the distance between the two points?
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,-12) and (3,-8)
The distance between them is
[tex] |EF| = \sqrt{( {3 - 3})^{2} + ({ - 12 + 8})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
4 unitsHope this helps you
Answer: 4
Step-by-step explanation: 8-12=4
Kyle's expenses are $1,850 each month. 1) How much money must Kyle earn each month to break even? A) $1,000 B) $1,675 C) $1,850 D) $2,000
Find JH if I is the midpoint.
Answer:
158
Step-by-step explanation:
If I is the midpoint of JH, JI= IH
JH= JI +IH
JH= JI +JI (subst. IH= JI)
JH= 2(JI)
Since JI= 79,
JH= 2(79)
JH= 158
got this question wrong! what is the correct answer? will give brainliest and thanks