=========================================================
Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
-----------------------
To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
-----------------------
Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
-----------------------
You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
17 is the answer for the value of the term in the arithmetic sequence using the above
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
Which of the following has no solution? 5x−10=x+20 2(6+x)=14+2x 0x+5=3(5x+7) 2(4+x)=8+2x
Answer:
2(6+x)=14+2x
Step-by-step explanation:
There are no solutions
Oscar rides his skateboard
58mile in14hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
4
Step-by-step explanation:
Answer:
the answer to this is 4 mph
Step-by-step explanation:
i think sorry if it is wrong
-12x2x-1
pls tell noob nerds sssssssssssssssssssssssssssss
[tex]\sf\purple{24}[/tex] ✅
Step-by-step explanation:-
[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]
Note:-
[tex]( - \times - ) = + [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Simplify Radicals
1)
Answer:
38.10511777
Step-by-step explanation:
Use calculator
Answer:
[tex]22\sqrt{3}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Can someone help me please
Answer:
[tex]\$213.33[/tex]
Step-by-step explanation:
Your initial balance is $150.83. After you write a check of $12.50, your balance will be 150.83-12.50=$138.33. Now, you receive 75 dollars and deposit it to your bank, so your balance will be 75 dollars greater than it was:
[tex]138.33+75=\boxed{\$213.33}[/tex]
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
[tex] \dfrac{2x}{x + 7} [/tex]
Step-by-step explanation:
[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]
Factor the numerator and denominator.
[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]
[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]
[tex] = \dfrac{2x}{x + 7} [/tex]
I WILL MARK BRAINLIEST!!!!
A, B C or D?
Box-and-whisker plot
Answer:
B.Q1, Q3, maximum
Step-by-step explanation:
The left side of the box is hovering over 65
The left side of the box represents quartile 1
The right side of the box is hovering over 85
The right side of the box represents quartile 3
The whisker at the end of the right side is hovering over 100
The whisker at the very end of the right represents the maximum
Hence, we can conclude that the answer is Q1 Q3 maximum
The histogram shows the results of a survey asking students how many windows are in their homes. How many students have less than 10 windows in their homes. Enter your answer in the box. Help ASAP I will mark brainlest
Answer:
10
Step-by-step explanation: can u tell me if am right
Select the correct answer from each drop-down menu.
The number 5 is
BIS
May than -1; because - lies
on a vertical number line.
Reset
Next
less
greater
Answer:
The number -7/5 is greater than -1 1/5Answer:so -7-5 is graeter than - 1 /1/5 and it above 1/1/5
Step-by-step explanation:
How many farms less are there in the United States if the number of farms decreased from 5,859,169 to 5,382,162? (Write the operation and the answer) no links
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
Which expression is equivalent to
Answer:
[tex] x {4}[/tex]
Step-by-step explanation:
easy math
Find the value of x.
Answer:
D
Step-by-step explanation:
The midsegment AC is half the sum of the parallel bases, that is
AC = [tex]\frac{DF+EB}{2}[/tex] , then
x = [tex]\frac{13+9}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11 → D
Rotate triangle P 90° clockwise about the point (2, -1).
Please screenshot this and send me the answers cuz I really need help :(
Answer: (2,0), (2,1), and (6,1)
Step-by-step explanation: I just used the desmos graphing calculator to find the answer to your problem. I don't know any formulas to solve it so I just rotated the points by hand. I also made sure they were still equidistant from the point (2,-1) because if their distances from other points changed during the rotation, then the triangle would not be equal to the first triangle and the image would've been distorted.
I hope this helps! Have a nice day.
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5
of all submissions. Currently, Paul plans for the yearbook to have 156 pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.
Answer:
2/5 of 75 is 30 thats all i have for because i am haveing trouble with the same question
Step-by-step explanation:
the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.
============================================================
Explanation:
The area 81pi square meters leads to the radius 9 meters
Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.
-----------------
Once you know the radius, you can determine the circumference C
C = 2*pi*r
C = 2*pi*9
C = 2*9*pi
C = 18pi
The circumference is the perimeter, or distance, around the circle.
What is the value of x? (giving brainliest and thanks to all!)
Answer:
x = 12
Step-by-step explanation:
Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10x = 120 ( divide both sides by 10 )
x = 12
Math question part 2 show work thanks Jim !!
Part (b)
The scale 1 cm = 2 m means we'll multiply whatever the cm distance is by 2 to get the meter distance in real life.
The shed is 3 cm by 3 cm on paper. It corresponds to 6 meters by 6 meters in real life.
----------
The cement pad is 6 meters by 10 meters in real life because it's originally 3 cm across and 5 cm vertical. We double each dimension as done before, and replace "cm" with "m".
----------
The hot tub is a circle so we don't get an exact measurement here. But we can determine a good estimate. It appears it's 2 cm across and 2 cm vertical. So that corresponds to 4 meters by 4 meters
=========================================
Part (c)
On paper, the distance is 4.5 cm since we count out 4 full squares plus half a square when going a horizontal distance from the cement pad to the pool.
Therefore, the distance in real life is 9 meters
1 cm = 2 m
4.5*(1 cm) = 4.5*(2 m)
4.5 cm = 9 m
==========================================
Part (d)
The flowerbed on paper has sides of 4 cm and 6 cm. Use the pythagorean theorem to find the hypotenuse is approximately 7.21 cm.
Double each dimension, and replace the 'cm' with 'm'
The side lengths of the actual flowerbed is 8 meters, 12 meters, 14.42 meters. That last value being approximate.
Add up the values to get the perimeter: 8+12+14.42 = 34.42
Answer: perimeter = 34.42 meters (approximate)
For two odd consecutive numbers, seven times the first number is 1 more than six times the greater number. What is the sum of those numbers?
9514 1404 393
Answer:
28
Step-by-step explanation:
Let x represent the even number between them. Then the desired sum is 2x.
The given relation is ...
7(x -1) = 1 +6(x +1)
x = 14 . . . . . . . add 7-6x
2x = 28 = sum of those numbers
__
The two numbers are 13 and 15.
The solution is incorrect. HIGHLIGHT the step that does not follow logically from the previous step. Explain why it is incorrect.
What is the circumference of the circle below? Use the formula C = 2tr.
5 m
A 5 m
B 10T m
Answer: B
Step-by-step explanation:
The formula for circumference of a circle is 2 pie radius (2πr)
1. radius=5
2 so 2π(5)
3 2x5=10
4. 10π
I dont get it yall help
Answer:
y = 3x + 1.
Step-by-step explanation:
The slope is 3 and the y-intercept is at y = 1.
Answer:
y = 3x + b
Step-by-step explanation:
Essentially the question is asking us to find the equation of the line in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and y = y intercept
First let's find the slope
Slope = change in y over change in x
Looking at the line as y goes up 3 x goes up 1
hence slope (m) = 3/1 or just 3
Now let's find the y intercept
The y intercept is equal to the y value of the point where the line passes the y axis
The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1
Hence, y intercept (.b ) = 1
Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line
We get y = 3x + 1.
What is the result when the number 82 is decreased by 8.6%? Round your answer to the nearest tenth.
Answer:
74.948
Step-by-step explanation:
Have a nice day
Answer:
74.948
Step-by-step explanation:
To decrease a number by a percentage, we can simply multiply the number by the reciprocal of the decrease.
To decrease 82 by 8.6 % , we can simply multiply 82 by 91.4%……..
82 x .914= 74.948
Rounded to nearest tenth……..74.9
Which angle is complementary to ∠X?
Answer:
Complementary angles sum to 90°.
∠X has ∠P complementary to it as:
P + X = 90°PLEASE HELP ME I HAVE MINUTES BEFORE MY COMPTER GETS TAKEN AWAY
47
Step-by-step explanation:
it is a vertical angle
Answer:
47
Step-by-step explanation:
- A way you can answer is to do 180 - 47 which is 133
- Do 180 - 133 = 47.
-So Basically The answer is the opposite (In Simple Terms)
1. Shaded area is 14 cm. Find r to the nearest 0.01 cm.
Answer:
Step-by-step explanation:
Area of the quarter circle = 1/4 pi * r^2
Area of the quarter circle = 1/4 * 3.14 * r^2
Area of the triangle = 1/2 r * r = 1/2 r^2
Equation of Solution
1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2 Subtract 1/2 r^2 from both sides
0.785 r^2 - 0.5 r^2 = 14 cm^2 Combine the left
0.285 r^2 = 14. cm^2 Divide by 0.285
r^2 = 14/0.285
r^2 = 49.1228 Take the square root of both sides
sqrt(r^2) = sqrt(49.1228)
r = 7.01
What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.
Answer:
The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04
Step-by-step explanation:
Answer:
Volume - 452.16 cm
Step-by-step explanation:
First we need to find the area of the circle.
Area of a circle - (3.14)r^2
Insert the radius in the formula -
(3.14) (4)^2
3.14 x 16
50.24 is the area of the circle
Now, we have to multiply this value by the height of the cylinder in order to find the volume.
50.24 x 9 = 452.16 cm
Michael deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 4 years? PLEASE ANSWER QUICK
Answer:
$960
Step-by-step explanation:
simple interest = [tex]\frac{P R T}{100}[/tex]
= [tex]\frac{4000*6*4}{100}[/tex]
= $960
I = PRT
I = 4000×0.06×4= 960
Interest = 960 dollars
