8, 3, -2, -7
basically
you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.
so the first past of the answer is -5n.
then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.
your answer would then be
-5n + 13Answer:
-5x + 13
Step-by-step explanation:
to find the nth term, you must find the difference between each consecutive given terms.
So,
8 and 3 = -5
3 and -2 = -5
-2 and -7 = -5
This is the m in the equation mn+c
c is the value you must add to -5n when n is 1
Hope this helps
Find the 87th term of the arithmetic sequence –19, -13, -7,...
Answer:
87th term is 497
Step-by-step explanation:
first, you have to find the nth term:
figure out the difference between your set of numbers (in our case +6)
that means that is 6n. next, the nth term is basically the 0th term so you have to find the 0th term. all you have to do is do the inverse of 6n (-6n or -6), which gives us -25.
nth term= 6n-25
now replace n with 87.
final step:
87*6 (6n and n=87) and that gives you 522. then, you have to do 522-25, due to the equation. 522-25=497
497 is your 87th term.
Answer:
-535Step-by-step explanation:
[tex]a = -19\\d = T_{2} -T_{1} \\d = -19-(-13)\\d = -19+13\\d = -6\\T_{n}= a+(n-1)d \\\\T_{87} = -19+(87-1)-6\\T_{87} = -19+(86)*-6\\T_{87} = -19-516\\T_{87} = -535[/tex]
Someone help please
Step-by-step explanation:
First let us suppose the missing number x
I think we will cross multiply
5b2 = bx
5b2/b = bx
5b = x
Answer:
[tex]25[/tex] will go into the box.
Step-by-step explanation:
Square the denominator and the denominator to get the required expression.
[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]
Best Regards!
Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?
Answer:
4/15
Step-by-step explanation:
Jayden is running laps at track practice. The track is 25 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes does it take Jayden to run 1 kilometer?
Answer:
0.08 minutes for a kilometer.
Step-by-step explanation:
If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.
I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.
Which of the following represents the factorization of the polynomial below x^2+13x+42
Answer:
(x+7)(x+6)
Step-by-step explanation:
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+6)(x+7)
Answer:
a) (x+7) (x+6)
Step-by-step explanation:
That is the correct answer because you get it when you factor the current equation.
Hope it helps
95 students choose to attend one of three after school activities: footbal,l tennis or running. There are 28 boys. 38 students choose football, of which 26 are girls. 23 students choose tennis. 29 girls choose running. A student is selected at random. What is the probability this student choose running? Give your answer in its simplest form.
Answer:
34/95
Step-by-step explanation:
Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
if y= -6 when x= -2 find y when x= 5
Answer:
Y=15 when x=5
Step-by-step explanation:
if y= -6 when x= -2
So y=? When x=5
Y=15
Hope this helps
Good Luck
HOW DO U COMBINE LIKE TERMS I LITERALLY FORGOT LMK DO NOT LOOK IT UP OR ELSE CAUSE IMMA USE GRAMMARLY FOR UR ANSWERS AND SEE IF U DIDNT LOOK IT UP THANK YOU SMMMMM
Answer:
you combine like terms by adding them up
Step-by-step explanation:
writing an equation in Point-Slope Form
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.
Answer:
y+1 = 2(x-6)
Step-by-step explanation:
We have a point (6,-1) and a slope m=2
The point slope form of a line is
y-y1 = m(x-x1)
y- -1 = 2(x-6)
y+1 = 2(x-6)
Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)
Step-by-step explanation:
Disregard my explanation, its in the wrong form
Point-slope form is y = mx + b
They gave us m, 2. And they gave us the coords, (6, -1)
All you have to do is plug this info in to get:
[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]
Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
work out the volume of a sphere please help i’ll give u brainlest
Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 9.5 cm
V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]
V = [tex]\frac{10774}{3}[/tex]
V = 3591.4 cm³
Answer:
[tex]3591.4{cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]
I need help, please Will mark the Brainliest
Answer:
A= BEP and BCG
Because they aree the only triangle
C= about 600 to 750
Step-by-step explanation:
(8x - 4)(7y + 2) multiplying binomials
Step-by-step explanation:
8x(7y+2)-4(7y+2)
=56xy+16x-28y-8
Answer:
56xy+16x-28y-8
Step-by-step explanation:
you have to use the FOIL method to solve this is problem which is
F-First
O-Outer
I-Inner
F-Last
Can you help me with this question
Answer:
-1.67
Step-by-step explanation:
which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points
Answer:
A
Step-by-step explanation:
Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.
Factor 60 y − 90 − 20 x 60y−90−20x60, y, minus, 90, minus, 20, x to identify the equivalent expressions. Choose 2 answers: Choose 2 answers: (Choice A) A 5 ( 14 y − 16 − 4 x ) 5(14y−16−4x)5, left parenthesis, 14, y, minus, 16, minus, 4, x, right parenthesis (Choice B) B 2 ( 30 − 45 − 10 ) 2(30−45−10)2, left parenthesis, 30, minus, 45, minus, 10, right parenthesis (Choice C) C 5 ( 12 y − 18 − 4 x ) 5(12y−18−4x)5, left parenthesis, 12, y, minus, 18, minus, 4, x, right parenthesis (Choice D) D 10 ( 6 y − 9 − 2 x ) 10(6y−9−2x)
Answer:
D. 10(6y - 9 - 2x)
Step-by-step explanation:
We want to factor 60y - 90 - 20x.
We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.
10 is common among all three:
10(6y - 9 - 2x)
We have factored it.
Answer:
c
d
Step-by-step explanation:
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
Heeeeelllpppp meeeeee!!!!
Look at the picture to answer this question!
Answer:
A. 72
Step-by-step explanation:
Determinant of a 2x2 matrix: ad - bc
In that case,
24(18) - 30(12)
432 - 360
72
And we have our answer.
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $1000 in an account that pays simple interest of 6% for 30 years.
The amount of money you'll have at the end of 30 years is $
Step-by-step explanation:
Simple Interest = PTR/100
=1000* 30* 6/100
=1800.
Amount= Principal + Interest
= 1000+1800
= $2800
The amount of money that has at the of 30 years is $2800.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $1000
Rate of interest R = 6%
Time span T = 30 years.
Total amount = Principle amount + Interest
Total amount = P + (PRT)/100
Total amount = $1000 + (1000 x 6 x 30)/100
⇒ $2800
Hence "The amount of money that has at the of 30 years is $2800".
For more about simple interests
https://brainly.com/question/25845758
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what is the graph of y > x2-9.
Answer:
The 1st graph
Step-by-step explanation:
When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.
Use completing the square to solve for X in the equation (c+7)(x-9)=25
Answer:
x = 1 ± √89
Step-by-step explanation:
Step 1: Expand
x² - 2x - 63 = 25
Step 2: Isolate xs
x² - 2x = 88
Step 3: Complete the square
x² - 2x + 1 = 88 + 1
(x - 1)² = 89
Step 3: Square root both sides
√(x - 1)² = ±√89
x - 1 = ±√89
Step 4: Isolate x
x = 1 ± √89
A
1
3
-2
-1
0
B
-1
The midpoint of AB = ([?], [ ])
Answer: The midpoint is (1,0)
Step-by-step explanation:
Point B has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of the x and y coordinates.
x coordinates. [tex]\frac{-1+3}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
y coordinates . [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Midpoint: (1,0)
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 38 and 59 minutes?
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = playing time of jazz CDs
SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
68% of the data values lie within one standard deviation points from the mean.95% of the data values lie within two standard deviation points from the mean.99.7% of the data values lie within three standard deviation points from the mean.Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is = [tex]\frac{45-52}{7}[/tex] = -1
For 59 minutes, z-score is = [tex]\frac{59-52}{7}[/tex] = 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
The transformation from the function f(x)=3x to the function f(x) 3x-8
Answer:
It moves 8 to the right
Step-by-step explanation:
This is in the y axis so it will move 8 on the x axis
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=9xy=9xy, equals, 9, x
(Choice B)
B
2y=18x2y=18x2, y, equals, 18, x
(Choice C)
C
pls answer as fast as u can
Answer:
3,12,15
Step-by-step explanation:
caculator
Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He covered a distance of 250km during this time. Calculate his average speed between this time duration.
Answer:
Average speed = 100 km/h
Step-by-step explanation:
Given:
Total distance covered = 250 km
Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5
Find:
Average speed.
Computation:
⇒ Average speed = Total distance covered / Total time taken
⇒ Average speed = 250 / 2.5
⇒ Average speed = 100 km/h
Which graph shows the solution to this system of inequalities?
Answer:
Your graph is supposed to be like this so your answer is C
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY
What is 40% of 260..
Answer:
104
Step-by-step explanation:
40 x 260 /100 = 104
Answer:
104
Step-by-step explanation:
40% of 260=
40/100 x 260=
10400/100=
104