Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term.
−4,−21,−38
First term -4, so [tex]a_1 = -4[/tex]
Common difference of [tex]d = -38 - (-21) = -21 - (-4) = -17[/tex]
Thus
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = -4 - 17(n-1)[/tex]
Find the 64th term of the arithmetic sequence
This is [tex]a_{64}[/tex]. So
[tex]a_n = -4 - 17(n-1)[/tex]
[tex]a_{64} = -4 - 17(64-1) = -4 - 1071 = -1075[/tex]
The 64th term of the arithmetic sequence is -1075.
Help!!
The graph of 8x - 5y = -15 is shown on the grid. Which
ordered pair is in the solution set of 8x - 5y2-15?
A)
(1,6)
B)
(-6, -1)
C)
(-1,6)
D)
(-1,-6)
among 210 student 85 price in English 125 price in Nepali and 25 failed in both subject find the number of students who passed in both subjects and illustrate the result obtained when diagram
Answer:
210=85+125-x+25
x= 235-210
x=25 failled in both
Step-by-step explanation:
Given the linear equation y - 5x = 6. Which statements are correct?
Answer: B and D
Step-by-step explanation:
B and D
What is the volume of the rectangular prism?
Answer:
[tex]10 feet^3[/tex]
Step-by-step explanation:
Which statement is not always true?
Eight trials are simulated. The results are shown in the table. Simulation 112 106 105 110 109 108 111 105 What is the estimated margin of error, using standard deviation? Enter your answer, rounded to two decimal places, in the box.
Answer:
2.33
Step-by-step
i took the test :)
The margin of error of the 8 simulations is 0.89z
How to determine the margin of error?The dataset is given as:
112 106 105 110 109 108 111 105
Using a graphing calculator, the standard deviation is:
σ =2.53
The margin of error is then calculated using:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
Where z represents the critical value
So, we have:
[tex]E = z * \frac{2.53}{\sqrt 8}[/tex]
Evaluate
E = 0.89z
Read more about margin of error at:
https://brainly.com/question/10218601
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[tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
If f(x) = x^2 + 2x - 4 and g(x) = - 4x +1, what is (g-f)(x)?
===================================================
Work Shown:
(g - f)(x) = g(x) - f(x)
(g - f)(x) = (-4x+1) - (x^2+2x-4)
(g - f)(x) = -4x+1 - x^2-2x+4
(g - f)(x) = -x^2+(-4x-2x)+(1+4)
(g - f)(x) = -x^2 - 6x + 5
You are given a line with a slope of -4. What would the slope of a parallel line be?
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
the following are the heights in centimeters of 15 randomly selected students. Find the mean height of the students.
Answer: where's the heights?
Step-by-step explanation:
ILL GIVE BRAINLEST:))
Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5
please help!!! im really confused abt this
The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.
I need help plz help
Answer
its C my dear
Step-by-step explanation:
Johnnas reading rate is 150 words per minute she is reading a 364 page book that has about 275 words on each page at this rate which is the closest to the amount of times johnna should take to read the book
Answer:
11 hrs 1 min (i think so based on math)
Step-by-step explanation:
If Johnna's reading rate is 150 words per min and there are 364 pages with about 275 words, you need to multiply 364 and 275 to get 100100 and divide that by 150 to get 667.3333333 round to the nearest tenth which will give you 667.3 and divide that by 60 because there are 60 minutes in an hour to get 11.12222222 and round that to the nearest tenth to get 11.1 which means it will take Johnna 11 hours and 1 minute to read the book. I hope this is correct I'm really sorry if it isn't. :P
Coach Hutchison is the basketball coach at school . she asks players to record their heights. The histogram shows the data she has collected
What unit of measure is used in the Study?
__________________________________
O A. Inches
O B. Feet
O C. Number of playerd
O D. Number of observations
Answer:
The unit of measure used in the study is "inches"
* Will Mark BRAINLIEST * fast plss!! *easy*
I think it might be B or D.
(Pre-Algebra)
(08.02)How many solutions are there for the system of equations shown on the graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
One Solution (C)
Step-by-step explanation:
This is one solution because they only intersect once. No solution=no intersect 2 solution=intersect twice infinite solutions= same line
Sarah drove 116 miles in 4 hours. If she drove at a constant rate, how far did she travel each hour?
Answer:
28 because 116÷4=29 so she traveled 28 miles per hour
Answer:
Sarah drove 29 miles per hour.
Step-by-step explanation:
116 divided by 4 is 29.
Pls help 10 ptsssssssssssss
NO LINKS
Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Y varies inversely with x and when x = 7, y = 15. Find x when y = 21
x=
Answer:
x = 5
Step-by-step explanation:
Use the inverse variation equation, y = k/x
Plug in 7 as x and 15 as y, then solve for k:
y = k/x
15 = k/7
105 = k
So, the equation is y = 105/x
Find x when y = 21 by plugging in 21 as y:
y = 105/x
21 = 105/x
21x = 105
x = 5
So, when y = 21, x = 5
(-4)x(-6) what is the answer
Answer:
24
Step-by-step explanation:
( - 4 ) x ( - 6 ) = 24
24 is the answer.
Help please will mark brainliest!
Answer:
Step-by-step explanation:
I'm gaAy and I want some imma boy
In the telemarketing industry, one successful sale in one hundred calls is considered success. That is, the probability of success is 1/100 and the probability of failure is 99/100 What is the probability of making 2 sales in 100 calls? Use your calculator.
Answer:
0.1849 = 18.49% probability of making 2 sales in 100 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either it is a success, or it is not. The probability of a call being a success is independent of any other call. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of success is 1/100
This means that [tex]p = \frac{1}{100} = 0.01[/tex]
What is the probability of making 2 sales in 100 calls?
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{100,2}.(0.01)^{2}.(0.99)^{98} = 0.1849[/tex]
0.1849 = 18.49% probability of making 2 sales in 100 calls
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answer:
5'9 ft
Step-by-step explanation:
He was built different
If a patient smokes 2 packs of cigarettes per day for 20 years how many pack are smoke per year?
Answer:
730
Step-by-step explanation:
2x365=730
A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 45 % and the third contains 90 %. He wants to use all three solutions to obtain a mixture of 50 liters containing 70 % acid, using 2 times as much of the 90 % solution as the 45 % solution. How many liters of each solution should be used?
the chemist should use:
Answer:
Wyzant
ALGEBRA WORD PROBLEM
Dorian S. asked • 06/28/17
THREE LINEAR EQUATIONS WITH THREE VARIABLES
A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,
and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%
acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?
How to set up as three linear equations to find the answer?
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1 Expert Answer
By:
Best
Arthur D. answered • 06/28/17
TUTOR 4.9 (67)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
ABOUT THIS TUTOR ›
set up 2 equations
the first equation...
15%*x+25%*y+70%*2y=45%*40
0.15x+0.25y+1.4y=0.45*40
0.15x+1.65y=18
multiply all terms by 100
15x+165y=1800
divide all terms by 15
x+11y=120
the second equation...
x+y+2y=40
x+3y=40
x=40-3y
substitute into the first equation x+11y=120
40-3y+11y=120
40+8y=120
8y=120-40
8y=80
y=80/8
y=10 liters
x+3*10=40
x+30=40
x=40-30
x=10 liters
10 liters of 15%, 10 liters of 25%, and 20 liters of 70%
check:
10*15%=1.5
10*25%=2.5
20*70%=14
1.5+2.5+14=18
18/40=9/20=45/100=45%
45%*40=18
hope it helps
please mark brainliest
Q3. The average of following number is 5. The numbers
are 2, 3, 4, 5, 6, and x , What is the value of x ?
Answer:
x = 10
Step-by-step explanation:
2+3+4+5+6 = 20
(20 + x) / 6 = 5
cross-multiply:
20 + x = 30
x = 10
Answer:
x = 10
Step-by-step explanation:
There are 6 numbers in total: 2, 3, 4, 5, 6, and whatever x is. In order for the average to be 5 in this scenario, all numbers must add up to 30, because 30/6 = 5.
2 + 3 + 4 + 5 + 6 = 20. 30-20=10. This means x would need to equal 10.