Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
[tex]T_2-T_1 \\ - 2 - 3 \\ = - 5[/tex]
Common ratio =
[tex]T_2/T_1 \\ \frac{ - 2}{3} [/tex]
The common difference applies to the other given numbers for example :
[tex]T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5[/tex]
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Find the measure of angle A.
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
162 divided by 4.1 estimate
Answer:
40
Step-by-step explanation:
162/4.1= 39.51 round to 40
The solution of the equation after dividing would be 40.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
162 divided by 4.1
Now divide the numbers,
162 divided by 4.1
It can be written as,
162 ÷ 4.1
162 / 4.1
1620/41
This gives,
39.512
Rounded to whole numbers,
40
Therefore, the solution is 40.
To learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
the shadow of a 100 m long vertical pole is of 20 m then what will be the angle of inclination round the answer to the nearest tenth of a degree
Answer:54.23 m
Step-by-step explanation:I’m not sure this is even close to being right but I tried
What is an equation of the line that passes through the points (-6, -2) and
(-3, 2)? Put your answer in fully reduced form.
Answer:
The equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=-6,y_1=-2, x_2=-3, y_2=2[/tex]
Putting values and finding slope
[tex]Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}[/tex]
So, we get slope: [tex]m=\frac{4}{3}[/tex]
Finding y-intercept
Using point (-6,-2) and slope [tex]m=\frac{4}{3}[/tex] we can find y-intercept
[tex]y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6[/tex]
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope [tex]m=\frac{4}{3}[/tex] and y-intercept b = 6 is
[tex]y=mx+b\\y=\frac{4}{3}x+6[/tex]
Now transforming in fully reduced form:
[tex]y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18[/tex]
So, the equation of line is: [tex]\mathbf{4x-3y=-18}[/tex]
A photo lab technician has a display ad that is 5 centimeters
by 10 centimeters. The ad needs to be enlarged so the
longer side is 30 centimeters. How long will the shorter
side be after the enlargement?
Answer:
15 cm
Step-by-step explanation:
Answer:
15 cm✨
Step-by-step explanation:
hope it helps
Solve the following quadratic equation.
(x - 16)2 = 256 The 2 is the exponent so please don't misunderstand it lol, thank you for who ever helps me.
A. x = 30 and x = 8
B. x = -30 and x = -8
C. x = -32 and x = 0
D. x = 32 and x = 0
Answer:
D. x = 32 and x = 0
Step-by-step explanation:
You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(2)? ______≤ f(4) − f(2) ≤ ______
Answer:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Step-by-step explanation:
Given
[tex]4 \le f'(x) \le 5[/tex]
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]
Make f(4) - f(2), the subject:
[tex]f(4) -f(2) = 2 * f'(x)[/tex]
From the given range: [tex]4 \le f'(x) \le 5[/tex]
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
[tex]f(4) -f(2) = 2 * 4[/tex]
[tex]f(4) -f(2) = 8[/tex]
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
[tex]f(4) - f(2) = 2 * 5[/tex]
[tex]f(4) - f(2) = 10[/tex]
Hence, the minimum and maximum values can be expressed as:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Pleaseeee helppppp
Mr. Taylor and Mrs. Miller's classes have been having a fundraising competition. They've both kept track how much money they've raised in dollars versus the time in daysWhile Mr. Taylor's class chose to graph their data, Mrs. Miller's class chose to present it in a table. Both classes have found that their fundraising over time has been proportional, where the daily increase in money raised is consistent
Answer:A
Step-by-step explanation:
Mrs.Miller earns 12 dollars on day one. Mr.Taylor earns 10 dollars.
Answer:
So.... Based on hotbabe's answer, Mrs. Millers class has a $2 greater daily increase.
Step-by-step explanation:
$12-$10=$2
Complete the table by converting the fractions (in the first column) into decimals (in the second column) and vice versa. Fractions Decimals -4/5 1 2/100 0.13 3/4
Answer:
Step-by-step explanation:
-4/5=-8/10=-0.80
12/100=0.12
0.13=13/100
3/4=75/100=0.75
Please help me please!!
(Picture above)
Answer:
1) D
2) C
3) B
4) A
Step-by-step explanation:
type them into desmos online calculator to see the lines
PLEASE HELP!!!!
Your friend wants to know if there is a proportional relationship between
the number of slices of ham in a sandwich and the number of calories.
Decide if the relationship between the number of slices of ham in a
sandwich and the number of calories is proportional.
Answer:
Step-by-step explanation: the answer is does not
Answer: The table does not show a proportional relationship
Step-by-step explanation: i got it right on my envision just here to help
please help me i’m so confused
list the fractions in descending order of 2/5 8/9 4/5 1/3 3/10
Answer:
8/9, 4/5, 2/5, 1/3, 3/10
Step-by-step explanation:
2/5 = 0.4 8/9 = 0.888 4/5 = 0.8 1/3 = 0.333 3/10 = 0.3
34 − 23⋅ (5 − 2) − 60
Answer:
-95
Step-by-step explanation:
Follow order of operations,
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Make sure to do them left to right
I need help with this please.
Answer:
CCCC.
Step-by-step explanation:
HELP PLZ WILL GIVE BRAINLYEST
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
Best Answer gets BRAINLIEST!!!
Answer:
3.5/1
Step-by-step explanation:
y/x
3.5/1
question what is −8y2 + 8y2
Answer:
0..................
Answer:
0
Step-by-step explanation:
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
Which is larger 14/25 or 0.54
Answer:
14/25
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
Use the normal distribution to approximate the following binomial distribution. A recent survey indicated that 55% of the people in a certain community own a motorcycle. If 35 people from this community are chosen at random, what is the probability that fewer than 23 own a motorcycle?
Answer:
0.86 (Approx)
Step-by-step explanation:
Given:
n = 35
P = 55% = 0.55
Q = 1 - p = 0.45
Computation:
Standard deviation σ = √npq
Standard deviation σ = √(35)(.55)(.45)
Standard deviation σ = 2.9432
Mean μ = np = 35 x 0.55 = 19.25
p[(x-np)/ σ ]
P[z<1.04204]
= 0.86 (Approx)
+ + = . . Please im on a time limit
Answer:
what do you mean lol im slow haha
Answer:
In order to solve we need to know what the equation is.
Step-by-step explanation:
An astronaut who weighs 95 kilograms on Earth weighs 15.8 kilograms on the Moon. How much would a person weigh on the Moon if they weigh 105 kilograms on Earth? Round your answer to the nearest tenth, or one decimal place.
please help me
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Dan drove 737 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?
Answer:
871
Step-by-step explanation:
737 divided by 11 is 67, so thats how many miles he drives per hour
67 times 13 is 871
Answer: 871 Miles
Work: So, I did 737 miles divided by 11 hours to find out how many miles he had driven in 1 hour, which is 67. I did 67 x 2 which is 134, and added it to 737, which will give us how much he will drive in 13 hours. And the answer is 871.
Merry Christmas! :)
Whoever answers gets brainlist!
Answer:
c
Step-by-step explanation:
write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
Can you help me solve
-4x+y=6
-5x-y=21
Answer:
x = -3, y = -6. (-3,-6)
Step-by-step explanation:
Betsy has to sell carnival tickets worth at least $60. The price of a child ticket is $5, and the price of an adult ticket is $8. Let x be the number of child tickets sold and y be the number of adult tickets sold. which of the following graphs best models this situation.
A) 5x+8y
[tex] \geqslant [/tex]
60
B) 5x+8y
[tex] \leqslant [/tex]
60
C) 5x+8y
[tex] < [/tex]
60
D) 5x+8y
[tex] > [/tex]
60
Answer:
A) 5x + 8y [tex]\geq[/tex] 60
Step-by-step explanation:
"At least" translates to the inequality symbol [tex]\geq[/tex] or "greater than or equal to."
