Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
The mass of a textbook is 1.25 kg about how many pounds is this
Answer:
2.755778
Step-by-step explanation:
Just search how much pounds is 1.25 kg?
Please help!!! I will mark brainliest :)))
Answer:
its the first top one the 3rd one and the bottom one
Step-by-step explanation:
The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (5,8), how many centimeters does the plant grow per week?
can someone help me with this problem please?
Answer:
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Step-by-step explanation:
Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm. Thus we have the rate of change
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
8. Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC
Step-by-step explanation:
Angle ADB = Angle CBD = 90° (given)
Side AB = Side DC (given)
Common side DB / BD
By HL congruence, triangles ABD and CDB are congruent.
Therefore Angle ABD = Angle CDB
=> Line AB is parallel to Line DC (Z angles)
The freshman basketball coach’s office has a doorway that is 77 inches high. The coach will only recruit those student athletes who have to duck to enter the office. Of all the freshmen who wish to play basketball, the mean height is 75 inches with a standard deviation of 2.82 inches. Meanwhile, the football coach will only recruit student athletes to play linebacker (a defensive position) who weigh 210 pounds or more. Of all the freshmen who wish to play linebacker, the mean weight is 190 inches with a standard deviation of 12.32 pounds. Who do you think will have a harder time recruiting players?
What is the equation for the line in slope-intercept form?
Enter your answer in the box. _____
4
Step-by-step explanation:
so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.
Plz help with these 2 questions and thx !
Answer:
The first is 18.
The second is less than (<).
Step-by-step explanation:
Hope this helps <3
Answer:
1. 18
2. C
Step-by-step explanation:
1. 7/42=1/6 3•6=18
2. 3/7 is greater than 3/8
HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
The answer is -70
Step-by-step explanation:
How I got the answer.....
-21-49 = -70
Hope this helps! :)
Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.
Answer:the line x+y<10 has a negative slope and a positive y intercept
The line representing 20x+25y>200 is solid and the graph is shaded above line
The overlapping region contains the point (4,5)
Step-by-step explanation:
;)
Answer:
The answers are B, C, and E.
Step-by-step explanation:
I got it right on edge
On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour
Answer:
60
Step-by-step explanation:
all of those rounded to the nearest ten is 60
What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?
Answer:
DRFHDFG
Step-by-step explanation:
6=6+4
The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r.
22.758 to the nearest foot
write the following in the form Ax^2+Bx+C=y
Answer:
13). y = x² + 6x + 8
14). y = 2x² + 8x - 12
Step-by-step explanation:
13). Vertex form of a parabola is given by,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Equation of a parabola with vertex (-3, -1) will be,
y = a(x + 3)² - 1
Since, y-intercept of the parabola is y = 8
In other words, parabola is passing through (0, 8)
8 = a(0 + 3)² - 1
8 = 9a - 1
9a = 9
a = 1
Therefore, equation of the parabola will be,
y = (x + 3)² - 1
y = x² + 6x + 9 - 1
y = x² + 6x + 8
14). Equation of a parabola with vertex (-2, -20)
y = a(x + 2)² - 20
Since, y-intercept of the parabola is (0, -12),
-12 = a(0 + 2)² - 20
-12 + 20 = 4a
4a = 8
a = 2
Therefore, equation of the parabola will be,
y = 2(x + 2)² - 20
y = 2(x² + 4x + 4) - 20
y = 2x² + 8x + 8 - 20
y = 2x² + 8x - 12
A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?
Answer:
1
Step-by-step explanation:
Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one
What is the equation in slope-intercept form of the line that passes through the point (6, 1) and is parallel to the line represented by
y = -3x + 2?
Enter your answer by filling in the boxes.
The set of integers from -3 to 3
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.
-3 is the smallest, so you go see the integers above it that are equal or less than 3.
Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.
So then the answer should be
-3, -2, -1, 0, 1, 2, 3
HELP PLZ
You don’t have to solve all of them just do the ones you know!
What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?
Answer:
p = 7
Step-by-step explanation:
set the expressions = to each other
4(n+7) = 4(n+p)
distribute the 4 on both sides(multiplying the numbers on the inside)
4n+28 = 4n+4p
subtract the 4n from the right and left
28 = 4p
divide by 4
p = 7
I really need help with -8 - 4(5m + 9)
Is this true or false? 0 < -2 Answer fast pls
Answer:
False
Explanation:
It's actually 0 > -2
PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU
Answer:
it is c
Step-by-step explanation:
the lines are parallel to each other
2 + -30 - (-5) + 60 + (-75)
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
I need help it’s due in 20 min:(
Answer:
A) DF= 11
B) JH= 13.6
C) GJ= 23.6
D) m∠F= 105
E) m∠G= 34
F) m∠J= 41
Step-by-step explanation:
7.8
7.2
7.99
7.141 greatest to least ?
in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.
7.990, 7.800, 7.200, 7.141.
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}
Answer:
The first set of ordered pairs is not a function.
Step-by-step explanation:
The X value of 7 repeats, which means that it is not a function
Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.
Answer:
0.45 = 9/20
38% = 19/50
27/50 = 0.54
0.68 = 17/25
80% = 4/5
Step-by-step explanation:
can anyone please help. this is my last question!!!!
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
Alternate solution
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."