Answer:
output is -17
Step-by-step explanation:
x is input, y is output. You do y = -24 + 7
then y = -17
What is the 97th term of the arithmetic sequence -16,2,20
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
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
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
Which of the following numbers is closest to 11?
O A. 7123
B. V115
O c. 118
O D. 120
Answer:
the answer is D
Step-by-step explanation:
A. √123 = 11.09
11.09-11 = 0.09
B. √115 = 10.72
11-10.72 = 0.28
C. √118 = 10.86
11-10.86 = 0.14
D. √120 = 10.95
11-10.95 = 0.05 ( the smallest difference )
OA.
The slope is negative.
OB.
The slope is positive.
Oc.
The slope is zero.
D.
The slope is undefined.
The true statement about the slope is the slope is positive.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
To find the slope take two points from the graph as (0, 4) and (5, 6)
So, Slope of line
= (6-4) / (5-0)
= 2 /5
= 0.4
Thus, the slope of line is positive.
Learn more about slope here:
https://brainly.com/question/17310554
#SPJ7
what times 64 equals 32
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
= 1,500 (1 + 0.07/4)^4*5
= 1,500 (1 + 0.0175)^20
= 1,500 (1.0175)^20
= 1,500 (1.4148)
= 2,122.20
A = $2,122.20
Is each graph a function or not?
Answer:
IN THIS ORDER
NO
NO
YES
YES
NO
YES
Step-by-step explanation:
Hope this helped if I got it wrong, sorry ill edit it if I did :)
The question is below
Answer:
x + 7
Step-by-step explanation:
ajiahaqjjaqjajajanqjq
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
2 + -30 - (-5) + 60 + (-75)
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
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?
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
Write the opposite of each number. -25 _______ 0 _______
Answer:
25
0
Step-by-step explanation:
True or false
do all states have an income tax?
Answer:
All states have a state income tax. The amount of tax withheld generally depends on the level of income and the number of exemptions claimed.
what digit is in hundreds place 25437
Answer:
4
Step-by-step explanation:
25,437 --> twenty-five thousand, four hundred and thirty seven
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
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
I need help pleas I need it please please please free 50 points free 50 pionts
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation:
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?
Is this true or false? 0 < -2 Answer fast pls
Answer:
False
Explanation:
It's actually 0 > -2
the sum of the first six terms of a G.P is 9 times the sum of the first three terms . what is the first term ?
Without any more information, the first term can be any number.
Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then
a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)
ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)
r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)
r ³ (1 + r + r ²) = 8 (1 + r + r ²)
r ³ = 8
r = 2
Now with this ratio, the sum of the first six terms is
a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a
while the sum of the first three terms is
a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a
and of course 63a = 9 • 7a, and this is true for any a.
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 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.
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.
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
Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal
Answer:
Root of polynomial synonyms: zero, x-intercept
Step-by-step explanation:
Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?
8p+3=5p+9
Please solve with work I’ve gotten it wrong 9 times
p= 2
Step-by-step explanation:
1. subtract 3 from 3 and 9
2. subract 5p from 8p and 5p
3. it is now 3p = 6
4 divide both sides by 3
5. 6/3 is 2 so 2 =p
Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c