Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
Answer:
7Step-by-step explanation:
Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)SolutionSubstituting n with -2
f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7John and gary are playing a game. john spins a spinner numbered with integers from 1 to 20. gary then writes a list of all of the positive factors of the number spun except for the number itself. gary then creates a new spinner with all of the numbers on his list. john then spins this spinner, and the process continues. the game is over when the spinner has no numbers on it. if john spins a 20 on his first spin, what is the maximum number of total spins (including the one he already made) that john can make before the game is over?
Answer:
4
Step-by-step explanation:
So let's say he gets a result of 20 from the first spin. This means that the factors of 20 would be:
1, 2, 4, 5 and 10. Since 20 is not taken into account when building the next spinner.
now, the possibilities for each of the given factors are:
1: 1
2: 1, 2
4: 1, 2, 4
5: 1, 5
10: 1, 2, 5, 10
So let's take the one with the biggest amount of possible factors, in this case it would be the 10. So let's say that on the second spin, he gets a 10.
So our possible factors for 10 would be:
1, 2, 5 since we don't take 10 itself into account.
So let's see the possible factors for 1, 2 and 5
1: 1
2: 1, 2
5: 1, 5
For the third spin, you could either get a 2 or a 5, it doesn't matter which result you get since for theh last spinner, it would only have a result of 1.
so for the fourth spin, you would get a 1 as an answer and the game ends there with a total of four spins.
Answer:
4
Step-by-step explanation:
If John spins a 20, then Gary's list contains the numbers 1, 2, 4, 5, 10. Thus, these are the numbers on the second spinner.
If John spins a 1, then Gary's list will be empty because there are no positive factors of 1 besides itself. Thus, the game will be over. This yields a maximum of 1 additional spin.
If John spins a 2, then Gary's list will only contain the number 1. Then on John's next spin, we will have the same scenario as above. This yields a maximum of 2 additional spins.
If John spins a 4, then Gary's list will contain the numbers 1 and 2. As we have already found above, spinning a 2 yields more additional spins than a 1, so the maximum additional spins in this case is 3 spins.
If John spins a 5, then Gary's list will only contain the number 1. As above, this will yield a maximum of 2 additional spins.
Finally, if John spins a 10, then Gary's list will contain the numbers 1, 2, and 5. Of these numbers, 2 and 5 have the highest maximum number of additional spins, so this case has a maximum of 3 additional spins.
Thus, of all of the possibilities, spinning a 4 or 10 next could result in 3 additional spins, so the maximum total number of spins is [tex]$\boxed{4}$[/tex]. These would be achieved by spinning 20, 10, 2, 1 or 20, 10, 5, 1 or 20, 4, 2, 1.
In 1980 the social security tax was 5.83% up to a maximum of 25,900 if Nina earned $34,200 in 1989,how much did she pay in social security taxes?
Answer:
1882
fnbgjdgfhhghhhhhhhhhhh
HEEEEEEELLLLLPPP ME please
Answer:
1 and 4/7
Step-by-step explanation:
parts of complex numbers
z = 4- 2i
Step-by-step explanation:
This is the trigonometric form of a complex number where
|
z
|
is the modulus and
θ
is the angle created on the complex plane.
z
=
a
+
b
i
=
|
z
|
(
cos
(
θ
)
+
i
sin
(
θ
)
)
The modulus of a complex number is the distance from the origin on the complex plane.
|
z
|
=
√
a
2
+
b
2
where
z
=
a
+
b
i
Substitute the actual values of
a
=
4
and
b
=
−
2
.
|
z
|
=
√
(
−
2
)
2
+
4
2
Find
|
z
|
.
|
z
|
=
2
√
5
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
θ
=
arctan
(
−
2
4
)
Since inverse tangent of
−
2
4
produces an angle in the fourth quadrant, the value of the angle is
−
0.4636476
.
θ
=
−
0.4636476
Substitute the values of
θ
=
−
0.4636476
and
|
z
|
=
2
√
5
.
2
√
5
(
cos
(
−
0.4636476
)
+
i
sin
(
−
0.4636476
)
)
Replace the right side of the equation with the trigonometric form.
z
=
2
√
5
(
cos
(
−
0.4636476
)
+
i
sin
(
−
0.4636476
)
)
When you can.. please answer these! THANK YOU SO MUCH WAHHH
Match the corresponding rational expressions with the letter of the correct answer.
Answer:
1-C
2-F
3-A
4-D
5-B
6-E
Step-by-step explanation:
A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?
Answer:
y=40x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Triangles ABC and DEF are similar. Find the length of segment DF?
Answer:
5.71
Step-by-step explanation:
you divide 2 by 1.34 and then divide 4 by that
Omar has a new credit card. He earns 300 reward points for every 100100100 dollars he spends.
If Omar earned 1800 reward points, how much money did he spend?
Answer:
Omar spent $600
Step-by-step explanation:
He gets 300 points for every $100 he spends and if he has 1800 points total then you divide 1800 by 300 to get the answer
What are two consecutive integers that their product, minus 147, is equal to -75?
Answer:
8 and 9 or -8 and -9Step-by-step explanation:
x - first integer
x+1 - the next consecutive integer
x(x+1) - their product
x(x + 1) - 147 = -75
x² + x - 72 = 0
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1-4(-72)}}{2}=\dfrac{-1\pm\sqrt{289}}{2}\\\\\\x_1=\dfrac{-1+17}2=8\,,\qquad x_2\dfrac{-1-17}2=-9\\\\x_1+1=9\,,\qquad\qquad\qquad x_2+1=-8[/tex]
NEED ASAP . Plz help
Each piece of paper is 910 inch long. Each ballot needs to be 310 inch long. How many ballots can be cut from one piece of paper?
Answer:
about 3 pages can be cut.
Step-by-step explanation:
910/310=2.9
Answer:
3
Step-by-step explanation:
Use this if your teacher asks you how.
By dividing 910/310 you get 2.9. notice that on the calculator it shows 2.9 then infinity but dont mind that. as said to get 3 you round 2.9 to the nearest whole number. which is 3 :)
I WILL GIVE BRAINLIEST Identify the coefficients in the following expression.
3x – 5y – z + 13
A. 3, -5, -1
B. 3, -5
C. 3, 5, 13
D. 3, 5, 1, 14
SHOW YOUR WORK PLZSSSSSSS
Step-by-step explanation:
the coefficients are the whole numbers accompanied by the variable. would be: 3, 5, 1, 13
PLZ PLZ PLZ BRAINLIEST AND 20 POINTSJack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:
2x − 8
In the expression, what does the first term represent?
Jack's earnings at the end of the week
The number of bags of apples Jillian sold
Jillian's earnings at the end of the week
The number of bags of apples Jack sold
Answer:
.
Step-by-step explanation:
.
We are given that Jack and Jillian sell apples at a produce stand .
We are given that an expression which shows Jack's earning=2x-8
We have to find that first term what represent in the given expression
Jillian earns for each bag of apples she sells=$2
Let Jillian sold number of bags of apples =x
Then ,Jillian earn total at the end of the week =
Jack has earned $ 8 less than Jillian earn
Therefore, total earning of jack=
In the given expression the first term 2x represent the earning of Jillian.
The product of 3 and a number decreased by 10
Answer:
5
Step-by-step explanation:
Can you guys help me please
Answer:
No it's not a function
Step-by-step explanation:
Every point line up evenly when it's vertical. just take your pencil and put it on the circle vertically and you will see that the points will line up
So it's not. function
pls mark brainiest because i didn't waste your time lol
Answer:
no
Step-by-step explanation:
the answer is no because each value in the domain is associated with exactly one point in the codomain, but a line passing though the circle generally intersects the circle at two points
Which triangles must be congruent?
Answer:
It stands for "side-side-side". If two triangle both have all of their sides equal (that is, if one triangle has side lengths a, b, c, then so does the other triangle), then they must be congruent.
Rewrite the number in STANDARD NOTATION
entlying
A and B are forces acting on a falling object. Which
force, A or B, represents gravity in the diagram?
Force
is gravity because it attracts the ball
to the ground.
Answer:
B... Because indicates the direction of gravity because its direction is downward
Answer:b
Step-by-step explanation:
A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B
Answer:
D
Step-by-step explanation:
Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.
A family is comparing different car seats. One car seat is designed for a child up to and including 35 lb. Another car seat is designed for a child between 18 lb and 40
ib. A third car seat is designed for a child between 35 lb and 75 lb, inclusive. Model those ranges with compound inequalities.
Answer:
0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb
Step-by-step explanation:
Let the first car seat be A, the second car seat be B and the third car seat be C.
For the first car seat be A, the weight ranges from 0 to 35 lb inclusive. Since it is inclusive, we use the ≤ sign. So, the inequality is
0 ≤ A ≤ 35 lb
For the second car seat be B, the weight ranges from between 18 to 40 lb. Since it is between 18 lb and 40 lb, we use the inequality sign <. So, the inequality is
18 lb < B < 40 lb
For the third car seat be C, the weight ranges from between 35 to 75 lb inclusive. Since it is between 35 lb and 75 lb inclusive, we use the inequality sign < for the left side and ≤ for the right side. So, the inequality is
35 lb < C ≤ 75 lb.
So, the ranges are
0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb
What is 3.258 x 105 written in standard form?
3.258 x 105=342.09
Brainliest plz!
x - 5 (x-1) = x - (2x - 3)
Answer:
x=2/3
Step-by-step explanation:
hope this helps :)
The solution to the equation is x = 2/3.
We have,
To solve the equation x - 5(x - 1) = x - (2x - 3), follow these steps:
- Distribute the -5 to the terms inside the parentheses:
x - 5x + 5 = x - 2x + 3
- Simplify the terms on both sides of the equation:
-4x + 5 = -x + 3
- Add -x from both sides of the equation:
-4x + x + 5 = -x + 3 + x
-3x + 5 = 3
-3x = 3 - 5
-3x = -2
x = 2/3
Therefore,
The solution to the equation is x = 2/3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
PLEASE HELP
ONLY ANSWER IF YOU KNOW
I WILL REPORT IF IT HAS NOTHING TO DO WITH THE TOPIC
Answer:
One would be -3 and the other would be 0.
Step-by-step explanation:
first would be 0 because it's already an answer
second, we take -3 from the left side and subtract it from 0 from the other side which is -3
Answer:
x=3
Step-by-step explanation:
x−3=0
2) Add 3 to both sides.
x=3
can someone please help me
Last night, the temperature fell from 0°F to -13 1/5 in 4 2/5 hours. What was the average temperature change per hour? Solve the division problem.
-13 1/5 ÷ 4 2/5
Answer:
-16
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Use long division to find the quotient below.
(8x3 + 4x2 + 100) = (2x + 5)
A. 4x2 + 12x + 20
B. 4x2 + 8x+ 20
C. 4x2 - 12x+ 20
D. 4x2 - 8x + 20
Answer:
D
Step-by-step explanation:
D 4x2-8x+20
The x-intercept shows that you can buy short-sleeve shirts and long-sleeve shirts. The y-intercept shows that you can buy long-sleeve shirts and short-sleeve shirts.
Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.
[tex]10 * x + 15 * y =300[/tex]
[tex]10x + 15y =300[/tex]
To solve for the y intercept, we set x to 0
[tex]10 * 0 + 15y =300[/tex]
[tex]15y =300[/tex]
Divide through by 15
[tex]y = 20[/tex]
This implies that, you can buy 0 short sleeves and 20 long sleeves
To solve for the x intercept, we set y to 0
[tex]10x + 15 * 0 = 300[/tex]
[tex]10x = 300[/tex]
Divide through by 10
[tex]x = 30[/tex]
This implies that, you can buy 0 long sleeves and 30 short sleeves
use the substitution method to solve the system of equations. Choose the correct ordered pair y=5x+7 and x=8
Answer:
y = 47
Step-by-step explanation:
y = 5x + 7
Since x is equal to 8, replace the x in the equation with 8 and solve.
y = 5(8) + 7
y = 40 + 7
y = 47
Answer: ( 8,47 )
Step-by-step explanation: took the quiz
Here's a screenshot of my problem does someone mind helping me
Answer:
B. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.
Step-by-step explanation:
Look for a pattern within the table.
10 : 2.5
16 : 4
? : 7.5
48 : 12
10/2.5 = 4
16/4 = 4
14/12 = 4
this means that if we multiply 7.5 by 4 we will be able to find the missing number!
Therefore, the answer is B.
Hope this helps! :)