Expand and combine like terms.
(5 - 2x^4) (5 + 2x^4) =
Answer:
25 - 4x^8
Step-by-step explanation:
Use FOIL here.
Combine the first terms of both expressions.
5 * 5 = 25
Combine the outer terms of both expressions.
2x^4 * 5 = 10x^4
Combine the inner terms of both expressions.
-2x^4 * 5 = -10x^4
Combine the last terms of both expressions.
-2x^4 * 2x^4 = -4x^8
(a^x * a^y = a^(x+y).)
Now add those terms.
25 + 10x^4 - 10x^4 - 4x^8
Combine like terms to get:
25 - 4x^8.
Answer:
[tex]25 - 4x^8[/tex]
Step-by-step explanation:
1) [tex](5 - 2x^4) (5 + 2x^4)[/tex]
Simplify using [tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
2) [tex]5^{2} - (2x^4)^{2}[/tex]
Evaluate the power
3) [tex]25 - (2x^4)^{2}[/tex]
4) [tex]25 - 4x^8[/tex]
Write the model of a 50 gram substance that decays at a rate of 3% yearly
Answer:
A(t) = 50(0.97)^t
Step-by-step explanation:
3% = 0.03
1 - .03 = 0.97
A(t) = 50(1 - 0.03)^t
A(t) = 50(0.97)^t
Express the series using sigma notation.
4 + 16 + 64 + 256 + 1,024
Answer:
EASSYYY
Step-by-step explanation:
1364
The series using sigma notation is [tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]. Therefore, option A is the correct answer.
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
Given that, sum = 4 + 16 + 64 + 256 + 1024
Using sigma notation, this can be expressed as:
[tex]^5\sum_{n=1}=4(4)^{n-1}[/tex]
Therefore, option A is the correct answer.
Learn more about the sum of the infinite series here:
brainly.com/question/11752555.
#SPJ2
Laura is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than 14 square inches. (Laura doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle.
Answer:
{1/2 (b)(h) = Area of a triangle}
1/2(b)(4) < 14
2b<14
B<7 in
What is the area of the shaded region use 3.14 for the pie and round your answer to the nearest tenth. 6cm and 10cm
The answer is 50.2^2. You find the area of the outer circle and the middle circle. Then subtract the area of the smaller one from the larger one.
I WILL GIVE BRAINLIEST TO WHOEVER DOESNT USE A LINK OR FILE AND JUST ANSWERS THE QUESTION
what would be the answer tp 5 times 2
Answer:
Step-by-step explanation:
The answer to 5 times 2 will be
2 x 5 = 10
Write a formula for r in terms of θ for the following figure.
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
a bottle of orange juice costs 3.50 and a bottle of grape juice costs 5.30. what is the difference in the price be between the orange juice and the grape juice
Answer:
1.8
Step-by-step explanation:
.............................
which table represents a function? iready end of year test ! please help!! quick
Answer:
top left
Step-by-step explanation:
a function is if there is only one number that isnt the same as the other x
Write the ratio 1:8 : 4:2 in its simplest form
Answer:
1/8 and 2/1 or 1:8 and 2:1
Step-by-step explanation:
A store is having a sale on jelly beans and almonds for 3 pounds of jellybeans in 2 pounds of almonds the total cost is $10 for 5 pounds of jellybeans in 6 pounds of almonds the total cost is $24 find the cost of each pound of jellybeans and each pound of almonds
Answer:
each lb of jellybeans = $1.50
each lb of almonds = $2.75
Step-by-step explanation:
let j = jellybean cost for each pound
let a = almond cost for each pound
3j + 2a = 10
5j + 6a = 24
Using elimination method:
15j + 10a =50
15j + 18a = 72
------------------------
-8a = -22
a = 2.75
using 3j + 2a = 10
3j + 2(2.75) = 10
3j + 5.5 = 10
3j = 4.5
j = 1.5
Urgent!
On a math test, a group of students received the following scores:
68, 98, 86, 75, 86, 94, 75, 81, 75
Find the MODE of the test scores.
Answer:
The mode is 75
Step-by-step explanation: It is the one that appears most often
What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?
A) 24
b) 12
c)32
d) 40
e) 20
Answer:
e) 20
Step-by-step explanation:
Segment lengths:
|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6
|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4
because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20
PLEASEEE!!! HELPPP MEEE!!! IM BEGGINGGG!!!!! PLEASEEE!!!
Option B.
(-5,-3) is located in Quadrant 3 only.
Answer:
B) quadrant 3 only
Step-by-step explanation:
is (6,-1 ) a solution to this system of inequalities?
y<x+2
y>3-2x
Answer:
Yes
Step-by-step explanation:
-1 < 6 + 2 True
-1 > 3 - 2(6)
-1 > 3 - 12
-1 > -9 True
(no links or files) Solve this equation using the quadratic formula. This question should be solved both ways. (1) Quadratic Formula and (2) Factoring
A fair coined is flipped what is the probability it will land on its head
Classify the following triangle in as many ways as possible.
A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How many people can go to the amusement park?
Answer:
Step 1:
Subtract $19 from total
366.50 - 19 = 347.5
Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10
Step 3:
You have your answer
10 people can go to the amusement park
Answer:
as many as 11 people
Step-by-step explanation:
n = # of people
5.50 + 34.75n ≤ 387.75
subtract 5.5 from each side to get:
34.75n ≤ 382.25
divide each side by 34.75
n ≤ 11
PLEASE HELP.
Select the correct answer.
Solve the system of equations below.
5x + 2y = 9
2x - 3y = 15
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
I need the answer for this, please help!
Answer:
about 66 or 64
Step-by-step explanation:
Carl is buying tickets for a group of students to visit a museum
.
There is a one-time order fee of $15.
There is also a charge of $9 per ticket.
Which function can be used to find a, the total amount Carl pays in dollars when n tickets
are purchased?
F a = 241 +9
G a = 9n + 15
Ha = 15n +9
Ja = 9n + 24
Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Answer:
See below.
Step-by-step explanation:
Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.
The frequency table shows the scores from rolling a dice.
Score Frequency
1 3
2 8
3 8
4 5
5 8
6 3
Work out the mode.
Answer:
3, 8
Step-by-step explanation:
Jasmine is getting a new playground in her backyard she graphed them playground area on the coordinate grid shown blow Each square on the diagram represents 1 square foot.what is the area of the playground
Answer:
c=72
Step-by-step explanation:
7x8=56
4x8/2=16
56+16=72
Find the surface area of a sphere with a diameter of 12 mm.
Answer:
A≈4.52×10-4m²
Step-by-step explanation:
Unit Conversion:
d=0.012m
Using the formulas
A=4πr2
d=2r
Solving for A
A=πd2=π·0.0122≈4.52389×10-4m²
Answer:
1809.5574 mm²
Step-by-step explanation:
Input Data :
Length = 12 mm
Objective :
Find what is the surface area of the sphere for given input data?
Formula :
Surface Area = 4πr2
Solution :
Surface Area = 4 x 3.1416 x 122
= 4 x 3.1416 x 144
Surface Area = 1809.5574 mm²
Can someone explain to me how to do this?
Help me please,it is just regular 5th grade science
Answer:
Mirror
Step-by-step explanation: