Answer:
a₂₀ = 75
Step-by-step explanation:
Substitute n = 20 into the n th term rule , that is
a₂₀ = 4(20) - 5 = 80 - 5 = 75
What is the following product?
(x√7-3√8)(x√7-3√8)
Elizabeth wants to ride her bicycle 28.6 miles this week. She has already ridden 19 miles. If she rides for 3 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.
Answer: The average number of miles she would have to ride each day to meet her goal = 3.2 miles.
Step-by-step explanation:
Given: Elizabeth wants to ride her bicycle 28.6 miles this week.
She already ridden 19 miles.
Number of days she will ride more =3
Let m = average number of miles ridden in a day.
Then,
Total distance = initial distance + (m) (Number of days)
i.e. 28.6 = 19+3m (Required equation)
Subtract 19 from both sides , we get
[tex]9.6=3m\\\\\Rightarrow\ m=\dfrac{9.6}{3}\\\\\Rightarrow\ m=3.2\ miles[/tex]
Hence, the average number of miles she would have to ride each day to meet her goal = 3.2 miles.
What is 1/2^4 or one over two to the power of four?
Answer:
16 or 1/16
Step-by-step explanation:
1/2)^4 = (1) / 2^4 = 1/16
Write an equation for the circle
Given:
The graph of a circle.
To find:
The equation of the given circle.
Solution:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is vertex and r is the radius.
From the given graph it is clear that the radius of the circle is 4 units and the center of the circle is (-2,2).
Putting [tex]h=-2, k=2[/tex] and [tex]r=4[/tex] in (i), we get
[tex](x-(-2))^2+(y-(2))^2=(4)^2[/tex]
[tex](x+2)^2+(y-2)^2=16[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-2)^2=16[/tex].
SOMEONE PLEASE HELP ME WITH MATHHHH
A square has a side length of x inches. Each side of the square will be increased by 8 inches to create a larger square. If the larger square has a perimeter of 40 inches, what is the side length, in
inches of the original square?
Find the function h(x) = f(x) + g(x) if f(x) = 4^x + 2 and g(x) = x - 4.
h( x) = 4 x + 1 -2
h( x) = 4 x + x + 6
h( x) = 4 x - 4
h( x) = 4 x + x - 2
Answer:
h( x) = 4^x + x - 2
Step-by-step explanation:
h(x)=f(x)+g(x)=4^x+2+x-4=4^x+x-2
You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions of the walkway are x. Write a polynomial that expresses the area of the swimming pool.
Answer:
[tex]A = 4x^2 + 86x + 450[/tex]
Step-by-step explanation:
Given
[tex]Walkway = x[/tex]
[tex]Length = 18[/tex]
[tex]Width = 25[/tex]
Required:
The area of the swimming pool
Assume the walkway will be on the 4 sides of the swimming pool.
The total length (L) of the swimming pool will be:
[tex]L = 18 + x + x[/tex]
[tex]L = 18 + 2x[/tex]
The total width (W) will be:
[tex]W = 25 + x + x[/tex]
[tex]W = 25 + 2x[/tex]
The area (A) is:
[tex]A = L * W[/tex]
[tex]A = (18 + 2x) * (25 + 2x)[/tex]
Expand bracket
[tex]A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x[/tex]
[tex]A = 450 + 36x + 50x + 4x^2[/tex]
[tex]A = 450 + 86x + 4x^2[/tex]
Reorder
[tex]A = 4x^2 + 86x + 450[/tex]
Please help.
Is algebra.
Answer:
x = -3 , y =1
Step-by-step explanation:
4. Are the triangles below similar? Explain
your reasoning.
Answer:
No, the triangles are not the same because the angles within in the triangle are different making the sides different lengths making the triangle a different type
Solve the system using elimination.
4x-7y =6
x-7y = 9
The solution is ??
Answer:
{x,y} = {-1,-10/7}
Step-by-step explanation:
Which equation matches the given graph?
A. f(x) = x^2 - 2x - 4
B. f(x) = x^2 - 3x + 16
C. f(x) = 2x^2 - 4x - 2
D. f(x) = 2x^2 + 12x + 16
Answer:
B
Step-by-step explanation:
Rectangle ABCD is rotated about the origin to form rectangle A'B'C'D'. The perimeter of ABCD is 16 units.
PLEASE HELPPP
Answer:
16units
Step-by-step explanation:
It was only rotated. It's area and perimeter stay the same.
Answer:
6 units
Step-by-step explanation:
may be this can help you
Beth and Bryce sign on a $205,000 mortgage at a 5% annual interest rate for 30 years. This results in a monthly payment of $1100.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her balance?
Answer: $246.31
Step-by-step explanation:
The monthly payment of $1,100.48 is going to be divided into interest and principal repayment which is the one that reduces her balance.
The interest payment is based on the interest rate which is 5%.
Monthly interest is:
= 205,000 * 5% * 1/12 months because it is monthly
= $854.17
The amount that goes towards reducing her balance is:
= Monthly payment - Interest payment
= 1,100.48 - 854.17
= $246.31
Noah's cousin is exactly 7 years younger than Noah. Let M represent Noah's cousin's age in months and N represent Noah's age in years. 1. If Noah is 15 years old, how old is his cousin, in months? 2. When Noah's cousin is 132 months old, how old is Noah, in years? 3. Write a function that gives the age of Noah's cousin in months, as a function of Noah's age in years. 4. Write the inverse of the function you wrote. What are the input and the output of this inverse function?
Answer:
1,if Noah is 15 his cousin is 8 or 96 months
2, and when Noah's cousin is 132 months or 11 years old Noah will be 18
3,n-[[7]12]=age of Noah's cousin
Step-by-step explanation:
1,15-7=8
1 part 2, 8*12=96
2,132/12=11
2 part 2,
11+7=18
3,n-[[7]12]=age of Noah's cousin
4,n+[7/12]
if n=18
18+[7/12]
or
18+0.5833=18.5833
Lucius sells jellyfish jam part-time. He is paid a monthly commission. He receives 30% of his first $900 in sales and 25% of the rest of his sales. Last month he sold $2,600 worth of jam. How much commission did he earn last month?
Answer:
695
Step-by-step explanation:
First I would septate the 900 from the 2600
2600-900=1700
Then I'll take both %s and turn them to decimal 25%-0.25 30%-0.30
I take the 900 times the 0.30 and the 0.25 times 1700
900x0.30=270
1700x0.25=425
then add them both together
270+425=695
Question 3
Simplify a4 x b x a4 x b
15/3 = 45/x
solve for x
Answer:
15/3=45/x
We move all terms to the left:
15/3-(45/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
-(+45/x)+15/3=0
We add all the numbers together, and all the variables
-(+45/x)+5=0
We get rid of parentheses
-45/x+5=0
We multiply all the terms by the denominator
5*x-45=0
We add all the numbers together, and all the variables
5x-45=0
We move all terms containing x to the left, all other terms to the right
5x=45
x=45/5
x=9
Step-by-step explanation:
brainliest for correct answer
Answer:
the answers are A， B, and E
Step-by-step explanation:
the equation is y=-x+2, so A is right
(y-3)=-(x+1) equals y=-x+2 B is correct
y+1=-x+3 equals y=-x+2 E is correct
What is the input value when the output value is 31.5?
HELP PLEASE ASAP
Answer:
The correct Answer is 9 my good sir ( or ma'am )
Step-by-step explanation:
Simple, just flip the equation around and change the multiplication sign to a division sign.
So basically with all planks filled in its 9 times 3.5 which is equal to 31.5
Brianliest? :/
Hope I helped
The bill for dinner was $31.24. You left $4.76 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
Answer: I believe about 15-16%
Step-by-step explanation: yeah
HELP DUE IN 30 MINS!
Use right triangle trig to solve for the missing angles. Round all answers to the nearest tenth (one decimal place).
x=??
Answer:
Use sine for this
sin 72° = 15/xx = 15 / sin 72 °x = 15.8 (rounded)Answer:
relationship between perpendicular and hypotenuse is given by sin angle
sin72=p/h
sin72=15/x
x=15/sin 72=15.77=16
given f(x)=-x+2 find f(-6)
Answer:
8
Step-by-step explanation:
Substitute -6 for every x in the equation:
f(-6) = -(-6) + 2
Solve the right side of the equation:
6 + 2
=8
0.36 x 20 = x10
14 divided by 50 = +100
need ASAP please help
Answer:
0.36 × 20 = 7.2
7.2 × 10 = 72
14 ÷ 50 = 0.28
0.28 + 100 = 100.28
If you stand 57 feet from the base of a building, you need to look up at a 55° angle to see the top of
the building. What is the height of the building? Round your answer to the nearest tenth.
What are the coordinates of D'?
PLEASE HELPPPP
Answer:
(0,3)
Step-by-step explanation:
hope this helps :)
The sum of b and its reciprocal
Answer:
(b^2+1)/b
Step-by-step explanation:
The reciprocal of b is written as 1/b
The sum of b and 1/b is expressed as;
b + 1/b
Sind the LCM
= b(b)+1/b
= (b^2+1)/b
Hence the sum of b and its reciprocal is (b^2+1)/b
In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.
Answer:
a
Step-by-step explanation:
a
Answer:
31.8, 148.2
Step-by-step explanation:
dont do 31.08, i tried and it marked me wrong :(
What's another way to define absolute value?
The opposite of a number
The multiplicative inverse of a number
The distance of a number from zero
a. n
The value of a number
Answer:
the distance of a number from zero
Step-by-step explanation:
in other words, it is the positive value of the number.
if the number is negative then the absolute value is the positive of it.
if the value is positive, then it is still positive.
if billy has 7 friends and he loses 6 friends and then gains 4 friends and then loses five friends, how many friends does billy have?
Answer:
Billy ain't got no friends. I'll be his therapist.