Answer:
3
Step-by-step explanation:
50 points!!! Please Help!!! Will give Brainliest!!!
THAT IS not 50 points, that is just 25 points
Answer:
okay but i dont see the problem
Step-by-step explanation:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum area? What is that area?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?
Solution:
Given the parabola:
y = 81 - x²
Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).
Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.
The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a
The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²
Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³
A = 162a - 2a³
The maximum area is at dA / da = 0
dA / da = 162 - 8a² = 0
162 - 6a² = 0
6a² = 162
a² = 27
a = 5.2 units
Length = 2a = 2(5.2) = 10.4 units
Breadth = 81 - a² = 81 - 5.2² = 54 unit
Area = length × breadth = 54 × 10.4 = 561 unit²
Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $
Joanne designs and sells t shirts through an online forum. she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt. She charges 6 dollars per shirt. Determine how many t shirts Joanne needs to sell in order to break even.
Answer:
20 shirts
Step-by-step explanation:
We are told she paid 80 dollars for general supplies. It costs her 2 dollars to make each t shirt.
Total cost of production is;
80 + 2t
Where t is number of t-shirts.
We are told that She charges 6 dollars per shirt.
This means that total revenue from sales is; 6t
Now,in economics or business, break even point is the point where revenue and total cost are equal.
Thus, break even point will be at;
80 + 2t = 6t
6t - 2t = 80
4t = 80
t = 80/4
t = 20 shirts
Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles. How many times the length of Priya’s run was Tyler’s run?
Answer:
2.5
Step-by-step explanation:
The length of Priya’s run was 2.5 times Tyler’s run.
Given
Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles.
To determine how many times the length of Priya’s run was Tyler’s run following all the steps given below.
Let, the distance covered by Priya be x and Tyler be y.
Priya ran 1 1/2 miles today.
Then,
[tex]\rm = 1 \dfrac{1}{2}\times x\\\\= \dfrac{2\times 1+1}{2}\times x\\\\= \dfrac{2+1}{2}\times x\\\\=\dfrac{3x}{2}[/tex]
Tyler ran 3 3/4 miles.
[tex]\rm = 3 \dfrac{3}{4}\times y\\\\= \dfrac{4\times 3+3}{4} \times y\\\\= \dfrac{12+3}{4} \times y\\\\= \dfrac{15y}{4}[/tex]
On comparing both the distance
[tex]\rm \dfrac{3}{2} \times x= \dfrac{15}{4}\times y\\\\x = \dfrac{5y}{2} \\\\x = 2.5y[/tex]
Hence, the length of Priya’s run was 2.5 times Tyler’s run.
To know more about Equation click the link given below.
brainly.com/question/20170569
PLEASE HELP!!!
Which expression is equivalent to 4sin^2(x) - 8sin^2(x/2)
Answer:
4(sin^2(x) -2sin^2(x/2))
Step-by-step explanation:
Matter of factorising
Answer:
It is 4(cos(x)-cos^2(x))
Step-by-step explanation:
I used an app on chegg and found that this is the only answer that is equivalent
If a vector that is 1cm long represents a velocity of 10 km / h, what velocity does a vector 2 m long drawn to the same scale represent?
Answer:
V = 2000 km/h
Step-by-step explanation:
Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm
then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)
then we have to solve the following proportion to obtain the velocity "V":
10 km/h / 1 cm = V / 200 cm
multiply both sides by 200 to solve for V:
V = 2000 km/h
For the expression: 12 - 7k + 9 - k
What are the terms?
What are the like terms?
What are the coefficients?
What are the constants?
What is the expression simplified?
Answer:
like terms is -7k-k and 12+8
What is -7 as a fraction
Answer:-7/1
Step-by-step explanation:
Answer:
-7/1
Step-by-step explanation:
Simplified form of this expression 5z-8-4z-3z+6
Answer:
-2z-2
Step-by-step explanation:
5z-8-4z-3z+6
5z-4z-3z-8+6
-2z-2
Answer:
-2z -2
Step-by-step explanation:
5z-8-4z-3z+6
5z -4z - 3z +6 - 8
-2z -2
An employee earned $21,871 this year. This was a raise of 4% over last year. What was his salary last year? Round to the nearest dollar, if necessary.
O A. $21,784
O B. $21,030
OC. $21,867
OD. $20,996
O E. None of these
Answer:
D
Step-by-step explanation:
21,871 x 0.96 = 20,996
Solve for n: n/3 > 66 2/3
Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).
Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.
The distance around a park is 3/2 miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride? Ill mark you brainliest:3
Answer:
2 times
Step-by-step explanation:
Answer:
2 times
Step-by-step explanation:
4r + 6r - 13 = 7r + 5
The original price of a shirt was 20$. It decreased to 15$. what is the percent decrease of thee price of this shirt ?
HURRY
One-fourth of the sum of 2p and 11: and show your work please
Answer: 0.5p + 2.75
Step-by-step explanation:
since it's one-fourth of it you can divide it by 4
to find the solution.
Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed
Answer:
[tex]Codes= 512[/tex]
Step-by-step explanation:
Given
[tex]Switches = 9[/tex]
[tex]Controls = 2[/tex] ------- on or off
Required
Determine the number of codes to be programmed
Since each switch has any of the on or off controls (i.e on or off), then:
The first switch can be coded in any of the 2 controls
The second switch can be coded in any of the 2 controls
The third switch can be coded in any of the 2 controls
Up till the ninth switch
So, we have that:
[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]
[tex]Codes = 2^9[/tex]
[tex]Codes= 512[/tex]
Hence, there are 512 possible codes
2.1-?=1 1/2
Please answer this I don’t want to fail
Find the measures of angles A, B, and C in triangle ABC
m < B=3* m
m
Answer:
what type of question is this
Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27
Answer:
Recursive formula is: [tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]
Explicit formula is: [tex]a_n=7n-8[/tex]
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:[tex]a_1= First \ term[/tex] and [tex]a_n=a_{n-1}+d[/tex]
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:
[tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]
Finding Explicit Formula
The explicit formula is of type: [tex]a_n=a_1+(n-1)d[/tex]
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:
[tex]a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8[/tex]
So, explicit formula is: [tex]a_n=7n-8[/tex]
Find an equation in standard form that has the following roots (-5,0) (6,0)
Answer:
x²-x-30=0
Step-by-step explanation:
so the roots are -5 and 6
we can find the exquation by knowing that
(x-root1)(x-root2)=the equation
(x+5)(x-6) distribute
x²-6x+5x-30 combine like terms
x²-x-30
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
not for sure tho
SOMEONE HELPPPPP PLEASEEEEE
Answer:
15. 0
16. Infinate
17. Infinate
18. -3
19. 11/-6
20. 0
Step-by-step explanation:
Im not explaining for each cause that would take too long, just know you plug in the y and x into the formula y1-y2/x1-x2. So for the first one, you would have -1--1 / 4--2 but when there are two subtractions signs it turns into a plus so -1+1 / 4+2
Select the correct answer.
Which one of these functions is a cubic function?
Answer:
B
Step-by-step explanation:
A cubic function begins with an X^3.
Which transformations map the strip patterns onto itself?
Answer: D.
A horizontal translation and a glide reflection.
If 8 g of a radioactive substance are present initially and 2 yr later only 4 g remain, how much of the substance will be present after 5 yrs?
Answer:
none
Step-by-step explanation:
8-4=4
if every 2 years, 4 gallons disappear
then every 1 year, 2 gallons disappear
meaning that by 5 years there will be no substance left.
(5*2=10)
I need help with question 2 please answer
Answer:credit to gail2104lp42 but its 4/3 i think
Step-by-step explanation:
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How much paint will he need to cover 7m2;?
Answer: He will need 8.4 liters to conver 7 m².
Step-by-step explanation:
1. You have that 1 m² is convered with 1.2 liters of paint.
2. Therefore, to solve this problem, you can calculate the liters needed to cover 7 m² by multiplying this area by 1.2 liters and dividing this by 1 m².
Three times a number is less than 96.
Answer:
x is greater than sign then 32
Step-by-step explanation: