Answers
Answer:
Cartesian Equation: y = √(1 - x^2)
Graph: Second one
Step-by-step explanation:
x^2 = sin^2(θ/2),
y^2 = cos^2(θ/2),
According to that theory, by the circle equation, x^2 + y^2 = 1^2.
When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0
When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0
The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;
When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,
In Cartesian form, the equation is y = √(1 - x^2)
Related Questions
What TWO requirements does a graph need to meet to be considered proportional?
Answers
Answer:
straight line and it needs to go through the origin
True or false in order of operations Wyndham motivations and division Multiplication always comes first
Answers
Answer:
True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.
When estimating you should use what numbers
Odd
Even
Large
Round
Answers
Answer:
Round
Step-by-step explanation:
what is the greatest common facter of 48 and 84
Answers
Answer:12
Step-by-step explanation:
The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12
A rectangle has a side length of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle.
Answers
Answer: 2
Step-by-step explanation: ( l + w )
Can you help me please
Answers
Answer:
pretty sure 8.5 inches
Step-by-step explanation:
Answer:
68 inches
Step-by-step explanation:
16 + 1 = 17
16 divided by 2 = 8
so 8 x 8 = 64
so that leaves one year- 4 inches
64+4=68
PLEASE HELP
DUE SOON
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.53 +25x - 120
models the profit of the fundraiser. What's the
smallest amount, in dollars, that you can charge and make a profit of at least $105?
Answers
Answer:
$9.03
If you want smallest amount it dollars, you have to go with $9. However, this will only give you a profit of $104.47
Step-by-step explanation:
p = -0.53 +25x - 120
105 = -0.53 +25x - 120
225.53 = 25x
x = 9.0212
Check work:
105 = -0.53 +25(9.02) - 120
105 ≠ 104.97
Since $9.02 doesn't equal $105 profit, let's add a penny to make it $9.03.
105 = -0.53 +25(9.03) - 120
105 ≠ 105.22
If you charge $9.03 for each box you will make a profit of at least $105.
Round to smallest amount in dollars:
105 = -0.53 +25(9) - 120
105 ≠ 104.47
Carl wheezer and shaggy are doing the macarena
If Shaggy is using .26% of his power
How much is Carl using?
Answers
.74% ar least or else he would crumble
Answer: .74%
Step-by-step explanation: 1-0.26=0.74
Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.
Answers
Answer:
Small boxes contain 60 paperclips and large boxes contain 175 paperclips.
Step-by-step explanation:
1. Set up two simultaneous equations:
Use s for small boxes and l for large boxes. (You could use any letters)
4s + 5l= 1115
3s + 2l= 530
2. Number the equations:
4s + 5l= 1115 (1)
3s + 2l= 530 (2)
3. Multiply both equations to get the same number of ls (for different questions the letters might be different):
(1) x 2:
8s + 10l= 2230 (3)
(2) x 5:
15s + 10l= 2650 (4)
4. Subtract one from the other to get rid of the ls:
(4) - (3)
8s + 10l= 2230
- 15s + 10l= 2650
7s =420
5. Solve for s:
s= 420/7= 60
6. Substitute the s value into one of the original equations to find l:
4 x 60 + 5l= 1115
240 + 5l= 1115
5l= 1115 - 240
5l= 875
l= 875/5= 175
Please Help ASAP -
Lauren is saving for a new purse that costs $65. She already has $14 and will earn $2 for a weekly allowance. Her dad will also give her $3 a week for good behavior. How many weeks will it take before Lauren has enough money for her new purse?
Answers
Answer:10 weeks
Step-by-step explanation:
Logarithms:
A law was established, in which it considers that a driver who has more than 0.8 grams of alcohol per liter of blood, is in a state of drunkenness. It is estimated that the risk that a person has of suffering an accident when driving a vehicle under the influence of alcohol is given by the expression [tex]R(x) = 6 * e^{kx}[/tex] , where R(x) is the risk expressed as probability, X is the concentration of alcohol in the blood and K a constant:
A) Calculate the value of the constant K knowing that the concentration of 0.04 g / L of alcohol in the blood (x = 0.04) corresponds to an accident risk of 10% (R = 10)
B) A person who, according to the Law, drives while intoxicated, that is to say 0.8 g / L in blood, what are the risks of suffering an accident?
C) If a driver is under the influence of alcohol, that is 0.3 g / L, what is the risk of having an accident?
(Develop each one step by step)
Answers
Answer:
A) k = 18.75B) R(0.8) = 161419C) R(0.3) = 275Step-by-step explanation:
Given expression
R(x) = 6*e^(kx)A) Given
x = 0.04R = 10Solving for k
10 = 6*e^(0.04k)e^(0.04k) = 10/6ln (e^0.04k) = ln (1.6666)0.04k = 0.51k = 0.51/0.04k = 12.75B) Given
x = 0.8R= ?The value of R(0.8) is:
R(0.8) = 6*e^(0.8*12.75) =6*e^(10.2) = 161419 roundedC) Given
x = 0.3R = ?The value of R(0.3) is:
R(0.3) =6*e^(0.3*12.75) = 6*e^(3.825) =275 roundedI really need help please
Answers
1+9
Answer
10
Easy question for easy points
Answers
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Step-by-step explanation:
If 999 is divided by 4, what is the remainder?
Answers
Answer The remainder Is 3
solve for x and show your work
5x-9=38
Answers
x = 9.4
5x - 9 = 38
5x = 47
x = 9.4
Answer:
The answer is x= 9.4
Step-by-step explanation:
5 x 9.4= 47
47-9=48
P.S. I tried very hard so your welcome :)
IM TIMED HELP PLS , solve the system of equations using substitution method , y = 2x + 8 , y = 4x - 2
Answers
Answer:
x=5, y=18
Step-by-step explanation:
y=2x+8
x= (y-8)/2
Substitute in second equation,
y= 4((y-8)/2) -2
y= 2(y-8)-2
y= 2y-16-2
16+2=2y-y
18=y
Replace y value in first equation to find x,
18= 2x+8
18-8=2x
10=2x
5=x
HELPPPPP NOOOWWWW PLEASE Seventh grade has already saved $60 for a field trip to Hersheypark they need to raise at least $720 in order to pay for the trip they decide to sell T-shirts to raise money they earn $12 toward the trip for every t-shirt they sell. Ryan the quality that represents the situation? How many teachers must they sell to earn at least $720?
Answers
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
Answer:
60
Step-by-step explanation:
$720 divided by $12 is 60.
I don't think I did this right.
Nope prolly not
B. A certain chocolate bar costs $50.00 per piece. However, if you buy more than
5 pieces they will mark down the price to P48.00 per piece. Use a piecewise
function to represent the cost in terms of the number of chocolate bars bought.
Answers
Answer:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Step-by-step explanation:
A piecewise function is a function that acts differently in different regions of the domain.
In this case we know that:
P = $50.00 per piece if the number of pieces is less or equal than 5.
P = $48.00 per piece if the number of pieces is more than 5.
Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
The sales tax on a pair of jeans is 7%. if juan paid $3.15 in tax, what was the cost of the jeans before tax?
Answers
Answer:
2.93
Step-by-step explanation:
3.15×7/100=0.2205
3.15-0.2205=2.9295
The cost of the jeans before tax $2.9295
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
Let 'a' be the original price of the jeans.
Let 'b' be the price of the jeans with tax.
then, b = a + tax
Juan paid $3.15 in tax for the jeans.
The sales tax on a pair of jeans is 7 percent.
First we find the tax on a pair of jeans.
⇒ tax = b × 7%
⇒ tax = 3.15 × (7/100)
⇒ tax = $0.2205
We need to find the cost of the jeans before tax.
Here, b = $3.15, tax amount = $0.2205
⇒ b = a + 0.2205
⇒ 3.15 = a + 0.2205
⇒ a = 3.15 - 0.2205
⇒ a = $2.9295
Therefore, the cost of the jeans before tax $2.9295
Learn more about percent here:
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Helppppppppppp?????!!!!!!
Answers
i’m so happy to help you!
so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.
5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.
have a wonderful day!!
cookiebrookie∞☻
Which expressions below equal a rational number? Select all that apply.
Answers
The boundary line is dashed when the inequality is .
Answers
Answer: < or >
Step-by-step explanation:
Two turtles come from opposite sides of the road, starting at the same time and moving at the same speed. When they met, they jvere 72 inches from the right hand edge of the road. How wide is the road?
Answers
Answer:
144 inches
Step-by-step explanation:
If they are moving at the same speed and start at the same time, they have to go the same distance
That means they will meet in the middle
If they are 72 inches from the right side that means the middle is 72 inches from the right side
The road is 2 times 72 inches
2*72 = 144
144 inches
5. A gift box is 8 inches long, 3 inches wide
and 4 inches tall. What is the approximate
length of its longest diagonal?
A. 9.4 inches
B. 10.2 inches
C. 15 inches
D. 89 inches
Answers
Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6
Answers
The metal day fair has a recycling center that will a pay 10% early fee on the amount collected plus $2.75 for each metal collected to be recycled .If Isa brings 12.5 kilograms of metal to be recycled which is the closet amount of money she will receive.
Answers
Answer:
$37.8125
Step-by-step explanation:
$2.75 x 12.5 = 34.375
34.375 x 10% = 3.4375
$34.375 + 3.4375 = 37.8125
Translate the sentence into an equation.
Nine less than the product of 8 and a number is 7.
Use the variable b for the unknown number please help me out
Answers
After translate the sentence into equation, the equation is,
⇒ 8b - 9 = 7
Where, b is any number.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The algebraic expression is,
⇒ Nine less than the product of 8 and a number is 7.
Now, Let a number = b
So, We can formulate the mathematical expression as;
⇒ 8 × b - 9 = 7
⇒ 8b - 9 = 7
Thus, The equation is,
⇒ 8b - 9 = 7
Learn more about the mathematical expression visit:
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The value of investments in the stock market change daily. Suppose you buy a stock for $4,811. It increases in value by 7% and then decreases 8% and then increases again by 9%. What is the new value?
Answers
what is the length of AC
Answers
Answer:
13
Step-by-step explanation:
count A up to C
Which of the following is equal to 7 & 1/4?
Answers
Answer:
B
Step-by-step explanation:
When you raise something to the power of '1 over n', it is the same as taking the nth root.
Example:
[tex]16^{\frac{1}{4}} = \sqrt{16} =4[/tex]
