The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
For more such questions on terminal point on the unit circle
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Vivian put $2,300 into an interest-bearing savings account. Her account balance, in dollars, after 6 years can be calculated using the expression shown below. Use the given expression to complete the statements. The quantity that represents Vivian's initial deposit is . The quantity that represents the rate at which the account is increasing is , which means the interest rate is %.
Answer:
The quantity the represents Vivian's initial deposit is $2,300. The quantity that represents the rate at which the account is increasing is 1.05, which means the interest rate is 5%.
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
Identify which line from the graph the following right triangles could lie on.
Answer:
Step-by-step explanation:
Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{9}{3}[/tex]
= 3
Slope of line B = [tex]\frac{9}{6}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of line C = [tex]\frac{6}{8}[/tex]
= [tex]\frac{3}{4}[/tex]
5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{90}{120}[/tex]
= [tex]\frac{3}{4}[/tex]
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]
= [tex]\frac{3}{4}[/tex]
Given triangle may lie on the line C.
8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]
= 3
Given triangle may lie on the line A.
80 + (-25) =
integers
Adding a negative is the same as subtracting a positive number.
80 + (-25)
80 - 25
= 55
Best of Luck!
When using Newton's Method to find the root of a linear function f(x) = ax + b, a 70, how many iterations of the method are required to find the root at r = R?1 4 2 There is no fixed number. It depends on the intial guess xo.
Answer:
It depends on the initial guess Xo
Step-by-step explanation:
The number of iterations required to find the root at r = R depends on the initial guess Xo, this is because when using Newton's method for finding roots, you will need to pick an initial guess and this will be followed by an iterative process which would converge to a solution. The number of roots before the converging will take place depends on the initial guess Xo made
HELPP!! Find the x with the details in this picture ^
Answer:
y≈5.56
Step-by-step explanation:
[tex]\angle KLM=136\\\\\angle KLN=47\\\\\angle NLM=16y\\\\\angle KLM=\angle KLN+\angleNLM\\\\136=47+16y\\\\136-47=16y\\\\136-36-11=16y\\\\100-11=16y\\\\89=16y\\\\y=\frac{89}{16}\\\\y=5.5625[/tex]
Answer:
y = 5.56
Step-by-step explanation:
Use the total, measure KLN = 136⁰ and subtract measure KLN = 47 from measure KLM. Then do 89/16 = 5.5625. Then round to the hundredths, 5.56.
[136 - 47 = 89]
[89 / 16 = 5.5625]
[Round to 5.56]
7(-8)-2y=-52
help....
Answer: Y = -2
Step-by-step explanation:
7(-8) -2y = -52
-56 - 2y = - 52
- 2y = 4
Y = -2
Answer:
Step-by-step explanation:
x = -8 so replace x with -8.
It should be 7(-8) - 2y = -52
Multiply 7 and -8 you get -56
You are left with -56 - 2y = -52
add -56 on both sides to get it on the other side
You will be left with -2y = 4
Divide by -2y on both sides
You'd get y = -2
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answer: The values of both x and y will be real numbers greater than or equal to 0
Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.
The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0
What is a Real Number?
This refers to the union of both rational and irrational numbers that can have negative or positive values.
From the given information:
Peaches are being bought and sold
There is no negative value used
The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0
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Can someone tell me the solutions to this please its urgent
Answer:
The first one is 20
The second one is 18
And the last one is 4
The price for video game A is $15 more than the price for video game B. If the total of these two prices is $39, find the price of each game.
and the cost for video game B is $
The cost for video game A is $
(Type integers or decimals.)
Answer:
Video Game A: $27
Video Game B: $12
Step-by-step explanation:
First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.
y < 2x - 5
Which of the following graphs represent the inequality?
Answer: C
Step-by-step explanation:
For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.
This graph shows the solution to which inequality?
Subtract. Add to check: 512,724-96,473
Answer: =512,628,473
Step-by-step explanation:
Answer:
416251
Step-by-step explanation:
I used a calculator
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters
Answer:
2760
Step-by-step explanation:
I really don't know I just did 32x120
Need soome help on this homework question thanks
Answer:
See Below
Step-by-step explanation:
I need help on this please
Answer:
angle 1
Step-by-step explanation:
Answer: Angle 1
Explanation:
Vertical angles are angles that are opposite one another, and they are formed when you cross two lines. The pairs of vertical angles are...
Angle 1 and angle 4Angle 2 and angle 3Angle 5 and angle 8Angle 6 and angle 7Chapter
1
Review & Refresh
Simplify the expression.
1. 18x - 6x + 2x
2. 4b – 7 – 15b + 3
3. 15(6-g)
4. –24 + 2(y – 9)
Please help me with these 4 problems!!:))
Answers:
1) 18x - 6x + 2x = 14x
Combine like terms by subtracting 6 from 18 and adding 2
2) 4b - 7 - 15b + 3 = - 11b - 4
Combine like terms add 4b and - 15b ; add -7 and 3
3) 15(6-g) = 90 - 15g
Distribute the 15 to both terms
4) -24 + 2(y - 9) = 2y - 42
Distribute the 2 to (y-9) and combine like terms
dot is taller than dab but shorter than dee, and dave is taller than don prove: E is the last letter of the name of the tallest person
Step-by-step explanation:
It starts off by saying Dot is taller than Dab.
Then it says he is shorter the dee.
Then it states that another name dave is taller then don.
We dont necessarily know if dee or dave is the tallest but both of there last names end with E so it proves the question at hand.
A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.
Please find full question attached
Answer:
6584.4595( to four decimal places)
Explanation:
Please find full explanation attached
A map is drawn to scale so that a length of 1 inch represents an actual distance of 6 miles. If two
towns are 30 inches apart on the map, what is the actual distance between the two towns?
Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you
"Supplementary" angles add up to 180°.
Opposite angles are supplementary, so . . .
(12x - 4) + (19x - 2) = 180°
Clear the parentheses: 12x - 4 + 19x - 2 = 180°
Add up all the x's on the left side: 31x - 4 - 2 = 180°
Add up the plain old numbers on the left side: 31x - 6 = 180°
Add 6 to each side: 31x = 186°
Divide each side by 31 : x = 6°
Well ! Now that you know that x = 6° . . .
Angle EPC is (12x - 4)°
That's (12·6 - 4)°
Which is (72 - 4)°
Which is 68°
A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?
Answer:
can we be friends
Step-by-step explanation:
Write 4/9 as a decimal?
Answer: 0.44
Step-by-step explanation:
Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.
Answer:
c and d?
Step-by-step explanation:
im not sure if thats right but those are the only 2 numbers that i see beetween the number line
Answer:
A, C, D, E
Step-by-step explanation:
-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8
-9/10 as a decimal is -0.9 so it is too high
-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8
-1/4 as a decimal is -0.25 so it is too high
-2/5 as a decimal is -0.4 so it is between 0.2 and 0.
EDIT: 1/4 is right actually so it's d to.
Let X1,..., Xn be a simple random sample from a distribution with density function Svorvo-1 O<331 fx (2:0) = otherwise where e > 0 is an unknown parameter.
(a) Find a MOM estimator for 0.
(b) If the observations are 1 1 1 2'3'2 Determine the point estimate with the estimator you find in part (a).
Answer:
The method of moment (MOM) estimator as: [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]
[tex]\overline X = \dfrac{4}{9}[/tex]
[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]
Step-by-step explanation:
From the question, the correct format for the probability density function is:
[tex]fx(x ; \theta) = \left \{ {{\sqrt{\theta x}^{\sqrt{\theta}-1}}\ \ 0 \leq x \leq 1 \atop {0} \ \ \ \ \ \ \ otherwise } \right.[/tex]
where θ > 0 is an unknown parameter.
(a) The MOM estimator can be calculated as follows:
[tex]E(X) = \int ^1_0x. \sqrt{\theta} \ x^{\sqrt{\theta}-1} \ dx[/tex]
[tex]E(X) = \int ^1_0 \sqrt{\theta} \ x^{\sqrt{\theta}} \ dx[/tex]
[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 } ( x ^{\sqrt{\theta}+1})^1_0[/tex]
[tex]E(X) = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]
suppose E(X) = [tex]\overline X[/tex]
Then;
[tex]\overline X = \dfrac{\sqrt{\theta} }{\sqrt{\theta} +1 }[/tex]
[tex]\dfrac{1}{\overline X} = \dfrac{\sqrt{\theta} +1 }{\sqrt{\theta}}[/tex]
[tex]\dfrac{1}{\overline X} =1 + \dfrac{1}{\sqrt{\theta}}[/tex]
making [tex]\dfrac{1}{\sqrt{\theta}}[/tex] the subject of the formula, we have:
[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1}{\overline X} - 1[/tex]
[tex]\dfrac{1}{\sqrt{\theta}} =\dfrac{1-\overline X}{\overline X}[/tex]
[tex]\sqrt{\theta} =\dfrac{\overline X}{1-\overline X}[/tex]
squaring both sides, we have:
The method of moment (MOM) estimator as: [tex]\mathbf{\hat {\theta} =(\dfrac{\overline X}{1-\overline X})^2}[/tex]
b) If the observations are [tex]\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{2}[/tex]
Then,
[tex]\overline X = \dfrac{\dfrac{1}{2}+ \dfrac{1}{3}+\dfrac{1}{2}}{3}[/tex]
[tex]\overline X = \dfrac{\dfrac{3+2+3}{6}}{3}[/tex]
[tex]\overline X = \dfrac{\dfrac{8}{6}}{3}[/tex]
[tex]\overline X = \dfrac{8}{6} \times \dfrac{1}{3}[/tex]
[tex]\overline X = \dfrac{8}{18}[/tex]
[tex]\overline X = \dfrac{4}{9}[/tex]
Finally, the point estimate of the estimator [tex]\theta[/tex] is
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{1-\dfrac{4}{9}} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{\dfrac{4}{9}}{\dfrac{5}{9}} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\begin {pmatrix} \dfrac{4}{5} \end {pmatrix}^2}[/tex]
[tex]\mathbf{\hat {\theta} =\dfrac{16}{25} }[/tex]
Which equation represents the function described by this table?
f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x
Answer:
F(x)=x+7 the answer is A
Step-by-step explanation:
You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)
Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter
It is estimated that 50% of emails are spam emails. Some software has beenapplied to filter these spam emails before they reach your inbox. A certain brandof software claims that it can detect 99% of spam emails, and the probabilityfor a false positive (a non-spam email detected as spam) is 5%.Now if an email is detected as spam, then what is the probability that it isin fact a non-spam email?
Answer:
P(Non-Spam/Spam Detected) = 5/99
Step-by-step explanation:
To determine the probability that it is in fact a non-spam email, we will employ the use of Bayes Theorem: P(A/B) = (P(B/A) x P(A)) / P(B).
P(Spam) = P(Non-Spam) = 0.5
P(Spam Detected) = P(Spam) * rate of detection = 0.5 * 0.99
P(Detected/Non-Spam) = P(false positives) = 0.05
Using Bayes Theorem, P(Non-Spam/Spam Detected) = ( P(Spam Detected/Non-Spam) x P(Non-Spam) ) / P(Spam Detected)
= 0.05*0.5 / 0.5*0.99
= 5/99
Using conditional probability, it is found that there is a 0.0481 = 4.81% probability that it is in fact a non-spam email.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Email detected as spam.Event B: It is a non-spam email.The percentages of emails detected as spam are:
99% of 50%(spam emails).5% of 50%(non-spam emails).Hence:
[tex]P(A) = 0.5(0.99) + 0.5(0.05) = 0.52[/tex]
The probability of an email being detected as spam and not being spam is:
[tex]P(A \cap B) = 0.5(0.05)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5(0.05)}{0.52} = 0.0481[/tex]
0.0481 = 4.81% probability that it is in fact a non-spam email.
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x decreased by 7 is 38
Answer:
45
Step-by-step explanation:
x - 7 = 38
add 7 to both sides to get the variable by itself
x = 45