work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
Learn more about the area of a circle here:
brainly.com/question/28642423.
#SPJ9
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
Read more about Absolute Value Function at: https://brainly.com/question/3381225
#SPJ1
Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
All second- degree polynomials has no vector spaceAlso, all first - degree polynomials has a vector spaceLearn more about polynomials at: https://brainly.com/question/4142886
#SPJ1
2.2.23Use the graph below to determine the equation of the circle in (a) center-radius form and (b) general form.a. Type thA10-(Simplify)(4,4)(2.2)(6,2)-10(4,0)10-10
Answer:
• (a) (x-4)²+(y-2)²=4
,• (b) x²+y²-8x-4y+16=0
Explanation:
The given circle has the endpoints of one diameter as (2,2) and (6,2).
\(\begin{gathered} \text{Diameter=6-2=4 units} \\ \text{Radius, }r=\frac{4}{2}=2\text{ units} \end{gathered}\)The centre of the circle is the midpoint of the diameter.
\(\begin{gathered} \text{Midpoint}=(\frac{2+6}{2},\frac{2+2}{2})_{} \\ =(\frac{8}{2},\frac{4}{2}) \\ =(4,2) \end{gathered}\)Part A
The center-radius form of the equation of a circle is given as:
\((x-a)^2+(y-b)^2=r^2\)Substitute the center, (a,b)=(4,2) and r=2:
\(\begin{gathered} (x-4)^2+(y-2)^2=2^2 \\ \implies(x-4)^2+(y-2)^2=4 \end{gathered}\)Part B
The general form of a circle is given as:
\(x^2+y^2+2gx+2fy+c=0\)In this case, we obtain the equation by expanding our results from part (a).
\(\begin{gathered} (x-4)^2+(y-2)^2=4 \\ x^2-8x+16^{}+y^2-4y+4=4 \\ x^2+y^2-8x-4y+16^{}+4-4=0 \\ x^2+y^2-8x-4y+16^{}=0 \end{gathered}\)The general form of the circle is given as:
\(x^2+y^2-8x-4y+16^{}=0\)
Can someone help me with this
Answer:
95% = Within two standard deviations from the mean
99.7% = Within three standard deviations from the mean
68% = Within one standard deviation from the mean
Step-by-step explanation:
I hope this helped! If it did, please click "Thanks" to help me out!
-9x + 3 - x - 1
Can u help me pls
Answer:
-10x + 2
Step-by-step explanation:
So in order simplify the equation you have to add all the variables together and all the numbers together in this equation:
-9x + 3 - x - 1
So we are going to add -9x and x together while adding 3 and -1 together:
-9x + (-x) = -10x
3 - 1 = 2
So that would make the equation look like this:
-10x + 2
Tada! You have simplified the equation!!! Hope this helps you!!!
the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
for such more question on average
https://brainly.com/question/23377525
#SPJ11
Please read the question
For Questions 10-13:
10. An equation that relates the time required to the number of people is T = k/P.11. The table is attached.12. It takes 5 hours for 10 people to hand out these fliers13. YesHow to determine equations?10. The equation that relates the time required to the number of people can be written as:
T = k/P
where
T = time required,
P = number of people, and
k = constant of variation.
Using the given information that it takes 25 hours for 2 people to hand out fliers, use this to find the value of k.
Plugging these values into the equation:
25 = k/2
To solve for k, multiply both sides of the equation by 2:
50 = k
11. Now complete the table:
People Time
2 25
4 12.5
6 8.3
8 6.3
10 5
(rounding to the nearest tenth of an hour)
12. To find out how long it takes for 10 people to hand out the fliers, we can substitute P=10 into the equation:
T = 50/10
T = 5 hours
13. Yes, the result makes sense with what we know about inverse variation. In inverse variation, as the number of people increases, the time required decreases. This is evident in the table, where as the number of people increases from 2 to 10, the time required decreases from 25 hours to 5 hours. This inverse relationship is consistent with the concept of inverse variation.
Find out more on equation relations here: https://brainly.com/question/26126627
#SPJ1
Two friends are playing tic-tac-toe. If Amy wins 3/8 of the time, Lily wins 3/10 of the time, and they tie the rest of the time, then what fraction of the time do they tie?
Answer:
13/40
Step-by-step explanation:
The period they have played can be divided into 3 parts:
● The time Amy wins
● The time Lily wins
● The time they tie
So the sum of them is the total time of playing.
Let A be the time Amy wins, L the tile Lily wins and T the time they tie .
●●●●●●●●●●●●●●●●●●●●●●●
Since we have expressed the times using fractions then the total period of playing is 1 wich is 100%.
So:
A + P + T = 1
3/8 + 3/10 + T = 1
Multiply 8 by 10 and 10 by 8 so that you get a common denominator.
Cross multiply the numerators and the denominators.
(3*10+3*8)/80 + T = 1
(30 + 24)/80 + T =1
54/80 + T = 1
(27*2)/(40*2) + T = 1
Simplify by 2
27/40 + T = 1
T = 1 - 27/40
Multiply one by 40 to get a common denominator
T = (40-27)/40
T = 13/40
So they have tied 13/40 of the time
Which statement does not describe the sine function?
A. Its reciprocal function is cosecant.
B. Its domain includes all real numbers.
C. The cycle repeats every nradians.
D. The cycle starts at y = 0, increases to y= 1, decreases to y=-1,
and then increases to y = 0.
Answer:
Step-by-step explanation:
A is correct. csc x = 1/ sin x
B is correct. y = sin x is a continuous funtion, for all real numbers, x
C is correct. The function y = sin x is a periodic function, and the cycle repeats every 2 radians (or 360°).
D is incorrect. It doesn't actually say anything false, but it does not accurately describe the behavior of the sine function. Look at the graphic I have attached. If you start at the origin, you see y = 0, then increases to 1 when x = π/2, then decreases back to zero when x = π, then decreases even more to -1 when x = 3π/2, then increases back up to zero when x = 2π.
Answer D leaves out the underlined part.
Hope this helps.
The incorrect statement is D because the location is not given.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The sine function is the reciprocal function is cosecant.
The domain of the sine function is a real number.
The sine function cycle repeats every n radians.
Then the incorrect statement is D because the location is not given.
The graph is given below.
More about the sine function link is given below.
https://brainly.com/question/3876065
#SPJ5
BRAINLIEST THANK YOU QUESTION ON PIC ARE THE TRIANGLES BELOW ACUTE OBTUSE OR RIGHT???
Answer:
Triangle A: Acute
Triangle B: Obtuse
Triangle C: Acute
Triangle D: Right
Step-by-step explanation:
Right angle: 90°
Acute angle: 0°-90°
Obtuse angle: 90°-180°
For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)
Given:
The functions are
\(f(x)=4x^2+7x-5\)
\(g(x)=-9x^2+4x-13\)
To find:
The functions \((f+g)(x)\) and \((f-g)(x)\).
Solution:
We know that,
\((f+g)(x)=f(x)+g(x)\)
\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)
\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)
\((f+g)(x)=-5x^2+11x-18\)
And,
\((f-g)(x)=f(x)-g(x)\)
\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)
\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)
\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)
\((f-g)(x)=13x^2+3x+8\)
Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)
and \((f-g)(x)=13x^2+3x+8\).
Is it correct???????
Answer:
no your first point should mark 0,-1
Step-by-step explanation:
Answer:
The -1 on the x axis should be on the y axis, other than that it is correct
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
 evaluate the expression for k=6 -18+2k=
Answer:
-6
Step-by-step explanation:
-18 + 2k wherre k = 6
=> -18 + 2(6)
=> -18 + 12
=> -6
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
a researcher computed the f ratio for a four group experiment. The computed F is 4.86. The degree of freedom are 3 for the numerator and 16 for the denominator. is the computed value of significant at p < 0.05?
Answer:
To determine if the computed F-value is statistically significant at p < 0.05, we need to compare it to the critical F-value at the corresponding degrees of freedom and significance level.
In this case, we have:
- Numerator degrees of freedom (df1) = 3
- Denominator degrees of freedom (df2) = 16
- Computed F-value = 4.86
- Significance level (α) = 0.05
To determine if the computed F-value is significant, we can use an F-table or statistical software to find the critical F-value.
Looking up the critical F-value in an F-table with df1 = 3 and df2 = 16, at a significance level of 0.05, we find that the critical F-value is approximately 3.24.
Since the computed F-value (4.86) is greater than the critical F-value (3.24), it falls in the critical region and is statistically significant at the p < 0.05 level. This means that the results of the four-group experiment are considered statistically significant, suggesting that there is a significant difference among the groups.
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.
y=
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Interpret the correlation coefficient.
b. Interpret the slope of the line of best fit.
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1
How to illustrate the table?From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.
The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.
When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.
Learn more about equations on:
https://brainly.com/question/2972832
#SPJ1
Where can I type in the actual math question?
Answer:
Click on the top right-hand corner that states "Ask Question" You will see a screen add pic a topic on what you want to do and how many points you want to give for one of us, Brainly members, to answer. Ask your question, there are links, files, and other resources on the bottom of your screen which you can insert for a picture question. After asking your question click "Ask Your Question" and your answer will be posted for Brainly members to answer!
Step-by-step explanation:
Hope this helps!
Consider the following joint discrete probability mass function (pmf):
p(x,y) = 0.1 for (x, y) = (1, 1), (2, 1), (1, 2), and (2, 2)
p(x,y) = 0.2 for (x, y) = (0, 0)
p(x,y) = 0.4 for (x, y) = (3, 3)
a. Obtain conditional pmf of X when Y = 1.
b. Clearly showing all of your calculations, calculate the correlation coefficient for X and Y.
so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9
Step-by-step explanation:
a) We need to find the conditional p m f of X when Y = 1.
So, when Y = 1, there are only two X values: X =1 and X =2.
X can have any of the following values: 0, 1, 2, or 3
so P(0) = 0/ 0.2 = 0
P(1) = 0.1/(0.1+0.1) = 0.5
P(2) = 0.1/( 0.1+ 0.1) = 0.5
P(3) = 0/ 0.2 = 0
b) The correlation coefficient of X and Y isρXY
ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y
We will calculate σ^X first by μ^x
f x(x) = 0.2; x = 0
= 0.2; x =1
= 0.2 ; x = 2
= 0.4 ; x = 3
μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8
σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36
σ^X = 1.166
We will calculate σ^y first by μ^y
f^ x (X) = 0.2; y = 0
= 0.2; y =1
= 0.2 ; y= 2
= 0.4 ; y = 3
μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8
σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36
σ^y = 1.166
Now we will calculate σ^XY
σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26
σ^XY = 1.225
so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9
To learn more about probability mass function (p m f)
https://brainly.com/question/30034780
#SPJ4
Find the value of x for the given value of y.
y = x/4 -7; y = 2
Answer:36
Step-by-step explanation:
2=x/4-7
9=x/4
36=x
Answer:
x = 36
Step-by-step explanation:
y = \(\frac{x}{4}\) - 7
and y = 2 so...
2 = \(\frac{x}{4}\) - 7
Bring -7 to the other side to get +7
2 + 7 = \(\frac{x}{4}\)
9 = \(\frac{x}{4}\)
Bring the 4 in \(\frac{x}{4}\) to the other side to get x4
9 x 4 = x
∴ x = 36
Is this SSS, ASA, SAS, or AAS? I’m pretty sure it’s either sss or sas because there are already two sides but I’m not sure!! Please help:,)
Therefore , the solution of the given problem of congruent comes out to be in this case we have two side equal and one side common so it is sss
What in mathematics is a congruence?Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.
How does SSS work?SSS definitions. an autonomous government organization responsible for overseeing military conscription. Selective Service and Selective Service System are synonyms. independent agency kind. a federal agency that was established by a congressional act and is unrelated to the executive departments.
In this case we have two side equal and one side common so it is sss
Learn more about congruent
brainly.com/question/2938476
#SPJ1
his portion of the dist Question: a. Explain why the number n is an irrational number. b. Will you ever be able to get the EXACT area of a circle? Why or why not? c. Is -4 a rational or irrational number? Explain why or why not. d. Name another irrational number besides Type your answer below: Edit - View Format Table - Formats В І = = * =:= E & Z I NEED HELP ASAP WILL REWARF MAX POINTS
Select all equations where r=3 is a solution
R-3=0
1+ r = 2
9- r = 3
1/5r = 3
R2= 9
Answer:
the first equation
Step-by-step explanation:
Lorena runs a landscape company. A customer wants her to plant 10 trees, but the trees have to be planted in rows with 4 trees in each row. What shape will the trees be planted in?
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
9514 1404 393
Answer:
(x^(1/2))(x^(1/2)) = x^(1/2 +1/2) = x^1 = x
Step-by-step explanation:
The rule of exponents is ...
(x^a)(x^b) = x^(a+b)
From which ...
(x^a)(x^a) = x^(a+a) = x^(2a)
So, if we want two identical factors that have a product of x = x^1, then the exponents of those factors will be such that ...
x^(2a) = x^1
2a = 1
a = 1/2
The square root is defined as one of two identical factors that have a product equal to the specified value. That is ...
(√x)(√x) = x
Above, we have shown that ...
(x^(1/2))(x^(1/2)) = x
so, we can conclude ...
√x = x^(1/2)
_____
Additional comment
In like fashion, we can show that the n-th root of a number is the same as that number to the 1/n power. It's really a matter of definition. Since the square of x^(1/2) is x, we call x^(1/2) the square root. It is used commonly enough that it has its own symbol: √x.
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
When point F
is reflected in the line y = x, the image is located at F"(-7, 1).
The coordinates of F' when reflected in the line y=x is F'(1,-7)
Given:
When point F is reflected in the line y = x, the image is located at F"(-7, 1).
The x-coordinate and y-coordinate are reversed when a point is reflected over the line y = x. The x-coordinate and the y-coordinate switch places and become negated if you reflect over the line y = -x (the signs are changed). The point is on the line y = x. (y, x).
so the point F"(-7, 1) after reflection changes to:
F'(1,-7)
Hence we get the value of F' as (1,-7).
Learn more about Function graphs here:
brainly.com/question/4025726
#SPJ9
when 30 is subtracted from 14 times of a number the result is 20 more than 4 times that number what is the number
Answer:
number is 5
Step-by-step explanation:
let the number be n, then
30 subtracted from 14 times the number is
14n - 30
the result is 20 more than 4 times the number, that is
4n + 20
the equation is then
14n - 30 = 4n + 20 ( subtract 4n from both sides )
10n - 30 = 20 ( add 30 to both sides )
10n = 50 ( divide both sides by 10 )
n = 5
the number is then 5