The equation of the circle that passes through the point (√3 , 0) and has a center at the origin is x^2 + y^2 = 3.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (√3 , 0).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(√3 - 0)^2 + (0 - 0)^2
radius= √3
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = √3
(x - 0)^2 + (y - 0)^2 = (√3)^2
x^2 + y^2 = 3
Learn more about equation of a circle here: https://brainly.com/question/14150470
#SPJ4
(-1/100) divided by (1/10)
Answer:
-0.1
Step-by-step explanation:
-1/100 = -0.01
1/10 = 0.1
-0.01/0.1 = -0.1
Consider y = - 8x
Complete the table for the equation.
X y
-1 ?
0 ?
1 ?
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
The statement "angles 4 and 6 are alternate interior angles" is true
Given,
The statement " Angles 4 and 6 are alternate interior angles"
Here,
∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .
So, ∠4 and ∠6 are alternate interior angles
Hence, the statement "angles 4 and 6 are alternate interior angles" is true.
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
Learn more about alternate interior angles here
brainly.com/question/2656732
#SPJ4
give the geometrical representation of y=3 as an equation in
a) one variable
b) in two variables.
The geometrical representation of y=3 as an equation in
a) one variable is y = 3
b) in two variables is 0x + y = 3.
How to illustrate the information?Based on the information illustrated, the geometrical representation of y=3 as an equation in one variable is y = 3.
Also, the geometrical representation of y=3 as an equation in two variables is:
y = 3.
0x + y = 3
0x + y - 3 = 0
Therefore, y = 3.
Learn more about equations on:
brainly.com/question/18831322
#SPJ1
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
The possibility of the outcomes of third coin turn up a head is 2⁹.
Probability:
Probability is the calculated by dividing the favorable outcome by the total number of outcomes.
Given,
Ten coins are tossed simultaneously.
Here we need to find the how many of the outcomes will the third coin turn up a head.
Here we know that,
The third coin must be a head.
So, that means the rest of the coins can be heads or tails.
Therefore, possibility of these can be written as,
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹
different outcomes for the rest of the coins.
Which means the rest of the coins can be either head or tail but the third one is head.
Therefore, the possibility of getting third coin as head is 2⁹.
To know more about Probability here.
https://brainly.com/question/11234923
#SPJ4
David requires at least $250 to hold his birthday party. If David can save $43 a month, how many months will he need to save to be able to afford his birthday party?
a. Write an inequality that describes this situation.
b. Solve the inequality. Show all your work.
c. Write your answer in a complete sentence.
Answer:
b. Solve the inequality. Show all your work.
Step-by-step explanation:
2. Use Structure Why do you multiply by a power
of 10 when writing a repeating decimal as a
rational number?
Answer:The idea is to multiply by some number (10, 100, 1000, etc.) so that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2
Step-by-step explanation: sorry if its wrong thats all i remember
61-60÷2[35-3{-12÷6-4(15÷3-8)}]
Answer:
1/2(35-3(2-4)(5-8)
1/2(32(-2(-3))
1/2(32(-6))
1/2(192)
1into192/2
=96
Step-by-step explanation:
Write a polynomial function V to represent the volume of a round bale with the given dimensions
The polynomial function V to represent the volume of a round bale is V(x) = π(x + 5)²(x + 8).
What is Polynomial Function ?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Let the dimensions of round bale is x+5 feet radius and 3 feet wide.
As we know that round bale is a shape of cylinder in which we will consider wide instead of height.
Volume of Round Bale (V) = πr²w
V = πr²w = π(x + 5)²[(x + 5) + 3]
V(x) = π(x + 5)²(x + 8)
Hence, we got the polynomial function that represent the volume of round bale is V(x) = π(x + 5)²(x + 8).
To learn more about Polynomial Function visit :
https://brainly.com/question/12976257
#SPJ1
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.
What is her straight-time pay for a week in which she worked
22 hours?
The payment she gets after 22 hours of working is $187.
According to the statement
We have to find that the total amount she earned.
So, For this purpose, we know that the
Straight-time pay is the total amount of money you earn in a given pay period.
From the given information:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?
Then
The amount she get as a rate per hour = $8.50
And
The time for which she works = 22 hours
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Now multiply these to get the answer
Pay she get after the work of the 22 hours = $187
So, The payment she gets after 22 hours of working is $187.
Learn more about Straight-time pay here
https://brainly.com/question/17178240
#SPJ1
Evaluate each finite geometric series. 1/5 + 1/10 + 1/20 + 1/40 + 1/80
Evaluate each finite geometric series.
1/5 + 1/10 + 1/20 + 1/40 + 1/80=0.3875
What is the sum of a finite geometric series?
Given:
a=1/5
r=5/10 = 1/2
n=5
[tex]S_n=\frac{a(1-r^{n} )}{1-r} \\\\S_5=\frac{\frac{1}{5}(1-(\frac{1}{2}))^{5} }{1-\frac{1}{2} } \\\\S_5=\frac{1}{5} (\frac{31}{32} *\frac{2}{1}) \\\\S_5=\frac{1}{5} (\frac{31}{16} )\\\\S_5=0.3875[/tex]
What is a finite geometric series?
A geometric series is a series with a geometrically connected progression. A geometric series is a list of numbers where each number, or term, is found by multiplying the preceding term by a common ratio r. Because there are only a finite number of terms, we refer to this geometric series as a finite geometric series (an infinite geometric series continues on forever.)To learn more about finite geometric series, refer:
https://brainly.com/question/4520322
#SPJ4
On a typical work day, the bowling ball juggler
spends ¹/2 of his time stretching his fingers and
¹/5 of his time nursing his smashed toes. If the
juggler spends a total of 7 hours on these two
activities, how many hours does he typically
work each day?
He typically work each day for 10 hours.
According to the question, the expression can be written as:
The time taken to stretch the fingers = (1/2)t
Similarly, the time taken to smashed toes = (1/5)t
Total time = 7 hours
Now, the final expression can be written as:
(1/2)t + (1/5)t = (7)
(7/10)t = 7
t = 10 hours
Hence, he typically work each day for 10 hours.
What is time and work?
The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.
To learn more about the time and work from the given link:
https://brainly.com/question/26046491
#SPJ9
Need help asap please
Answer:
2) y= 4x+17
Step-by-step explanation:
y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17
Use the Distance Formula to find the distance between the pair of points.
R(-2,3), S(3,15)
Using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
Given,
The points = R(-2,3) and S(3,15)
We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2} -y_{1})^{2} }[/tex]
Substitute the values in the equation
The distance = [tex]\sqrt{(3--2)^{2}+(15-3)^{2} }[/tex]
[tex]=\sqrt{5^{2}+12^{2} }\\ =\sqrt{25+144}\\ =\sqrt{169}[/tex]
=13 units
Hence, using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
Learn more about distance here
brainly.com/question/4058851
#SPJ4
The scale from an actual triangle to the drawing at the right is 30:1. The scale from the same triangle to Jorge’s drawing of the triangle is 10:1. Is this drawing or Jorge’s drawing larger
Jorge's drawing of the triangle is greater than the first drawing.
How to analyze and interpret scales
Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:
x / y = 30 (1)
x / z = 10 (2)
By (1) and (2) we find the relationship between the two lengths of the two drawings:
30 · y = 10 · z
z = 3 · y
Jorge's drawing of the triangle is greater than the first drawing.
To learn more on scales: https://brainly.com/question/22312172
#SPJ1
Write the equation in slope-intercept form. What are the slope and y -intercept?
a. 3 x+2 y=18
The equation in slope-intercept form is y = -3/2x + 9. Slope of the equation is - 3/2 and y - intercept is 9.
How do we find slope-intercept form?Calculate the slope (m).
Keep in mind that the slope is determined by dividing the change in y by the change in x. (rise over run).
Find the y-value of the y-intercept by solving (b).
In the formula y=mx+b, swap out m and b with their respective values.
The given equation is -
3x + 2y = 18
divide the equation by 2
3/2x + y = 9
Rearranging the equation -
y = -3/2x + 9
Comparing it with y = mx + c
so slope m = -3/2
and y - intercept = 9
To learn more about slope - intercept form from given link
https://brainly.com/question/19440459
#SPJ4
A company rents accessible bikes for people with physical disabilities. The scatter plot shows the relationship between the number of hours an accessible bike rented and the total amount paid at rental locations in different cities. Is the line y = 10x a good fit for the data? Use the drop -down menus to explain.
The Proportional relationship y = 10x is a good fit for the data.
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality,
i.e., y = kx
In which k is the constant of proportionality.
For this problem, foe each value of x, the output is 10 times that, hence the constant is k = 10 and the proportional relationship y = 10x is a good fit for the data.
Learn more about Proportional relationship at:
https://brainly.com/question/24924801
#SPJ1
Answer:
The Proportional relationship y = 10x is a good fit for the data.
A solid cylinder has a diameter of 8.4 cm and a height of 12.0 CM. Calculate the volume of a cylinder.
Answer:
Volume = 665 cm³
Step-by-step explanation:
We can calculate the volume of a cylinder using the following formula:
[tex]\boxed{\mathrm{Volume = \pi r^2 h}}[/tex],
where:
• r = radius of cylinder
• h = height of the cylinder
In the question, we are told that the diameter of the cylinder is 8.4 cm. Since the diameter is twice of radius:
[tex]\mathrm{radius = 8.4 \div 2}[/tex]
[tex]= \bf 4.2 \: cm}[/tex]
We are also told that the height of the cylinder is 12.0 cm. Therefore, using this information, as well as the formula above, we can find the volume of the cylinder:
[tex]{\mathrm{Volume = \pi \times (4.2 \mathrm{\: cm})^2 \times 12.0 \mathrm{\: cm}}}[/tex]
[tex]= \pi \times 17.64 \mathrm{\: cm^} \times 12.0 \mathrm{\: cm}[/tex]
[tex]\approx \bf 665 \: cm^3[/tex]
Therefore the volume of the cube is 665 cm³.
form a smimulatenous equation for : a cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s. How far does she travel at each speed?
The distance traveled in each section will be 150 meters and 350 meters.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
From a simultaneous equation for: A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s.
Let x distance be covered with velocity 10 m/s in time t₁ and the remaining distance (500 - x) covered with velocity 50 m/s in time t₂. Then the equation will be
t₁ + t₂ = 22 ....1
Then the time t₁ will be
10 = x / t₁
t₁ = x / 10
Then the time t₂ will be
t₂ = (500 - x) / 50
Put the time in equation 1, then we have
x / 10 + (500 - x) / 50 = 22
5x + 500 - x = 1100
4x = 600
x = 150 meters
And the remaining distance will be
500 - x = 500 - 150
500 - x = 350 meters
The distance traveled in each section will be 150 meters and 350 meters.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ1
Please help
let f(x)=-4x^3+9x^2-5x+132
Is x-1 a factor of f(x)
Is x+1 a factor of f(x)
Is x-4 a factor of f(x)
Answer:
x-4 IS a factor
Step-by-step explanation:
IF x-1 is a factor then putting x = 1 into the equation will make it = zero...... it does not
IF x+1 is a factor then putting x = -1 into the equation will result in = 0
it does not
IF x -4 is a factor , then puting in x =4 into tthe equation will = 0 it DOES !
URGENTTT
how do u do this?
Answer:
i didn't understand please write it in a clearer way so I can help
Answer: given clear information about the question
Step-by-step explanation:
What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!
Divide.
−0.0468÷0.002
What is the quotient?
Enter your answer in the box.
Answer:
-23.4
Step-by-step explanation:
-0.0468 ÷ 0.002 = -23.4 (A negative divided by a negative is a positive!)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Given f(x)=2x2+4, find the value of f(−1)
The value of f(-1) according to the function f(x) given is; 6.
What is the value of f(-1) according to f(x) given?It follows from the task content that the function, f(x) = 2x² + 4.
On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;
f(-1) = 2(-1)² + 4
f(-1) = (2×1) +4
f(-1) = 6.
Ultimately, f(-1) = 6.
Read more on function evaluation;
https://brainly.com/question/2284360
#SPJ1
Read each question. Then write the letter of the correct answer on your paper.
What is the solution set of the equation (2 x-4)(x+6)=0 ?
(A) -4,6
(B) -4,6
(C) 2,-6
(D) -2,-6
The solution of the equation (2x - 4) (x + 6) = 0 is is x = {2, -6} (C)
The solutions of an equation means if we substitute these solutions into the variables of the equation, it will lead to the correct equality.
Suppose we have an equation in the form of:
(x - a) (x - b) = 0
This is called a factorization form. The equality will be true if either:
x - a = 0, orx - b = 0The given equation is:
(2x - 4) (x + 6) = 0
This equality will be correct if:
2x - 4 = 0
⇒ x = 2
or
x + 6 = 0
⇒ x = -6
Hence, the solution is x = {2, -6} (C)
Learn more about solutions of equations here:
https://brainly.com/question/17145398
#SPJ4
EASY POINTS WILL GIVE BRIANLIST TO BEST ANSWER
Slove then equation below and give the reasons for each step:
View photo
In a plane, prove that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. (Theorem 3.4 )
If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.
We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.
To prove if AD is perpendicular to MN, it is also perpendicular to OP
ABN=90o
( Since AD is perpendicular to MN)
BCP=ABN=90o
Learn more about perpendicular - https://brainly.com/question/12305421
The formal for the valume v of a cylinder v=nr^(2)h,where is r is the radius of the base and h is height of the cylinder. solve the formal for h. then find the height of a cylinder with a valume of 36n cm^(2) and base with radius of 3 cm
The formula for the height of a cylinder is h = V / (π.r²) and the height of a cylinder with a volume of 36 cm³ and a radius of 3 cm is 4/π cm
Given a cylinder with a radius r and height h, then its volume is given by the formula:
V = π.r².h
Where:
V = volume
r = radius
h = height
To find the formula for the height, divide both sides by π.r²
V : π.r² = π.r².h : π.r²
or,
h = V / (π.r²)
The given parameters are:
V = 36 cm³
r = 3 cm
Substitute those parameters into the formula:
h = 36 / (π.3²)
h = 36 / (9π)
h = 4/π cm
Learn more about cylinder here:
https://brainly.com/question/24159177
#SPJ4
round 2,874.2878 to two decimal places
Answer: If your rounding to the second spot after the decimal it would be in the hundredths place so in case it would be 2874.29 Although I'm not sure if that's how you wanted it to be done.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 2,874.2878
Round 2,874.2878 to two decimal places.
If the third place after the decimal is more than 5, then the second place after the decimal will be increased by one.
In the third place after the decimal is 7, then the number 8 is increased by one that is 9.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
More about the rounding of a number link is given below.
https://brainly.com/question/19031319
#SPJ2
What is the geometric mean of 8 and 18 ?
A 9
B 10
C 11
D 12
The geometric mean of a and b [tex]=\sqrt{a*b}[/tex] then the geometric mean of 8 and 18 is 12.
What is geometric mean?In Mathematics, the Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values.
The geometric mean is used in finance to calculate average growth rates and is referred to as the compounded annual growth rate.
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the result.
Geometric mean of a and b [tex]=\sqrt{a*b}[/tex]
Geometric mean of 8 and 18 [tex]$=\sqrt{8*18}[/tex]
a = 8 , b = 18
= √144
= 12
The geometric mean of 8 and 18 is 12.
Therefore, the correct answer is option D. 12.
To learn more about geometric mean refer to,
https://brainly.com/question/2292573
#SPJ4
Caylie's coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2
nickels were removed, the total value of the coins would be $3.40. Find the number of nickels and the
number of dimes in the bank.
There were 29 nickels and 10 dimes in the bank.
We know that:
1 dime = 5 cents
1 nickel = 10 cents.
Also, $ 3.40 = 340 cents
Let the number of nickels be n and the number of dimes be d.
Now, we are given that:
5 dimes and 2 nickels were taken away.
So, total coins = 46 - 2 - 5 = 46 - 7
Total coins = 39
We get the equation:
n + d = 39
d = 39 - n
Now, we also know that:
5 d + 10 n = 340
d + 2 n = 68
Put the value of d, we get that:
39 - n + 2 n = 68
n = 68 - 39
n = 29
d = 39 - n
d = 39 - 29
d = 10
Therefore, we get that, there were 29 nickels and 10 dimes in the bank.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ9
