Answer:
Equation of the circle is
[tex](x-4)^2+y^2=12[/tex]
Step-by-step explanation:
We have been given that
center of the circle = (4,0)
Radius of the circle = [tex]2\sqrt3[/tex]
The standard form of a circle is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here, (h,k) is the center and r is the radius. Thus, we have
h = 4, k = 0, r = 2√(3)
Substituting these values in the above equation, we get
[tex](x-4)^2+(y-0)^2=(2\sqrt3)^2[/tex]
Simplifying, we get
[tex](x-4)^2+y^2=12[/tex]
Therefore, equation of the circle is
[tex](x-4)^2+y^2=12[/tex]
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year?
Final answer:
Geoff's garden exhibits exponential growth of dahlia bulbs, doubling each year. By following this pattern, Geoff should expect to have 768 bulbs in the eighth year.
Explanation:
Geoff’s dahlia bulbs are showing a pattern of doubling in quantity each year. This is an example of exponential growth, a concept commonly explored in mathematics. To determine the number of bulbs Geoff can expect in the eighth year, we need to continue this pattern.
In the first year, there are 6 bulbs. The second year has 12 bulbs which is 6 multiplied by 2. The third year has 24 bulbs, which is 12 multiplied by 2. This pattern suggests that every year, the number of bulbs is the previous year's total multiplied by 2.
By following this pattern, to find the number of bulbs in the eighth year, we calculate:
Fourth year: 24 bulbs × 2 = 48 bulbs
Fifth year: 48 bulbs × 2 = 96 bulbs
Sixth year: 96 bulbs × 2 = 192 bulbs
Seventh year: 192 bulbs × 2 = 384 bulbs
Eighth year: 384 bulbs × 2 = 768 bulbs
Therefore, Geoff should expect to have 768 bulbs in his garden in the eighth year if the pattern of doubling the number of bulbs each year continues.
Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.
There are 5.28 cups of pudding to be put into 6 dishes.How much pudding should be put into each dish to make it equal?
What’s the sum of 2/5 and 2/4
How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed? a.119 b.16,807 c.2520 d.120
Over the past month, a hairstylist has had 49 female clients and 21 male clients. What is the ratio of male clients to female clients for this hairstylist?
The ratio of male clients to female clients for the hairstylist is 21:49, which simplifies to 3:7 after dividing both numbers by the GCD of 7.
The question asks to find the ratio of male clients to female clients for a hairstylist. In this scenario, the hairstylist has had 49 female clients and 21 male clients. To find the ratio of male to female clients, we compare the number of male clients to the number of female clients.
The ratio is expressed as male clients : female clients. Thus, the ratio of male clients to female clients is:
21 male clients : 49 female clients
To simplify the ratio, we find the greatest common divisor (GCD) of 21 and 49, which is 7. Dividing both numbers by 7, we get:
3 male clients : 7 female clients
Jenifer has 4/5 as many pictures on her camera as Luisa does Jennifer has 28 pictures on her camera . how may pictures do Jennifer and Luisa
the area of a rectangle is 95 square yard. if the perimeter is 48 yards find the length and width of rectangle
Camilla’s class played soccer for 2/3 hour. She played for 3/5 of the game. How much time did Camilla play? A 5/10 hour, B 6/15 hour, C 5/8 hour, D 6/8 hour. Will chose A as the correct answer. How did he get that answer?
Solution:
we are given that
Camilla’s class played soccer for 2/3 hour.
She played for 3/5 of the game.
we have been asked to find
How much time did Camilla play?
Here we are given total time of play for the whole class and camilla played part of that time so we will just multiply the total play time with the fraction of time that camilla played. That will give the actual play time of camilla.
So camila played for [tex]=\frac{2}{3}*\frac{3}{5} =\frac{6}{15}Hr[/tex]
Hence camilla played for 6/15 Hr.
Hence the correct option ois B.
for the simple harmonic motion equation d=2sin(pi/3t), what is the frequency?
Answer:
Frequency of [tex]d=2\sin (\frac{\pi t}{3})[/tex] is [tex]\frac{1}{6}[/tex].
Step-by-step explanation:
We have the harmonic equation as, [tex]d=2\sin (\frac{\pi t}{3})[/tex].
It is known that,
If a function f(x) has a period P, then the function cf(bx) has period [tex]\frac{P}{|b|}[/tex].
So, we have,
As the function [tex]\sin t[/tex] has [tex]2\pi[/tex], then [tex]d=2\sin (\frac{\pi t}{3})[/tex] will have period [tex]\frac{2\pi}{\frac{\pi}{3}}[/tex] = 6
Further, the frequency of a function is the reciprocal of its period.
Thus, the frequency of [tex]d=2\sin (\frac{\pi t}{3})[/tex] is [tex]\frac{1}{6}[/tex].
If cos(3x)=sin(x+18degrees) what is the value of x
Noah’s taxable income is $27,156. He is filing as married filing jointly, and he has already paid $3260 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Final answer:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability. According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. Since Noah has already paid $3,260 in federal taxes, he has overpaid his taxes and will receive a refund of $1.28.
Explanation:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability.
First, we need to determine his taxable income after considering his filing status. As he is filing as married filing jointly, we can check the tax brackets for that status.
According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. To calculate the tax liability, we multiply the taxable income by the tax rate, which gives us $27,156 * 0.12 = $3,258.72.
Since Noah has already paid $3,260 in federal taxes, he has paid more than his tax liability for the year. In this case, he will receive a tax refund equal to the difference between his tax liability and the amount he has already paid, so the amount he will receive is $3,258.72 - $3,260 = $-1.28.
Therefore, Noah will receive a tax refund of $1.28 after figuring his taxes for the year.
How many elements are in the set {A,B,C}?
Answer:
There are 3 elements in the set.
Step-by-step explanation:
Given set,
{A, B, C}
∵ Set is the collection of defined distinct objects,
These objects are called elements of the set,
We have given a set in which A, B, C are present thus they must be distinct,
So, by the above definition,
The given set has three elements.
Luke and Christopher go to the movie theater and purchase refreshments for their friends.
Luke spends a total of $41.00 on 3 drinks and 10 bags of popcorn.
Christopher spends a total of $11.00 on 2 drinks and 2 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
when the figure below is rotated 90 degrees counterclockwise about the origin what would be the new coordinates of point c?
a (-5,3)
b (3,-5)
c (5,-3)
d (5,3)
When a point is rotated 90 degrees counterclockwise about the origin, its new coordinates can be found by swapping the x and y coordinates and changing the sign of the new y coordinate. In this case, the new coordinates of point C would be (-3,-5).
Explanation:When a point is rotated 90 degrees counterclockwise about the origin, its new coordinates can be found by swapping the x and y coordinates and changing the sign of the new y coordinate.
In this case, point C has coordinates (5,-3). When we rotate it, the new x coordinate becomes -3 and the new y coordinate becomes -5. Therefore, the new coordinates of point C would be (-3,-5).
What is the measure of JK?
calculate the area of the lawn covered by an oscillating sprinkler that sprays water in a half circle with a radius of 10ft
For 3x2- 4x+ 1, match the following:
x Degree
3 Variable
1 Algebraic expression
3x2-4x+ 1 Coefficient
. 2 Constant
For this case we have the following definitions:
Algebraic expression: It is one that contains terms of different degrees with their respective coefficients. Degree of the polynomial: is the largest exponent of the polynomial. Variabe: is the independent term of the polynomial Coefficient: They are the constant numerical values that accompany the variables of the polynomial. Constant: It is a term of the polynomial that does not accompany the variable.Answer:
x ----------------> Variable
3 ----------------> Coefficient
1 ----------------> Constant
[tex]3x ^ 2-4x + 1[/tex] -----------> Algebraic expression
2 ----------------> Degree
What is the value of p? 4 × 11 × p = 11 × 4 × 5 PLZ
The sale price of an item is $15 after a 70% discount is applied. What is the original price of the item?
A partially eaten bag of grape weighs 5/8 of a pound. The bag of grapes weighed 4 times this amount before any were eaten. What was the original weight of the bag of grapes?
To find the original weight of a bag of grapes before some were eaten, you divide the current weight of 5/8 lb by 4. The calculation reveals that the bag's original weight was 5 pounds.
The question asks us to calculate the original weight of a bag of grapes before it was partially eaten. After eating some of the grapes, the bag now weighs 5/8 of a pound. To find the original weight, we need to determine what weight, when multiplied by 4, would equal 5/8 of a pound. We do this by dividing the current weight by 4 to reverse the multiplication. Using the formula:
Original Weight = Current Weight / 4
So:
Original Weight = (5/8) lb / 4
When we do the calculation:
Original Weight = (5/8) lb / (4/1)
Original Weight = (5/8) lb \(1/4)
Original Weight = (5/32) lb
Since (5/32) lb is equivalent to 5 pounds (when multiplied by 4, it gives 20/32 lb, which simplifies to 5/8 lb), the original weight of the bag of grapes was 5 pounds.
Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered 1-4 on each die). (give the probabilities as decimals rounded to four decimal places.)
What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the last choice on accident
Answer:
Option C
Step-by-step explanation:
we need to find the solution(s) to the quadratic equation 50 – x^2 = 0
50 – x^2 = 0
Subtract 50 from both sides
– x^2 = -50
Now divide by -1 from both sides
x^2 = 50
To remove square , take square root on both sides
[tex]x=+-\sqrt{50}[/tex]
[tex]x=+-\sqrt{25*2}[/tex]
[tex]x=+-5\sqrt{2}[/tex]
Option C is the answer
what is 6.345 divided by 0.09
write an equation in slope intercept: 6x+5y=30
Evie buys a coat that is marked down by 30% from the original price. After the markdown, the sale price of Evie's coat is $56.00. What was the original price of the coat before the markdown?
A.$72.80
B.$80.00
C.$86.00
D.$95.20
What expression represents "one third of the difference between fifteen and some number"?
Possible Answers:
Write a function rule that gives the total cost c(p) Of p pounds of sugar if each pound costs $.59.
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
the asnwer is 5
Step-by-step explanation:
i did this question
determine which statement is true about the zeros of the function graphed below
Answer:
B
Step-by-step explanation: