The value of n for the given circle with chords is; n = 14
How to find the length of a chord?
To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.
Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;
7(8) = 4(n)
56 = 4n
14 = n
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Find the inverse of the following function. f(x) 8√ x for x > 0
The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.
To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.
Let's start by rewriting the function using y instead of f(x):
y = 8√x
Next, we'll swap x and y:
x = 8√y
To isolate y, we can square both sides:
[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]
Now, divide both sides by 64:
[tex]x^2/64 = y[/tex]
Simplifying further:
[tex]y = x^2/64[/tex]
Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]
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The mean of the data set is 18 what’s the missing number 21,11,blank,27,22,13,16
9514 1404 393
Answer:
16
Step-by-step explanation:
The sum of the 7 numbers needs to be 7·18 = 126.
Then the missing number is ...
126 -21 -11 -27 -22 -13 -16 = 16
Convert the fraction to decimal and decimal into the fraction 10.222
Answer:
10 and 222/1000
Step-by-step explanation:
Suppose the dial on the spinner is spun 2 times in a row.
X is the number of times the dial lands on region A.
Which table represents the probability distribution for the variable X?
if this is your spinner the answer is
the answer is
X P
0 1/9
1 4/9
2 4/9
There are seven black marbles and nine white marbles in a bag what is the aprroximate probability of drawing two black marbles and then a white marble without replacement
The approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Number of black marbles = 7
Number of white marbles = 9
The event of drawing two black marbles from seven black marbles is
⇒ [tex]\frac{7C_{2} }{16C_{2} }[/tex]
[tex]7C_{2} =\frac{(7)(6)}{(1)(2)}[/tex]
⇒ 21
[tex]16C_{2}=\frac{(16)(15)}{(1)(2)}[/tex]
⇒ 120
Now, [tex]\frac{7C_{2} }{16C_{2} }=\frac{21}{120}[/tex]
Total number of balls, after drawing 2 black balls without replacement is
⇒ 16 - 2 = 14
The event of drawing a white marble without replacement from nine white marbles is
[tex]\frac{9C_{1} }{14C_{1} } = \frac{9}{14}[/tex]
Thus, the approximate probability of drawing two black marbles and then a white marble without replacement is
P(E) = [tex](\frac{21}{120}) (\frac{9}{14} )[/tex]
⇒ 9/80
Hence we can conclude that the approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.
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Your school drama club is putting on a play and hopes to raise $600 from ticket sales. They sell adult tickets for $8 each and student tickets for $5 each. Let x represent the number of adult tickets and y represent the number of student tickets. The equation to represent the number of tickets sold to reach their goal, 8x+ 5y = 600, is graphed below. If 40 adult tickets are sold, how many student tickets must be sold to reach their goal?
Diagram can be shown here:
https://static.k12.com/eli/bb/343/3_23939/2_15013_4_23943/d7066d09bfa7bf4e8df2b2c0b508a3e8ba21c76d/media/b1cd8381087979f1dffbcd6f3efef158a61fbd57/mediaasset_649354_1.gif
What is the maximum number of real zeros that a function with degree 5?
Can someone please help me out on this?
You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?
Answer:
The answer is going to be $131.05
Step-by-step explanation:
I just took the test
Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
3 - 10x^2 - 7x + 3x^2
A lake has the capacity to support 10,000 trout. Suppose that the conditions are such that the current population of trout will grow logistically up until it stabilizes at the amount that the lake can support. Currently there are 1,500 trout in the lake. Which of the following is a possible model for P(t), the trout population in t years?
Answer:
P(t) = 10,000/ (1+9e^-0.48t)
Step-by-step explanation:
i think because it starts at around 1500 for t=1 and then when t=2 and so on it grows exponentially.
If GH = 3 and HJ = 5, then G ___ J.
Choose the relationship symbol that would make a true statement.
Step-by-step explanation:
The given equation is as follows.
GH = 3 and HJ = 5
Therefore, simplify for H from both the equations as follows.
H = [tex]\frac{3}{G}[/tex] .......... (1)
and, H = [tex]\frac{5}{J}[/tex] .......... (2)
Equating both equation s(1) and (2), we get the following.
[tex]\frac{3}{G}[/tex] = [tex]\frac{5}{J}[/tex]
G = [tex]\frac{3J}{5}[/tex]
or, G = 0.6J
This means that J will be 0.6 times greater than G.
Thus, we can conclude that G < J.
PLEASE HELP ASAAAAPPPPPP
The table below shows the data collected on the number of car washes, y, each day since the Auto Spa opened, x.
Days Since Auto Spa Opened 0 20 40 60 80 100
Number of Car Washes 29 35 18 31 28 14
The owner of the new Auto Spa created a line of best fit for the data that can be modeled by the following equation.
y = -0.12x + 31.76
Match the slope and y-intercept with the correct description for the given situation.
titles
the number of cars washes on the day the Auto Spa opened
the ratio of car washes to the number of days since the Auto Spa opened
the number of car washes
the total number of days since the Auto Spa opened
the ratio in the number of days since the Auto Spa opened to the total profit
pair
y-intercept
slope
Answer:
The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.
Step-by-step explanation:
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He found a plane with an incline of 12 degrees that he could climb until he could get to an altitude of 100 m. How far should Galileo walk up the inclined plane? Round your final answer to the nearest hundredth.
Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have:
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters.
Let's suppose Galileo walked x meters up the inclined plane.
The plane with an inclined a 12°
As we can see in the right angle triangle the sin ratio:
[tex]\rm sin24\° = \frac{100}{x}[/tex]
[tex]\rm x = \frac{100}{sin24\°}[/tex]
x = 480.97 meters (Sin12° = 0.20791)
Thus, Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
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What is the measure of ∠EGF?
What is the measure of ∠CGF?
For which data representation is the median the better measure of center
I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:
which reason justifies the last step in a proof that ΔEDG≌ΔADC?
The measure of a minor arc is equal to the measure of __________
Factor completely x2 - 8x + 16
A. (x+4)(x+4)
B. (x-4)(x-4)
C. (x+4)(x-4)
D. (x-2)(x-8)
Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for what other family of functions?
Exponential
Linear
Rational
Polynomial
Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for the exponential family of function.
This comes from the definition of logarithm itself which says that a logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Let us illustrate this by way of an example. We know that 100 can be represented as [tex] 10^2 [/tex]. Here 10 is the base, 2 is the power and 100 is the given number. Therefore,
[tex] 10^2=100 [/tex]
Likewise, we can represent 1000 as [tex] 1000=10^3 [/tex]
Now, if we multiply [tex] 10^2 [/tex] and [tex] 10^3 [/tex] we will get: [tex] 10^2\times 10^3=10^{2+3}=10^5 [/tex]. We added the powers. Therefore, the logarithm of [tex] 10^5 [/tex] to the base 10 is 5.
Let us see if we will get the same result by using the rules of logarithms.
[tex] log(10^2\times 10^3)=log(10^2)+log(10^3)=2log(10)+3log(10)=2+3=5 [/tex]
As we can see we got the same result by using the logarithm and the exponential rule, thus, verifying our answer. Similar results can be obtained for other operations of the logarithmic rule.
15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification?
(A) The function has a maximum at x=5 because f'(5)=0.
(B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5.
(C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal.
(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3.
(E) The function has a minimum at x=3 because f"(3)<0.,
What is the correct definition of the third quartile of a data set?
A. The third quartile is all the numbers of the data set added together and divided by 3. B. The third quartile is the difference between the maximum and median. C. The third quartile is the median of the upper half of data in the data set. D. The third quartile is the mode of the upper half of data in the data set.
Option: C is the correct answer.
C. The third quartile is the median of the upper half of data in the data set.
Step-by-step explanation:We know that our data is divided into three quartiles:
1)
First quartile or lower quartile--
It is the median of the lower set of the data.
2)
Middle quartile or Median--
Median is the central tendency of the data and it always exist in the middle of the data set.
3)
Third quartile or upper quartile--
It is obtained by finding the median of the upper set of the data.
Hence, the answer is: Option: C
Compare the values of the underlined digits.
34,258 and 47,163
- -
The value of 4 in _________ is______ times the value of 4 in ________
PLEASE ANSWER ASAP IT'S FOR MY SISTER
(x 2 + 2x - 1)(x 2 + 2x + 5) Please help asap!
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are
Rotate this image 90 clockwise around the point (-1 1 )
Answer: You didn't put options A, B, C, OR D
no picture either
Step-by-step explanation:
AC is tangent to circle O at A. If mBY =24, what is m