Answers
Answer:
x = 10 units
Step-by-step explanation:
By theorem,
Perpendicular drawn from the center to the chord of a circle, bisects the chord.
AB = BC = 6
In right triangle ΔCBD,
By applying Pythagoras theorem,
CD² = BC² + BD²
= 6² + 8²
CD = [tex]\sqrt{36+64}[/tex]
= 10
Since, CD and the side measuring x are the radii of the circle D.
x = CD = 10 units
Related Questions
How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Answers
Answer:1828
Step-by-step explanation:
Pls help math question
Answers
Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = [tex]286(1.009)^{t-1995}[/tex]
Here, t = year
a). For P = 311 million people
311 = [tex]286(1.009)^{t-1995}[/tex]
[tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
[tex]\frac{0.03639}{0.00389}=t-1995[/tex]
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answers
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?
Answers
Answer:
she paid 420 dollars for it
Step-by-step explanation:
30 percent of 600 is 180
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answers
Answer:
D) 1078
Step-by-step explanation:
Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9
Answers
Answer:
Number 7 is; -1/7776
number nine is :| −8/ 3 | or 2.666667
Step-by-step explanation:
-1/6)^5=1^5/6^5
=-1/^5/6/5
1^5=1
=-1/6^5
6^5=7776
=-1/7776
|(− 1/ 3 )(110+9−2)|
=| −1/ 3 (110+9−2)|
=| −1/ 3 (1+9−2)|
=| −1/ 3 (10−2)|
=| −1 /3 (8)|
=| −8 /3 | =2.666667
Hope this helped!!!!
The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of π.
Answers
Answer:
12.25π m²
Step-by-step explanation:
Circumference = Diameter x pi
Area = radius squared (^2) x pi
7 divided by 2 = 3.5
3.5^2 = 12.25
12.25π
Answer:
A ≈ 3.9
Step-by-step explanation:
How to solve
Using the formulasA=πr2
C=2πr
Solving for AA=C2
4π = 72
4·π ≈ 3.8993
Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9
A sales and marketing management magazine conducted a survey on salespeople cheating on their
expense reports and other unethical conduct. In the survey on 200 managers, 58% of the managers
have caught salespeople cheating on an expense report, 50% have caught salespeople working a
second job on company time, 22% have caught salespeople listing a "strip bar" as a restaurant on an
2 expense report, and 19% have caught salespeople giving a kickback to a customer.
construct a 95% confidence interval estimate of the population
3 proportion of managers who have caught salespeople cheating on an expense report.
Answers
Answer:
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.
This means that [tex]n = 200, \pi = 0.58[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484[/tex]
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
The verticals of ABC are A (-3,4), B (-2,4) and C(-4,2). ABC is reflected across the y-axis and then reflected across the x-axis to produce the image A”B”C. Graph ABC and A”B”C.
WHICH GRAPH SHOWS ABC AND A”B”C
Answers
Answer:
A
Step-by-step explanation:
A function y(t) satisfies the differential equation dy dt = y4 − 10y3 + 24y2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = (b) For what values of y is y increasing? (Enter your answer in interval notation.) y (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y
Answers
Answer:
[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]
[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]
[tex](c)\ (4,6)[/tex]
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
Solving (a): The constants
This implies that:
[tex]\frac{dy}{dt} = 0[/tex]
So, we have:
[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]
Factorize:
[tex]y^2(y^2 - 10y + 24) = 0[/tex]
Expand and Factorize the expression in bracket
[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]
[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]
[tex]y^2(y - 4)(y - 6) = 0[/tex]
Split
[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]
Solve for y
[tex]y =0\ or\ y=4\ or\ y=6[/tex]
The above represents the constants
Solving (b): Increasing values
Here
[tex]\frac{dy}{dx} > 0[/tex]
Follow the same process in (a) but replace all = with >
i.e.
[tex]y^2(y - 4)(y - 6) > 0[/tex]
[tex]y >0\ or\ y>4\ or\ y>6[/tex]
Test the values of each inequality
For [tex]y > 6[/tex]; say [tex]y = 7[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]
[tex]\frac{dy}{dt} = 147[/tex]
[tex]147 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]; This implies that: [tex](6, \infty)[/tex]
For [tex]y > 4[/tex] Say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is false:
Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
[tex]27 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]
For [tex]y > 0[/tex]
[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]
We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]
[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]
So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]
Solving (c): Decreasing values
Here
[tex]\frac{dy}{dx} < 0[/tex]
i.e.
[tex]y^2(y - 4)(y - 6) < 0[/tex]
[tex]y <0\ or\ y<4\ or\ y<6[/tex]
Test the values of each inequality
For [tex]y < 6[/tex]; say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is true for [tex]\frac{dy}{dx} < 0[/tex]; This implies that: [tex](\infty,6)[/tex]
For [tex]y < 4[/tex]; say [tex]y = 3[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
This is false
Say [tex]y = 5[/tex] i.e. [tex]y > 4[/tex]
This is the same as: [tex]y < 6[/tex]
So, we have the interval to be: [tex](4,\infty)[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is false
Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]
[tex]\frac{dy}{dt} = 32[/tex]
This is also false
So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].
This can be merged as: [tex](4,6)[/tex]
Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]
A rectangular print on the Smiths living room wall is 4 feet long and 2 feet 6 inches wide. How many inches longer is the print than it is wide?
Answers
Answer:
The print is 18 inches longer then it is wide
Step-by-step explanation:
I multiplied 12 x 4 becuase there are 12 inches in a foot to get 48 inches. So the print is 48 inches long. Then I multiplied 2 times 12 to get 24 and then 24+6 + 30 so the rug is 30 inches wide. Finally I subtracted 30 from 48 to get the diffrence in inches. Which is 18 :)
Find the area of the figure
Answers
Answer:
3250
Step-by-step explanation:
5x13x5x10=3250
Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answers
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese
find the measure of angle A
Answers
Step-by-step explanation:
angle a is interior angle
so 65+3x+2+7x+3=180
65+10x+5=180
70+10x=180
180-70=10x
110=10x
X= 11
so 3x+2= 33+2
= 35
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?
Answers
Answer:
The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answers
Answer:
1=5 so x=4.5
Step-by-step explanation:
so 11x-9=7x+9
4x=18
x=18/4
x=4.5
Which of the following is a unit rate?
55 miles / 2 hours
2 pounds per 32 ounces
6 miles per minute
21 days in 3 weeks
Answers
Answer:
Lets be honest we all come to this website just to get answers but the answer would be either C or A
Step-by-step explanation:
find the solution of the system of equations
Answers
Answer:
( -2 , 1 )
Step-by-step explanation:
••••••••
sorry no explanation for today
A line passes through the point (-8, -3) and has a slope of -3/2
Write an equation in slope-intercept form for this line.
Answers
Answer:
this is the answer
Step-by-step explanation:
hope it helped!!!
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answers
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
Jamie placed $2800 in a savings account which earns 4.3% interest, compounded continuously. How much will she have in the account after 9 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answers
Answer:
4123
Step-by-step explanation:
A=Pert,
where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find
A=Pert=2800e(0.043)(9)≈4123.16
Solve this for me (geometry) ? It asks if it’s yes or no.
Answers
Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
ill mark you but i just wanna see if my answer is correct or not
Answers
Answer:
No, it should be 10.
Step-by-step explanation:
The first digit of 4 underlined in 448,023 represents 400,000.
As 448,023 =
(400,000) + (40,000) + (8,000) + (20) + (3).
While the second digit of 4 that is not underlined in 448,023 represents 40,000.
400,000 / 40,000 = 10.
6/7 - 1/3
Your answer
Answers
11/21
b/t/w you con go on this website called calculator soup and it has fraction calculators
and the website it self has nothing to download im pretty sure it doesnt
Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)
Answers
Answer:
A. 55°
hope it can help you
F(-4) if f(x) = -5x - 3
Answers
Answer:
Substituting 4 for x:
ƒ(4) = 3(4 - 5)
ƒ(4) = -3
So, ƒ(4) = -3
Hopefully you understand now!
Need some help on this question???
Answers
Answer: 4
Step-by-step explanation:
Given
PA=6, PD=4, BE=5
We know, If PEB is a secant that intersects the circle at E and B and PA be a tangent at A, then
[tex]PA^2=PE\cdot PB[/tex]
Substitute the given values
[tex]\Rightarrow 6^2=(PE+BE)\cdot(PE)\\\Rightarrow 36=(PE+5)\cdot(PE)[/tex]
Take [tex]PE=x[/tex]
[tex]\Rightarrow 36=x^2+5x\\\Rightarrow x^2+5x-36=0\\\Rightarrow x^2+9x-5x-36=0\\\Rightarrow (x+9)(x-4)=0\\\Rightarrow x=-9,4[/tex]
Discard [tex]x=-9[/tex]
[tex]\therefore PE=4[/tex]
if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10
Answers
Answer:
xy = k
solve for k...
(8) * (8/3) = (64/3) = k
y = k / x
when x = 4,
y = (64/3) * (1/4) = (16/3)
Step-by-step explanation:i g o o g l e it
Evaluate the expression if b = -2/3 and c = 1/2.
2bc + 3b^2
Answers
Answer:
2/3
Step-by-step explanation:
2 (−2/3) (1/2) + 3 (−2/3)^2
= −4/3 (1/2) + 3 (−2/3)^2
= −2/3 + 3 (−2/3)^2
= −2/3 + 3 (4/9)
= −2/3 + 4/3
= 2/3
Factor out the greatest common factor
15x^2-21x
^=exponent
Answers
Answer:
3x
Step-by-step explanation:
3x(5x-7)
brainliest!