In the diagram, point B is a point of tangency. Find
the radius r of OC.
The radius r for the circle C is equal to 39 using the Pythagoras rule for the right triangle ABC
How to evaluate for the radius using Pythagoras ruleSince the line AB is tangent to the circle at point B, then the triangle ABC is a right triangle and the Pythagoras rule can be applied as follows:
(50 + r)² = r² + 80²
r² = (50 + r)² - 80²
r² = (50 + r - 80)(50 + r + 80) {difference of two square}
r² = (r - 30)(r + 130)
r² = r² + 130r - 30r - 3900 {expansion of brackets}
r² - r² + 130r - 30r = 3900 {collect like terms}
100r = 3900
r = 3900/100 {divide through by 100}
r = 39
Therefore, the radius r for the circle C is equal to 39 using the Pythagoras rule for the right triangle ABC.
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I have provided a picture
The regression equation is y = 28.0 + 0.0510x.
The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.
What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.
How to determine the line of best fit?In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:
y = 28.0 + 0.0510x
When x = 3000, the temperature can be calculated as follows;
y = 28.0 + 0.0510(3000)
y = 181°F
In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.
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Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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3 2/5 divided by 1 1/5 pleaseeee help its due on may 24
Answer:
2.83333333333
Step-by-step explanation:
(3 2/5) / (1 1/5) = 2.83333333333
Answer:
85/30 or 2.833333333
Step-by-step explanation:
When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.
It is also much easier to solve after you convert these numbers to improper fractions.
In this case,
3 2/5 = 17/5
1 1/5 = 6/5
17/5 ÷ 6/5
17/5 x 5/6
85/30 (17/6 reduced)
or
2.83333333333333333333
Which person earns a living wage?
A. Paulo earns $350 per week, and his weekly costs are $400.
B. DeMarcus earns $350 per week, and his weekly costs are
$300.
c. Vivienne earns $250 per week, and her weekly costs are
$400.
D. Claudia earns $250 per week, and her weekly costs are
$300.
Answer:
B becouse he earns 350 and spends 300 so he is earning 50 extra
Step-by-step explanation:
Answer:
B. DeMarcus earns $350 per week, and his weekly costs are $300.
Step-by-step explanation:
What is a living wage?The minimum income necessary for a worker to meet their cost-of-living expenses and to provide some discretionary income.
Therefore, a person earns a living wage if their earnings are greater than their weekly costs.
The only person who earns more than their weekly costs is DeMarcus.
Since DeMarcus earns $350 per week and his weekly costs are $300, his income is enough to meet his basic needs with $50 left over.
I really need help asap. What’s the answer?
꧁Helloo!꧂
・❥・・・❥・❥・・❥・・❥
It's a linear function because the formula of the linear function is
Y=mx+b
The h(x) is also considered the y its just another mathematical way of saying it.
the mx which is the slope is -2x
And since there is no B there it's only going to be considered zero
I hope iv been of help to you ^w^
・❥・・❥・・❥・・❥・・❥
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
\(\frac{2(4+7)-7}{5}\)
\(\frac{2(11)-7}{5}\)
\(\frac{22-7}{5}\)
\(\frac{15}{5}\)
Helpp please I don’t understand :(
Answer:
s = 2 1/3 + 1/2
t = 2/3 + 3/2
We have to find the sum of both s and t.
2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6
2/3 + 3/2 = 4/6 + 9/6 = 13/6 = 2 1/6
If we look at the number lines, we can see that c matches with both points.
a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7
Answer:
a) 9/7
Step-by-step explanation:
\( \dfrac{x^2 + x - 20}{x^2 - x - 12} = \)
\( = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} \)
\( = \dfrac{x + 5}{x + 3} \)
x = 4
\( = \dfrac{4 + 5}{4 + 3} \)
\( = \dfrac{9}{7} \)
Philip is assigned to read a book for his literature class that is 240 pages long. He reads at a rate of 30 pages per hour. If he can only read for 2 hours per day, how many days will it take him to finish the book?
Answer:
4 days
Step-by-step explanation:
240 pages read at 30 pages/hour
(240 pages)/(30 pages/hour) = 8 hours
He will need to read for 8 hours.
He reads 2 hours per day.
(8 hours)/(2 hours/day) = 4 days
Answer: 4 days
Answer:
it will take him 4 days to finish the book
Step-by-step explanation:
so, look at it this way: he needs to read 240 pages, and can only read 2 hours a day, and when you look how many pages he can read it says 30 pages per hour, so you take 2*30 to get 60, from there you divide 240 and 60 to get 4,
Is 80 fluid ounces equals to 11 cups
Answer:
10 US cups
Step-by-step explanation:
depends which cups you have
Answer:
no it is less
Step-by-step explanation:
What is the equation of this line?
y = -4×
y = 4×
y = - 1/4×
y = 1/4×
When you flip a based coin the probability of getting a tail is 0.39. What's the probability of getting head
Answer:
0.61 or 61 %
Step-by-step explanation:
Answer:
0.61
Step-by-step explanation:
0.39 is also 39%, the highest probability is always 100% unless it says otherwise, so our equation is:
1 - 0.39 = 0.61
So the probability of getting a head is 0.61 or 61%
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 10 inches, a width of 3 inches, and a height of 4 1/2 inches. What is the surface area?
Answer:
The surface area is 177 square inches
Step-by-step explanation:
Given
\(Length = 10\)
\(Width = 3\)
\(Height = 4\frac{1}{2}\)
Required
The surface area
This is calculated as:
\(Area = 2 * (Length * Width + Length * Height + Width * Height)\)
So, we have:
\(Area = 2 * (10* 3+ 10* 4\frac{1}{2}+ 3* 4\frac{1}{2})\)
\(Area = 2 * (30+ 45+ 13\frac{1}{2})\)
\(Area = 2 * (88\frac{1}{2})\)
\(Area = 177\)
which equation is equivalent to 2x + 4a = 10
Answer:
x = 5 - 2a
Step by step explanation:
2x + 4a = 10
So, 2x = 10 - 4a
=> x = (10 - 4a)/2
=> x = 5 - 2a
Hope this answer helps, if it does help, please mark me as brainliest,
Thank you.
How many lines of symmetry does a regular decagon have?
A. 8
B. 10
C. 11
D. 12
Answer:
B. 10
Step-by-step explanation:
4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
jennie spent 1/3 of her allowance on a new book and 2/5 of her allowance on some pencil s. How much of her allowance did she spend.
Answer:
She spent 2 1/5 of her allowance
Step-by-step explanation:
SOOOO, 3 and 5 multiplied make 15.. Right?
So, what is 1/3 of 15? it's 5
So, what is 2/5 of 15? It's 6
so 5+6=11
11/15
and reduce
so 2 1/5
I hope this helps
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
looked up on Quizlet so yeah
your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
Answer:
Step-by-step explanation: 1/7
help now plsssss!!!!!!!
Joe found the mean and standard deviation of the set of numbers given below
mrs .velazco gave her students four options to choose from for the class project
Answer:
Step-by-step explanation:
what are the options
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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need answer asap
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.
According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 8 EndFraction
One-fourth
One-half
Answer:
1/4 will cancel
Step-by-step explanation:
Simplify the fraction
35
-----
140
Divide the top and bottom by 7
5
---
20
divide the top and bottom by 5
1
----
4
factor this: x^2-2x+8
Answer: x^2-2x+8
Step-by-step explanation:
its does not factor any more
its already in its lest form so therefore
the answer is x^2-2x+8
Hope this helps :)
Suppose you make $5 an hour as a dog walker. Let h represent the number of hours you work in a week. Write an expression that represents the amount of money you earn in a week and evaluate it for h = 20.
Answer:
e = 5h
$100
Step-by-step explanation:
Let e = earnings
e = 5h
For h = 20,
e = 5h = 5(20) = 100
Answer:
$ 100
Step-by-step explanation:
1 hour = $ 5
h (hours worked in a week) = 20 hrs
EXPRESSION: amount of money earned in a week = h × 5
EVALUATION: amount of money earned in a week = 20 × 5
amount of money earned in a week = $ 100 ... answer
hope that helps...