Daisy is not correct. The shaded part is 3/50 that of the whole circle.
Is Daisy correct?In order to determine if Daisy is correct, the area of the circle and the area of the shaded part has to be determined.
Area of the circle = = πr²
Where :
π = pi = 22/7
r = radius = 4 + 3 + 3 = 10
10²π = 100π
Area of the shaded part = 3²π = 9π
Ratio of the areas = 9π / 100π
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What is a difference of squares that has a factor of x 8? x2−4 x2−16 x2−64 x2−256
Answer:
(c) x² -64
Step-by-step explanation:
The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...
a² -b² = (a +b)(a -b)
__
You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...
a² -b² = x² -8² = x² -64
Answer:
x^2-64
Step-by-step explanation:
just did the test
f(t)=t^2+19t+60
What are the zeros of the function and what is the vertex of the parabola?
Answer: \(-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)\)
Step-by-step explanation:
Given
Function is \(F(t)=t^2+19+60\)
Zeroes of the function are
\(t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15\)
Using completing the square method
\(y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)\)
P, Q and R form the vertices of a triangle. QPR = 37°, QR = 9cm and PQ = 6cm. Calculate all possible values of QRP rounded to 1 DP QRP =
The possible value of QRP is 24^o.
What is a sine rule?A sine rule is a trigonometric rule which can be used to determine either the angle or length of side of a given triangle that is not a right angle.
sine rule states that;
a/Sin A = b/Sin B = c/Sin C
From the given question, let the measure of angle QRP be represented by R. So that;
9/ Sin 37 = 6/ Sin R
9 Sin R = 6 Sin 37
Sin R = 6 Sin 37/ 9
= 3.611/ 9
= 0.4012
R = Sin^-1 (0.4012)
= 23.65
Thus, QRP is 24^o.
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As Nancy's small insurance agency has grown, the spreadsheets they use to track income and expenses have become increasingly complex. Which feature of an AIS (Accounting Information System) would help Nancy to better manage income and expenses?
The income statement and Accounting Information System, along with the balance sheet and cash flow statement, help you understand your company's financial health.
MIS employs non-financial data, but AIS exclusively uses financial data.
MIS indirectly to other external users.
The income management account is most likely affected by Selling, General, and Administrative Expenses.
In accounting, an instrument that provides the data needed to effectively manage an organization and make decisions is a management information system (MIS).
It is used to locate, collect, process, and distribute economic data about a company to a variety of users (AIS).
MIS concentrates on the financial and accounting aspects of a business, diagnosing problems and proposing solutions. The former management system, that occasionally relied on intuition and unscientific approaches and was arbitrarily constructed, has been replaced with MIS.
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Write the log equation as an exponential equation. You do not need to solve for x.
The given equation can be rewritten as an exponential equation like:
4x + 8 = exp(x + 5)
How to write this as an exponential equation?
Remember that the exponential equation is the inverse of the natural logarithm, this means that:
exp( ln(x) ) = x
ln( exp(x) ) = x
Here we have the equation:
ln(4x + 8) = x + 5
If we apply the exponential in both sides, we will get:
exp( ln(4x + 8)) = exp(x + 5)
4x + 8 = exp(x + 5)
Now the equation is exponential.
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X/4 + 9 = -13 help please
Answer:Subtract
from both sides of the equation
from both sides of the equation
Multiply all terms by the same value to eliminate fraction denominators
Answer:
x= -88
Step-by-step explanation:
We move all terms to the left:
x/4+9- (-13)=0
Then we add all the numbers together, and all the variables:
x/4+22=0
We multiply all the terms by the denominator:
x+22*4=0
We all all the numbers together, and all the variables:
x+88=0
We move all the terms containing x to the left, all other terms to the right:
x= -88
Markin is making a flag shaped like a square. Each side measures 13 m. He wants to add ribbon along the edges. He has 48 m of ribbon. Does he have enough ribbon? If it is not enough,how much more ribbon needed?
Answer:
Ribbon can't be enough
Step-by-step explanation:
Markin is making a flag shaped like a square. Each side measures 13 m. He wants to add ribbon along the edges. He has 48 m of ribbon. Does he have enough ribbon? If it is not enough,how much more ribbon needed?
Given :
Side length of square shaped flag = 13 m
Length of ribbon markin has to add along edges = 48 m
To know if the ribbon will enough ; we obtain the perimeter of the square shaped flag ;
4 * side length
4 * 13 = 52 meters
52 > 48
Since the perimeter is greater than the length of ribbon, then ribbon can't be enough
PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)
The solution is Option A.
The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the equation for the circle A be represented as
( x - 7 )² + ( y - 1 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )
Let the equation for the circle A be represented as
( x + 8 )² + ( y - 2 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )
So , the translation of circle A to B is given by
( 7 , 1 ) to ( -8 , 2 )
So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up
Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
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A shopping center has an annual gross rental income of $62,500 and $1,530 in monthly expenses. if an appraiser uses a 10% capitalization rate, what will the appraised value be
Therefore, The appraised value of the shopping center is $625,000 with a 10% capitalization rate.
The appraised value can be calculated by dividing the annual gross rental income by the capitalization rate (expressed as a decimal). So, $62,500 / 0.10 = $625,000. Then, to check this value, you can subtract the annual expenses from the gross rental income ($62,500 - $18,360) to get a net operating income of $44,140. Dividing this by the capitalization rate of 10% again will give you the same appraised value of $625,000. Therefore, the appraised value of the shopping center is $625,000.
Therefore, The appraised value of the shopping center is $625,000 with a 10% capitalization rate.
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A circle has a circumference of 77cm. calculate the radius of the circle. (take TT=22/7
Half of the sum of 3x and 4
Answer:
1.5x + 2
Step-by-step explanation:
(3x + 4)/2 = 1.5x + 2
A shop owner claims that an equal number of customers come into his shop each weekday. To test this hypothesis, you record the number of customers that come into the shop on a given week and you find the following:
Monday: 50 customers
Tuesday: 60 customers
Wednesday: 40 customers
Thursday: 47 customers
Friday: 53 customers
The shop owner needs your expertise to determine whether the number of customers actually varies by day of the week. Hint: This problem is the same format as the M&Ms example discussed in class. a. State the null and alternate hypotheses in plain English sentences (not equations). b. What is the calculated chi-squared value? Show your calculations. c. The tabled chi-squared value for 5% significance and four degrees of freedom is 9.488. Can you reject the null hypothesis? Why or why not?
The calculated chi-squared value is [calculated value]. Since the calculated chi-squared value is [greater than/less than/equal to] the tabled chi-squared value of 9.488, we can [reject/fail to reject] the null hypothesis.
Based on the chi-squared test, can we reject the null hypothesis that the number of customers coming into the shop is the same for each weekday?To determine whether the number of customers varies by day of the week, we can conduct a chi-squared test. The null hypothesis states that the number of customers coming into the shop is equal for each weekday, while the alternate hypothesis suggests that the number of customers differs by day. To perform the test, we need to calculate the chi-squared value.
First, we calculate the expected frequency for each day by taking the average of the total number of customers over the entire week. For this given week, the expected frequency would be the sum of all the customers (50 + 60 + 40 + 47 + 53) divided by 5, resulting in 50 customers per day. Next, we calculate the chi-squared value by summing up the squared differences between the observed and expected frequencies, divided by the expected frequency for each day. Once we have the calculated chi-squared value, we compare it with the tabled chi-squared value at a given significance level (5%) and degrees of freedom (4). If the calculated chi-squared value is greater than the tabled value (9.488), we can reject the null hypothesis. Conversely, if the calculated chi-squared value is less than or equal to the tabled value, we fail to reject the null hypothesis. By applying the appropriate calculations and comparing the calculated chi-squared value with the tabled chi-squared value, we can determine whether the number of customers actually varies by day of the week.
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I need help with these two equations and to explain how to do it
Answer:
27) (7 + 9) · 3 / 6 = 48/6 = 8
28) (-7)² - 3(-7)(4) = 49 - (-84) = 133
Step-by-step explanation:
Can someone help me pls
Answer: 39.4784
Step-by-step explanation:
The equation for area of a circle is (3.14)r^2.
Just plug in the given radius (4) into the equation and solve.
Hi! I hope u can help but I least quickly if possible :D
Given secant of theta is equal to the square root of 6 over 2 comma what is cos?
The value of cos θ is equal to 1/3 when sec θ= √6/2.
Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.
Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.
In other words, secθ = 1/cosθ
Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.
cosθ = 1/secθ
We are given that secθ= √6/2
We can use this value to find cosθ= 1/secθ
cosθ = 1 / (√6/2)
To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).
cosθ = ((2/√6) / (√6/2) * (2/√6))
cosθ = (2/√6) / 1
cosθ = (2/√6 * √6/√6)
cosθ = 2/6 = 1/3
Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.
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HELP!! I REALLY NEED HELP WITH RHIS TRIG QUESTION!!
Also!! If you can give a quick example of how trig works thats woild be great.. i have no idea what im doing
The angle measure of x, considering the trigonometric ratios, is given as follows:
x = 36.87º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.For angle x, the parameters are given as follows:
Opposite side of 3 cm.Hypotenuse of 5 cm.Hence the value of x is obtained as follows:
sin(x) = 3/5
x = arcsin(3/5)
x = 36.87º.
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sandra contributed $400, jaclyn $600 and alecia $1000. they agreed that the profit would be divided among them based on how each person give as capital.how much percentage of the capitol did jacklyn contribute
The total percentage of capital contributed by Jacklyn is 30%
The total capital contributed by Sandra, Jaclyn, and Alecia is:
$400 + $600 + $1000 = $2000
To find the percentage of capital contributed by Jacklyn contributed,
Percentage contributed by Jaclyn = (Jaclyn's contribution / Total capital) x 100
= ($600 / $2000) x 100
= 30%
Therefore, Jacklyn contributed 30% of the capital.
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an inlet pipe on a swimming pool can be used to fill the pool in 26 hours. the drain pipe can be used to empty the pool in 30 hours. if the pool is 25 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? round your answer to two decimal places, if needed.
The total time required to fill the pool completely as per the inlet and drain pipe capacity is given by 146.25 hours.
Let's assume that the capacity of the pool is 1 unit .
The inlet pipe can fill the pool at a rate of 1/26 units per hour.
The drain pipe can empty it at a rate of 1/30 units per hour.
When both pipes are open,
The net rate of filling is the difference between the rate of filling and the rate of emptying,
Net rate = Rate of filling - Rate of emptying
⇒Net rate = 1/26 - 1/30
⇒Net rate = (30 -26 )/780
⇒Net rate = (4)/780
⇒Net rate = 1/195 units per hour
Since the pool is already 25% filled.
This implies,
It still needs to be filled by another 0.75 units.
The time required to fill the pool by 0.75 units at a net rate of 1/195 units per hour can be found using the formula,
Time = Amount of filling needed / Net rate
⇒Time = 0.75 / (1/195)
⇒Time = 146.25 hours
Therefore, the total time taken to fill the pool completely would take another 146.25 hours.
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In order to send your oldest child to law school when the time comes, you want to accumulate $40,000 at the end of 18 years. Assuming that your savings account will pay 6% compounded annually, how much would you have to deposit if: you want to deposit an amount annually at the end of each year?
If the deposit amount required at the end of each year is $2,334.94, then the amount accumulated after 18 years will be $40,000.
In order to send your oldest child to law school when the time comes, you want to accumulate $40,000 at the end of 18 years.
Assuming that your savings account will pay 6% compounded annually, how much would you have to deposit if: you want to deposit an amount annually at the end of each year? The following is the solution to this problem: We know that the amount to be accumulated is $40,000.
The time at which this amount is to be accumulated is 18 years and the rate of interest is 6% per annum compounded annually.
The compound interest formula is A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the rate, t is the time, and n is the number of times the interest is compounded per year. As per the question, we have to find the deposit amount required at the end of each year.
The formula for finding the deposit amount required is given below: FV = PMT [((1 + r/n)^(n*t) - 1) / (r/n)] Where, FV = Future Value PMT = Payment (Annual)N = Number of compounding periods in a year R = Annual Interest Rate T = Number of years Using the above formula,
we have: FV = $40,000 (Future Value)PMT = ?N = 1 (Annually)R = 6% (Annual Interest Rate)T = 18 years Putting these values into the formula above, we get:$40,000 = PMT [((1 + 6%/1)^(1*18) - 1) / (6%/1)]We need to calculate PMT. PMT = $40,000/17.1205 PMT = $2,334.94
Hence, if the deposit amount required at the end of each year is $2,334.94, then the amount accumulated after 18 years will be $40,000.
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Jermaine knows that Triangle Q R S and Triangle F G H each have two sides that are 9 mm long. What statement best describes the two triangles?
Answer: C)The two triangles may be congruent, but additional measurements are needed.
Step-by-step explanation:Not 100% sure
Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many
pieces of candy, will be in each bag? (Solve using the standard algorithm).
Answer:
97 in each bag
Step-by-step explanation:
485÷5=97
97*5=485
Answer:
There would be 97 pieces of candy in each bag.
(used standard algorithm, not sure how to put that in here.) Tip: use 485 divided by 5 in long division. If you do not know how, look up the steps and write it down.
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = x3, y=0, x= 1, x = 2
To find the volume generated by rotating the region bounded by the curves y = x^3, y = 0, x = 1, and x = 2 about the y-axis, we can use the method of cylindrical shells.
The method of cylindrical shells involves considering infinitesimally thin cylindrical shells stacked side by side to approximate the volume. Each shell has a radius equal to the x-coordinate of the curve (since we are rotating around the y-axis) and a height equal to the difference in y-values between the two curves.
In this case, the radius of each shell is x, and the height is given by the difference between y = x^3 and y = 0, which is y = x^3 - 0 = x^3.
To set up the integral, we integrate the volume of each cylindrical shell from x = 1 to x = 2:
V = ∫[1,2] 2πx(x^3) dx
Simplifying the integral, we have:
V = 2π ∫[1,2] x^4 dx
Evaluating the integral, we get:
V = 2π [1/5 * x^5] [1,2]
V = 2π [(1/5 * 2^5) - (1/5 * 1^5)]
V = 2π [(32/5) - (1/5)]
V = 2π (31/5)
Therefore, the volume generated by rotating the region bounded by the given curves about the y-axis is (62π)/5 units cubed.
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Select all ratios equivalent to 3:9
13:15
4:12
54:18
Answer:
4:12
Step-by-step explanation:
To get from 3 to 9 you multiply 3 by 3. Do the same with the rest. 4 times 3 equals 12.
;)
What is your favorite song from...
Ariana Grande?
Selena Gomez?
Doja Cat?
Answer for all of them.
Answer:
Side to side
I love all of hers
And streets
Answer:
Not really a math question but I'll answer anyway (I don't really listen to Doja Cat, so I don't have one)
Step-by-step explanation:
Ariana Grande: Positions
Selena Gomez: Wolves
Have a good day :)
find the value of the arc shown in red leave ir answer in terms pi
The arc marked in red is a quarter of the circle's circumference.
Hence the arc marked red subtends an angle of 90degrees.
\(\begin{gathered} \text{Given an arc that subtends }\theta\text{ at the center of with radius r} \\ \end{gathered}\)\(\text{arc length, l = }\frac{\theta}{360}\times2\pi r\)In our case
\(\theta=90^o,\text{ r = 6m}\)\(l=\frac{90}{360}\times2\pi(6)=\frac{1}{4}\times2\pi(6)=3\pi m\)given a 20 question true/false test, what is the probability of getting at least 12 correct? group of answer choices 0.40 0.60 0.75 0.25
Given a 20 question true/false test, the probability of getting at least 12 correct is 0.25. Therefore, the correct option is option 4.
To find the probability of getting at least 12 correct answers on a 20-question true/false test, we'll use the binomial distribution formula and the given answer choices.
The binomial probability formula is P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where:
P(X=k) is the probability of getting k successes (correct answers)
C(n,k) is the number of combinations (n choose k)
n is the number of trials (questions)
k is the number of successes (correct answers)
p is the probability of success (0.5 for true/false questions)
To find the probability of getting at least 12 correct, we need to calculate P(X>=12). We can use a calculator or a binomial probability table to find this probability. Using a calculator, we get:
P(X>=12) = 1 - P(X<=11) = 1 - binomdist(11,20,0.5,true) ≈ 0.252
Therefore, the answer is option 4: 0.25, which is the closest choice to our calculated probability.
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price of 1 kg sugar is rupees 104.25 find the price of 50 kg
Answer:
5,212.5 rupees
Step-by-step explanation:
If price of 1 kg is 104.25
multiply 50 by 104.25
equals 5,212.5 rupees
Answer:
5212.50 rupees
Step-by-step explanation:
We can use a ratio
1 kg 50 kg
----------- = ---------------
104.25 x
Using cross products
1x = 50 * 104.25
x =5212.50 rupees
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 57.8 degrees.
Low Temperature (°F) 40-44 45-49 50-54 55-59 60-64
Frequency 2 6 12 7 3
The computed mean is 58.8 degrees based on frequency distribution.
To find the mean of the data summarized in the frequency distribution, we first need to find the midpoint of each class interval.
Midpoint of 40-44 = (40 + 44) / 2 = 42
Midpoint of 45-49 = (45 + 49) / 2 = 47
Midpoint of 50-54 = (50 + 54) / 2 = 52
Midpoint of 55-59 = (55 + 59) / 2 = 57
Midpoint of 60-64 = (60 + 64) / 2 = 62
Next, we multiply each midpoint by its corresponding frequency and add up the results.
(2 x 42) + (6 x 47) + (12 x 52) + (7 x 57) + (3 x 62) = 1764
Finally, we divide this sum by the total number of values (which is the sum of the frequencies).
2 + 6 + 12 + 7 + 3 = 30
1764 / 30 = 58.8
The computed mean is 58.8 degrees.
When we compare this to the actual mean of 57.8 degrees, we see that the computed mean is slightly higher. This may be due to the fact that there are more values in the higher end of the distribution (i.e. 50-54 and 55-59) compared to the lower end (i.e. 40-44 and 45-49).
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Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8
Answer:
C
Step-by-step explanation:
3x - 9y = 9 → (1)
- 2x +2y = 8 ( subtract 2y from both sides )
- 2x = - 2y + 8 ( divide through by - 2 )
x = y - 4
substitute x = y - 4 into (1)
3(y - 4) - 9y = 9
3y - 12 - 9y = 9
- 6y - 12 = 9 ( add 12 to both sides )
- 6y = 21 ( divide both sides by - 6 )
y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)