Answer:
10
Explanation:
The graph of sin(x) = 1/2 has two solutions. Because the graph is
Then, the graph for sin(5x) is horizontal compression by a factor of 5, which means that sin(5x) = 1/2 will have 10 solutions, because
2(5) = 10
Therefore, the answer is 10.
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
Is 83.77 an integer?
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
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The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each
puppy gained 2.1 ounces, how much would the puppies weigh?
The first puppy would weigh ounces, the second puppy would weigh ounces, and the third
puppy would weigh ounces.
(Type integers or decimals.)
The answers are 8.6 ounces, 9.4 ounces, and 8.5 ounces
Explanation:
To find how much each puppy weights simply add the weight they gained (2.1 ounces) to the weight of each puppy at one week old. The process to add the weights is shown below:
First Puppy
6.5 ounces (weight at one week old) + 2.1 ounces (weight gained)
Align both numbers using the period as the reference and add
6.5
+ 2.1
8.6
The weigh of the first puppy is 8.6 ounces which can be rounded as 9 ounces (integer)
Second Puppy
Now, repeat the process
7.3 ounces + 2.1 ounces
7.3
+ 2.1
9.4
The weigh of this puppy is 9.4 ounces or 9 ounces (integer) if rounded
Third Puppy
6.4 ounces + 2.1 ounces
6.4
+ 2.1
8.5
The weight of the third puppy is 8.5 ounces which can be rounded as 8 ounces or 9 ounces (integers) depending on the rounding method.
Answer:
The answer to this questions is 8.6
Step-by-step explanation:
Which statements about quadrilaterals are true? Check all that apply.
The sum of the measures of their interior angles is 180º.
The sum of the measures of their interior angles is 360°.
They are all polygons with four sides.
All quadrilaterals must have at least one set of congruent angles or parallel sides.
A square is a rectangle and a parallelogram, but not a trapezoid.
Answer:
2. The sum of the measures of their interior angles is 360º.
3. They are all polygons with four sides.
5. A square is a rectangle and a parallelogram, but not a trapezoid.
Step-by-step explanation:
The statements b,c, and e about quadrilaterals are true
What is quadrilateral?
A quadrilateral is a closed figure with four sides. The total of the internal angle measurements is 360°. They are all four-sided polygons. A square is not a trapezoid, but it is a rectangle and a parallelogram.
The statements about quadrilaterals are true;
b. The sum of the measures of their interior angles is 360º.
c. They are all polygons with four sides.
d. A square is a rectangle and a parallelogram, but not a trapezoid.
Hence, the statements b,c, and e about quadrilaterals are true
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Solve F=9/5C+32 for C.
A.F−32/9
B.5/F−32
C.9/5(F−32)
D.5/9(F−32)
Answer:
C
Step-by-step explanation:
Belle"s dad lend her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.
Answer:
You never said how much money belle's dad had in the first place there not enough information
Step-by-step explanation:
(10 + 15) - x
Given the function P(x) = x3 + 4x² + kx + 15, for what value of k is
(x+3) a factor of P(x)?
The value of k is 8
x + 3 is a factor of P(x) using the factor theorem if P(-3) = 0.
Since P(x) = x³ + 4x² + kx + 15
P(-3) = (-3)³ + 4(-3)² + k(-3) + 15
P(-3) = -27 + 4(9) - 3k + 15
P(-3) = -27 + 36 - 3k + 15
Collecting like terms
P(-3) = 24 - 3k
Since P(-3) = 0, since x + 3 is a factor, we have that
24 - 3k = 0
Adding 3k to both sides, we have
3k = 24
Dividing both sides by 3
k = 24/3
k = 8
So, the value of k is 8
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x²-6x+13=0
X^2+x+2=0
Answer:x
3 + 2 i , 3 − 2 i (The first one)
X=√−x−2X=−√−x−2(The second one)
Step-by-step explanation:
Jeene and her friends were selling cookies. They sold four more boxes second week in the than they did the first week . On the third week they doubbled the sale of their second week. Although they sold a total of 352 boxes how many boxes that they sell in the third week?
Answer:
i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
Answer:
Step-by-step explanation:i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
How do you write an exponential growth equation to model a situation?
Answer:
i will take risk and do it an any situation to growth equation
please help me :(((((((((((((((((((9
Determine the product of the binomial −x−5 and the trinomial −2x2+3x+1. To earn full credit, show your work using a method explained in the Orientation.
\(( - x - 5)( - 2 {x}^{2} + 3x + 1) \\ = 2 {x}^{3} - 3 {x}^{2} - x + 10 {x}^{2} - 15x - 5 \\ = 2 {x}^{3} + 7 {x}^{2} - 16x - 5 \\ \)
I hope I helped you^_^
3 Tell whether each statement is True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.
b. Three 50° angles compose an angle
that measures 350⁰.
c. A 15° angle and a 60° angle compose
an angle that measures 75°.
d. Four 50° angles can be composed
into a 200° angle.
True False
True
True
True
4 Look at the drawing of a hand fan at the right. The
False
False
Fal
d. True. The sum of four 50° angles is 200°, so they can compose a 200° angle.
what is a geometric sequence?
A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed constant called the common ratio. The common ratio is denoted by the letter r.
The general formula for a geometric sequence is:a₁, a₁r, a₁r², a₁r³, ...
a. False. The sum of a 20° angle and a 70° angle is 90°, so they can compose a 90° angle.
b. False. The sum of three 50° angles is 150°, so they cannot compose an angle that measures 350⁰.
c. False. The sum of a 15° angle and a 60° angle is 75°, so they can compose an angle that measures 75°.
Therefore, d. True. The sum of four 50° angles is 200°, so they can compose a 200° angle.
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In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
what is 8% of 40 as a decimal
Answer:
The answer is 3.2
Step-by-step explanation:
8 x 40________100 = 3.2Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags
Answer:
$7.50
Step-by-step explanation:
the question can be represented with:
12.5/5 and x/3
12.5/5 is 2.5, so that means each bag of dog food is $2.5
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.
Answer:
Step-by-step explanation:
Remark
I take it you mean 5 and not 0.5.
If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.
Formula
Number of bags/Cost = new number of bags/Cost of the new number
Givens
original Number of bags = 5
Cost = 12.50
New number of bags = 3 bags
Cost = x
Solution
5/12.50 = 3/x Cross Multiply
5x = 12.50 * 3 Combine the right
5x = 37.5 Divide by 5
5x/5 = 37.5/5
x = 7.5
Answer: 3 bags cost 7.50 dollars.
how do I find the area of the non-shaded figure?!?
Answer:
51 cm²
Step-by-step explanation:
rectangle = 6x12=72
triangle = 1/2(7)(6)=21
Non-shaded=72-21=51 cm²
Answer:
Answer:
51 cm²
Step-by-step explanation:
Rectangle = 6x12=72
triangle = 1/2(7)(6)=21
Non-shaded=72-21=51 cm²
Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region
Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.
currently Samsung ships 21.9% of the organic light-emitting diode (OLED) displays in the world. Let S be the event that a randomly selected OLED display made by samsung.
Find P(S).
(Round your answer to 3 decimal places.)
Find P(S’)
(Round your answer to 3 decimal places.)
Find odds in the favor of event S.
(Round your answer to 3 decimal places.)
Find odds against event S.
(Round your answer to 2 decimal places.)
Answer:
Step-by-step explanation:
Find P(S): P(A) + P(A')= 1
A and A' together comprise the sample space, their probabilities sum 1
(Turn 21.9% into a decimal) P(S)= 0.219
Find P(S'): P(A')= 1-P(A)
The probability of the compliment of A is found by subtracting P(A) from 1.
1 -0.219= 0.781; P(S')= 0.781
Find odds in the favor of events S.
(Round 3 decimal places.)
P(A) / 1- P(A)
.219 /.781= .280
Find odds against event S.
(Round your answer to 2 decimal places)
1- P(A) / P(A)
0.781 / .219= 3.566 ROUNDED 3.57
Using probability concepts, it is found that:
P(S) = 0.219.P(S') = 0.781.The odds in favor of event S are 0.281.The odds against event S are 3.57.21.9% of the organic light-emitting diode (OLED) displays in the world are made by Samsung, hence:
P(S) is the probability of a chip being made by Samsung, hence P(S) = 0.219.P(S') is the probability of a chip not being made by Samsung, hence P(S') = 1 - 0.219 = 0.781.The odds in favor of an event with probability p is given by:
\(\frac{p}{1 - p}\)
Hence, the odds in favor of event S are:
\(\frac{0.219}{0.781} = 0.28\)
The odds against event S are:
\(\frac{0.781}{0.219} = 3.57\)
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PLEASE HELP AS SOON AS POSSIBLE
Answer:
B
Step-by-step explanation:
Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.
Jake left the gym at 6:22 he exercised for 45 mins. What time did he arrive
A customer's entire breakfast bill is $8. If the customer pays the server for the entire bill plus a 25% tip, what is total amount the customer pays?
A. $6
B. $10
C. $20
D. $32
Answer:
10
Step-by-step explanation:
Logan and Angis paint kitchens in the elderly community. Logan can paint an average kitchen in 5 hours. Angis can do the same in 7 hours. How long will it take if they were to work together? Work shown pls.
Answer:
\(\huge\boxed{\text{2 hours, 54 minutes, and 58 seconds}}\)
Step-by-step explanation:
Logan can complete 1/5 of the job each hour, and Angis can complete 1/7 of the job each hour. Thus, together, they complete 12/35 of the job per hour: (1/5 + 1/7 = 7/35 + 5/35 = 12/35).
In one hour they complete 12/35 of the job, so:
1 hour * 35 = 12/35 jobs
35 hours = 12 jobs
35 hours / 12 = 1 job
2.916 hours = 1 job
.916 hours = 54.96 minutes
.96 minutes = 57.6 seconds ≈ 58 seconds
Hope it helps :) and let me know if you want me to elaborate.
5 boys share £3.50. How much do they get each?
Answer:
0.70
Step-by-step explanation:
i cant type the pound symbol, I'm from the US...
Answer:
$1.43
5 Divided by 3.50 = 1.42857142857
When We Talk About Money We Round To The Nearest Hundredth And That Would Be Here 1.42857142857
^
So 8 is 5 or more so we round the 2 up to a 3
and thats your answer! :) Hope It Helps
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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Point A is at (-6,8) and point B is at (6, -7).
What is the midpoint of line segment AB?
Please help me figure this out
Answer:3⁴ and 81¹
Step-by-step explanation:
3⁹= 19683
3⁴= 81
-9²= -81
9⁹= 387,420,489
81¹= 81
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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