Answer:
9.4 in
Step-by-step explanation:
sin A = O/H
sin 19° = x/29
x = 29sin19°
x = 9.441 in
x = 9.4 in
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
What does the expression l.w represent
Answer:
length x width
Step-by-step explanation:
Answer:
Length times width
Usually, it is used as (length times width times height).
pesky children keep playing in Maya's yard. She wants to put a fence around her yard to keep those rebel rousers out. Her front lawn is 50 ft wide and 20 ft deep. She only wants to fence two sides and front, since the 4th side is her house. How many feet deep of fencing does she need?
Answer:
90
Step-by-step explanation:
50+20+20=90
pls vote me brainliest i need the points.
Evaluate the following function: p(x) = 2(3)*-1 when p(2)
A.2/3
B. 2
C. 2/9
D. 6
Consider the following information about passengers on a cruise ship on vacation: 41% check work e-mail, 29% use a cell phone to stay connected to work, 26% bring a laptop with them on vacation, 22% both check work e-mail and use a cell phone to stay connected, and 50% neither check work e-mail nor use a cell phone to stay connected nor bring a laptop. In addition 87% of those who bring a laptop also check work e-mail and 71% of those who use a cell phone to stay connected also bring a laptop. With
E = event that a traveler on vacation checks work e-mail
C = event that a traveler on vacation uses a cell phone to stay connected
L = event that a traveler on vacation brought a laptop use the given information to determine the following probabilities.
a. P(E) =
b. P(C) =
c. P(L) =
d. P(E and C) =
a. P(E) = 0.41.
b. P(C) = 0.29.
c. P(L) = 0.26.
d. P(E and C) = 0.22.
To determine the probabilities, we can use the given information about the percentages of passengers who check work e-mail, use a cell phone, and bring a laptop on vacation.
a. P(E) represents the probability that a traveler on vacation checks work e-mail. According to the information provided, 41% of the passengers check work e-mail. Therefore, P(E) = 0.41.
b. P(C) represents the probability that a traveler on vacation uses a cell phone to stay connected. The information states that 29% of the passengers use a cell phone. Therefore, P(C) = 0.29.
c. P(L) represents the probability that a traveler on vacation brought a laptop. The given information indicates that 26% of the passengers bring a laptop. Therefore, P(L) = 0.26.
d. P(E and C) represents the probability that a traveler on vacation both checks work e-mail and uses a cell phone to stay connected. From the information provided, it is stated that 22% of the passengers fall into this category. Therefore, P(E and C) = 0.22.
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Please help i have so much other work to do
Will give brainliest for full answer
10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest 10th
Answer:
40.9 ft.
Step-by-step explanation:
We know all the side lengths needed:
8 + (10*2) + 8.9 +4 = 40.9
So then you just add them!
Divide and express the result in standard form. 3) 2-4i /5-7i
To divide the complex numbers (2 - 4i) by (5 - 7i), we can use the concept of multiplying by the conjugate of the denominator to simplify the expression.
The conjugate of the denominator (5 - 7i) is (5 + 7i). To simplify the division, we multiply both the numerator and denominator by the conjugate:
[(2 - 4i) * (5 + 7i)] / [(5 - 7i) * (5 + 7i)]
Expanding the numerator and denominator, we get:
[(10 + 14i - 20i - 28i^2)] / [(25 - 49i^2)]
Simplifying further, we have:
[(10 - 6i - 28i^2)] / [(25 + 49)]
Since i^2 is equal to -1, we can substitute -1 for i^2:
[(10 - 6i - 28(-1))] / [25 + 49]
Simplifying the expression, we get:
[(10 - 6i + 28)] / [74]
Combining like terms, we have:
(38 - 6i) / 74
Now, we can simplify the expression by dividing both the real and imaginary parts by 2:
38/74 - (6/74)i
In standard form, the result is:
19/37 - (3/37)i
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Pilar needs $2500 three years from now.
How much should she deposit at the end
of each quarter at 4% per year
compounded quarterly to obtain the
required amount?
Pilar needs to deposit $2841.68 at the end of each quarter at 4% per year compounded quarterly to obtain the required amount of $2500 in three years.
Calculate the Future Value of the Deposit
To calculate the amount Pilar needs to deposit each quarter, we will first need to calculate the future value of the deposit. The future value is the amount of money she will have at the end of the three years, which is $2500.
We can use the formula FV = PV × (1 + i)ⁿ, where FV is the future value, PV is the present value (in this case, the amount she is depositing each quarter), i is the interest rate (4% per year compounded quarterly), and n is the number of quarters (12 quarters in three years).
FV = 2500
2500 = PV × (1 + 0.04/4)¹²
Calculate the Present Value
To calculate the present value, we will need to rearrange the equation to solve for PV.
PV = 2500 / (1 + 0.04/4)¹²
PV = $236.84
Calculate the Total Amount to be Deposited
Finally, we can calculate the total amount Pilar needs to deposit each quarter by multiplying the present value by the number of quarters.
Total Amount = PV × n
Total Amount = 236.84 × 12
Total Amount = $2841.68
Pilar must therefore deposit $2841.68 at the end of each quarter at a rate of 4% annually compounded quarterly in order to reach the necessary $2500 in three years.
Complete Question:
Pilar needs $2500 three years from now. How much should she deposit at the end of each quarter at 4% per year compounded quarterly to obtain the required amount?
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Quick i need help with math problems
Step-by-step explanation:
a). 1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
b). formula for Sn = n×n or n².
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Solve for y.
6x + y = 10
\(6x + y = 10 \\ y = 10 - 6x \\ y = 10 - 6x,x∈ℝ\)
Solved✔︎Answer:
y = 10 - 6x
Step-by-step explanation:
6x + y = 10
=> y = 10 - 6x
A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant’s research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs.
a. Find the expected number of repairs for this freezer per year.
b. Find the standard deviation of the number of repairs per year.
c. What are the mean and standard deviation of the restaurant’s annual expense with the service contract for the freezer?
(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.
What is Standard Deviation?Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.
(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.
E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)
= 0.33
(b) Standard deviation of number of repairs per year can be calculated as,
SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)
= √ (0.5611)
= 0.749
(c) Mean of the restaurant's annual expense with service contract is,
Mean = Expected cost = $125 + ($35 × 0.33) = $136.55
Standard deviation of the restaurant's annual expense with service contract is,
SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217
Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.
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The quotient of 462 and 28 written in decimal notation is.
The quotient of 462 and 28 is 16.5 when written in decimal notation.
To calculate this, you divide 462 by 28:
462 ÷ 28 ≈ 16.5
The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.
Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.
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Haley created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Haley drew?
Answer:
Y=-1/5x + 15
Step-by-step explanation:
Got it right
Answer:
y=- 1/5x + 15
Step-by-step explanation:
Use the number line to plot –3, 1, and 3.
Which statements are true? Select all that apply.
–3 > 1
–3 = 3
1 < 3
–3 < 1
Answer:
Options 3 and 4 are correct
Step-by-step explanation:
-3>1 is false bc a positive is always greater than a negative
-3=3 is false because a positive is not equal to a negative
1<3 is correct because 1 is less than 3
-3<1 is correct because a negative is always less than a positive.
Answer:
1 < 3
–3 < 1
Step-by-step explanation:
Maya reads 45 chapters of a book in 9 hours. What is her rate in chapters per hour?
Condense
2loga(4)+3loga(X-4)loga(4)
Log(x+3)+log(x-3)
Answers should be log a x^3/16 and log (x^2-9)
SHOW WORK
URGENT
The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)
Log(x+3)+log(x-3) is given below.
To condense the expressions, we can apply the properties of logarithms. Here are the condensed forms of the given expressions.
2loga (4) + 3loga(X - 4) - loga 4 )
By using the product and quotient rules of logarithms, we can simplify this expression as follows
2 loga( 4) + 3 loga( X-4) - log a(4)
= loga(4 ²) + loga((X-4)³) - loga (4) = loga (16 ) + loga((X-4)³) - loga (4)
Combining the logarithms using the power rule and quotient rule we have
= loga(16(X-4)³/4)
log(x+3) + log (x-3)
By using the product rule of logarithms, we can combine these logarithms
log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))
Simplifying further, we get
= log (x² - 9 )
So this means that the condensed forms of the given expressions are
2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)
log (x+ 3) + log(x- 3) = log(x² - 9)
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Amelia is saving up to buy a new $105 iPad pen. Her best friend gave her $12 and she saves $20 per week from her babysitting job. How many weeks will she have to save money in order to buy the iPad? Write an inequality to solve.
EXPLANATION
Let's see the facts:
Ipad pen cost = -$105
Best friend ----> +$12
---------------
-$93
Babysitting Saves +$20/week
We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:
$93 = 20 $/week * number of weeks
Calling x to the number of weeks and turning this into an inequality:
12 + 20x ≥ 105
Subtracting -12 to both sides:
20x ≥ 105-12
Simplifying:
20x ≥ 93
Dividing both sides by 20:
x ≥ 93/20
Simplifying:
x ≥ 4.65
Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.
i need help with this i dont know how to do it...
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
\(\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}\)
\(\mathbb{MIREU} \)
#2 Which equation is the correct slope intercept form equation for the
table below?
X
Y
3
5
y=2x-11
y= 2x + 11
y= 11x-2
y=-2x +11
6
-1
q
-7
12
- 13
9 points
Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0
Answer:
y= 1/4 x-62+1
Step-by-step explanation:
miniville is an isolated town located on the southern shore of lake condescending, a very large lake. the western edge of miniville is adjacent to impassable mountains and there are no towns or businesses for many miles to the east. the 300 residents of miniville are evenly distributed along 3 miles of shoreline on the lake, east of the mountains. lake shore drive, the only street in town, provides access to miniville's homes and businesses. all residents live between the lake and the street; businesses locate on the other side of the street. lake shore drive is 3 miles long, and the points labeled a, b, and c are 1, 2, and 3 miles from the western end of lake shore drive, respectively. all residents of miniville shop at the store located closest to their homes. the mountains are located on the west, lake condescending is to the north of lake shore drive. points a, b and c are to the south of lake shore drive.the mountains are located on the west, lake condescending is to the north of lake shore drive and three points: a, b and c are to the south of lake shore drive. points a, b and c are marked in the west to east direction. if one store is located at a and the other store is located at c
The two stores at points A and C would serve the residents of Miniville, providing them access to essential goods and services, with residents in the middle mile having the flexibility to choose between the two stores.
If one store is located at point A and the other store is located at point C, it means that the stores are located at the extremes of the 3-mile stretch of Lake Shore Drive in Miniville. Point B would be the midpoint between points A and C.
Given that the 300 residents of Miniville are evenly distributed along the 3 miles of shoreline on the lake, it implies that there are approximately 100 residents per mile.
Therefore, the store located at point A would serve the residents living in the westernmost mile of Lake Shore Drive, while the store located at point C would serve the residents living in the easternmost mile of Lake Shore Drive.
The residents living in the middle mile, between points A and C, would have the option to shop at either store, depending on their preference or convenience.
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i need help with this asap pls i will give brainliest !! it’s my last question!!!! Pls
Answer:
D is the correct answer
Step-by-step explanation:
please help, Solve the following system of equations. Show your work.
−2x+5y=−2
4x−10y=4
Solution:
After solving the system of equation we will get
x = 5y/2 +1
y = 2/5- 2x/5
First equation is written
−2x+5y=−2
Subtract 5y from both sides.
−2x =−2−5y
The equation is in standard form.
−2x=−5y−2
Divide both sides by −2.
-2x/-2 = -5y-2/ -2
Dividing by −2 undoes the multiplication by −2.
x= −5y-2/-2
Divide −2−5y by −2.
so
x= 5y/2 + 1
Now the second equation is
4x−10y=4
Add 4x to both sides
-10y = 4-4x
The equation is in standard form.
Divide both sides by 10
-10y/10= 4-4x/10
Dividing by 10 undoes the multiplication by 10.
y= 4-4x/10
Divide 4-4x by 10.
so
y= 2/5- 2x/5
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onsider the following events: A. The burrito is a chicken burrito. B. The burrito is a carne asada burrito. C. The customer requested black beans. D. The customer requested pinto beans. Which two events are independent
Events A and C as well as events B and D are independent.
Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.
In the given events, it is not explicitly mentioned how the events are related. However, based on typical assumptions about burrito ingredients and customer preferences, we can make some assumptions:
Assuming that the choice of meat (chicken or carne asada) and the choice of beans (black beans or pinto beans) are independent of each other, we can conclude that events A (The burrito is a chicken burrito) and C (The customer requested black beans) are independent. The choice of chicken meat in the burrito does not affect the probability of the customer requesting black beans.
Similarly, events B (The burrito is a carne asada burrito) and D (The customer requested pinto beans) are independent. The choice of carne asada meat in the burrito does not affect the probability of the customer requesting pinto beans.
So, based on these assumptions, events A and C as well as events B and D are independent.
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What is the surface area if this sphere?
Answer:
The surface area of the sphere is approximately equal to 379.9 square centimetres.
Step-by-step explanation:
The surface are a of a sphere with respect to radius is 4πr². We're given the diameter, of 11 cm, so we know that the radius is 5.5 cm.
With that we can find the surface area:
\(a = 4\pi r^2\\a = 4\pi (5.5cm)^2\\a = 4\pi \times 30.25cm^2\\a = \pi \times 121cm^2\\a \approx 3.14 \times 121cm^2\\a \approx 379.9cm^2\)
normal six-sided dice have a different number of pips (dots) on each face, from 1 to 6. you roll two such dice and add the result. 1) what is the probability of rolling 10 (rolling 10 and higher than 10)? 2) what is the probability of rolling an odd number? 3) what is the total that is most likely to result?
We can see that 7 is the total that is most likely to result, since it has the highest number of possible ways to roll it (6).
1) To find the probability of rolling a 10, we need to determine how many ways we can roll a 10 and then divide that by the total number of possible outcomes.
To roll a 10, we can get a 4 on one dice and a 6 on the other, or a 5 on one dice and a 5 on the other. So there are 2 ways to roll a 10.
The total number of possible outcomes is 6 x 6 = 36, since each dice has 6 possible outcomes.
Therefore, the probability of rolling a 10 is 2/36, which can be simplified to 1/18.
To find the probability of rolling higher than 10, we need to determine how many ways we can roll a total of 11, 12, or 13, and then divide that by the total number of possible outcomes.
To roll an 11, we can get a 5 on one dice and a 6 on the other, or a 6 on one dice and a 5 on the other. To roll a 12, we can get a 6 on both dice. To roll a 13, we can get a 6 on one dice and a 6 on the other.
So there are 4 ways to roll higher than 10.
Therefore, the probability of rolling higher than 10 is 4/36, which can be simplified to 1/9.
2) To find the probability of rolling an odd number, we need to determine how many ways we can roll an odd number and then divide that by the total number of possible outcomes.
To roll an odd number, we can get a 1, 3, or 5 on one dice and any number on the other dice, or we can get a 2, 4, or 6 on one dice and a 1, 3, or 5 on the other dice.
So there are 18 ways to roll an odd number.
Therefore, the probability of rolling an odd number is 18/36, which can be simplified to 1/2.
3) To find the total that is most likely to result, we need to determine which total has the most possible ways to roll it.
We can create a table to show how many ways we can roll each total:
Total | Number of Ways
2 | 1
3 | 2
4 | 3
5 | 4
6 | 5
7 | 6
8 | 5
9 | 4
10 | 3
11 | 2
12 | 1
From the table, we can see that 7 is the total that is most likely to result, since it has the highest number of possible ways to roll it (6).
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when calculating the process capacity of a specific process, it is important to consider the order in which a stage occurs when determining its stage capacity.true or false
True. When calculating the process capacity of a specific process, it is important to consider the order in which a stage occurs when determining its stage capacity.
This statement is true. Considering the order of stages helps to accurately identify bottlenecks and ensures an efficient process flow. This is because the capacity of a stage can be affected by the preceding stages and the flow of the process. The stage capacity will also determine the overall capacity of the process.
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a child builds towers using identically shaped cubes of different color. how many different towers with a height 8 cubes can the child build with 2 red cubes, 3 blue cubes, and 4 green cubes? (one cube will be left out.) (2019 amc 10a problem 17) (a) 24 (b) 288 (c) 312 (d) 1, 260 (e) 40, 320
The number of different towers with a height of 8 cubes can the child build with 2 red cubes, 3 blue cubes, and 4 green cubes is 312.
To solve this problem, we can use the formula for the number of ways to arrange n objects with k of one type, m of another type, etc. Specifically, the formula of combination is:
(n-1)! / (k! * m! * ...)
In this case, we have 8 cubes total, with 2 red, 3 blue, and 4 green. So applying the formula, we get:
(8-1)! / (2! * 3! * 4!) = 7! / (2! * 3! * 4!)
= (7*6/2) * (5*4*3/6) * (4*3*2*1/24)
= 21 * 20 * 1
= 420
However, we have to remember that we are leaving out one cube. This means that for each tower we counted, there is actually a corresponding tower that is identical except for the color of the cube that was left out. So we need to divide by 3 (since there are 3 choices for which cube to leave out). This gives us:
420 / 3 = 140
So the answer is (c) 312.
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What is the value of the expression below when x=5x=5?
8x+9
The value of the expression below when x=5x=5?
8x+9 is equal to \(7^{2}\) (or) 49.
Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)
The expression,
y = 8x + 9
If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:
So, we can substitute x = 5,
Then, y = 8 * 5 + 9
Calculate the product or quotient,
y = 40 + 9
Calculate the sum or difference,
y = 49
We can write alternative form,
y = \(7^{2}\)
Therefore,
Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.
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