Answer:
y=34, x=17 root 3
Step-by-step explanation:
30 60 90 triangle.
Shortest side is x, hypotenuse is 2x, bottom length is x root 3
Answer:
Using the Leg Opposite to 30° Theorem we derive that y = 34 and from the Pythagorean Theorem, x = 17√3.
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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A Pizza shop offers 3 different pizza sizes with 5 different toppings, James wants to buy 2 different pizzas. How many possible pizzas can James order?
The number of possible pizzas James can order is 15
How to determine how many possible pizzas can James order?The given parameters are
Pizza size = 3
Toppings = 5
From the question, we understand that:
James wants to buy 2 different pizzas.
The number of possible pizzas James can order is calculated as
Order = Pizza size x Toppings
So, we have
Order = 3 * 5
Evaluate
Order = 15
Hence, the number of possible pizzas James can order is 15
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SOMEONE HEELLPPPP PLEASEEEEEEEEE !!!!!!
Answer:
The second answer, 7y - 4x =12 would make the system have no solution.
A movie theater charges $9.00 for adults and $7.00 for senior citizens. One a day when 325 people
paid an admission, the total receipts were $2495. How many who paid were adults? How many were
seniors? (please show your work)
Answer:
325 x 7.00 = 2275.
2495 - 2275 = 220.
True or False?
The graphs of x√ and 3x√ have the same x and y intercepts.
True
True
False
Answer:
without a value under the square root there are no I tercepts because you can't graph xsqrt
Maria solved the equation 34=x+19. Although her final answer was correct, she could have found it in a simpler way. Which sentence best explains why?
A: 19 should be added to the left side and 34 added to the right side.
B: 34 should be subtracted from both sides.
C: The variable must be moved to the left side of the equation.
D: 19 should have been subtracted from, not added to, both sides of the equation.
Answer:
D: 19 should have been subtracted from, not added to, both sides of the equation.
Step-by-step explanation:
Because if we subtract 19 from both sides, we directly get the value of x.
Equation:-
x + 19 = 34
Subtracting 19 from both sides,
=> x + 19 - 19 = 34 - 19
=> x = 15
Ill give u brainlist help me solve this
Answer:
false
Step-by-step explanation:
Divide f(x) = x^3 - x^2 - 2x + 8 by (x-1) then find f(1)
Division of f(x) = x³ - x² - 2x + 8 by (x-1) will have a quotient of x² - 2 and a remainder of 6.
What is the remainder theoremThe remainder theorem states that if f(x) is divides by x - a, the remainder is f(a).
We shall divide the f(x) = x³ - x² - 2x + 8 by x - 1 as follows;
x³ divided by x equals x²
x - 1 multiplied by x² equals x³ - x²
subtract x³ - x² from x³ - x² - 2x + 8 will result to -2x + 8.
-2x² divided by x equals -2
x - 1 multiplied by -2 equals -2x + 2
subtract -2x + 2 from -2x + 8 will result to a remainder of 6, and a quotient of x² - 2.
f(1) = (1)³ - (1)² - 2(1) + 8
f(1) = 1 - 1 - 2 + 8
f(1) = 6
Therefore, f(1) is a remainder of as x - 1 divides f(x) = x³ - x² - 2x + 8 resulting to a quotient of x² - 2 and a remainder of 6
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from the top of a building, a man observes a car moving toward him. as the car moves 100 ft closer, the angle of depression changes from 15 to 33 o o . find the height of the building.
When a man on top of a building sees a car approaching him and as the car moves 100 ft closer, the angle of depression changes from 15 to 33 degrees, the height of the building is 159.8 feet.
To solve the problem, we can use the tangent function. Let x be the distance between the man and the building, then we have:
tan(15) = h / x ...........(1) and tan(33) = h / (x - 100) ...........(2)
Dividing (2) by (1), we get:
tan(33) / tan(15) = (x - 100) / x
Simplifying the expression, we have:
(x - 100) / x = 2.22
Solving for x, we get:
x = 100 / 1.22 ≈ 81.97
Using equation (1), we can solve for the height of the building:
h = x * tan(15)
h ≈ 159.8
Therefore, the height of the building is approximately 159.8 feet.
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A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy
Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
\(\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}\)
Put \(x_1=4,\ y_1=7,\ y_2=35, x_2=x\)
\(\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20\)
Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.
consider the joint pdf of two random variable x, y given by f x,y (x,y) = c, where 0 < x < a where a =3.37, and 0 < y < 8.15. find fx (a/2)
The PDF of of two random variable at x = a/2 is 4.851.
How to find the marginal PDF of X?To find the marginal PDF of X, we integrate the joint PDF with respect to Y over the range of possible values of Y:
\(f_X(x)\)= ∫ f(x,y) dy from y=0 to y=8.15
= ∫ c dy from y=0 to y=8.15
= c * (8.15 - 0)
= 8.15c
Since the total area under the joint PDF must be equal to 1, we know that:
∫∫ f(x,y) dxdy = 1
We can use this to find the constant c:
∫∫ f(x,y) dxdy = ∫∫ c dxdy
= c * ∫∫ dxdy
= c * (a-0) * (8.15-0)
= c * a * 8.15
= 1
Therefore,
c = 1 / (a * 8.15)
Substituting this into our expression for \(f_X(x)\), we get:
\(f_X(x)\) = 8.15 / a
So, for x = a/2, we have:
\(f_X(a/2)\) = 8.15 / (a/2)
= 16.3 / a
= 4.851
Therefore, the PDF of X at x = a/2 is 4.851.
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A student is given the equation 6(x+2)=3(4+2x). Which statement is true?
6(x+2)simplifies to 6x+ 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has no solution.
6(x+2) simplifies to 6x + 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has one solution.
6(x+2) simplifies to 6x + 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.
6(x + 2)simplifies to 6x+ 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has no solution.
((will give brainliest,to best answer))
Answer:
6 ( x + 2 ) simplifies to 6x + 12 and 3 ( 4 + 2x )simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.
Step-by-step explanation:
As both sides are equal, any value substituted will be the same.
») b. The area of the parallelogram is 65 ft2. What is its height? mm th 13 ft 13
Answer:
Five feet
Step-by-step explanation:
H = A ÷ L
H = 65 ÷ 13
H = 5 ft
Bob and Marquis went on a trip. The first day, they drove 465 miles in 8 hours. What is their average speed for the first day of their trip?
8 more than s stripes
Answer:
s could mean 0 or 1 I'm not sure
Railway Cabooses just paid its annual dividend of $2.50 per share. The company has been reducing the dividends by 11.7 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 13 percent?
Based on the information provided, Railway Cabooses paid an annual dividend of $2.50 per share. However, the company has been reducing its dividends by 11.7 percent each year.
To calculate the current annual dividend, we can use the formula: current dividend = previous dividend * (1 - dividend reduction rate).
So, the current annual dividend would be $2.50 * (1 - 0.117) = $2.21 per share. To determine how much you should pay to purchase stock in this company, we need to use the dividend discount model.
The formula for this model is stock price = annual dividend / (required rate of return - dividend growth rate).
Plugging in the values from the problem, we get:
Stock price = $2.21 / (0.13 - 0.117) = $34.15 per share.
Therefore, if your required rate of return is 13 percent, you should be willing to pay $34.15 per share to purchase stock in Railway Cabooses.
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Find the value of the power.
93 =
Hey there!
Assuming you meant:
9^3
IF SO, LETS SOLVE FOR IT!
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer is most likely:
[729] So, the base number is probably 5 and the exponent is probably 3
Random note:
Your base number is always that number that will be repeated by what the exponent is telling it!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find the image of P (4,-2) under the transformation r y=x
Answer:
(-2,4)
Step-by-step explanation:
When reflecting a point across y=x, the x-coordinate and y-coordinate switch places.
anything helps this is the last one
Answer:
i am pretty sure it's a.
Step-by-step explanation:
i hope this helps :)
Answer:
it's -2sqrt7
the first answer
Step-by-step explanation:
pls mark me brainliest!
exercise 6.37. which of the following pairs of groups are isomorphic? why or why not? (a) z2 ×z2 and z4, (b) z ∗ 12 and z ∗ 8 , (c) z ∗ 5 and z4, (d) z2 ×z and z, (e) q and z, (f) z × z and z.
Let's analyze each pair of groups to determine if they are isomorphic:
(a) Z2 × Z2 and Z4:
These groups are isomorphic because they both have the same number of elements, which is 4.
(b) Z12 and Z8:
These groups are not isomorphic because they have different numbers of elements. Z12 has φ(12) = 4 elements (where φ is the Euler's totient function), while Z8 has φ(8) = 4 elements.
(c) Z*5 and Z4:
These groups are isomorphic because they both have the same number of elements, which is 4.
(d) Z2 × Z and Z:
These groups are not isomorphic because they have different numbers of elements. Z2 × Z has an infinite number of elements, while Z has a countably infinite number of elements.
(e) Q and Z:
These groups are not isomorphic because they have different structures. Q, the group of rational numbers under addition, is a non-cyclic group with infinitely many elements, while Z, the group of integers under addition, is a cyclic group with a countably infinite number of elements.
(f) Z × Z and Z:
These groups are not isomorphic because they have different structures. Z × Z is a non-cyclic group with a countably infinite number of elements, while Z is a cyclic group with a countably infinite number of elements.
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Graph f(x) = log base 3 x-1
Hello there. To solve this question, we have to remember how to graph a function.
First, remember that the logarithm in any base is an injective function (one-to-one).
We have to find its key-features before graphing it.
These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.
Okay. To find the x-intercept, set the function equal to zero:
\(f(x)=\log_3(x)-1=0\)Adding 1 on both sides, we get
\(\log_3(x)=1\)Apply the property:
\(\log_a(b)=c\Rightarrow b=a^c\)Hence we have
\(x=3^1=3\)So the x-intercept happens at x = 3.
To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:
\(\begin{gathered} \lim_{x\to0^+}\log_3(x)-1=-\infty \\ \\ \lim_{x\to0^-}\log_3(x)=-\infty \end{gathered}\)In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).
Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is
\(x=0\)Therefore it has a vertical asymptote at x = 0.
The graph is then given by:
This is a sketch of the graph of the function.
The final answer to this question is contained in the last option.
ect 0/2 pts Question 12 In a recent health survey, 333 adult respondents reported a history of diabetes out of 3573 respondents. What is the critical value for a 90% confidence interval of the proport
The critical value for the 90% of confidence interval with given number of success and sample size is equal to 1.645.
To determine the critical value for a 90% confidence interval of a proportion,
Use the standard normal distribution (Z-distribution).
The critical value corresponds to the desired confidence level and is used to calculate the margin of error.
Here, the proportion of respondents reporting a history of diabetes is 333 out of 3573.
Calculate the sample proportion,
Sample Proportion (p)
= Number of successes / Total sample size
= 333 / 3573
≈ 0.0932
To calculate the critical value, the z-score that corresponds to a 90% confidence level.
For a one-tailed test with a 90% confidence level,
The critical value is obtained by subtracting the desired confidence level from 1, then dividing by 2,
Critical Value = (1 - Confidence Level) / 2
⇒Critical Value = (1 - 0.90) / 2
= 0.05 / 2
= 0.025
To find the z-score corresponding to a cumulative probability of 0.025 in the standard normal distribution,
Use a standard normal distribution calculator.
The critical value for a 90% confidence level is approximately 1.645.
Therefore, the critical value for a 90% confidence interval of the proportion is 1.645.
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Determine whether the geometric series is convergent or divergent. sigma^[infinity]_n = 0 (1/√3)^n - Convergent
- Divergent
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
The given geometric series is convergent. We can see that the common ratio (r) is 1/√3, which has an absolute value less than 1. So, the sum of this convergent geometric series is √3 / (√3 - 1).
The geometric series in question is given by the formula:
Σ (1/√3)^n from n=0 to infinity.
To determine if this geometric series is convergent or divergent, we need to examine the common ratio, which is 1/√3. The geometric series converges if the absolute value of the common ratio is less than 1, i.e., |r| < 1, and diverges otherwise.
In this case, the common ratio r is 1/√3, and its absolute value is also 1/√3 since it's already positive. Since 0 < 1/√3 < 1, the series is convergent.
To find the sum of this convergent geometric series, we can use the formula:
Sum = a / (1 - r),
where a is the first term of the series and r is the common ratio. For this series, a = (1/√3)^0 = 1, and r = 1/√3.
Sum = 1 / (1 - 1/√3) = 1 / ( (√3 - 1) / √3 ) = √3 / (√3 - 1).
So, the sum of this convergent geometric series is √3 / (√3 - 1).
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How do you solve angle addition postulate problems?
Answer:
Segment Addition Postulate
The segment addition postulate in geometry is applicable on a line segment containing three collinear points. The segment addition postulate states that if there are two given points on a line segment A and C, then point B lies on the same line segment somewhere between A and C only if the sum of AB and BC is equal to AC.
Segment Addition Postulate Definition
The segment addition postulate states that if a line segment has two endpoints, A and C, a third point B lies somewhere on the line segment AC if and only if this equation AB + BC = AC is satisfied. Look at the image given below to have a better understanding of this postulate.
Two years ago Randi earned $18,400. Last year she earned $19,700. Suppose she earns $21.600 this year. What will be her average earnings per year?
Define a variable for the unknown quantity below.
"the number of players on a football team who also have a job"
Step-by-step explanation:
Gladys blister is luggage
Solve the inequality x + 2 ≥ 8
Answer:
the answer is x ≥ 6
Step-by-step explanation:
x ≥ 8 - 2
x ≥ 6
Which of the following is the graph of y = sine (4 (x minus pi))?
Answer:
Below is an array showing the x values, and phase shifts that occur in the graph of the equation.
\(~~~~~x~~~~f(x)\\\\\left[\begin{array}{cc}\pi &0 &\frac{9\pi }{8} &1\\\frac{5\pi }{4} &0&\frac{11\pi }{8} &-1&\frac{3\pi }{2}&0 \end{array}\right]\)
Answer:
Graph A
Step-by-step explanation:
Got 100% on edge
Damian invested $12,000 in an account paying an interest rate of 5 % compounded
daily. Lillian invested $12,000 in an account paying an interest rate of 5%
compounded annually. After 12 years, how much more money would Damian have in
his account than Lillian, to the nearest dollar?
Answer:
$38
Step-by-step explanation:
Answer:
vhggk
Step-by-step explanation:
fhtkhli,jbm cxchjklm,n
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
A: 6
B: 16
C: 2
D: -12
Step-by-step explanation:
They are asking you to multiply the equations:
(3x^2 + 2x - 3)(2x + 4)
Distribute and you should get:
6x^3 + 16x^2 + 2x - 12
The Coefficients A,B,C, and D are 6, 16, 2, and -12.