Answer:
This is a function.
Step-by-step explanation:
To be a function every x must have only one y as its partner. In this format (two ovals with numbers in them and arrows showing the pairs) If EVERY x has only ONE arrow pointing away from it, then it is a function. If any x has MORE THAN ONE arrow pointing away from it, at two different y-numbers, then it is NOT a function.
IXL math problem please help
find sin 75 without using a calculator
The value of sin 75 without using a calculator is 1/4(√2 +√6)
Finding sin 75 without using a calculatorFrom the question, we have the following parameters that can be used in our computation:
sin(75)
This can be expanded as
sin(75) = sin(45 + 30)
Using the sine rule, we have
sin(75) = sin(45)sin(30) + cos(45)cos(30)
Evaluate the trigonometry ratios
So, we have
sin(75) = √2/2 * 1/2 + √2/2 * √3/2
So, we have
sin(75) = √2/4 + √6/4
Evaluate the sum
sin(75) = 1/4(√2 +√6)
Hence, the value is sin(75) = 1/4(√2 +√6)
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A coded message from a CIA operative to his Russian KGB counterpart is to be sent in the form Q4ET, where the first and last entries must be consonants; the second, an integer 1 through 9; and the third, one of the six vowels. How many different ciphers can be transmitted?
Answer:
21,600
Step-by-step explanation:
If in the coding system being used there are 6 vowels (A, E, I , O, U and Y)
Number of Consonants =26-6 =20
First entry must be a consonant, therefore the first entry can be chosen in 20 ways.The second entry must be an integer 1 through 9, therefore the second entry can be chosen in 9 ways.The third entry must be one of the six vowels, therefore the third entry can be chosen in 6 ways.The last entry must be a consonant, therefore the last entry can be chosen in 20 ways.Therefore:
Number of different possible ciphers =20*9*6*20
=21600
Student Council has 1,064 flowers. They want to divide the flowers evenly among 28 centerpieces. How many flowers will be in each centerpiece?
To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:
Total number of flowers: 1,064
Number of centerpieces: 28
Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces
Number of flowers in each centerpiece = 1,064 / 28 = 38
Therefore, there will be 38 flowers in each centerpiece.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: 38
Step-by-step explanation:
The question is asking you to divided.
1064 divided by 28 = 38
So there will be 38 flowers in each centerpiece
An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?
It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.
We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.
Let's substitute the given values into the formula and solve for t:
56,398.43 = 500(1 + 0.06/2)^(2t)
Divide both sides by 500:
112.79686 = (1 + 0.03)^(2t)
Take the natural logarithm of both sides to eliminate the exponent:
ln(112.79686) = ln(1.03)^(2t)
Using the property of logarithms, we can bring down the exponent:
ln(112.79686) = 2t * ln(1.03)
Now, divide both sides by 2 * ln(1.03):
t = ln(112.79686) / (2 * ln(1.03))
Using a calculator, we find t ≈ 17.12.
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−0.22+�−0.33−0.22x+x−0.33x?
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
2/9×45 what is the answer please
Answer: 10
Step-by-step explanation:
2*45=90
90/9=10
Answer:
10
Step-by-step explanation:
All you have to do is type the equation into a calculator and it will give you the answer.
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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The vertices of a triangle are L(0,1), M(1, - 2), and N(-2,1). Draw the figure and its image after the translation (x + 2 y + 3) Polygon
Given :
The vertices of a triangle are L(0,1), M(1, - 2), and N(-2,1)
Given the translation rule : (x + 2 , y + 3)
So, the image of the triangle will be L'M'N'
The coordinates of the image triangle will be :
\(\begin{gathered} L^{\prime}=(0+2,1+3)=(2,4) \\ M^{\prime}=(1+2,-2+3)=(3,1) \\ N^{\prime}=(-2+2,1+3)=(0,4) \end{gathered}\)The graph of the triangle and its image will be as shown in the following picture:
What is the volume of the cone?
The calculated value of tyhe volume of the cone is 235.71 cubic feet
What is the volume of the cone?From the question, we have the following parameters that can be used in our computation:
Height = 9 feet
Radius = 5 feet
Using the above as a guide, we have the following:
Volume = 1/3πr²h
Substitute the known values in the above equation, so, we have the following representation
Volume = 1/3 * 22/7 * 5² * 9
Evaluate
Volume = 235.71
HEnce, the volume is 235.71
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Answer:
235.6 ft³
Step-by-step explanation:
You want the volume of a cone with radius 5 ft and height 9 ft.
FormulaThe formula for the volume of a cone is given:
V = 1/3πr²h
The values of the variables are given: r = 5, h = 9.
Put these values in the corresponding places in the formula and do the arithmetic.
V = 1/3π(5 ft)²(9 ft) ≈ 235.6 ft³
The volume of the cone is about 235.6 cubic feet.
Find the 8th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7Convert the angle 0=100 degrees to radians. What’s the exact answer??
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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C The triangles in this picture are similar. Find the height of the tree.
Answer:
Please find attached pdf
Step-by-step explanation:
Bryan drew a triangle with vertices at (4,1), (1, 3), and (2,-3). He slides the triangle 3 units to the left to create an image. What are the vertices of the image?
The surface area of a rectangular prism is 178 in.2
What is the height of the figure if its length is 3 in. and its width is
4 in.? Explain how you got your answer.
Answer:
The height of the figure is 12 in
Step-by-step explanation:
Which number line best shows the position of 17?
0
十
J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4
十
7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4
Answer:
C
Step-by-step explanation:
The square root should be about half of that number so half of 7 is 3.5.
Solve for x.
188 – 12
16x + 8
x =
= [?]
Enter
No links will report
Answer:
10
Step-by-step explanation:
Angles 8x - 12 and 6x + 8 are adjacent angles.
Adjacent angles are equal.
8x - 12 = 6x + 8
8x - 6x = 8 + 12
2x = 20
x = 20 / 2
x = 10
Answer:
8x-12=6x+8
[corresponding angle]
8x-6x=12+8.
x=20/2
x=10
Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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Find X:
X + 25% x X = -1,25
Answer:
- 100
Step-by-step explanation:
OK open
The Pdf and look at the working
3 Find the area of the figure
below.
r = 4 in
Based on the information we can infer that the area of the image is: 50.24 in²
How to find the area of the figure?To find the area of the figure we must take into account that this figure is a circle. To find the area of this figure we must use the following mathematical formula:
A = πr²
Then we must replace the values and find the result, the formula would look like this:
A = π4²
A=3.14*4²
A=3.14*16
A = 50.24in
According to the above, the area of the circle would be 50.24 in. Additionally, we learned the formula for circle area.
Note: This question is incomplete; here is the missing information:
Find the area of the figure below.
r = 4 in
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DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Multiply. −1 2/3 x (−5 1/4)
5 1/6
-8 3/4
−5 1/6
8 3/4
8.75
Step-by-step explanation:-1 2/3 × (-5 1/4)
=35/4
= 8 3/4
= 8.75
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Use the models of f(x) and g(x) to compare the two functions.Which comparison is correct?f(-3) > g(-3)f(-3) = g(-3)f(-3) < g(-3)
First find f(-3)
we know that -3 is less than 0 so we use 5x+4
f(-3) = 5(-3) +4 = -15+4 = -11
We compare it to
g(-3) = -1
-11 < -1
so
f(-3) < g(-3)
I can't figure this out, would appreciate help.
\(\huge\mathsf\blue{Answer}:-\)
hey mate,
Option c is correct , because
\( \sqrt{2} + \sqrt{2} = \sqrt{4} \\ \sqrt{2 \times 2} = 2\)
2 is rational number
plz mark me as brainliestAnswer:
8.
Step-by-step explanation:
If the given rational number is 2 , we add 8:
2 + 8 = 10
10 is rational.
SHOW ALL WORK PLEASE! A right cylinder has a radius of 7 cm and a height of 3 cm.
Answer the following questions and make sure to show all your work.
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 14 cm, while the height remains 3 cm.
-OR
2. Tripling the height to 9 cm, while the radius remains 7 cm.
Answer:
(a) Surface Area = 140 π cm² = 438.823 cm²
(b) Volume = 147 π cm³ = 461.814 cm³
(c) Doubling the radius, keeping height constant results in more volume
Step-by-step explanation:
Volume of a cylinder with base radius r and height h is given by
V = π r² h
Surface Area A = 2 π r(h + r)
Given r = 7 cm, height = 3cm
(a) Surface Are = 2 x π x 7(7 + 3) = 14 π (10) = 140 π cm² =438.823 cm²
(b) Volume = π x 7² x 3 = 147 π = 461.814 cm³
(c) If we double the radius to 14 cm with height at 3 cm (Option 1), the volume would quadruple to 4 because the new radius is twice the old radius and since volume is proportional to square of radius, new volume will be (2r)² = 4r² where r is the old radius
So new volume = 4 x 461.814 = 1,847.256 cm³
If we triple the height to 9 cm, keeping radius at 7, the volume would only triple since it is directly proportional to height
So new volume = 3 x 461.814 = 1,385.442 cm³
So to get more volume, idea 1, doubling the radius works