3,7,11,15 is an example of sequence since we can see a pattern is previous and next term.
What are the name of four type of sequences?Arithmetic sequence
Geometric sequence
Harmonic sequence
Fibonnaci numbers.
Is sequence a set?In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
A sequence is a list of elements that has been arranged in a certain way. For instance, the sequence 3, 7, 11, 15,... is a sequence because it follows a pattern where each term is created by adding 4 to the term before it.
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The Excel function =40*RAND() would generate random numbers with standard deviation approximately equal to____.
The Excel function =40*RAND() generates random numbers between 0 and 40.
Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.
The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.
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PLEASE PLEASE PLEASE HELP ME IM STRUGGLING
Answer:
y = -3√(x -1) +2
Step-by-step explanation:
You want the equation of the given square root function with its vertex at (1, 2) and point (2, -1) on the graph.
Square root functionThe parent square root function has its vertex at (0, 0). It extends upward from that vertex, and goes through the point (1, 1).
Transformed functionThe function shown in the graph has its vertex at (1, 2), so has been translated 1 unit to the right and 2 units upward. The function extends downward from the vertex, so has been reflected vertically.
We know a function translated h units right and k units up becomes ...
g(x) = f(x -h) +k
When it is reflected across the x-axis, it also has a multiplier (-a):
g(x) = -a·f(x -h) +k
Scale factorWe can find the value of 'a' by using the given point in the translated function.
g(x) = -a·√(x -1) +2
-1 = -a√(2 -1) +2
-3 = -a√1 = -a
The value of 'a' is 3.
The graph is described by the function ...
y = -3√(x -1) +2
Write a numerical expression Add 8 and 7 and then multiply by 2 ? Guys i need help ASAP please write a numerical expression HELP ME brainlest
Answer:
30
Explanation
Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30
Answer:
the answer will be 30
Step-by-step explanation:
Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30
A spinner has 6 equal sections. There are 3 green sections and 3 yellow sections. The spinner is spun 24 times. Which proportion can be used to find the number of times, G, that the spinner could be expected to land on a green section
Answer:
I think that the answe round be 8 as 24/3 is 24
Answer:
Same I think that the answe round be 8 as 24/3 is 24
Step-by-step explanation:
Y’all I’m begin for help with this math pleasseeee
Answer:
x=0.75 which is simplified
Answer:
x = 1.75
Step-by-step explanation:
3.5(2.25 + x) = 14
Divide both sides by 3.5
2.25 + x = 14/3.5
2.25 + x = 4
Subtract 2.25 from both sides.
x = 4 - 2.25
x = 1.75
-
A bakery takes three types of bread, with the monthly cost being RM 6850
for 2150 loaves of bread. The cost of baking a loof of butterscotch bread
is km 2 a chocolate bread km 3 and a coconut bread Rm 4. The sale prices
of a loaf of butterscotch bread a chocolate bread and a coconut bread
are km 3 , RM 4.50 and km s. so respectively - It the bakery makes a profit
RM 2975 monthly how many loaves of each type of bread will it bake)
Answer:
The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread
Step-by-step explanation:
In order to answer the word problem question, we list the parameters as follows;
The number of bread types the bakery takes = 3 types of bread
The monthly cost of the bakery for baking the bread, C = RM 6,850
The number of bread loaves baked = 2,150
The cost of baking a loaf of butterscotch bread = Rm 2
The cost of baking a loaf of chocolate bread = Rm 3
The cost of baking a loaf of coconut bread = Rm 4
The sale price of a butterscotch bread = Rm 3
The sale price of a chocolate bread = Rm 4.50
The sale price of a coconut bread = Rm 5
The amount of monthly profit the bakery makes, P = Rm 2,975
Therefore, the total revenue of the company, R = C + P
∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825
Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively
Then we get;
x + y + z = 2,150...(1)
2·x + 3·y + 4·z = 6,850...(2)
3·x + 4.5·y + 5·z = 9,825...(3)
Multiplying equation (1) by 2 and subtracting from equation (2) gives;
2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550
2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550
∴ y + 2·z = 2,550...(4)
Adding equation (1) to (2) and subtracting from (3) gives;
3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825
1.5·y = 825
y = 825/1.5 = 550
The number of loaves of chocolate bread baked, y = 550
From equation (4), we get;
550 + 2·z = 2,550
2·z = 2,550 - 550 = 2,000
z = 2,000/2 = 1,000
The number of loaves of coconut bread baked, z = 1,000
∴ From equation (1) x = 2,150 - (550 + 1,000) = 600
The number of loaves of butterscotch bread baked, x = 600.
A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what was purchased?
Answer: 300,000
Step-by-step explanation:
in the standard normal curve, what percent of data lies between 0 and 1 standard deviation?
About 68% of the data in a typical normal curve is within one of the mean's standard deviation. Accordingly, 68% of the data should fall between -1 and 1 if the data's mean was 0 and its standard deviation was 1.
A theoretical continous probability distribution known as the "standard normal curve" depicts a bell-shaped, symmetrical curve. The normal distribution or the Gaussian distribution are other names for it. The standard normal curve, which serves as a benchmark for other normal distributions, has a means of 0 and a variance of 1. For simpler analysis and comparison, data sets can frequently be translated into the normal form standards. The distributions of many real-world events, including IQ scores, length, weight, and heart rate, to mention a few, is described by the curve, which is significant in statistics. Among other uses, the normalised curve is employed in statistical inference, quality control, and hypothesis testing.
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please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
A man who is 2 m tall stands on horizontal ground 30 m from a tree. The angle of elevation the top of the tree from his eyes is 28°.Estimate the height of the tree
The estimated height of the tree in this question is 17.9 metres which is 30 metres away from the man having 2 m height
The height of man = 2 m
Angle of elevation of the top of the tree =28 deg
Horizontal distance between the man and the tree is 30 m.
we need to calculate the height of the tree.Let us Assume that the height of the tree be x metres. so the vertical height of tree above man's height will be x-2 units.
The height of the tree can be found by using formula
\( \tan(28) =( x - 2) \div 30 \\ 30 \tan(28) = x - 2 \\ x = 2 + 30\tan(28) \\ x = 17.9 \: metres\)
In this problem we have used the trigonometric ratio tany = perpendicular / base
here in this right angle triangle the perpendicular is x-2
while base is 30 metres.
so by putting the values in the above equation we will get the answer.
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Each unit in the graph above is one block. How far would you have to walk from the party supply store to the art gallery and then continue on to the dry cleaners?
Options:
A)
6 blocks
B)
11 blocks
C)
12 blocks
D)
10 blocks
Answer:
11 blocks
Step-by-step explanation:
I NEED HELP FAST
Which statement about the point (0, 5) is true?
It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.
Answer:
(0,5) is on the y-axis
Step-by-step explanation:
Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.
Answer:
it is on the y-axis
Step-by-step explanation:
I need helpp please
Answer:
A, 0.07 x 0.06 =0.42.
Step-by-step explanation:
what is the volume of a cylinder in cubic feet with a height of 12 feet in a base diameter of 12 feet
Answer:
1357.17 cubic feet
Step-by-step explanation:
The volume of a cylinder is
\(\pi {r}^{2} h\)
We know the height is 12, and the radius is simply half our diameter, which in this case is
\( \frac{12}{2} = 6\)
plug these two numbers into our formula and we have found our volume.
please help i’ll give brainliest ( zoom in if you can’t see )
Step-by-step explanation:
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write an equation for a parabola with a vertex of (-1, -10) and a focus of (-1, -9)
Answer:
(x + 1)² = 4(y + 10)
Step-by-step explanation:
Equation of parabola:
(x - h)² = 4a(y - k)
with vertex(h, k) and focus (h, k + a)
vertex(h, k) = (-1, -10)
⇒h = -1 and k = -10
focus (h, k + a) = (-1, -9)
⇒ k + a = -9
⇒ -10 + a = -9
⇒ a = 10 - 9
⇒ a = 1
Equation of parabola:
(x - h)² = 4a(y - k):
(x - (-1))² = 4(1)(y - (-1))
= (x + 1)² = 4(y + 10)
what do you think the true slope is? you do not need an exact number. hint: can you provide an interval that you think the true slope falls in?
A line's equation can be written as y = mx + b, y = ax + b, or y = a + bx. As may be seen, the equation for the regression line is similar as true slope.
Explain the term true slope?Understanding the distinction between negative, positive, zero, and undefinable slopes is crucial.
In summary, the function operates "uphill" if the slope equals positive and y rises as x rises (going left to right). If a slope is negative, the function is downward-sloping because y falls off as x rises. If the slope is zero, y remains constant—a horizontal line—and does not vary. Problematic vertical lines are those in which x remains constant. Because it is divided by zero, our formula is therefore undefinable. Some people will refer to this situation as having an infinite slope, but we are unable to determine whether it is negative or positive infinity!As a result, the rather perplexing term "no slope" is also frequently used in this context.
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Gerri says that if a number is a multiple of 9 it is also a multiple of 3.Do you agree? Explain.
Emilio buys a bag of cookies that contains 7 chocolate chip cookies, 7 peanut butter cookies, 7 sugar cookies and 8 oatmeal cookies. What is the probability that Emilio randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie? Probability =
The probability of Emilio randomly selecting an oatmeal cookie from the bag, eating it, and then randomly selecting a sugar cookie is approximately 0.069.
To calculate the probability that Emilio randomly selects an oatmeal cookie from the bag, eats it, and then randomly selects a sugar cookie, we need to consider the total number of cookies in the bag and the number of oatmeal and sugar cookies.
Given:
Number of chocolate chip cookies = 7
Number of peanut butter cookies = 7
Number of sugar cookies = 7
Number of oatmeal cookies = 8
Total number of cookies = 7 + 7 + 7 + 8 = 29
First, Emilio selects an oatmeal cookie. The probability of selecting an oatmeal cookie is the number of oatmeal cookies divided by the total number of cookies:
P(Oatmeal) = 8/29
After eating the oatmeal cookie, there are now 28 cookies left in the bag. Since Emilio does not put the oatmeal cookie back in the bag, there are now 7 sugar cookies left in the remaining 28 cookies.
Next, Emilio randomly selects a sugar cookie. The probability of selecting a sugar cookie after eating the oatmeal cookie is the number of sugar cookies left divided by the total number of remaining cookies:
P(Sugar | Oatmeal) = 7/28
To find the probability of both events happening (selecting an oatmeal cookie and then selecting a sugar cookie), we multiply the probabilities together since the events are independent:
P(Oatmeal and Sugar) = P(Oatmeal) * P(Sugar | Oatmeal)
Substituting the values:
P(Oatmeal and Sugar) = (8/29) * (7/28) = 56/812 ≈ 0.069
Therefore, the probability that Emilio randomly selects an oatmeal cookie from the bag, eats it, and then randomly selects a sugar cookie is approximately 0.069.
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How do you find the area of a rhombus without diagonals?
The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.
The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.
The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.
It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.
Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.
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Latoya opened a saving account and made an initial deposit. after the initial deposit, she added money into the account each week. she added the same amount of money each week, and she did not make and withdraws. after 4 weeks, she had $450 in her account. after 9 weeks, she had $825 in her account
how much money is latoya adding to her account each week?
how much was latoya's deposit?
write an equation to represent the amount in latoya's account ,y, after x weeks.
Latoya is adding $75 to her account each week. Her initial deposit was $150. The equation representing the amount in Latoya's account, y, after x weeks is y = 75x + 150.
To determine how much money Latoya is adding to her account each week, we can find the difference between the amounts in her account after 4 weeks and 9 weeks.
The difference is $825 - $450 = $375.
Since she added the same amount of money each week, the difference represents the amount she added in 5 weeks. Therefore, she is adding $375 / 5 = $75 to her account each week.
Next, we need to find Latoya's initial deposit. Since after 4 weeks she had $450 in her account, and she added $75 each week, we can subtract the amount added in 4 weeks (4 * $75 = $300) from $450. This gives us the initial deposit of $450 - $300 = $150.
Finally, we can write an equation to represent the amount in Latoya's account, y, after x weeks. Since she adds $75 each week, the equation is y = 75x + 150, where x represents the number of weeks.
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What is the next number in the sequence: 9,16,24,33...?
Answer: 16 − 9 = 7 24 − 16 = 8 33 − 24 = 9
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds
The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.
We need to find the height of the given triangle.
What is the formula to find the area of the triangle?The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).
Where s is the semiperimeter, a,b and c are sides of the triangle.
Now, s=6+10+14/2=15 yds
Area of a triangle=√15(15-6)(15-10)(15-14)=25.9
Area of triangle=1/2×14×h=25.9 square yds
⇒h=3.7 yds
Therefore, the height of the given triangle is 3.7 yds.
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Solve the inequality.
\($-9.1\ \textless \ d-6.3$\)
Answer:
d>-2.8
Step-by-step explanation:
-9.1<d-6.3 Add 6.3 on both sides of the inequality to isolate d.
+6.3 +6.3
-2.8<d or d>-2.8
Hope this helps you out and have an amazing day ^^
A new energy drink advertises 140 calories for 8 ounces. How many calories are in 20 ounces of the drink?
There are
calories in the 20 ounce drink.
Answer:
350
Step-by-step explanation:
in every 140 calories there is 8 ounces
what about in 20 ounce of drink
140 calories ___8 ounce
? 20 ounce
140×20 =2800÷8=350
A realtor in Mission Viejo, California, believes that the average price of a house is more than $500 thousand.
a. Select the null and the alternative hypotheses for the test.
(A) H0: μ = 500,000; HA: μ ≠ 500,000
(B) H0: μ ≤ 500,000; HA: μ > 500,000
(C) H0: μ ≥ 500,000; HA: μ < 500,000
b-1. Assume the population standard deviation is $100 (in $1,000s). What is the value of the test statistic? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic = ?
b-2. Find the p-value.
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10
c. At α = 0.05, what is the conclusion?
Reject H0; realtor's claim is supported by the data.
Reject H0; realtor's claim is not supported by the data.
Do not reject H0; realtor's claim is supported by the data.
Do not reject H0; realtor's claim is not supported by the data.
House Price
430
520
460
475
670
521
670
417
533
525
538
370
530
525
430
330
575
555
521
350
399
560
440
425
669
660
702
540
460
588
445
412
735
537
630
430
The average price of a house in Mission Viejo, California, is more than \$500,000. The realtor's claim is supported by the data.
The test statistic is 2.58 and the p-value is 0.0103. This means that there is a 1.03% chance of getting a sample mean of \$533.23 or higher if the population mean is \$500,000.
Therefore, we reject the null hypothesis and conclude that the average price of a house in Mission Viejo, California, is more than \$500,000.
The realtor's claim is supported by the data because the test statistic is greater than the critical value of 1.96 and the p-value is less than the significance level of 0.05. This means that there is a statistically significant difference between the sample mean and the population mean. Therefore, we can conclude that the average price of a house in Mission Viejo, California, is more than \$500,000.
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Hans is on the swim team. Each week he swims a total of 4000 meters. How many kilometers does he swim each week?
Answer:
4 kilometers
plz give brainliest
Step-by-step explanation:
Answeri think 40 kilo
Step-by-step explanation:
los números irracionales con su nombre y valor
Here are some famous irrational numbers with their names and values:
Pi (π) : 3.14159265358979323846...Euler's Number (e) : 2.71828182845904523536...The Square Root of 2 (√2) : 1.41421356237309504880...The Golden Ratio (φ) : 1.61803398874989484820...What is an Irrational Number?All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.
Note: Irrational numbers are numbers that cannot be expressed as a finite decimal or a fraction and they go on forever without repeating.
The list of irrational numbers with their name and values is given above.
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The English translation of the question is:
"Irrational numbers with their name and value"
1. a function in the form of y = ax
2. "x" in the exponential form y = ax
3. a logarithm with a natural base of e
4. rectangular arrangement used to organize data
5. "a" in the exponential form y = ax
6. a logarithm with a natural base of 10
7. equivalent form of an exponential function
A. matrix
B. exponent
C. natural logarithm
D. common logarithm
E. logarithim
F. base number
G. exponential function
Answer:
1. a logarithm with a natural base of 10 is called a common logarithm.
2. "a" in the exponential form y = ax is called a base number.
3. equivalent form of an exponential function is called a logarithm.
4. a logarithm with a natural base of e is called a natural logarithm.
5. a function in the form of y = ax is called an exponential function.
6. "x" in the exponential form y = ax is called an exponent.
7. rectangular arrangement used to organise data is called a matrix.
I hope this helps. Good luck!
The correct matches are 1-G, 2-B, 3-C, 4-A, 5-F, 6-D, and 7-E.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
1. A function in the form of y = aˣ is the exponential function.
2. "x" in the exponential form y = aˣ is the exponent.
3. A logarithm with a natural base of e is called a natural logarithm.
4. The rectangular arrangement used to organize data is a matrix.
5. "a" in the exponential form y = aˣ is the base number.
6. A logarithm with a natural base of 10 is called a common logarithm.
7. The equivalent form of an exponential function is called logarithm.
Thus, the correct matches are 1-G, 2-B, 3-C, 4-A, 5-F, 6-D, and 7-E.
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PART B, 50 POINTS IF RIGHT!
Answer:
I believe the correct answer is B! Hope this helped.
Answer:
b
Step-by-step explanation: