8. What is the next term in the pattern 32 = 9, 92 = 81, 812 = 6,561....? F. 324 + 2 = 326 H. 6,5612 = 43,046,721 G. 324 x 1 = 324 I. 324 x 2 = 648
Answers
6561 = 6561^2
= 43046721
Related Questions
What is this called ........................
Answers
Answer:
C
Step-by-step explanation:
Alternate interior angles are next to each other. Sorry if im wrong.
The auxiliary bookstore in the student center has one checkout counter where one employee operates the cash register. Customers arrive at a rate of 24 per hour following a Poisson distribution and service times are exponentially distributed, with a mean rate of 30 customers per hour. The average purchase per customer is $48. The bookstore considers adding another employee to assist the present operator. There are several options to utilize this additional staff. One is to enable more customers to be served in less time, thus increasing the service rate from 30 customers per hour to 40 customers per hour. Alternatively, the bookstore could redesign to add a second cash register, one has its own line. Assume existing customers split evenly between the two cash registers and each has her/his own line, just like most grocery stores. Finally, the bookstore can use this additional staff as a second register but unlike option 2, there is only one combined line shared by these two registers (like most of the bank tellers). Assume the hourly rate for each employee is $20, regardless what job do they perform. Assume that each customer is only waiting for up to 1 minute to be served, or would renege (i.e., leave the store unpurchased). Which option should the bookstore adopt to minimize the total cost?
Answers
Answer and explanation:
Find attached
Both customers' arrival and service times follow exponential distribution. We have calculated the essential operating characteristics of this queuing system
What is the length of EF in the right triangle below?
D
26
10
E
F
Answers
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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What is the solution to the system of equations?
y = x+3
X = -2
01-2, - 15
(-2, )
01-2, 12)
(-2, 17)
Answers
Answer:
( -2,1)
Step-by-step explanation:
y = x+3
X = -2
Substitute x = -2 into the first equation
y = -2 +3
y = 1
( -2,1)
Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answers
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.
A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
Answers
In this case, the width is x^2 inches, the length is xy^2 inches, and the height is xy inches.
Substituting these values into the formula, we get:
V = (xy^2)(x^2)(xy)
Simplifying, we get:
V = x^4y^3
Therefore, the expression that represents the volume of the rectangular prism in cubic inches is x^4y^3.
plsss explain nd i’ll give brainliest answer
Answers
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
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Write the log equation as an exponential equation. You do not need to solve for x.
log (x^2– 5x + 14) = 2x + 4
Answers
9514 1404 393
Answer:
x^2 -5x +14 = 10^(2x +4)
Step-by-step explanation:
The relationship is ...
log(a) = b ⇔ a = 10^b
__
Using this with a=x^2-5x+14 and b=2x+4, we have ...
x^2 -5x +14 = 10^(2x +4)
_____
Additional comments
In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.
The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.
__
The one solution is approximately x = −1.32505947996.
Rewrite using the distributive property: 24 + 16 .
Answers
Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answers
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
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Which measure of central tendency would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
select one
A. Interquartile Range
B. Mean
C. Median
Answers
Sharon is planting tulip
bulbs in her garden. In the
catalog she sees a disclaimer that there is a 1/15 probability that a bulb will not flower. If Sharon plants 90 bulbs, how many tulips can she expect to see in her garden?
Answers
Answer:
84 flowers.
Step-by-step explanation:
We must multiply 90 by 1/15 to get 6 bulbs that will not flower. 90-6 is 84.
If the cost of milk is $3 per gallon, what is the amount of money a farmer can make by selling the milk produced by the cow in the month of April?
Answers
The amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
How to determine the amountFrom the equation given, we have that
$3 = I gallon
Let's take it that the farmer sells one gallon by per day
We know that the month of April has 30 days
So if he makes $3 in 1 day
He would make x in 30 days
Collect like terms
$30 × 30 days = amount
Multiply through
Amount = $90
Thus, the amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
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A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answers
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
Answers
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
Owner investment: $8,000
Revenue: $15,000
Equity: $21,000
Expenses: $3,000
Based on this data, the net profit or loss on the income statement should be:
Answers
Answer: $12,000
Step-by-step explanation:
The Income statement shows the Net Profit or Loss for a company in a given period. That Net income is calculated by subtracting expenses from the revenue for the period:
= Revenue - Expenses
= 15,000 - 3,000
= $12,000
Determine whether the given figure tessellates the plane.
a yes
b. no
Answers
Yes. Given figure tessellates the plane.
What is tessellation?"It is a pattern created with identical shapes which fit together with no gaps."
For given situation,
The figure is a hexagon.
A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.
So the figure is tessellates the plane with triangles.
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Lena rolled a number cube 50 times and got the following results.
Outcome Rolled
Number of Rolls
1
8
2
7
3
6
4
17
5
7
Answer the following. Round your answers to the nearest thousandths.
6
5
(a) From Lena's results, compute the experimental probability of rolling a 6.
0
(b) Assuming that the cube is fair, compute the theoretical probability of rolling a 6.
0
Answers
Lena rolled a number cube 50 times and got the following results are,
(a) The experimental probability of rolling a 6 = 0.1
(b) The theoretical probability of rolling a 6 = 0.167
For the given table is,
Outcome Rolled 1 2 3 4 5 6
Number of Rolls 8 7 6 17 7 5
Number of cube is = 50 times
So,
We can get,
Probability of '6' as outcome = 1/50
Coming from = 1/(8+7+6+17+7+5)
Total number of cube = 50 times
We can solve it,
(a) There are 5 times of rolling of 6
So,
Probability = 5/50
Probability = 1/10
Probability = 0.1
(b) Assuming that the cube is fair,
Each cube's outcomes rolled : 1 , 2 , 3 , 4 , 5 , 6
The Probability of each outcome is equal.
So,
Probability of rolling a 6 = 1/6 = 0.167
Therefore,
(a) The experimental probability of rolling a 6 = 0.1
(b) The theoretical probability of rolling a 6 = 0.167
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In this triangle what is the value of x
Answers
Answer:
Step-by-step explanation:
error
Answer:
x ≈ 75.2
Step-by-step explanation:
using the tangent ratio in the right triangle
tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )
40 × tan62° = x , then
x ≈ 75.2 ( to the nearest tenth )
A scientist is studying wildlife. She estimates the population of bats in her state to be 345,000. She predicts the population to grow at an average annual rate of 1.2%. Using the scientist’s prediction, create an equation that models the population of bats, y, after x years.
y=345,000(0.012)^x
y=345,000(0.988)^x
y=345,000(1.012)^x
y=345,000(1.2)^x
Answers
Answer:
Step-by-step explanation:
The equation that models the population of bats, y, after x years can be found using the formula:
y = P(1 + r)^x
where P is the initial population, r is the annual growth rate as a decimal, and x is the number of years.
In this case, the initial population P is 345,000, the annual growth rate r is 1.2% or 0.012 as a decimal, and x is the number of years. Substituting these values into the formula, we get:
y = 345,000(1 + 0.012)^x
Simplifying the expression in the parentheses, we get:
y = 345,000(1.012)^x
Therefore, the equation that models the population of bats, y, after x years is:
y = 345,000(1.012)^x
Step-by-step explanation:
the other answer is correct.
I just want to point out some mechanism used here :
the increase by 1.2%
an increase by x% means adding x% to the original 100%.
so, we end up with (100 + x)%.
"%" just stands for 1/100.
so, if y = 100%, an increase by x% is
y×(100 + x)/100 = y×(1 + x/100)
in our case here that is
345,000 × (1 + 0.012) = 345,000 × 1.012
and since the increase rate of 1.2% applies per year, we multiply the end population of every year by 1.012 for the following year.
so, each year a new factor of 1.012 is being integrated into the calculation.
it goes then
345,000×1.012×1.012×1.012×...×1.012 x times after x years.
and we get
y = 345,000 × (1.012)^x
\( {2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\)
pls how is this solved
Answers
Hello, please consider the following.
\({2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...\)
Let me know if you need further explanation.
Thank you
If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.
Answers
Answer:
27.30
Step-by-step explanation:
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Answers
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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Question 14<>The table summarizes results from 981 pedestrian deaths that were caused by automobileaccidents.Pedestrian DeathsDriver Pedestrian Intoxicated?Intoxicated?NoYesYes5584No248594If one of the pedestrian deaths is randomly selected, find the probability that the driver was notintoxicated but the pedestrian was. Please enter a decimal to 4 places.Calculator
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
If one of the pedestrian deaths is randomly selected.
Find the probability that the driver was not intoxicated but the pedestrians were.
We are expected to enter 4 decimal places.
Now, from the table, we can see clearly that:
\(\begin{gathered} \text{Probability ( the driver was not intox}icated\text{ but the pedestrians were)} \\ =\text{ }\frac{248}{981} \\ =\text{ 0.2528 ( 4 decimal places)} \end{gathered}\)CONCLUSION:
The final answer is 0. 2528 ( 4 decimal places).
Mr. Martinez has a 16-ounce Starbucks drink. He drinks 10 ounces. What is the percent of ounces Mr. Martinez has left of his drink?
Answers
well, he has left only 6 oz.
now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)
Ms. Annand baked an apple pie. The boys in the house ate ⅛ of it and the girls ate 3/5. What fraction of the pie did the boys and girls eat altogether? Please answer
Answers
Answer:
29/40
Step-by-step explanation:
1/8 + 3/5 =
We need a common denominator.
8 = 2^3
5 = 5
8 and 5 have no common factors, so the LCD is their product.
LCD = 5 * 8 = 40
1/8 + 3/5 =
= 5/40 + 24/40
= 29/40
if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.
Answers
The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.
POA is a right angle so it is 90 degrees.
POC +COA = 90 .....(1)
Also, POC is 3 times as large as COA.
Let's take COA, "x"
POC = 3x
Substituting the values in equation (1) as follows:
x + 3x = 90
4x = 90
x= 22.5
Therefore,
COA = 22.5°
POC = 22.5*3 = 67.5°
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Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
Answers
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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Find the volume of a box that is 2 in x 4 in x 3 inch
Answers
Answer:
24in
Step-by-step explanation:
2*3*4= 24
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
Answers
Answer:
Step-by-step explanation:
the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.
the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height
v = length x width x height
2700 = (15)(15)h
2700/225 = h
the height is 12
The equation for calculating the volume of a rectangle is shown below:
volume= length × width × height.
Hence, the height of the second prism is \(12\).
What is the volume of the rectangle?
The equation for calculating the volume of a rectangle is shown below:
volume= length × width × height.
A rectangular prism has a base with a length of \(25\)
A rectangular prism has a base with a width of \(9\)
A rectangular prism has a base with a height of \(12\)
The volume of a first rectangular prism is
\(v=(25)(9)(12)\\v=2700\)
A second prism has a square base with a side of \(15\) as we know the sides of the square are equal so by substituting the values in length and width we find out the height of second rectangular prism
\(v=(15)(15)h\\2700=225(h)\\h=\frac{2700}{225}\\h=12\)
Hence, the height of the second prism is \(12\).
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