Answers
Answer:
D
Step-by-step explanation:
6^(4+0) = 6^4
6^(-10) : 6^4
6^(-10-4)
6^(-14)
1/6^(14)
Related Questions
y=2x+4 I need what the graph would look like. Please help me!
Answers
Answer: I attached a picture of the graph
Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
What is √x⁵y⁶ expressed in simplified form?
x²y³√x
xy√xy
x²y²√xy
x²y√x
Answers
The simplified form of the expression \(\sqrt{x^5y^6}\) is \(x^2y^3\sqrt{x}\)
The given expression is \(\sqrt{x^5y^6}\)
The expression the mathematical statement that consist of different types of variables, numbers and the mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal sign and the inequality sign will not be the part of the expression
Here the given expression is
\(\sqrt{x^5y^6}\)
We know that
\(\sqrt{x^2}\) = x
Therefore, for each square values we can take that term outside of the square root
Here you can take x^4 take outside as x^2 and one x will remain in the square root, similarly you can take y^6 outside of the square root as y ^3
The final result = \(x^2y^3\sqrt{x}\)
Therefore, the simplified form is \(x^2y^3\sqrt{x}\)
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The lengths of the sides of a triangle are 3 , 4 , 5 Classify the triangle as acute, right, or obtuse.
Answers
Answer:
Right
Step-by-step explanation:
This triangle is a right triangle because the sum of the squares of the shorter sides (3^2 + 4^2 = 9 + 16 = 25) is equal to the square of the longest side (5^2 = 25).
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
Answers
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 2 hours. Find the average speed on the level road if the entire trip was 290 miles.
Answers
Answer:
Let's call the average speed on the winding road "x". Then, the average speed on the level road is "x + 20".
We know that the bus traveled on the winding road for 2 hours, so the distance traveled on the winding road is:
distance = rate × time = x × 2 = 2x
We also know that the bus traveled on the level road for 3 hours at an average speed of "x + 20", so the distance traveled on the level road is:
distance = rate × time = (x + 20) × 3 = 3x + 60
The total distance traveled is 290 miles, so we can write:
2x + 3x + 60 = 290
Combining like terms and solving for x, we get:
5x + 60 = 290
5x = 230
x = 46
Therefore, the average speed on the winding road is 46 mph, and the average speed on the level road is:
x + 20 = 46 + 20 = 66 mph.
Help for Pre Calc please
Answers
The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.
How to obtain the inverse function?The function in this problem is defined as follows:
f(x) = 4x^4.
To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:
x = 4y^4.
Isolating the variable y, we have that:
y^4 = (x/4).
The inverse operation of the fourth power is the fourth root, hence:
\(y = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)
The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.
This means that the second statement is correct.
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Jill, an employee at Old Navy, budgets 1/4 of her yearly salary for clothing. Jill’s total clothing bill for the year is $7740 what is her yearly salary
Answers
Answer:
Step-by-step explanation:
if 1/4 of her salary =7740
than she makes 7740*4=30,960.00 dollars per year
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answers
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
A point at (−85, 40) is reflected over the x-axis.
What are the coordinates of the reflected point?
Enter your answer by filling in the boxes.
Answers
Answer:
the coordinates of the reflected point are (-85, -40).
If f(x)=x^(2 )+4 then verify (fof^(-1))(x)=(f^(-1) of)(x)=x. (Consider the positive values only)
Answers
Answer:
Step-by-step explanation:
If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
What is a function?A relation is a function if it has only One y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
If f(x)=x²+4
Then we have to prove f⁻¹of(x)=f⁻¹(f(x)
Let us consider fof⁻¹(x)
f(f⁻¹(x))
x
So (fof⁻¹(x))=x
Now f⁻¹of(x)=f⁻¹(f(x)
=x
Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
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One-third (x minus 2) = one-fifth (x + 4) + 2?
Answers
Answer:
x = 26
Step-by-step explanation:
It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answers
Answer:
a
\(\mu = 127\)
b
\(\sigma = 9.76\)
c
\(z-score = 3.18 \)
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
\(\mu = np\)
=> \(\mu = 508 * 0.25\)
=> \(\mu = 127\)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{ np (1-p)}\)
=> \(\sigma = \sqrt{ 508 * 0.25 (1-0.25)}\)
=> \(\sigma = 9.76\)
Generally the z-score of 158 is mathematically represented as
\(z-score = \frac{158 - 127}{9.76}\)
=> \(z-score = \frac{158 - 127}{9.76}\)
=> \(z-score = 3.18 \)
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
Pls halp meh. reeeeeeeeee
Answers
Answer:
x = 8, and y = 21
Step-by-step explanation:
You probably don't need this since this question was yesterday, but if you still need help:
I'm not the best at explaining but, Angles EOF and FOG are complementary, making 3y equal to 63. 63 divided by 3 is 21 making y = to 21. Angles AOE and GOB are also complementary adding them in the equation makes 9x + 18.
90 degrees minus 18 is 72, 72 divided by 9 is 8. Making 8 equal to x. 9x +18 ((9)8 + 18) is equal to 90 degrees.
Try to make something better again I'm not good at explaining.
NO LINKS!! URGENT HELP PLEASE!!!
Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, and the explicit formula.
34. -11, -7, -3, 1, . . .
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
35. a_n = -30 - 4n
Answers
Answer:
#34. aₙ = 4n - 15; a₅₂ = 193#35. a₅₂ = -238; d = - 4-----------------
Question 34Find the differences in the sequence -11, -7, -3, 1, ...
1 - (-3) = 4,-3 - (-7) = 4,-7 - (-11) = 4The difference is common, so the sequence is an AP.
The nth term is:
\(a_n=a_1+(n-1)d\)\(a_n=-11+(n-1)*4=-11+4n-4=4n-15\)Find the 52nd term:
\(a_{52}=4*52-15=208-15=193\)Question 35Find the 52nd term using the given formula:
\(a_{52}=-30-4*52=-30-208=-238\)Find the previous term:
\(a_{51}=-30-4*51=-30-204=-234\)Find the common difference:
\(d=a_{52}-a_{51}=-238-(-234)=-4\)Answer:
\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)
\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)
Step-by-step explanation:
Question 34An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Given sequence:
-11, -7, -3, 1, ...To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.
\(a_4-a_3=1-(-3)=4\)
\(a_3-a_2=-3-(-7)=4\)
\(a_2-a_1=-7-(-11)=4\)
As the differences are constant, the sequence is arithmetic, with common difference, d = 4.
The explicit formula for an arithmetic sequence is:
\(\boxed{a_n=a+(n-1)d}\)
where:
a is the first term of the sequence.n is the position of the termd is the common difference between consecutive terms.To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:
\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)
Therefore, the 52nd term is a₅₂ = 193.
\(\hrulefill\)
Question 35Given explicit formula for an arithmetic sequence:
\(a_n=-30-4n\)
To find the common difference, we need to compare it with the explicit formula for the nth term:
\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)
The coefficient of the n-term is -4, therefore, the common difference is d = -4.
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)
Therefore, the 52nd term is a₅₂ = -238.
Given that cos x = 3/5 and 0
Answers
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
Para la construcción de una cabaña en el campo don Samuel compró 7,943 clavos hasta el momento ha utilizado 473 ¿cuantos clavos le queda?
Answers
Restando la cantidad utilizada de el total, tiene-se que 7470 clavos le quedan.
----------------------
En total, para la construcción, Samuel compró 7,943 clavos.De toda esta cantidad, 473 fueron utilizadas.La cantidad de clavos que le quedan es la subtracción da cantidad total por la utilizada, o sea, 7943 restado de 473.\(7943 - 473 = 7470\)
Le quedan 7470 clavos.
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In a data distribution that is skewed left.
Answers
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
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83 points .Ray has 16 coins in his pocket. 8 are quarters, and the others are nickels. Randall selects two coins at random from his pocket without putting the coins back in his pocket. Which answer choice best describes this event?
A. This is an independent event because he is not replacing the coin before drawing the next one.
B. This is a dependent event because he is not replacing the coin before drawing the next one.
C. This is an independent event because he could select a quarter and then a nickel.
D. This is a dependent event because he could select a quarter and then a nickel.
Answers
Answer:
C
Step-by-step explanation:
sorry if is wrong
This is an independent event because he could select a quarter and then a nickel. Then the correct option is C.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
\(P(A \cap B) = P(A)P(B)\)
Ray has 16 coins in his pocket. 8 are quarters, and the others are nickels.
Randall selects two coins at random from his pocket without putting the coins back in his pocket.
This is an independent event because he could select a quarter and then a nickel.
Then the correct option is C.
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Can somebody please help me with this question
Answers
Answer:
(3^2) - n
Step-by-step explanation:
For this problem we will take it step by step to build the expression:
raise 3 to the 2nd power
= 3^2
then find the difference of the result and n
= (3^2) - n
Hence, your final expression should be (3^2) - n.
Cheers.
If w = 22, what is the value of 4w − 12? 14 76 100 410
Answers
Answer:
76
Step-by-step explanation:
i need 20 words but i gave a pic of explanation u should learn
88 - 12 = 76 (plug in 88, your simplified answer, then subtract by 12 and get 76)
A cinderblock is pulled 0.50 meters to the right in 0.2 seconds. What is the block's
average speed to the nearest tenth of a meter per second (m/s)? Your answer should
only contain numbers (no units).
Answers
Answer:
2.5
Step-by-step explanation:
I took the test :)
the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answers
1. Find the midpoint of the segment using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
2. Use the midpoint and the slope to find the equation of the line in point-slope form. The point-slope form is given by:
y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.
Substituting the values:
y - 1 = (9/7)(x - (-2))
y - 1 = (9/7)(x + 2)
y - 1 = (9/7)x + (18/7)
3. Simplify the equation to obtain the slope-intercept form:
y = (9/7)x + (18/7) + 1
y = (9/7)x + (18/7) + (7/7)
y = (9/7)x + (25/7)
So, the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5) is y = (9/7)x + (25/7).
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
what is the value of each expression in simplest form 1/4 x 4/5
Answers
Answer:
1/5, 0.2, and 20%
Step-by-step explanation:
You can multiply and you will get 4/20 which you can simplify to 1/5.
Answer:
\(\frac{1}{5}\) or 0.2
Step-by-step explanation:
\(\frac{1}{4}\) × \(\frac{4}{5}\)
= \(\frac{1}{5}\) or 0.2
List the steps that you will do in order to solve for 39 ÷ (12 + 1)− 2 × (4 + 15).
Answers
Answer: -35
1. Simplify 12 + 1 to 13.
39 divided by 13 - 2 (4 + 15)
2. Simplify 4 + 15 to 19.
39 divided by 13 - 2 • 19
3. Simplify 39 divided by 13 to 3.
3 - 2 • 19
4. Simplify 2 • 19 to 38.
3 - 38
5. Simplify.
-35
9514 1404 393
Answer:
simplify parenthesesdivide 39/13multiply 2(19)subtract 3-38Step-by-step explanation:
The order of operations tells you to evaluate parentheses first.
Step 1: simplify (12+1) and (4+15)
39÷13 -2×19
Then it tells you to do multiplication and division, left to right.
Step 2: divide 39÷13
3 -2×19
Step 3: multiply 2×19
3 -38
Finally, addition and subtraction are done, left to right.
Step 4: subtract 38 from 3
-35
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
Answers
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
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Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 3 hours, plus Dave gave the driver a 10% tip. How much did he spend in total for the hourly charges plus tip?
A.
$252
B.
$189
C.
$287
D.
$231
Answers
Answer:
$231
Step-by-step explanation:
3 hours for 70 dollars an hour we multiply 70 by 3
70x3
210
And then to get the 10 percent tip we multiply 210 by .10
210x.10
21
And now we add 210 and 21 to get 231
Hopes this helps please mark brainliest
someone help please show work
Answers
Answer: m=18
Step-by-step explanation:
Naji is trying to draw an isosceles triangle. He is
given point A at (-4,-2) and point B at (2,-2).
Plot these two points, then help Naji make the
isosceles triangle ABC by ploting point C. Give
your coordinates for point C. It must be on the
grid provided.
Answers
Answ
Step-by-step explanation:wirugf4
I need help urgently on this problem, please and thank you
Answers
The inverse of function f is \(f^{-1}(x)=\frac{4}{x}-3\).
The domain of f is (-∞, -3) U (-3, ∞).
The range of f = (-∞, 0) U (0, ∞)
The domain of f⁻¹ = (-∞, 0) U (0, ∞).
The range of f⁻¹ = (-∞, -3) U (-3, ∞).
How to determine an inverse function?In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value or domain) and dependent value (y-value or range) as follows;
f(x) = y = 4/(3 + x)
x = 4/(3 + y)
3 + y = 4/x
f⁻¹(x) = 4/x - 3
\(f^{-1}(x)=\frac{4}{x}-3\)
By critically observing the graph of this rational expression (function) and its inverse shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain of f = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
Range of f = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Domain of f⁻¹(x) = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Range of f⁻¹(x) = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
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