Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
\((\frac{-1}{2} )^{-3}\)
-2\times -2\times -2
\((\frac{1}{a} )^{-m}= a^m\)
So,
\((\frac{-1}{2} )^{-3} = (-2)^3\\\\(-2)^3 = -2\times -2\times -2\\\\ -2\times -2\times -2=-8\)
Therefore, Option "B" is the correct answer
Pleaseeeeee helppppppp
Select the correct answer from each drop-down menu.
Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert's first practice ride
covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increase his average speed by 2 miles/hour .
The denominator of the function that models practice ride 2 represent the
A . Increase in Gilbert’s average biking speed
B. Distance Gilbert’s travels
C . Time it takes Gilbert’s to travel 5 miles
D . Biking speed for the second practice ride .
To find a function that models the total amount of time Gilbert spend doing practice rides on the race course
A . Add
B. Multiply
C . Divide
D . Subtract
The functions
Answer:
D . Biking speed for the second practice ride
Add
Step-by-step explanation:
Given :
First practice ride:
Distance = 5 miles
2nd practice ride :
Distance = 9 miles
Time models for each practice ride ;
First practice ride :
a(x) = 5 / x
x = speed
2nd practice ride :
b(x) = 9 / (x + 2)
Recall :
Time taken: distance / speed ; compacting with time taken equation of the 2nd practice ride :
Hence,
Speed of 2nd practice ride = x + 2
B.) To obtain a function for the total amount of time :
We take the sum of the first and second practice time : a(x) + b(x)
5/x + 9/(x+2)
Answer: For plato family
Biking speed for the second practice ride .
Add
Step-by-step explanation:
I just took the test
A textbook store sold a combined total of 283 math and sociology books in a week. The number of sociology textbooks sold was 89 less than the number of math textbooks sold. How many textbooks of each type were sold
Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.
Answer: \(\frac{3}{4}\)c
Step-by-step explanation:
If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):
3/4c
- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.
- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.
Solving the Question:The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:
\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)
Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.
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https://brainly.com/question/13667588it is known that the average IQ of the population of adults is 100. A sample of 50 college students has an average IQ of 108. The probability of this difference being caused by random chance is 1/1000. Are these results statistically significant?
Options:
no, because the results are likely to occur by chance
no, because the results are unlikely to occur by chance
yes, because the results are likely to occur by chance
yes, because the results are unlikely to occur by chance.
Answer:
yes, because the results are unlikely to occur by chance
Step-by-step explanation:
1/1000 is converted to 10% as a decimal. That's like saying for everyone 1000 people, at least one of the can be this "random chance". The smaller the general population is, the higher the affect this percentage has on that group. If the population is lower, than there might be more of a chance that it'll occur but also because there's a smaller population, there's less variety.
You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 520 log-ons per month. When you lowered the price to $3.50, the demand increased to 780 log-ons per month.
(a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x) =
(b) Your Internet provider charges you a monthly fee of $30 to maintain your site. Express your monthly profit Pas a function of the log-on fee x.
P(x) =
Determine the log-on fee you should charge to obtain the largest possible monthly profit.
x = $
What is the largest possible monthly profit?
$
Answer:
a)\(R(x)=-520x^2+2600x\)
b)\(P(x)=-520x^2+2600x-30\)
c)x=2.5
d)P(x)=3220
Step-by-step explanation:
Let Demand function be D=Ax+B
We are given that When you charged $4 the demand was 520 log-ons per month
So, D = 520 , x = 4
So, 520=4A+B ----1
We are also given that When you lowered the price to $3.50, the demand increased to 780 log-ons per month.
So, D=780 , x = 3.50
So, 780=3.5A+B ----2
Substract 2 form 1
4A+B-3.5A-B=520-780
0.5A=-260
\(A=\frac{-260}{0.5}\)
A=-520
Substitute value of A in 2
780=3.5(-520)+B
780-3.5(-520)=B
2600=B
So, D=-520x+2600
Revenue = Demand (x)=(-520x+2600)(x)
a) \(R(x)=-520x^2+2600x\)
b) Profit = Revenue - cost
\(P(x)=-520x^2+2600x-30\)
c)to obtain the largest possible monthly profit.
Equate the first derivative of profit to 0
P'(x)=-1040x+2600=0
\(x=\frac{2600}{1040}\)
x=2.5
d)Now to find the largest possible monthly profit
Substitute x = 2.5 in Profit function
\(P(x)=-520(2.5)^2+2600(2.5)-30\)
P(x)=3220
Which is the same as asking:
7 raised to what power equals 2,401?
7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.
What is meant by power?
Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.
What is meant by exponent?
An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.
According to the given information
To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:
log7(7ˣ) = log7(2,401)
x = log7(2,401)
Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.
Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:
7⁴ - 2 = (7²)² - 2
= 49² - 2
= 2,401
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How to find the inverse for f(x) = 2x-6
Answer:
The inverse is 1/2x +3
Step-by-step explanation:
f(x) = 2x-6
Replace f(x) with y
y= 2x-6
Exchange x and y
x = 2y-6
Solve for y
Add 6 to each side
x+6 = 2y-6+6
x+6 = 2y
Divide each side by 2
(x+6)/2 = 2y/2
1/2 x+3 = y
The inverse is 1/2x +3
Answer:
\({f}^{ - 1} (x) = \frac{x + 6}{2} \\ \)Step-by-step explanation:
\(f(x) = 2x-6\)
To find the inverse of f(x) , equate f(x) to y that's
\(y = 2x - 6\)
Next interchange the terms that's x becomes y and y becomes x
\(x = 2y - 6\)
Next solve for y
Move 6 to the other side of the equation
That's
\(2y = x + 6\)
Divide both sides by 2 to make y stand alone
\( \frac{2y}{2} = \frac{x + 6}{2} \\ \\ y = \frac{x + 6}{2} \)
We have the final answer as
\( {f}^{ - 1} (x) = \frac{x + 6}{2} \\ \)
Hope this helps you
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
A. \(\frac{24}{25}\)
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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A _______________________ is a conclusion after you have observed the patterns.
Answer:
Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
I’M GIVING BRAINLIEST!!!
Answer:
D i think
Step-by-step explanation:
Plz help me I am in a test
Tell which choice, 100, 500, or 1,000, is the best estimate of the solution.
69.3x = 5,059
a.100
b. 1,000
C. 500
Answer:
c
Step-by-step explanation:
because I did this test and got the answer right
Answer:
I would say A because 5000/70 is roughly like 80 something so it's less than 100 either way, so 100 is the best guess
Step-by-step explanation:
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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Find the surface area of this triangular prism. 4,428 square inches 5,112 square inches 5,796 square inches 7,164 square inches
Answer:
Your answer does not specify which measurement is for which. (Base Side A, Base Side B, Base Side C, or the Height)
Given the order of the numbers, I plugged it in as the order of numbers follows.
As a result, I got
1.32×10^8 or 131673000 inches squared
Answer:
≈1.31673×108^10
or
131673000
I dunno if these answers are right but i hope this helps you x
Describe the radionuklider thereom.
Answer:
The radionkulider theorem describes the relationship between radicals and kulids. Thus explaining that when one adds a radical to the square root of a kulid, one would get a radia kulifer and those being divided together would make an ultimate of a radionklider. Another way this is applied is if one subtracts the radion and the kulid from each other, this would merge into the property of radionkulider and would ultimateley give you a radionklider formula and theorem.
Step-by-step explanation:
The radionuklider thereom is a simple 4 step process to figure out the force of Shrek's Fart.
The equation of the first step is:
sf = d+f+sp/ts
shrek's farts = diarrihha mass + fart pressure + overall smell degree / toilet size
The second step is to take that number equivalent and put it to the power of your sheets of toilet paper.
Then square root it by Shrek's shoe size.
Then divide it and then multiply it by your personal likability of shrek on the 1 - 1000 scale.
Which point is the best approximation of the relative maximum of the polynomial function graphed below?
Answer:
D
Step-by-step explanation:
How can 4 x 3/4 be solved using multiplication or division
Answer:
3 (used both)
Step-by-step explanation:
4x3=12
1x4=4
12÷4=3
The wait times in the drive-thru of a local coffee shop are Complete the sentences.
Normally distributed, with a mean of 4.3 minutes and a
standard deviation of 0.9 minutes.
The 12th percentile is found on the side of the
Normal distribution, so the z-score at the 12th
Use the z-table to answer the question.
percentile will be
The Z-score is
Done
Answer:
The 12th percentile is found on the LEFT side of the Normal distribution, so the z-score at the 12th
Use the z-table to answer the question.
percentile will be NEGATIVE
The Z-score is -1.175
Step-by-step explanation:
Got it right on edge
Answer:
Step-by-step explanation:
The 12th percentile is found on the LEFT of the graph since it is 0.12.
Since it’s on the left, the percentage will be NEGATIVE.
The z-score is -1.175
ITS RIGHT ON EDGE.
I Need help with this
The equation that gives the length of segment CB is given by the equation presented as follows:
C. \(\sqrt{(a - c)^2 + (0 - d)^2}\)
How to obtain the length of a segment?The length of a segment is given by the distance between the two endpoints of the segment.
Suppose that we have two points with coordinates \((x_1,y_1)\) and \((x_2,y_2)\), the distance between these points is given by the equation presented as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The endpoints of segment CB are given as follows:
C(c, d) and B(a,0).
Hence the equation for the distance between these two points, giving the length of the segment, is given as follows:
\(\sqrt{(a - c)^2 + (0 - d)^2}\)
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What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4
The equation of the line in slope-intercept form is y = 3x + 4.
We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.
The formula for the mixture is provided by:
n C r equals n!/r! (n-r)!
where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.
In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:
36 C 24 = 36! / (24! * 12!)
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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A gym membership fee is $24 .Members pay an additional $3 each time they go.Non-members don’t pay the fee , but pay $6 each time they go.How many times would you have to go for the cost to be the same?
Answer:
Step-by-step explanation:
A dilation has center (0,0). Find the image of the point B ( 5/3, -7/2) for the scale factor 1/3
=======================================================
Explanation:
Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.
The coordinates of point B are x = 5/3 and y = -7/2
So we have
(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate
and
(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate
The point (5/3, -7/2) moves to (5/9, -7/6)
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
Which option is an even function?
The correct answer is option D. Which is the even function is f (x) = x⁴.
What is an even function?The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
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the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
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Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
What is the measure of X , in degrees? HELPP!
Answer:
86°
Step-by-step explanation:
The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.