Answers
Answer:
Domain: [-3, 5]
Range: [-5, 4]
Step-by-step explanation:
The first thing is to define what is the domain and the range. The domain of a function f (x) is the set of all the values for which the function is defined, and the range of the function is the set of all the values that f takes.
In other words, the domain is the value on the "x" axis and the range is the value on the "y" axis.
In this case, both are an interval, the domain would be from -3 to 5 and in the case of the range it would be from -5 to 4.
Domain: [-3, 5]
Range: [-5, 4]
Related Questions
Capicúa que se obtiene sumando 700 al numero que distingue a un famoso agente secreto
Answers
Answer:
El capicúa es 707.
Step-by-step explanation:
(The following exercise is presented in Spanish and for such reason explanation will be held in that language).
Un capicúa es un número que se lee de la misma manera tanto de derecha a izquierda como de izquierda a derecha. En este caso, el capicúa mencionado en el enunciado es el siguiente:
[tex]x = 700 + 007[/tex]
[tex]x = 707[/tex]
El capicúa es 707.
Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 4 right angle0,−4 in the directions parallel to and normal to the plane that makes an angle of StartFraction pi Over 3 EndFraction π 3 with the positive x-axis. Show that the total force is the sum of the two component forces.
Answers
Answer:
[tex]F_p = < - \sqrt{3} , -3 >\\\\F_o = < \sqrt{3} , -1 >[/tex]
Step-by-step explanation:
- A plane is oriented in a Cartesian coordinate system such that it makes an angle of ( π / 3 ) with the positive x - axis.
- A force ( F ) is directed along the y-axis as a vector < 0 , - 4 >
- We are to determine the the components of force ( F ) parallel and normal to the defined plane.
- We will denote two unit vectors: ( [tex]u_p[/tex] ) parallel to plane and ( [tex]u_o[/tex] ) orthogonal to the defined plane. We will define the two unit vectors in ( x - y ) plane as follows:
- The unit vector ( [tex]u_p[/tex] ) parallel to the defined plane makes an angle of ( 30° ) with the positive y-axis and an angle of ( π / 3 = 60° ) with the x-axis. We will find the projection of the vector onto the x and y axes as follows:
[tex]u_o[/tex] = < cos ( 60° ) , cos ( 30° ) >
[tex]u_o = < \frac{1}{2} , \frac{\sqrt{3} }{2} >[/tex]
- Similarly, the unit vector ( [tex]u_o[/tex] ) orthogonal to plane makes an angle of ( π / 3 ) with the positive x - axis and angle of ( π / 6 ) with the y-axis in negative direction. We will find the projection of the vector onto the x and y axes as follows:
[tex]u_p = < cos ( \frac{\pi }{6} ) , - cos ( \frac{\pi }{3} ) >\\\\u_p = < \frac{\sqrt{3} }{2} , -\frac{1}{2} >\\[/tex]
- To find the projection of force ( F ) along and normal to the plane we will apply the dot product formulation:
- The Force vector parallel to the plane ( [tex]F_p[/tex] ) would be:
[tex]F_p = u_p(F . u_p)\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ < 0 , - 4 > . < \frac{1}{2} , \frac{\sqrt{3} }{2} > ]\\\\F_p = < \frac{1}{2} , \frac{\sqrt{3} }{2} > [ -2\sqrt{3} ]\\\\F_p = < -\sqrt{3} , -3 >\\[/tex]
- Similarly, to find the projection of force ( [tex]F_o[/tex] ) normal to the plane we again employ the dot product formulation with normal unit vector ( [tex]u_o[/tex] ) as follows:
[tex]F_o = u_o ( F . u_o )\\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ < 0 , - 4 > . < \frac{\sqrt{3} }{2} , - \frac{1}{2} > ] \\\\F_o = < \frac{\sqrt{3} }{2} , - \frac{1}{2} > [ 2 ] \\\\F_o = < \sqrt{3} , - 1 >[/tex]
- To prove that the projected forces ( [tex]F_o[/tex] ) and ( [tex]F_p[/tex] ) are correct we will apply the vector summation of the two orthogonal vector which must equal to the original vector < 0 , - 4 >
[tex]F = F_o + F_p\\\\< 0 , - 4 > = < \sqrt{3}, -1 > + < -\sqrt{3}, -3 > \\\\< 0 , - 4 > = < \sqrt{3} - \sqrt{3} , -1 - 3 > \\\\< 0 , - 4 > = < 0 , - 4 >[/tex] .. proven
Which of the following is an arithmetic sequence?
Answers
Answer:
The answer is D
Step-by-step explanation:
D is the answer because they have a common difference
The rest do not have common difference
There are 15,000 students attending the community college. Find the percent of a students that attend classes in the evening if there are 3,750 evening students
Answers
Answer:
25% of students attend classes in the evening.
Step-by-step explanation:
The proportion of evening students is the number of evening students divided by the total number of students.
The percentage is the proportion multiplied by 100.
We have that:
In total, there are 15000 students.
3750 are evening students
3750/15000 = 0.25
0.25*100 = 25%
25% of students attend classes in the evening.
Find the distance between the points (-5, 0) and (-4, 1).
Answers
Answer:
√2
Step-by-step explanation:
(-5, 0) and (-4, 1)
[tex]d=\sqrt{(x_{2}-x_{1} )^{2}+ {(y_{2}-y_{1} )^{2}}}[/tex]
[tex]d= \sqrt{(-4-(-5))^{2} + (1-0)^{2}} =\sqrt{1+1} =\sqrt{2}[/tex]
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400. a. 84% b. 16%
Answers
Answer:
b. 16%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 500
Standard deviation = 100
Percentage of students who scored less than 400:
400 = 500 - 1*100
So 400 is one standard deviation below the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Of those who are below, 68% are within 1 standard deviation of the mean, that is, between 400 and 500. So 100-68 = 32% are below 400.
0.5*0.32 = 0.16 = 16%
So the correct answer is:
b. 16%
35.76 and 35.8 and make the inequality 35.76<________<35.8 a true statement?
Answers
Corrected Question
Find a number in between 35.76 and 35.8 and make the inequality 35.76<________<35.8 a true statement?
Answer:
One example is 35.77
Step-by-step explanation:
Given the numbers 35.76 and 35.8
To make the inequality [tex]35.76< x <35.8[/tex] a true statement, we look for a value of x such that:
[tex]x>35.76; and\\x<35.8\\$Let x=35.77\\Cearly:$\\35.77 > 35.76;$ and$\\35.77<35.8[/tex]
Therefore:
[tex]35.76< 35.77 <35.8[/tex] is a true statement.
Rectangle has a width 9 of units and a length of 40 unit is.what is the length of a diagonal?
Answers
Answer:
[tex]\boxed{\sf \ \ \ diagonal \ length \ = \ 41 \ \ \ }[/tex]
Step-by-step explanation:
Thanks to Pythagoras we can say that
l being the length of the diagonal
[tex]l =\sqrt{9^2+40^2}=\sqrt{81+1600}=\sqrt{1681}=41[/tex]
Last week Malia spent $13,000 on advertising. This week, she plans to spend three times as much. Next week, she wants to spend 60% of what she spent the previous two weeks. How much should she plan to spend on advertising next week?
Answers
Answer:
31200 dollars
Step-by-step explanation:
you multiply 13 by 4, because its last week and this week, then find 60 percent of that. Proportion: x/52000=60/100. When solved, it is $31200
The solution is, $31200 should she plan to spend on advertising next week.
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
Last week Malia spent $13,000 on advertising.
This week, she plans to spend three times as much.
Next week, she wants to spend 60% of what she spent the previous two weeks.
now, we have,
you multiply 13000 by 4,
i.e. 13000 *4 = 52000
because its last week and this week,
then find 60 percent of that.
let, she plan to spend on advertising next week is x .
Proportion:
x/52000=60/100.
When solved, it is $31200.
Hence, The solution is, $31200 should she plan to spend on advertising next week.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ6
10.
1
(1 point)
Which graph represents the linear function y=-x-4?
3
Answers
Answer:
Step-by-step explanation:
here are some of the graph points:
(-2,-2)
(-1,-3)
(0,-4)
(1,-5)
(2,-6)
(3,-7)
(4,-8)
The graph should have a negative slope and the slope should be -1, and the y-intercept should be -4. The pic you put is not the correct graph.
help me please
i will give you 5 stars and brainliest
Answers
Answer:
228incubed
Step-by-step explanation:
Area of prism is area of cross section x length.
So, área of trapezium is a plus b times h divided by 2.
Times that by height. Gives you 228
What is the value of y
Answers
Answer:
B 63 degrees
Step-by-step explanation:
180 - 54 = 126
126 / 2 = 63
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected. The following hypotheses were tested: H0: µ1 = µ2 Ha: μ1 > μ2 Analyses were run. The following is the (edited) output for the test: Which of the following is an appropriate conclusion based on the output?1. The data provide sufficient evidence to reject H0; thus, we can conclude that the mean point spread for home games is higher than that of away games.2. The data provide sufficient evidence reject the H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.3. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.4. The data do not provide sufficient evidence reject the H0; thus, we can conclude that the mean point spread for home games is higher than that of away games.
Answers
Answer:
Option 3 is correct.
The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.
Step-by-step explanation:
Before anything else, we first give the null and alternative hypothesis for this question.
Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.
H0: µ1 = µ2
And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.
Ha: μ1 > μ2
The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.
The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.
When the significance level for a test isn't provided, the convention is usually to use 5% significance.
Interpretation of p-value
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.4351
0.4351 > 0.05
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.
Hope this Helps!!!
What is the value of x in the equation 2 (x + 3) = 4 (x minus 1)?
1
2
3
5
Answers
Answer:
5
Step-by-step explanation:
distribute: 2x+6 = 4x-4
subtract 2x from both sides: 6 = 2x-4
add 4 to both sides: 10 = 2x
divide both sides by 2: 5 = x
x = 5
Answer:
D
(5)
Step-by-step explanation:
Edge2020
Use technology to solve the following problem: The mean annual income for people in a certain city (in thousands of dollars) is 44, with a standard deviation of 35. A pollster draws a sample of 59 people to interview. What is the probability that the sample mean income is between 42 and 48 (thousands of dollars)?
Answers
Answer:
[tex] P(42 < \bar X <48)[/tex]
And we can use the z score formula given by:
[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we find the z scores for the limits of the interval we got:
[tex] z= \frac{42-44}{\frac{35}{\sqrt{59}}}= -0.4[/tex]
[tex] z= \frac{48-44}{\frac{35}{\sqrt{59}}}= 0.878[/tex]
And we want to find this probability:
[tex] P(-0.4<z<0.878)[/tex]
And we can use the foolowing excel command and we got:
=NORM.DIST(0.878;0;1;TRUE)-NORM.DIST(-0.4;0;1;TRUE)
And we got:
[tex] P(-0.4<z<0.878)=0.4655[/tex]
Step-by-step explanation:
For this case we know the following parameters:
[tex] \mu = 44 ,\sigma =35[/tex]
We select a sample size of n =59. So then the sample size is large enough to use the central limit theorem and the distribution for the sample mean is given by:
[tex] \bar X \sim N(\mu \frac{\sigma}{\sqrt{n}})[/tex]
We want to find the following probability:
[tex] P(42 < \bar X <48)[/tex]
And we can use the z score formula given by:
[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we find the z scores for the limits of the interval we got:
[tex] z= \frac{42-44}{\frac{35}{\sqrt{59}}}= -0.4[/tex]
[tex] z= \frac{48-44}{\frac{35}{\sqrt{59}}}= 0.878[/tex]
And we want to find this probability:
[tex] P(-0.4<z<0.878)[/tex]
And we can use the foolowing excel command and we got:
=NORM.DIST(0.878;0;1;TRUE)-NORM.DIST(-0.4;0;1;TRUE)
And we got:
[tex] P(-0.4<z<0.878)=0.4655[/tex]
What evidence from Tutankhamen's tomb supports the theory that he had a genetic disease that made it difficult for
him to walk? Check all that apply.
please help
Answers
Answer:
the first and the second answer
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
This is correct believe me it is.
From a sample of 25 graduate students, the mean number of months of work experience prior to entering an MBA program was 33.59. The national standard deviation is known to be 19 months. What is a 90% confidence interval for the population mean?
Answers
Answer:
The 90% confidence interval for the population mean is between 27.34 months and 39.84 months.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645*\frac{19}{\sqrt{25}} = 6.25[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 33.59 - 6.25 = 27.34 months
The upper end of the interval is the sample mean added to M. So it is 33.59 + 6.25 = 39.84 months
The 90% confidence interval for the population mean is between 27.34 months and 39.84 months.
A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 miles upstream. Find the speed (in mph) of the current in the river.
Answers
Answer:
The speed of the current is 3 mph.
Step-by-step explanation:
The speed of he boat in calm water is "18 mph", the speed of the stream is "x" mph. When the boat is going downstream its speed is "x + 18", while when it goes upstream it will be "18-x". The time it takes for the boat to travel 21 miles downstream is:
[tex]time = \frac{21}{x + 18}[/tex]
While the time it takes the boat to travel 15 miles upstream:
[tex]time = \frac{15}{18 - x}[/tex]
Since the times are the same, we can make:
[tex]\frac{21}{x + 18} = \frac{15}{18 -x}\\378 - 21x = 15x + 270\\21x + 15x = 378 - 270\\36x = 108\\x = 3 \text{ mph}[/tex]
The speed of the current is 3 mph.
Answer: The current of the water is 1.714 mph.
The temperature of the cofffe depends on the number of minutes it sits on the desk.
Answers
Answer: c(m),coffee=minutes
Step-by-step explanation:
I hope this answers your question
What’s the correct answer for this?
Answers
Answer:
0.7 + 0.4 - 0.2 = 0.9
Step-by-step explanation:
Let's denote the probabilities as following:
The probability that the show had animals is
P(A) = 0.7
The probability that the show aired more than 10 times is
P(B) = 0.4
The probability that the show had animals and aired more than 10 times is
P(A⋂B) = 0.2
The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)
The correct form of addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:
P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9
=> Option B is correct
Hope this helps!
What’s the correct answer for this question?
Answers
Answer: choice D
Step-by-step explanation:
The question asks for the probability that the chose card is a king or a queen.
and we have 8 cards that are a either a king or a queen
so
8/52=2/13
or you can think of it in the additive way(most of the time addition is required when you have “or” and multiplication when you have “and”)
4/52+4/52=2/13
If the points (-1, 1), (3,-2), and (q,4) are collinear, the value of q is
Answers
Answer:
q = -5
Step-by-step explanation:
For A the midpoint between B and C, we have ...
A = (B+C)/2
C = 2A -B
Point A(-1, 1) is the midpoint* between C(q, 4) and B(3, -2), so the point (q, 4) will be ...
(q, 4) = 2A -B
(q, 4) = 2(-1, 1) -(3, -2) = (2(-1)-3), 1(1)+2)
(q, 4) = (-5, 4)
q = -5
_____
* We know A is the midpoint because we observe the differences in y-values for C-A and A-B are ... 4 -1 = 3, and 1 -(-2) = 3. That is, points C and B are the same distance from A.
Please help photo attached
Answers
Answer:
see below
Step-by-step explanation:
You can determine the correct function by looking at the function and graph values at x = 1.
For some constant k, the function is ...
(g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x
For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...
(g·h)(1) = 6
-k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1
k = -2 . . . . . . . . . divide by -3
The function h(x) is ...
h(x) = -2x
what is the volume please help.
Answers
Answer:
120yd cube
Step-by-step explanation:
Y= 3x^2 + 12x + 7 in vertex form
Answers
Answer:
y=3(x+2)^2-5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
eifufjdbeiixjfbdbsisifbfbfbidid
Factor completely. 640-10x^2
Answers
Answer:
10 (8-x)(8+x)
Step-by-step explanation:
640-10x^2
Factor out 10
10 (64 - x^2)
Notice that inside the parentheses is the difference of squares
10 ( 8^2 - x^2) and a^2 - b^2 = (a-b) (a+b)
10 (8-x)(8+x)
Answer:
10(8 - x)(8 + x)
Step-by-step explanation:
Given
640 - 10x^2
Solution
Take out 10 on each side of the minus sign
10(64 - x^2)
The expression in the brackets is a difference of squares which factors as
a^2 - b^2 = (a + b)(a - b)
Factor the expression inside the brackets as a difference of squares.
64 = 8*8
x^2 = x*x
10(8 - x)(8 + x)
A plumber laying 500meters of drain pipe requires 20men working for 10days. What length in meters would be laid by 50men in 5days, if they all work at same rate?
Answers
Answer:
50men working in 5days will lay 100 meters
Step-by-step explanation:
If 20men working for 10days lays 500meters
then, 1 man will lay 10,000 meters in 10 days
also, 1 man will lay 1000 meters in 1 day
If 1 man lays 1000 meters in 1 day,
Then, 50 men will lay (1000 meters / 50 ); 20 meters in 1 day
also, the same 50 men will lay (20 meters x 5days); 100 meters in 5 days.
Therefore, 50men working in 5days will lay 100 meters
A population has the following characteristics. (a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 6 the second year, and 3 the third year. The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year
Answers
Answer:
At the end of year 1,
The first age class has 2112 members.
The second age class has 44 members.
The third age class has 132 members.
Step-by-step explanation:
There are currently
176 members in age class 0
176 members in age class 1
176 members in age class 2
They all die off by age class 3
Starting with the members of age class 0. They produce 3 offsprings each during the first year, leading to 3×176 = 528 new members of age class 0 as at the end of the first year.
Then, of the 176 members of age class 0, only 25% make it to the next age class after a year, that is, only 44 of them.
So, from this group, after a year, age class 0 has 528 members, and age class 1 has 44 members.
Age class 1 group now. Population at the start = 176
They produce 6 offsprings each during that 1 year, that is, 6×176 = 1,056 new members of age class 0 at the end of that year.
Then, the survival rate for those in their second year of living is 75%, hence, 132 of them make it to the next age class.
So, from this group, after a year, age class 0 has 1056 members, and age class 2 has 132 members.
Age class 2 group now. Population at the start = 176
They produce 3 offsprings each during that 1 year, that is, 3×176 = 528 new members of age class 0 at the end of that year.
Then, the survival rate for those in their third year of living is 0%, hence, none of them make it to the next age class.
So, from this group, after a year, age class 0 has 528 members, and they all die off at the end of that 1 year.
So, we now calculate the number of members of each age class now at the end of that 1 year.
Age class 0 = 528 + 1056 + 528 = 2112 members
Age class 1 = 44 members
Age class 2 = 132 members.
Hope this Helps!!!
f(x)=6x-4 what is f(x)whence=8
Answers
Answer:
44
Step-by-step explanation:
Put 8 where x is and do the arithmetic.
f(8) = 6·8 -4 = 48 -4
f(8) = 44
The answer of this problem because I am currently having trouble with this topic and teach me how to solve it thanks!