Answer:
A
Step-by-step explanation:
Using the Pythagorean Theorem, you can find that the length of the final leg is:
[tex]\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]
Therefore, the answer is A. Hope this helps!
The graph of the invertible function f is shown on the grid below.
What is the value of f -1(6)?
We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of [tex]y=f(x)[/tex].
We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.
So to find inverse of a function we need to switch all x and y values.
We can see that [tex]f(4)=6[/tex], so to to find value of [tex]f^{-1}(6)[/tex], we have to switch x and y values.
After switching x and y values, we will get:
[tex]f^{-1}(6)=4[/tex]
Therefore, [tex]f^{-1}(6)=4[/tex].
Answer:
4
Step-by-step explanation:
-3b+7=13 solve for b
Answer:
b =-2
Step-by-step explanation:
-3b+7=13
Subtract 7 from each side
-3b+7-7=13-7
-3b = 6
Divide each side by -3
-3b/-3 = 6/-3
b = -2
Answer:
b=-2
Step-by-step explanation:
-3b+7=13
-7 -7
-3b=6
/-3 /-3
b=-2
A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student
Answer:
a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.
Which is a solution of the system of equations shown?
A. (−4, 0)
B. (2, −4)
C. (0, −2)
D. (2, 0)
Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
What is 9/40 as a percentage
Answer:
22.5%
Step-by-step explanation:
Let the process of getting through undergraduate school be a homogeneous Markov process with time unit one year. The states are Freshman, Sophomore, Junior, Senior, Graduated, and Dropout. Your class (Freshman through Graduated) can only stay the same or increase by one step, but you can drop out at any time before graduation. You cannot drop back in. The probability of a Freshman being promoted in a given year is .8; of a Sophomore, .85; of a Junior, .9, and of a Senior graduating is .95. The probability of a Freshman dropping out is .10, of a Sophomore, .07; of a Junior, .04; and of a Senior, .02.
1. Construct the Markov transition matrix for this process.
2. If we were more realistic, and allowed for students dropping back in, this would no
longer be a Markov process. Why not?
3. Construct the Markov transition matrix for what happens to students in four years.
What is the probability that a student who starts out as a Junior will graduate in that
time?
Answer:
sorry dont know
Step-by-step explanation:
If a zero is
then the graph of its function only touches the x-axis at that zero.
Ifa zero is
then the graph of its function crosses the x-axis at that zero.
Answer: The first one is of even multiplicity and the second one is of odd multiplicity.
Answer:
even
odd
Step-by-step explanation:
Sam wants to measure the amount of water in a full bathtub.
Which is the best unit of measurement for Sam to use?
What’s the answer
Probably liters, all the others are too big or too small.
Tell whether the events are DEPENDENT or INDEPENDENT.
You roll number cube and select a card from a standard deck of cards.
Event A: You roll a 3.
Event B: You select a face card.
Answer:
event A is dependent on event B since roll 3 will result if you select a face card
Which of the following relations represents y as a function of x?
A. {(2,2), (2,3), (2,4), (2,5)}
B. {(0,1), (-7,1), (0,6), (8,1)}
C. {(2,6), (3,6), (5,-2), (3,8)}
D. {(1,2), (2,3), (5,3), (7,9)}
Answer:
The correct answer is D
Step-by-step explanation:
In a function, none of the x values in the set can be repeating. D is the only option that meets this requirement.
David is preparing a report to show
Answer:
cool?
who's david den
Step-by-step explanation:
Answer:
He shoud use a table or chart.
Step-by-step explanation:
I answered this question before
If now Kate is three times as old as Jan, and 6 years ago she was six times as old as he was, how old are they now? I will only accept the right answers.
Answer:
Kate's age now is 30 years old and Jan's age now is 10 years old.
Step-by-step explanation:
Kate age now is 3x
Jan age now is x
3x-6=6*(x-6)
3x-6=6x-36
-3x -3x
-6=3x-36
+36 +36
30=3x
10=x
x=10
3x=30
Kate's age now is 30 years old and Jan's age now is 10 years old.
What is the value of LaTeX: 4^{-3}
4
−
3
?
Answer:
1/64
Step-by-step explanation:
[tex]4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot 4\cdot 4}=\boxed{\dfrac{1}{64}}[/tex]
Answer:
13
Step-by-step explanation:
=4^-3 . 4 - 3
= 4^-3+1 -3
= 4^-2 -3
= 16-3
= 13
joe paid 14.00 for a broard game. THis is 70% of the orginal price. What was the orginal price?
Answer:
20.00
Step-by-step explanation:
14 is 70% of X
70/100 × X = 14
X = 14 × 100/70
X = 20.00
Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 2 is congruent to angle 4, angle 3 is congruent to angle 5 Angle 1 is congruent to angle 5, angle 2 is congruent to angle 4, angle 3 is congruent to angle 6 Angle 6 is congruent to angle 2, angle 5 is congruent to angle 4, angle 1 is congruent to angle 3 Angle 6 is congruent to angle 1, angle 3 is congruent to angle 2, angle 4 is congruent to angle 5
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
And
Angle 3 is congruent to 6 (vertical angles)
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
Angle 3 is congruent to 6 (vertical angles)
Step-by-step explanation:
Many demographers predict that the United States will have zero population growth in the coming decades, in contrast to the historical average population growth of about 1 percent per year. Use the Solow model to forecast the effect of this slowdown in population growth on the growth of total output and the growth of output per person. Consider the effects both in the steady state and in the transition between steady states.
Answer:
Check the explanation
Step-by-step explanation:
Other things being constant, a slowdown in population growth will lead to an increase in the availability of capital per worker and output per worker.
At the steady state, output per worker will grow at the rate of g while. Thus, steady state per person output growth will be same, however total output will increase at the rate n+g.
In case of transition between steady states, during the transition phase, output per worker will grow at a rate greater than g. Overtime in the long run with a fall in population growth, total output will fall while output per worker will increase.
Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
Answer:
1.5x+4
Step-by-step explanation:
Step-by-step explanation:
Step 1: Distribute
[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]
[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]
[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]
Step 2: Combine like terms
[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]
[tex]1.5x + 4[/tex]
Answer: [tex]1.5x + 4[/tex]
i need help with this problem x/56=7/8 Thank you
[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!
Answer:
22
Step-by-step explanation:
=x(x+22)
Answer:
The answer is 22
A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of 205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?
Answer: 34.65 miles at an angle of 325.39°
Step-by-step explanation:
Ok, the initial position is (0,0)
Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:
p = (30*cos(120°), 30*sin(120°))
Then she travels another 15 miles at an angle of 205°, the new position is:
p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))
p = (-28.59 , 19.64)
If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)
this means that:
X*cos(Y) = -(-28.59) = 28.59
X*sin(Y) = -19.64
Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)
X*(sin(Y))/(X*cos(Y)) = -19.64/28.59
Tg(Y) = -0.69
Y = ATg(-0.69) = -34.61°
If we use only positive angles, this angle is equivalent to:
360° - 34.61° = 325.39°
now lets find the distance:
Xcos(325.39°) = 28.59
X = 28.59/cos(325.39°) = 34.65 miles.
Identify two ways that native Americans resisted being relocated
Answer:
Tortured and kidnapped white colonists, and some started wars.
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.
Thus, the number of biscuits she should give to each of her poodles is,
Number of biscuits each poodle gets
= Number of biscuits / Number of poodles
= 131 / 4
= 32.75
Hence, the number of biscuits that each of the four poodles will get is 32.75.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem
Answer:
Step-by-step explanation:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
Answer:1.225km is equal to each laps
Step-by-step explanation:
Help timed test! At which root does the graph...
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
If r(x) = 3x -1 and s(x) = 2x + 1, which is equivalent to [r/s] (6)?
[tex]\text{Solve by turning it into a fraction and plugging in the value to x:}\\\\\frac{3x-1}{2x+1}\\\\\frac{3(6)-1}{2(6)+1}\\\\\frac{18-1}{12+1}\\\\\frac{17}{13}\\\\\text{You can't simplify the fraction any further, in which it'll conclude your answer}\\\\\boxed{\frac{17}{13}}[/tex]
Please Help Now!!!!!!!!!!!!!
Answer:
94
Step-by-step explanation:the sum of thereprobablityin fraction is
1/9+5/6=2+15/18 {{takin LCM OF 6 and 9}
=17/18
probablity in percentage =17/18×100
=94%
hope this helps
plz mark me brainliest
Answer:
95
Step-by-step explanation:
What Is the product of the polynomials below? (7x^2+2x+4)(2x+5)
Answer:
14x^3+39x^2+18x+20
Step-by-step explanation:
Answer:14x^3+39x^2+18x+20
Step-by-step explanation:
(7x^2+2x+4)(2x+5)
14x^3+35x^2+4x^2+10x+8x+20
Add like terms
14x^3+39x^2+18x+20
The teacher decides that no student can win twice, so she removes the tickets of the first winner before drawing the second winner. What is the probability that she draws Kitzen first and then Ava second? Use a / to represent a fraction bar.
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
What is the volume of this rectangular prism?
Answer:
8/125 = 0.064
Step-by-step explanation:
(2/5)*(2/5)*(2/5)=8/125
Complete the 3 questions for 10 points.
Answer:
Look below.
Sorry if the graph's aren't good.
Step-by-step explanation:
13) I'll attach a pic of my graphs:
Slope intercept form is y = mx + b
y = 2x + 1
m = 2
b = 1
14) y = 3/ 5x - 5
m = 3/5
b = -5
15) y = 1/4x - 8
m = 1/4
b = -8
