Answer:
f −1 (x)= x/2+3
Step-by-step explanation:
Here take y=f(x)
Then y=2x−6
⇒2x=y+6
⇒x= y/2 +3
Now switch x and y in the resulting equation. The resulting function of x is the inverse.
⇒y= x/2 +3
Thus the inverse function is f −1 (x)= x/2+3
The space probe Cassini has engines which
can allow it to travel at 72,000 km/hr.
However, physicists have discovered that by
using a "gravity assist maneuver," the probe
has the ability to increase its speed by 75%.
When using the gravity assist maneuver, how
fast will the space probe travel, in kilometers
per hour?
Answer:
54,000
Step-by-step explanation:
There are 12 red marbles in a bag. The ratio of the total number of marbles in the bag to the number of red marbles in the bag is 5:2. How many marbles are in the bag?
Answer:
30 marbles
Step-by-step explanation:
x = total # marbles
5/2 = x/12
2x = 60
x = 30
plz help me if you can
Answer:
m<GKH + m<HKI = 180; m<HKI + m<IKJ = 180 - Angles forming a linear pair sum to 180
m<GKH + m<HKI = m<HKI + m<IKJ - Subsitution
m<GKH = m<IKJ - Algebra
<GKH ≅ <IKJ - Definition of congruence
Step-by-step explanation:
Angles that form a linear pair are supplementary because together they make a straight line. So, they must sum to 180.
In statement 2, m<HKI + m<IKJ replaces 180 degrees. This is allowed because m<HKI + m<IKJ is equivalent to 180 degrees, so it can be substituted.
In statement 3, m<HKI is subtracted from both sides. This is allowed through the property of equality, which is a part of algebra.
The definition of congruency is that two shapes that are equal are congruent. So if m<GKH = m<IKJ, then they must be congruent as well.
I will mark Brainlyist write a equation for the line shown below
Answer:
5 1/2 and -5 1/2
Step-by-step explanation:
thats just what the arrows point to
Tami rode her bicycle 22.5 miles in 4 hours.Which gives the best estimate of how far Tami rode in 1 hour?
Use the drop-down menus to complete the statements.
A central angle of circle P is angle
The measure of RU is degrees.
Answer:
Step-by-step explanation:
RU=59 degrees
angle = TPQ
Central angle of circle P is a angle equals to 121° and 73°.
The measure of arc RU is 59 degrees
What is circle?" A circle is closed two dimensional shape , whose all points on the surface are equidistant from its center."
Definition of arc measure
"In a circle, the degree measure of an arc is equals to the central angle present in the included arc."
According to the question,
∠TPU and ∠UPR are supplementary angles.
Given , ∠UPR = 59°
Therefore,
∠TPU = 180° - 59°
= 121°
∠TPQ + ∠QPR = 180°
∠QPR = 107°
Therefore ,
∠QPR = 180° - 107°
= 73°
As per the definition of arc measure, we conclude
The measure of arc RU is equals to 59degrees.
Hence, central angle of circle P is a angle equals to 121° and 73° and
measure of arc RU is 59 degrees.
Learn more about circle here
https://brainly.com/question/11833983
#SPJ2
Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 129 University of (California Berkeley undergraduates were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others.
A. Identify the population of interest and the sample in this study.
B. Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
(A) Population: UCB undergraduates
Sample: The selected 129 UCB undergraduates
(B) Yes, they can be generalized to the population
No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.
Step-by-step explanation:
STUDY: Relationship between socio-economic class and unethical behavior.
The bases for determining social class here are: money, education, and respected job.
RESULT: Those who identified as upper class took more candy than others.
(A) Identify the population of interest and the sample, in this study.
The population of interest in this study is UCB undergraduates.
The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.
(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.
The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.
which is bigger -2 1/2 or -2 1/8
: Please give a explanation.
Answer:
-2 1/2 is greater
Step-by-step explanation:
-2 1/2 because a half is bigger than a 8th.
...need help with this ......
.
How do you find the area of a rectangle
Answer:
length x width
Step-by-step explanation:
for example, if a rectangle has a length of 5 and a width of 2 you would multiply 5 and 2 to get the area of 10
area = l x h
5 x 2 = 10 < the answer (10)
How many eighth note are in
a eighth note
[tex]question[/tex]
How many eighth note are in
a eighth note?
Sixteenth Notes
=====================================
The Four eighth notes has a value of half note in the duration.
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞
Four eighth notes= half note
half note=2 beats per second
SO
2X8=16
#CarryOnLearning
Simplify the expression 4x3 2x3
Answer:
onc
Step-by-step explanation:
Line C passes through points (0, 2) and (8,8). What is the slope of a line parallel to line C?
Answer:
below
Step-by-step explanation:
If line C is parallel to another line, they will have the same slope. so calculate the slope first:
8-2/8-0=3/4(simplified)
and thats it
3/4 is 60% of what number?
3/4 is 60% of 45.
[tex] \frac{60}{1} [/tex]
[tex] \frac{3 \times 60}{4 \times 1 } = \frac{180}{4} [/tex]
[tex] \frac{180}{4} = 45 \\ \frac{4}{4} = 1[/tex]
[tex] \frac{45}{1} = 45[/tex]
Answer:
10/8 or 1.25
Step-by-step explanation:
We can write this into an equation to help us understand what we need.
3/4=0.60x
We can make these both into fractions to make it easier.
3/4=6/10x
Divide both sides by 6/10, or multiply both sides by 10/6.
3/4×10/6=30/24=10/8=1.25
10/8=x
A second airline is conducting the same research about its planes, but this company is much bigger and has acquired data for 50 planes. Is a dot plot still beneficial to summarize the data?
Answer:
While it’s possible to create a dot plot using this data, plotting 50 points on a number line is cumbersome. The more data points there are, the more tedious it is to make a dot plot. For this case, it might be better to use a different visual representation.
Step-by-step explanation:
This is the Plato sample answer I would suggest changing it up a little bit
Answer:
While it’s possible to create a dot plot using this data, plotting 50 points on a number line is cumbersome. The more data points there are, the more tedious it is to make a dot plot. For this case, it might be better to use a different visual representation.
Step-by-step explanation:
This is actually the sample answer from plato
A numerator of fraction is 1 less than the denominator.if the numerator is decreased by 2 and denominator is increased by 3, the fraction becomes 1/4.find the fraction
Answer:
9
Step-by-step explanation:
explain more detal ples no get it vry hards
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Answer:
It is C
Step-by-step explanation:
12*50 = 600
12*100= 1,200 then 1,200/2= 600
find the remainder of the following without using module division (2X2-3x +4) /(x-1)
Answer:
??????????????????????
Answer:
remainder is 3
Step-by-step explanation:
(2x^2-3x+4)÷(x-1)
quotient is 2x-1 and with a remainder of 3 using the long division...
Hope this will help
The weekly sales of Honolulu Red Oranges is given by
q = 860 − 20p.
where q is the number of oranges sold at the price p dollars per orange. Find E(p)
E(p) =
Calculate the price elasticity of demand when the price is $38 per orange (yes, $38 per orange†). HINT [See Example 1.]
Interpret your answer.
The demand is going by % per 1% increase in price at that price level.
Use the elasticity to calculate the price that gives a maximum weekly revenue.
dollars per orange
Find this maximum revenue.
dollars of revenue
Answer: See Explanation
Step-by-step explanation:
The price elasticity of demand will be calculated as:
q = 860 − 20p.
dq/do = -20
p = 38
Elasticity E(p) = (p/q) × dq/dp
= [38 /(860 - 20p)] × (20)
=38 × 20/(860 - 760)
= 7.6
Therefore, the price elasticity of demand when the price is $38 per orange is 7.6
Revenue = price × quantity
= p × q
= p × (860 − 20p)
= 860p - 20p²
Differentiating with respect to p
= 860 - 40p
40p = 860
p = 860/40
p = 21.50
Maximum Revenue = 860p - 20p²
= 860(21.50) - 20(21.50)²
= 18490 - 9245
= 9245
21 females to 51 males simplified
Answer:
17/7
Step-by-step explanation:
happy to help ya :)
Find the equation of a line perpendicular to y=-3x-1 that contains the point (-1,1). Write the equation in slope intercept form.
Answer:
y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
y = -3x - 1
1. Perpendicular line needs the opposite (reciprocal) of the slope.
reciprocal of -3 is -1/3, slope 1/3. y = 1/3x + b
2. Now find the b (y-intercept). 1 = 1/3(-1) + b
1 = -1/3 + b
+ 1/3 +1/3
1 1/3 = b
3. Answer y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]
Please help me
Tell me where to share the parts and tell me the most specific name for each triangle.
Don’t answer with a blank answer or one answer and no ridiculous answer please this is serious
Answer:
1) obtuse triangle
2) equilateral triangle
3) isosceles triangle
4) equilateral triangle
5) scalene triangle
6) acute triangle
7) right triangle
8) obtuse triangle
9) acute triangle
Find the slope of the line parallel to the line with the given information:
x + y = 4
Answer:
Slope: -1
Step-by-step explanation:
Isolate y to one side to match the formula y = mx + b where m is the slope and b is the y-intercept.
y = -x + 4
Slope: -1/1
y-intercept: 4
Answer:
the slope is 4/4 which give u 1
Step-by-step explanation: at least it think so
Find the measure of angle 7
A. 65
B. 35
C.80
Answer:
I'll just do the entire thing since it's 13 points
1. 35
2. 45
3. 45
4. 65
5. 115
6. 65
7. 80
8. 35
9. 145
Answer: Answer would be C.80
Need hep with these questions brainlest and 20 points
Answer:
w
Step-by-step explanation:
because the order says
ABCD
WXYZ
Jose has saved $135 towards the purchase of a PlayStation 5. The total cost of the PS5 is $499. How much more money does Jose need to save?
Write an addition equation and solve.
Answer:
Let x be how much more money Jose needs to save.
135 + x = 499
x = 364
Jose needs to save 364 more dollars.
Let me know if this helps!
Answer:
364*
Step-by-step explanation:
499-135=314
364+ 135=499
I put 449 instead of 499 so now i feel foolish. But that's okayy.
Construct the relative frequency distribution that corresponds to the given frequency distribution. incomesfrequencies 200-30069 301-40073 401-50081 501-60065 >60016 Group of answer choices
Answer:
Step-by-step explanation:
Given the data:
income ____frequencies ___ relative frequency
200-300_____69 __________ 0.227
301-400_____ 73 __________0.240
401-500_____ 81 __________ 0.266
501-600_____65 __________ 0.214
>600_______ 16 __________ 0.053
Total frequency :
(69 + 73 + 81 + 65 + 16) = 304
If a rectangle measures 6 meters by 8 meters, what is the length, in meters of the diagonal of the rectangle?
3/4 + 1/3x = 6 Solve for x
[tex] \frac{3}{4} + \frac{1}{3}x = 6 [/tex]
Multiply both sides of the equation by 12
[tex]9 + 4x = 72[/tex]
Move constact to the right-hand side and chancge it's sign.
[tex]4x = 72 - 9[/tex]
Subtranct the numbers
[tex]4x = 63[/tex]
Divide both sides the equation by 4
Solution:
[tex]x = \frac{63}{4} [/tex]
Alternate Form:
[tex]x = 15 \frac{3}{4} x = 15.75[/tex]
3. Kara joins a movie club. She receives 8 free DVDs when she joins. She must buy 2 DVDs a month.
What is the minimum number of DVDs she buys if she is in the club for one year?
Write an equation that represents the minimum number of DVDs y that Kara buys after x months.
If Kara plans to leave the club after buying 50 DVDs, how many months will she be a member?
Answer:
Answer to part one of the problem = 24 DVD's
Answer to part two of the problem = 2 · x = y
Answer to part three of the problem = 25 months
Step-by-step explanation:
Part 1:
She buys 2 DVD's a month and there are 12 months in a year.
2 x 12 = 24
The minimum amount of DVD's she buys if she is in the club for one year is 24 DVD's
Part 2:
y = minimum number of DVD's bought after x years
x = amount of months
so the equation would look like this:
2 · x = y
Part 3:
If she sticks to the minimum of buying 2 DVD's a month then we can create this equation:
50 / 2 = 25
she will be a member for 25 months or 2 years and 1 month.