Answer:
15,625
Step-by-step explanation:
If f(x) = 5x then f ¹ you must label all numbers in the equation to make it easier, once done you will have 25(5¹)=125¹
125x125=15,625
The inverse function of the given function is x/5.
What is inverse function?Inverse function is represented by f⁻¹ with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Given that, f(x)=5x
Now, y=5x
Replace x by y and y by x, we get
x=5y
y=x/5
and f⁻¹(x)=x/5
Therefore, the inverse function of the given function is x/5.
Learn more about the inverse function here:
https://brainly.com/question/2883051.
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Interior and Exterior Triangle Angles (0/5)
Please full explanation
I will mark brainlist to whoever answers first
Answer:
∠R = 69Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x -11 - 3 + 18 = 180
Combine like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
∠R = 5x - 11
= 5*16 - 11
= 80 - 11
= 69
Apply angle sum property
5x-11+3x-3+3x+18=18011x+4=18011x=176x=16m<R
5(16)-1180-1169°solve this system equation
y= 3x
2y+x=14
Step-by-step explanation:
When y = 3x then 2(3x) + x =14
6x + x = 14
7x=14
x=2 in sub eq 1
y=3(2)=6
somebody please help me with this question!
Answers:
P(A) = 7/12
P(B) = 1/2
=====================================================
Explanation:
To see how I calculated P(A), check out this link to this very similar question
https://brainly.com/question/27669586
--------------------
Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
1 copy of "2"3 copies of "4"5 copies of "6"5 copies of "8"3 copies of "10"1 copy of 12Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
An Air Force plane flew to the
maintenance facility and back. It took one
hour longer to go there than it did to come
back. The average speed on the trip there
was 256 km/h. The average speed on the
way back was 320 km/h. How many
hours did the trip there take?
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
Time (trip) = t + 1 = 4 + 1 = 5 hours
_X 11 = 99 what is the missing number ?
Answer:
missing number its 9
Step-by-step explanation:
Ti find the answer you divide 99 by 11 and you find your answer
Please help I have no idea what I am doing
Answer:
16 more games
Step-by-step explanation:
4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get
16
Without using a calculator, determine the value of: sin 60° x tan30° sec45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I've used 'unit triangles' to calculate various trig values without a calculator at all!
Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.
I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.
Please give comments if you need further explanation from me!
Best of luck, Kenny!
Yusof poured some of the lemonade from a jug equally into 16 cups
and had 200 ml of lemonade left. Each cup contained 354 ml of
lemonade. How much lemonade did he make in millilitres?
Answer:
36
Step-by-step explanation:
You multiply354 and 16 then divide
The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
the force on a sail with area an area of 500 ft2 is 64. 8 pounds when the wind speed is 18 mph. what
would be the force for a sail with an area of 250 ft? with a wind speed of 35 mph.
how would you solve this problem? what would your answer be?
response:
Answer:
122.5 lbs
Step-by-step explanation:
The relation between force, wind speed, and area can be written ...
f = ks²a
for some wind speed s and area a.
__
The constant of proportionality, k, can be found from the given data.
64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph
k = 64.8/(324×500) = 0.0004
__
Using the equation with the second set of data, we have ...
f = 0.0004(35²)(250) = 122.5 . . . . pounds
The force on the 250 square foot sail would be 122.5 pounds.
QUICK PLEEEASEEEEEEEEE
Answer:
c) 2
Step-by-step explanation:
By definition The mode is the most repeated number in the data-set.
Katie wants to collect over seashells. She already has seashells in her collection. Each day, she finds more seashells on the beach. Katie can use fractions of days to find seashells. 100 34 12
A function is graphed on a coordinate grid. as the domain values approach infinity, the range values approach infinity. as the domain values approach negative infinity, the range values approach infinity. to which family of functions might the described function belong?
From the description of the function as we can see in the question, the function is a quadratic function.
What is a quadratic function?The term quadratic function refers to a type of function that is obtained from the equation ax^2+ bx + c =0.
A function in which as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach infinity is a quadratic function.
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What is the slope of the graph?
Answer:
-x
The slope-intercept equation is y = -x + 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The slope is 1 because it goes 2 units down and then 2 units right. So 2 divided by 2 = 1 as slope.
Find the perimeter of the polygon round your answer to the nearest tenth.
Answers
A 37
B 38
C 39
D 40
2 similar rectangular pyramids have a similarity ratio of 4:5. What is the ratio of their volumes? Put your answer in the form a:b
Answer:
64:125
Step-by-step explanation:
When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25
By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125
A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?
Answer:
p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)
Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?
The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
How to determine the remaining dimensions?The given parameters are:
Wood = 1.5 cm by 30 cm
Each cut = .15 mm by 4 mm
Steps = 21
The remaining dimension is calculated as:
Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm
Express mm as cm
Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm
Evaluate the difference
Remaining = 1.185 cm by 21.6 cm
Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
Read more about dimensions at:
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A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)
Answer:
1ft 7.7in/1.64 ft
Step-by-step explanation:
50/2.54=19.69in
12in=1ft
so 1ft 7.7in
19.69/12=1.64
i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!
Q8- what's the S.S of the inequality: x² + 4 > 2
a) R
b) ∅
c) R-
d) R+
Q9- if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be GREATLY appreciated, thank you again T^T
Answer:
Answer b of the first one
answer of q9
Step-by-step explanation:
(x+iy)(2−3i)=4+i
2x−(3x)i+(2y)i−3yi
2
=4+i
Real
2x+3y
+
Imaginary
(2y−3x)
i=4+i
Comparing the real & imaginary parts,
2x+3y=4--------------------------(1)
2y−3x=1----------------------------(2)
Solving eq(1) & eq(2),
4x+6y=8
−9x+6y=3
13x=5⇒x=
13
5
y=
13
14
∴(x,y)=(
13
5
,
13
14
)
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SIMILAR QUESTIONS
star-struck
If e
x+iy
=α+iβ, then x+iy is called logarithm of α+iβ to the base e.∴log
e
(x+iy)=log
e
(re
iθ
) =log
e
r+iθ where r is modulus value of x+iy & θ be the argument of x+iy If i
α+iβ)
=α+iβ, then α
2
+β
2
equals
Hard
View solution
>
The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to
Answer:
Q8. a. IR
Q9. b. -4
Step-by-step explanation:
Q8- what's the S.S of the inequality: x² + 4 > 2
x² + 4 > 2
⇔ x² > 2 - 4
⇔ x² > -2
Then the set of solutions is all real numbers because x² is always a positive number which means for all real numbers x² > -2.
……………………………………………………………………………
Q9- if x + yi = (1 + i)⁴ , then
x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4
(Just remember that (1 + i)² = 2i )
“will give brainliest”
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answer:
Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
Step-by-step explanation:
The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].
Part A:
The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B:
To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
hope this helped! :)
[tex]10/7 + 2/20 + 7-4[/tex]
[tex]\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}[/tex]
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
You spin the spinner once, what is P(not even)
There is three parts to the spinner
Answer:
dad
Step-by-step explanation:
please solve quickly
If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.
What is the probability?Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.
p (Junior | Males) = number of males that are junior / total number of males
2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%
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Please help! Give detailed answer.
Answer:
C
Step-by-step explanation:
Pythagorean theorem
√25²-20²=15
Answer:
C
Step-by-step explanation:
the figure is a rectangle with opposite equal sides
Consider the upper right triangle
using Pythagoras' identity
p² + 20² = 25²
p² + 400 = 625 ( subtract 400 from both sides )
p² = 225 ( take square root of both sides )
p = [tex]\sqrt{225}[/tex] = 15
I NEED THE ANSWER TO THIS QUESTION ASAP
Answer:
B
Step-by-step explanation:
Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137
Answer:
Step-by-step explanation:
+ 15,181 ft.
- 137 ft.
d = | 15,181 - ( - 137 ) | = 15,318 ft.
15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.
⇒ the answer is (B).
A shirt is on sale for 40% off. The sale price is $12. How much was the discount?
Let p = the original price
p - .4p = 12
.96p = 12
p = 12.5
The original price was $12.50
12.5 - 12 = .5
The amount of the discount was $.50
rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through thursday and 15 hours total over the next five days rashanda plays at a steady rate explain why her claim is or is not accurate
Answer:
Not accurate
Step-by-step explanation:
3+9+9=21
will mark brainiest to whoever gets it right!!!!!!:)
If they are parallel it would be 105
If its right please give brainliest
Of the 12 people who have taken their seats at a seminar, 2 have red hair. What is the experimental probability that the next person to take a seat will have red hair? help pls i dont understand this ixl
Answer:
Heyyy!!!!!
I think the answer is 1/6.... Im not really sure...
Step-by-step explanation:
My explanation is that there are twelve people of whom 2 have red hair.
so the probability is 2/12 which simplifies to 1/6.
I really hope this helps!!!