Answer:
h(x) = x^3
A function has an inverse that is also a function is it is a one-to-one function, a function is one-to-one if each value in the domain is linked to only one value in the range, and if each value in the range is linked to only one value in the domain.
Then, a function that is monotonous growing is always one to one, and a function is monotonous growing if the derivative is positive for all the values of x
The derivative of x^3 is:
h'(x) = 3*x^2
and as you know, x^2 is always equal or greater than zero, so h(x) = x^3 is monotonous growing, then it has a inverse that is also a function.
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
[tex]39.8^{\circ} C[/tex]
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
[tex]t(0)=10cos(15(0)-10)+30[/tex]
[tex]t(0)=10cos(-10)+30[/tex]
[tex]t(0)=39.8^{\circ} C[/tex]
Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]
Please answer my question now in two minutes
the answer is 56 m.
since the triangles are congruent their corresponding angles are equal and ML is corresponding side of77°and its corresponding side value is 56 m so, the value of ML is also 56 m.
An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units
Answer:
Option (C) 235.5 cubic units
Step-by-step explanation:
Data obtained from the question include:
Radius (r) = 5 units
Height (h) = 9 units
Pi (π) = 3.14
Volume (V) =..?
The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:
V = 1/3πr²h
With the above formula, we can obtain the volume of the oblique cone as follow:
V = 1/3πr²h
V = 1/3 x 3.14 x 5² x 9
V = 3.14 x 25 x 3
V = 235.5 cubic units.
Therefore, the volume of the oblique cone is 235.5 cubic units.
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
Find the area of the regular polygon.
32
Answer: 45
Step-by-step explanation: that is correct
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
Which is true about the domains and ranges of the functions f(x) = 1/8sqrt(x) and g(x) = 8sqrt(x)?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
They have the same domain and range.
Step-by-step explanation:
Since both are derived from the parent graph f(x) = √x, we know that the domain of the parent graph is [0, ∞) and the range is also [0, ∞). Since both graphs are only being modified by vertical stretch/shrink, they still have the same domain and range as the parent graph. Therefore, both graphs have the same domain and range.
Answer:
They have the same domain and range
Step-by-step explanation:
they're both in the first quadrant
0.6y + 0.8 = 0.28y + 1.12
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
How do you simplify:
[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]
Answer:
[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
What value of n makes the equation true?
-1/5n + 7=2
n=
Answer:
n = 25
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
~
First, subtract 7 from both sides:
(-1/5)n + 7 (-7) = 2 (-7)
(-1/5)n = 2 - 7
(-1/5)n = -5
Next, multiply -5 from both sides:
(-1/5)(-5)n = (-5)(-5)
n = -5 * -5
n = 25
25 is your answer for n.
~
Answer: n = 25
Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.
On the left, +7 -7 cancels and we're left with -1/5n.
On the right, 2 - 7 simplifies to -5.
So we have -1/5n = -5.
In order to get n by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of -1/5 is -5/1.
So we multiply both sides of the equation by -5/1.
So we have (-5/1)(-1/5n) = -5(-5/1).
On the left, our 1's cancel and our 1's cancel.
Also, remember that a negative times a negative is a positive.
So on the left we are left with n.
On the right, -5(-5/1) is 25.
So n = 25.
PLEASE HELP!!!
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?
Answer:
standard deviation=143.527
C
Step-by-step explanation:
75, 82, 100, 120, 140.
if we add 450
75, 82, 100, 120, 140,450
standard deviation=143.527
find the mean=sum /count=967/6=161.167
then find the √square difference between each sample and the mean, add up the differences²/6-1
find the square root of the differences=143.527
Answer:
C-the new standard deviation is greater the $27
. (43 x 2) x 5 = 43 x (2 x 5)
what property is this
Answer:
This property is known as the associative property
Step-by-step explanation:
In the associative property, you rearrange the numbers so they make the most sense in what position they are in.
Hope this helps! :)
Answer:
associate property
:<
You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
Helppp!!!! please!!!
Answer:
A) 120 ft^2
Step-by-step explanation:
The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.
TA = 4 * area of triangle + area of square
TA = 4 * bh/2 + s^2
TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2
TA = 84 ft^2 + 36 ft^2
TA = 120 ft^2
Answer:
A) 120 ft^2
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,-5) and has a
slope of -1?
Answer:
y = -x -7
Step-by-step explanation:
-5 = -1(-1) + b
-7 = b
y = -x -7
Answer:
y=−x−6
Step-by-step explanation:
The y-intercept is b=y1 −m⋅x1
b=−5−(−1)x(−1)=−6.
so y=mx+b.
y=−x−6.
Answer:
The slope of the line is m=−1.
The equation of the line in the slope-intercept form is y=−x−6.
1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?
Answer:
1. 6/21
2. 6/14
3. 12/20
4. 4/12
5. 5/11
Step-by-step explanation:
color of ball your looking for/Total amount of balls
Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.
What is Probability?Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.
1. Number of red balls = 15
Number of blue balls = 6
Total number of balls = 15 + 6 = 21
Probability of getting a blue ball = 6/21
2. Number of white balls = 6
Number of red balls = 8
Total number of balls = 6 + 8 = 14
Probability of getting a white ball = 6/14 = 3/7
3. Number of red balls = 12
Number of blue balls = 8
Total number of balls = 20
Probability of getting a red ball = 12/20 = 3/5
4. Number of blue balls = 4
Number of red balls = 8
Total number of balls = 12
Probability of getting a blue ball = 4/12 = 1/3
5. Number of blue balls = 6
Number of black balls = 5
Total number of balls = 11
Probability of getting a black ball = 5/11
Hence the probabilities of selecting a ball at random in each case has been answered.
Learn more about Probability here :
https://brainly.com/question/30034780
#SPJ2
A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840ft^2 and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.
Answer:
approximate volume = = 28336 cubic ft.
Step-by-step explanation:
Base area = 70840 sq. ft
Each story is about 10 ft.
approximate height = 12*10 = 120 '
Volume of pyramid
= Base * height /3
= 70840 * 120 / 3
= 28336 cubic ft.
Answer: 2,833,600 [tex]ft^{3}[/tex]
Step-by-step explanation: Please see the image below!
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
The number of times Abigail is faster on her skateboard than she is walking is 2 times faster
Step-by-step explanation:
Let the distance to Abigail's home = D
The distance Abigail had traveled before hr skateboard broke = 2/3·D
The distance from home where the skateboard broke = D - 2/3·D = 1/3·D
The time it took Abigail to walk the 1/3·D home = Twice the time it will take her if she was on her skateboard
Let the time it will take Abigail to travel the 1/3·D home on her skateboard = t
Therefore;
The time it took Abigail to walk the 1/3·D home = 2 × t
The speed of Abigail walking, [tex]s_w[/tex]= Distance/Time = 1/3·D/(2 × t) = D/(2·t)
The speed of Abigail skateboarding, [tex]s_s[/tex]= Distance/Time =D/t
The ratio of the speed of Abigail skateboarding to the speed of Abigail walking = [tex]\dfrac{s_s}{y_w} = \dfrac{\dfrac{D}{t} }{\dfrac{D}{2 \times t} } = \dfrac{D}{t} \times \dfrac{2 \times t}{D} = 2[/tex]
Therefore, Abigail is two times faster on her skateboard than she is walking.
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceAs an estimation we are told £3 is €4. Convert £34.50 to euros.
Answer:
46 euros
Step-by-step explanation:
£30 = 40 euros
4.50 = £3 and £1.50
£3 = 4 euros
1.50 = 2 euros because you half the 4 euros because half of 3 is 1.50
hope this helps if not sorry
Answer:
€46
Step-by-step explanation:
→ We know £3 = €4, so we have to work out how many euros in £1
£3 = €4
(÷3) (÷3)
£1 = €1.3
→ Now we multiply £34.50 by €1.3 because we know £1 = €1.3
£34.50 × €1.3 = €46
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
Draw the graphs of y=2x plus 1
Hey there! :)
Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells
Answer: £25
Step-by-step explanation:
Given the following :
pink paint production = mixing red and white paint in the ratio 2 : 3
Price of red paint = 80 per 10 Litre
Price of white paint = 5 per 10 Litre
Selling price of pink paint = £60 per 10 litre
Recall the ratio of red to white paint :
2 : 3 ; 2 +3 = 5
Therefore,
Amount of Red paint used:
= (2/5) × 10 ; 20/5 = 4,
Cost per Litre = 80 / 10 = £8
Cost of red paint = 4 × 8 = £32
Amount of white paints used:
= (3/5) × 10 ; 30/5 = 6
Cost per Litre = 5 / 10 = £0.5
Cost of white paint = 6 × 0.5 = £3
Total cost of production = £(32 + 3) = £35
Profit = selling price - product cost
Profit = £(60 - 35) = £25