[tex]$f: \mathbb{R} \rightarrow \mathbb{R}, f(x) = e^{x} + 1$[/tex]
[tex]\text{Range}(f) = \{y \in \mathbb{R} \vert x \in \mathbb{R}, f(x) = y\}[/tex]
[tex]\text{Suppose $f(x) = a$}\\e^{x} + 1 = a \implies e^{x} = a - 1 \implies x = \ln(a-1)\\[/tex]
[tex]\text{For the logarithm to be real, it must be true that $a - 1 > 0$}\\\text{But then we have that } a > 1. \implies \boxed{\text{Range}(f) = (1, \infty)}[/tex]
Answer:
The answer is D. y > 1 on edge
An angle measures 72° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
that would be 108
Step-by-step explanation: it's 108 b/c supplementary angle/ either of two angles whose sum is 180°.
Answer:
Let the angle be x .
Its supplementary = 180 - x
Given:
x = 180 - x - 72
2x = 108
x = 54
Other angle = 180 - 54 = 126
((2ab)/(a ^ - 5 * b ^ 2)) ^ - 3 Which is the simplified form Assume a ne0 b ne0
Answer:
The correct options is (a)
The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given as follows:
(2ab/a⁻⁵b²)⁻³
= [(2ab) / (a⁻⁵b²)]⁻³
Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator
= [(2a.a⁵b) / (b²)]⁻³
Combine the coefficients 1 and 5 to get
= [(2a⁶) / (b)]⁻³
= 1/[(2a⁶) / b]³
= 1/[(2a⁶)³ / b³]
Cube the resulting expression to get
= b³/8a¹⁸
Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.
Hence, the correct answer is option A.
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What is the simplified form of the following expression?
RootIndex 3 StartRoot StartFraction 4 x Over 5 EndFraction EndRoot
Answer:
its C
Step-by-step explanation:
I took the test
The simplified expression of the ∛4x / 5 is ∛4x / ∛5
How to simplify an expression?The expression can be simplified as follows:
∛4x / 5
using law of indices
[tex]\sqrt[a]{b} =b^{\frac{1}{a} }[/tex]
∛4x / 5 = [tex](\frac{4x}{5} )^{\frac{1}{3} }[/tex]
Therefore,
∛4x / 5 = ∛4x / ∛5
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How many different fractions less than one can be made with these numbers 6 1 5 8 4 make sure you list the fractions
Answer:
We reorder them and see how many fractions we can make.
1/4 1/5 1/6 1/8
4/5 4/6 4/8
5/6 5/8
6/8
We see there are 10 fractions made in total
Step-by-step explanation:
23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical
height of 1575 feet. How far does the chair lift travel up the side of a
mountain?
Answer: x = 4394.9
Step-by-step explanation:
x.sin(21) = __1575__ . x
x
cross out the x from both side then
_x.sin (21)_____ = _1575_____
sin(21) sin(21)
x = 4394.9
tell me if that is the right answer
Mark me as brainliest if i got it right
Answer fast 50 points
Answer:
im pretty sure its b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When x < 1, y = 1, which is a horizontal line. This eliminates the last 2 options because the red line (which represents x < 1) is not a horizontal line. However, if we look at the second option, we see that the red line is y = 2, not y = 1, and therefore the answer is A. Hope this helps!
PLS PLS HELP!!!!!!
Let f(x)=x^2 + 5 and g(x)=x+5/x find (g°f)(-3)
A. 1/4
B. 14/19
C. 19/14
D. 49/9
Answer:
C
Step-by-step explanation:
Okay, so for this, you need to know that (g°f)(x) = g(f(x))
in order words, we are using the f(x) equation as X for the g(x) equation..
[tex]\frac{ x^{2} +5 + 5}{ x^{2} +5}[/tex] = [tex]\frac{x^{2}+10}{x^{2}+5}[/tex]
Now, we just plug in -3 for X
[tex]\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}[/tex]
C
According to the Associative Property, which expression is equal to (25)(9)(4x)?
(9)(25)(4) + x
25(9 + 4x)
25 + 9 + 4x
(25 * 9 * 4)(x)
Answer:
(25x9x4)(x)
Step-by-step explanation:
They both equal 900x
you are purchasing a house 12 years from now the estimated purchase price is $171,600 you want to make a 20% down payment how much do you need to save per month to reach your goal
Answer:The answer would be $238.33 a month
|5−4r|=17 find r Answer in as many ways as possible IF you don't answer the question and fool around I will report you
Answer:
r1= -3
r2= (11/2)
Step-by-step explanation:
5-4r=17
-4r=17-5
-4r=12
r=13
and
5-4r=-17
-4r=-22
r= 11/2
Lesson 16
Problem 1
A landscape architect is designing a pool that has this top view:
How much water will be needed to fill this pool 4 feet deep?
Answer:
546 ft³
Step-by-step explanation:
In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.
Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²
Area of the rectangle: 1.5*11 = 16.5 ft²
Total area: 120 + 16.5 = 136.5 ft²
Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³
Find the 8th term in the sequence
-1/2, -1, -2, -4......
Answer:
-64
Step-by-step explanation:
geometric
equation
a1(r)^n-1
-1/2(2)^8
Given sequence is -1/2, -1, -2, -4,...
We get,
a1 = -1/2
r = 2
n = 8
So,
a8 = a.r^(n-1)
a8 = -1/2 * 2^(8-1)
a8 = -1/2 * 2^7
a8 = -1/2 * 128
a8 = -64
Therefore, 8th term of the sequence is -64
What is geometric sequence example?
A common ratio multiplied to each term to get the next term is a non-zero number is a geometric sequence. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, … , where the common ratio is 2.
What are the types of sequences?- Arithmetic sequences
- Geometric sequences
- Quadratic sequences
- Special sequences
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A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inches?
Answer:
Step-by-step explanation:
HELP ILL MARK YOU AS BRAINILIEST
Answer:
D
Step-by-step explanation:
rise over run!
Answer:
I'm not sure what the answer is. This app is on my mom's phone and it's late. If you have any questions starting Monday I can help you then
Li bought his dog Spot a huge bone. Spot chews 4 inches off the bone every day. What number describes the change in the length of the bone after 3 days?
Answer:
4 x 3 = 12
12 is the answer. Have a great day
Step-by-step explanation: Brainliest please
Please help ASAP!!! Algebra question in pictures
Answer:
2nd one
Step-by-step explanation:
Find all complex solutions of x^2+5x+13=0
Answer:
x^2+5x+13=0
Step-by-step explanation:
x upper 2 and 5x
6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?
will mark bianleast 10 ponits
What is the perimeter of a regular 12-sided polygon with side lengths of 2 inches?
10 in.
14 in.
24 in.
144 in.
Answer:
24 in
Step-by-step explanation:
12 sides times 2in = 24in
The black line is the graph of y= x. Which of these
equations could represent the blue line?
yt
y = 0.001x
y = 2x
y = -x
y = 1/2x
21 is 71%, of what number
Answer:
29.58
Step-by-step explanation:
because 21 times 39= 29.58
Answer:
29.57746479 = N
Step-by-step explanation:
Is means equals and of means multiply
21 = 71% * N
21 = .71 N
Divide each side by .71
21/.71 = .71N/.71
29.57746479 = N
How many degrees is x?
32°
58°
64°
90°
How many degrees is y?
32°
58°
64°
90°
the value of X is 58 degree.
The value of y is 32 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
The height of a parallelogram is 6.5 cm.
The base is 13 cm. What is the area of the
parallelogram?
Area of parallelogram = base × height
Area = 6.5 × 13 = 84.5 cm²
[tex]area = base \times height \\ area = 13cm \times 6.5cm \\ area = 84.5cm {}^{2} [/tex]
(3×4) ÷ (24 - 18) =
Please Answer
Answer:
2
Step-by-step explanation:
The answer is 2 because the expression tells you that the numbers in parentheses are the ones you start with first. In this case you need to start from left to right since both sides are in symbols.
1. 3x4=12
2. 24-18=6
3. 12/6=2
And there you have it! Please leave a vote and a thanks! Let me know if it's correct!
Divide the number of meters by______ to find the number of laps?
Answer: Please include more information, for now this is indeterminable
Step-by-step explanation: Sorry, add more info and I will be sure to answer
What is the first step to solve this equation: 3x =44
You need to divide 3 on both sides
The correct first step to solve the equation 3x = 44 is to divide both sides by 3.
To solve the equation 3x = 44, the first step is to isolate the variable x on one side of the equation.
To achieve this, you need to undo the multiplication by 3 on the left side of the equation.
Since 3x means 3 multiplied by x, you need to divide both sides of the equation by 3.
By dividing both sides of the equation by 3, you are essentially canceling out the effect of the multiplication by 3 on the left side.
This step allows you to isolate the variable x.
So, the correct first step to solve the equation 3x = 44 is to divide both sides by 3.
Hence the correct option is 4th.
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what is the name of the relationship between 1 and 8
Answer:
The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex] are Alternate Exterior Angles.
Step-by-step explanation:
Alternate Exterior Angles, are pair of angles that lie on the outside of the traversal and lie on the opposite sides.
The required name of the relationship between 1 and 8 is alternate exterior angles
The correct option is (c)
What is Alternate Exterior angle?When a transversal cut the pair of parallel lines then the alternate exterior angles are congruent.
How to find alternate exterior angle?Consider the given pair of parallel lines and transversal
we have
angel 1 and 5 are corresponding angles
angle 2 ad 6 are corresponding angles
angle 1 and 8 are alternate exterior angle
angle 2 and 7 are also alternate exterior angle
Therefore the correct option is (c)
This is the conclusion to the answer.
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-201 = -3 +6(-6x – 3) Solve Multi-Step equation
Answer:idk
Step-by-step explanation:
what is the area of an equilateral triangle whose altitude is 6？
So the right answer is 15.57.
Look at the attached picture
Hope it will help you..
Good luck on your assignment
~pragya
Answer:
the answer is attached to the picture
hope this helps
brainliest appreciated
good luck! have a nice day!!
PLEASE ANSWER DESPERATE!!
It's mmultiple choice so it has to be one of these:
461.7
889.7
1161.3
Answer:
Volume, [tex]V=889.7\ m^3[/tex]
Step-by-step explanation:
From the attached figure,
Radius of shape is 5 m
Height of the cylindrical part is 8 m
It is required to find the volume of the given shape. The volume of the given object is equal to the sum of volume of cylinder and volume of hemisphere. So,
[tex]V=\pi r^2h+\dfrac{2}{3}\pi r^3\\\\V=3.14\times (5)^2\times 8+\dfrac{2}{3}\times 3.14\times 5^3\\\\V=889.7\ m^3[/tex]
So, the volume of the figure is [tex]889.7\ m^3[/tex].