Answer:
5x
Step-by-step explanation:
The natural log of 5x is the exponent to give e to get 5x as a result. You are simply applying the definition of logarithm
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
Here, we have,
The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:
[tex]e^{ln(x)} = x[/tex]:
This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.
When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).
[tex]e^0 = 1[/tex]:
The natural exponential function raised to the power of 0 is equal to 1.
Now, let's simplify the expression step by step:
[tex]e^{ln(5x)[/tex]
Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:
5x
Therefore, the correct option is "5x."
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
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There is a line that includes the point (5, -7) and has a slope of -1. What is its equation in slope-intercept form?
make x the subject of the formula
y=a √x
Answer:
Y^2/a = x
Step-by-step explanation:
Y = a sqr X
Square both sides
Y^2 = a * x
Divide a
Y^2/a = x
Answer:
[tex] x = \dfrac{y^2}{a^2} [/tex]
Step-by-step explanation:
[tex] y = a\sqrt{x} [/tex]
Square both sides.
[tex] (y)^2 = (a\sqrt{x})^2 [/tex]
[tex] y^2 = a^2(\sqrt{x})^2 [/tex]
[tex] y^2 = a^2x [/tex]
Divide both sides by a².
[tex] \dfrac{y^2}{a^2} = x [/tex]
Switch sides.
[tex] x = \dfrac{y^2}{a^2} [/tex]
Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?
Answer:
45.37
Step-by-step explanation:Based on the given conditions, formulate:
5.75
+
36.25
+
3.37
Calculate the sum or difference:
42
+
3.37
Calculate the sum or difference:
45.37
get the result:
45.37
Simplify the following expression.
-14 × 3
A.
-42
B.
-56
C.
42
D.
-17
Answer:
The answer would be A. -42
Can someone please help me with this?
4a - 5b = 7
substract 4a from both sides
4a - 5b - 4a = 7 - 4a
positive 4a with negative 4a
5b = 7 - 4a
devide both sides by 5
[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]
[tex]b = \frac{7 - 4a}{5} [/tex]
The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?
Answer is (x - 2).
- BRAINLIEST answerer
What is the sum of the first 12 terms in the series shown below?
1.5 - 4.5 + 13.5 - 10.5 +
PLEASE HELP!
Please give me the correct answers! No links, please! If you do not know the answer please don't put anything down, Thank you!!!
Answer:
All of the above
Step-by-step explanation:
Answer:
All of the above
Step-by-step explanation:
Rational numbers that can be expressed as the fraction
It is a integer
a repeating non-terminating decimal
terminating decimal
-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational
0 -- this is a whole number -- rational
56 --- natural number -- rational
34243.84 -- terminating decimal -- rational
-88/3 -- integer fraction -- rational
therefore all of the above are rational numbers
How to find standard deviation from true probability and sample size.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Please help!!! 30 points and brainliest!!
Solve for ‘x’
-6x = -5x - 9
[tex]-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9[/tex]
(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)
Answer:
x = 9
Step-by-step explanation:
-6x = -5x -9
+5x +5x
----------------
-x = -9
--- ----
-1 - 1
-------------
x = 9
Hope this helps!!^^ plz mark brainliest?
Wha ratio is equivalent to the ratio 6 : 12
Answer:
1:2
Step-by-step explanation:
1:2 would be a equivilant
also most simplified
Answer:
1 :2
Step-by-step explanation:
answer this 1 question
Answer:
I have attached my answer below.
Step-by-step explanation:
Not sure if its correct or not. Hope this helps!!
pls help asap MIDSEGMENTS
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.
59 divided by 4=? Also, please don't use a fraction just keep it simple like 68R7.
R/r=remainder
Answer:
14 R3
Step-by-step explanation:
the closest multiple of 4 under 59 is 56. 56/4=14 and there is a remainder of 3 between 59 and 56
Answer: 14R3
Step-by-step explanation:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
−
3
,
4
)
and
(
x
2
,
y
2
)
=
(
−
2
,
4
)
.
please help out for a brainly
show work!!
Answer:
Step-by-step explanation:
y=−5/2x−11 so slope is -5/2
y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)
mark brainliest plz
7x+1/3=2 2/3
Help me please
20x29 devided by 9+20=?
help
Answer:
20
Step-by-step explanation:
[tex] \frac{20 \times 29}{29} = 20[/tex]
Answer:
20X29 devided by 9+20=84.4444444444
1/2divided by 4/9 and its answer write it in a mixed fraction
Answer:
1 1/8
Step-by-step explanation:
1/2 ÷ 4/9
= 1/2 × 9/4
= 9/8
= 1 1/8
Answer:
[tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
hope this helps have a good rest of night :)❤
When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.
Answer:
108$.
Step-by-step explanation:
Please anyone I’m desperate
Answer:
the answer is B) 12a+6b
Step-by-step explanation:
3+9=12 so 3a+9a=12a,
7-1=6 so 7b-(1)b=6b
Step-by-step explanation:
calm down ! just breathe.
these are totally simple additions and one also very simple subtraction to make.
you know that you can combine terms based on the same variable, right ?
3a + 9a = 12a
7b - b = 6b
the result is then
12a + 6b, so B is the right answer.
this bases already on the same principle of actual numbers.
2×3 + 5×3 = 7×3 because this is also
(2 + 5) × 3
or
6×5 + 6×3 = 6×8 because this is also
6 × (5 + 3)
or
7×8 - 4×8 = 3×8 because this is also
(7 - 4) × 8
and so on.
Please to this step by step with answer
The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin
The characteristics of the horizontal line graph, y = 3 is that it is:
c. parallel to the x-axis
Recall:
The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.
Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:
c. parallel to the x-axis
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What is the slope of the line that passes through the points (9, 1) and (17, 2)
A: 8/15
B: 8/1
C: 1/8
D: 15/8
Answer:
C
Step-by-step explanation:
Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)
m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8
A regular polygon has an exterior angle of 40
°
Work out the number of sides of the polygon.
Answer:
9 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
To find the number of sides n divide the sum by 40°
n = 360° ÷ 40° = 9
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
5 by 11
6 plus 5 is 11
qn says at least 1 should be blue which will by 5 by 11
Answer:
5/11
Step-by-step explanation:
Because theres 5 blue marbles out of 11
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
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What are the domain and range of f(x) = (one-sixth) Superscript x + 2?
domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}
The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}
Given the exponential function expressed as;
[tex]f(x)=(\frac{1}{6})^x + 2[/tex]
The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".
Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}Learn more here: https://brainly.com/question/24041834
Answer:
The answer is C on edge
Step-by-step explanation:
Find the cartesian product Ax B of the following sets a) A = {x:x=1,2,3},b{y:y=3-x}
Answer:
Step-by-step explanation:
A=(1,2,3)
B=(0,1,2)
A×B=(1,2,3)×(0,1,2)
A×B=((0,1),(1,1),(1,2),(0,2),(1,2),(2,2),(0,3),(1,3),(2,3))