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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What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
Someone please answer this, I’ll give you brainliest and 50 points!
Answer:
3
Step-by-step explanation:
Answer:
Answer 2
Step-by-step explanation:
Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4
Answer:
its the second option under the first one... which is more than likely C.
Step-by-step explanation:
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
Answer:
The volume of the cone is approximately 31.43 cm³Step-by-step explanation:
We know that:
Volume of cone: πr²h/3h = 7.5r = 2Work:
πr²h/3=> π x r² x h/3=> 22/7 x 2² x 7.5/3=> 22/7 x 4 x 2.5=> 22/7 x 10=> 220/7=> 31.43 (Rounded to nearest hundredth.)Hence, the volume of the cone is approximately 31.43 cm³
Hoped this helped.
[tex]BrainaicUser1357[/tex]
please helpp and show your work pleasee
Answer:
[tex]b=27[/tex]
Step-by-step explanation:
[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]
Invisible Steps:
Add 7 on each side of the equation:
[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]
Multiple 3 on each side of the equation:
[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]
[tex]9[/tex] · [tex]3=27[/tex]
spilled $40 into the ratio of 3:7
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
State the property that justifies each statement
if y + 6 = 45, then y = 39.
Answer:
Justified ✔
Below is the justification.
Step-by-step explanation:
39 + 6 = 45
=> 45 = 45 ✔
This work justifies that y does equal to 39.
Hoped this helped.
Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?
What is the the cube root of 310 to the nearest integer
Answer:
6.7679
Please mark this brainiest?
Step-by-step explanation:
Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .
Answer:
the cube too of 310 is 7
Step-by-step explanation:
as cube root of 310 is 6.76
Give me some tips for the Shsat that is tomorrow.
Answer:
1. Sleep well
2. Eat a proper meal to increase your energy
3. Do the ones you are good at first. Skip the harder questions
4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.
5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.
6. Have faith in yourself. :)
Step-by-step explanation:
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
REWARDING BRAINLIEST!
What is the value of x?
Enter your answer in the box.
x =
Answer:
7
Step-by-step explanation:
5/45 = 3/2x+13
calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly
Answer:
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The number of comic books is an illustration of a linear function
The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]The value of b has increased by 4She had 17 comic books already.
So, we have:
[tex]\mathbf{Base\ Amount = 17}[/tex]
Her order of 65 books contains 8 comic books per collection.
So, we have:
[tex]\mathbf{Rate = 8}[/tex]
[tex]\mathbf{Total = 65}[/tex]
This is represented as:
[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]
So, we have:
[tex]\mathbf{8\times b + 17 =65}[/tex]
Rewrite as:
[tex]\mathbf{8b + 17 =65}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b =48}[/tex]
Divide both sides by 8
[tex]\mathbf{b =6}[/tex]
Assume she has 97 books in her collection, then the equation would be represented as:
[tex]\mathbf{8b + 17 = 97}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b = 80}[/tex]
Divide both sides by 8
[tex]\mathbf{b = 10}[/tex]
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
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.
Christian pays $15 to join a music streaming service. He also pays $0.99 for each song he downloads from the same service.
Which function can be used to find, y, the the amount of money Christian spends for x downloaded songs?
y = 0.99x + 15
y = 15x + 0.99
y = 15x
y = 0.99x
The total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
Christian initially pays $15 to join the music service.
Also, he pays $0.99 for each song he downloads from the service.
If he downloads x songs, the amount extra he pays per song he downloads is price per song × number of songs = $0.99 × x = $0.99x.
This amount is added to the initial $15 he pays to join the service. So, the total amount of money he pays is y = initial amount + extra per song = $15 + $0.99x = $0.99x + $15
So, the total amount of money Christian spends to download x xongs is y = 15 + 0.99x.
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Part 1: Celebration!
You and three friends will be going out to eat at your favorite restaurant!
Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?
Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:
Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
Answer: All four friends would have to share paying the tip and the total so all of them would pay 1/4 of the bill and 1/4 of the tip
Step-by-step explanation: divide the bill and tip between the 4 friends and you get 1/4 which is how much of the bill and tip that all you and the friends have to pay
pleaseeeeeee helpppppppp meeeee
Find the length of the third side. If necessary, write in simplest radical form.
Step-by-step explanation
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answer:
$480
Step-by-step explanation:
400 × .20 = 80
the retailer got an extra 20% or $80 for the machine.
$400 + $80 = $480
The customer paid $480 for the washing machine.
A color printer prints 10 pages in 3 minutes.
How many minutes does it take per page?
Answer:
3.3 secs
Step-by-step explanation:
divide the pages by the minutes
Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?
A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5
Answer:
B : y = 0.1x + 5
Step-by-step explanation:
using the y = mx + b equation
b is the intercept on the y axis ( x = 0)
m is the slope of the line.
From the graph we can see that the intercept is (0,5), therefore b = 5;
To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)
m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1
m = 0.1
therefore in y = mx + b
y = 0.1x + 5
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
Answer:
Read image
Step-by-step explanation:
Desmos
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 21 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answer:
3.9375 gallons per day or 4 gallons if you want to round up
Which slope is perpendicular to slope m= 5/6
Answer:
-6/5
Step-by-step explanation:
The slope of perpendicular lines multiply to -1
5/6 * p = -1
Multiply each side by 6/5
6/5 * 5/6 * p = -1 * 6/5
p = -6/5
The slope of the perpendicular line is -6/5
In July, Clare rode her bike 15 miles in 72 minutes, at her constant speed. a How long did it take her to ride 10 miles? Show or explain your thinking.
Answer: x = 48 minutes
Step-by-step explanation:
15 miles/72 min = 0.208 miles/min
(0.208 miles/min)x = 10 miles
x = 48 minutes
Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6
Answer:
the answer is A since it forms a pattern :>
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
n > 8/3
Step-by-step explanation:
Divide both sides of the equation by 3 to make n the only variable left, n> 8/3
Simplify: 7.2 x10^4/3.0 x 10^2
Answer:
240
Step-by-step explanation:
pls help me with these 2 questions
Answer:
x(2x-1)=0
3x-1x=0
2x=0
x=0/2
x=0
Step-by-step explanation:
LCM
first term =3x
=3×x
second term = 4x²y
=2×2×x×x×y
third term =x(x+1)
LCM=x
Answer:
djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf
A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 64 He then walks 68 feet further away and observes that the angle of elevation to the top of the antenna is 43 Find the height of the antenna to the nearest foot.
The height of the radio station antenna is approximately 116 feet to the nearest foot.
From the diagram in the attached image
[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]
we now have the following relationships
[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]
and
[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]
we can equate the two relationships to eliminate [tex]x[/tex].
[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]
solving for the height of the radio station antenna, [tex]h[/tex], we get
[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]
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