To distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.
What is exponential function?The mathematical symbol again for exponential function is e^x. The word, unless specifically stated differently, typically refers to the optimistic functional of a real variable, but it may be extended towards the complex numbers or adapted to other mathematical like matrices and Lie algebras.
The idea of exponentiation, or repeated multiplication, is where the exponential function got its start, but more recent definitions—there are several that are equivalent—allow for it to be rigorously expanded to everyone real arguments, especially irrational values.
A. FX) = 2 (7)→ 6(a+8)
O B. FX) = 2→4(1+ 9x)
C. F(X) = 2 · (0.5)→(9m + 10) x 2
D. FX) = 2(16)→ 3 (2x + 4y - 15z)
Therefore, to distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.
To know more about exponential function, here:
https://brainly.com/question/17246770
#SPJ7
In a population of spiders, there is a protein that is coded in the
DNA to make venom. In a particular spider, there was a protein
variation due to a change in the genetic code. This protein
variation caused the spider's venom to be stronger to kill its prey.
This genetic variation was passed down to offspring and was
favored due to the amount of time shortened to eat its prey.
What will likely happen to this population of spiders?
eventually all of the offspring will have the genetic variation
Step-by-step explanation:
the variation was passed down to its offspring, and was favored, so it is now just part of its genetics, meaning all of the offspring from the original spiders offspring, will also have the genetic variation. hope this helps :)
I am a two-digit number. I have a three in the ones place. I am less than 16.
What number am I?
Answer:
13
Step-by-step explanation:
It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
What is the sum of (4s+3)+(2s+1)
Answer:
Step-by-step explanation:
4s+3+2s+1=6s+4
(-4a^3b^2?)^2 •(3a²b)
Answer:
48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)
Step-by-step explanation:
(-4a^3 b^2)^2 × (3a^2 b)
16a^5 b^4 × 3a^2 b
48a^7 b^5
whats the area of 8ft, 6ft and 2ft?
Answer:
96
Step-by-step explanation:
8x6=48
48x2=96
Lane bought 12 pencils for
$0.39 each. What was the total cost of the
pencils before sales tax was added?
Answer:
$4.68
Step-by-step explanation:
if you do 0.39 x 12 you get 4.68
Answer:
$4.68
Step-by-step explanation:
12x0.39=$4.68
this is all i ask, just please give me the answer
Answer:
92
Step-by-step explanation:
161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)
Answer:
x=92
Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)
What is the value of the growth factor of the function?
A) 1/5
B) 1/3
C) 2
D) 6
Answer:
B
Step-by-step explanation:
Divide 18 by one third and see what ya get
then 6, then 2. BOOM!
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
•1/3 cm/s
•1/2 cm/s
•2/3 cm/s
•3/2 cm/s
Answer:
•3/2 cm/s
Step-by-step explanation:
from (0, 0) to (6, 9). The graphed function rose 9 units (went up) and ran 6 units (shifted right). In slopes, we use this equation:
[tex] \frac{rise}{run} [/tex]
to find slopes. So ⁹⁄₆ is what we get. But ⁹⁄₆ simplified is ³⁄₂, so that's the answer.
2+0+3+4+9+6 ?? please
Hey there!
The answer is 24
2+0
2
2+3
5
5+4
9
9+9
18
18+6
24
Have a good day!
P.S. UMMMMMMMMM
Please help me if you can
Answer:
1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x
Can someone help me again please. I will pay extra fr please
Answer:
y = 3x + 3
Step-by-step explanation:
First, you check for the y-intercept, which is 3 for this equation.
In order to find the slope, pick two points and apply the slope formula.
I would just use rise/run. The slope should be 3/1.
Answer:
y = 3x + 1
Step-by-step explanation:
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
In the equation y=4 over 3 x +5 what is the slope and y-intercept
Answer:
Slope = [tex] \frac{4}{3} [/tex]
Y-intercept = 5
uhm please help me
I’m not really good at Math as you can tell :(
Also: Don’t mind the tabs (^^;)
Answer:
5 37.50
10 75
hope it helps
Step-by-step explanation:
prove me wrong
Answer:
Lol the you tube tab though XD
Step-by-step explanation:
Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training
Answer:
12
Step-by-step explanation:
Key word: Most likely
First try to find the constant of proportionality
8/2= 4
4/4= 1
20/5=4
24/6=4
Since it says most likely we would say the constant of proportionality is 4.
Since they are asking for 3 homes runs we will do 3 times 4
[tex]3[/tex]×[tex]4=12[/tex]
The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Finding the constant of proportionality :-
8/2= 4
4/16= 4
20/5=4
24/6=4
Since, the constant of proportionality is 4.
And, they are asking for 3 homes runs we will do 3 times 4
Therefore, 3 x 4 = 12
Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.
Learn more about constant of proportionality click;
https://brainly.com/question/29153656
#SPJ2
Some one help ASAP please help I’m stuck
Answer:
SOH CAH TOA
Step-by-step explanation:
/hyp/2=/ opp/ 2 +/Adj/2
x2=(1/21)2 + 1/28)2
Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!
Answer:
3 and 7
Step-by-step explanation:
calculate the rise and run to find the slope of the line
Answer:
3
Step-by-step explanation:
To find the slope of the line, you can use the formula rise/run.
Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,
Rise = 3
Run = 1
Now to plug this into our formula:
3/1 = 3
The slope of the line is 3.
I CANNOT DO THIS, PLEASE HELP! :D
Answer:
F = k/d^2
Step-by-step explanation:
We can see from the question that the force of attraction F is proportional to the inverse of the square of the distance separating the bodies, d.
So we have;
F α 1/d^2
So, introducing a constant of proportionality k,
F = k/d^2
Hence the formula connecting F and d is; F = k/d^2
Work out the area of the trapezium.
Answer:
58.29 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b) , substitute given values into formula
A = [tex]\frac{1}{2}[/tex] × 6.7 × (7 + 10.4)
= 3.35 × 17.4
= 58.29 cm²
16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80
Answer:
B) $16
Step-by-step explanation
Hello! I need help PLZ!! If anyone knows I would appreciate it! Thank you so much! :)
(4 screenshots included)
Answer:
its either b or d
Step-by-step explanation:
b or d is the answer
I need help please... 30 points + brainliest if u answer all 5 I'LL DO ANYTHING :'(
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
f(x) is a function that takes some number x and outputs another one.
To get the output value, replace every instance of x in f(x) with the given number.
1. If f(x) = x ² - 4x, then
f (-3) = (-3)² - 4(-3) = 9 + 12 = 21
2. f(x) = x ² - x, so
f (-10) = (-10)² - (-10) = 100 + 10 = 110
3. f(x) = 3x + 1, so
f (-3) = 3(-3) + 1 = -9 + 1 = -8
4. f(x) = 4x - 2, so
f (8) = 4(8) - 2 = 32 - 2 = 30
5. f(x) = x ² + 2, so
f (0) = 0² + 2 = 0 + 2 = 2
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
PLZ HELP IM BEGGING
Answer:
-x+y= -14 (get this equation to where you can easily plug it in for a variable)
y= x -14
5x +6y =26 (plug the value above in for y and then solve)
5x + 6 (x-14) = 26 (use the distributive property)
5x +6x - 84 = 26 (combine like terms on the left side)
11x - 84 =26 (add 84 to both sides)
11x = 110 (divide both sides by 11 to isolate the x-variable)
x= 10 (this is the value for x. plug it into the easier equation and solve)
-(10) +y = -14
y= -4
(10, -4) (this is the solution for the system of equations)
rewrite the algebric expression using disstributive property
5(2x+7)
Which inequality is true
A
B
C
D
Check picture
it would be a
Step-by-step explanation:
it would be a because you would have to subtract it
Answer:
C
Step-by-step explanation:
Pi is a bit bigger than three(3.141592...) 3x3 = 9, but 3 times anything bigger than it, is more than 9.