Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or [tex]ab^x[/tex] for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
[tex]y=3\sqrt{4^{2x}}[/tex] ; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or [tex]34^x[/tex]
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
[tex]y=\frac{\sqrt[3]{5^{3x}}}{2}[/tex] ; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = [tex]\frac{1}{2}5^x[/tex]
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
[tex]y=8^{x+2}[/tex]
on comparing with equation (1) we get a =64 and b =8
y = [tex]64 . 8^x[/tex]
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
[tex]y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}[/tex] = [tex]3^{x+1}[/tex] = [tex]3 . 3^x[/tex]
on comparing with equation (1) we get a =3 and b =3
y = [tex]3 . 3^x[/tex]
Which expression has the same value as the one below?
38 + (-18)
Answer:
D
Step-by-step explanation:
38+(-18) can be changed to 38-18 and the answer will still be the same
Find the area of the figure.
A. 50 ft^2
B. 41 ft^2
C. 42 ft^2
D. 38 ft^2
Answer:
I'm pretty sure its A
Step-by-step explanation:
Answer: The answer is 38ft^2
Step-by-step explanation:
3 x 10 = 30
6 - 10 = 4
5 - 3= 2
4 x 2 = 8
30 + 8= 38
Answer: 38ft^2
Apples cost $2.99 per pund at Natural Grocers. If Landon purchases 3.6 pounds of apples, then how much willnhe spend? Round your answer to the nearest penny.
Answer:
$10.76
Step-by-step explanation:
Just multiply 2.99 by 3.6 and round
John,Kris,and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below .
Monica can only throw the frisbee 75 feet. If she throws the frisbee as hard as she can to John, will it reach him?
Answer:
Ur seriously taking Charles Geometry exam, and post the question here
Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.
Riddle
Your stuck in a pyramid with no way to get out. You don't know how big it is. How do you solve your problem?
there isn't a rule that u dont have anything so pull out a ruler and measure it
Solve using a proportion and an equation. Kendra found the experimental probability of her making a penalty kick in soccer is 3/10 or 30%. Out of 40 penalty kicks, how many could she predict she will make?
Answer: The predicted number of penalty kicks = 12
Step-by-step explanation:
Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.
So, the proportion of penalty kicks she make = 0.3
Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40
= 12
Hence, the predicted number of penalty kicks = 12
PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.
O 1 over 4 of 10 times the sum of 5 and 3, minus 3
O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
O 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
I think its the first one...
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
anyone know how to do this help
Answer:
Height if the tree: 13.8 meters
Answer:
Height of the tree: 13.8 meters
what percent of 18 is 24
SIDE NOTE:its not 75%
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answer:
3,500
Step-by-step explanation:
please choose the correct answer due at 11:59
Answer:
B
Step-by-step explanation:
if you line up the months (x) with the money (y) evrything lines up correctly whe you look at the points on the graph
hope this helps <3
If a bike normally costs $150 but it is marked up
100% due to an increase in demand. How much
would it cost? *
Answer:
300
Step-by-step explanation:
100% of 150 is literally 150, add those together and you get 300.
Answer:
the answer is $300
Step-by-step explanation: when increasing by 100% it is the same as multiplying by 2
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
Answer:
8 inches = 120 miles
Step-by-step explanation:
If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.
120 / 30 = 4
4 x 2 = 8
8 inches = 120 miles
To check;
30 x 4 = 120
8 / 2 = 4
Hope this helps!!!
Answer:
The answer is 8in.
Step-by-step explanation:
Calculated 120/30
Solve the proportion: 4/x = 2/7
Answer:b
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Cross multiply.
7 x 4 = 28.
X x 2 = 2x
2x = 28
x = 14
Sols the system 2x+y = 1 y = -2x^2+3x+1
Answer:y=(-2x+1) (x+1)
Step-by-step explanation:
2x+y=-2x^2 +3x+1
y=-2x^2+x+1
y=-2x^2 -2x+x+1
y=-2x(x+1) +1(x+1)
y=(-2x+1) (x+1)
In the picture I need the answers to the questions.
Answer:
a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) [tex]\mathbf{f(g(9))=16}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]
We need to find [tex]a) f(g(x))\\b) f(g(9))[/tex]
a) First finding: [tex]f(g(x))[/tex]
It can be found by putting the value of g(x) into f(x)
We are given:
[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]
SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) Now finding: [tex]f(g(9))[/tex]
It can be found by putting x=9 in f(g(x))
We have:
[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]
So, we get: [tex]\mathbf{f(g(9))=16}[/tex]
−(−2 − n) please help
Answer:2+n
Step-by-step explanation:
1. distribute parentheses
=-(-2)-(-n)
2.apply minus-plus rules
=2+n
The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85. How much money should they leave for the bill and a 20% tip?
whats the slope of (10,8) and (-15, 18)
Answer:
[tex]m=-\frac{2}{5}[/tex]
Step-by-step explanation:
the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with
Answer:
it started off with 7 members
(read the whole explanation)
Step-by-step explanation:
Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.
If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,
hope this helps!!!!
Drag each percent to match the situation. Each percent may be used only once.
Answer:
#1 is 80% #2 is 95% #3 is 33⅓% #4 is 15%
Step-by-step explanation:
divide the smaller # by the bigger number, giving you a decimal. move the decimal 2 times to the right and that is your percentage.
The cost of 5 gallons of gasoline is $20. Write an equation to show the relationship between the cost, c, and the gallons of gasoline, g.
Answer:
the gas 4$
Step-by-step explanation:
5x=20
divide 5/5 to cancel the 5 then 20/5 and there you have it 4
19.796 to 1 significant figure
Answer:
The answer is 20
I hope this helps
A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get? DIvide and use in fraction form.
Answer: 2 1/4
Step-by-step explanation:
From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.
To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:
= 9 ÷ 4
= 2 1/4 cupcakes
Therefore, each person gets 2 1/4 cupcakes.
Determine, in general form, the equation of the line that goes through the
point (3,-6) and is perpendicular to the line shown: 5x + 3y + 9 = 0
Answer:
I got
y=3/5x -39/5
Step-by-step explanation:
Hope this helps
19/3+___+5/2=10 4/5 I don’t know it
Answer:
Blank space= 1.96
happy new year. eeeeeeeee e
Answer:
yeah happy new year but your answer is D
Step-by-step explanation:
I'm good at math
Answer:
Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?
A 9-yard roll of string costs $1.53. What is the unit price?
The equation of line L, is y= 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.
Answer:
Step-by-step explanation:
2y=10x-3( i arranged it to make it easier)
y=(10x-3) divided by 2
y=5x-1.5
they are parallel because they have the same gradient/slope number.