Answer:
0.39
Step-by-step explanation:
The quantity of an element is decaying over time such that the amount of material
any time is given by the function F(t) = 6700(0.7)3t. Write an equivalent function
of the form F(t) = abt.
The equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]
Exponential functions:Give the exponential function in a general sense as y = ab^x
Given the exponential function [tex]F(t) = 6700(0.7)^{3t}[/tex]We are to write it in the form [tex]f(t) = ab^t[/tex]
This can be further expressed as;
[tex]F(t) = 6700(0.7)^{3t}\\F(t) = 6700(0.7^3)(0.7^t)\\F(t)=2,298.1(0.7)^t[/tex]
Hence the equivalent function in the form y = ab^x is [tex]F(t)=2,298.1(0.7)^t[/tex]
Learn more on exponential function here: https://brainly.com/question/12940982
For all values of x,
f(x) = 2x - 3
and
g(x) = x2 + 1
a) Find fg(x).
Simplify and give your answer in the form ax2 + b
b) Find gf(x).
Simplify and give your answer in the form ax2 + bx + c
I DONT NEED THE ANSWER TO A, I JUST NEED B
Answer:
The composition g(f(x)) is:
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Step-by-step explanation:
b) g(f(x)) is a function composition.
So we will have:
[tex]g(f(x))=(f(x))^{2}+1[/tex]
[tex]g(f(x))=(2x-3)^{2}+1[/tex]
[tex]g(f(x))=4x^{2}-12x+9+1[/tex]
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Here:
a is 4
b is -12
c is 10
I hope it helps you!
How do you write 60.39% as a decimal?
Answer: 0.6039
Step-by-step explanation:
Answer:
60.39% = 0.6039
Step-by-step explanation:
To write it as a decimal we have to divide it by 100.
60.39% ÷ 100 = 0.6039
Your brother is driving 40 km/hour when he slams on his brakes to avoid
hitting a dog crossing the road. if it takes him 5 seconds to stop, what is his
rate of acceleration?
A. 8 km/hr/sec
B. 40 km/hr/sec
C. 45 km/hr/sec
D.200 km/hr/sec
Answer:
8
Step-by-step explanation:
40 divided by 5 is 8 :D
Answer: A. 8 km/hr/sec
Step-by-step explanation:
You divide 40 by 5
40/5
which you'll get
8
What is the function
X
- 1
0
1
2
3
у
-1
-0.5
0
0.5
1
The table represents
a linear function.
Write the function.
y=
Answer:
Step-by-step explanation:
x y Difference (d)
-1 -1 -
0 -0.5 -0.5 - (-1) = 0.5
1 0 0 - (-0.5) = 0.5
2 0.5 0.5 - 0 = 0.5
3 1 1 - 0.5 = 0.5
There is a common difference (d) = 0.5
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here, m = Slope and b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points from the given table are (-1, -1) and (0, -0.5)
m = [tex]\frac{-0.5-(-1)}{0-(-1)}[/tex]
m = 0.5
Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)
Therefore, equation of the line will be,
y = 0.5x - 0.5
5.
In the expression 2a + 3b – 4c, 2a, 3b, and –4c are examples of _____
A. operations.
B. like terms.
C. equations.
D. terms.
1: Ye all of them are terms except the “+”
2: 2a, 3b, and -4c are examples of terms
3: Terms they are examples of terms.
4: Answer:
2a, 3b and -4c are examples of terms.
Step-by-step explanation:
Given : Expression
To find : 2a, 3b and -4c are examples of ?
Solution :
We have given the expression
A term is made up of a constant multiplied by a variable.
In the given expression,
Variables are a, b and c.
Constant are 2,3 and -4.
So, 2a, 3b and -4c will make a term.
Therefore, 2a, 3b and -4c are examples of terms.
Answer:
D. terms.
Step-by-step explanation:
Terms they are examples of terms.
Answer:
2a, 3b and -4c are examples of terms.
Step-by-step explanation:
Given : Expression
To find : 2a, 3b and -4c are examples of ?
Solution :
We have given the expression
A term is made up of a constant multiplied by a variable.
In the given expression,
Variables are a, b and c.
Constant are 2,3 and -4.
So, 2a, 3b and -4c will make a term.
Therefore, 2a, 3b and -4c are examples of terms.
HELP MEH PLZZZZZZZZZZ
Solve 56 > -7x
Thank you!
Answer:
-8 > x
Step-by-step explanation:
56 divided by -7 = -8
-8 > x
make sure to double check before turning it in!
what is 100 divide by 1,000?
Answer:
0.1
Step-by-step explanation:
help me pls i need you guys help
can someone help i have several questions like this i also need the work shown
Answer:
x = 8
Step-by-step explanation:
Create the expression:
10(x + 10) = 9(9 + 11)
Do PEMDAS (Parenthesis):
10(x + 10) = 9(20)
Do PEMDAS (Multiplication):
10x + 100 = 180
Cancel out:
10x + 100 = 180
-100 -100
10x = 80
Simpilfy:
x = 8
Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?
Answer:
there the same ratio because there both offering the same ratio of of there number
3x10=30 ratio : 10
2x10=20 ratio: 10
Step-by-step explanation:
Connor invested $8,000 in an account paying an interest rate of 82% compounded
monthly. Henry invested $8,000 in an account paying an interest rate of 8 %
compounded daily. After 5 years, how much more money would Henry have in his
account than Connor, to the nearest dollar?
Answer:
Connor would have $83.37 more than Henry.
Step-by-step explanation:
Connor:
Initial investment= $8,000
Interest rate= 8.2% = 0.082/12= 0.00683
Number of periods= 12*5= 60 months
Henry:
Initial investment= $8,000
Interest rate= 8% = 0.08/365= 0.00022
Number of periods= 365*5= 1,825 days
To calculate the future value, we need to use the following formula on each investment:
FV= PV*(1+i)^n
Connor:
FV= 8,000*(1.00683^60)
FV= $12,035.35
Henry:
FV= 8,000*(1.00022^1,825)
FV= $11,951.98
Difference= 12,035.35 - 11,951.98= $83.37
Connor would have $83.37 more than Henry.
pleaseee help meeee i need help
Answer:
[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]let's solve:[tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex][tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]Please help show work
Answer: 17 is A and 18 is B
17) 2(3x8)+2(3x6)+2(6x8) = 180
18) 4(9x2)+2(9x9) = 234
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
Lines m and n are parallel. The measure of angle 6 is 55 114 57.6 3 What is the measure of angle 1? 1552
Answer:
125 degree
Step-by-step explanation:
As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.
If it is helpful, please give me Brainliest.
How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B
Thanks and please shows steps. I will vote best answer and helpful and do more.
Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)
Calculate the geometric mean of 12 and 20
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
PLS HELP DUE AT MIDNIGHT
Answer:
m<BDC = 60 degrees
Step-by-step explanation:
m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.
All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.
Rationalise the denominator
(1+5√)/2√
plz help
with working plz
Given:
The radical expression is
[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]
To find:
The value of the given expression after rationalizing the denominator.
Solution:
We have,
[tex]\dfrac{1+\sqrt{5}}{\sqrt{2}}[/tex]
Multiply numerator and denominator by [tex]\sqrt{2}[/tex].
[tex]=\dfrac{(1+\sqrt{5})\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}[/tex]
[tex]=\dfrac{\sqrt{2}+\sqrt{5}\sqrt{2}}{2}[/tex]
[tex]=\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
Therefore, the required expression after rationalizing the denominator is [tex]\dfrac{\sqrt{2}+\sqrt{10}}{2}[/tex].
Can someone pleade help me on this question 8
WILL GIVE BRAINLIEST! NEED INSTANT HELP! NEED ANSWER FAST!
The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.
Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s
Answer:
vi = 16ft/s
Step-by-step explanation:
96 = 16(2)² + 2v
2v = 96 - 64
2v = 32
v = 16
Use this number line to help you answer the question. What is the opposite of 4? 30 points
Answer:
The opposite of 4 is -4
Step-by-step explanation:
Hope this helps.
I need help on Part A and Part B pls!!!
The first two photos are part A and the last photo is part B!!!
Which two lines are parallel?
5y = 2x-5
5y= 4 + 3x
5y- 3x = -1
Answer:
5y=4+3x, 5y-3x=-1
Step-by-step explanation:
To be parallel they must have different constants but the same slope.
5y-3x=-1
5y=-1+3x and 5y=4+3x fit these requirements.
1) To the nearest tenth of a foot, what is the distance from the wall to
the base of the ladder?
A) 1.9 feet
B) 2.1 feet
C)45 feet
D) 10.7 feet
2) To the nearest tenth of a foot, what is the height at which the ladder
rests against the wall?
A) 2.1 feet
B) 3.7 feet
C) 45 feet
D) 10.7 feet
Answer:
1) B
2) 4.5 feet
Step-by-step explanation:
Please see the attached picture for the full solution.
Given f (x) = 13.x – 3, what is f(-3)?
Answer: f would be 1 i think
Step-by-step explanation:
Answer:
7.
Step-by-step explanation:
Substitute -3 for x, and evaluate the expression to get 7.
a library has 3489 non-fiction books,8617 fiction books and 1,240 reference books.All books,except the reference books,are available for loan(borrow).How many books are availabe for loan?
the owner of a food cart sells an average or 120 frozen treats per day during the summer
Answer:
uhhh ok
Step-by-step explanation: