Answer:
B) Exp. Decay
Step-by-step explanation:
Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.
The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Function; f(x)=2(1/7)^x
Now,
The function has the form f(x)=abx
where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.
Therefore, by the given function the answer will be Exponential Decay.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Find both the area and the perimeter of the semi circle
Answer/Step-by-step explanation:
Area of a semicircle = ½πr²
Perimeter of a semicircle = πr + d
7. d = 14 m
r = ½ of d = 7 m
Area = ½*π*7² = ½*π*49
✅Area = 76.97 m² (nearest hundredth)
Perimeter = π*7 + 14
✅Perimeter = 35.99 m (nearest hundredth)
8. d = 35 in.
r = ½ of d = 17.5 in.
Area = ½*π*17.5² = ½*π*306.25
✅Area = 481.06 in.² (nearest hundredth)
Perimeter = π*17.5 + 35
✅Perimeter = 89.98 in (nearest hundredth)
a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?
Answer:
The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..
Hello, please help.
Find the value of x:
x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3
Answer:
-91x² + 5x³ - 56x -15 = 0
Step-by-step explanation:
x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³
x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²
-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³
-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x
-91x² + 5x³ - 56x + 9 - 24 = 24 - 24
-91x² + 5x³ - 56x -15 = 0
Hope this helps!
Maybe brainliest?
The statement "one-eighth the age, a" can be expressed algebraically as ?
Answer:
1/8a
Step-by-step explanation:
What's the slope of -x+2y=5
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.
Any help? I'm having trouble.
Answer: Decay bc its less than 1.00 (proven by the exponential decay equation)
Step-by-step explanation:
percent would be 1.00-0.96= 0.04 , 4%
one glacier advanced 3.63 cm in 3 days. Another glacier retreated 5.75 cm in 5 days. If each glacier moved the same amount each day, which glacier is moving faster? justify your answer.
Answer:
glacier one is moving faster
Step-by-step explanation:
rate at which Glacier 1 is moving:
3.63 / 3 = 1.21 cm per day
rate at which Glacier 2 is moving:
5.75 / 5 = 1.15 cm per day
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
(1) The ratios 18:3 and 6:1 are equivalent. Why?
Answer:
Because if you take 18:3 and divide both sides by 3, you will get 6:1
Step-by-step explanation:
Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.
Which pair of ratios forms a proportion?
A 7 15
10 18
B 5 15
9 27
C 3 15
10 25
When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?
Convert 199º to radians. Round to 2 decimal places.
Answer:
3.47
Step-by-step explanation:
Answer: 199π/180
Step-by-step explanation:
The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]
In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.
Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.
Hope this helps :)
A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0
Answer:
a) New price = 0.86 * Original price
b) New price = 0.86 * 48200 = $41452
Step-by-step explanation:
Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A
Answer:
C. Similar - AA
Step-by-step explanation:
From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.
If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.
The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.
helppppppppppp pleaseeee
Answer:
25
Step-by-step explanation:
1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police officer writes in a week is normally distributed, what is the probability that an officer writes more than 60 tickets in a week?
Answer:
3/5
Step-by-step explanation:
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
please help me!! i will mark brainliest!!
Answer:
350?
Step-by-step explanation:
Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3
Answers:
B. y = 2x + 3
hope this helps
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.
Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?
Answer:
$76,487.50
Step-by-step explanation:
Use the graph to write a linear function that relates y to x.
The linear function is y=?
Answer:
identify the value that is intercepting y-axis !!
Step-by-step explanation:
in this case it is 1
what is the result of subtracting the secound equation from the first -4x-2y=-2 x-2y=9
Answer:
When we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.
Therefore, the required result is:
x = 11/5
Step-by-step explanation:
Given
The first equation
[tex]-4x-2y=-2[/tex]
The second equation
[tex]x-2y=9[/tex]
Let us subtract the second equation from the first equation
[tex]-4x-2y=-2[/tex]
[tex]-[/tex]
[tex]\:\underline{x-2y=9}[/tex]
[tex]-4x - 2y - (x - 2y) = -2 - 9[/tex]
[tex]-4x -2y -x + 2y = -2-9[/tex]
[tex]-5x = -11[/tex]
divide both sides by -5
[tex]\frac{-5x}{-5}=\frac{-11}{-5}[/tex]
Simplify
[tex]x=\frac{11}{5}[/tex]
Thus, when we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.
Therefore, the required result is:
x = 11/5
Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work
Answer:
Step-by-step explanation:
3x - 3y = -3
2x - 6y = 2
-6x + 6y = 6
2x - 6y = 2
-4x = 8
x = -2
-4 - 6y = 2
-6y = 6
y = -1
(-2, -1)
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answer:
15
Step-by-step explanation:
TIMED QUESTION HELP FAST
Answer:
D
Step-by-step explanation:
A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).
C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].
So D is the correct answer by elimination.
Factorise 12x^2 + 8x^3
Answer:
The answer is 4x^2 (3+ 2x)
Step-by-step explanation:
Factor 4 x ^2 out of 12 x ^2 + 8 x ^3 .
hoped this helped!
brainly, please?
PLZ HELP!!
What is the ratio of a:b, knowing that a-b/a+b=3/5
Answer:
1 : 4
Step-by-step explanation:
5(a - b) = 3(a + b) = 5a - 5b = 3a + 3b
2a - 5b = 3b
2a = 8b
2/8 is 1/4 simplified