Answer:
y=4(3)^x
Step-by-step explanation:
The exponential function, that goes through points (0,4) and (6, 2916) is y = 4(3)ˣ
What is the exponential function?An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.
Given that, a graph of an exponential function is passing through, (0,4) and (6, 2916)
The exponential form of an equation is given by =
y = abˣ
Where, a is the y-intercept,
a = 4 here,
y = 4bˣ
Now substitute 6 for x and 2916 for y,
2916 = 4(b)⁶
b⁶ = 729
b = 3
Therefore,
y = 4(3)ˣ
Hence, the exponential function, that goes through points (0,4) and (6, 2916) is y = 4(3)ˣ
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Jaylen has a pet grooming business. In 2018, he groomed 200 dogs. In 2019, he groomed 450 dogs. What was the percent increase in the number of dogs groomed? Don't forget your % sign.
Answer:
Percentage increase= 125%
Step-by-step explanation:
Giving the following information:
2018= 200 dogs
2019= 450 dogs
To calculate the percentage increase, we need to use the following formula:
Percentage increase= [(2019 - 2018)/2018]*100
Percentage increase= [(450 - 200)/200]*100
Percentage increase= 125%
Simplify -1.5(-3.6+2)
Pleaseee people
Answer:
Your answer is 2.4
Step-by-step explanation:
Tickets to a football game cost $6 per ticket write and equation that represents this relationship between tickets purchased and total cost . Use t to represent the number of tickets purchased and c to represent the total cost
Given:
Tickets to a football game cost $6 per ticket.
To find:
The equation that represents this relationship between tickets purchased and total cost.
Solution:
Let t represents the number of tickets purchased and c represents the total cost.
Cost of 1 ticket = $6
Cost of t ticket = $6t
Since, c is the total cost oft tickets, therefore the equation for given situation is
[tex]c=6t[/tex]
Therefore, the required equation is [tex]c=6t[/tex].
Can someone please help me with this please?!
how many squares would have to be shaded to that 1/6 of the shape is shaded
Answer:
3 squares
Step-by-step explanation:
Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
Answer:
1
Step-by-step explanation:
1 part
i m sorry my small brother wrote it
4•f(6)-6•g(5)=?
i need help ASAP!
Answer:
6
Step-by-step explanation:
f(6) from the graph is -6
g(5) from the graph is -5
4*f(6)-6*g(5)=(4)(-6)-(6)(-5)=-24+30=6
17
The cost for dinner at a wedding venue in Austin is $32.50 per
person plus a rental fee of $475. Which equation can be used
to determine the total cost of dinner?
F(d) = 475d+ 32.50
G f(d) = 475 + 32.500
A fld) = 475d- 32.50
475/
I fld) = 32.500
Answer:
Step-by-step explanation:
Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.
Answer:
f(d) = 475 + 32.50dStep-by-step explanation:
Cost of dinner = $32.50 per personRental fee = $475Total cost per d persons:
f(d) = 475 + 32.50dLincoln High School's basketball team won the regional playoffs scoring a
total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?
Answer:
y = 8
x = 18
Step-by-step explanation:
(x + y = 26) x2 -1
2x+3y = 60 -2
2x+2y = 52 -1
2x+3y = 60 -2
Subtracting equation 2 from equation 1
= -y = -8
= y = 8
_____________________________________________________
2x+3y = 60
= 2x+3x8 = 60
= 2x+24 = 60
= 2x = 60-24
= 2x = 36
= x = 36/2
= x = 18
Divide 2x4- 4x3 - 11x2 + 3x - 6 by x + 2.
Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2.
f (–2) =
Need asap
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday they sold 72 child tickets and 36 adult tickets for $306. What is the cost of a child ticket?
Answer:
$2
Step-by-step explanation:
Let, price of individual child ticket is $x, and price of individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
and on Saturday we can write an equation is 72x+36y=306.....(2).
so, Equation 1: 55x+20y=200
Equation 2: 72x+36y=306
now, we are going to solve both equations.
after solving you will find x=2 and y=4.5
Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.
The cost of a child's ticket will be $2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
On Saturday we can write an equation is 72x+36y=306.....(2).
The first equation is:-
55x+20y=200
The second equation will be written as:-
72x+36y=306
Now, we are going to solve both equations. After solving you will find x=2 and y=4.5
Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.
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Can someone actually help me please
Answer:
The second one y<2x-6
Step-by-step explanation:
Based on the shading we can tell that the sign is going to always be shaded on the right side. We see the line is dashed (its kinda hard to see) but a dashed line means none of the points on it can be part of the solution. If it was a solid line it would be ≤ and we see it's not so its <
59.126 + 951.2 round to the nearest hundreths
Answer:
1010.33
(:
Step-by-step explanation:
The ratio of pens to pencils in Terrances case is 4:5. He has 16 pens.How many pencils does he have?
Answer:
20 pencils
Step-by-step explanation:
Ratio: 4:5 (4 to 5)
16: (?)
16 ÷ 4 (the 4 in 4:5) = 4
So:
4 x 5 = 20
Final Answer:
16:20
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has
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can you help me simplify this
Answer:
B) 17
Step-by-step explanation:
3(4)+5
12+5
Write the equation of the line that passes through the points (-6,8) and (8,8), Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line,
The number of female nurses in a country can be predicted using the function f(t)=7,300 + 25t, where t is the number of years since 2000. The number of male nurses can be predicted using the function m(t) = 2,500(1.02)t, where t is the number of years since 2000. About how many years will it take before the number of male nurses is expected to exceed the number of female nurses?
It take 2 years for the number of male nurses to exceed the number of female nurses.
Given:
f(t) = 7,300 + 25t
m(t) = [tex]2,500(1.02)^t[/tex]
To find the value of t at which m(t) > f(t).
Let's set up the inequality:
[tex]2,500(1.02)^t > 7,300 + 25t[/tex]
We can start with t = 0 (year 2000) and increment t until m(t) exceeds f(t).
For t = 0:
m(0) = [tex]2,500(1.02)^0[/tex] = 2,500
f(0) = 7,300
Since m(0) < f(0), increase t.
For t = 1:
m(1) = [tex]2,500(1.02)^1 =[/tex] 2,550
f(1) = 7,300 + 25(1) = 7,325
Since m(1) < f(1), increase t as
For t = 2:
m(2) = [tex]2,500(1.02)^2 =[/tex] 2,601
f(2) = 7,300 + 25(2) = 7,350
Since m(2) > f(2), the number of male nurses is expected to exceed the number of female nurses after 2 years since 2000.
Therefore, it will take about 2 years.
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Select three sets of numbers that can be the side lengths of a right triangle
5, 6, 8
7, 24, 25
8, 10, 12
20, 21, 29
12, 35, 37
Answer:
4th choice, 20, 21, 29 would be the answer.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)
therefore,
20^2 + 21^2 = 29^2
into
400 + 441 = 841,
which is true, makes the Pythagorean Theorem work.
unit 5 lesson 4.3 quiz answers
Answer:
There is nothing here to answer
Step-by-step explanation:
What is the radius and diameter of a circle 4.2 cm?
Answer:
is 4.2 the circumference
Step-by-step explanation:
Answer:
2.1 cm
Step-by-step explanation:
simplify the expression. -1/4 -(1 1/2)
Answer:
- 7/4
Step-by-step explanation:
Please help! ( WIll mark Brianliest )
Help
Answer:y= (3/4)x -7/4
Step-by-step explanation:
[y -(-1)]/[x - 1] = [2 -(-1)]/[5 - 1]
[y + 1]/[x - 1] = 3/4
y + 1 = (3/4)x - 3/4
y = (3/4)x - 7/4.
What is the length of DF? Round to the nearest hundredth.
Answer:
7.06
Step-by-step explanation:
This triangle can be solved a couple of ways. In the end, they amount to the same thing.
1) The area is ...
A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base
Using GE as the base, the height (DF) is ...
A = (1/2)(17)(DF)
2(60)/17 = DF = 120/17
DF ≈ 7.06
__
2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...
(long side)/(hypotenuse) = DE/GE = DF/DG
DF = DG(DE/GE) = 8(15/17) = 120/17
DF ≈ 7.06
What is the Answer to -14.5 + (-1.24)
Blank divided by 3/5=10/21
Answer:
Blank = 2/7
Step-by-step explanation:
Help plz suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem? Just do it plz
Answer:
Step-by-step explanation: sowwy I dunno
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Given :
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
To Find :
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Solution :
a) Linear equation of center A :
F = 35x + 60 ...1)
Linear equation of center B :
F = 45x ...2)
b) Let, after n months both fitness centers cost the same fee :
So, 35m + 60 = 45m
10m = 60
m = 6 months
Putting value of m in equation 1) or 2) is :
F = (35×6) + 60 = $270 or F = 45×6 = $270 .
Therefore, the cost when they have same fee is $270 .
Hence, this is the required solution.
Write a power that has a value greater than 140 and less than 145.
Answer:
[tex]12^{2}[/tex]
Step-by-step explanation:
To find: a power that has a value greater than 140 and less than 145
Solution:
Take [tex]x=12^{2}[/tex]
Here,
[tex]12^{2}=144[/tex] and [tex]140<144<145[/tex]
That is [tex]140<x<145[/tex]
Therefore,
[tex]12^{2}[/tex] has a value greater than 140 and less than 145.
What is the slope of the line in the graph?
Pls helppp
Answer:
y = 1x +1
Step-by-step explanation:
1 is your b, you go up 1 over 1, 1/1, which equals 1. so your awnser is y=1x+1 :)
PLEASE HELP ME WITH ALGEBRA!! THANK YOU!!
Answer:
Maybe -2,0,2,4 but I'm not sureee
Eekkkkk sorryy