Answer:
It is growth and the percentage increase is 46%
Step-by-step explanation:
The general form of an exponential function is;
Y = I(1 + r)^n
where Y is the present value, I is the initial, r is the growth or decay ratio, n is the number of times
To know if an exponential function is growth or decay, we need to know the repeating factor
If repeating factor is greater than 1, we have growth, if otherwise we have decay (less than 1).
As we can see in this case, we have r greater than 2, so what we have is growth
To get the percentage increase since it is growth, we equate;
1.46 = 1 + r
r = 1.46-1
r = 0.46 which is same as 46%
At a club fundraiser a group of students washed 84 cars in one weekend. The next weekend, they washed 112 cars. What was the percent increase in the nunbers of cars washed?
Answer:
33.33%
Step-by-step explanation:
The computation of the percentage increase in the number of car washed is as follows;
= (Number of cars washed in next weekend - number of cars washed in one weekend) ÷ (number of cars washed in one weekend)
= (112 cars - 84 cars) ÷ (84 cars)
= 28 cars ÷ 84 cars
= 33.33%
1
Find the value of the variables.
b
30°
a
12
60°
a-
b =
Answer:
a=6
b=10.39
Step-by-step explanation:
a=sin 30x12 or a=cos60x12
a=6
b=cos 30x12 or b=sin60x12
b=10.39
Joanne interpreted the solution to mean that Shirts For All sold 300 tie-dye shirts and 200 white shirts. Is she correct? If not, what is her mistake? Yes, Joanne is correct. No, she did not use the point of intersection. No, she put the values with the wrong variables. No, she needs to use the intercepts for the values.
Answer: C
Step-by-step explanation:
Answer:
C)No, she put the values with the wrong variables.
Step-by-step explanation:
write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1
Answer:
0, -1, 1, 1, 1Step-by-step explanation:
Given recursive formula
a₁ = 0 aₙ = 2(aₙ₋₁)² - 1, for n>1The first 5 terms are:
a₁ = 0a₂ = 2(0)² - 1 = 0 - 1 = -1a₃ = 2(-1)² - 1 = 2 - 1 = 1a₄ = 2(1)² - 1 = 2 - 1 = 1a₅ = 2(1)² - 1 = 2 - 1 = 1Jen used 1/2 cup of cereal and 2/3 cup of nuts to make trail mix. Her mother asked if she used more cereal or more nuts in the mix. Which statement correctly compares the fractions?
1/2<2/3. 1/2= half of a whole and half of a whole is 1/2. 2/3 is over a half so it means that 2/3 is better then 1/2 since 1.5 is actually the half of 3. Jen should say that she used more nuts to make trail mix then using cup of cereal to make trail mix because 2/3 is greater then 1/2.
calmi goes scuba diving she descends 18-ft in 3 minutes which expression represents the average rate at which cami position changes in feet per minute
What is the slope for y= -8x + 3
A) -8
B) -5
C) 3
D) 8
Mae Ling earns a weekly salary of $335 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,500 worth of merchandise? She would makes
Answer:
$695
Step-by-step explanation:
Her salary can be shown through the following linear equation
salary=.08x+335
Where x is the amount of sales
To find her salary if she sells 4500 worth of merchandise you just simply need to plug 4500 in for x this means that
salary=.08*4500+335
I get $695
A 12-meter ladder leans against a building forming a 30° angle with the building.
Exactly how high is the ladder on the building in meters? Round to the nearest hundredth
(2 digits after the decimal).
Answer:
will show you two (2) ways to solve this problem.
A diagram is needed to see what is going on....
Without loss of generality (WLOG)
The wall is on the right. The ladder leans against the wall
with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).
The measure from the bottom of the ladder to the wall is 6.
Option 1:
The ladder, ground and wall form a right triangle.
The hypotenuse (ladder) is 14 feet.
The bottom of the ladder is 6 feet from the wall,
so the base of this right triangle is 6 feet.
The top of the ladder to the ground represents
the missing leg of the right triangle.
The pythagorean theorem applies, which says
6^2 + h^2 = 14^2 where h is the height
of the top of the ladder to the ground
36 + h^2 = 196
h^2 = 196 - 36
h^2 = 160
h = sqrt(160)
= sqrt(16 * 10)
= sqrt(16)* sqrt(10)
= 4*sqrt(10) <--- exact answer
= 4 * 3.16227766016838....
= 12.64911....
12.65 <--- rounded to 2 digits as directed
----------------------------------------------
Option #2: using trig
With respect to the angle formed by the bottom of the
ladder with the ground
cos T = 6/14 = 3/7
T = inverse-cosine(3/7) = 64.623006647 degrees
sin(64.623006647) = h/14
h = 14*sin(64.62300647) = 12.6491106 <--- same answer
hope this helps
Step-by-step explanation:
help me out I’m confused.
Answer:
33
Step-by-step explanation:
55²- 44²= 1089
square root of 1089 = 33
Find the value of x in the triangle. SU RV
Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
[tex]\frac{TS}{TR}[/tex] = [tex]\frac{TU}{TV}[/tex] , substitute values
[tex]\frac{x}{x+16}[/tex] = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
John buys a Seahawks beanie that cost $18, but is on sale for 20% off. Jane
buys a Seahawk scarf that costs$25, but is on sale for 25% off. Find the
difference in the amount John and Jane paid, after the discounts. Write
and solve proportions to find the answer, round your answer to the nearest
cent, and include units. *
Answer:
18/100 X 80 =14.40
25/100 X 75 =18.75
18.75 - 14.40 = 4.35
Ryan has 48 baseball cards. If Ryan gives 2/6 of his 48 cards to Max, how many cards does he give Max?
Answer:
16 baseball cards
Step-by-step explanation:
Since Ryan has 48 baseball cards
If he gives 2/6 of his 48 baseball cards to Max
= 2/6 × 48
= 16
It means that Ryan gives 16 of his baseball cards to Max
What is the solution to -32 + x = 53 ?
Answer:
positive 85
Step-by-step explanation:
What is the mean absolute deviation of Evelyn's
scores?
5
125
137
138
145
145
O 5.1
O 5.6
O 5.8
13
1
0
7
7
07
Answer:
Step-by-step explanation:
5.6
Answer:
5.6 on edge
Step-by-step explanation:
ur welcome :)
josefina pain rent for 5 months. She paid a total of $2045. how much did she pay per month?
Answer:
$409 per month
Step-by-step explanation:
If josefina paid $2045 over a time period of 5 months, then we have to divide how much she paid ($2045) by 5 to find out how much she paid for rent in 1 month.
We can use the equation: 2045 ÷ 5
When we solve that equation, we get 409 which means that josefina paid $409 per month for rent.
(sorry if this is confusing but I hope it helped)
I dont really understand it HELP :/
Answer:
help
/hɛlp/
Learn to pronounce
verb
1.
make it easier or possible for (someone) to do something by offering one's services or resources.
"they helped her with domestic chores"
Similar:
assist
aid
help out
lend a hand to
lend a helping hand to
give assistance to
come to the aid of
succour
aid and abet
be of service to
be of use to
be useful to
do someone a favour
do someone a service
do someone a good turn
bail/bale someone out
come to someone's rescue
give someone a leg up
cooperate with
do one's bit for
rally round
pitch in
chip in
save someone's bacon
save someone's skin
muck in with
get stuck in with
Opposite:
hinder
2.
serve someone with (food or drink).
"may I help you to some more meat?"
noun
the action of helping someone to do something.
"I asked for help from my neighbours"
Similar:
assistance
aid
a helping hand
support
succour
advice
guidance
solution
benefit
use
advantage
service
comfort
avail
cooperation
collaboration
backing
encouragement
a shot in the arm
Opposite:
hindrance
exclamation
used as an appeal for urgent assistance.
"Help! I'm drowning!"
Definitions from Oxford Languages
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Translations and more definitions
People also ask
What is a fancy word for help?
Step-by-step explanation:
You plan to purchase a plane ticket for $299.00 and you are going to use a discount code to
receive 15% off. How much will the ticket cost AFTER the discount?
Answer:
$44.85
Step-by-step explanation:
15/100 * $299.00= $44.85
What expression is equivalent to 5/6 divided by 7
Answer:
5/42
Step-by-step explanation:
write the equation for the parabola that has x-intercepts (2,0) and (3,0) and y intercept (0,-1.2)
Answer:
i think its y=-0.2x^2+x-1.2
Step-by-step explanation:
i could be wrong tho ngl
The equation of the parabola with x-intercepts (2,0) and (3,0) and y-intercept (0,-1.2) will be y = (-1/5)(x - 2)(x - 3).
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
The equation of a parabola is written as,
y = a(x - b)(x - c) here b and c are two x-intercepts while (a,y) is the y-intercept.
As per the given,
x-intercept = (2,0) and (3,0)
y-intercept = (0,-1.2)
y = a(x - 2)(x - 3)
-1.2 = a(0 - 2(0 - 3)
a = -1/5
Thus,
y = (-1/5)(x - 2)(x - 3)
Hence "The equation of the parabola with x-intercepts (2,0) and (3,0) and y-intercept (0,-1.2) will be y = (-1/5)(x - 2)(x - 3)".
To learn more about graphs,
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Grace cut 3 pieces of ribbon; each piece was 25 of a foot long. How many feet of ribbon does she have in all? Express your answer as a mixed number
Answer:
1 1/5
Step-by-step explanation:
3 x 2/5 = 6/5 = 1 1/5
jenny is 12 years older than Steve. five years ago, Jenny was four times older than steve was then. how old are each of them now
Answer:
Jenny 21 years old and Steve 9 years old
Four bags of dry dog food plus 9.5 pounds of dry cat food weigh pounds in all. How many pounds does each bag of dog food weigh?
Answer:
Each bag of dog food weighs 2 pounds
Step-by-step explanation:
Here is the complete question:
Four bags of dry dog food plus 9.5 pounds of dry cat food weigh 17.5 pounds in all. How many pounds does each bag of dog food weigh?
Step-by-step explanation:
From the question,
Four bags of dry dog food plus 9.5 pounds of dry cat food weigh 17.5 pounds in all.
Let the weight of one bag of dry dog food be x.
Then we can write that
4x + 9.5 pounds = 17.5 pounds
To determine x, subtract 9.5 pounds from both sides
4x + 9.5 pounds - 9.5 pounds = 17.5 pounds - 9.5 pounds
4x + 0 = 8 pounds
4x = 8 pounds
Divide both sides by 4
4x/4 = 8 pounds/4
x = 2 pounds
∴ The weight of one bag of dry dog food is 2 pounds.
Hence, each bag of dog food weighs 2 pounds.
Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB? 6 units 7.6 units 9.5 units 12 units
Answer:
[tex]AB = 6[/tex]
Step-by-step explanation:
Given
[tex]BC = 3.8[/tex]
[tex]A'B' = 15[/tex]
[tex]B'C' = 9.5[/tex]
Required
Determine the length of AB
Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:
[tex]A'B' : AB = B'C' : BC[/tex]
Substitute values for A'B', B'C' and BC
[tex]15 : AB = 9.5 : 3.8[/tex]
Express the ratio as fractions:
[tex]\frac{AB}{15} = \frac{3.8}{9.5}[/tex]
Multiply through by 14
[tex]15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15[/tex]
[tex]AB = \frac{3.8}{9.5} * 15[/tex]
[tex]AB = \frac{3.8* 15}{9.5}[/tex]
[tex]AB = \frac{57}{9.5}[/tex]
[tex]AB = 6[/tex]
Answer:
A. 6 units
Step-by-step explanation:
I got it right on edge.
An 8th grade class project involves decorating a rectangular box with the following dimensions.
length: 12 inches
width:834 inches
height:1012 inches
What is the total surface area of this box to the nearest hundredth?
Answer:1500
Step-by-step explanation: so i got the anwser 1539.2 and just rounded to the nearest hundredth which is 1500 hopefully it helps!
Sunita is buying five posters that are all the same price the store has a sale that takes $3 off the regular price of each poster she pays a total of $63 she wants to know the regular price of one poster
Answer:5(p-3)=63
Step-by-step explanation:
Write the equation of the line in point slope form , explain thanks !
the answer is ( 6,19) ......
What is the perimeter of the triangle, the left diagonal side is 6.1in, the right diagonal side is also 6.1in, the bottom line is 7in, and there is a line in the middle from top to bottom which is 5in. What is the perimeter of the triangle?
Answer:
19.2 inches
Step-by-step explanation:
6.1 + 6.1 + 7 = 12.2 + 7 = 19.2
perimeter is the outside distance of the shape so you don't need to know the altitude (or height) equals 5.
Rapid rental car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas and $0.35 per mile. For how many miles is the rental cost at both companies the same
Answer:
The cost would be the same for 100 miles & Total cost would be $80.
Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are parallel because they have the same slope of −2. They are parallel because they have the same slope of one half. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept. They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.
The lines 6x + 3y = 12 and 4x + 2y = 8 lie exactly on top of one another because they have same slope and same y intercept.
What are the coincident lines?The lines which coincide or lie on the top of each other are called coincident lines.
When the two lines coincide to each other?Two lines coincide to each other when they have same slope and same y intercept.
According to the given question.
We have two equation of lines.
[tex]6x + 3y = 12...(i)[/tex]
And, [tex]4x + 2y = 8...(ii)[/tex]
The equation (i) can be written as
[tex]2x + y = 4[/tex]
And equation (ii) can be written as
[tex]2x + y = 4[/tex]
Since, both the lines have same slope and same y intercept. Therefore, the given two lines coincide to each other.
Hence, the lines 6x + 3y = 12 and 4x + 2y = 8 lie exactly on top of one another because they have same slope and same y intercept.
Find out more information about coincident lines here:
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