Side View of a Waterslide
Select the points you need to calculate the
average rate of change from the beginning of the
slide to when the slide has covered a horizontal
distance of 15 feet.
800
O
(0, 80)
60
(5, 40)
OOO
Height (ft)
(10, 20)
(15, 10)
DONE
20
20
10
Horizontal Distance (ft)
Answers
Answer:
(0, 80)
(15, 10)
Step-by-step explanation:
The initial point the beginning of the point and the point where the horizontal distance covered is 15 ft are the two points needed to calculate the average rate of change required.
From the graph,
Initial point = (0, 80)
The point of the slide when distance covered is 15 ft = (15, 10)
These are the points needed.
Related Questions
express 0.484848..... in p/q form
Answers
It's in p/q form where p = 16 and q = 33.
=======================================================
Work Shown:
x = 0.484848.....
100x = 48.4848.....
I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out
100x - x = 99x
48.4848..... - 0.484848..... = 48
So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99
Divide both parts by the GCF 3 to fully reduce
48/3 = 16
99/3 = 33
Therefore, x = 48/99 = 16/33 = 0.484848...
I recommend using a calculator to confirm that 16/33 = 0.484848...
Side note: your calculator may round the last digit, but this is of course rounding error
Explain how you can use fraction strips or number lines to show that three fourths and six eighths are equivalent. plsssssss
Answers
Answer :
Refer to the fraction strip to show 3/4 & 6/8 are same.
Also if you reduce 6/8 by dividing 2 to numerator & denominator… it’s 3/4.
The solution is given below.
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
Refer to the fraction strip to show 3/4 & 6/8 are same.
Also if you reduce 6/8 by dividing 2 to numerator & denominator…
it’s 3/4.
The solution is attached below.
To learn more on number line click:
brainly.com/question/29162579
#SPJ2
NO LINKS!! Stat whether A and B are independent or dependent. Part 2
Answers
Answer:
Step-by-step explanation:
A). "If you do not study and fail the next test"
Two statements are combined in the given statement.
"If you don't study" and "fail the next test"
Second statement is the consequence of the first statement.
Therefore, events are dependent.
B). If you select a card from a deck and without replacing it, you select another card.
Here, selection of a card from a deck without replacing it doesn't affects the selection of another card.
Therefore, both the events are independent.
Consider this as a simultaneous-move (static) game:
Player B
Left Right
Top 2, 2 3, 2
Player A
Bottom 1, 3 1, 4
1a) Write down the Best Response Correspondence for each of the two players.
1b) Does any player have a dominant strategy in this game? Explain.
1c) Find all Nash Equilibria in pure strategies of this game.
1d) Is there any Nash Equilibria in mixed strategies?
Answers
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
For point a:
When Player A selects Top, Player B selects Left or Right.
Player B selects Right when player A selects Bottom
Thus, player B's best statement is correct.
When player B selects the left, then game A selects the top
When player B selects the right, player A selects the top
Hence, Player A's right response is Top.
For point b:
The main strategy inside the game is Player A, which would be Top. Since he won't choose Below except under situations since the payment to Bottom is below his payoff for Top irrespective of player B.
For point c:
Player A will purely pick Top & Player B right and player A also will pick Top and player B is right. Game A will's pattern. In this case, neither player has the motive to move away. There are two Nash balances since player B is paid the same amount, irrespective of what he's playing any strategy, as player A is always at the top.
For point d:
Consider if player B plays left with "q" probability and right with "1-q" probability. We're done
[tex]2q + 2(1-q) = 3q+4(1-q) \\\\2(1-q) - 4(1-q) = 3q - 2q \\\\-2(1 - q) = q \\\\-2 + 2q = q \\\\2q-q= 2 \\\\q= 2\\[/tex]
It is not possible since q is a chance that really can exceed 1. Hence, for this game, there is no mixed strategy nash balancing.
A drapery store manager was interested in determining whether a new employee can install vertical blinds faster than an employee who has been with the company for two years. The manager takes independent samples of 10 records of installations times of vertical blinds of each of the two employees and computes the following information. Test whether the new employee installs vertical blinds faster, on the average, than the veteran employee, at the level of significance 0.05.
New Employee Veteran Employee
Sample Size 10 10
Sample Mean 22.2 min 24.8 min
Standard Deviation 0.90 min 0.75 min
Required:
What is the appropriate conclusion for this test?
Answers
Answer:
we arrive at the conclusion that the new employee installs the vertical blinds faster on average.
Step-by-step explanation:
null hypothesis; m₁-m₂ =0
alternative hypothesis; m₁-m₂<0
Given the information in this question, we first have to solve for the t statistic
[tex]t=\frac{22-24.8}{\sqrt{\frac{0.90^{2} }{10}+\frac{0.75^{2} }{10} } }[/tex]
[tex]t=\frac{-2.6}{\sqrt{o.081+0.05625} }[/tex]
[tex]t=\frac{-2.6}{0.37047}[/tex]
t = -7.018
the degree of freedom = n₁+n₂-2
= 10+10-2
= 18
Alpha α = 0.05
from these results the t critical value = -1.734
because the test statistic -7.018 < -1.734,
at 0.05 level of testing, we arrive at the conclusion that the new employee installs the vertical blinds faster on average than the veteran.
Do you have any practice questions for grade 1 and 8 of math
Answers
Answer:
dear please focus on other subjects not only on math
need answer with step by step
Answers
Answer:
y = 6/5x -7
Step-by-step explanation:
Complete parts (a) through (c) below
a. A storage pod has a rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Alap pool has a length of 28 yards, a width of 20 yards, and a depth of 3 yards Find the poof's surface area (the water surface) and the total volume of water that the pool holds Raised flower bed is 30 feet long. 5 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds
The area of the floor of the pod is (Type an integer or a decimal)
The volume of the pod is (Type an integer or a decimal
b. The pool's surface area is (Type an integer or a decimal)
The total volume of the water that the pool holds (Type an integer or a decimal)
c. The area of the flower bed is (Type an integer or a decimal)
The volume of the soil that the flower bed holds is (Type an integer or a decimal)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Pool dimension :
rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor
Floor area = length * width
Floor area = 22 * 13 = 286 ft²
Volume of the pod :
Floor area * height = 286ft² * 7ft = 2002 ft³
2.)
Surface area = length * width
Surface area = 28 * 20 = 560 ft²
Volume of the pool :
Surface area * deptb = 560ft² * 7ft = 2002 ft³
3.)
Area of flower bed = length * width
Floor area = 30 * 5 = 150 ft²
Volume of the soil flowerbed holds :
Depth = 1.1 m
Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³
A study attempts to examine whether watching a lot of television or playing a lot of video games will have a detrimental effect on a child's academic success at school and/or their success at sports. he experiment is conducted on the basis that the age of the child will be important in determining this effect but the gender of the child will not. Select all the elements that are FACTORS of this experiment:
a. age of the child
b. gender of the child
c. time spend reading books over a year
d. time spent playing video games over a year
e. success at sports
f. academic success at school
g. time spent watching television over a year
Answers
Answer : A,D,G
Step-by-step explanation:
A factor of experiment is the controlled independent variable.
The factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
What is the factor of experiment means?A factor of experiment is the controlled independent variable.
Given information
The experiment is conducted on the basis of age.
The experiment is not conducted on the basis of gender.
In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.
Factors of this experiment-
a) Age of the child- As in the statement it is cleared, that the age of the child is a base of the experiment but the age can not be a controlled independent variable. Thus the age of the child is the not a factor of this experiment.b) Gender of the child-As for the study for the given problem, the gender is not important. Thus the gender of the child in not a factor of this experiment.c) Time spend reading books over a year-The study is to determine the relation between watching TV a lot or playing video game and child's academic success and not about reading books. Thus the time spend reading books over a year is not a factor of this experiment.d) Time spent playing video games over a year- The study is to determine the relation between playing video game and child's academic success or success in sports. Thus, time spent playing video games over a year is a factor of this experiment.e) Success at sports-As the success at the sports is the part of the study. Thus, success at sports is a factor of this experiment.f) Academic success at school- As the academic success at the school is the part of the study. Thus, academic success at school is a factor of this experiment.g)Time spent watching television over a year-The study is to determine the relation between a lot of television watching and child's academic success or success in sports. Thus, time spent watching television over a years a factor of this experiment.Thus the factor of experiments are,
d) Time spent playing video games over a yeare) Success at sportsf) Academic success at schoolg) Time spent watching television over a yearHence option d,e,f and g is the factor of experiment.
Learn more about the factor of experiments here;
https://brainly.com/question/840290
Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of lemonade, what is her total profit?
Answers
Answer:
£70.00
Step-by-step explanation:
You basically want to find what she spent in total, then subtract the amount she spent on ingredients.
50 glasses of lemonade at £2.10 each would be £105. (50*2.1)
Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)
The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
g(x) = f(x) - 2
g(x) = f(x + 2)
g(x) = f(x) + 4
O g(x) = f(x-4)
Answers
Answer:
g(x) = f(x) - 2
g(x) = f(x + 2)
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when x = 0.
Function f:
Graph given in this question
When [tex]x = 0, y = 6[/tex], so the y-intercept is 6.
Additionally, when [tex]x = -2, y = 4[/tex]
If g has a y-intercept at 4, which of the following functions could represent g?
Either we subtract 2 from f, that is:
[tex]g(x) = f(x) - 2[/tex]
Or we can also add 2 on the domain, that is, moving 2 units to the right, so:
[tex]g(x) = f(x+2)[/tex]
So the first two options are correct.
Answer:
the answer would be g(x)=f(x)-2
Step-by-step explanation:
i got it right
A flat rectangular piece of aluminum has a perimeter of 60 inches. The
length is 14 inches longer than the width. Find the width.
Answers
Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
The scatter plot below shows what kind of trend?
A positive trend
B no trend
C random trend
D negative trend
Answers
the answer is b no trend
What is 9+10-8(9)x2 using bedmas
Answers
-125
Step-by-step explanation:BEDMAS, like its counterpart BODMAS, is used as an acronym which gives the order of precedence of certain mathematical operations. It stands for:
B - Brackets
E - Exponentials
D - Division
M - Multiplication
A - Addition
S - Subtraction
This specifies the order in which arithmetic operations take place. That is brackets expressions should be solved first, followed by exponentials, then division and so on.
Using BEDMAS, let's solve 9+10-8(9)x2
Follow these steps;
i. Solve the bracket first.
9+10-72x2
ii. Next solve the multiplication
9+10-144
iii. Then solve the addition
19-144
iv. Now, the subtraction
-125
Therefore;
9+10-8(9)x2 = -125 using bedmas
The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is
Answers
9514 1404 393
Answer:
13120
Step-by-step explanation:
The sum of terms of a geometric series is ...
Sn = a1·(r^n -1)/(r -1)
You have n=8, a1=4, r=3, so the sum is ...
S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120
Answer:
13 120Step-by-step explanation:
hope it helps u too
Whats the equavalent to log8 64+log8 8
Answers
=log8(512)
=3
What is the LCM of 72,96,120
Answers
Answer:
LCM = 1440
Step-by-step explanation:
2 | 72 , 96 , 120
2 | 36, 48, 60
2 | 18 , 24 , 30
2 | 9 , 12 , 15
2 | 9 , 6 , 15
3 | 9 , 3 , 15
3 | 3 , 1 , 5
5 | 1 , 1 , 5
| 1 , 1 , 1
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 = 1440
What is the equation of the line that is perpendicular to the line defined by the equation 2y = 3x + 1 and goes through the point (3, 2)?
options:
y = - 1/3 x + 3
y = -2/3x + 4
y = 1/3x – 1
y = 2x – 4
y = 6x + 5
Answers
Answer:
Step-by-step explanation:
In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:
2y = 3x + 1 in slope-intercept form is
[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] . Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):
[tex]y-2=-\frac{2}{3}(x-3)[/tex] and
[tex]y-2=-\frac{2}{3}x+2[/tex] so
[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.
1. A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide, how long is it?
234 inches
294 inches
181.5 inches
412.5 inches
.
Answers
Answer:
294 in
Step-by-step explanation:
set a ratio w/l
11/14
set it equal to 231/x
x = length
[tex]\frac{11}{14}[/tex] = [tex]\frac{231}{x}[/tex]
cross multiply
11x = 3234
divide by 11
x = 294
2n-3>15, select all values of n would make this inequality true, options are 2, 5, 9, 10, 12
Answers
9514 1404 393
Answer:
{10, 12}
Step-by-step explanation:
The inequality can be simplified to ...
2n -3 > 15 . . . . given
2n > 18 . . . . . . add 3
n > 9 . . . . . . . . divide by 2
Only two listed numbers are greater than 9:
10, 12
Find each event probability
Answers
Answer:
Event 4 (0%), Event 2 (45%), Event 3 (80%), Event 1 (100%)
Step-by-step explanation:
Ik desperate please help the question is:
how many times more people will there be in the town after 15 years than after 10 years??? I need help ASAP!??!?!?!?!? 20 points?!?!?!!
pleaseeeee
Answers
Answer:
good point I don't know that either
Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?
Answers
Answer:
21 bows
Step-by-step explanation:
Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.
Find f(2) if f(x) = (x + 1).
Answers
Answer:
The awnser should be 3.
Step-by-step explanation:
if f(x) means the same thing as x + 1. Than that means f = 1. So if re write the question. 1 plus 2 equals 3.
Will mark brainlest!!!
Answers
Step-by-step explanation:
We have,
[tex]g(x)=x^3+x^2-x-2[/tex]
To find g(-1), put -1 in place of x i.e.
[tex]g(-1)=(-1)^3+(-1)^2-(-1)-2\\\\=-1[/tex]
To find g(1), put 1 in place of x i.e.
[tex]g(1)=1^3+1^2-1-2\\\\=-1[/tex]
To find g(2), put 2 in place of x i.e.
[tex]g(2)=2^3+2^2-2-2\\\\=8[/tex]
g(2) + g(1) = 8+(-1)
= 7
Hence, this is the required solution.
Answer:7
Step-by-step explanation: mark brainliest pls lol
What single transformation maps AABConto AABC?
Answers
Answer:B
Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes together.
Which equation could be used to find the number of lattes, x, sold at café
Answers
Answer:
x=6
Step-by-step explanation:
What is the slope of the line that passes through the points (10, 5) and (15,20)? Write your answer in simplest form.
Answers
Answer:
3
Step-by-step explanation:
(10, 5) and (15,20)
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (20 - 5) /(15 - 10)
m = 15/5
m = 3
What is the difference between 5d and d ⁵ ?
Answers
If you’re asking to subtract then it’d be written as 5d - d^5
please help meeeeeeeee
pt 3
Answers
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
