Answers
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet2. t = 2
f(2) = -16(2)² + 16(2) + 12 = -20 feet⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet
⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]
Taking f(x) = 0 [surface of water → just touching/hit the water]
0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds⇒ After 1 second, she is 12 feet above the water
⇒ The diving board is 12 feet above the water
Related Questions
You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 4 and then picking an odd number?
Answers
Answer:
2/9Step-by-step explanation:
All numbers:
2, 3, 4 → 3
Numbers less than 4:
2 and 3 → 2
Odd number:
3 → 1
The probability of picking a number less than 4:
2/3The probability of picking an odd number:
1/3The probability of picking a number less than 4 and then picking an odd number:
2/3 · 1/3 = 2/9Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %
Answers
Step-by-step explanation:
Given:-
MP = Rs 540. Discount = 5 %To Find:-
Sell priceSolution:-
SP = MP - Discount.
MP = Marked Price ( Also called List Price) SP = Selling Price.Discount = (Discount %) of MP
Discount = (5/100) 54p
Discount = 27 Rs
Subtract discount from MP to get SP
SP = MP - Discount
SP = 540 - 27 Rs
SP = 513 Rs
Answer;
soln;
MP= Rs 540
discount = 5%
now,
SP = MP - D% of MP
= 540 - 5/100 * 540
=Rs 513
Scale word problem
Someone please help!!
Answers
Answer:
60.6 cm length
43.2 cm width
Step-by-step explanation:
The scale is 1 m = 6 cm
Take the length in meters, multiply it by 6, and change the unit to cm.
10.1 m becomes 10.1 × 6 cm = 60.6 cm
7.2 m becomes 7.2 × 6 cm = 43.2 cm
pls help
If we know that 455 students are in school today and that number represents 70% attendance. Use the following equation .70s=455 to figure out how many students are in the school. *
A 650
B 318
C 485
D 620
Answers
455*100/70=650
650/100*70=455
6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?
huh its was so hardd can someone explain and solve it for me? :(
Answers
Answer:
he will arrive at work by 9:25 to push the time but its rea£y 9:20
Steps:
Time to travel is 00:20
Start time is 08:55
Time of arrival is ?
20 minutes from 8:55.
An hour has 60 minutes.
There is 5 more minutes until 09:00.
20 - 5 = 15
15 minutes from 09:00 is 9:15.
What is equilibrium, from an economic perspective? a. the theoretical price point at which demand equals supply b. a state of "all other things being equal" c. a condition in which no buying or selling is occurring d. an economy functioning without outside intervention
Answers
Answer:
A theoretical price point at which demand being equal
The theoretical price point at which demand equals supply is the correct answer.
What is equilibrium?Equilibrium is a state of balance or condition of stableness.
In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.
It is a situation in which conditions cannot be changed by any economic agent strategy.
There are some properties of equilibrium
1. Consistency in the behavior of agents.
2. No economic agent has an incentive to change the behavior.
3. Equilibrium is the outcome of a few dynamic processes.
Therefore, the theoretical price point at which demand equals supply is the correct answer.
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Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:
(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular
Answers
Answer:
Step-by-step explanation:
If you move from zero to 15 on the number line, you are representing all of the following except
the absolute value of 15
the distance between zero and 15
the opposite of -15
the opposite of 15
Answers
Answer: the opposite of 15
Step-by-step explanation:
Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
Answers
[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]
one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.
since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.
PLEASE HELP I NEED TO TURN THIS IN QUICKK
Answers
Answer:
QUienn quieres ser mi ami
Step-by-step explanation:
xd
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
Answers
Step-by-step explanation:
about circle R
arc angle MP = angle MRP = 78°
angle M = angle LMP.
according to the rules of inscribed angles, LMP is half of angle LRP.
LRP + MRP = 180° because together they cover the whole LM segment (half-circle).
LRP = 180 - MRP = 180 - 78 = 102°
so, LMP = angle M = 102/2 = 61°
also circle R (with arc ULNP)
the arc ULNP = arc UL + arc LN + arc NP = 160°
due to the congruent definition of JU and MP we know that arc UL = arc NP.
and we know arc LN = arc JM = 18°.
so,
160 = 2×arc NP + 18
142 = 2×arc NP
arc NP = 71° = arc UL
now, because arc MP + arc LP = 180 (half-circle),
arc MP = 180 - arc LP = 180 - arc LN - arc NP =
= 180 - 18 - 71 = 91°
about the circle R with 2 congruent chords :
the second answer : they are equidistant from R (the center of the circle).
about circle W
arc MK + arc KL = 180° (half-circle).
and we see
arc HL = arc KL = 53°.
so,
arc MK + 53 = 180°
arc MK = 180 - 53 = 127°
about circle M
arc QTS = 204°.
therefore, arc QRS = 360 - arc QTS = 360 - 204 =
= 156° = angle QMS.
according to the rules of inscribed angles
angle QTS = QMS/2 = 156/2 = 78°
A bike shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
Answers
Answer:
There are 24 bicycles and 11 tricycles in the shop
Step-by-step explanation:
We can make a system of equations to find the answer:
x for bicycles and y for tricycles:
x + y = 35
2x + 3y = 81
2x because bicycles have 2 wheels, 3y because tricycles have 3 wheels, and have set the total to 81 because 81 wheels in total.
Solving, we will find that there are 24 bicycles and 11 tricycles in the shop.
What is the solution to the problem expressed to the correct number of significant figures? 15. 11 (142 × 16. 5) = ? A. 2,358 B. 2,358. 1 C. 2,360 D. 2,400.
Answers
The solution to the problem expressed 2358.
What is the meaning of significant figure?Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.
Therefore we get,
[tex]15.11+(142\times16.5)[/tex]
First we have to multiply the given digits as per rule.
[tex]=15.11+2343[/tex]
Now we will add both the digits, we get
[tex]=2358.11[/tex]
As per given expression, we conclude that the number of significant figure is 4.
So, the answer will be, 2358.
Therefore, the correct option is, 2358.
To learn more about the significant figures visit:
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Find the median and mean of the data set below:
Answers
Mean = sum of all numbers / how many numbers = 135 / 5 = 27
Answer:
27=mean. 30=Median
Step-by-step explanation:
trust me I know what I'm doing
A community theater group produced 8 plays over the last two years. The
group's goal for the next two years is to produce at least 1 times as many
plays as they did in the two previous years. How many plays does the group
want to produce in the next two years?
Answers
Answer: 8 plays.
Step-by-step explanation: I might be missing something here, but it says at least 1 times as many plays?? 8 * 1 = 8, so I guess 8 plays?
Fatima uses 6. 2 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
So 2 5 x 2=4 10
and 1 2x5 =5
Julia’s gross pay was $4,500 last year. the federal income tax withholding from her pay was 13% of her gross pay. julia determined the federal income tax she owes is $495. how much of a refund can julia expect? $64.35 $90.00 $430.65 $585.00
Answers
The amount of the refund Julia gets as a federal income tax will be $90.
What will be Julia's refund?It is given in the question:
Julia's gross pay = $500
federal income tax withholding from her pay was 13% of her gross pay
federal income tax she owes is = $495
To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.
[tex]\rm federal \ amount =\dfrac{4500\times 13}{100} =585[/tex]
The refund Julia will get will be
[tex]=585-495=90[/tex]
Hence the amount of the refund Julia gets as a federal income tax will be $90.
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Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?
Answers
When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths
The algebraic rule is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
How to determine the algebraic rule?From the question, we understand that:
The scale factor (k) of the dilation is:
k = 4/3
The dilation rule across the origin is represented as:
[tex](x,y) \to k(x,y)[/tex]
Substitute 4/3 for k
[tex](x,y) \to \frac 43(x,y)[/tex]
Expand
[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Read more about dilation at:
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Students in Ms. Seiko's class recorded the number of books they read over the summer.
books read
7 8 9 10 11 12 13 14 15
Mrs. Vitale's class is the same size as Ms. Seiko's class.
One fourth of the students in Mrs. Vitale's class read 11 books
How many students in Mrs. Vitale's class read 11 books? Enter your answer in the box
students
Answers
44 students in Mrs. Vitale's class read 11 books
Ratio and proportionsLet the number of students that read 11 books in Mrs. Vitale's class be x
If One fourth of the students in Mrs. Vitale's class read 11 books, then
1/4 x = 11 books
x = 11 * 4
x = 44
Hence 44 students in Mrs. Vitale's class read 11 books
Learn more on ratio and proportion here: https://brainly.com/question/2914376
Answer:
Step-by-step explanation:
The total number of students that are plotted on the line plot is 20.
We are given that Mrs. Vitale's class is the same size as Ms. Seiko's class so both classes have 20 students in each.
One fourth of the students in Mrs. Vitale's class read 11 books.
1/4 *20/1 =5 students
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answers
Answer:
C. 0.5..................
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
Answers
1 x 4/5 = 0.8
1 x 5 = 5
Need step by step explanation please.
Answers
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
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It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 people and spent $13.08. let x represent the number of postcards she wrote and write an algebraic expression for each item in parts a through c.
Answers
Answer:
24 Letters and 4 Postcards
Step-by-step explanation:
We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".
Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.
The second equation is the total sent: x + y =28.
Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.
We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.
If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.
Subtract 9.24 from both sides to get: 0.16y = 3.84
Divide both sides by 0.16 to get: y = 24.
Now we can plug this into x + y = 28 to see that x= 4.
You could make sure this is correct by solving for x instead of y and do the same process.
Hope this helps.
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answers
Answer:
you need 32 eggs
Step-by-step explanation:
48 divided by 12=4
8x4=32
Answer:
2 eggs
Step-by-step explanation:
take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.
4 1/5 tons = how many ponds
Answers
Answer:
Step-by-step explanation:
21/5*2000= 21*400= 8,400 pounds
Answer:
[tex]\displaystyle 8400\:lbs.[/tex]
Explanation:
On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:
[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]
I am joyous to assist you at any time.
100 BRAINLY POINTS!!!
Kayla recorded her baby sister's height, y, in inches, each month, x. The scatterplot shows her results.
Kayla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?
A. Her sister grew about 15 inches each month.
B. Her sister grew about 1 inch every 15 months.
C. Her sister grew about 0.75 inch each month.
D. Her sister grew about 1 inch every 0.75 month.
PLEASE HELP ME CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Answer:
C. Her sister grew about 0.75 inch each month.Step-by-step explanation:
Given function:
y = 0.75x + 15The function is linear and it represents:
y - current heigt of babyx - number of months passed0.75 - the slope is the monthly growth rate15 - the y-intercept, is the initial height of babyAccording the above explanation the correct answer choice is C
Slope intercept form of a line is given by y=mx+b
Compare to our given function
y=0.75x+15Here
Slope=m=0.75As it's about height
The rate of change in height is denoted here
Option C is correct
use prime factorisation to find the hcf of 612 and 1314
Answers
Answer:
Step-by-step explanation:
612: 2*2* 3 * 3 * 17
1314: 2* 3 * 3 * 73
The highest common factor is 2 * 3 * 3 = 18
17 and 73 are both prime, so the factoring stops there.
A cake mix calls for these ingredients.3 cups of milk6 cups of flour2 cups of sugar1 cup of oil
Answers
Answer:
what's up w u people and not giving context
Step-by-step explanation:
1. add ur complete problem
2. show a picture or add the question(s)
3. ur done at that point
Help on this please.
Answers
Answer: 46 degrees
Step-by-step explanation:
Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.
Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.
4.
Which expression is equivalent to x^4 – 2x^3 + x^2 ?
-
A. x²(x - 1)^2
B. x²(x + 1)^2?
C. (x + 9)(x - 9)
D. 2(x+ 3)(x - 3)
Answers
Answer:
Dont have an answer but maybe this will help
Step-by-step explanation:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.