A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?
Given:
The height of ball is represented by the below function:
[tex]h(t)=-16t^2+20t+24[/tex]
To find:
The number of seconds it will take to reach the ground.
Solution:
We have,
[tex]h(t)=-16t^2+20t+24[/tex]
At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].
[tex]-16t^2+20t+24=0[/tex]
Taking out greatest common factor.
[tex]-4(4t^2-5t-6)=0[/tex]
[tex]4t^2-5t-6=0[/tex]
Splitting the middle term, we get
[tex]4t^2-8t+3t-6=0[/tex]
[tex]4t(t-2)+3(t-2)=0[/tex]
[tex](t-2)(4t+3)=0[/tex]
Using zero product property, we get
[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]
[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]
Time cannot be negative, so [tex]t=2[/tex].
Therefore, the ball will reach the ground after 2 seconds.
Find the next 3 terms of the following sequence -4,-9,-14
Find the next 3 terms of the following sequence 3,12,48
Answer:
-19,-24,-29
192,768,3072
Step-by-step explanation:
for the first equation its going down by 5
for the second its multiplying by 4 everytime
75 is 24% of what number?
I WILL GIVE BRAINLIEST!!!!
Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
Please do this for me I’m having a very hard time and failing math because of this!
Answer:
Which answer do you need
Step-by-step explanation:
Students took a typing test. The number of words per minute students could type are listed below. 40, 47, 25, 32, 48, 55, 33, 56, 32, 47, 32 What is the median number of words per minute the students could type?
Answer:
50
Step-by-step explanation:
The median number is known as the middles number
The first step is to rearrange the set of numbers starting from the lowest
25, 32, 32, 32, 33, 40, 47, 47, 48, 55, 56
Hence the middle number is 50
Find the area of this circle. Use 3.14 for . A circle has diameter 62 feet. 62 ft
PLS HELP
Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?) She mixes 8 cups of water with 2 cups of vinegar. If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add? (**There are 16 cups in a gallon)
Answer:
To make a gallons,
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
Step-by-step explanation:
Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)
She mixes 8 cups of water with 2 cups of vinegar.
Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups
If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?
Note that: There are 16 cups in a gallon
Hence:
For number of cups of water:
10 cups of cleaning mixture = 8 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 8
x = 16 × 8/10
x = 12 8/10 cups of water or 12.8 cups of water
For the number of cups of vinegar
10 cups of cleaning mixture = 2 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 2
x = 16 × 2/10
x = 3 1/5 cups of water or 3.2 cups of vinegar
Therefore, to make a gallon
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
HELP!!!!! need the answer
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?
an obtuse triangle
a right triangle
an acute triangle
an equilateral triangle
Answer:
acute triangle
Step-by-step explanation:
This is the question I am gonna write it here pls help Yum-Yum restaurant has just increased the wages they pay their employees. To help afford this,Yum-Yum-Yum must mark up their meals by 12%. If the meal cost 7.99, how much will as meal cost after the markup
Answer:
8.95
Step-by-step explanation:
Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.
Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.
its about quartiles
No links
Answer: See the attached image for the answers. I've arranged the tiles in the proper order.
minimum = 2lower quartile = 4second quartile = 8upper quartile = 19maximum = 21This is known as a five number summary.
=========================================================
Explanation:
The first thing to do is to sort the numbers from smallest to largest
You should get this set {2, 4, 7, 8, 16, 19, 21}
The middle most value is 8. So this is the median or the second quartile.
--------------
Split the data set into two lists like so
L = {2,4,7}
U = {16,19,21}
Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.
Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3
Q1 = first quartile = lower quartile = 4
Q3 = third quartile = upper quartile = 19
--------------
As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.
Find the indicated side. Round to the nearest tenth if necessary.
Help please it would do me much help if you do
Answer: 1056 in.³
Step-by-step explanation: The formula for finding the volume of a rectangular prism is V = L × W × H. (Volume equals Length times width times height.) 11 × 4 × 4 = 176. To find the volume of all the rectangular prisms, you multiply the volume of one of the prisms by 6 because there are 6 prisms shown. The total volume of the shape is 1056 in³.
I hope this helps, have a nice day.
An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,
Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
HELP!!! im running out of time
student is selected at random what is the probability the student is a female junior
Answer:
20%
Step-by-step explanation:
total male = 14
total female = 16
total students 30
there are only 6 females that are juniors so the probability of picking one would be 6/30
and 6/30 is equal to 0.2 (divide)
and 0.2 is equal to 20% (move the decimal right two spaces)
 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR
Answer:
I have not done this math in a while but I think it is -8
Step-by-step explanation:
A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program
Answer:
B
Step-by-step explanation:
It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.
What is recycling?Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.
Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.
Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.
To find more on recycling, refer here:
https://brainly.com/question/11861824
#SPJ2
I NEED HELP ON THIS PLS I WILL MARK BRAINLIEST
Answer:
56.5
Step-by-step explanation:
To find the perimeter of circle (circumference), we multiply Pi and our radius (half the length across the circle) and then multiply that by 2. perimeter = 2 · π · r
Multiply 18x2 to get 36. Multiply that by pi to get 56.54866776 ( just round to nearest tenth for simplicty ;) ) Therefore, our answer is 56.5
PLS HELP 6TH GRADE PLEASE
Answer:
6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30
27 x 6 = 162 (area of base)
27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324
Add given areas:
30 + 162 + 324 = 516 ft2 is your answer.
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answer:$450 i think?
Step-by-step explanation:
Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 9, 5, 2, 7, 1, 14, 3, 5, 6. Find the median of the data.
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
Find the sum of the first 40 terms of the arithmetic sequence: 16,24,32,40
Answer:
320 is the answer
Step-by-step explanation:
8x40=320
Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answer:
instead of finding x find an ps4
Step-by-step explanation:
like what
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
Each of 100 people receives a random item from a grocery store and assigns it a value between 1 (low) and 10 (high). They trade those items among themselves for items they prefer rather than those they randomly received and then assign a second value (again, 1 to 10) to the item that they end up with after the trading concludes. How would the sum of those values before trading compare with the sum after trading
Answer:
The answer is "After trading, the value would be higher because preferences are diverse".
Step-by-step explanation:
Every person receives a resulting in the possibility from either a grocery shop and gives a value of from 1 to 10. (high). Participants trade these goods with each other for items that prefer to receive randomly but instead assign a second value to the object that finishes after the trade is concluded (1 to 10 again). Its value would've been higher after trading because the total of those before trading choices is unique compared to an exchange sum.
if f(x)=4x+5 what is the value of f(-3)
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
Let x =-3
f(-3)=4*-3+5
Multiply
f(-3)=-12+5
Add
f(-3) = -7
-3x+10=21 solve for x
Answer:
Step-by-step explanation:
-3x+10=21
-3x=21-10
-3x=11
x=11/-3
x=- 11/3
hey! i’ll give brainliest please help
Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
Choice B would work, as it follows the definition of a Compound Sentence.
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.
Answer:
B. A sentence that includes two independent clauses connected by a conjunction.
Step-by-step explanation:
Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).
Example would be:
Juan likes to hunt, and he is going hunting on Sunday.
"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.
"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.
The conjunction "and" is used, and a comma is correctly placed before "and."
Simplify for ez fast points!
Answer:
-81
Step-by-step explanation:
-3 ^4
The negative is not included in the exponent
- (3)^4
- 3*3*3*3
-81