Answers
Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.
[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]
well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out
[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]
Related Questions
Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.
Answers
I wrote notes on this question a while ago
C=cookies to make
C+8=15
C+8-8+15-8
C+0=7
C=7
Check:7+8=15
15=15
if h(x)=5x+2 and g(x) =9x-4 find (h o g) (3)
Answers
Answer:
h(g(x)) = 45x -18
Step-by-step explanation:
h(g(x)) = 5(9x - 4) + 2
= 45x - 20 + 2
= 45x -18
[tex]\text{Given that,}\\\\h(x) = 5x+2 \\\\g(x) = 9x-4\\\\g(3) = 9(3) -4 =27 -4=23\\\\(h \circ g)(3) \\\\=h(g(3))\\\\=h(23)\\\\=5(23) +2 \\\\=117[/tex]
A recipe calls for 5 cups of cashews for 4 cups of flour. Using the same recipe, how many cups of flour will you need for 2 cups of cashews? » How many cups of flour will you need for 2 cups of cashews?
Answers
Answer:
8/5 cups
Step-by-step explanation:
equal 5/4 to 2/x x representing the amount of flour
cross multiply: 5x=8
divide: x=8/5
Solve
-16+ 20
A. -36
B.-4
C. 4
D. 36
Answers
Answer:
C: 4
Step-by-step explanation:
We can rearrange the numbers:
[tex]-16+20=+20-16=20-16=4[/tex]
Answer:
C. 4
Step-by-step explanation:
-16+20 equals 4 becase:
-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!
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10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please
Answers
you have the ratio of natural:synthetic so;
3:4
3+4=7
357/7=51
3*51:4°51
153:204
therefore, it'd be 204 litres of synthetic oil!!
i hope this helps you!!
If 2 students can clean the classroom in 20 min. How long will it take 8 students to clean the classroom?
(1) 160 min
(2) 80 min
(3) 5 min
(4) 10 min
Answers
Answer:
5 MIN
Step-by-step explanation:
PLSS HELP
the question is in the picture
Answers
Answer:
I think it's -4/5
Step-by-step explanation:
3 + -7 = -4
--------------
5
=
-4/5
Determine the intercepts of the line.
Do not round your answers.
y = 4r +7
Answers
Answer:
(-7/4, 0) (0, 7)
Step-by-step explanation:
I'm assuming r is x
0=4r+7
r=-7/4
y=0r+7
y=7
KS3 year 8 maths homework.
due tomorrow,
i’m really confused..
Answers
Answer:
a) = 6:55
b) = 37
c) =15:12
Answer:
a)6:55
b)37min
c)15:12
If (-3)-5=1/xwhat is the value of x?
Answers
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
what is 83\100 in decimal form
Answers
83 = 83.0 When you move the decimal place two places to the left you get: 0.83
Hope this helps!
Please answer and show your work
Answers
Answer:
check online for more information
Is 1.05 greater than or less than 1.3
Answers
The larger number is obtained as 1.3.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 1.05 and 1.3.
The decimal 1.3 can be written as 1.30.
Now, the two decimals can be compared as below,
1.05 and 1.30
Both the decimals have equal integer part.
Digit at tenths of 1.05 is 0 and for 1.30 is 3.
Since, 3 > 0.
⇒ 1.30 > 1.05
Hence, 1.3 is greater than 1.05.
To know more about decimal number click on,
brainly.com/question/4708407
#SPJ2
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____.
Answers
Answer:
can you add a pic
Step-by-step explanation:
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answers
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
A bear cub weighs 10 pounds at birth, and it gains an average of 5 pounds every month.
Answers
Answer:
Just keep adding 5 for each month.
Step-by-step explanation:
10 + 5 = 15
15 is first month
20 second
25 third
30 fourth
35 fifth
40 six
etc.
Equation :
10 + (5m)
m = number of months that have passed by.
Please help me answer this question!!!
Answers
Answer:
19
Step-by-step explanation:
The triangle is an isosceles and so angle SRT and angle STR are equal
also:
Angle SRT and angle STU are supplementary so their sum is equal to 180
7x + 2x + 9 = 180 add like terms
9x + 9 = 180 subtract 9 from both sides
9x = 171 divide both sides by 9
x = 19
Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Answers
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
[tex]1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36[/tex]
Answer:3.36
Hope it helps.
Do comment if you have any query
If two resistors with resistances R, and Ry are wired in parallel, then their combined resistance R is given by the complex fraction R=
R, R₂
Evaluate this formula when R1 = 70 ohms and R2 = 125 ohms.
Answers
Answer:
The equivalent resistance of two resistances connected in parallel is given by 1/R = 1/R1 + 1/R2
R = (R1*R2)/(R1 + R2)
(dR)/(dt) = ((R1*(dR2)/dt + R2*(dR1)/dt)(R1 + R2) - (R1*R2*((dR1)/dt + (dR2)/dt)))/(R1 + R2)^2
R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing and finish i am busy right now am sorry to finish this question here ur formula
PLEASE HELP GIVING BRAINLIEST
Answers
Answer:
A.10,4
B.5,10
C.5,5
D4,4
Step-by-step explanation:
KERE ON LERNER?
Four subtracted from x is less than 18.
Answers
Answer:
x - 4 < 18
Step-by-step explanation:
< means less than
> means more than
How many lines of symmetry does the figure have?
A. 1
B. 5
C. 2
D. 0
Answers
Answer:
B. 5
Step-by-step explanation:
Kind of hard to explain why
Answer: B. 5
Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry
10% of $70 = what is the answer i do not now it.
Answers
Answer:
10% 0f 70 is 7
Step-by-step explanation:
70÷10=7
10%=7
need help with my math please <3
Answers
Answer:
wth that's hard I can't answer that
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.
Answers
If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.
There are several types of correlation:
Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one anotherIn this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.
In conclusion, what was observed is negative correlation.
Find out more at https://brainly.com/question/10099551.
Given 4(3x-8)=52 prove x=7
Answers
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
this question got asked three times =)
Answer:
52 is the answer
Step-by-step explanation:
You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.
3(7)=21
Subtract the numbers in the paratheses once you have found the number with the variable.
21 - 8 = 13
Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.
4 * 13 = 54 or 13 * 4 = 54
I hope this helps u! :D
Amana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?
Answers
Answer:
$158.67
Step-by-step explanation:
Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.
Answers
Answer:
Step-by-step explanation:
1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3
Answers
whats the answer can someone answer please
Answers
Answer:
b and c
Step-by-step explanation:
Answer:
answer of QN 12 is 0.000000000999 and the answer of QN 13 is 30x + 42