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Related Questions
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
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Hope this helps
What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?
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Answer:
An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept.
Given the line
6x+y=2
Simplifying the equation to write into the slope-intercept form
y = -6x+2
So, the slope = -6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be: -1/-6 = 1/6
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/6 and the point (6, -2)
[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]
[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]
[tex]y=\frac{1}{6}x-3[/tex]
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Plz, answer. Will mark brainiest. Please! 50 points!!!
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Answer:
12%
(12ish at least, I don't know if this problem requires the exact decimal.)
Answer:
12%
Step-by-step explanation:
:)
I can write linear equations
1. Through: (-1,3), Slope=2
2.Through: (3,3), slope= -2
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2. Y= -2x-3
A small garden has an area of 25 square yards. How long is each side of the garden? *
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Answer:
5
Step-by-step explanation:
Which equation represents a proportional relationship?
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Answer:
y = 3x
Step-by-step explanation:
A proportional relationship should be represented by an equation in this format:
y = kx
PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =
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Answer:
1 cake 6 slice
Step-by-step explanation:
just divide
12/2=6
Evaluate the following expression. 7 1/4 x 2^2 +(8 1/2 -2) ÷ 3
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Answer:
31.1666666667
Step-by-step explanation:
Caculator
Rewrite the formula to solve for the positive value of r in terms of h and v.
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Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
r is radius of cone and h is its height
We need to solve the above formula for r.
Cross multiplying both sides of the given formula
[tex]3V=\pi r^ 2h[/tex]
Dividing both sides by πh.
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]
PLS HELP QUICK!!!!
Select if each equation has ONE SOLUTION, INFINITE SOLUTIONS, NO SOLUTIONS
2(3x-7) = 6x-14
-5x+12 = -5(x-2)
4(x-2) = 3x+1
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Answer:
2(3x-7) = 6x-14 has infinite solutions
-5x+12 = -5(x-2) has no solutions
4(x-2) = 3x+1 has one solution x = 9
Step-by-step explanation:
Your bedroom wall is 150 inches wide. You want to hang two posters, each 27 inches across, with an equal space between each poster and the wall edges.
How many inches of space should you leave between the wall edge and each poster?
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Answer:
32
Step-by-step explanation:
let the space be x
x + 27 + x + 27 + x = 150
3x + 54 = 150
3x = 96
x= 32
A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.
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Answer:
20.6
Step-by-step explanation:
A virus takes approximately 20.6 days to triple its original population.
What is the formula of exponential growth?"[tex]f(x)=ab^x[/tex],
where a is the initial value
b is the growth rate
x is time. "
For given question,
Suppose the function for the population growth is,
[tex]A(t)=A_0\times b^t[/tex] .........(1)
For t = 13, the population growth of virus would be,
[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex] ..........(2)
But we have been given that a virus takes 13 days to double its original population.
[tex]\Rightarrow A(13)=2\times A_0[/tex] .........(3)
From (2) and (3),
[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]
We need to find the number of days to triple its original population
[tex]\Rightarrow A(t)=3\times A_0[/tex] ...........(4)
From (1) and (4),
[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]
Therefore, a virus takes approximately 20.6 days to triple its original population
Learn more about the exponential growth here,
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Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon
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Answer:
40
Step-by-step explanation:
The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,
So, the equation =
n = 5÷1/8
n = 40
Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
Learn more about equations, click;
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Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)
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Answer:
Veronica will have $310.04 at the end of first five years.
Step-by-step explanation:
Principal Amount P = $230
Interest Rate r = 6%
Time t = 5 years
Compounded monthly n = 12
We need to find the future amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]
So, Veronica will have $310.04 at the end of first five years.
What is -3(2a + 5b - 4y - 2)?
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Answer: -6a-15b+12y+6
Step-by-step explanation:
please help me out here I need it
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Step-by-step explanation:
it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y
Answer:
y=2X2-5x+5
Step-by-step explanation:
The class can contain at most 28 students.
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Answer:
s < 28
Step-by-step explanation:
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?
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15%
Explaination according to zehtmnt who also answered this question by another person:
You have to do a proportion
12. = x
80 100 and u have to cross multiply
80x = 1200
80. 80
Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.
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Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Slope of line s:
(b - 0)/(0 - (-a)) = b/aRotation 90 clockwise rule:
(-a, 0) → (0, a)(0, b) → (b, 0)The slope of line t:
(0- a)/(b - 0) = -a/b = -a/bThe product of slopes:
b/a*(-a/b) = -1Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Given:
Slope of Line S - (b - 0)/(0 - (-a)) = b/a
Remember the clockwise rule:
(-a, 0) → (0, a)
(0, b) → (b, 0)
Slope of line T - (0- a)/(b - 0) = -a/b = -a/b
The product of slopes: b/a × (-a/b) = -1
So, finally, our answer is:
b/a; (b, 0); -a/b; -1Carry On Learning!
halo me please I don't know what to do
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why do you think baby Yoda is awsome admit it you can resist the cuteness of baby Yoda do the math you can't
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Answer:
I love baby Yoda.
Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3
Answer:
Baby Yoda is indeed very cute
Step-by-step explanation:
They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
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Answer: I need to see the graph
Step-by-step explanation:
It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will cost more money for a group of 12 students to visit? How much more?
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36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
For every 3 packages that Marcella wraps, she uses 1\2 of a roll of wrapping paper.
If she uses 2\12 rolls of wrapping paper, how many packages has she wrapped?
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The least common multiple of two numbers is 24. Which could be the two numbers?
6 and 8
4 and 6
8 and 16
4 and 12
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Answer:
4 and 6 I hope this is right!!
Answer:
4 and 6
Step-by-step explanation:
What is the percent of change from 8,000 to 2,000?
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Answer:
75% markdown
Step-by-step explanation:
If I am not mistaken, you can input this into everyday values like a shirt.
For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.
Or so I think, don't quote me on this.
7n-15=41 What is the answer for n I will give you branlist
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Answer:
n= -5
Step-by-step explanation:
you’ll end up with 56
7n=56
Divide both sides by 7
Answer: 8
Solve the distance, rate, time problem using a system of two linear equations in two variables.
A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.
Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.
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Answer:
960 would be correct becasue it says it in the problem.
which expression is equivalent to 18x12
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Answer:
12x18
Step-by-step explanation:
Answer:
Hello, you do not give us any answers to choose from, but i can say that 18x12 is 216
Step-by-step explanation:
LOOK A PICTURE HURRY PLS LIKE RIGHT NOW
Answers
Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago
Step-by-step explanation: