Answer:
10. 32 & 37
11. 3 & 4
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(P.S. if you need an explanation just ask in comments)
A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of 50 feet per second.
s(t)= -4t2 + 50t - 84. Show work to get credit
a. What is the maximum height reached by the rocket?
b. What time will it reach the maximum height?
c. You forgot to put the parachute in the rocket. When will the rocket hit the ground?
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
please help and hurry please
Answer:
4 quarts = 1 gallon
Step-by-step explanation:
Hope that hleps
1 quart = 1/4 gallon
Multiply the number of quarts by 4 to find the number of gallons.
Penny says that the expression
8(3x - 2) is equivalent to the expression
11x - 10. Is Penny correct?
Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
She also wants to buy some bracelets for $9.50 each. How many bracelets can she buy
without going over?
Answer:
4
Step-by-step explanation:
She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!
Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's surface and falls at a rate of 20km per second. The x values represent the time in seconds and the y values represent the height of the meteor. What does the domain represent in context of the model?
Answer:
The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km
Step-by-step explanation:
The given parameters from the question are;
The elevation of the meteor above the Earth's surface = 100 km
The rate at which the meteor falls = 20 km per second
The 'x' values represent the time in seconds and the 'y' values represent the meteor's height
Therefore, we have;
y = 100 - 20·x
The domain of a function is the set of inputs to the function
Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface
At the start x = 0 seconds
On the Earth's surface, y = 0, therefore;
0 = 100 - 20·x
x = 100/20 = 5
When the meteor just touches the Earth's surface x = 5 seconds
Therefore, the domain is 0 ≤ x ≤ 5.
Find the length of KM. Helpppppppppp
Answer:
21
Step-by-step explanation:
KL = 12
LM = 9
12 + 9 = 21
KM = 21
Someone please help me
Answer: first would be 6 the next would be 12 then the next would be 18 and so on just add 6 for each one and for ten pizzas it would be 6*10 and that equals 60 im sure you get it
Mr. Green used a wood chipper to produce 640 pounds of mulch for his yard. What is the weight, in ounces, for the mulch which he produced? *
Answer:
Answer: 10240
Step-by-step explanation:
640 x 16 = 10240
1 Pound = 16 Ounces
An extended family is trying to plan a reunion and needs to find out where everyone would like to attend. Jill decides to send an e-mail to one person from each of the different families to get their opinion. She then follows up with those that she doesn't hear from. Is this a good way to collect data?
Answer:
I don't think so. Because what if that specific family member never checks their email. I think a good way would have been to email more than one or every person in that family (now since its extended you might not know everyone so just as many as you know of)
Perimeter is used to find the
A: distance from a ceiling to the floor
B: amount of blacktop on a playground
C: amount of floor space covered by a carpet
D: distance around the edge of a swimming pool
Answer:
D: distance around the edge of the swimming pool
Step-by-step explanation:
perimeter is the distance around something.
Step-by-step explanation:
Perimeter is used to find out the boundary of any thing or figure...So,
Option D Distance around the edge of a swimming pool. is correct answer.
Christais attending the county fair that charges a $12 entry fee. The entry fee includes 10 free rides, but any additional rides cost $1.50 each.
Write a function that models Christa's county fair expenses, cr), when she rides ""rides.
Answer:
he saves 3 dollars. its not worth it.
Step-by-step explanation:
you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
Write the numbers in order from least to greatest.
-2, 1 1⁄2, -2 3⁄4, 3⁄10
Linda has $26. She wants to buy a ski pass for $80. She can earn $6 per hour to babysit.
PLEASE ANSWER THIS FOR ME PLEASEEEE I BEGG U PLEASEE
Answer:
the top answer or A. if it was labeled
Step-by-step explanation:
because my guy it is simple math
Translate the following sentence into an equation using n for the unknown number. Then solve for n.
when 15 is decreased by three times a number, the result is 21
a.
15 - 372 = 21
n = -2
b.
312 - 15 = 21
n = -2
C.
31 - 15 = 21
n = 12
d.
15 - 3n2 = 21
n-2
Given:
15 is decreased by three times a number, the result is 21.
To find:
The equation for the given statement and solve it.
Solution:
Let n be the unknown number. Then,
Three times of a number = [tex]3n[/tex]
15 is decreased by three times a number = [tex]15-3n[/tex]
It is given given that the result after subtraction is 21. So,
[tex]15-3n=21[/tex]
[tex]-3n=21-15[/tex]
[tex]-3n=6[/tex]
Divide both sides by -3.
[tex]n=\dfrac{6}{-3}[/tex]
[tex]n=-2[/tex]
Therefore, the required equation is [tex]15-3n=21[/tex] and its solution is [tex]n=-2[/tex]. Hence, the correct option is (a).
Answer:
a
Step-by-step explanation:
A triangle has sides measuring 15 centimeters, 18 centimeters and 15 centimeters. What kind of triangle is it?
Answer:
v fggfbfgbfgbgbfgb
Step-by-step explanation:fgfgbgfbfg
i need the top one plzzzz thankkk uuuu
the angle of depression of top of a pole of
Answer:
Didn't finish sorry. I wish I could help.
James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and b is 6. The product of a and c is -4. The product of b and c is -6.
Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
[tex]ab=6[/tex] ...(i)
[tex]ac=-4[/tex] ...(ii)
[tex]bc=-6[/tex] ...(iii)
From (ii), we get
[tex]a=-\dfrsc{4}{c}[/tex] ...(iv)
From (iii), we get
[tex]b=-\dfrsc{6}{c}[/tex] ...(v)
Putting [tex]a=-\dfrsc{4}{c}[/tex] and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get
[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]
[tex]\dfrac{24}{c^2}=6[/tex]
[tex]\dfrac{24}{6}=c^2[/tex]
[tex]4=c^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{4}=c[/tex]
[tex]\pm 2=c[/tex]
It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].
Putting [tex]c=2[/tex] in (iv), we get
[tex]a=-\dfrsc{4}{2}[/tex]
[tex]a=-2[/tex]
Putting [tex]c=2[/tex] in (v), we get
[tex]b=-\dfrsc{6}{2}[/tex]
[tex]b=-3[/tex]
Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].
b+g=708
15b+10g=8640
Answer:
b=312
g=396
you can use substitution or elimination
Step-by-step explanation:
(b+g=708)10
(15b+10g=8640)1
(10b+10g=7080)-
(15b+10g=8640)
10b-15b=-1560
-5b=-1560
divide both sides by -5
b=312
then substitute
b+g=708
312+g=708
g=708-312
g=396
so b=312
g=396
Solve the question in the picture below.
Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer.
Answer:
x = 17.1°
Step-by-step explanation:
tan x = 4/13 = 0.3077
x = 17.1°
The measure of the angle θ from the given triangle is 17.9°.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, AC=13 and BC=4 units.
We know that, sinθ=Opposite/Hypotenuse
sinθ= 4/13
sinθ= 0.3076
θ=17.9°
Therefore, the measure of the angle θ from the given triangle is 17.9°.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
I need to solve these problems.
Answer:
a,a,d
Step-by-step explanation:
the formula has been given
John increased the amount of water he drinks every day from 32 oz. to 58 oz. By what percentage did John increase the amount of water he drinks?
Answer:
81.25%
Step-by-step explanation:
58-32=26
26/32=0.8125
0.8125x100=81.25
Sorry I'm not that good at explaining but here is something that helped me.
Graph the first six terms of a sequence where a1 = -10 and d = 3
Answer:
i honestly dont know
Step-by-step explanation:
I'm confused about how to do flow charts for each of these questions!
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
You have 2 totals so the number of males + females = 127 so x + y = 127
Then there are 23 more males than females, it did not say 23 times more so B is out, so the female number + 23 = male number so y + 23 = x
Therefore letter C is the answer.
last year, a dvd store sold 670 actions dvds, 580 comedy dvds, 450 drama dvds, and 300 horror dvds. if a media buyer expects to sell 5000 dvds this year, based on these results predict how many comedy dvds she should buy
Answer:
c
Step-by-step explanation:
find the difference between the square of 15 and and the square of 5
Which equation completes the square to create an equivalent to
x2 + 8x +11 = 0 in the form of (x - p)2 = q?
A. (x + 4)2 = 11
B. (x-4)2 = 11
C. (x-4)² = 5
D. (x + 4) = 5
Answer: The answer is C (sorry if this might be wrong I tried to do the math and I got C)
Step-by-step explanation: