The firework reaches the ground after 6.25 seconds.
A projectile is the curved motion of an object thrown into space under the influence of gravity.
Given that the firework experiences a projectile motion given by the equation:
h = -16t² + 84t + 100
where h is the height after t seconds.
The firework reaches the ground when h = 0, hence:
0 = -16t² + 84t + 100
t = 6.25 seconds.
Therefore the firework reaches the ground after 6.25 seconds.
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b) Complete the table to show the total amount of calories Mary will burn for
cycling and running for 0, 10, 15, and 30 minutes. Show and explain your work.
Minutes (m)
Total Calories Burned (C)
0
10
For 0 minutes she can burn 0 calories
For 10 minutes she can burn 20-40 calories
For 15 mins she can burn 40-60 calories
For 30 minutes she can burn 140-295 calories
I hoped this helped!
Have a great day/night! :)
Find the value of y when x=-4
4. 1/3y=2(x-1/6) 5. -6x-y=17.75
Answer:
1/3y=2(-4-1/6)
The first one answer is y=-25
-6×-4-y=17.75
The second answer is y=6.25
A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
350 hamburgers
Step-by-step explanation:
Let x = the number of hamburgers sold
Let x - 53 = the number of cheeseburgers sold
x + x - 53 = 647
2x = 700
x = 350 hamburgers
Value of x 2(x-4)=10
Answer:
x=9
Step-by-step explanation:
what is the reason for line 3??
Answer:
SAS similarity
Step-by-step explanation:
LO and LP are proportional to LN and LM, as shown by:
[tex]\frac{LO}{LN} =\frac{LP}{LM}[/tex]
Because these are equal, both pairs of corresponding lines have the same scale factor and are proportional as a result. The angle between them is congruent due to the reflexive property as given, and with 2 pairs of proportional sides including the angle, ΔLMN is similar to ΔLPO by the SAS similarity postulate
Eric's jersey number is a two-digit odd number. The positive difference between the two digits is 7, and the sum of the two digits is 11. What is Eric's jersey number?
Answer:
29
Step-by-step explanation:
We first need to know what 1-digit numbers add up to 11.
One digit numbers that add up to 11 are:
2 and 9
3 and 8
4 and 7
5 and 6.
The only pair here who's difference is 7 is: 2 and 9.
9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
9514 1404 393
Answer:
16 nickels
Step-by-step explanation:
Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...
$1.44/$0.09 = 16 . . . groups
Since there is 1 nickel in each group, Robert has 16 nickels.
Answer:
16
Step-by-step explanation:
Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3
value: 12
Help please tell me how to do this I don't know.
Answer:
Where are the values I can't read your qn properly my friend may the lord assist you
Order of operations and cross
reduce:
I got 20/3 but I think I’m wrong
Answer:
130/81
simplified: 1 49/81
Step-by-step explanation:
I did the math
someone help me with these 2 questions asap!!
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
Please help me ASAP this has limited time olease
Answer:
x= 67
Step-by-step explanation:
Angle CGE makes a 23 degree angle, and makes a 90 degree angle with CGB.
By subtracting 90 and 23, you get 67 degrees for the angle EGB.
Since angle EGB and angle AGF are vertical angles, they are the same. So, x would equal 67.
Answer:
x = 67°
Step-by-step explanation:
Solving for x
We know that AGC is a right angle, thus AGD has to be a right triangle as well. Angle CGE is 23°, which would mean that FGD is also 23°.
90°-23°=67°
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
draw a number line and locate all the integers between -3 and 3
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Which of the following inequality’s matches the graph? A: x ≤ 5 B: x ≥ 5 C: y ≤ 5 D: y ≥ 5 what is the answer
Answer: Choice A
[tex]x \le 5[/tex]
========================================
Explanation:
Any point in the shaded purple region has an x coordinate that is 5 or smaller. So we go for [tex]x \le 5[/tex]. Either x = 5 or x < 5. The boundary line is solid to indicate that points on the boundary are included in the solution set.
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answer:
hhhhhhhhhhhhiiiiiiiii
describe how you know this is a proportional relanshoships
Answer:
don't see the relationship, but if it's a proportional relationship it should have the same result every time you divide the x by the y or vice versa.
solve for x, x-c=r+d/y
Answer:
D
Step-by-step explanation:
x - c = (r + d)/y for x
x = (r +d)/y + c common denominator : (c/1) (y/1) = yc
x = (r + d)/y + yc
x = (yc + r + d)/ y
five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate
try to determine the kind of food each person brought and what color plate it was on
Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:
- no food begins with the same letter as the name of the person who brought it
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the dressing was not brought by Tom or Pam
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam
- Donna did not bring the black plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = RogerTherefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
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I need answers 1 through 5 please
Answer:
1) first & last option
2) x=10
3) x=15
4) acute, acute, obtuse. right
5)
Step-by-step explanation:
(8)^2+(6)^2=(x)^2
64+36=x^2
square root of 100= square root of x^2
x= 10
If 5 measures 110 what is the measure of 2?
A) 55
B) 70
C) 110
D)160
Gul can run 800 meters in 139 seconds.About how long would it take her to run 6 times far if she runs at the same speed? Choose the best estimate.
Answer:
834 seconds or 13 minutes and 54 seconds
Step-by-step explanation:
139 x 6 = 834
pls help with 4 4/7 -
see attached pic
You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?
Of the following points name all that lie on the same vertical line (3,-7)(-5,3)(3,-3)(3,-9)
Answer:
(-3,9)
Step-by-step explanation:
HOPE THIS HELPSSSSSS!!!!
.Sort the numbers based on the number of significant figures they have.
Drag each tile to the correct location.
1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.
Let's check the significant figures one by one
[tex]\\ \sf\longmapsto 1,230=3[/tex]
[tex]\\ \sf\longmapsto 155.6=4[/tex]
[tex]\\ \sf\longmapsto 200=1[/tex]
[tex]\\ \sf\longmapsto 1245=4[/tex]
[tex]\\ \sf\longmapsto 8.88=3[/tex]
[tex]\\ \sf\longmapsto 22=2[/tex]
[tex]\\ \sf\longmapsto 136=3[/tex]
[tex]\\ \sf\longmapsto 8.880=3[/tex]
[tex]\\ \sf\longmapsto 0.01=1[/tex]
[tex]\\ \sf\longmapsto 20=1[/tex]
One Significant figure - 200, 0.01, 20
Two Significant figures- 22, 20.
Three Significant figures- 1,230, 8.88, 136
Four Significant figures- 155.6, 1,245, 8.880
PLATO
I really need help this is due in a little bit and I need to finish
Answer:
The correct form is [tex]y = -2x + 24[/tex]
Step-by-step explanation:
First we need to interpret the equation of Nolan.
The [tex]y[/tex] means the current value in the bank accountThe [tex]x[/tex] means the past days-2 means that spend each dayand 12 the initial amount in the bankHow you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.
So the correct form of the equation is:
[tex]y = -2x + 24[/tex]
The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?
Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.
THANK YOU
HELP ASAP
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16
Answer:
C, 18.
Step-by-step explanation:
Since 24 divided by 8 is 3, which means that
8x3 = 24, then the amount of boys must be solved using the equation 6x3 which equals 18.
Help help math math help help
Answer:no they are not
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Answer:
no
Step-by-step explanation: