The correct model of the height of rocket above water is;
h(t) = -16t² + 96t + 112
Answer:
time to reach max height = 3 seconds
h_max = 256 ft
Time to hit the water = 7 seconds
Step-by-step explanation:
We are given height of water above rocket;
h(t) = -16t² + 96t + 112
From labeling quadratic equations, we know that from the equation given, we have;
a = -16 and b = 96 and c = 112
To find the time to reach maximum height, we will use the vertex formula which is; -b/2a
t_max = -96/(2 × -16)
t_max = 3 seconds
Thus, maximum height will be at t = 3 secs
Thus;
h_max = h(3) = -16(3)² + 96(3) + 112
h_max = -144 + 288 + 112
h_max = 256 ft
Time for it to hit the water means that height is zero.
Thus;
-16t² + 96t + 112 = 0
From online quadratic formula, we have;
t = 7 seconds
Find the solution of the equation in the interval 0° ≤ x < 360°
1. √3 csc x + 2 = 0
Step-by-step explanation:
√3cscx + 2 = 0
cscx = -2/√3
sinx = 1/cscx = -√3/2
We have the basic angle x = 60°.
(Because sin60° = √3/2)
Since sinx is negative, it must fall in Quadrants III or IV.
=> x = 180° + 60° or x = 360° - 60°
=> x = 240° or x = 300°.
The difference between eleven and one-fourth of a number is no less than -8
translate it please
Answer 11+1/4n<-8
Step-by-step explanation:
Aaron was
making fruit punch for his study group. He used 6 cups
of orange juice, 11/2 cups of lemon juice and 3/4 cups
of pineapple juice. How many total cups of liquid did
Aaron mix altogether?
Answer:
12 1/4 cups
Step-by-step explanation:
11/2 = 5.5 cups
5.5 + 3/4=6.25 (which is basically,6 1/4)
6 1/4 + 6 = 12 1/4 cups
I need help ASAP please I’m giving brainliest!
I am a number between 17 and 25. I am a multiple of 3. 6 is not a factor of mine.
Answer:
21
Step-by-step explanation:
3 times 7 equals 21 and you cant make 21 with 6
(please mark me brainliest if you get it correct)
Work out the percentage change when a price of £40 is increased to £70.
Answer:
75%
Step-by-step explanation:
70-40 = 30
30/40 = 0.75
0.75 = 75%
Are they like terms? 3y & 3x
Answer:
no
Step-by-step explanation:
Answer:
No because they dont have the same variables
Step-by-step explanation:
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers
are stars. Select 2 statements that are true.
A.Katarina has 100 heart stickers.
B.Katarina has 375 star stickers.
C.The package contains 20 sheets of stickers
3
D.75% of the stickers are stars.
E.The number of heart stickers is the same as the number of star stickers
The correct statement are;
B. Katarina has 375 star stickers.
D. 75% of the stickers are stars.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.
Now,
Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.
Hence, The number of hearts = 25% of 500
= 25/100 × 500
= 25 × 5
= 125
And, Number of stars = 500 - 125
= 375
= 75% of 500
Thus, The correct statement are;
B. Katarina has 375 star stickers.
D. 75% of the stickers are stars.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Find the value of the expression below if I = 10.
z? – 2 (x + 5) =
Answer:
10
Step-by-step explanation:
z−2(x+5)=
Use the distributive property to multiply −2 by x+5.
z−2x−10
5. Atype of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
a Find a mixture that will make the same shade of green but a smaller amount.
Answer:
2 and 4 ,1 and 3
Step-by-step explanation:
you just subtract some amount from one number and add to another
A plane travels south for 120 km. The plane then travels north for 45 km.
If north is taken as the positive direction, what is the displacement of the plane?
a. 75 km
b. –75 km
c. 165 km
d. –165 km
Answer:
b. -75
Step-by-step explanation:
It is already stated in the problem that north direction is positive. Hence, south is negative.We take 120km south to be -120km.Then, travelling north by 45km.We then add the two: -120km + 45km = -75kmCan someone give me the answer please 4(2x-3)=5x+7
Step-by-step explanation:
x=6.33333
the three just continue so u can keep it x=6.3
Elijah's puppy weighs 20 ounces. If he weighed 15 ounces at the last visit to the veterinarian's office, what is the percent increase in the puppy's weight rounded to the nearest whole number?
Answer:
The percent increase in the the puppy's weight is 84%
Step-by-step explanation:
Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M?
Answer:
100 or A
Step-by-step explanation:
i hope this is what you were looking for ;)
Please answer this correctly without making mistakes
Answer:
5 cups
Step-by-step explanation:
1 pint = 2 cups
92 pints 1 cup =
= 92 * 2 cups + 1 cup
= 184 cups + 1 cup
= 185 cups
185 cups / 37 = 5 cups
Answer: 5 cups
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Answer:
2 pints 1 cup
Step-by-step explanation:
1 cup is 1/2 pint, so we have ...
(92 1/2 pints)/37 = (185/2 pints)/37 = (185/74) pints = 2 37/74 pints
= 2 1/2 pints
= 2 pints 1 cup
Can somebody please help me and give me the answer to example 2
Answer:
there is no question for example 2
Step-by-step explanation:
5/9 ÷ 2/3
PLEASE HELP I AM ACTUALLY NOT SMART
Answer:
5/6
Step-by-step explanation:
=5/9 * 3/2
simplify
5/3 * 1/2
=
5/6
What is a speed of 55 mph equivalent to in units of m/s? ( 1 mile = 1609 m, 1 hour = 3600 s)
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Answer:
about 24.58 m/s
Step-by-step explanation:
Multiply by conversion factors that change the units, but not the value.
(55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s
= 88495/3600 m/s ≈ 24.58 m/s
_____
Additional comment
The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.
What is the equation of a line with a slope of 3 and contains
point (4.1)
Answer:
y = 3x - 11
Step-by-step explanation:
y=mx+b
1=3(4)+b
1=12+b
b=-11
Answer:
y = 3x –11
or 3x – y = 11 Standard form
Explanation:
using slope-intercept form, calculate b
1 = 3(4) + b
1= 12 + b
1 –12 = b
–11 = b rewrite the equation using this value.
y = 3x –11
pls help me i need it pls
Answer:
1) 12
2) 23
3) 95 with a reminder of 1
4) 30
5) 50 with a reminder of 4
6) 31
Step-by-step explanation:
Answer:
1)12
2)23
3)22
4)30
5)19
6)31
Which fraction and decimal forms match the long division problem?
9) 2.000
18+
20
181
20
18
2
O A.
and 0.2
O
OB.
and 0.222
O c.
and 0.2
O D.
and 0.2
Answer:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
Step-by-step explanation:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
Martina has a rectangular poster that is 12 centimeters long and 10 centimeters wide. What is the area of the poster in square meters? Do not round your answer
Answer:
120m²
Step-by-step explanation:
length x width = 12 x 10
= 120
Evaluate. 4y+8 , and y=6
Answer:
32
Step-by-step explanation:
4y + 8 and y = 6 ( plug in 6 to y )
4 x 6 + 8
24 + 8 = 32
Find the function value f(3) if
f (h) = 4h – 3
Answer:
f(3) would be 9 in this case.
Step-by-step explanation:
To find the value f(3) if f(h) = 4h - 3, substitute h for 3.
f(3) = 4(3) - 3
Multiply 4 by 3 to get 12.
f(3) = 12 - 3
Subtract 3 from 12 to get 9.
f(3) = 9
f(3) would be 9 in this case.
3 + x, when the value of x is 15
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
Calculate the unit price per square foot for each of the flooring types listed above. Which flooring type costs the least per square foot?
a. carpet: $375 for 100 square feet
b. laminate: $340 for 80 square feet
c. vinyl: $402 for 120 square feet
Answer:
Vinyl
Step-by-step explanation:
The cost per square foot are is obtained by :
Total cost / total number of square feet
a. carpet: $375 for 100 square feet
Cost per square foot = $375 / 100
= $3.75 per sq ft
b. laminate: $340 for 80 square feet
Cost per sq ft = $340 / 80
= $4.25
c. vinyl: $402 for 120 square feet
Cost per sq ft = $402 / 120
= $3.35
Arranging from least to highest
Vinyl < carpet < laminate
Answer:
vinyi
Step-by-step explanation:
(12p-5q^2-q)-(q^2-8q+9q^2)
Answer:
Hope this picture helps Plzz vote brainliest
Step-by-step explanation: When u simplify the answer is
Please answer this correctly without making mistakes
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Answer:
3 tablespoons, 2 teaspoons
Step-by-step explanation:
A tablespoon is 3 teaspoons, so 62 tablespoons is 3×62 = 186 teaspoons. One teaspoon added to that gives a total of 187 teaspoons.
Dividing 187 by 17, we get ...
(187 tsp)/17 = 11 tsp
Of course, 11 tsp is 3×3 +2 tsp = 3 tbsp + 2 tsp
Can somebody help me outt pleaseee ???
Answer: a= 187.5 m squared
Step-by-step explanation: a=ab/2
Answer:
187.5
Step-by-step explanation:
times 25 and 15 = 375
375 divided by 2 = 187.5
A Four-digit number is divided by a 35 and has a remainder of 15. The first three digits of the number 155. What is the fourth digit of the number
Answer:
the last digit is 5
Step-by-step explanation:
