at a fourth of july celebration, a rocket is launched straight up with an initial velocity of 128 ft. The height of the rocket in feet above sea level is modeled by the expression 128t - 16t^2, where T is the time in seconds after the rocket is launched. (a) what is the gcf of each term of the expression? (b) write the factored form of the expression for the height of the rocket after T seconds. (c) well the height of the rocket be greater after four seconds or after six seconds?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

Height of the rocket is given by

[tex]h=128t-16t^2[/tex]

[tex]h=8\times 16t-16t\times t[/tex]

(a)Greatest common factor in each term is [tex]16t[/tex]

(b)

[tex]h=8\times 16t-16t\times t[/tex]

[tex]h=16t(8-t)[/tex]

(c)

After [tex]t=4\ s[/tex]

[tex]h=16\times 4(8-4)[/tex]

[tex]h=256\ m[/tex]

after [tex]t=6\ s[/tex]

[tex]h=16\times 6(8-6)[/tex]

[tex]h=192\ m[/tex]

Thus after [tex]4\ s[/tex] height of rocket is greater .


Related Questions

can you put 150 177 205 163 172 190 186 168 155 in order

Answers

150, 155, 163, 168, 172, 177, 186, 190, 205

What’s the value of x in a triangle x top right 45 top left 98 bottom

Answers

Answer:

The value of x is 37°.

Step-by-step explanation:

Given that the total angles in a triangle is 180°. In order to find the x value, you have to substract 98° and 45° from 180° :

[tex]x + 98 + 45 = 180[/tex]

[tex]x = 180 - 98 - 45[/tex]

[tex]x = 37[/tex]

Answer: 37

Step-by-step explanation:

If you add in all numbers inside the triangle, it should be equal to 180 degrees meaning x + 98 + 45 = 180.

To solve the unknown, we must first add in the numbers:

x + 143 = 180

To get the variable by itself, we must subtract 143 to both sides which gives us 37 degrees.

Now that we know that x is equal to 37, we should make sure it is the right answer, to do that, we need to replace x with 37:

37 + 98 + 45 = 180

By adding in all the numbers, we should get 180.

Maria bought a bag of flour so that she can make muffins it has a mass of 2.26 kg Shanice 450 g of flour to make one batch of muffins how many kilograms of flour will remain after Maria make slime

Answers

Answer:

10 grams or 0.010kg

Step-by-step explanation:

The mass of the bag used to make flour is 2.26 kg = 2260 grams

Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.

Therefore: [tex]\frac{2260}{450} = 5.02[/tex]

We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.

Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.

Note: 2260 -2250 = 10 grams.

Subtract, in order to find how many you have left.

Hope this helps.

After making one batch of muffins, Maria will have 1.8 kg of flour remain.

What is 1 kg when it is converted into grams?

1 kg will be 1000 grams when converted.

Given,

Maria bought 2.26 kg of flour = 2260 grams of flour.

To make 1 batch of muffins, Maria needs 450 grams of flour.

Therefore, the flour Maria has after making one batch of muffin = (2260 - 450) grams = 1810 grams.

Learn more about the conversion of kg to gram here: https://brainly.com/question/18811876

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Mark wants to calculate the circumference of a circle with a radius of 7 centimeter. Which expression represents the circumference of the circle?
2 x 3.5 x π
2 x 14 x π
72 x π
14 x π

Answers

Answer:

14 x π

Step-by-step explanation:

The circumference of a circle is 2πr

Here, r is 7.

2 x 7 x π

=> 14π

how many pounds fit into one ton

Answers

2000 pounds fits into my 1 ton

Answer:

2000

Step-by-step explanation:

there are 2000 pounds in a ton

Right triangle ABC is shown.

Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.

Which equation can be used to solve for c?

sin(50o) = StartFraction 3 Over c EndFraction

sin(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction 3 Over c EndFraction

Answers

Answer:

sin(50deg) = 3/c

Step-by-step explanation:

Applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.

Trigonometry Ratios

To solve a right triangle, any of the ratios, SOH CAH TOA, can be applied.

Thus, given right triangle ABC, where:

angle ACB = right angleangle CBA (∅) = 50 degrees (reference angle)AC = 3 m (opposite)AB (c) = hypotenuse = ?

Apply SOH:

sin ∅ = opp/hyp

Substitute

sin (50°) = 3/c

Therefore, applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.

Learn more about trigonometry ratio on:

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Solve for X 2( 5.5x+1) =24





)

Answers

Answer:

x=2

Step-by-step explanation:

11x+2=24

11x=22

22/11=2

x=2

For a 11 1/5 mile trail ride, trail markers will be set up every 1/10 mile. How many markers are needed. Show work.

Answers

Answer:

112

Step-by-step explanation:

11 1/5 divied by 1/10

12 forge fjfhf reggae svgd

Two way tables compare and contrast how many categories: answer options listed in pic! pls help worth 20 points!!!!

Answers

Answer:

A two way table compares and contrast 2 categories.

Answer: the answer is 2

Step-by-step explanation:

Which expression best estimates

Answers

Answer:

Step-by-step explanation:

-18 1/4 rounds down to -18 and 2 2/3 rounds up to 3.  Then -18/3 = -6

Pls help I will really appreciate it

Answers

Answer:

Side KL.

Step-by-step explanation:

Side KL will have a negative slope due to the reflection of side 1 , then the 90 degree clockwise rotation will  will take it down  towards the x axis and it will then have a positive slope,

The following function is continuous at all points in the domain of real numbers. What is the value of n?
f(x)= 2x+2, if x > n
4x, if x [tex]\leq[/tex] n
A. -1
B. 0
C. 1/2
D.1

Answers

Answer:

D. 1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression [tex]f(x)=g(x)[/tex], where [tex]f(x) =2x+2[/tex] and [tex]g(x)=4x[/tex]. So,

[tex]2x+2=4x\\2=4x-2x\\2x=2\\x=1[/tex]

Which means [tex]n=1[/tex], that is, if the n is greater than 1, then the function is defined by [tex]f(x)[/tex], if the n is least or equal than 1, then the functioni is defined by [tex]g(x)[/tex]

Therefore, the right answer is D.

Answer:

1. A, -1

2. D, 1

3. B, It is discontinuous because there is a value a for which f(a) is not defined 4. D, It is discontinuous because there is a value a such that lim f(x) does not exist

WILL GIVE BRAINLIEST HURRY!

Answers

I your answer (the selected one) is correct

Answer:

Its a bell chart because the chart rapidly increases up from the right and decreases normally from the left like a normal graph. This graph has a normal distribution

Step-by-step explanation:

Write the following as an equivalent product of conjugates:
(a) x^2 - 16
(b) 16x^2 - 49
(c) x^4 - 36

if u answer this ty

Answers

Answer:

Answers are below

Step-by-step explanation:

(a) (x+4)(x−4)    Factor the given expression

(b) (4x+7)(4x−7)   Factor the given expression

(c) (x²+6)(x²−6)   Factor the given expression

If these answers are correct, please make me Brainliest!

How to find the missing side of this triangle

Answers

Answer

3√21 cm

I hope it helps

Answer the question attached:

Answers

The 3rd answer is the correct one
You got paid $7.50 per hour
Since 300 divided by 40 is 7.5, the correct answer is that every hour you were paid $7.50
Hope this helps!

For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.


The given angle measure is 27º

Answers

Answer:

A complementary angle is 63 degrees and supplementary angle is 153 degrees.

Step-by-step explanation:

Complementary angle:

A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90.  90-27=63

Supplementary angle:

A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153

Answer:

The supplementary angle is

153°.

The complementary angle is

63°.

Step-by-step explanation:

Answer this question right with an explanation and I will mark you brainliest

Answers

Answer:

8 oz.

Step-by-step explanation:

I say this because, initial value means the value at the start. The candle starts at 8 oz. therefore it is the initial value. The reason it is the weight and not the time is because the weight is the dependent variable.

Need help with maths

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLZ HELP ME HURRY I NEED THE ANSWER ASAP!!!!!!!!

Answers

Answer:

The answer is D

Answer:

d

Step-by-step explanation:

2t+8= -10 answer for t​

Answers

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

you subtract 8 from both sides the -10 then becomes -18 then you divide it by 2

Simplify: (x − 7)(6x − 3) A. 6x2 + 21 B. 6x2 + 39x − 21 C. 7x2 − 10 D. 6x2 − 45x + 21

Answers

Answer:

6x2−45x+21 D.

Step-by-step explanation:

(x+−7)(6x+−3)

=(x)(6x)+(x)(−3)+(−7)(6x)+(−7)(−3)

=6x^2−3x−42x+21

=6x^2−45x+21

pls mark me brainliest

Answer:

6x^2 -45x +21

Step-by-step explanation:

(x − 7)(6x − 3)

FOIL

first; x*6x = 6x^2

outer: -3x

inner: -7*6x = -42x

last: -3*-7 = 21

Add them together

6x^2 -3x-42x +21

Combine like terms

6x^2 -45x +21

find the diagonal length of this figure

Answers

Answer:

the answer is,

11.18mm

by pythagoras theorem, you'll get base diagonal as 10mm, therefore the diagonal*marked red is 11.18mm.

Answer:

[tex]5\sqrt{5} \:mm[/tex]

or

11.18 mm

Step-by-step explanation:

length of diagonal

[tex]=\sqrt{l^{2} +w^{2}+h^{2} } \\=\sqrt{8^{2} +6^{2}+5^{2} } \\=\sqrt{64 +36+25 } \\=\sqrt{125 } \\=5\sqrt{5} \: mm\\=11.18 mm[/tex]

Anyone know this one? please help! thank you​

Answers

Answer:

24%

Step-by-step explanation:

You first add the boys because you know you only look at the boys not the girls. You get the answer 233. Then you divide the number of boys who chose Niagra Falls which is 56 over 233. You will get a decimal. You then multiply the decimal by 100 to get your answer. The answer would be 24.0343348% which would round to 24%.

Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are state quarters. Based on this sample, how many of the quarters in the full bag were likely to be eagle quarters? 400 200 100 300

Answers

Answer:

400

Step-by-step explanation:

The number of eagle quarters likely to be in the bag is 200.

Option B is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of quarters = 500

Out of the 10 quarters.

Eagle quarters = 4

This means,

Percentage of eagle quarters,

= 4/10 x 100

= 40%

Now,

40% of 500 quarters.

= 40/100 x 500

= 200

Thus,

The full bag is likely to have 200 eagle quarters.

Learn more about percentages here:

https://brainly.com/question/11403063

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Fill in the blank using the options below
At a restaurant, 6 hot dogs cost $8.28 and 7 hamburgers cost $9.24.
The unit price of the ________ is _________ greater than the unit price of the _______
A. Hotdog A. $0.96 A. Hotdogs
B. Hamburger B. $1.38 B. Hamburgers
C. $1.32 C. Enter value
D. $0.06

Answers

Answer: The unit price of the hot dog is $1.38

The unit price of the hamburger is $1.32

So the hotdog is more expensive than the hamburger

Step-by-step explanation:

7 ∙ 15 can be written as _____.

5(7 + 10)
10(7 + 5)
7(10 + 5)

Answers

Answer:

7(10+5)

Step-by-step explanation:

5(17)

10(12)

7(15)

Answer:

The answer would be 7(10+5)

Step-by-step explanation:

7(10) + 7(5)

70        35

     105

Have a good day!!

Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms

Answers

From the given polynomial , the sum is [tex]4n^4-6n^3+7n^2-9[/tex]

It is a 4th degree polynomial with 4 terms

Given :

The polynomial sum is

[tex]3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)[/tex]

Distribute 3n^2 inside the parenthesis

[tex]15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9[/tex]

From the above polynomial , the highest exponent is 4

The degree of the polynomial is 4

Total we have 4 terms in the polynomial

So the final polynomial is

4th degree polynomial with 4 terms

Learn more : brainly.com/question/10024410

Answer:

A: 4th degree polynomial with 4 terms

Step-by-step explanation:

Solve C = 2Pi r for r .

A. r = Cpi/ 2

B. r = 2C/ pi

C. r = C/ 2pi

D. r = 2pi r

Answers

Answer:

D

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r → D

What equation is represented in the graph?

a) y= x^2+1
b) y= x^2-1
c) y= 2x+1
d) y= |x| +1​

Answers

Answer:

D

Step-by-step explanation:

The parent graph of the one shown is the absolute value, since in the first quartile it is the line y=x and in the second quartile it is a reflection across the x axis. But since it is risen one unit, the new equation is y=|x|+1, or choice D. Hope this helps!

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