Mathematics High School

1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the rocket to reach its greatest height?​

Answers

Answer 1

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: [tex]x=\frac{-b}{2*a}[/tex]. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

[tex]t=\frac{44.1}{2*(-4.9)}[/tex]

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

Related Questions

What is the slope of the line that passes through the points (3, 4) and (-8, -2)?

Answers

Answer:

6/11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-8-3)

m=-6/-11

m=6/11

Enter the ordered pair that corresponds to point C
on the plot below.
10
8
6
4
2
0
0
1
2
3
4
5
6
7
Answer here
SUBMIT

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Answer:

x = 4

y = 5

Step-by-step explanation:

Good luckk!

Please answer quickly!!!!

Answers

Answer:

..... .

Step-by-step explanation:

......... ......

10. An item is originally priced at $75. It is marked down 30% the first week but still does not sell. It is then
further discounted 20% and sells to a nice couple from Chicago.
a) At what price did the item finally sell for?
b. If sales tax is 9 %%, how much did the couple pay altogether for the item?

Answers

Answer:

A. 37.50

B. 40.87

Step-by-step explanation:

75.00x50%=37.50

37.50×9%=3.37

37.50+3.37=40.87

HELP WHAT IS THE SLOPE!!!!!

Answers

Answer:

1/3

Step-by-step explanation:

Gradient=3/9=1/3

1/3 is the slope for this graph

A charity distributed 80 000 emergency packages during 2018. This number is
expected to increase by 15% each year.
Calculate how many emergency packages the charity expects to distribute in 2021.

Answers

Answer:

121670

Step-by-step explanation:

The number of packages can be defined with the function:

P(t) = P(t-1)*1.15 where t = the years and 1.15 represents the 15% increase.

Packages during 2018: P(2018) = 80000

Packages during 2019: P(2019) = P(2018)*1.15 = 92000

Packages during 2020: P(2020) = P(2019)*1.15 = 105800

Packages during 2021: P(2021) = P(2020)*1.15 = 121670

PLEASE ANSWER ASAP !!!

Answers

Answer:

4/-5

Step-by-step explanation:

What does 5 18/12 convert to?

Answers

Answer:

6 1/2

Step-by-step explanation:

what is the distance in units between point A(5,-8) and point B(-2,4 on the coordinate plane

Answers

Answer:

13.89

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Solve the quadratic equation numerically (using tables of x- and y- values).
x squared + 2 x + 1 = 0

Answers

Answer:

x=-1

Step-by-step explanation:

Step 1: Factor

[tex]x^{2} +2x+1[/tex] => [tex](x+1)(x+1)[/tex]

Step 2: Solve for x.

[tex]x+1=0[/tex]

   [tex]-1[/tex]     [tex]-1[/tex]

-----------------

[tex]x=-1[/tex]

have a free brainliesttttttttttttttttttt

Answers

Ok me pls thank you so much you are a heavenly angel

omg thankss even thogh the brainliest goes to them

Find the area of the regular shape in squared units

Answers

what shape? Is it a triangle, square,




help plz I dont remember how to solve these

Answers

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

12.56 inches²

Step-by-step explanation:

Area = π × r²

A = π × 2²

A = π × 4

A = 4(3.14)

A = 12.56

Factorise the following

Answers

Answer:

D

Step-by-step explanation:

First take out a factor of 2:

2(1 - 25x^2)

Then factor the difference of squares:

2(1 -5x)(1+5x)

Add the polynomials:
2a+3b+5a-7b Explain your response

Answers

7a - 4b

Step-by-step explanation:

Add the numbers ending with 'a' together, and then add the numbers ending with 'b' together.

First of all, I will put the letters beside each other.

2a + 5a + 3b - 7b

2a + 5a = 7a

3b - 7b = - 4b

Therefore, the answer is 7a - 4b.

how to simplify 1.1(x+2)

Answers

Answer:

1.1(x+2) = 1.1x + 2.2

Step-by-step explanation:

I) Distribute the terms using the Distributive Property:

1.1(x+2)

= 1.1(x) + 1.1(2)

II) Simplify:

1.1(x) + 1.1(2)

= 1.1x + 2.2

1.1x + 2.2

How this helped :)

Write 0.0065 in standard form

Answers

Answer:

6.5 × 10^-3

Step-by-step explanation:

there 3 decimal points to make it 6.5 so it makes it -3

Joy has a ribbon that measures 16 yards. She cuts 9 pieces of ribbon to decorate gifts. Each piece of ribbon that Joy cuts measures 4 feet.

What is the length, in yards, of the remaining ribbon?

Answers

Answer:

4 yds

Step-by-step explanation:

So... 16 yards is 48 feet (because one yard is 3 feet so I just multiplied by 3)

and she cuts 9 pcs of ribbon each 4 feet

so it's 9 x 4 = 36

48 - 36 = 12

And 12 feet equals 4 yards

So, Joy has 4 yards of remaining ribbon

Answer:

9.3 yards

Step-by-step explanation: the exact answer is 9.3333333

What is the area of this polygon?

Answers

Answer:

We need more info

Step-by-step explanation:

More info, pic of polygon?

Which expression is equivalent to the expression below?

2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k

b} 14k−1

c} 4k−4

d} 4+4k

Answers

Answer:

D. 4+4k

Step-by-step explanation:

(12k +8) - (8+ 8k - 4)

12k +8 - 8 - 8k + 4

4k +4

d}4+4k

2(6k+4)-4(2+2k-1) writing down the question

12k+8-8-8k+4 multiplying the numbers by the coefficients

12k-8k+8-8+4 collecting like terms

4k+4 the answer

What is the Mean for the given data: 2, 8, 7, 6, 6, 3, 4.4, 5.1, 9, 8

Answers

Answer

5.9

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms

responda a expressão 2x+3x+5x:​

Answers

[tex]\tt{}2x + 3x + 5x[/tex]

[tex]\tt{}(2 + 3 + 5)x[/tex]

[tex]\tt{}10x[/tex]

Answer:

10x

Step-by-step explanation:

2x + 3x + 5x

Simplify the terms by subtracting or adding.

(2 + 3 + 5)x

Calculate the sum of positive numbers.

2 + 3 + 55 + 510x ✅

Please answer this question
PLEASEEEEE HELP MEH
I'm preparing for a math exam please help mehhhh

Answers

Answer:

1. It is a acute-angled triangle

2. It is a right-angled triangle

3. It is a obtuse-angled triangle

which decimal is equivalent to 0.50

Answers

Answer:

There is not another decimal equivalent to this but thre is fractions which your would be, 1/2 2/4

Determine the slope given two points. Point 1 (6,-12) Point 2 (15,-3

Answers

Answer:

slope is 1

Step-by-step explanation:

take the two ys and subtract and take the two xs and subtract and then put y/x

Hope this helps! :)

Answer:

1

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(-3 + 12) / (15 - 6)

9 / 9

= 1

So, the slope is 1

I
T
4
2.5
4.8
3
2
K
1.6
X
J
Are the triangles similar?
[ Select ]
someone please help me !

Answers

Answer:

no triangle IJK is not similar to triangle TXZ bcoz sides are not proportionate

-6/7 × (-3/8) answer?/

Answers

Answer:

Step-by-step explanation:

0.32142857142

Answer:

-6/7*-3/8= -18/56= -9/28

hope it is right answer for it!!

Can someone help me answer these questions

Answers

12. I’m sorry I’m horrible at word problems
13. C
14. C

Plz help fast will mark brainliest

Answers

Answer:

1.8 , 2.2 , 2.6 thats it

doneeeeeee

Answer:

1.8,1.12,1.16

but don't mark me because I'm not sure for my answer

Areas of Parallelograms and Tria
Find the perimeter and area of each parallelogram

Answers

Answer:

The area A of a parallelogram is given by the formula. A=bh. Over here, b is the length of one base and h refers to the height. Further, the perimeter of a parallelogram is the sum of the lengths of its four sides

Step-by-step explanation:

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