The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?

Answers

Answer 1

Answer:

0.5 < x < 3

or (0.5, 3)

Step-by-step explanation:

-16t² + 56t + 2 = 26

Subtract both sides by 26

-16t² + 56t + 2 = 26

                 -26   -26

-16t² + 56t - 24 = 0

Divide both sides by -8 to simplify

(-16t² + 56t - 24)/8 = 0/8

2t² - 7t + 3 = 0

Factor

(x - 3)(2x - 1) = 0

Do this to find the x's

x - 3 = 0

 + 3  +3

x = 3

2x - 1 = 0

    + 1  + 1

2x = 1

2x/2 = 1/2

x = 0.5

0.5 < x < 3

This means the intervals will have to be between 0.5 and 3 seconds


Related Questions

6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.


GUYS HELP!​

Answers

Answer:

Step-by-step explanation:

Where do you graph 0, -1 and -1, 0 on a the coordinate plane? Please help asap

Answers

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\vector(1,0){4}}\put(0,0){\vector(-1,0){4}}\put(0,0){\vector(0,-1){4}}\put(0,0){\vector(0,1){4}}\put(0,-1){\circle*{0.5}}\put(-1,0){\circle*{0.5}}\end{picture}[/tex]

View it from web .

What is the cube of the cube root of 27?​

Answers

Answer:

[tex] { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you[/tex]

Please help will give brainliest

Solve the equation.
-(x + 2) – 2x = -2(x + 1)
x = [?]

Answers

Answer:

x = 0

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

-x-2-2x = -2x-2

-3x-2 = -2x-2

-3x+2x = -2+2

x = 0

Answer:

x = 0

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

=> - x - 2 - 2x = -2x - 2

=> - 2 + 2 = - 2x + 2x + x

=> 0 = x or x = 0 (Ans)

A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?

Answers

Answer:

$330

Step-by-step explanation:

To find the total area of the shop do 6 times 11

6*11 = 66 sq. yards

Now, do 5 * 66 because one yard is $5

5 * 66 = 330

It costs $330

Root 12 of Rood 12, see attached document

Answers

48h.jftuvjvdbdhhdjfjjfjh

HELPPPP FASTTTT PLEASEEE!!!!!!!​

Answers

Answer:

35 mph

Step-by-step explanation:

70/2 = 35

E is the mid point of DF. If DE= 7x. What is the length of DE

Answers

Answer:

I think you're missing information and don't you mean "what's the length of DF?"

Question is in the picture

Answers

9514 1404 393

Answer:

x = 3y = 9

Step-by-step explanation:

Congruent sides are the same length.

  AB = DF

  3(2x +10) = 12x +12

  6x +30 = 12x +12 . . . . eliminate parentheses

  18 = 6x . . . . . . . . . . . . subtract 6x+12

  3 = x . . . . . . . . . . . . . divide by 6

__

  BC = FG

  2y +12 = 2(2y -3)

  y +6 = 2y -3 . . . . . . . divide by 2

  9 = y . . . . . . . . . . . . subtract y-3

i need help answering the question in the picture provided

Answers

answer:

(a).

Equation of circle is x² + y² - 25 = 0

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

[tex]{ \boxed{ \bf{ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}}}[/tex]

but g and f are 0:

[tex] {x}^{2} + {y}^{2} + c = 0 \\ but : \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = { - 25} [/tex]

jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt?

Answers

Write the expression out then solve it from there

i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quadratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=

Answers

Answer:

The minimum value of this quadratic function is -4.

At the point (-4, 0), the x-axis intercepts with the quadratic graph.

There is 1 root of this quadratic equation.

Approximately, when y=1, the x value could be -5 or -3.

Help please ASAP!!!!!

Answers

Answer:

answer is c because you gota tranlate it left

Step-by-step explanation:

can i use a cash counter as a cashier. As in a website on my phone that tells me the exact change to give out to a person

Answers

seems pretty accurate so sure. it’s really hard to count up a lot of change so that’s helpful however if it’s not permitted then Sox

If a set contains 15 proper subsets then number of elements in that set​

Answers

Answer

32,768

Step-by-step explanation:

Write an absolute value equation with-1 and 5 as the solution.

Answers

Answer:

it is detailed solution. please mark brainlest.

Thank you have a nice day

The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The solutions of the absolute function are -1 and 5. Then the equation of the absolute function will be

x = -1, 5

Subtract -2 from both sides, then we have

x - 2 = -3, 3

Then apply Mode on both sides, then the equation will be

|x - 2| = 3

The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ2

Plane P is a cross-section of the solid below. What shape is the cross section?

A. not enough information
B. rectangle
C. hexagon
D. pentagon

Answers

A rectangle exists as a quadrilateral with four right angles Option B. rectangles the cross section.

What is rectangle?

In Euclidean plane geometry, a rectangle exists as a quadrilateral with four right angles. It can also be described as an equiangular quadrilateral since equiangular compromises that all of its angles exist equal, or a parallelogram including a right angle. A rectangle with four sides of equivalent length exists as a square.

In mathematics, solid geometry or stereometry exists the traditional name for the geometry of three-dimensional, Euclidean spaces. Stereometry accords with the dimensions of volumes of different solid figures, including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bordered by spheres.

Hence,Option B. rectangles the cross section.

To learn more about rectangle refer to:

https://brainly.com/question/19819849

#SPJ2

The sum of 7/4 and pi i

Answers

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

Use a commutative property to write an equivalent expression.
7x + y

Answers

9514 1404 393

Answer:

  y +7x

Step-by-step explanation:

The commutative property of addition lets you swap the order of the two terms:

  7x +y = y +7x

The commutative property of multiplication lets you swap the order of the factors.

  7x +y = x·7 +y

Determine the equation of the perpendicular bisector of the segment with endpoints (–5, 3) and (5, 5).

Answers

Answer:

y = –5x + 4

Step-by-step explanation:

i had this question

Been stuck on this one. Sos

Answers

Answer:

B. 50%

Step-by-step explanation:

7/20 = 35%

35% + 15% = 50%

100% - 50% = 50%

List the domain and range of the relation {(1, -9), (8,8), (0, -9), (8, 1), (1,9)}

Answers

Answer:

D={1, 8,0}

R={-9, 8,1,9}

Step-by-step explanation:

Here,

we, know, domain(D) =set of all first elements

thus, D={1,8,0}

again, range(R) =set of all second elements

thus R={-9,8,1,9}

How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?

Answers

Answer:

there are 48cubes fetted into a box

The answer is 48.
You find the volume of the box - 12 X 8 X 4 = 384
Find the volume of the Cube with side 2 cm - 2 X 2 X 2 = 8
344 divided by 8 = 48
Therefore, 48 cubes would fit into the box

Which of the following is the smallest number?
O 7.8* 102
O 2.36 * 10-3
O 1.94 * 105
04.19* 109

Answers

here’s your answer :the second one is smallest number,
the answer is the second option!!

write 0.8 as a fraction in simplest form.

Answers

The answer would be 8/10, but the simplified answer would be 4/5. I hope this helped answer your question for you. Enjoy your day, and take care!

4/5. Hope this helps!

Ryan, a consumer electronics​ salesperson, earns a base salary of ​$1100 per month and a commission of 8​% on the amount of sales he makes. One month Ryan received a $1492 paycheck. Find the amount of his sales for the month.

Answers

1100 times 1492, I’m not sure but I hope it helped!

A statement that consistently and correctly describes a natural phenomenon is a scientific.

A. Control

B. Theory

C. Hypothesis

D. Observation

Answers

B. Theory
hope this helps

Find the 50th term of the following
arithmetic sequence 5, 9, 13, 17?

Answers

Answer:

201

Step-by-step explanation:

First you need to know the position to term rule and to find this you use a formula which is:

tn = an + b

Where tn is the term number,  a is the difference between the other terms.

So the tposition to term rule here is 4n+1.

Then we substitute n for the value 50 making it 4(50) + 1 = 201.

201 is the 50th term

How do you convert 3.2 (2 repeating) as a fraction?

Answers

Answer:

3+2/9 = 29/9

Step-by-step explanation:

examples:

4/9 = 0.444444

8/9 = 0.888888

3/9 = 0.3333333

7/9 = 0.777777

1/9 = 0.111111111

2/9 = 0.22222222

80/99 = 0.808080

67/99 = 0.6767676767

44/99 = 0.4444444

12/99 = 0.1212121212

345/999 = 0.345345345

i think you get the point.

so we know 2/9 = 0.22222, so now just add a 3:

3+ 2/9 = 27/9 + 2/9 = 29/9

Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes 15 hours for the number of bacteria to increase to 300.

Answers

Answer:

so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours

+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes

Step-by-step explanation:

answer from gauth math

Answer:

22 hours and 30 minutes

Step-by-step explanation:

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