Over what interval is the function in this graph increasing

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

[tex]h=32t - 16t^2[/tex]

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t[/tex]

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

Answer:

A) But

B) Conversely

C) On the other hand

Answer:

y = -0.5

Step-by-step explanation:

Since 6 can be multiplied to -3, we can make an equation to make 6 turn into -3

6 ÷ -2 = -3

So since we did that with 6, the denominator, we do the same with 1, the numerator

1 ÷ -2 = -0.5

So the new numerator is -0.5, and the new denominator is -3

And the two fractions are the same

Answer:

2=41     1=49      3=49

Step-by-step explanation:

Angle 2 = 41 because it is directly across the given angle.

Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.

41+41=82

180-82=98

98 / 2 = 49

Angles and 3 both equal 49

Answer:

2=41°(Alternate Interior angles)

1=41°(diagonal of rhombus bisects the interior angles)

3=49°(180-82/2)

Step-by-step explanation:

Answer:

-7i - 9

-11i + 12

Step-by-step explanation:

i stands for imaginary number, in which i² = -1

6i² = 6 * -1 = -6

-6 - 7i - 3

Combine like terms:

-6 - 3 = -9

-7i - 9

2i^2 = 2 * -1 = -2

Combine like terms:

-11i + 14 - 2

-11i + 12

~

Step-by-step explanation:

x+y=3

y=2x

x+2x=3

x=3-2x

it's your required answer

Answer:

x = -3

If you need to find the value of y than substitute x=-3 into equation (1) .

Answer:

252

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x:

Answer:

1/2 (4x-8) + 3x =36

(4x-8+3x×2)/2=36

(4x+6x-8)=36×2

10x-8=72

10x=72+8

x=80/10=8is your answer

Answer:

EF = 36

Step-by-step explanation:

On a rhombus, all sides are equal because its a parallelogram so,

EF = FG

we first have to find what x equals so . . .

let's plug in the numbers

4x - 20 = 2x + 8

Now we combine like terms

we add 20 to both sides

so now it would be

4x = 2x +28

Now we subtract 2x from both sides because we want x by itself

this would equal

2x = 28

now we divide two from both sides this equals

x = 14

now we insert the numbers in the equation

4 x 14 - 20 = 36

if you have any questions feel free to ask - Mark

The requried range of the radio station is given as 1256 square miles.

The area of the circle is given by the pie times square of the radius.
A = πr², where r is the radius of the circle.

Here,
A small radio station can broadcast in a circular range with a radius of 20 miles.
The range is given by the area of the circle with given radius,
Area of the circle = πr²
Area of the circle = 3.14 × 20²
area of the circle = 1256 square miles

Thus, the requried range of the radio station is given as 1256 square miles.

Learn more about circle here:

brainly.com/question/11833983

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Answer:

5√5

Step-by-step explanation:

:))))))))))))))))))

48 calculated on my calculator and i worked it out irl your welcome

22 it would be 22 because adding all of them together is 22 meaning your welcome

Answer:

Step-by-step explanation:

9/2 is the slope. Slope defines how steep is the straight line.

Slope =  change in y ÷ change in x

In this model, 9 refers to the vertical distance between two points

and 2 refers to  the horizontal distance between two points.

9/2 is a positive slope. It indicates that if 'x' increases, y also increase.

Answer:quotient property

Product property

Step-by-step explanation:

Just took the test

Product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

A logarithm is the power to which a number must be raised in order to get some other number

The given expression is

log 200+log 5-log 100.

The sum property of logarithms is

log a+ log b= log ab

This is also a product property.

log 1000-log 100

Now we use quotient property

log 1000/100

log 10

Hence, product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

To learn more on Logarithms click:

https://brainly.com/question/28346542

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Answer:

[tex]\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

The formula for finding the any side of the triangle is

[tex]a^{2}+b^{2} =c^{2}[/tex]

We know that a=2 and c=11, so we can go ahead and plug those into the formula.

[tex]2^{2}+b^{2} =11^{2}[/tex]

[tex]4+b^{2} =121[/tex]

To find side b, we have to make it alone on one side. Subtract 4 on both side.

[tex]b^{2} =117[/tex]

Now square root both sides, and that leaves us with:

[tex]b=\sqrt{117}[/tex] or [tex]3\sqrt{13}[/tex]

Answer:

-9

Step-by-step explanation:

Answer: B

Step-by-step explanation:

y intercept is -2

y = 3/2x^2 + 4x – 2

y = 3/2(0^2) + 4(0) – 2 = -2

and x intercepts are

0 = 3/2x^2 + 4x – 2

about

x =  0.43050087, -3.09716754

Answer:

free points thanks

Step-by-step explanation:

Imao

Answer:

42.667 mm to 42,673 mm

Step-by-step explanation:

42.67-0.003=42.667

42.67+0.003=42.673

Add and subtract the discreprency from the standard size.

Answer:

$848.99×8.75/100

=$74.29

$848.99+$74.29

=$923.3

Answer: [tex]\frac{3}{6}[/tex] or 0.5

Step-by-step explanation:

It has 6 sides,  {1,2,3,4,5}. So the total number of cases is 6.

Even number includes  {2,4,6}.  The sample space of rolling an even is 3.

The probability of rolling an even number formula is:

P(Rollinganevennumber)= [tex]\frac{Number of cases in the sample space​}{Total number of cases}[/tex]

The probability of an even number is [tex]\frac{3}{6}[/tex] or 0.5

Answer:

45

Step-by-step explanation:

Answer:

9/28

Step-by-step explanation:

-1/4 ÷ (-7/9)

= -1/4 x -9/7

- x - = +

So, 9/28 #