1. The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter. Find or approximate the time when the object hits the ground. Explain your method.
2.The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
From what height is the object dropped? Explain how you know.

Answer:

[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]

Answer:

C (3rd choice)

Step-by-step explanation:

Domain (x-values):

We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.

Range (y-values):

We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Answer: c

Step-by-step explanation:

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

Step-by-step explanation:

answer is in photo above

Answer:

0.25

Step-by-step explanation:

f(1)=(1/4)^1

0.25

Answer: D, (1,3)

Hope this helped

Answer:

b. (0, 1.5)

Step-by-step explanation:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(3,7)\\(-3,-4)\\3+(-3)/2 , 7+(-4)/2\\(0, 1.5)[/tex]

Answer: [tex]100\ cm^3[/tex]

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is [tex]160\ cm^3[/tex]

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]

Sand [tex]5x=5\times 20=100\ cm^3[/tex]

So, there is [tex]100\ cm^3[/tex] of sand in the mixture

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

Answer:

$19.99

Step-by-step explanation:

There are 12 months in a year, so in 2 years, there are 24 months.

Find how much each payment will be by dividing the cost by 24:

479.76/24

= 19.99

So, each payment will be $19.99

Answer:

= $1226.25

Step-by-step explanation:

There are 327 students

Each student lunch is $3.75

She needs 327 of these $3.75 lunches

So 327 times $3.75

= $1226.25

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

┻━┻︵└(՞▽՞ └)

Answer:

The answer should be A.

Step-by-step explanation:

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

1) 2(x + 7)

2x + 14

2) 8 (x - 3)

8x - 24

3) -4 (y - 6)

-4y + 24

4) -5 (2x + 3)

-10x - 15

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Answer:

it's hypotenuse will be -8

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

OH SO LIKE CHESTER WAS A REALLY BAD PERSON.

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)

Answer:

yes they can

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes they can............