Over what interval of x values is the function increasing ?

A) -infinity,2
B) (-1,5)
C)- infinity, 9
D) 2, infinity

Answer:

(a)19.6 meters

(b) 1 seconds

(c)30.625 meters

Step-by-step explanation:

The height of the balloon is modeled by the equation:

[tex]h = -4.9t^2- 14.7t + 19.6[/tex]

(a)Since the balloon is thrown from the top of the house,  the height of the house is at t=0

When t=0

[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]

The height of the house is 19.6 meters.

(b)When the balloon hits the ground

Its height, h(t)=0

Therefore, we solve h(t)=0 for values of t.

[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]

[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]

Therefore, the ball hits the ground after 1 seconds.

(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.

[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]

Answer:

4 trucks

Step-by-step explanation:

Here, we are told that 5 trucks carry a load of 20 m^3 each

This means that the total amount of load is 5 * 20 = 100 m^3

Now, we are having this load carried by a number of trucks with each carrying 25 m^3

The number of trucks that would carry the load would be 100 m^3/25 m^3 = 4

Answer:

-5x^2-5x=+1

Step-by-step explanation:

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

Answer:

Approximately 268m

Step-by-step explanation:

In this diagram a semi circle is drawn inside a rectangle of length 150m.

Length of diameter of a semicircle = 150 m

So radius of the semicircle = 150/ 2 = 75m

We have to find the perimeter of the shaded region.

Perimeter of the shaded region = length of tangents drawn on the circle at A and B + m(arc AB)

Length of tangents = radius of the semi circle = 75 m

and m(arc AB) = Perimeter of a circle/ 4 = (2 x pi x r) / 4

= 2 x pi x 75 / 4

= 471 / 4

= 117.75 m

Now Perimeter of the shaded region = 75 + 75 + 117.75

P = 267.75 ≈ 268 m

Answer:

1

Step-by-step explanation:

3^0

Any number (  besides 0) raised to the zero power is 1

Answer:

[tex]1[/tex]

Step-by-step explanation:

Any number when its write as raise to the power zero = 1

So,

[tex] {3}^{0} = 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: See bolded below.

Step-by-step explanation:

Composite numbers are basically the opposite of prime numbers. Prime numbers are integers that can only be multiplied by 1 and itself, such as 2 and 3. Composite numbers are the numbers that aren't prime. It is formed by 2 smaller integers multiplying together that is more than 1 and itself. An example of a composite number would be 6. Not only can it be formed by 1 multiplied by itself, 6, is can also be formed by multiplying 2 and 3.

14. 33, 39, 51, 57

15. 53, 59, 67

16. 51, 63, 77, 81, 87

All the composite numbers have many factors that multiply together to get them. The prime numbers above are numbers that can only be formed by multiplying 1 by itself.

Answer:

Step-by-step explanation:

14.  33, 39, 51 and 57

15. 51, 53, 59 and 67

16. 51, 65, 77, 81 and 87

Answer:

32

Step-by-step explanation:

b^2c^1

Let b=-4 and c= 2

(-4)^2 ( 2)^1

16 * 2

32

Answer:

The correct answer is

-32

Step-by-step explanation:

All you need to do is plug in -4 and 2 into the equation to get:

4^2 times 2^1

This equals ...

-32

Hope this helps!

- xoxo Quinnisa

Answer:

Stairs, escalators, elevators, ramps...

Step-by-step explanation:

If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.

I don't know how to make it sound "mathy" but..

Ladders are super straight and so for high floors, the slope of the ladder will be too steep for anyone to climb without gravity interfering.

The level of safety with stairs is higher because instead of going straight up, The steps provide a flat surface for someone to stand on while climbing the stairs and there is a much more stable foundation. Stairs can have protection like a guard rail and even go in a spiral motion upwards because they are more stable and safe. It is still possible to fall if one is not careful because of pesky gravity.

Escalators are pretty much moving stairs and the level of safety is greater because of the strong foundation and flat surface to stand on. Of course falling can happen, lowering the safety, but this is not likely because of the slowly enough moving steps. There is a rail as well and as long as people are careful, there aren't usually any casualties.

Elevators take up way less space than stairs and escalators because they can go straight up and down. The level of safety is fairly high because an elevator is a pulley system and people don't involve all that much moving around. Just go in the mechanical box, the doors close for safety, click a button, and then go up or down.

I don't know how to incorporate mathematical facts into this question because this is literally logic not math in my opinion. Honestly, ladders aren't even used that much, I don't think, except for building and house work.

I hope this helps you with whatever you are doing!

<3

Answer:

9

3 x 3 = 9

9 x 3 = 27

Hope this helps

Step-by-step explanation:

Answer:

9 is the second term

Step-by-step explanation:

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

Read more about numbers at

https://brainly.com/question/10853762

#SPJ1

Answer:

Step-by-step explanation:

So probability of getting a sum greater than 9 is= 6/36=1/6 Ans.

I think. Im sorry I searched this on qoura.

I just really need some points

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

Answer:

[tex]-\frac{2}{5}[/tex]

Step-by-step explanation:

The geometric progression given is:

-6250, 1250, -250...

The first term (a) is -6250, and the common ratio (r) can be gotten by dividing the second term by the first term:

r = 1250/-6250 = [tex]-\frac{1}{5}[/tex]

A geometric progression is generally given as:

[tex]a_n = ar^{n - 1}[/tex]

where [tex]a_n[/tex] = nth term

The 7th term of the progression above is therefore:

[tex]a_7 = -6250 * (-\frac{1}{5} )^6\\\\a_7 = -\frac{2}{5}[/tex]

The 7th term of the geometric progression is;

a_7 = -2/5

The formula for the nth term of a geometric progression is;

a_n = ar^(n - 1)

Where;

a is first term

r is common ratio

n is the position of the term in the series

We are given the series;

-6250, 1250, -250...

Thus;

First term; a = -6250

Common ratio; r = 1250/-6250

r = -1/5

Thus;

a_7 = -6250(-1/5)^(7 - 1)

a_7 = -2/5

Read more at; https://brainly.com/question/25724889

Answer:

la respuesta a ambos es 1 porque si elevas cualquier numero a un exponente de 0 este queda en 1

Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

Answer:

625πmm³

Step-by-step explanation:

The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.

Volume of a cone = 1/3πr²h

r is the radius of the cone

h is the height of the cone

Since the cone are 15mm high, their individual height = 15mm

Diameter = 10mm, radius = 5mm

Volume of a cone = 1/3× π × 5²×15

Volume of a cone = 1/3 × π × 25 × 15

Volume of a cone = 125πmm³

Volume of both cones = 2(125π) = 250πmm³

Volume of a cylinder = πr²h

Height of the cylinder = 15mm

Radius of the cylinder = 5mm

Volume of the cylinder = π(5)²×15

Volume of the cylinder = 375πmm³

Volume of the composite solid = volume of the two cones + volume of cylinder.

= 250πmm³+375πmm³

= 625πmm³

Answer: 625pimm^3

Step-by-step explanation:

Answer:

(1.142857143 , -8)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

2x3x2=12 396/12=33

Answer:

Average is 82

Step-by-step explanation:

88 + 73 + 81 + 83 + 79 + 73 + 97 = 574

Count of numbers = 7

574/7 = 82

Answer:

Step-by-step explanation:

Statement A is closest to being correct.  To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.

Step-by-step explanation:

a p e x

Step-by-step explanation:

3*85 <= 83+91+x <= 3*90  

255 <= 174+x <= 270  

81 <= x <= 96

Answer:

81 ≤ x ≤ 96

Step-by-step explanation:

85 ≤ (x + 83 + 91)/3 ≤ 90

85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90

81 ≤ x ≤ 96

Answer:

Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Step-by-step explanation:

Jason is scuba diving at a constant rate toward the ocean floor.

Equation: [tex]y= -2.5x- 5[/tex]

x = The number of seconds Jason has been swimming.

y=The depth of Jason in meters  below sea level

General equation : y=mx+c

m = Slope = rate of change per unit

On comparing m = -2.5

Negative signs represents the descending .

So, rate of descending per second = 2.5 m/sec

-5 denotes the initial position below sea level

So, Option D is true

So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5  meters per second.

Answer:

72π

Step-by-step explanation:

To solve this, we just have to find the volume of the cylinder.

We know the formula for the volume of a cylinder is V=πr^2h as given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Answer:

The TV has a length of 61.01" and a height of 34.32"

Step-by-step explanation:

The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:

[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]

Since the ratio is 16:9, we have:

[tex]9*length = 16*height[/tex]

[tex]length = \frac{16}{9}*height[/tex]

Applying this on the first equation, we have:

[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]

[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]

The TV has a length of 61.01" and a height of 34.32"

Answer:

-4/3

Step-by-step explanation:

Answer:

The answers are in the pictures

Step-by-step explanation:

I can't type all of them 'cause it's much

Answer:

1. a. x= 18°

sum of interior angles is = 180°, so, to get x, = 2.5x + 4.5x + 3x = 180°

2.5x = 45

4.5x = 81

3x = 54

2. a. x = 75°

x - 10 = 65

x-35 = 40

x = 75

use the concept in number one.

3. a. x = 25

the  two opposite interior angles add up to the exterior angle . so,

4x + 55 = x + 130

like terms together then simplify to get x as 25

so 4x = 100°

x + 130 = 155°

4. ∠2 = 180 - (38+34) = 108°

∠5 = 180 - (38+74) = 68°

∠6 = 74 + 38 = 112°

hope you understand now.

Answer:

The midpoint is (5/2, -15/2)

Step-by-step explanation:

The x coordinate of the midpoint is the average of the x coordinates

(1+4)/2 = 5/2

The y coordinate of the midpoint is the average of the x coordinates

(1+-16)/2 = -15/2

The midpoint is (5/2, -15/2)