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Answer: The rate of change is 5.

Step-by-step explanation:

Our equation is:

f(x) = x^2 + 4x + 5

And we want to find the rate of change in the range −1≤ x ≤2

when we want to find the rate between x1 ≤ x ≤ x2

we have:

Rate = (f(x2) - f(x1))/(x2 - x1)

So we have:

Rate = ( f(2) - f(-1))/(2 - 1)

Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5

The rate of change is 5.

Answer:

Step-by-step explanation:

1, sec theta  * sin theta = 1/cos * sin = sin/cos =tan theta

2. cosec theta * cos theta = 1/ sin * cos = cos/sin = cot theta

3, tan theta * cosec theta =sin/cos * 1/sin = 1/cos

4, cot theta * sec theta = cos /sin * 1/cos= 1/sin

5, 1 - cos^2 theta = sin ^2 theta

6, sec^2 theta - 1 =tan ^2 theta

7 , cosec^2 theta - cot^2 theta = 1

8, 1 - sin^2 theta = cos^2

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Answer:

Angle y measures 130 degrees

Step-by-step explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

[tex]2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o[/tex]

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle = [tex]2\,(16^o)+18^o=50^o[/tex]

Now, if these two angles measure [tex]50^o[/tex], then angle "y" (which is the supplementary angle (angle which added renders [tex]180^o[/tex] )  for them, must equal [tex]180^o-50^o=130^o[/tex]

Answer:

It's C. 130

Step-by-step explanation:

O just did the math and got it right on the test.

Answer:

A ≈ 21.16m²

Step-by-step explanation:

Answer:

21.16 m^2

Step-by-step explanation:

If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.

Then the area of the square is (4.6 m)^2, or 21.16 m^2

Answer: 3.5

Step-by-step explanation:

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

Answer:

None

Step-by-step explanation:

In this case we must pass everything to the same unit of measure, we know that the total is 5 liters of soft drink and that each plastic cup has a capacity of 250 cubic meters.

We know that 1 liter is equivalent to 0.001 cubic meters, therefore we will pass the cubic meters of the plastic cup to liters, like this:

250 m ^ 3 * 1 L / 0.001 m ^ 3 = 250,000 L

Therefore we realize that the glass has a very large capacity, which suggests that there is an error in the statement, maybe it is not a cubic meter but a cubic centimeter, but as it is, it cannot serve any plastic cup because the capacity of this cup is very large with respect to the total amount of soft drink.

Answer:

surface area of cylinder= 2πrh + 2πr²

2×22/7×1×8+2×22/7×1×1

352. + 44

7. 7

= 50.3 + 6.25

= 56.55cm²

Answer:

y = -1/3x - 11/3

Step-by-step explanation:

line a: y = -1/3x - 5

3 = -1/3(2) - b

3 = -2/3 - b

3 + 2/3 = b

3/1 + 2/3 = b

9/3 + 2/3 = b

11/3 = b

Answer:

38.25 square inches

Step-by-step explanation:

Length = 9 inches

width = 4.5 inches

Area of Rectangle = Length × width

Area of Rectangle = 9 × 4.5 = 38.25

Answer:

2.1 s

Step-by-step explanation:

1. Write the equation

The formula for vertical displacement is

y =  h + v₀t - ½gt²

h = 50     ft

v₀ = 10     ft/s

g = 32.2 ft/s²

Insert the values

y = 50 + 10t - ½ × 32.2t²

y = 50 + 10t - 16.1t²

The graph below shows the height as a function of time.

2. Solve the equation

a = -16.1; b = 10; c = 50

[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]

[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]

Answer:

1/24

Step-by-step explanation:

In order to find the probability of a compound event, you have to multiply the probability of each event occurring together.

The probability of choosing a female is 1/2. There are only 2 genders.

The probability of choosing long hair is 1/3. There are three different lengths of hair to choose from.

The probability of choosing red hair is 1/4. There are four different hair colors to choose from!

Multiply all these probabilities:

1/2 * 1/3 * 1/4

= 1/24

Answer:

(4, -4)

Step-by-step explanation:

Since the point (4, -4) rests on the line y=-x, it does not change positions and stays in the same spot.

Answer:

The answer would be 116

Step-by-step explanation:

The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116

Answer:

Y =116

Step-by-step explanation:

We know that angle Z = angle X since they are base angles  and  the sides are the same length

The sum of the angles of a triangle are 180

X+Y+Z = 180

32+ Y + 32 = 180

64+Y=180

Y = 180-64

Y =116

Answer:

-42.86%

Step-by-step explanation:

Mathematically, the percentage change is;

(new value -old value)/old value * 100%

According to this question

new value = 63

old value = 90

Inputing these values we have ;

(63-90)/63 * 100

-27/63 * 100%

= -3/7 * 100% = -42.86 #

Answer:

-3/2

Step-by-step explanation:

pick any 2 points on the graph. I chose (80,10) and (60, 40) because they are easy to identify.

40- 10 = 30

60-80 = -20

slope = -30/20 or -3.2

The airplane's path is an illustration of right-triangles

Represent the angle of descent with [tex]\theta[/tex]

The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity

[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]

Convert feet to miles

[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]

Divide

[tex]\tan(\theta) = 0.0442[/tex]

Take the arc tan of both sides

[tex]\theta = \tan^{-1}(0.0442)[/tex]

Evaluate the arc tan

[tex]\theta = 2.5[/tex]

Hence, the angle of descent is 2.5 degrees

Represent the plane's path with p

The plane's path is calculated using the following Pythagoras theorem

[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]

Convert feet to miles

[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]

Evaluate

[tex]p^2 = 22543.940829[/tex]

Take the square roots

[tex]p = 150.15[/tex]

Hence, the plane's path is 150.15 miles

Read more about right-triangles at:

https://brainly.com/question/2437195

Answer:

8+92=100

Step-by-step explanation:

You can get that by subtracting 8 from 100 :)

Answer:

if the number ur adding it to is 991 and u add 8 you will get 1,000

Step-by-step explanation:

Answer:

y = -22/5

Step-by-step explanation:

-3+7y=5x+2y

Subtract 2y from each side

-3+7y-2y=5x+2y-2y

-3 +5y = 5x

Add 5 to each side

5y = 5x+3

Divide each side by 5

y = 5x/5 +3/5

y = x +3/5

Let x = -5

y = -5 + 3/5

y = -25/5 +3/5

y = -22/5

Answer:

[tex]y=-\frac{22}{5}[/tex]

Step-by-step explanation:

[tex]-3+7y=5x+2y\\x=-5[/tex]

Replace:

[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]

Subtract -2y

[tex]-3+7y-2y=-25[/tex]

Add 3

[tex]7y-2y=-25+3[/tex]

Combine like terms;

[tex]5y=-22[/tex]

Divide by 5.

[tex]y=-\frac{22}{5}[/tex]

Proof

[tex]For x=-5, y=-\frac{22}{5}[/tex]

[tex]-3+7y=5x+2y[/tex]

[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]

[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]

To make it easier to solve, add 154/5

[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]

Now add 25

[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]

Combine like terms;

[tex]22=\frac{110}{5} \\22=22[/tex]

The answer is 10√2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

BA RB SC T

Step-by-step explanation:

Answer:

The answer is T

Answer:

hypotenuse= 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

[tex]\sqrt{5^{2} +5^{2} }[/tex] = 2[tex]\sqrt{5}[/tex]

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

Answer:

1. integers

2. rational no.

Answer:

Step-by-step explanation:

let the length of shortest side be x

and length of  second side be 2x

and third side be x+17

given , perimeter = 173 feet

therefore , x+2x+x+17 =173

4x =173-17

4x =156

x = 156/4

x = 39

therefore ,

length of :

shortest side = 39 feet

second side =78 feet

third side =56 feet

hope it helps.. please mark me as the brainliest...

Answer:

6.5%

Step-by-step explanation:

15.40 * 5 = 77

77 is in the 6.5% range.

Answer:

  Correct. He transformed the triangle according to the rule (x, y) → (–y, x)

Step-by-step explanation:

Given

  F(3, 2), H(4, 5), G 1, 2)

  F'(-2, 3), H'(-5, 4), G'(-2, 1)

Find

  Whether the triangle was correctly transformed using the rule ...

  (x, y) → (–y, x).

Solution

For point F, we have ...

  x = 3

  y = 2

Then the rule tells us the point F' should be ...

  F' = (-y, x) = (-2, 3)

This is the point Quinton found for F', so his transformation was correct. (We can similarly verify that H' and G' are also correct.)

Answer:

The answer is A. Correct. He transformed the triangle according to the rule (x, y) → (–y, x).

Step-by-step explanation:

Answer:

15 out of 100

Step-by-step explanation:

15 %= 15/100  it means 15 out of 100

Answer:

10

Step-by-step explanation: