A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

Learn more about rational expression on:

brainly.com/question/29061047

#SPJ1

Answer:

B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

Step-by-step explanation:

Got it right on the quiz

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)

Read more about probability at:

https://brainly.com/question/24756209

#SPJ9

Answer:

Juan earns 10 dollars a week at his job

Step-by-step explanation:

Answer:

y = 3x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 and c = 8 , thus

y = 3x + 8 ← equation of line

The amount of their deposit will be $981.75

Sum refers to the addition of two or more numbers.

The amount of their deposit will be the sum of no cashback deposit and the checks.

This means that the amount of their deposit will be 25 twenties + 19 tens + 28 fives + 18 ones + 15 quarters + $25 + $20 + $85.

By Solving it, we will get

[tex](25\times 20)+(19\times 10)+(28\times 5)+(18\times 1)+(15\times \dfrac{1}{4})+25+20+85=500+190+140+18+3.75+25+20+85\\=981.75[/tex]

So, the amount of their deposit will be $981.75.

Learn more about 'sum' here- https://brainly.com/question/4694239

#SPJ2

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

Answer:

f(-2) = -1

Step-by-step explanation:

Look at x = -2 and find the value of y.

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

Pretty sure its 500000 milliliters.

hope this helps

Answer:

500,000 liters

Step-by-step explanation:

mulitply the volume of the liters value by 1000

Answer:

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

As the highest power of the x-variable is 3 with the leading coefficients of 1.

solving to get the zeros

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

[tex]0=x^3-6x^2+3x+10[/tex]              ∵  [tex]f(x)=0[/tex]

as

[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]

so

[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]    

Using the zero factor principle

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]

[tex]x=-1,\:x=2,\:x=5[/tex]

Therefore, the zeros of the function are:

[tex]x=-1,\:x=2,\:x=5[/tex]

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

Answer:

jdjndbncjjsnnxjjxjnxjnsnnx.

Answer:

1/2(x+10)

Step-by-step explanation:

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

Answer:

Answer: $109.99

Step-by-step explanation:

The total amount saved, $96.16, should be divided by the number of tires, 4. The answer is $24.04. Add $24.04 to the price of a single tire, $85.95, and the answer is $109.99, the original price of one tire.

Answer:

88 hours

Step-by-step explanation:

Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4

Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours

So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4

Answer:

A. y = [tex]\frac{2}{5}[/tex]x + 1

Step-by-step explanation:

A linear function is a function that has an exponential value of zero or one and that, when graphed, is a straight line. The only equation that fits this description is answer choice A. We can also use the process of elimination to figure out which answer choice is correct.

A: A is the correct answer because it has an exponential value of one, meaning that it will be a straight line.

B: B is incorrect because the x has an exponential value of 2, which tells us that the equation is quadratic, not linear. If you were to graph this equation, it would look like a parabola, not a straight line.

C: C is incorrect for the same reason as answer choice B, the exponential value of this equation is more than one, meaning that the equation can't be linear.

D: D is incorrect because it contains a radical [tex]\sqrt{x}[/tex]. When [tex]\sqrt{x}[/tex] is graphed, it looks like half of a parabola, which isn't a straight line.

Answer:

D: 3x – 5 and 2x + 4y = 8

Step-by-step explanation:

I used desmos calculator

Answer:

60 t-shirts

Step-by-step explanation:

48 divided by 4/5

= 60

Answer:

Do what the 6th grader said

Step-by-step explanation:

They smart

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Answer:

Y=15

Step-by-step explanation:

2(4)+7

8+7

15

Answer:

Y=15

Step-by-step explanation:

Answer:

2 exponent is 5

Step-by-step explanation:

       5                                  

so 2

Answer:

15%

75-60= 15

hope this helps

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Answer:

Step-by-step explanation:

I can't read this well. Is it  (x-y)^2+ (x^2+2+y^2)?

Answer:

Step-by-step explanation:

[tex](x - y) ^{2}[/tex] + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])

(x - y) (x - y) + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] - xy -xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

[tex]x^{2}[/tex] + [tex]y^{2}[/tex]  + [tex]x^{2}[/tex]  + [tex]y^{2}[/tex]

[tex]2x^{2}[/tex] + [tex]2y^{2}[/tex]

2([tex]x^{2}[/tex] + [tex]y^{2}[/tex] )

hope this helps!

Answer:

$11.25

Step-by-step explanation:

Answer:

$11.25

Step-by-step explanation:

Divide $101.25 by 9

11.25

So $11.25 were earned each hour.

Hope this helps :)

Please consider Brainliest :)

Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2