a
An aircraft has just taken off from an airport, the
Formula for it heights above the ground (hm) after it has
travelled d m horizontally is h= 3/8(d-480), make d the subject of the formala.
Use your result to find d when h= 500m.

Answer:

h(2) =0

h(-2) =4

h(0) = 2

h(2) = 0

Step-by-step explanation:

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

h(-2) = 2^-2 -3(-2) +2 = -4+ 6+2=4

h(0) =0^2 - 3(0)+2 = 0-0 +2 = 2

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

Answer:

compound and elements

Step-by-step explanation:

a single atom is known as an element

a compound is two elements bonded together.

the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds

Answer:x=1

Step-by-step explanation: 3x+2x=-2x+5+2x

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]8^{-2}*a^7=\frac{a^7}{8^2} =\frac{a^7}{64}[/tex]

Hope that helps!

Answer: 48 arrangements

Step-by-step explanation:

Total persons = 5

Total seats = 5

Total arrangements

= 2 * 4!

= 2 * (4 * 3 * 2)

= 2 * 24

= 48

AB is the diameter of the circle

Answer:

a)[tex]-\frac{1}{12}[/tex]

d)[tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

a) Find a common denominator. 12 (3 × 4 = 12)

Convert the fractions to have a denominator of 12.

[tex]\frac{2}{3}[/tex] → [tex]\frac{8}{12}[/tex]

[tex]\frac{3}{4}[/tex] → [tex]\frac{9}{12}[/tex]

[tex]\frac{8}{12}[/tex]- [tex]\frac{9}{12}[/tex] = [tex]-\frac{1}{12}[/tex]

d) Find a common denominator. 8 (4 × 2 = 8; 8 × 1 = 8)

Convert the fractions to have a denominator of 8.

[tex]\frac{3}{4}[/tex] → [tex]\frac{6}{8}[/tex]

[tex]\frac{5}{8}[/tex] → [tex]\frac{5}{8}[/tex]

- [tex]\frac{6}{8}[/tex] - (-[tex]\frac{5}{8}[/tex])=?

Remember, 2 subtractions signs cancel each other out.

- [tex]\frac{6}{8}[/tex] + [tex]\frac{5}{8}[/tex] = [tex]-\frac{1}{8}[/tex]

Answer:

434

Step-by-step explanation:

29-20=9

20-11=9

9*47=423

423+11=434

Answer:

Step-by-step explanation:

First, let's find the surface area of both the triangles

5x3=15

So, the surface area of the triangles is 15 sq.cm

Now, let's find the surface area of the base (large rectangle in the middle)

12x8=?

10x8=80

2x8=16

80+16=96

12x8=96

So, the surface area of the base, is 96sq.cm

Now, let's find the surface area of both of the side rectangles

12x5=60

60x2=120

So, the surface area of the two side rectangles is 120sq.cm

Now, let's find the total surface area by adding all of our answers.

120+96=216

216+15=231

Answer:

above is the solution to the question

Answer:

his neighbors

Step-by-step explanation:

there are 48 hours in 2 days, which means that his neighbors power was out longer.

Answer:

317.5144mg

Step-by-step explanation:

50 lb=22.6796 kg

22.6796*14=317.5144

Answer:

1. a^2 + b^2= c^2

2. 15      9^2+12^2 = c^2    

3. 4        3^2 +b^2=5^2

4. 24km     6^2+8^2 = c^2       c = 10      6+8+10 = 24

5. √(x2-x1)^2 + (y2-y1)^2

6.√34               (1,0)      (6,3)         √(6-1)^2+(0-3)^2

                       x1, y1     x2, y2

Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

Answer:

30%

Step-by-step explanation:

% of change = 100 x (6.5-5)/  | 5 |

Answer:

the range is {7,5,1}

Step-by-step explanation:

To find the range, just plug in the domain into the function.

f(-1) = -2(-1) + 5 = 7

f (0) = -2(0) + 5 = 5

f(2) = -2(2) + 5 = 1

Answer:

Part A= 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Explanation:

manipulate sides by changing division to multiplication and solve, simplify.

solving steps:

(a)

[tex]\sf \dfrac{4}{7} \div \dfrac{5}{6}[/tex]

[tex]\sf \dfrac{4}{7} * \dfrac{6}{5}[/tex]

[tex]\sf \dfrac{24}{35}[/tex]

(b)

[tex]\sf \dfrac{3}{5} \div \dfrac{4}{5}[/tex]

[tex]\sf \dfrac{3}{5} * \dfrac{5}{4}[/tex]

[tex]\sf \dfrac{3}{4}[/tex]

(c)

[tex]\sf \dfrac{5}{8} \div \dfrac{7}{8}[/tex]

[tex]\sf \dfrac{5}{8} * \dfrac{8}{7}[/tex]

[tex]\sf \dfrac{5}{7}[/tex]

(d)

[tex]\sf \dfrac{7}{18} \div \dfrac{4}{9}[/tex]

[tex]\sf \dfrac{7}{18} * \dfrac{9}{4}[/tex]

[tex]\sf \dfrac{7}{2} * \dfrac{1}{4}[/tex]

[tex]\sf \dfrac{7}{8}[/tex]

Answer:

Ok, here goes:  f(3) means take f(x) and plug in 3 wherever we see x.  So

f(3) = 12*39 + 3 = 236196 + 3

f(3) = 236199

Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x.  So

f(-3) = 12*(-3)9 + (-3) = -236196 - 3

f(-3) = -236199

Putting those two things together, we get

f(3) + f(-3) = 236199 - 236199 = 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

basically plug a and b back into the equation so (0)÷(48) will equal 0 which is equal to C because 0 out of any number is always equal 0 because you're not taking taking any value out of it

Answer:

Step-by-step explanation:

zero is always a nasty piece of work. You need to be careful how you handle it.  What do you get when you divide 0 by 48?

Answer, you don't get anything because no matter if b is 1 or 48, you get 0 as the result.

Answer: B

Answer:

2x

Step-by-step explanation:

As the question says that the students sold twice the cookies on the second day ans the expression for the first day is 'x' so the expression for second day is 2*x='2x'

Answer:

1,824.34

Solving steps:

=> A=3.14(R² -r²)

=> 3.14(45² - 38²)

=> 3.14(2025 - 1444)

=> 3.14(581)

=> 1,824.34

Answer:

The answer is f^-1(x)=0^3[tex]\sqrt{x}[/tex]+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation