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OLEGan [10]
3 years ago
9

A plane is 24,000 feet above sea

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0

Answer:

A. -500

Step-by-step explanation:

Find the slope using rise over run (change in y / change in x)

Find the change in the y values (height of the plane):

24,000 - 18,000

= 6,000

Find the change in the x values (miles from the airport)

(60 - 72)

= -12

Divide 6000 by -12:

6000/-12

= -500

So, the slope of the plane's path is A. -500

Nostrana [21]3 years ago
4 0

BAnswer: B

Step-by-step explanation:

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Solve for x. 5^11x=25^x+9
4vir4ik [10]
   
\displaystyle\\
5^{11x}=25^{x+9}\\\\
5^{11x}=\Big(5^2\Big)^{x+9}\\\\
5^{11x}=5^{2(x+9)}\\\\
11x = 2(x+9)\\\\
11x = 2x+18\\\\
11x - 2x = 18\\\\
9x = 18\\\\
x =  \frac{18}{9} = \boxed{2}



6 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

V = \frac{4}{3}\pi r^3

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309
fenix001 [56]

Answer:

Hey!

0.309<0.32<0.35<0.4

hope this helps you

6 0
3 years ago
Which number is greater than the absolute value of -3/8?<br><br> -5/8<br> -1/8<br> 1/4<br> 0.5
erica [24]
-3/8 = -0.375

-5/8 = -0.625
-1/8 = -0.125
1/4 = 0.25
<span>0.5 = 0.5
</span>
Therefore 1/4 & 0.5 & -1/8 > -3/8

5 0
3 years ago
Read 2 more answers
Pls answer this i need help
Vitek1552 [10]

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

6 0
3 years ago
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