<img src="https://tex.z-dn.net/?f=%20%7B14x%7D%5E%7B4%7D%20%20%7By%7D%5E%7B7%7D%20%20%5Cdiv%20%20%7B6x%7D%5E%7B5%7D%20%20%7By%7D

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3 years ago

%5E%7B4%7D%20" id="TexFormula1" title=" {14x}^{4} {y}^{7} \div {6x}^{5} {y}^{4} " alt=" {14x}^{4} {y}^{7} \div {6x}^{5} {y}^{4} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

$\dfrac{ {14x}^{4} {y}^{7} }{ {6x}^{5} {y}^{4} } = \dfrac{ {7y}^{3} }{3x} = 3 \dfrac{ {y}^{3} }{3x}$

Hope this helps. - M

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-8(1 + 5b) – 2(86 – 1) = 50

kati45 [8]

Answer:

b = -57/10

Step-by-step explanation:

Let's first distribute everything out:

-8(1 + 5b) = -8 * 1 + (-8) * 5b = -8 - 40b

2(86 - 1) = 2 * 85 = 170

So, we have:

-8 - 40b - 170 = 50

-40b - 178 = 50

-40b = 50 + 178 = 228

b = -228/40 = -57/10

Thus, the answer is b = -57/10.

Hope this helps!

3 0

4 years ago

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?

olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

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h = √1144 inches = 12 inches

The volume of the cone is;

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3 years ago

Find the slope of the line (4,5),(-3,-1)

koban [17]

Step-by-step explanation:

${ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\$

• y2 → -1

• y1 → 5

• x1 → 4

• x2 → -3

${ \tt{slope = \frac{ - 1 - 5}{ - 3 - 4} }} \\ \\ { \tt{slope = \frac{ - 6}{ - 7} }} \\ \\ { \boxed{ \tt{ \: slope = \frac{6}{7} }}}$

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3 years ago

A florist arranges 4 flower arrangements in 92 minutes.

Black_prince [1.1K]

Answer:

$\boxed {\boxed {\sf 9 \ arrangements }}$

Step-by-step explanation:

Let's set up a proportion using the following setup:

$\frac{arrangements}{minutes} =\frac{arrangements}{minutes}$

We know that the florist can arrange 4 in 92 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}$

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}$

$\frac{4}{92} =\frac{x}{207}$

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

$207*\frac{4}{92}=\frac{x}{207}*207$

$207*\frac{4}{92}=x$

$207*0.0434782609=x$

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The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0

3 years ago

Please help me answer this

Ronch [10]

Answer:

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Step-by-step explanation:

by using Pythagoras theorem we can find the distance between the points,

so...

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difference between the x coordinates will be dx

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3 years ago