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Delicious77 [7]
3 years ago
15

Brainly the polynomial x 3 + 5x 2 - ­57x -­ 4189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3

) in. if the width of the box is 15 in., what are the other two dimensions? ( hint: the height is greater than the depth.)
Mathematics
1 answer:
Simora [160]3 years ago
8 0
Height would be 21 inches, depth would be 5. 
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Solve the equation below:<br><br> ln x- ln 5= -1
Anastaziya [24]

Answer:

x = 5/e

Step-by-step explanation:

ln x- ln 5= -1

We know that ln a - ln b = ln (a/b)

ln x- ln 5= -1

ln(x/5) = -1

Raise each side to the power of e

e^ ln(x/5) = e^-1

We know that e^-1 = 1/e

x/5 = 1/e

Multiply each side by 5

x/5 *5 = 1/e * 5

x = 5/e

4 0
3 years ago
What is the equation of a line that passes through the points (3,6) and (8,4)?
Semmy [17]

Answer:

= x-

27

y-x-2

y=-3x-24

y=-x+

36

5

Step-by-step explanation:

3 0
3 years ago
Using property find <br>a.3/5×-2/7+4/5-3/10×2/7​
Sedaia [141]

Here the answer is 19/35

Step-by-step explanation:

\frac{3}{5} X\frac{-2}{7} +\frac{4}{5}-\frac{3}{10} X\frac{2}{7}

We will apply BODMAS rule

In this rule multiplication comes before add and subtraction

= \frac{-6}{35} + \frac{4}{5} - \frac{3}{35}

= \frac{4}{5} - ( \frac{6}{35}+ \frac{3}{35})

= \frac{4}{5} -  \frac{9}{35}

= \frac{4 X 7}{5 X 7} -\frac{9}{35}

= \frac{28}{35} - \frac{9}{35}

= \frac{19}{35}

5 0
3 years ago
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
What is x in this equation −4.5= −0.5(x − 7.1)
Umnica [9.8K]

Answer:

x=16.1

Step-by-step explanation:

-4.5= -0.5(x -7.1)

Divide both sides by -0.5

9=x-7.1

Add 7.1 to both sides

16.1=x

Hope this helps!

7 0
3 years ago
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