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3 years ago

(11 + 3x ^ 3) + (4x ^ 2 - 2) + 3x

1 answer:

7 0

Combine like terms: 11 + 3x^3 + 4x^2 + -2 + 3x
(3x^3) + (4x^2) + (3x) + (11 + -2)

= 3x^3 + 4x^2 + 3x + 9. which is the answer :)

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What is the domain and range ?

katrin [286]

Domain is the set of first numbers of the order pairs.

Range is the set of second numbers of the ordered pairs.

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3 years ago

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245,600,000,000 in scientific notation

vekshin1

Answer:

2.456 x 10^11

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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3 years ago

If x = –3, then x2 – 2x + 1 = ?

alukav5142 [94]

Since I just realized that you meant x^2-2x+1, let me evaluate this step by step:

x^2-2x+1
((-3)^2)-(2(-3))+1
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Therefore, that would equal 16.

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3 years ago

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An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of

Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = $\pi r^{2} \frac{h}{3}$

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

$r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm$

We will now find the volume of the cone.

Volume of cone $\pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}$

We know the density of ice is 0.93 grams per $1cm^{3}$

$1cm^{3} =0.93g\\\frac{168175\pi }{24} cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g$ (Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = $\pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}$

Volume of cone being melted = New Volume - Original volume

= $\frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}$

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = $\pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}$

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = $5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}$

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= $\frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}$

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

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2 years ago

11) Solve the multiplication equation. Check your answer.<br> 39 = 13y what does y equal?

denis-greek [22]

Answer:

y = 3

Step-by-step explanation:

39 = 13y

y = 3 (explanation: by dividing 13)

Check answer:

39 = 13(3)

39 = 39

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3 years ago

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