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3 years ago

Which polynomial is prime?

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

8 0

Answer:

Your answer should be D. 4^x4 + 2x^3 –2x + 4

Step-by-step explanation:

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Y varies directly with x. If x=6 when y=30, determine y when x=8.

kondaur [170]

Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.

6:30 = 8:40

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

5 0

3 years ago

Read 2 more answers

Saleh is delivering newspapers for his part-time job. He needs to deliver 30 newspapers and has distributed 10 so far.

Nikolay [14]

He has delivered 33.3% of his papers. Think of it as a fraction 10/30. Now 100% is 30 papers. 1/3 of that, which is our fraction reduced, is where you get 33.3%. If you divide 100 into thirds (100/3), you get the percent.

3 0

3 years ago

The drama club needs a plywood box with these dimensions: 70 cm by 40 cm by 50 cm

jeka94

140,000 cm³ of plywood is needed to make the prop.

Explanation:

The dimensions of the required box are 70cm × 40cm × 50cm.

So we take the length equals 70cm, the width is equal to 40cm and the height is 50cm. The volume of this box is calculated by multiplying the given box's length, its width, and its height. The question does not provide which measurement is which but ultimately the volume will be equal no matter what the case.

Volume of box = Length × Width × Height = 70cm × 40cm × 50cm = 140,000 cm³.

So 140,000 cm³ of plywood is needed to make the prop in the play

6 0

3 years ago

I need help with this

morpeh [17]

each pumpkin costs $10.50

63/6 = 10.5 or $10.50 and $10.50 x 2 = $21

that's all I got sorry ~(>_<。)＼

3 0

3 years ago

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.

4 0

2 years ago