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3 years ago

5

Bryan started to evaluate a decimal expression. 2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2 2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2 What should B

ryan's next step look like?

2 answers:

Wittaler [7]3 years ago

8 0

Answer: 2.5 ( 16/3.2 - 2 + 3) - 5.2 will be Bryan's next step.

Step-by-step explanation:

Given expression, $2.5(4^2/3.2-10(0.2) + 3)-5.2$

Step 1 : $2.5(16/3.2-10(0.2) + 3)-5.2$

Since According to BODMAS during solving an expression we first solve the brackets this is why,

Step 2 : $2.5(16/3.2-2 + 3)-5.2$

Step 3 : $2.5(5 -2 + 3)-5.2$

Step 4 : $2.5\times 6-5.2$

Step 5 : $15-5.2$

Step 6 : 9.8

Citrus2011 [14]3 years ago

3 0

Answer:

2.5 (5-2+3) -5.2

Step-by-step explanation:

Correct on e2020

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Answer:

b . 6 is the length of the hypotenuse

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3 years ago

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ruslelena [56]

Answer:

4n^3-n^2-5n

Step-by-step explanation:

n(2n+4n2−5−3n)

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3 years ago

hich function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4

Brums [2.3K]

Answer:

$f(x)=-(x-4)^2+5$

Step-by-step explanation:

The function $f(x)=-(x-4)^2+5$ has the vertex at $(4,5)$ .

Since $a=-1\:$ , the graph of the function is a maximum graph.

The highest y-value is the y-coordinate of the vertex which is 5.

Therefore the range is { $y|y\le 5$ }

Therefore the correct answer is B.

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3 years ago

Which label on the cone below represents the height?<br> *<br> A<br> B<br> C<br> D

posledela

Answer:

The answer is B.

Step-by-step explanation:

Let us go through each of the points one by one:

The label A represents the radius of the base of the cone.

The label B represents the height of the cone.

The label C represents the origin of the base of the cone.

The label D represents the vertex of the cone (where the cone ends).

So it is choice B that represents the height of the cone.

<em>P.S: it is tempting to pick label D to represent the height, but since label A already points to a line that is the height of the cone, we don't pick Label D.</em>

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3 years ago

Read 2 more answers

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