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3 years ago

Can anyone plz help me with these two questions

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

Answer:

6 and 7

Step-by-step explanation:

6) x^5y^7 / x^2y^3

= x^(5-2) * y^(7-3)

= x^3y^4

7) $\sqrt[3]{300}$

= 6.69432..

OR you can try 6^3 and 7^3 values

216 343

as 300 is between 216 and 343

so \sqrt[3]{300} is between 6 and 7

so it is between 6 and 7

taurus [48]3 years ago

5 0

Answer:

Question 6 answer is: C and Question 7 answer is: A

Step-by-step explanation:

It's simple to divide for Question 6 because you just have to show the difference between the exponents. 5 - 2 = 3 and 7 - 3 = 4 so choice C is the best answer.

For question seven, the radical index is 3 so rewrite the equation as 300^(1/3). The answer will be around 6.69 which is between 6 and 7 so the answer is A.

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What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10

lana [24]

Answer:

<em>2,300,000pages report.</em>

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x = 4.6*10⁶

x = 4.6*10⁶/2

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4 0

3 years ago

What is Factorise 5x+20

Stolb23 [73]

5x + 20
5(x) + 5(4)
5(x + 4)

8 0

3 years ago

Read 2 more answers

Paul baked 208 brown loaves. if the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total

navik [9.2K]

Answer:

520 loaves

Step-by-step explanation:

First, let's find how many white loaves he baked.

Let's make a proportion.

white loaves/brown loaves= white loaves/brown loaves

He baked 3 white loaves for every 2 brown loaves. He baked x white loaves for 208 brown loaves.

3/2=x/208

Now, we have to solve for x. To do this, we have to get x by itself. x is being divided by 208. To reverse this, multiply both sides by 208

208*3/2=x/208*208

208*3/2=x

312=x

He baked 312 white loaves.

Now, we have to find the total number of loaves he baked.

To do this, add the brown loaves and the white loaves.

brown loaves+white loaves

He baked 208 brown loaves and 312 white loaves

208+312

520

He baked 520 loaves in total

5 0

3 years ago

The temperature in Fairfax was 2 degrees Fahrenheit. In Oakland, the temperature was 75 degrees Fahrenheit higher than in Fairfa

DedPeter [7]

The answer is 77 because 2 + 75 = 77

6 0

3 years ago

Read 2 more answers

Kindly i need solution of these both parts a and b which are attached below

Nikitich [7]

9514 1404 393

Answer:

a) 252 cm³, 252 cm², 705.6 g

b) 240 cm³, 252 cm², 672 g

Step-by-step explanation:

The volume of each figure can be computed as the product of the base area (the side facing the viewer) and the "height" of the prism (the distance between bases).

The surface area of the prism is the sum of the two base areas and the "lateral area" consisting of the product of the base perimeter and the "height" of the prism.

The mass will be the product of volume and density.

ai) The base is a 3 cm by 8 cm rectangle together with a trapezoid with bases 3 cm and 6 cm, and height 7 - 3 = 4 cm.

B = (3 cm)(8 cm) +(1/2)(3 cm +6 cm)(4 cm) = 24 cm² +18 cm² = 42 cm²

The "height" is 6 cm, so the volume is ...

V = Bh = (42 cm²)(6 cm) = 252 cm³

aii) The perimeter of the base is the sum of its side lengths. Clockwise from left, the lengths are ...

(8 +3 +2 +5 +3 +7) cm = 28 cm

Then the lateral area is ...

LA = Ph = (28 cm)(6 cm) = 168 cm²

Adding this to the areas of the two bases, we get the total surface area:

A = LA +2B = (168 cm²) + 2(42 cm²) = 252 cm²

aiii) The mass is the product of volume and density:

M = ρV = (2.8 g/cm³)(252 cm³) = 705.6 g

____

bi) This trapezoidal prism has a base that has bases of 6 and 9 cm, and a height of 4 cm. The area of the base is ...

B = (1/2)(b1 +b2)h = (1/2)(6 cm + 9cm)(4 cm) = 30 cm²

Then the volume is ...

V = Bh = (30 cm²)(8 cm) = 240 cm³

bii) The lateral area is the perimeter of the base times the height of the prism:

LA = Ph = (4 +6 +5 +9 cm)(8 cm) = 192 cm²

The total area is this area plus that of the two bases:

A = LA +2B = (192 cm²) +2(30 cm²) = 252 cm²

biii) M = ρV = (2.8 g/cm³)(240 cm³) = 672 g

3 0

3 years ago