MATHEMATICS HIGH SCHOOL

How do you write fourteen and seven tenths squared in all three forms?

Answers

Answer 1

Answer:

The 3 forms of expressing fourteen and seven tenths squared are;

(14⁷/₁₀)²; (147/10)²; (14.7)²

How to express fractions in decimal form

We want to express 14 and 7/10 all squared in all three forms.

The first form is in mixed fraction which is;

(14⁷/₁₀)²

Second form is in improper fraction form which is;

(147/10)²

Third form is in decimal form which is; (14.7)²

Read more about fractions to decimal form at; brainly.com/question/293712

Answer 2

Answer: 14.7 squared
14 7/10 squared
14.7 × 14.7

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The length and width of a rectangle have a sum of 90. What dimensions give the maximum area?

Answers

$w-width\nl-length\n\n2w+2l=90\n2l=90-2w\ \ \ \ /:2\nl=45-w\n\nA=wl\to A=w(45-w)=45w-w^2$

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2( l + w) = 90, where l, w are dimensions of the rectangle => l + w = 45;
The maximum area is obtain when l = w;
Then l = w = 45/2 = 22.5

Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.

Answers

Answer:

case 1

3x-7y=9

-4x+5y=1

using a graph tool

the solution is the point (-4,-3)------------------> one solution

case 2

y=6x-2

y=6x-4

two parallel lines

the system has no solution---------------> zero solution

case 3

-5x+y=10

-25x+5y=50

is the same line----------------> infinite solutions

Answer:

work is shown and pictured

How can I do this exercice (n+1)!/(n+2)! ?

Answers

(n+1)! is equal to (n+1)*n*(n-1)*(n-2)...*3*2*1. Basically, it multiplies together every positive integer that is at most n+1. This is the definition of the !, or the factorial function.

(n+2)! is equal to (n+2)*(n+1)*n*(n-1)*(n-2)...*3*2*1, using the same definition. This thus is equal to (n+1)!*(n+2), so we have:

(n+1)!/(n+1)!(n+2), or:

1/(n+2)

This is our final simplification.

The perfect squares between 20 and 61

Answers

by-step explanation:

a boat cost 12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years

Answers

Given:
Cost = 12,050
depreciation rate = 12%

year beginning value dep.rate depreciation ending value
1   12,050.00 12% 1,446.00    10,604.00
2   10,604.00 12% 1,272.48      9,331.52
3   9,331.52   12% 1,119.78      8,211.74
4   8,211.74   12%   985.41      7,226.33
5   7,226.33   12%   867.16      6,359.17
6   6,359.17   12%   763.10      5,596.07
7   5,596.07   12% 671.53      4,924.54
8   4,924.54   12%   590.94      4,333.60
9   4,333.60   12%   520.03      3,813.56

The boat will be worth $3,813.56 after 9 years.

Depreciation = beginning cost x depreciation rate
Ending cost = beginning cost - depreciation

Depreciation is the wear and tear of an object that decreases its value.

Anyone who really good in math please help me 1. A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it.

What is the volume of the hard shell?
Use 3.14 to approximate pi and round the answer to two decimal places.

_______mm3

2.Which container holds the most?

A.
cylinder with radius 8 in. and height 10 in.

B.
sphere with radius 7 in.

C.
cone with radius 10 in. and height 20 in.

3.What is the volume of a cone that has a radius of 4 cm and a height of 9 cm? Use 3.14 to approximate pi and round the answer to two decimal places if necessary.
_______cm3

Answers

A] First you want to work out the volume of both the total candy and the soft shell. The formula for the volume of a sphere is πr cubed x 4/3. The candy has a 9mm radius, so let's substitute that into the equation. π x 9 cubed x 4/3. Nine cubed is, of course, 729, so the volume for the candy is 3052.08mm squared.

Next, the volume of the soft shell. Repeat the earlier steps with the radius of 6mm ( π x 6 cubed x 4/3 ) and you get 904.32mm. Now you substitute that from the total volume:3052.08-904.32=2147.76mm cubed *units are important*

B] A cylinder is a prism, so first work out the face and multiply by its depth for the area. Area of a circle = πr squared so 3.14 x 64 = 200.97 multiplied by 10 gives you 2009.7 inches cubed.I've already given the steps to working out a spheres volume : 1436.03 cubed inches.
Formula for the volume of a cone: 1/3 x area of base x heightCircle base = 314 inches. Volume of cone = 2093.34 cubed inchesThe answer = the cone aka C.

3] area of a cone is 1/3 x area of base x heightArea of circular base = pi x radius squared = 3.14 x 16 = 50.241/3 x 50.24 x 9 = 150.72cm cubed.Sorry if this doesn't have proper paragraphs, I've been using the mobile website via tablet, hope I helped.

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