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2 years ago

The graph of a function is given.

Mathematics

1 answer:

Ber [7]2 years ago

7 0

The function is nonlinear because it does not have a constant rate of change

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There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i

iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0

3 years ago

I need help with this someone please help

choli [55]

Answer:

0,-2,-8,-36

Step-by-step explanation:

6 0

3 years ago

A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?

Nostrana [21]

Answer:

Step-by-step explanation:

38/24=19/12

6 0

2 years ago

Read 2 more answers

Pls help me w thissssss

likoan [24]

In this problem, we need to use multiplication and subtraction method to solve it.

_________________________________

x(y) means to multiply x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = 28

Then, we need to subtract {b = 6} from 28, we get:

28 – 6 = 22

Finally, this simplifies as:

4(7) – 6 = 22

Hope this helps :)

5 0

1 year ago

Which is the last sentence of the proof? because f + e = 1, a2 + b2 = c2. Because f + e = c, a2 + b2 = c2. Because a2 + b2 = c2,

lyudmila [28]

The latest sentence of proof by using the triangle congruence method we can conclude that f+e=c, $a^{2} + b^{2} = c^{2}$ .

Given that ΔABC and ΔCBD are right triangles

Therefore, one angle of both triangle is of 90°

So, ∠B is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.

Consequently, ∠A is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.

Similarly, When two triangles are similar then their corresponding angles are equal and their corresponding sides are also equal.

Therefore , the two proportions can be rewritten as

a² = cf ( equation 1 )

b² = ce ( equation 2 )

By adding b² on both side of equation 1 then we can write equation 1 as

$a^{2} + b^{2} = b^{2}+cf$

$a^{2} + b^{2} = ce+cf$

Because b² and ce are equal and substitute on the right side of equation 1

Using the converse of distributive property in above equation then we get a new equation. That is,

$a^{2} +b^{2} = c(f+e)$

Because distributive property is a(b+c)=a(b+ac)

a² + b² = c²

Because e + f = c²

To learn more about triangle congruency: brainly.com/question/1675117

#SPJ4

6 0

1 year ago