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1 year ago

Convert the following decimals to percent. 1) 4.75 = 2) 0.99 = 3) 10.4 =

Mathematics

1 answer:

Scorpion4ik [409]1 year ago

6 0

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

4.75
0.99
10.4

<h3>Conversion of Decimals to Percentage</h3>

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

$4.75 * 100 = 475 \%$

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

$0.99 * 100 = 99 \%$

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

$10.4 * 100 = 1040\%$

Learn more on conversion of decimal value to percentage here;

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Makovka662 [10]

Let $u=x^2-4$ and $v=4x-5$ . By the product rule,

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}$

By the power rule, we have $(u^5)'=5u^4$ and $(v^4)'=4v^3$ , but $u,v$ are functions of $x$ , so we also need to apply the chain rule:

$\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}$

and we have

$\dfrac{\mathrm du}{\mathrm dx}=2x$

$\dfrac{\mathrm dv}{\mathrm dx}=4$

So we end up with

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3$

Replace $u,v$ to get everything in terms of $x$ :

$\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3$

We can simplify this by factoring:

$10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)$

$=2(x^2-4)^4(4x-5)^3(28x^2-57)$

7 0

2 years ago

A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria,

DIA [1.3K]

Initial number of Bacteria = Ao = 100
Number of Bacteria which make the person ill = A = 45,000,000

Growth rate = r = 150% = 1.50

The equation model for this situation is:

$A= A_{o}(1+r)^{t}$

Using the values in above equation, we can write:

$45000000=100(1+1.5)^{t} \\ \\ 
450000=(2.5)^{t} \\ \\ 
log(450000)=log((2.5)^{t}) \\ \\ 
log(450000)=t*log(2.5) \\ \\ 
t= \frac{log(450000)}{log(2.5)} \\ \\ 
t=14.21$

This means, the person will fall sick after about 14 hours.

8 0

2 years ago

Read 2 more answers

Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.

tresset_1 [31]

Answer:

3× + 16 = 22.75

3× = 22.75 - 16

3x = 6.75

3 3

x = 2.25

7 0

2 years ago

If angle 1 = 6n + 1 and angle 4 = 4n + 19, what is the angle 2?

kobusy [5.1K]

Angles 1 and 4 are alternate angles and thus have the same measurement. You will set their equations equal to each other and solve for the variable.

6n + 1 = 4n + 19

Subtract 1 and 4n from both sides to get variables on one side and constants on the other.

6n - 4n = 19 - 1

Combine like terms and solve for n.

2n = 18
n = 18 / 2
n = 9

Angles 1 and 2 are congruent as labeled in the graph.

So angle 2 is also 6n + 1

Plug in for 9 for n

6(9) + 1
54 + 1
55

Option C is your answer.

7 0

2 years ago

A square wall is 30 ft ^2. What is the length of one wall?

Serggg [28]

√30 = 5.47722557505

so 5.5ft × 5.5ft ≈ 30ft²

I hope I helped

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8 0

2 years ago