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3 years ago

Write these numbers in order of size, start with the smallest number 60% 1/2 0.3 3/4 0.4

Mathematics

1 answer:

adoni [48]3 years ago

8 0

(Smallest to biggest) 0.3, 0.4, 1/2, 60%, 3/4
Turning all number to decimals
.3, .4, .5, .60, .75

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Jeff had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money jeff has left?

Ilia_Sergeevich [38]

Answer:

$4.90

Step-by-step explanation:

14.50-4.35=10.15

10.15-5.25=4.90

7 0

4 years ago

Read 2 more answers

-4.8f+6.4=-8.48 what's f 7.3y-5.18=-51.9 what's y

stich3 [128]

F=4 and y=3 those are the answers

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3 years ago

Exponential growth/decay problem 2

lapo4ka [179]

Answer:

a) decay

b) 2,950,000

c) 0.025

d) $f(x)=2950000(0.975)^x$

e) 2,409,123

Step-by-step explanation:

Part (a)

Exponential DECAY, since the population was decreasing annually.

Part (b)

Initial amount = 2,950,000 people (in the year 2000)

Part (c)

Decay factor = 2.5% = 0.025 (in decimal form)

Part (d)

General form of exponential decay function:

$f(x)=a(1-r)^x$

where:

a = initial amount
r = rate of decay (in decimal form)
x = time (in years)

Given:

a = 2950000
r = 0.025

$\implies f(x)=2950000(1-0.025)^x$

$\implies f(x)=2950000(0.975)^x$

Part (e)

To determine the city's population in 2008:

$x = 2008 - 2000 = 8$

$\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}$

7 0

2 years ago

Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 2,1,0.5,0.25, . . . . . .

tresset_1 [31]

It is a geometric sequence. The next two terms are: 0.125, 0.0625

The given sequence is:

2, 1, 0.5, 0.25, . . . .

Let a(n) be the nth term, then in the above sequence

a(1) = 2

a(2) = 1

a(3) = 0.5

a(4) = 0.25

Notice that:

a(2) = a(1) x 0.5

a(3) = a(2) x 0.5

a(4) = a(3) x 0.5

A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.

Therefore this is a geometric sequence with r = 0.5

To find the next two terms, continue the multiplication process:

a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125

a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625

Learn more about sequences here:

brainly.com/question/24989563

#SPJ4

7 0

1 year ago

What is the center and radius? X^2+y^2+6x-6y=-14

Zolol [24]

Answer:

Therefore,

$Center\ is\ C(-3,3)\\and\\Radius= 2\ units$

Step-by-step explanation:

Given:

A Equation of a Circle that is

$x^{2} +y^{2}+ 6x-6y=-14$

Which can be written as

$x^{2} +y^{2}+ 6x-6y+14=0$

To Find:

Center C( -g , -f ) = ?

radius = r =?

Solution:

General Equation of a Circle is given as

$x^{2} +y^{2}+ 2gx+2fy+c=0$

On Comparing the Given equation with the General equation we get the following values,

$2g=6\ and\ 2f=-6\ and\ c=14\\\therefore g=\frac{6}{2}=3\\ \\\therefore f=\frac{-6}{2}=-3\\$

Now, Center and Radius for above circle is given as

$C(-g,-f)=(-3,-(-3))=(-3,3)\\and\\radius = r=\sqrt{(g^{2}+f^{2}-c )} = \sqrt{(3^{2}+(-3)^{2}-14)}\\\\\therefore radius = r=\sqrt{(18-14)} \\\\\therefore radius = r=\sqrt{4}=2\ unit\\$

Therefore,

$Center\ is\ C(-3,3)\\and\\Radius= 2\ units$

6 0

4 years ago