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3 years ago

80 pts! Solve the equation. Please select the best answer from the choices provided.

Mathematics

1 answer:

Flauer [41]3 years ago

5 0

Answer:

Step-by-step explanation:

We can first move the variables to one side.

We can do this by subtracting 6x from both sides.

12x^2-6x=0

Now, we can factor out 6x.

6x(2x-1)=0

Since it equals 0, we know that 2x-1=0, or 6x=0.

This is because when ab=0, either a or b must equal 0.

So we can set both of these equal to 0 to solve.

6x=0

Divide both sides by 6.

x=0

2x-1=0

Add 1 to both sides.

2x=1

Divide both sides by 2.

x=1/2

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The sum of this 4 digit even number's thousands and ones digit is 10

Vladimir [108]

Even
means ends with 0,2,4,6,8

adds to 10
the last number cannot be 0 because the first cannot be add to 10

it can be
8xx2
6xx4
4xx6
8xx2

where x is any whole number you want

4 0

3 years ago

An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample

Genrish500 [490]

Step 1:

In a sample of 380 randomly selected reservations, 19 were no-shows.

Step 2:

Proportion of no shows p<0.06.

Step 3:

Test Value

z(19/380)=0.05

Step 4:

Test statistics

a) 0.05-1.124=-1.074

b) 0.05-(-1.943) = 0.05+1.943=1.993

c)0.05-(-0.821)=0.05+0.821=0.871

d)0.05 - 0.222 = - 0.172

e)0.05 -(-1.571) = 0.05+1.571 = 1.621

The above data clearly mentions the test statistics associated with the given samples.

7 0

3 years ago

Read 2 more answers

Exponential growth/decay problem 1

RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) $f(x)=500(1.06)^x$

e) $595.51

Step-by-step explanation:

Part (a)

Exponential GROWTH, since interest is applied to the account each year.

Part (b)

Initial amount = $500

Part (c)

Growth factor = 6% = 0.06 (in decimal form)

Part (d)

General form of exponential growth function:

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

where:

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

Given:

a = 500
r = 0.06

$\implies f(x)=500(1+0.06)^x$

$\implies f(x)=500(1.06)^x$

Part (e)

when x = 3

$\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}$

5 0

2 years ago

One day, the Early Bird Restaurant used

stiks02 [169]

Answer:

F. 23

Step-by-step explanation:

15/2 = 7.5

7.5 dozen eggs per 100 customers

15 + 7.5 = 22.5 which can be rounded to 23

= 23

3 0

2 years ago

I need all these before the morning!! For 20 points

Marta_Voda [28]

Answer:

15) Option B. 3

16) Option H. 144

17) Option B. -21

18) Option H. a^4 + 2

19) Option E. -18

20) Option G. 60

Step-by-step explanation:

15) 217/4 = 54 with a remainder of 1

217 = 4 ⋅ 54 + 1

So, the 217th digit after the decimal point of 0.3456 is one of the 4n+1st digits (with n=54) and must be 3.

16) a = 1/2, p = 1/16 * 48^2

= 144cm^2

17) when you solve the equation x^2 + 4x - 21 = 0 you get two solutions.

one is x = 3 and the second one is x = -7. The question is asking for the product so you will multiply these two x values. 3 * -7 = -21.

18) the factors of a^16 - 16 are: (a^8 + 4) (a^4 + 2) (a^4 -2)

Out of these factors that we get, (a^4 + 2) is the only polynomials listed in the answer choices.

19) 2n - 5 / n when n = 1/4

= 2(1/4) - 5 / 1/4

= -18

20) The machine is reading 40 pages in 1 hour, how many will it read in 90 minutes?

So, there are 60 minutes in an hour and the machine is reading 40 pages in 60 minutes. Meaning it is reading 20 pages in half an hour. So 20 + 20 = 40, so we are correct, the machine is indeed reading 20 pages in 30 mins. 90-60 mins = 30 mins.

How many pages is it reading in 30 mins? 20 right. So 40 + 20 = 60

The machine will read 60 pages in 90 mins.

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2 years ago

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