4) Divide x^4 – 14x^2 + 45 by (x - 3)

Answer:

See explanation

Step-by-step explanation:

Since banks use compound interest, then we write;

A = P(1 +r)^n

A = amount

P = principal

r= rate

n= time period

P = $7,500

n = 6

r = 6%

Substituting values;

A = P(1 +r)^n

A = 7,500(1 + 6/100)^6

A=$ 10,639

Interest = Amount (A) - Principal(P)

Interest = $ 10,639 - $7,500

Interest = $3139

Her final account balance after six years is $10,639

Answer:

no inglish :"<

sorry pero espero y alguien te responda bien pronto

Answer:

1535

Step-by-step explanation:

camdens net pay will be 1535

Answer:

75/-3 = -25

Step-by-step explanation:

Numerator: -5^2 + 10^2 = 75

-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.

10^2 = 100,

-25 + 100 = 75

Denominator: (2 x (-5) x 3) + 3^3 = -3

2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30

3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27

-30 + 27 = -3

Total Fraction = 75/-3  

Simplified = -25

Answer:

Volume of a cone = 18 in³

Step-by-step explanation:

diameter of cone = 3 in

radius of cone = 1.5 in (diameter/2)

height = 8 in

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 1.5 × 1.5 × 8)/3

V = 54/3

V = 18 in³

Answer:

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Step-by-step explanation:

Composite functions:

Suppose that we have two functions, f and g. Their composite is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

We have that:

[tex]f(x) = 3x + 2[/tex]

[tex]g(x) = x^2 + 1[/tex]

The composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Answer:

$7.51

Step-by-step explanation:

I think you meant $32.49*

$40.00

- $ 32.49

-----------------

$ 7.51

Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.

9514 1404 393

Answer:

  a.  24 = 8·3

  b.  336 = 8·x

Step-by-step explanation:

A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).

  a/b = c   ⇔   a = bc

__

a.  24/3 = 8   ⇒   24 = 3·8

b.  336/8 = x   ⇒   336 = 8x

Answer:

seriously,I think the answer is 10 hundred thousand

Step-by-step explanation:

10*100000=1000000

Answer:

1

Step-by-step explanation:

1. List the prime factors of each number.

2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

3. Multiply all the circled numbers. The result is the GCF.

Answer:

1

Step-by-step explanation:

Answer:

sh 75

Step-by-step explanation:

I don't know what's the method but I hope this will help.if it isn't matching the answer in your book, you can ask me I mean you can tell me.

Answer:

1 3/4 1

Step-by-step explanation:

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = [tex]1 - \frac{1}{(x + 1)^3}[/tex] ; [tex]x > \theta[/tex]

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ [tex]1 - \frac{1}{(x + 1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(x + 1)^3}[/tex] ]

we substitute

= [ [tex]1 - \frac{1}{(1.1 + 1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(0.9 + 1)^3}[/tex] ]

= [ [tex]1 - \frac{1}{(2.1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(1.9)^3}[/tex] ]

= [ [tex]1 - \frac{1}{(9.261)}[/tex]  ] - [[tex]1 - \frac{1}{(6.859)}[/tex] ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Answer:

[tex]V=60.28\ cm^3[/tex]

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]

So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].

Answer:

the symmetry would be the opposite

Step-by-step explanation:

hope it helps

Answer:

$1125000

Step-by-step explanation:

45,000 x 25 = 1125000

Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.

Answer:

Ahmed is incorrect.  The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.

Second thing to not is that a parabola because narrower as the value of  a increases, not decreases.  If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.

Please remember to brainliets this answer.

Answer:

LN= 68°

Step-by-step explanation:

Answer:

8. X=108.

9. X= 14.

Step-by-step explanation:

Hope it was helpful ;)

Answer:

[tex](a)\ A_1 = s^2[/tex]

[tex](b)\ A_2 = 4s^2[/tex]

(c) 4 small squares

Step-by-step explanation:

Given

Small Square:

[tex]Dimension: s[/tex]

Large Square:

[tex]Dimension: 2s[/tex] i.e. twice as long as the small square

Solving (a): The area of the small square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_1 = s^2[/tex]

Solving (b): The area of the large square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_2 = (2s)^2[/tex]

[tex]A_2 = 4s^2[/tex]

Solving (c): Number of small square to cover the large square

To do this, we simply divide their areas.

Let n represents the required number; n is calculated as:

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{4s^2}{s^2}[/tex]

[tex]n = 4[/tex]

Hence, 4 small squares is required to cover the large square

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

Answer:

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.

Answer:

(c) and (e) are true

Step-by-step explanation:

Given

[tex]P(d) = 10. (1.08)^d[/tex]

See attachment for complete question

Required

Which of the options is true

(a) 1080 insects on day 1

This implies that d = 1

So, we have:

[tex]P(1) = 10* (1.08)^1[/tex]

[tex]P(1) = 10* 1.08[/tex]

[tex]P(1) = 10.8[/tex]

(a) is incorrect because [tex]P(1) \ne 1080[/tex]

(b) 10800 insects after a week

This implies that [tex]d = 7[/tex]

So, we have:

[tex]P(7) = 10* (1.08)^7[/tex]

[tex]P(7) = 10* 1.71382426878[/tex]

[tex]P(7) = 17.14[/tex]

(b) is incorrect because [tex]P(7) \ne 10800[/tex]

(c): Growth factor per day is 1.08

An exponential factor is represented as:

[tex]y = ab^x[/tex]

Where

b is the growth factor

By comparison:

[tex]b = 1.08[/tex]

Hence, (c) option is true

(d): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

So, the growth factor for n days is:

[tex]Factor = 1.08^n[/tex]

Substitute 7 for n i.e. 7 days

[tex]Factor = 1.08^7[/tex]

So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]

Hence, (d) option is true

(e): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

For hourly rate, we have:

[tex]Factor = 1.08^\frac{1}{24}[/tex]

Hence, (e) option is true

Answer:

The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.

Step-by-step explanation:

I hope I helped

Answer:

It is factorizable

Step-by-step explanation:

4(x² - 3x + 2) is the factoried version :)

There are many equations that has a constant of

proportionality, might want to make it more specific.

Answer:

i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment

Step-by-step explanation: