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4 years ago

Help- ASAP please (25 points)

Mathematics

2 answers:

Alina [70]4 years ago

8 0

Answer:

(t^2 -4) (t^2 +4)

(t-2)(t+2)(t^2+4)

Step-by-step explanation:

t^4 - 16

We can write this as the difference of squares

We know the dfference of squares is

(a^2 - b^2) = (a-b) (a+b)

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)

We can write t^2 -4 as the difference of squares

t^2 -4 = t^2 -2^2 = (t-2)(t+2)

Replacing this in

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) = (t-2)(t+2)(t^2+4)

Readme [11.4K]4 years ago

4 0

Answer:

(t² - 4)(t² + 4)

(t - 2)(t + 2)(t² + 4)

Step-by-step explanation:

t⁴ - 16

(t²)² - 4²

(t² - 4)(t² + 4)

[t² - 2²](t² + 4)

(t - 2)(t + 2)(t² + 4)

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Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc

dimaraw [331]

Answer:

first shift: 13,750 bulbs
second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

3 0

4 years ago

Help pls and explain !!

Aneli [31]

Answer:

d) 5/3 x

Step-by-step explanation:

You substitute a for 2c and b for 5d, so your equation will look like this:

c/d - 2c/5d = x

Then you just simplify into x by making c/d into 5c/5d so you have a common denominator.

5c/5d - 2c/5d = x

3c/5d = x

5/3 is your answer

6 0

3 years ago

Read 2 more answers

Solve the equation and enter the value of x below.<br> -3x-9=-27<br> x=

kondor19780726 [428]

Answer:

Step-by-step explanation:

-3x=-27+9

-3x=-18

x=-18/-3

x=6

6 0

2 years ago

Read 2 more answers

The value in cents of 4 quarters and x dimes is

Zina [86]

To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

4 0

4 years ago