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Gemiola [76]
3 years ago
15

Factor the trinomial completely. a^4 -2a^2 - 35

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Answer:

(a^2+5)(a^2-7)

Step-by-step explanation:

  • a^4 -2a^2 - 35=
  • a^4-2a^2+1-36=
  • (a^2-1)^2-6^2=
  • (a^2-1+6)(a^2-1-6)=
  • (a^2+5)(a^2-7)
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Q.1 Simplify :-<br><br>(i) (- 625 ) + 925 + 100 + (-200)​
Dmitrij [34]
825 - 625i

Hope it’s right
Best luck with your studying
3 0
2 years ago
In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0
3 years ago
Jennifer earns $8.50 per hour for regular work time and $10.50 per hour for overtime. Last week, Jennifer worked 43 hours of reg
allochka39001 [22]

Answer:

$433.84

Step-by-step explanation:

First, find the amount of money Jennifer earned for regular work time:

8.50 x 43 = 365.50

Then, find the amount of money Jennifer earned for overtime work:

10.50 x 6.5 = 68.25

Finally, add them:

365.50 + 68.25 = 433.75

3 0
3 years ago
y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. What is the value of y when x = 5 m and z = 12 m
Fantom [35]
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:

y =  \frac{2}{3}  \times 5 \times 12 = 40
3 0
3 years ago
Read 2 more answers
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