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abruzzese [7]
3 years ago
6

Write y = x2 − 4x − 1 in vertex form. y = (x + 2)2 − 5 y = (x + 2)2 + 5 y = (x − 2)2 − 5 y = (x − 2)2 + 5

Mathematics
1 answer:
marta [7]3 years ago
4 0

Answer:

.

Step-by-step explanation:

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You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig
Anton [14]

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

\sqrt{397} = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

5 0
3 years ago
The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47

4 0
3 years ago
To convert 12 yards to inches, you would use the ratio .36inches/1 yard true or false ?
Taya2010 [7]
False. It's 36 not .36 and you would just do 12x36 since 36 inches is 1 yd. But if you want to make it complicated just do 12/1 times 36/1 which still equals 432.
8 0
3 years ago
Rewrite cot 80° in terms of its cofunction.
zysi [14]

Answer:

tan 10 degrees.

Step-by-step explanation:

tan x = cot (90 - x) so:

cot 80 = cot (90 - 10)

= tan 10.

8 0
3 years ago
What is the solution of the following? *<br> -4 = 16<br> Infinite solutions<br> no solution
rjkz [21]

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

8 0
3 years ago
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