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algol [13]
3 years ago
10

Rewrite the function by completing the square h(x)=4x^2+4x+1

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

h(x) = 4(x+\frac{1}{2})^{2}

Step-by-step explanation:

h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}

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I don’t understand this at all
Mnenie [13.5K]

Answer:

B = 61.0

Step-by-step explanation:

Since this is a right angle, we can use trig functions

sin theta = opp side/ hypotenuse

sin B = 7/8

Take the inverse of each side

sin ^-1 ( sin B) = sin ^ -1 (7/8)

B =61.04497563

To the nearest tenth

B = 61.0

5 0
3 years ago
1) Order the animals by sleep time from least to greatest.
Zolol [24]
The way to line the animals is to put them in order going down. 0.433 56.3% 19/40 65.8%. Then you try to figure out what you need to convert so that you can get your answer. 56.3% changes to 0.563 because you move the decimal two places to the left. 65.8% changes to 0.658 and 19/40 is 0.475. 0.433 0.563 0.475 0.658. Now you compare each row to figure them out. When you do that your answer will be 0.433, 0.475, 0.563, and 0.658. I sleep about 9/24 of the day which is 0.375 and I will fit right befor 0.433.
4 0
3 years ago
Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili
melisa1 [442]

Answer:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

Step-by-step explanation:

For this case we have the proportion of interest given p =0.12. And we have a sample size selected n = 474

The distribution of \hat p is given by:

\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})

We want to find this probability:

P(\hat p>0.14)

And using the z score given by:

z = \frac{\hat p -\mu_p}{\sigma_p}

Where:

\mu_{\hat p} = 0.12

\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149

If we find the z score for \hat p =0.14 we got:

z = \frac{0.14-0.12}{0.0149}= 1.340

So we want to find this probability:

P(z>1.340)

And using the complement rule and the normal standard distribution and excel we got:

P(Z>1.340) = 1-P(Z

4 0
4 years ago
Rectangular flower bed needs a thin metal border all the way around. The sides are 4' x 3' long how many feet of border should b
Phoenix [80]
Good luck to you! Any questions, ask away.

5 0
3 years ago
Jason is pulling a box across the room. He is pulling with a force of 11 newtons and his arm is making a 37 angle with the horiz
MissTica

Force=10N

Angle=37

Vertical componenets:-

\\ \sf\longmapsto Fsin\theta

\\ \sf\longmapsto 10sin38

\\ \sf\longmapsto 10(0.6)

\\ \sf\longmapsto 6N

4 0
2 years ago
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