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katovenus [111]
3 years ago
8

Changed and enter the quadratic function form vertex form , y =a (x-h)+k, to standard form ,y =ax+bx+c.

Mathematics
1 answer:
maksim [4K]3 years ago
5 0
Yovd DVD’s dr. Did tdvvdr
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Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h
8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

weight_{unit}=\frac{18oz}{6}=3oz

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

fiber=(3oz)(0.51)=1.53oz

Finally, in each muffin there are 1.53oz of fiber.

6 0
4 years ago
The pyramid shown has a square base that is 12 centimeters on each side. The slant height is 18 centimeters. What is the surface
iogann1982 [59]
A = 576 cm2 hope that helps ;)<span>
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8 0
3 years ago
Read 2 more answers
The standard divination of a set of data is 9.5 the mean is 205 what is the margin of error
skelet666 [1.2K]

Step-by-step explanation:

Margin of error = critical value × standard deviation

We aren't given the critical value or any information to calculate it, so we need to make some assumptions.  Assuming the data set is large enough to be approximated as normal, and that the confidence level is 95%, then the critical value is 1.96.

ME = 1.96 × 9.5

ME = 18.62

You may choose to round 1.96 to 2, in which case the margin of error is:

ME = 2 × 9.5

ME = 19

8 0
4 years ago
9 is 25% of what number?
Black_prince [1.1K]

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

4 0
3 years ago
You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then
gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is  d\theta_1  =(14.36p)^o

Step-by-step explanation:

From the question we are told that

    The angle of elevation  is  \theta_1  =  15 ^o =  \frac{\pi}{12}

     The height of the tree is  h

      The distance from the base is  D

h is mathematically represented as

            h  = D tan \theta       Note : this evaluated using SOHCAHTOA i,e

                                               tan\theta  =  \frac{h}{D}

Generally for small angles the series approximation of  tan \theta \  is

          tan \theta  =  \theta  + \frac{\theta ^3 }{3}

So given that \theta =  15 \ which \ is \ small

       h = D (\theta + \frac{\theta^3}{3} )

       dh = D (1 + \theta^2) d\theta

=>        \frac{dh}{h} =  \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta

Now from the question the relative error of height should be at  most

        \pm  p%

=>    \frac{dh}{h} =   \pm p

=>    \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta  = \pm p

=>      d\theta  =  \pm  \frac{\theta +  \frac{\theta^3}{3} }{1+ \theta ^2} *    \ p

 So  for   \theta_1

            d\theta_1  =  \pm  \frac{\theta_1 +  \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} *    \ p

substituting values  

          d [\frac{\pi}{12} ]  =  \pm  \frac{[\frac{\pi}{12} ] +  \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} *    \ p

 =>       d\theta_1  = 0.25 p

Converting to degree

           d\theta_1  = (0.25* 57.29) p

            d\theta_1  =(14.36p)^o

4 0
3 years ago
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