Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = __

Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?

Lubov Fominskaja [6]

Answer:

a) 2nd container is more efficient and contains the elements for a container.

b) The cylinder has a........A)Smaller surface area B)bigger C)equal

And will cost.....A)Less to produce B)more C)The same

Step-by-step explanation:

a) The 2nd container has these elements:

Width 20.5cm

Length 6.5cm

side 3.25cm

So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.

This container can hold the 300cm3 of juice.

b) A cylinder is a geometric solid common in everyday life. Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders. The two ends are called bases, and are usually circular. Though, they can take other shapes. When a cylinder is unrolled and flattened out, the side is actually a rectangle.

The surface area of a cylinder is the surface area of each end plus the surface area of the side. The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..

6 0

2 years ago

Using four or more complete sentences, contrast race and ethnicity and provide an example of each.

Brums [2.3K]

Answer:

Race and Ethnicity are considered to be social constructs that enable humans to be grouped or categorized. They are sometimes used interchangeably but most argue that they are different and give them different definitions.

Race is generally used to refer to people that have the same physical characteristics such as skin color or the same texture of hair for instance Black and White/Caucasian.

Ethnicity on the other hand relates to people sharing a common culture, language, nation, and/ or tribal heritage for instance, the English, the Irish and the Igbo.

8 0

2 years ago

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Line RS intersects triangle BCD at two points and is parallel to segment DC. Triangle B C D is cut by line R S. Line R S goes th

Svetlanka [38]

Answer:

The correct options are;

1) ΔBCD is similar to ΔBSR

2) BR/RD = BS/SC

3) (BR)(SC) = (RD)(BS)

Step-by-step explanation:

1) Given that RS is parallel to DC, we have;

∠BDC = ∠BRS (Angles on the same side of transversal)

Similarly;

∠BCD = ∠BSR (Angles on the same side of transversal)

∠CBD = ∠CBD = (Reflexive property)

Therefore;

ΔBCD ~ ΔBSR Angle, Angle Angle (AAA) rule of congruency

2) Whereby ΔBCD ~ ΔBSR, we therefore have;

BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1

1 + SC/BS = 1 + RD/BR = SC/BS = 1 + BR/RD - 1

SC/BS = RD/BR

Inverting both sides

BR/RD = BS/SC

3) From BR/RD = BS/SC the above we have by cross multiplication;

BR/RD = BS/SC gives;

BR × SC = RD × BR → (BR)(SC) = (RD)(BR).

7 0

2 years ago

Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5

Phantasy [73]

So to find the avrage u r going to add all the numbers then divide by the nuber of nubers u have there that will give u ur answer

5 0

2 years ago

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9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16 - 12}{3}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0

2 years ago

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = ___

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +_)2 = _