which of the following statements is true

Answer:

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the right trianglea are not given. The general explanation is as follows.

Using Pythagoras Theorem, we have:

a² = b² + c²

Where:

a => hypotenuse

Assume that the opposite and the adjacent sides are given as 3 and 4, respectively.

The hypotension becomes

a² = 3² + 4²

a² = 9 + 16.

a² = 25

Take square roots.

a = 5

If any of the other side lengths is missing; you make that side the subject and then solve.

Step-by-step explanation:

the answer is in the image above

The amount of oil consumed in 5 hours is 120.5 barrels.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, of fuel consumption in a factory from 6 am to 6 pm,

The equation =

f(t) = 0.9t³-0.6[tex]t^{0.5}[/tex]+10

where t is the time in hours after 6 am and f(t) is the number of barrels of fuel oil.

We need to find the how much oil is consumed by 11 am,

So, the hours between 11 am to 6 am = 11-6 = 5 hours

So, we need to find the oil consumption in 5 hours, so for the same put t = 5, in the equation,

f(5) = 0.9(5)³-0.6[tex](5)^{0.5[/tex]+10

= 112.5-2+10

= 120.5

Hence, the amount of oil consumed in 5 hours is 120.5 barrels.

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Step-by-step explanation:

everything can be found in the picture

Answer:

the answer is B

Step-by-step explanation:

cause exponensial means like a crazy amount very quickly

9514 1404 393

Answer:

  e. Exponential growth occurs when a population increases at a fixed percentage of every generation.

Step-by-step explanation:

Exponential growth occurs when the amount of increase is proportional to the population. That is, the increase is a fixed percentage of the population in any given time period (generation).

__

Many populations appear to have exponential growth when resources are effectively unlimited. The growth can be rapid, but isn't always. At some point, the population generally finds a limit to its growth, which then ceases to be exponential.

A function describing population growth that is jointly proportional to population and available resources is called a logistic function. It has an exponential component, but is not an exponential function.

Answer:

[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]

Step-by-step explanation:

The following formula can be utilized for this question:

[tex]N = N_o (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\\frac{N}{N_o} = (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\[/tex]

where,

[tex]\frac{N}{N_o}[/tex] = ratio of the remaining amount to the original amount = ?

t = tme passed = 6 days

[tex]t_{1/2}[/tex] = half-life = 13 days

Therefore,

[tex]\frac{N}{N_o} = (\frac{1}{2} )^{\frac{6\ days}{13\ days} }\\\\[/tex]

[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]

Step-by-step explanation:

So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.

The little lines theu each section are telling you all those sections are identical, which mean they are the same length.

You are told one section is 10, which means x is also 10

X = 10

Answer:

You need to add the numbers up

0.4 +0.2+0.1=0.7

1-0.7=0.3

Ans=0.3

Step-by-step explanation:

at first solve first triangle with Pythagorean solving witch it c²=a²+b²

you have to change a bit so it will be c²-b²=a²

you start with 8 and 10 triangle and then you get line which is in the middle and yo udo just the same with triangle 8 and the solved side and you get x in the second triangle you have to use c²-a²=b²

Answer:

a = 3 and b = 4

Step-by-step explanation:

5a + 4b = 31 --(1)

5a + 6b = 39 --(2)

(2) - (1) : 2b = 8

               b = 4 -- (3)

Substituting (3) into (1),

5a + 16 = 31

5a = 15

a = 3 -- (4)

Therefore, a = 3 and b = 4

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Have a nie day!

Answer:

DC = 2

Step-by-step explanation:

The wrong equation was used.

The right equation to use based on the midsegment theorem of a trapezoid is:

MN = ½(AB + DC)

MN = 8

AB = 14

Substitute

8 = ½(14 + DC)

Multiply both sides by 2

8*2 = ½(14 + DC)*2

2*8 = 14 + DC

16 = 14 + DC

16 - 14 = 14 + DC - 14

2 = DC

DC = 2

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of product A and y represent the number of product B, hence:

x ≤ 500 + 2y        (1)

Also:

35x + 50y > 22500²    (2)

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

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Step-by-step explanation:

12) ASA - we need the second angle.

13) We need the side and second angle.

14) We need second side. First side we know is equal since both triangles share it.

Answer:

The bulding is 381,623 meters high.

Step-by-step explanation:

To dertermine the height of the bulding I would use tanα = rectangulair side / closest rectangulair side.

19,08 = the height/ 20m.

<=> 19,08.20m= the height = 381,623 m

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4.27\text{cm} \approx\boxed{4\text{cm}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Recall the Rounding Rules:

⸻⸻⸻⸻

[tex]\underline{4.27cm}\\\\\rightarrow2\leq 4\\\\\boxed{4.27cm \approx 4cm}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

here are the matrices you were looking for

Answer:

Amount of food need for 30 days = 14.4 kilogram

Step-by-step explanation:

Given information:

Amount of food dog eat each day = 0.48 kilogram

Find:

Amount of food need for 30 days

Computation:

⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days

⇔ Amount of food need for 30 days = 0.48 x 30

Amount of food need for 30 days = 14.4 kilogram

14.4 kilogram is right answer.

Answer:

a. there could be a problem of high error

b. randomized block design can remove the issue of heterogeneity

c. yes they should

d, yes it could

Step-by-step explanation:

a. if their is a lack of homogeneity among the sample population, then the results that would be obtained are going to be with increased experimental error.

b. given the number of treatment, the randomized block design technique can be done. This would then remove the issue of heterogeneity. It also gives more information and the results from the test are easier. Even in the presence of missing data, the missing plot technique can be employed.

c. when a control group is used, it makes easier the examination of the market research in a more effective way.

d. Yes it could be a double blind one. This would help to take away the problem of bias.

Answer:

6x+4 ft

40 ft

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

  = 2( x+5 + 2x-3)

Combine like terms

  = 2(3x+2)

 Distribute

  =6x+4

Let x= 6

 = 6*6+4

  = 36+4

  = 40

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]H_0:[/tex] Management quality and corporate reputation are independent.  

[tex]H_1:[/tex]  Management quality and corporate reputation are not independent.

Test statistic:

[tex]\to \chi^2 = \frac{\sum (O-E)^2}{E}[/tex]

[tex]= 0.71429 + 0.0102 +2.8809+0.625+1.75 +0.3333 +0+3.2143+7.5\\\\= 17.02806[/tex]

The critical [tex]\chi^2[/tex] for[tex]df = (r-1)(c-1) = (3-1)(3-1)= 4[/tex] and [tex]\alpha = 0.05[/tex] is [tex]\chi^2= 9.4877[/tex]

Test statistic:

[tex]17.02806 > 9.4877[/tex] therefore rejecting the null hypothesis [tex]H_0[/tex].

p-value[tex]= 0.001909[/tex]

Interpretation:

There is no internal governance quality as well as the reputation of the organization.

Answer:

So, to fill the tray completely , he needs 3 bags of sand.

Step-by-step explanation:

Tray dimensions,

length = 0.8 m

Width = 0.6 m

height = 0.1 m

Volume of one sand bag = 17000 cm^3

Let the volume of the tray is V.

V = length x idth x height

V = 0.8 x 0.6 x 0.1 = 0.048 m^3

Number of sand bags

[tex]n=\frac{0.048}{17000\times 10^{-6}}\\\\n = 2.82[/tex]

So, to fill the tray completely , he needs 3 bags of sand.

Answer:

58.3

Step-by-step explanation:

divide 700 by 12

Answer:

$50

Step-by-step explanation:

The equation for this is:

700 = 12m + 100, where $700 is the total cost, m is the monthly fee, 12 is the number of months in a year, and $100 is the starting fee

Solve the equation:

700 = 12m + 100

12m = 600

m = 50

9514 1404 393

Answer:

  AC ≈ 6.8 cm

Step-by-step explanation:

For legs a and b of a right triangle with hypotenuse c, the Pythagorean theorem tells us ...

  a = √(c² -b²)

Using this relation, we can find legs CE and AE.

  CE = √(3² -2²) = √5

  AE = √(5² -2²) = √21

AC is the sum of these two lengths:

  AC = AE +EC = √21 +√5

  AC ≈ 6.8 cm

Answer:

answer is 0 in the ones column

Answer:

The population of this problem would be the 3 million viewers and the sample would be the 0.2 million that voted.

hope this helps!

Answer:

63,5

Step-by-step explanation:

pi r bình pnhân  hươnh g

Answer:

10,000 different PINS are possible

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:

[tex]T = 10^4 = 10000[/tex]

10,000 different PINS are possible

Answer:

Increasing the number of people allows more variety and diversity, which makes the sample more accurate.