Which of the following is a factor of 7 x ^ 2 - 12x - 4?
A: 7x - 2
B: x + 2
C: x - 4
D: none of the above

Answer: A and D

Step-by-step explanation:

This is the REAL correct answer.

Answer: B. The environment of the zoo may cause the lions to behave

differently than they would in a natural habitat.  

                                         and

D. The presence of the researchers may affect the lions' behavior.

Step-by-step explanation:  Studying lion behavior in zoos has limitations. The artificial environment of a zoo can affect how lions behave compared to their behavior in the wild.  Additionally, the presence of researchers may influence the lions' behavior, making it difficult to observe and understand their natural interactions.

B. The environment of the zoo may cause the lions to behave differently than they would in a natural habitat.

In a zoo, lions are confined to a limited space and are provided with a controlled environment.  This artificial setting may not accurately reflect their natural habitat and can influence their behavior.  For example, the availability of food, different social dynamics, and reduced hunting opportunities in a zoo can lead to altered behaviors that may not be representative of how lions behave in the wild.

D. The presence of the researchers may affect the lions' behavior.

When researchers observe animals in a zoo, their presence can influence the behavior of the lions.  The presence of unfamiliar humans can cause the animals to become more cautious, stressed, or exhibit abnormal behavior.  This could potentially alter the social interactions and dynamics observed by the researchers, making it challenging to accurately understand and interpret natural lion behavior.

Answer:

Step-by-step explanation:

Answer:

\(0 \le x \le 20\)

Step-by-step explanation:

Given

\(60x + 80y = 1200\)

Required

Determine the domain

\(60x + 80y = 1200\)

First, solve for y

\(80y = 1200 - 60x\)

Divide through by 80

\(\frac{80y}{80} = \frac{1200}{80} - \frac{60x}{80}\)

\(y = \frac{1200}{80} - \frac{60x}{80}\)

\(y = 15- 0.75x\)

Given that x represents large cakes

The smallest number of cakes is 0.

To get the largest, we simply set y to 0 (to get the x intercept)

\(0 = 15- 0.75x\)

\(-15 = - 0.75x\)

Solve for x

\(x = \frac{-15}{-0.75}\)

\(x = 20\)

Hence, the domain is:

\(0 \le x \le 20\)

Answer:

Cost of fries = $ 1.17

order of fries =4

Total cost of fries =4 × 1.17

                           =  $ 4.68

cost of drinks  = $0.90

no. of drinks    = 5

total cost of drinks =0.90 × 5

                                =$4.50

total cost of drinks and fries = cost of drinks + cost of fries

                                              =$ 4.50 + 4.68

                                      ans        = $ 9.18

Step-by-step explanation:

At a food restaurant, it costs $ 9.18 to get 4 orders of fries and 5 drinks.

It is obtained by adding the individual costs for a given number of orders of fries and drinks. It costs \(1.17f + 0.90d\) for f orders of fries and d order of drinks.

Cost for an order of fries = $ 1.17

Then, the cost for 4 orders = 4 × $ 1.17 = $ 4.68

Cost for an order of drink = $ 0.90

Then, the cost for 5 drinks = 5 × $ 0.90 = $ 4.50

Then the total cost = Cost for 4 fries + Cost for 5 drinks

                                = $ 4.68 + $ 4.50

                                = $ 9.18

Similarly,

The cost for f fries = f × $ 1.17 = 1.17f

The cost for d drinks = d × $ 0.90 = 0.90d

Therefore, the total cost for f fries and d drinks = 1.17f + 0.90d

Thus, it costs $ 9.18 to get 4 orders of fries and 5 drinks and it costs 1.17f + 0.90d to get f orders of fries and d drinks.

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Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

I had the same question for math high school but the answer is 1.99

Step-by-step explanation:

Answer:

21 g

Step-by-step explanation:

12g

+ 9g

_____

21g

======

I think this is the answer but i can't confirm because your theory and my theory can be different

Answer:

Quadratic

Step-by-step explanation:

A quadratic equation is an equation that contains an input variable to the second degree. This means that one of the (x) variables is squared. The given equation satisfies this condition (with its term (\(3x^{2}\))), and therefore it is a quadratic equation.

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

$2,666,666.67

Step-by-step explanation:

To find the winner's share, divide 16 million by 6:

16,000,000 / 6

= 2,666,666.67

So, each winner's share was approximately $2,666,666.67

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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the number of different furniture sets the Robinson family can select is n * m * p.

To determine the number of different furniture sets the Robinson family can select, we need to calculate the total number of combinations for each item (bed, desk, and dresser) and then multiply them together.

Let's assume there are n choices for the bed, m choices for the desk, and p choices for the dresser.

Using the fundamental principle of counting, the total number of different furniture sets is obtained by multiplying the number of choices for each item:

Total number of furniture sets = number of choices for bed * number of choices for desk * number of choices for dresser

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Answer:

11i= √-1

Step-by-step explanation:

So first take 1 to the other side so we can leave the numbers with I on one section. So when we take 1 to the other side it becomes negative so 0-1 = -1. Since the 8 is squared to get rid of it were going to put a square root on the whole equation. √8i² + 9i = √-1 and we have to put the square root on the other side of the equation to make it equal. So on the other side we now have 8i + 3i *because the square root of 9 is 3* and then the -1 stays like that so its 11i= √-1 because we combine the 8i and 3i. Happy I could help!!!

Answer:

You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The task is a little not clear .... When I answered on this question earlier, I actually found multiplicative inverse of the product of 1/5 and (2x - 1/5)

But now I can see the question might be to find of The product of multiplicative inverse of 1/5 and (2x - 1/5)

Answer:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Answer:

Step-by-step explanation:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Hope that helps..

Take care..

Bye!

Answer:

circumference=43.96 yd

Area=153.86 yd^2

Step-by-step explanation:

c=2pi r

c=2x3.14x7

c=43.96 yd

area=pi r^2

Area=3.14x7^2

Area=153.86 yd^2

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by  IQR=Q₃-Q₁              (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation   …(1)

minimum=1

Q₁ =3    , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

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Answer:

80

Step-by-step explanation:

10*16=160 160 is the area of the square so you have to divide it by 2 and then you get 80

Answer:

that answer is 12  i already pass this

Step-by-step explanation:

h

Answer:

y = 1

Step-by-step explanation:

3 - 2 = y

3 - 2 = 1

y = 1

I cant text a table

\(\fbox{x = - 4} \: \sf or \: \fbox{ x = 2}\)

Step-by-step explanation:

\( \frac{x}{2} = \frac{4}{x} - 1\)

multiply whole equation with 2x,

\( \hookrightarrow\frac{x}{2} \times 2x = ( \frac{4}{x} \times 2x) - (1 \times 2x)\)

\(\hookrightarrow {x}^{2} = 8 - 2x\)

Rearranging above equation and making a quadratic equation,

\(\hookrightarrow {x}^{2} + 2x - 8 = 0\)

Comparing above equation with, ax²+bx+c,

a =1, b=2, c= -8

Using formula,

\(x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \)

Substituting the given values,

\(x = \frac{ - 2 ± \sqrt{ {2}^{2} - 4 \times 1 \times ( - 8)} }{2 \times 1}\)

\(x = \frac{ - 2 ± \sqrt{ 4+32} }{2}\)

\(x = \frac{ - 2 ± 6 }{2}\)

\(x = \frac{ - 2 + 6}{2} = \frac{4}{2} = 2\)

or

\(x = \frac{ - 2 - 6}{2} = \frac{ -8}{2} = - 4\)

\( \fbox{x = -4} \: \sf or \: \fbox{ x = 2}\)

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a. A Venn diagram is attached

b. The probability of a student playing only Basketball is  0.3.

c.  The probability of a student playing only Volleyball or only Soccer is 0.32.

b) The number of students playing only Basketball is 30 (Basketball - Volleyball and Basketball and Soccer - All three).

The total number of students =  100.

The probability of a student playing only Basketball is 30/100 = 0.3

c)

Number of students playing only Volleyball = Volleyball - (Basketball and Volleyball + All three) = 30 - (16 + 6) = 8

Number of students playing only Soccer = Soccer - (Basketball and Soccer + All three) = 40 - (10 + 6) = 24

Total number of students playing only Volleyball or only Soccer = 8 + 24 = 32

The probability of a student playing only Volleyball or only Soccer is 32/100, =  0.32.

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Answer:

525 minutes

Step-by-step explanation:

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, \(\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}\)

1.) The missing side of the triangle given above would be = 7.4

To calculate the value of the missing side of the triangle, the sine rule is used.

That is;

a/sinA = b/sinB

Where;

a = 5

A = 29°

b = ?

B = 46°

That is;

5/sin29° = b/sin46°

make b the subject of formula;

b = 5×0.719339800/0.484809620

b = 3.596699/0.484809620

b = 7.4

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Answer:

$600 overall

Step-by-step explanation:

Answer:

$600 more overall

Step-by-step explanation:

i'm great at math

Answer:                                                                                                                    695.52 cm3 Try using calculatorsoup dot com Significant Figures auto?                                                                                                                                

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\( \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \)

So we must find cos(alpha)

Use the Pythagorean Identity

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

We know sin(x)=-7/25

\(( - \frac{7}{25} ) {}^{2} + \cos {}^{2} ( \alpha ) = 1\)

\( \cos {}^{2} ( \alpha ) = 1 - \frac{49}{625} \)

\( \cos {}^{2} ( \alpha ) = \frac{576}{625} \)

\( \cos( \alpha ) = \frac{24}{25} \)

Since cos Is negative over the 3rd quadrant,

\( \cos( \alpha ) = - \frac{24}{25} \)

So we solve sin(2theta)

\( \sin(2 \alpha ) = 2( \frac{ - 7}{25} )( \frac{ - 24}{25} )\)

\( = \frac{336}{625} \)

Answer:

\(\textsf{B)} \quad \dfrac{336}{625}\)

Step-by-step explanation:

The sine double angle identity is:

\(\boxed{\sin (A\pm B)=\sin A \cos B\pm\sin B\cos A}\)

Therefore, using the sine double angle identity, we can rewrite sin 2θ as:

\(\sin (\theta+\theta)=\sin \theta \cos \theta+\sin \theta \cos \theta\)

\(\sin 2\theta=2 \sin \theta \cos \theta\)

Given that sin θ = -7/25, we can use the trigonometric identity sin²θ + cos²θ = 1 to find cos θ:

    \(\sin^2 \theta+\cos^2 \theta=1\)

\(\left(-\dfrac{7}{25}\right)^2+\cos^2 \theta=1\)

                 \(\cos^2 \theta=1-\left(-\dfrac{7}{25}\right)^2\)

                  \(\cos \theta=\sqrt{1-\left(-\dfrac{7}{25}\right)^2}\)

                  \(\cos \theta=\dfrac{24}{25}\)

The given interval for angle θ is:

\(\pi < \theta < \dfrac{3\pi}{2}\)

From inspection of the unit circle (attached), we can see that angle θ is in quadrant III. In this quadrant, both the sine and cosine of the angle are negative. Therefore:

\(\cos \theta=-\dfrac{24}{25}\)

Substitute the given value of sin θ and the found value of cos θ into the double angle equation to find the exact solution of sin 2θ:

\(\begin{aligned}\sin 2 \theta&=2 \sin \theta \cos \theta\\\\&=2 \left(-\dfrac{7}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \left(-\dfrac{14}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \dfrac{336}{625}\\\\\end{aligned}\)

Answer: I think its b

Step-by-step explanation: