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The independent quantity is the number of days into the monitoring and the dependent quantity is the number of mole rats counted.

The independent quantity refers to a variable that is not influenced by any other factor and can be changed freely in an experiment or study.

In this case, the number of days into the monitoring is the independent quantity because it can be varied at the discretion of the zoo keeper.

The dependent quantity, on the other hand, is a variable that depends on the independent quantity and is affected by changes in it.

In this case, the number of mole rats counted is the dependent quantity because it is determined by the number of days into the monitoring. The zoo keeper counts a different number of mole rats based on how many days have passed, which is determined by the independent quantity.

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A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108.

what information is provided?

Answer:

1) x = 6

2) x = 2√10 = 6.3

3) z = 19

4) x = 1

Step-by-step explanation:

1)

\(10x = 5(12)\)

\(10x = 60\)

\(x = 6\)

2)

\( {x}^{2} = 10(4)\)

\( {x}^{2} = 40\)

\(x = 2 \sqrt{10} = 6.3\)

3)

\((14 + 4)(14) = (z + 9)(9)\)

\(18(14) = 9(z + 9)\)

\(2(14) = z + 9\)

\(28 = z + 9\)

\(z = 19\)

4)

\(2(4) = 8x\)

\(8 = 8x\)

\(x = 1\)

Well we can see that 40+30+x=180 degrees (Because it is a straight line)

So that means x=110 degrees.

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number ...

Ben's final cost after the 15% discount will be $40.375

From the question, we have the following parameters that can be used in our computation:

Discount = 15%

Total purchase = $47.50

Using the above as a guide, we have the following:

Final cost = Total purchase * (1 -Discount)

Substitute the known values in the above equation, so, we have the following representation

Final cost = 47.50 * (1 -15%)

Evaluate

Final cost = 40.375

Hence, the final cost is $40.375

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Answer:

1000.

Step-by-step explanation:

We need 4 weights where 3 of them add up to

900, 1400, 1600 or 1800g.

Not sure of the method for doing this!

Lets assume that the answer is 1000 g.

Then the  3 that make 1800 could be

1000 500 and 300

- then to make 900 we need a 100g tomato giving:

1000 500 300 and 100 grams

So the 1400 will be the 1000, 300 and 100 tomato

and the 1600 will be 1000, 500 and 100.

That seems to fit !!

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

-2

Step-by-step explanation:

Answer: y = 120 degrees, x = 31 degrees

Step-by-step explanation:

Y is 120 degrees because same-side exterior angles are supplementary.

Therefore, 60+ y = 180; y = 120

Since "y" and "4x-64" are supplementary, they add up to 180.

We already know y as 120.

So 120 + 4x - 64 = 180

4x = 124

x = 31

Answer:

5  5/8

Step-by-step explanation:

6 3/8 - 6/8

The denominators are the same, so we borrow from the 6

Borrw 1 in the form 8/8

6 + 8/8 +3/8 - 6/8

5 11/8 - 6/8

5  5/8

Answer:

$20

Step-by-step explanation:

25*0.8=20

Answer:

75. is yr correct ans.

Step-by-step explanation:

hope it helps.

stay safe healthy and happy.

Answer:

x = 75

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both of measure x

The sum of the 3 angles = 180° , that is

x + x + 30 = 180

2x + 30 = 180 ( subtract 30 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

(x/5)-10 where x is "number"

After rotation the shape 180 degree new coordinates are, (- 1, - 2) , (- 4, - 2) and (- 4, - 4) and the figure is shown in graph.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The shape is shown in figure.

Here, The coordinates of triangles are,

⇒  1, 2) , ( 4,  2) and ( 4,  4).

We know that;

The rule of rotation about 180 degree is,

⇒ (x, y) → (- x, - y)

Thus, The new coordinates are,

⇒ (- 1, - 2) , (- 4, - 2) and (- 4, - 4)

So, The figure after rotate about 180 degree is shown in figure.

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Answer:

solution,

R={(6,-1),(-2,2),(18,-1),(-2,3)}

domain={6,-2,18}

range={-1,2,3}

domain:range is the relation a function…

Note:-

Solution:-

\(\\ \sf\longmapsto D_f=\{6,-2,18\}\)

\(\\ \sf\longmapsto R_f=\{-1,2,3\}\)

No it's a relation not function

The given number "-68.555" is a: B. rational number.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

In this context, we can infer and logically deduce that -68.555 is a rational number.

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The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = 2(x + 4)² - 8 ← is in vertex form

with vertex = (- 4, - 8 ) → A

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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The proportion of defective circulators can be calculated by weighting the defect rates of each company by their respective proportions in the contractor's inventory. Thus, the proportion of defective circulators can be expected to be 0.0065 (0.60*0.005 + 0.40*0.010).Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

To calculate the probability that a defective circulator came from the first company, we can use Bayes' theorem.

Let A denote the event that a circulator is defective, and let B denote the event that the circulator came from the first company.

We want to find P(B|A), the probability that the circulator came from the first company given that it is defective.

This can be calculated using the formula P(B|A) = P(A|B)*P(B)/P(A), where P(A|B) is the probability of a defective circulator given that it came from the first company (0.005),

P(B) is the probability that a circulator came from the first company (0.60), and P(A) is the overall probability of a defective circulator (0.0065).

Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.

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yes 7 - 11 = -4

so 7x - 11x = -4x

Answer:

Yes-

Step-by-step explanation:

It repeats .121212 infinitely... I assume. You didn't say if it repeated or not.

Answer:

Yes

Step-by-step explanation:

Every repeating decimal satisfies a linear equation with integer coefficients, and those equations have solutions that are always rational numbers.

Therefore, every repeating decimal is a rational number.

Answer:

⦿   \( x = -2w + 6 \)

Step-by-step explanation:

\( x - \dfrac{5}{2}w + 14 = 3x + \dfrac{6}{4}w + 2 \)

\( x - \dfrac{5}{2}w + 14 = 3x + \dfrac{3}{2}w + 2 \)

\( -2x - \dfrac{5}{2}w = \dfrac{3}{2}w - 12 \)

\( -2x = \dfrac{8}{2}w - 12 \)

\( -2x = 4w - 12 \)

\( x = -2w + 6 \)

For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

As given in the question,

To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:

Force = mass × acceleration

As object remain same ⇒ mass is constant as object remain same.

And there is change in the acceleration.

Acceleration depends change in velocity over total time taken.

Acceleration depends on velocity and time.

Net force also depends on velocity and time.

Two measurements need to know  while conducting trail experiments are velocity and time.

Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

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Answer: 12.5

Step-by-step explanation:

The majority of Young professional subscribers are interested in personal finance and investment opportunities.

Young Professional magazine would be a good advertising outlet for online brokers because its target audience consists of recent college graduates who are in their first 10 years in a business/professional career. This demographic is likely to have a high level of education, which means they are more likely to understand and be interested in investment opportunities. Additionally, as young professionals, they are likely to have a higher disposable income and a desire to invest and grow their wealth.
According to the survey results, the majority of Young Professional subscribers are interested in personal finance and investment opportunities. This makes the magazine an ideal outlet for online brokers to advertise their services and reach potential customers. The survey also revealed that the majority of subscribers are tech-savvy and comfortable with online transactions, which makes them more likely to be interested in using online brokers for their investment needs.

Overall, the demographics and interests of Young Professional subscribers make it a good advertising outlet for online brokers. By advertising in the magazine, online brokers can reach a highly educated, tech-savvy, and financially motivated audience that is likely to be interested in their services.

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Given:

8.90ft³ for 30 balloons

Let h be the volume of helium and b be the number of balloons.

Using proportion;

b/h = 30 /8.90

Multiply both-side by h

Hence, the answer to blank 1 is the above.

when b=50, substitute for b in the above and solve for the volume (h).

That is;

Multiply both-side by 8.90/30

Hence, the answer to blank 2 is 14.83ft³.