Solve the Inequality
-3x-4>2

x<{?}

In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.

Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.

There are two main types of variables:

1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.

2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.

The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.

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Answer:

\(\approx 45.1\:\mathrm{w/\: some \: MOE}\)

Step-by-step explanation:

The area of \(ABCD\) is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of

Since the sum of the interior angles of a triangle add up to \(180^{\circ}\), we have:

\(\angle C=180-44-38=\fbox{$98^{\circ}$}\).

The Law of Sines is given as:

\(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\) for any triangle.

Therefore, we have the proportion:

\(\frac{\sin 98^{\circ}}{10}=\frac{\sin 44^{\circ}}{BC},\\BC=\frac{10\cdot \sin 44^{\circ}}{\sin 98^{\circ}},\\BC\approx 7.01\).

Now that we have two sides of a triangle and the angle between them, we can use \([\triangle]=\frac{1}{2}ab\sin C\)  to find the area of \(\triangle CBD\):

\([CBD]=\frac{1}{2}\cdot 10\cdot 7.01 \cdot \sin 38^{\circ},\\\\\left [CBD]\right\approx 21.58\).

Since \(\triangle ABD\) is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:

\(\sin 55^{\circ}=\frac{AB}{10},\\AB=10\sin 55^{\circ},\\AB\approx 8.19\),

\(\sin 35^{\circ}=\frac{AD}{10},\\AD=10\sin 35^{\circ},\\AD\approx 5.74\).

Therefore, the area of \(\triangle ABD\) is:

\(\frac{1}{2}\cdot 8.19\cdot 5.74\approx 23.49\).

The area of \(ABCD\) is then

\(21.58+23.49=45.07=\fbox{$45.1$}\).

\(\bigstar\) Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.

Answer:

18.44ft

Step-by-step explanation:

a²+b²=c² where c is the hypotenuse

so according to this

18²+4²=c²

c²=340

c= 18.44

The measure of ∠BCD = 117° .

Given,

Kite with measure of angles:

∠BAD = 117°

∠ADC = 55°

AB = AC

AD = CD

Now,

Connect the points B and D with a straight line.

Then in triangle BAD and triangle BDC:

ΔBAD and ΔBDC

AB = AC

AD = CD

BD = BD(common side of both triangles) .

Thus with the side - side - side congruency ΔBAD and ΔBDC are congruent to each other .

Hence,

∠BCD = ∠BAD

∠BCD = 117°.

Hence the measure of angle BCD of a kite is 117° .

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The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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Answer:

f(x) = 1/(x+2) + 7

Step-by-step explanation:

The graph depicts the line of 1/x shifted to the left by 2 and up by 7.

The trend in the boiling points of the molecules shown is primarily determined by their intermolecular forces. As the intermolecular forces between molecules increase, so does the boiling point.
Based on the information given, we need to identify statements that explain the trend in boiling points of molecules with similar or identical molecular weight. When considering boiling point trends, key factors to take into account are molecular size, polarity, and intermolecular forces.

In conclusion, Molecules with stronger intermolecular forces, such as hydrogen bonding or dipole-dipole interactions, typically have higher boiling points. Additionally, molecules with larger surface areas or more polar bonds may exhibit higher boiling points due to increased interactions between the molecules.

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a) car A is ahead of car B after 3 minutes.

b) Velocity is the shaded region.

c) the area under curve b is greater than the area under curve a.

a) The total distance  represented by the shaded region A, the area under the graph of v(t).

(c) A is a triangle, so its area is

A =1/2(base)(height)

   = 1/2(5 sec)(80 ft/s) = 200 ft

b) The meaning of area of the shaded region in this problem is: Velocity

Velocity is the directional velocity of a moving object as an indicator of the rate of change of position, observed from a certain frame of reference and measured at a certain time reference (eg 60 km/h northward).

c) The distance travelled will be represented by the area

under the velocity graph.

However,  first convert everything to meters and seconds:

320 km/h = 1000

Now,

60·60 320 m/s ≈ 88.89 m/s.

A =1/2(base)(height)

= 1/2(30 sec)(88.89 m/s) ≈ 1333.3m

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Answer:

56°

Step-by-step explanation:

1. the rule is: m(DCE)+m(DEC)+m(CDE)=180;

2. m(DCE)=180-(7x-2)=182-7x;

m(DEC)=180-(4x+33)=147-4x;

m(CDE)=180-(9x-31)=211-9x;

3. after the substitution all the angles (item 2) into the rule (item 1):

182-7x+147-4x+211-9x=180;

20x=360;

x=18;

4. if x=18, then filally, m(DCE)=182-7*18=56°.

n(p(a)) = 256

256 = 2^8

n(a) = 8

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The frequency of mice that are heterozygote is 0.3492

It is required to find the frequency.

The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Given:

Population =200 mice

Gray fur mice= 120 mice

By the use of Hardy-Weinberg equation we have,

Hardy-Weinberg equation is given by

p² + 2pq + q² = 1 and p + q = 1

where, 2pq is the heterozygote frequency.

p² = 120/200

p = 0.7746

p + q = 1

q = 0.2254

Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492

Therefore, the frequency of mice that are heterozygote is 0.3492.

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Answer:

The slope is -8 and the y-intercept is 5

Answer:

1. 8

2.3

Step-by-step explanation:

This for num 2

\( \sqrt{8} = \sqrt{2 \times 4} = 2 \sqrt{4} = 2\)

6÷2=3

1.

To solve \(\sqrt[n]{16}=2\), you need to turn the question around and ask what value of n makes \(2^n=16\).

n = 4

2.

To simplify this, your teacher could mean two things, either "just simplify the radical" or "rationalize the denominator."

For the first option, \(\sqrt{8}=\sqrt{4\cdot2}=\sqrt{4}\cdot\sqrt{2}=2\cdot\sqrt{2}\), so your overall expression becomes:

    \(\dfrac{6}{2\cdot\sqrt{2}} = \dfrac{3}{\sqrt{2}}\)

Now if your teacher also wants the denominator rationalized, then you keep going and multiply that by \(\dfrac{\sqrt{2}}{\sqrt{2}}\):

    \(\dfrac{3}{\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{3\sqrt{2}}{2}\)

\(\huge\mathcal{\fcolorbox{cyan}{black}{\pink{Answer࿐}}}\)

In a survey of 1207 American men about their current cigarette smoking habits, the population, sample, parameter, and statistic can be defined as follows:

The population in this survey refers to the entire group of interest, which in this case is all American men. It is the larger group from which the sample is drawn.

The sample is a subset of the population, consisting of the 1207 American men who were surveyed about their current cigarette smoking habits. The sample is selected from the population to gather information and make inferences about the population as a whole.

The parameter is a numerical characteristic of the population. In this case, the parameter would be the proportion of all American men who currently smoke cigarettes.

The statistic, on the other hand, is a numerical characteristic of the sample. It is calculated from the data collected in the survey and provides an estimate or summary of the population parameter.

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The total expected number of circuit boards with defects out of the 100 made is 2 times the expected number of defective batches, which is:μ = 2 * 0.5 * 2≈ 2.

a. The probability that out of 100 circuit boards made exactly 2 have defects is calculated using the binomial distribution formula:

P(X = k)

= nCk * p^k * (1-p)^(n-k)

where n

= 100, p

= 0.01, and k

= 2. Thus,

P(X = 2)

= 100C2 * (0.01)^2 * (0.99)^98≈ 0.37b.

The probability that out of 100 circuit boards made at least 2 have defects can be calculated using the complement rule

.P(X ≥ 2)

= 1 - P(X < 2)

= 1 - P(X = 0) - P(X = 1)

where n

= 100, p

= 0.01. Thus,

P(X = 0)

= 100C0 * (0.01)^0 * (0.99)^100≈ 0.366P(X = 1)

= 100C1 * (0.01)^1 * (0.99)^99≈ 0.369

Therefore

,P(X ≥ 2) ≈ 1 - 0.366 - 0.369≈ 0.265c.

The expected number of circuit boards with defects out of the 100 made is given by the formula:μ

= n * p where n

= 100 and p

= 0.01. Therefore,μ

= 100 * 0.01

= 1d.

If the circuit boards are made in batches of two, then there are 50 batches of two circuit boards each. The probability that a batch has a defect is 1%. Therefore, the probability that a batch is defect-free is 99%.a. The probability that out of 100 circuit boards (50 batches) at least 2 have defects is calculated using the binomial distribution formula:P(X ≥ 2)

= 1 - P(X < 2)

= 1 - P(X = 0) - P(X = 1)

where n

= 50, p

= 0.01. Thus,P(X = 0)

= 50C0 * (0.01)^0 * (0.99)^50≈ 0.605P(X = 1)

= 50C1 * (0.01)^1 * (0.99)^49≈ 0.324

Therefore,

P(X ≥ 2) ≈ 1 - 0.605 - 0.324≈ 0.071b.

The expected number of circuit boards with defects out of the 100 made can be calculated as follows:For each batch of two circuit boards, either both have a defect or both are defect-free. Therefore, the number of defective circuit boards in each batch follows a binomial distribution with n = 2 and p = 0.01. The expected number of defective circuit boards in each batch is given by the formula:μ = n * pwhere n

= 2 and p

= 0.01.

Therefore,

μ

= 2 * 0.01

= 0.02The expected number of defective batches out of 50 batches is given by the formula:

μ = n * pwhere

n = 50 and

p = 0.01.

Therefore,

μ = 50 * 0.01

= 0.5.

The total expected number of circuit boards with defects out of the 100 made is 2 times the expected number of defective batches, which is:

μ = 2 * 0.5 * 2≈ 2.

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Answer:

store b because the sold more candy

then store a

Answer:

1/9

Step-by-step explanation:

(3/9) * (3/9)

The expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.

An arithmetic sequence is one in which each term is produced by either increasing or decreasing the preceding number by a specific amount.

Geometric progressions: A geometric sequence is one where each phrase is produced by multiplying or dividing a certain integer by the one before it.

Harmonic patterns: If the reciprocals of every number in a sequence form an arithmetic sequence, the numbers are said to be in harmonic sequence.

To expand the series, we substitute the value of n in the given expression to get the final value.

The given series is:

\(\sum_{n=1}^{4} (3)^{n+1}\)

Substitute the value of n from 1 to 4 in the given expression.

\(\sum3^{1+1} = 9\\\\\sum3^{2+1} = 27 \\\\\sum3^{3+1} = 81 \\\\\sum3^{4+1} = 243\)

Hence, the expansion of the series sum from n equals 1 to 4 of 3 to the n plus 1 power is 9 27 81 243.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{1}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ (1)^2= (x)^2 + (x)^2\implies 1=2x^2\implies \cfrac{1}{2}=x^2\implies \sqrt{\cfrac{1}{2}}=x \\\\\\ \cfrac{1}{\sqrt{2}}=x\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}=x\implies \cfrac{\sqrt{2}}{2}=x\)

Answer:

288

Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

Answer:

He made $324.

Step-by-step explanation:

96 x 3 = 288

204 x 3 = 612

So, then 612-288 = 324

Hope this helped!

Answer:

y=-2x-6

Step-by-step explanation:

y-10=-2(x-2)

distribute

y-10=-2x+4

subtract 10 from both sides

y=-2x-6

Answer:        我不知道你好

Step-by-step explanation:

Answer:

In order to write this in scientific notation, we must move the decimal from the beginning all the way to between the 5 and the 9

Note: you can move the decimal anywhere you want but typically scientific notation will have the decimal in between the first and second digit.

Since we move the decimal 24 digits to the right, our answer will be

5.972 * 10^24

or

5.972E24

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Answer:

the answer should be x = -6

Step-by-step explanation:

-9x + 6y = 18

-9x + 6(-6) = 18

-9x - 36 = 18

-9x - 36 + 36 = 18 + 36

-9x = 54

-9x ÷ -9 = 54 ÷ -9

x = -6

Answer:

$35

Step-by-step explanation:

10% + 20% = 30%

You spent 30% of the $50 clothes and games.

You spent the rest on books.

100% - 30% = 70%

You spend 70% on books.

70% of $50 = 0.70 × $50 = $35

Answer: $35

Answer:

35

Step-by-step explanation:

x/50=70/10 cross multiply and then divide 3500 by 100 which equals 35 which would be $35 which is 70% of $50

a. The sold 35 delta strangle would generally receive more premium compared to the sold 25 delta strangle.

b. A 25 delta risk reversal for USDCAD trading at no cost suggests that the market perceives an equal probability of future directional movement in either direction.

c. It is possible for the same underlying asset and maturity to have the 35 delta risk reversal trading at 1% and the 10 delta risk reversal at -2% based on market conditions and participants' expectations.

a. The delta of an option measures its sensitivity to changes in the underlying asset's price. A higher delta indicates a higher probability of the option being in-the-money. Therefore, the sold 35 delta strangle, which has a higher delta compared to the 25 delta strangle, would generally receive more premium as it carries a higher risk.

b. A 25 delta risk reversal trading at no cost suggests that the implied volatility for call options and put options with the same delta is equal. This implies that market participants perceive an equal probability of the underlying asset moving in either direction, as the cost of protection (via put options) and speculation (via call options) is balanced.

c. It is possible for the same underlying asset and maturity to have different delta risk reversal levels due to market conditions and participants' expectations. Market dynamics, such as supply and demand for options at different strike prices, can impact the pricing of different delta risk reversals. Factors such as market sentiment, volatility expectations, and positioning by market participants can influence the pricing of options at different deltas, leading to varying levels of risk reversal.

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Answer:

1

Step-by-step explanation:

Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.