Look at the diagram. C F 36⁰ Solve for[x. (5x + 17)° 128⁰ Which equation can be used to solve for x? 22x + 36 = 128 5x − 19 = 128 E D 5x + 53 = 128 22x 36 128 Video​

Answer:

D

Step-by-step explanation:

the slope =

\( \frac{0 - ( - 2)}{5 - 0} = \frac{2}{5} \)

y =mx+b

m = slope

when x = 0 , y = -2

y =(2x/5)-2

x =(2y/5)-2

x+2 = (2y/5)

5x+10 = 2y

y =(5x/2)+5 = g-1(x)

The required value of x in the proportion of the line is 9.

Given that,
B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36

To determine the value of x in the proportion of line.

A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.

Here,
B is the point lies between A and C on line segment AC

So,
AC = AB + BC
AB +  BC = 36
x + 2 + 2x + 7 = 36
3x + 9 = 36
3x = 27
x = 27 / 3
x = 9

Thus, the required value of x in the proportion of the line is 9.

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The set of real numbers includes both rational and irrational numbers.


1. Real numbers: Real numbers include all rational and irrational numbers. They can be represented on a number line and are not limited to whole numbers or integers.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not equal to 0. For example, 3/4, -2/5, and 0.6 are all rational numbers.

3. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written in the form a/b. Examples of irrational numbers include √2, π (pi), and e.

Therefore, the set of real numbers includes both rational and irrational numbers.

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Answer:

x>9/5

Step-by-step explanation:

2/3x-1/5(+1/5)>1(+1/5)

[add 1/5 on both sides]

2/3x (÷3/2)>6/5 (÷3/2)

[flip 2/3 to 3/2 so that they cancel out]

x>9/5

The PDF of W = X², if X has an exponential distribution with parameter λ, is equal to fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0 and fW(w) = 0 for w < 0.

To find the probability density function (PDF) of the random variable W = X² when X has an exponential distribution with parameter λ,

Apply a transformation to the original PDF.

Let us denote the PDF of X as fX(x) and the PDF of W as fW(w). We want to find fW(w).

To begin, let us express W in terms of X,

W = X²

Now, find the PDF of W, which is the derivative of the cumulative distribution function (CDF) of W.

So, find the CDF of W first.

The CDF of W is ,

FW(w) = P(W ≤ w)

Substituting W = X², we have,

FW(w) = P(X² ≤ w)

To determine the probability of X² being less than or equal to w,

consider that X can take on both positive and negative values.

So,  split the calculation into two cases,

First case,

X ≥ 0

In this case, X² ≤ w implies X ≤ √w, since X is non-negative.

Thus, we have,

FW(w) = P(X² ≤ w) = P(X ≤ √w)

Since X has an exponential distribution, its CDF is given by,

FX(x) = 1 -\(e^{(-\lambda x)}\)  for x ≥ 0

for the case X ≥ 0, we have,

FW(w) = P(X ≤ √w) = FX(√w) = 1 -\(e^{(-\lambda \sqrt{w} )}\)

Second case,

X < 0

X² ≤ w implies X ≤ -√w, since X is negative.

However, for X < 0, X² is always non-negative.

The probability is always 0 in this case.

Combining both cases, we can write the CDF of W as,

FW(w) = 1 - \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

FW(w) = 0 for w < 0

Finally, to find the PDF fW(w), we take the derivative of the CDF with respect to w,

fW(w) = d/dw [FW(w)]

Differentiating, we have,

fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

fW(w) = 0 for w < 0

Therefore, the PDF of W = X², when X has an exponential distribution with parameter λ, is given by,

fW(w) = (1/2)λ√w × \(e^{(-\lambda \sqrt{w} )}\) for w ≥ 0

fW(w) = 0 for w < 0

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The above question is incomplete, the complete question is:

If X has an exponential (λ) PDF, what is the PDF of W = X² ?

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Answer: B

Step-by-step explanation: The answer would be B because both the 8x and 22x are both negative so once you add those two together you would get -30x so that cancels out A and C. SO now you move onto 23 and 9 well both of those are positive so you would add those together and get 32 so that cancels out D and only answer left is B

The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 , where x = -5.

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

The given equation is,

-8x + 23 – 22x + 9 = 182

Taking alike terms together we get,

-8x – 22x + 23 + 9 = 182

Solving we get,

– 30x + 32 = 182

Subtracting 32 both the side we get,

– 30x + 32 - 32 = 182 - 32

Solving we get,

– 30x = 150

⇒ x = -5

Thus, The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 where, x = -5.

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To graph the inequality 2y - 4x < 8, we can start by isolating the y variable on one side of the inequality. To do this, we add 4x to both sides:

An explanation graph is what?

A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.

2y - 4x < 8

2y < 4x + 8

Next, we divide both sides by 2 to get y by itself:

y < 2x + 4

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = 2(0) + 4 = 4, so the y-intercept is (0, 4). Next, we can find the slope of the line, which is -2.

To graph the inequality -4y > -x + 12, we can start by isolating the y variable on one side of the inequality. To do this, we add x to both sides:

-4y > 12 - x

Next, we divide both sides by -4 to get y by itself:

y < -3 + (1/4)x

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = -3 + (1/4)(0) = -3, so the y-intercept is (0, -3). Next, we can find the slope of the line, which is (1/4).

The equation | x + 3 |= y represent a vertical line with x = -3

The equation |2x – 6| + 2 = y represent a V shape with the vertex at (-3,2)

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Answer:7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

7

Answer:

72

Step-by-step explanation:

if you subtract 4 each time then it would look like:

202-4=198

198-4=194

etc. ...

76-4=72

x=3

y=-1

I got my answer using  process of elimination.

Answer:

x = 3, y = - 1

Step-by-step explanation:

2x + y = 5 → (1)

4x + 3y = 9 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 4x - 2y = - 10 → (3)

Add (2) and (3) term by term to eliminate x

0 + y = - 1

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 3 )

x = 3

Answer: B)a + o = 72 a = o + 8

Step-by-step explanation: hopes this helps:))

Answer:

v=53 degrees

Step-by-step explanation:

So since 180 degrees in tri, v-23+2v+v-9=180

Plus 23 and 9: 4v=212

v=53 degrees

The given polynomial has seven terms.

It should be noted that to count the number of terms in a polynomial, we need to identify each individual term, which are separated by plus or minus signs.

In this case, we can write the polynomial as:

-10x^6 - 2x^5 + 7x^3 - 9x^2 + 4x^1 + 5.5x^1 - 1

The individual terms are:

-10x^6, -2x^5, 7x^3, -9x^2, 4x^1, 5.5x^1, -1

There are seven terms in total.

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Answer: The median is 5

Step-by-step explanation:

3,3,4,5,6,7,10 the middle number is 10

Answer:

5

Step-by-step explanation:

Put the numbers in order

3, 3, 4, 5, 6, 7, 10

we have an odd amount of numbers in this data set SO we have one number in the middle which is 5.

If you hold up 7 fingers, the finger to make 3 on both sides would be the 4th.

Answer:

6x²

Step-by-step explanation:

\(\sqrt{36x^{4} }\)

= \(\sqrt{36}\) × \(\sqrt{x^{4} }\)

= 6 × x²

= 6x²

The square root of the monomial \(36x^4\) is 6x².

When you extract a square root and the result is exact, you have a perfect square. A definition says that a perfect square is the result of a multiplication of a whole number by itself.

Then for solving this question, you should extract a square root for \(36x^4.\)

\(\sqrt{36x^4}=6x^2\), you can check 6x² * 6x²=\(36x^4.\)

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Answer:

y = 0.835x + 3.58

Step-by-step explanation:

Answer:

It depends on the size of the fish tank, so this question cannot be properly answered.

Answer:It depends I can give a ratio

Step-by-step explanation:

If one tank needs 45 gallons of water and another needs 30 you will need 75 gallons of water. If your using pints or quarts you can find converter calculators

A mixed fraction is a combination of a whole number and a fraction.

Combining a whole number and a fraction results in a mixed fraction. You can use the following steps to change a mixed fraction into an improper fraction (a fraction where the numerator is higher than the denominator):

Multiply the whole number by the denominator of the fraction. Add the result of step 1 to the numerator.

Write the sum from step 2 as the numerator of the new fraction, and keep the denominator the same.

Simplify the resulting fraction, if possible.

For example, let's say we want to convert the mixed fraction \(3\dfrac{1}{2}\) to an improper fraction:

3 x 2 = 6

6 + 1 = 7

Therefore, \(3\dfrac{1}{2}\) is equivalent to \(\dfrac{7}{2}\).

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The average speed of the hiker's hike can be calculated by dividing the total distance covered by the time taken. In this case, the hiker covered a distance of 20 miles in 5 hours.

To find the average speed, we divide the total distance by the time:

Average speed = Total distance / Time taken

Substituting the values, we have:

Average speed = 20 miles / 5 hours

Simplifying the equation, we get:

Average speed = 4 miles per hour

Therefore, the average speed of the hiker's hike was 4 miles per hour. This means that on average, the hiker covered a distance of 4 miles for every hour spent hiking. The average speed gives us an indication of how quickly the hiker was able to cover the distance.

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Based on the definition of similar quadrilaterals, the measure of side MN is: 14.1 units.

If two quadrilaterals are similar to each other, then the measure of their corresponding sides will have a ratio that is equal. This means they will have proportional side measures.

Since we are told that quadrilaterals GHIJ and KLMN are similar to each other, then their corresponding sides will have measures that are proportional to each other.

Therefore:

IJ/MN = GJ/KN

IJ = 35

MN = ?

GJ = 52

KN = 21

Substitute:

35/MN = 52/21

Cross multiply:

MN(52) = (35)(21)

MN(52) = 735

MN = 735/52

MN = 14.1 units

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Answer:

90%

Step-by-step explanation:

De la pregunta anterior, se nos ha dado la fracción de razas alienígenas que piensan que invadir la Tierra es una mala idea, que es = 9/10

El porcentaje se calcula como:

9/10 × 100

= 90%

Por lo tanto, el porcentaje de razas alienígenas que piensan que invadir la Tierra es una mala idea es del 90%.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

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The velocity of a particle. P. moving along the x-axis is given by the differentiable function v, where (t) is measured is given by:

A differential function v gives the velocity of a particle P travelling down the x-axis, where v(t) is measured in metres per hour and t is measured in hours. v(t) is a declining function that is continuous. The table below shows several examples of v(t) values.

T [hours]                   0           2      4           7      10

v(t) [meters/hour] 20.3 14.4     10  7.3       5

a) We know that the particle's displacement is the area under the curve v(t). We can calculate the particle's displacement by integrating v(t). Because v(t) is a monotonous (constantly declining) differentiable function, it is also Riemann Integrable. There are now five non-uniform subdivisions:

Partition                     t0   t1 t2 t3 t4

T [hours]                      0           2 4 7 10

v(t) [meters/hour]   20.3 14.4 10 7.3 5

Using Right Riemann sum to approximate the displacement of particle between 0 hr and 10 hr is given by:

\(\sum_{n=1}^{4}v(t_n)\Delta t_n=v(t_1)(t_1-t_0)+v(t_2)(t_2-t_1)+v(t_3)(t_3-t_2)+v(t_4)(t_4-t_3) \\=(14.4)(2)+(10)(2)+(7.3)(3)+(5)(3) \\=28.8+20+21.9+15 \\=85.7\)

Therefore, the total displacement between 0 hr and 10 hr is is 85.7 meters.

The estimated position of particle P at time t = 10 hour is 115.7 (= 30 +85.7) meters.

b) Because the function v(t) is decreasing and we are estimating the integral using the Right Riemann sum, the approximation in part(a) underestimates the displacement.

c) A second particle Q also moves along the x-axis so that its velocity is given by :

\(V_Q(t)=35\sqrt{t}\cos(0.06t^2)\text{ meters per hour for }0\leq t\leq 10.\)

Hence, the time interval during which the velocity of a particle is atleast 60 meters per hour is [9.404, 10].

Now, the time periods during which a particle's velocity is at least 40 metres per hour are [1.321,4.006] and [9.218, 10]. The distance travelled by the particle Q when its velocity is at least 40 metres per hour is then calculated. :

\(\int_{1.321}^{4.006}v_Q(t)dt+\int_{9.218}^{10}v_Q(t)dt\\\\=\int_{1.321}^{4.006}35\sqrt{t}\cos(0.06t^2)dt+\int_{9.218}^{10}35\sqrt{t}\cos(0.06t^2)dt\)

d) At time t = 0, particle Q is is at position x = -90.

We know that P is at xp =  115.7 meters.

Now, The position of Q at t = 10 hr is xq:

\(x_q=-90+\int_{0}^{10}v_Q(t)dt=-90+\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt\)

And the distance between Q and P is given by :

\(|x_p-x_q|=|115.7-(-90+\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt)|\)

               \(\\=|205.7-\int_{0}^{10}35\sqrt{t}\cos(0.06t^2)dt|\)

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The probability that exactly 5 out of 20 players will win a gift card by flipping 3 fair coins each is approximately 0.0260. The probability that between 4 and 6 players will win a gift card is approximately 0.0902.

To find the probability of each scenario, we can use the binomial distribution. In this case, we have 20 players, and each player has a 50% chance of winning a gift card (since there are two favorable outcomes out of four possible outcomes when flipping three coins). The probability of exactly 5 players winning a gift card can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * \(p^k\)* \((1 - p)^{n - k}\),

where P(X = k) is the probability of exactly k successes, n is the number of trials, p is the probability of success, and C(n, k) is the binomial coefficient.

For the first scenario, the probability of exactly 5 players winning is:

P(X = 5) = C(20, 5) * \((0.5)^5\)* \((0.5)^{20 - 5}\) ≈ 0.0260.

Similarly, to find the probability of between 4 and 6 players winning a gift card, we can calculate the sum of probabilities for each possible value from 4 to 6:

P(4 ≤ X ≤ 6) = P(X = 4) + P(X = 5) + P(X = 6),

where P(X = k) is calculated as mentioned before. Substituting the values, we get:

P(4 ≤ X ≤ 6) ≈ 0.0017 + 0.0260 + 0.0625 ≈ 0.0902.

Therefore, the probability that exactly 5 players will win a gift card is approximately 0.0260, and the probability that between 4 and 6 players will win a gift card is approximately 0.0902.

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Answer:

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20