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The next number in the pattern is 42 plus 8, so it is 50.

Here we have tthe sequence:

20, 22, 26, 42,

We can see that first we add 2, then we add 4, then we add 6, then the next number is 42 pplus 8, it gives:

42 + 8 = 50

That is the next number in the pattern.

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The values of the expression are given by the inequality below:

11/3 < 5/x + 2 < 9/2

Here we want to find the possible values of the expression:

5/x + 2

Where we have the restriction:

2 < x < 3

Notice that x is on the denominator, so when x takes the largest value x = 3, we will have a lower bound for the expression:

5/3 + 2 = 5/3 + 6/3 = 11/3

When x takes the smallest value, we will get the upper bound:

5/2 + 2 = 5/2 + 4/2 = 9/2

Then the possible values of the expression are:

11/3 < 5/x + 2 < 9/2

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The marginal density g(v) of Y can be found by integrating the joint density function f(x,y) over all possible values of X for a fixed value v of Y.

g(v) = ∫f(x,v) dx

The joint density function f(x,y) = 15y for \(x^{2}\) ≤ y ≤ x, and 0 otherwise.

So, for a fixed value v of Y, the range of possible values of X is from \(-\sqrt{v}\) to v.

by simplifying expression,

\(g(v) = 15v - 15v^{\frac{3}{2} }\)

So, the expression for the marginal density of Y is \(g(v) = 15v - 15v^{\frac{3}{2} }\) for v in the range from 0 to 1.

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Answer:the answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The special apr financing would initially offer the lowest monthly payment. The correct answer is the first option.

The monthly payment offered by "special APR financing" is likely to be the lowest among the options given. The "special APR financing" generally refers to a promotional interest rate offered by the dealership or the manufacturer, which can result in lower monthly payments. However, the total cost of the vehicle over the life of the loan could be higher compared to the other options.

It's always best to consider the total cost of the vehicle and compare the options based on the interest rate, loan term, down payment, and any additional fees before making a final decision.

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Answer:

\(19^{z-y}\)

Step-by-step explanation:

assuming you meant z > y

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\) ( m > n ) , then

\(\frac{19^{z} }{19^{y} }\) = \(19^{z-y}\)

Answer:

\(f^{-1}(x)=6x - 5\)

Step-by-step explanation:

Invert the operations done onto x and their order:

f(x)                     |      f^-1(x)

add 5                |      subtract 5

divide by 6       |      multiply by 6

f(x) = (x + 5) / 6

f^-1(x) = 6x - 5

Answer: - 84/3

Step-by-step explanation: hope this helps!

Answer:

-83/4

Step-by-step explanation:

Cause

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The first two terms have a common factor of x. Taking that out gives ...

  (x² +5x -2) ÷ (x +5)

  = (x(x +5) -2) ÷ (x +5)

  = x -2/(x +5)

The remainder is -2.

_____

The remainder can also be found by evaluating (x² +5x -2) for x = -5:

  (-5)² +5(-5) -2 = 25 -25 -2 = -2

The remainder is -2.

The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A

four and seven tenths repeating

= 4.77777777

negative four and eight ninths

= -4 8/9

= -4.888888888888888

490%

= 490/100

= 4.9

−4.9

Rearranging from least to greatest (ascending order)

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Answer:

a

Step-by-step explanation:

hopethishelps

To find the probability that a student gets at most 4 correct answers when guessing on all 12 multiple-choice questions, we can use the binomial probability formula.

The probability of guessing a correct answer on a single question is 1/4 since there are 4 choices for each question.

Now, let's calculate the probability of getting exactly 0, 1, 2, 3, or 4 correct answers and sum them up to find the probability of getting at most 4 correct answers.

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial probability formula, where n is the number of trials (12 questions) and p is the probability of success (1/4):

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

Let's calculate each individual probability and sum them up:

P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= C(12, 0) * (1/4)^0 * (3/4)^12 + C(12, 1) * (1/4)^1 * (3/4)^11 + C(12, 2) * (1/4)^2 * (3/4)^10 + C(12, 3) * (1/4)^3 * (3/4)^9 + C(12, 4) * (1/4)^4 * (3/4)^8

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The weights of newborn infants at a certain hospital are considered continuous variables. Continuous variables can take on any value within a certain range.

In the case of newborn infant weights, the weight can be measured with precision to any decimal point, allowing for a continuous scale of measurement.

Unlike discrete variables, which have specific distinct values, such as whole numbers, the weight of newborn infants can vary continuously. Infants can have weights such as 2.567 pounds, 5.342 pounds, or any value in between.

Therefore, the weights of newborn infants at a certain hospital are classified as continuous variables due to their ability to vary continuously within a given range.

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The shortest distance ladder that will reach from the ground, over the fence (4 ft tall) to the wall of the building (2 ft away) is 8.04 ft long.

The first step is to calculate the total height that needs to be reached by the ladder. The height of the fence (4 ft) is added to the distance between the fence and the wall of the building (2 ft). This gives a total height of 6 ft.Next, the length of the ladder is calculated using the Pythagorean theorem, which states that a2 + b2 = c2. The equation is rearranged to solve for c, the length of the ladder. In this case, a is equal to the height (6 ft) and b is equal to half the height (3 ft). This gives a result of c = 8.24 ft. This result is rounded to the nearest hundredth, giving a final result of 8.04 ft.

a2 + b2 = c2

62 + 32 = c2

36 + 9 = c2

45 = c2

√45 = c

c = 6.708 ft (rounded to 8.04 ft)

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Answer:

\( \sqrt{11} \)

Step-by-step explanation:

c2=a2+b2

that's how

The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The Correct graph is fourth one !

Answer:

Step-by-step explanation:

QUESTION :

m = (-3--1)/(-5-6) = 2/11

LAST ONE :

m = (-3--1)/(5--6) = -2/11

WITH THE REFLECTION OF F(X) , NORMALLY THE X-INTERCEPTS OF THE REFLECTED VALUE REMAIN THE SAME BUT CHANGE SIGNS. THE Y-INTERCEPTS DON'T CHANGE INCLUDINGVTHE SIGNS.

Step-by-step explanation:

3a+2b=41

(3a+$2)+2b=41

3(7+2)=41-2(7)

3×9=41-14

27=27

a=9

b=7

Answer:

It cost 30$

Step-by-step explanation:

Since 50% is 1/2 we put 80/2

so we have 40

25% is 1/4 we put 40/4=10 40-10=30

so the answer is 30

Answer:

try finding slope

Step-by-step explanation:

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

Answer:

200

Step-by-step explanation:

20*10=200

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer: x=50

how?

\(\frac{x}{2}\) - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:

\(\frac{x}{2}\)=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)

25 x 2= 50

therefor the x=50

Initially, the tank contains 60 kg of salt, calculated by multiplying the salt concentration (0.06 kg/L) by the water volume (1000 L).

In the given scenario, the tank starts with a known salt concentration and water volume. By multiplying the concentration (0.06 kg/L) with the water volume (1000 L), we find that the initial amount of salt in the tank is 60 kg.

After 4.5 hours, considering the rate of water entering and leaving the tank, the net increase in solution volume is 810 L. Multiplying this by the initial concentration (0.06 kg/L), we determine that the amount of salt in the tank after 4.5 hours is 48.6 kg.

As time approaches infinity, with a constant inflow and outflow of solution, the concentration of salt in the tank stabilizes at the initial concentration of 0.06 kg/L.

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Step-by-step explanation:

2x+3y=13..........(I)

2x-3y=5.….........(II)

Subtract equation II from equation I

0+6y=8

6y=8

y=8/6=4/3

Substitute 4/3 for y in 2x-3y=5

2x-3×(4/3)=5

2x-4=5

Collect like terms

2x=4+5

2x=9

x=9/2

Therefore,y=4/3,x=9/2

Answer:

The awnser to this equation is 120 cents

The cost of using a 200-watt television for 30 days, turned on for 2 hours per day, would be $1.20.  

To calculate the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour, we need to find the total energy consumption and then multiply it by the cost per kilowatt-hour.

First, let's find the total energy consumption:

1. Daily energy usage: 200 watts * 2 hours = 400 watt-hours
2. Monthly energy usage: 400 watt-hours * 30 days = 12,000 watt-hours

Now, we need to convert watt-hours to kilowatt-hours:
3. Monthly energy usage in kilowatt-hours: 12,000 watt-hours / 1,000 = 12 kWh

Finally, let's calculate the cost:
4. Cost of using the television for 30 days: 12 kWh * 10 cents per kWh = 120 cents

So, the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour is 120 cents.

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As a result, in the parallelogram before, x = 4, Angle E = 104 degrees, and Angle EFH = 32 degrees.

1. Opposing sides are congruent sides. ...

2. Opposing angles are congruent angles. ...

3. Interior angles that follow one another on the same side are supplementary. ...

4.Each of a parallelogram's diagonals divides it into two congruent triangles. ...

5. The diagonals of a parallelogram split in half.

As a result,

EH and FG's sides are parallel and equal.

so 3x=12

x=4

to determine Angle E

FGH Triangle

Angles FHG + HFG + G add up to 180.

(The total of a triangle's angles is 180)

FHG angle=180-44+104

                 =32

Angles EFH = FHG (alternate interior angles)

                    =32

Angle HFG = Angle EHF (alternate interior angles)

                   =44

Angle E=Angle HGF( opposite angles are equal in a parallelogram)

            =104

Therefore the value of x in the given quadrilateral is 4 , the angle E is 104 degree and the value of Angle EFH is 32 degree.

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