PLEASE HELP :))

A sequence can be generated by using an=3an-1 , where a1 = 8 and n is a whole number greater than 1. What are the first four terms in the sequence?​

Answer: It is point B

Step-by-step explanation:

Answer: point b

Step-by-step explanation:

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Answer:

38.89%

Step-by-step explanation:

the whole p8e chart is 360° as a perfect circle would be,

so : 360° - ( 66° + 144° ) = 360° - 210° = 140°

140° of the pie chart was cast in favor of candidat C.

(140° ÷ 360°) × 100 = 38.89%

The Lockheed Martin X-35 was a concept demonstrator aircraft (CDA) developed by Lockheed Martin for the Joint Strike Fighter program. The X-35 was declared winner over the competing Boeing X-32 and a developed, armed version went on to enter production in the early 21st century as the F-35 Lightning II.

Answer:

The first step is 24 divided by 6 ..... (4)

The second step is 4 x 2 ...... (8)

Step-by-step explanation:

65(30-24 divided by 6 x 2)

65(30- 4 x 2)

65(30 - 8)

65(22)

1,430

The measure of the angles of the triangle DEF will be 38.38°, 61.76°, and 79.86°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

By the definition of the triangle, the equation is given as,

2x + 11 + 4x + 7 + 7x - 3 = 180

13x + 15 = 180

13x = 165

x = 13.69

2x + 11 = 2 * 13.69 + 11 = 38.38°

4x + 7 = 4 * 13.69 + 7 = 61.76°

7x - 3 = 7 * 13.69 - 3 = 79.86°

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Using classical probability, we found that the chance of one minority candidate getting hired is 2/5.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. The degree to which something is likely to happen is basically what probability means.

Given,

  Number of total candidates = 5

Number of candidates from minority = 2

a) Probability that one of the minority candidates is hired

= number of favourable events/total events = 2/5

b) Classical probability is used.

   This is because since the candidates are selected by lottery, each candidate has an equal chance of getting selected. So the classical probability is used.

Therefore using classical probability, we found that the chances of one minority candidate getting hired is 2/5.

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Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.

It states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard error \(s = \frac{\sigma}{\sqrt{n}}\).

A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.

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Answer:

This is my answer:The second one is better. the entire drama club one was better because the sample is large enough .It also comes from a bigger and more varied group of students thus it is less likely to be biased.

Step-by-step explanation:

Edge test and I got it right :D

Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

Answer:

y = -2x - 5

Step-by-step explanation:

y = is a standard for any equation, as is the use of x as a variable, unless something else is specified.

-2x is the way to denote a slope of -2, and -5 gives you the y-intercept of 5. One point on this line would be (0, -5).

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

To calculate the monthly payment, we can use the formula for amortization. The formula is: PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1), Where: PMT = Monthly payment, P = Principal amount (amount to be financed), r = Monthly interest rate (annual interest rate divided by 12), n = Number of monthly payments (the number of years multiplied by 12)

From the given information, the principal amount (P) is $9,500, the annual interest rate is 6%, and the loan term is 4 years. First, we need to calculate the monthly interest rate (r): r = 6% / 12 = 0.06 / 12 = 0.005. Next, we need to calculate the number of monthly payments (n): n = 4 years * 12 months/year = 48 months. Now we can plug these values into the formula: PMT = ($9,500 * 0.005 * (1 + 0.005)^48) / ((1 + 0.005)^48 - 1).

Using a calculator or spreadsheet, we can calculate the value of PMT. The monthly payment comes out to be approximately $219.37. Therefore, the monthly payment on a new car loan of $9,500 with an interest rate of 6% for 4 years would be approximately $219.37.

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The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Let x be the cost of one rose bush and y be the cost of one carnation.

Then we have the system of equations:

x * 9 + y * 12 = 210

x * 3 + y * 1 = 40

To determine the method that is most efficient to solve this system, we can use the fact that one of the equations has already solved for one of the variables, y.

We can use substitution to solve for the other variable, x.

Substitute y = (40 - 3x) into the first equation:

x * 9 + (40 - 3x) * 12 = 210

Simplify:

x * 9 + 480 - 36x = 210

Solve for x:

9x - 36x = 210 - 480

-27x = -270

x = 10

Substitute x = 10 into the second equation:

10 * 3 + y = 40

Solve for y:

y = 10

Therefore, one rose bush costs $10 and one carnation costs $10.

The most efficient method to solve the system was substitution, since one of the equations already solved for one of the variables.

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Approximately 27.13 grams of the substance will remain in the year 2030.

To find out how much of the radioactive element will remain in the year 2030, we can use an exponential decay model. The equation to model the decay is:

Amount remaining = Initial amount × (1 - Decay rate)^Number of years

In this case, the initial amount is 30 grams, the decay rate is 1.25% or 0.0125, and the number of years is 2030 - 2020 = 10. Substituting these values into the equation, we can calculate the amount remaining.

Amount remaining = 30 grams × (1 - 0.0125)^10

Simplifying the equation, we get:

Amount remaining = 30 grams × (0.9875)^10

Calculating the value, we find:

Amount remaining ≈ 27.13 grams

Therefore, approximately 27.13 grams of the substance will remain in the year 2030.

In more detail:

The decay of a radioactive element can be modeled using an exponential decay equation. In this case, the decay rate is given as 1.25% annually, which can be expressed as a decimal value of 0.0125.

The equation to model the decay is:

Amount remaining = Initial amount × (1 - Decay rate)^Number of years

We are given that the initial amount of the radioactive element is 30 grams, and we need to determine the amount remaining in the year 2030, which is 10 years after 2020.

Substituting the values into the equation, we have:

Amount remaining = 30 grams × (1 - 0.0125)^10

Simplifying further, we get:

Amount remaining = 30 grams × (0.9875)^10

Now we can calculate the value using a calculator or by hand:

Amount remaining ≈ 27.13 grams

Therefore, approximately 27.13 grams of the substance will remain in the year 2030.

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Answer: Option 2

Step-by-step explanation:

The vertex must have a y-coordinate of 5, so eliminate options 3 and 4.

Also, since there must be a maximum, the coefficient of \(x^2\) must be negative. So, eliminate option 1.

This leaves us with option 2.

Answer:

5. 11.25 mi/hr

6. 24 hours

Step-by-step explanation:

5. The return trip at 9 mph took 5 hours.  So the distance is 45 miles.

The total distance traveled is therefore 90 miles, and the total time is 3 + 5 = 8 hours.

The average speed is distance divided by time, or (90 mi) / (8 hr) = 11.25 mi/hr

6. If t is the time it takes driving there, then t−4 is the time it takes to drive back.

Distance = speed × time, so the forward trip is 25t miles, and the return trip is 30(t−4) miles.  These distance are equal, so:

25t = 30(t−4)

25t = 30t − 120

120 = 5t

t = 24

Answer:

Step-by-step explanation:

First, find the value for x on the x-axis. ...

Next, find the y-value - in this case, y=1100, so find 1100 on the y-axis. ...

Your point should be plotted at the intersection of x=0 and y=1100. ...

Finally, plot the point on your graph at the appropriate spot

More Steps

Step 1: Identify the variables. ...

Step 2: Determine the variable range. ...

Step 3: Determine the scale of the graph. ...

Step 4: Number and label each axis and title the graph.

Step 5: Determine the data points and plot on the graph. ...

Step 6: Draw the graph.

Final

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Have a good day :) Hope this helped!

Answer: \(- \frac{62}{5}\)

Convert the decimal number into a fraction

Multiply by 10

\((- \frac{12.40}{1} ) (\frac{10}{10})\)

\(- \frac{124}{10}\)

Divide the fraction by 2

\(- \frac{62}{5}\)

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

Answer:

f(-3) = 26

Step-by-step explanation:

f(x) = x^2 + x + 20

plug -3 in for x

f(-3) = (-3)^2 - 3 + 20

f(-3) = 9 - 3 + 20

f(-3) = 26

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

Step-by-step explanation:

the standard deviation \(\sqrt{} \frac{(x)^{2} }{N-1}\) = 3.4

The standard deviation of the prices for the five items you bought is approximately $1.64.

To calculate the standard deviation, we first need to find the mean of the prices. Adding up the prices ($8 + $6 + $6 + $5 + $9) gives us a total of $34. Dividing this sum by the number of items (5) gives us the mean, which is $6.80.

Next, we calculate the deviation of each price from the mean. For each price, we subtract the mean ($6.80) and square the result. The deviations squared are: \(($8 - $6.80)^2 = $1.44, ($6 - $6.80)^2 = $0.64, ($6 - $6.80)^2 = $0.64, ($5 - $6.80)^2 = $3.24, and ($9 - $6.80)^2 = $4.84.\)

To find the variance, we sum up these squared deviations: $1.44 + $0.64 + $0.64 + $3.24 + $4.84 = $10.80.

Finally, to get the standard deviation, we take the square root of the variance. In this case, the square root of $10.80 is approximately $3.29. However, it's important to note that when rounding to two decimal places, the standard deviation becomes approximately $1.64. This value represents the average amount by which the prices deviate from the mean, providing a measure of the dispersion or variability in the prices of the items you purchased.

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Answer:

perimeter of the figure =32 units

area of the figure=56 units²

To tell if a function is convergent or divergent, you need to check the behavior of the function as the input values get larger. Here are the steps to determine whether a function is convergent or divergent:

Step 1: Find the limit of the function. Evaluate the function as the input values get larger, approaching infinity. If the limit exists and is a finite number, the function is convergent. If the limit does not exist or approaches infinity, the function is divergent.

Step 2: Test for convergence using the divergence test. If the limit of the function as the input values approach infinity is zero or does not exist, the series may be divergent. In this case, you need to use the divergence test. If the series diverges, the function is divergent. If the series converges, the test is inconclusive.

Step 3: Test for convergence using the integral test. If the function is positive, continuous, and decreasing, you can use the integral test to determine convergence. If the integral converges, the series is convergent. If the integral diverges, the series is divergent.

Step 4: Test for convergence using comparison tests. If the function can be compared to another function, you can use comparison tests to determine convergence. If the other function is convergent, the original function is convergent. If the other function is divergent, the original function is divergent.

Step 5: Test for convergence using the ratio test. If the limit of the ratio of consecutive terms is less than 1, the series is absolutely convergent. If the limit is greater than 1, the series is divergent.

If the limit is equal to 1, the test is inconclusive.In summary, determining if a function is convergent or divergent requires checking the behavior of the function as the input values get larger and using different tests depending on the characteristics of the function.

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Answer:

It looks like you would need 8 1/5 cups of sugar to make all 48 cookies.

Step-by-step explanation:

Well, half a dozen is 6 so I did 48 divied by 6 which is 8.