The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

There is a 32.81% chance (0.3182) that there will be between 32647 and 43559 ants on a randomly chosen acre.

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. We may calculate the likelihood that the value of the measure exceeds X by subtracting 1 from the pvalue.

The zscore of a measure X in a set with mean and standard deviation may be calculated as follows:

Z= X-μ/σ

μ = 42000   σ= 12275

The pvalue of Z when X = 32647 is deducted from the pvalue of Z when X = 43559 to get this value. So

X = 43559

z= 0.13 has a pvalue of 0.5517

X = 32647

z=  -0.76 has a pvalue of 0.2236

0.5517 - 0.2236 = 0.3281

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

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Answer:

47

Step-by-step explanation:

The probability for tails to land is 1/2 when you flip 1 coin.

When you flip 94 times, 1/2 × 94

= 47

Answer:

6*7=42

8*6=48

6*3=18

6*12=72

6*5=30

6*9=54

10*6=60

6*6=36

6*2=12

6*11=66

4*6=24

1*6=6

6*6=36

6*7=42

6*2=12

8*6=48

Step-by-step explanation:

Answer:

42, 48, 18, 72, 30, 72, 60, 30, 18, 66, 24, 6, 30 , 6 , 42, 12 66,48,60, 30, 18, 72, 52, 24                      if this helped give  brainlest please

Step-by-step explanation:

The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Answer:-2

Step-by-step explanation:

g=-5(3)+13

=-15+13

=-2

Hope this helps

Answer:

g = -2

Step-by-step explanation:

g = -5r + 13        Substitute 3 for r into the equation

g = -5(3) + 13     Multiply in the parentheses

g = -15 + 13        Add

g = -2

Answer: Problem-solving enables us to identify and exploit opportunities in the environment and exert (some level of) control over the future. Problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations.

Answer:

25 + 9^3

Step-by-step explanation:

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:

A: It has no solution

Step-by-step explanation:

1. 3/4z - 1/4z + 3 = 2/4z + 5

2. 2/4z +3 = 2/4z + 5

3. 3 = 5 (No solution because 3 can never be equal to 5)

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

9

Step-by-step explanation:

Answer:

the answer is y= 5/2 + 4

Answer:

answer is y over c

Step-by-step explanation:

Verify each statement

1. A similarity transformation that maps one circle onto another must include a rotation.

False

2. All Circles are similar.

True

3. There is always a similarity transformation that will map one circle onto another.

True

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

y-intercept is (0,8)

c. x-intercept is (-8, 0)

Step-by-step explanation:

y=x+8

x=0

y+0=8

y=8

y=0

y=x+8

0=x+8

x=-8

The surface area of the model is 4,784 in². Option C. is the answer

Given: depth of the television = 4 inches, the height of the television = 39 inches and diagonal length = 65 inches.

From the image attached. You can find the width of the television using Pythagoras' theorem:

Width (W) = √(65²-39²)  = 52 inches

Surface area of the model = (area of back and front) + (area of left and right) + (area of top and bottom)

Let H, D and W represent the height, depth and width of the television respectively  

Surface area of the model = 2WH + 2WD + 2DH

Surface area of the model = 2×52×39 + 2×52×4 + 2×4×39

Surface area of the model = 4056 + 416 + 312

Surface area of the model = 4,784 in²

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Answer: 4,784 in2

Step-by-step explanation: CORRECT ON EDMENTUM

The equation is  \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)  Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:

\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)

Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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Answer:

B

Step-by-step explanation:

According to the leg opposite to 30 degree theorem, the leg opposite to the 30 degree angle is half the length of the hypotenuse. The measurements would be 4, x, 8

We can now use pythagorean theorem.

\(8^2-4^2=x^2\)

\(x^2=64-16\)

\(x^2=48\)

\(x=\sqrt{48}\) which is \(\sqrt{16*3}\) which is just \(4\sqrt{3}\)

The answer is B

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{8}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 8\(\sqrt{3}\) ( divide both sides by 2 )

x = 4\(\sqrt{3}\) → B

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

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

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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The surface integral for the given solid bounded by the given cylinder and planes is 486π.

Here, we are given a function f as follows-

\(f(x, y, z) = x^{4}i -x^{3} z^{2}j + 4xy^{2} z k\\\)

\(f = 4x^{3} + 4xy^{2} = 4x(x^{2} + y^{2} )\)

Now by the divergence theorem, we have -

\(\int\limits_ {} \, \int\limits_S {f} .\, ds = 4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV\)

here S is the boundary of the region S.

Now, we convert to cylindrical coordinates by taking -

x = u cos v

y = u sin v

and z = z

such that -

dV = u du dv dz

Then the integral becomes as follows -

\(4 \int\limits \, \int\limits \, \int\limits_R {x(x^{2} +y^{2}) } \, dV = 4 \int\limits \, \int\limits \, \int\limits_R ucosv((ucosv)^{2} +(usinv)^{2} )u dz du dv\)

= \(4 \int\limits \, \int\limits \, \int\limits_R (u^{4} cosv) dz du dv\)

Solving the above expression for the given interval values we get the following value -

486π

Thus, the surface integral for the given solid bounded by the given cylinder and planes is 486π.

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Answer: It would be that first one

Step-by-step explanation:

Cool I do flvs to

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

In this question, we have been given a trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).

a. We need to dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.

The scale factor is 1/3

so, the coordinates of the image would be,

F' = 1/3 (-9, 6)

   = (-3, 2),

G' = 1/3(-6, 9)

    = (-2, 3),

H' = 1/3 (−3, 9)

    = (-1, 3),

and I' = 1/3 (0, 6)

         = (0, 2)

b. We know that a dilation is a geometric transformation that either enlarges or reduces a figure in size.

As we know, if the scale factor is between 0 to 1 then the image is reduction and if the scale factor is greater than 1 then the image is enlargement.

Here, scale factor is 1/3 which is 0 < 1/3 < 1

So, in this case the dilation is reduction.

Therefore, a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

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