WILL GIVE BRAINIEST, Factor the common factor out of each expression

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

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Answer:

w = 124/15 = 8 4/15

Step-by-step explanation:

\(-\frac{7}{3}+\frac{1}{2}w=-\frac{9}{5}\\\\\frac{1}{2}w=\frac{62}{15}\\\\w=\frac{124}{15}=8\frac{4}{15}\)

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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The solution is

a) The number is 6

b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

a)

Let the equation be represented as A

Now , the value of A is

Let the number be = n

A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18

Substituting the values in the equation , we get

2/5 ( n + 24 ) = 5n - 18

On simplifying the equation , we get

Multiply by 5 on both sides of the equation , we get

2 ( n + 24 ) = 25n - 90

2n + 48 = 25n - 90

Subtracting 2n on both sides of the equation , we get

23n - 90 = 48

Adding 90 on both sides of the equation , we get

23n = 138

Divide by 23 on both sides of the equation , we get

n = 6

Therefore , the number is 6

b)

The equation of parabola is given as

y = x² + 4x + 96

Now , the equation can be simplified as

y = (x + 2)² + 92

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Substituting the values in the equation , we get

The vertex of the parabola is P ( -2 , 92 )

The y intercept of the parabola is ( 0 , 96 )

The axis of symmetry of parabola is x = -2

Hence , the equation of parabola is y = (x + 2)² + 92

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Answer:

The answer is option A

Step-by-step explanation:

Using the rules of indices

That's

Simplify the expression

We have

Again using the rules of indices

That's

The final answer is

Hope this helps you

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

Hello! answer: -1

Hope that helps!

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

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9514 1404 393

Answer:

  B.  (2, 0)

Step-by-step explanation:

We understand the points on the graph of h(x) to be ...

  (0, 2), (1, 5), (2, 8), (3, 11), (4, 14), (5, 17)

The points on the graph of the inverse function will have the x- and y-coordinates reversed:

  (2, 0), (5, 1), (8, 2), (11, 3), (14, 4), (17, 5)

The one that appears among the answer choices is ...

  (2, 0)

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

ANSWER:

1:4

STEP-BY-STEP EXPLANATION:

To calculate the ratio, we must calculate the quotient between the degrees of a circle and the degrees of a right angle, like this:

Which means that the ratio is 1:4

The volume of the composite figure made of a rectangular and triangular prism is 216 in³

Volume of rectangular prism = length * width * height

Given the following parameters:

l = 6in

w = 6in

h = 4in

Substitute

V = 6 * 6 * 4

V = 144in³

The volume of the triangular prism = 1/3(6*4)*6
The volume of the triangular prism = 72 in³

Hence the volume of the figure  = 144in³ + 72 in³
The volume of the figure = 216 in³

Therefore the volume of this figure is 216 in³

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The accurate statement is A. Apples cost approximately $0.07 less per pound.

The constant of proportionality would give us the cost of per pound. From the graph, when number of pounds (p) = 3, cost in dollars (C) = 4.

Constant of proportionality = C/p = 4/3

Therefore, Cost of apples per pound = 4/3 = $1.33 (approximated)

\(C = \frac{7}{5} p\)

The constant of proportionality of the equation function will give us the cost per pound for pears.

From the equation, the we can deduce that \(\frac{7}{5}\) represents the cost of pears per pound (constant of proportionality).

Thus:

Cost of pears per pound = 7/5 = $1.40

The difference between the cost per pound of pears and the cost per pound of apples would be:

$1.40 - $1.33 = $0.07

Therefore, we can conclude that apples cost approximately $0.07 less per pound.

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The compound interest is interest calculated on the initial principal which includes all the accumulated interest from previous periods on a deposit or loan.

Therefore, from the options, the right answer will be that the compound interest is the interest applied to both the principal and to any previously earned interest.

Option A is right.

Answer:

false

Step-by-step explanation:

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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A graph of the two (2) points (-0.5, 0) and (9, 0) that represent the distance which this object would travel in different amounts of time at that rate is shown in the image attached below.

Mathematically, a linear function is sometimes referred to as the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

d = mt + b

Where:

Therefore, the required linear function that relates the distance (d) and speed (s) at time (t) seconds is given by this mathematical expression;

d(t) = 18t + 9

For instance when time (t) = -0.5 seconds, the distance traveled by this object placed on a conveyor belt is given by;

d(t) = 18t + 9

d(-0.5) = 18(-0.5) + 9

d(-0.5) = -9 + 9

d(-0.5) = 0 feet.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

6x^2-3x-2

Step-by-step explanation:

6x^2 + 2x - 20 / 4 x x - 2

6x^2 + 2x - 5x - 2

6x^2 -3x - 2

Answer:

X = 10

Z = 67

Step-by-step explanation:

We see that the angles are formed by the intersection of two lines.

Angles z and  67° are vertically opposite angles and therefore they are equal to each other

z°= 67°

Angles z and (7x + 43) are supplementary angles. The sum of these angles add up to 180°

z + 7x + 43 = 180

67 + 7x + 43 = 180

7x + 110 = 180

7x = 180 -110 = 70

x = 70/7 = 10

Answer:

1428.28

Step-by-step explanation:

We have the following:

We have that angle 5 and angle 7 are equal, therefore we propose the following equality

solving for x

Therefore, the value of x is 6

Answer:

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Step-by-step explanation:

We have only the mean, so we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.

This means that \(\mu = 0.05n\), in which n is the number of yeas.

If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period

30 years means that \(\mu = 0.05*30 = 1.5\).

This probability is:

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

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769\)

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.

For point a:

     \(\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854\)

For point b:

\(\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465\)

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Answer:

125

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

40p/100=32

40p=3200

p=80

As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions

Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.

For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.

Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.

For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.

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Answer: C. t = p / s1-s2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

Hence the radius of the circle is approximately 11.72 cm long

The height is 230 feet after 9.125 seconds.

We have the  equation that describes the height of the object as a function of time as:

h(t) = -16t^2 + 145t + 2

We input the values and simplify:

-16t^2 + 145t + 2 = 230

-16t^2 + 145t - 228 = 0

we can use the quadratic formula, to solve this quadratic equation,

t = (-b ± √(b^2 - 4ac)) / 2a

where a = -16, b = 145, and c = -228.

t = (-145 ± √(145^2 - 4(-16)(-228))) / 2(-16)

t = (-145 ± √ (21025)) / (-32)

t = (-145 ± 145) / (-32)

t = 0.625 seconds or t = 9.125 seconds

In conclusion, the height is 230 feet after 9.125 seconds.

#complete question:

An object is thrown upward at a speed of 145 feet per second by a machine from a height of 2 feet off the ground. The height h of the object after t seconds can be found using the equation

When will the height be 230 feet?