Can someone help me with this please !

The perimeter of this solid is 72 cm.

In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:

P = a + b + c

Where:

Since the shape was formed by combining four (4) of these triangles, we can logically deduce the following side lengths;

Side length = 12 - 9 = 15 - 12

Side length = 3 cm.

Therefore, the perimeter of this solid can be calculated as follows;

Perimeter of solid = 4(15) + 4(3)

Perimeter of solid = 60 + 12

Perimeter of solid = 72 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The number of ways to choose the letters is given as follows:

First we must decide which formula to use, depending if the order matters, as follows:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P(n,x) = \frac{n!}{(n-x)!}[/tex]

Hence, if the order matters, the number of ways is given as follows:

P(3,2) = 3!/(3 - 2)! = 6.

The combination formula is given as follows:

[tex]C(n,x) = \frac{n!}x!{(n-x)!}[/tex]

Hence, if the order does not matter, the number of ways is given as follows:

C(3,2) = 3!/(2! x 1!) = 3.

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Step-by-step explanation:

Sometimes it is hard to 'see' the factorization....so you can take the HCF out of the three terms to perhaps see it better:

Factor out a '4'

4* ( 2n^2 + 17n + 21  )

4 ( 2n +3 )(n +7 )                    DONE.

The equation that can be used to find the nth term in the sequence, an, is: [tex]an = -4 \times 4^{(n-1)[/tex]

In a geometric sequence, each term is found by multiplying the previous term by a constant ratio.

Let's denote this ratio as "r."

Given that the first term, a₁, is -4, we can find the value of r by dividing the second term, a₂, by the first term, a₁.

a₁ = -4

a₂ = -16

r = a₂/a₁

Substituting the given values:

r = -16 / -4

r = 4

So, the common ratio, r, in this geometric sequence is 4.

To find the nth term, aₙ, in the sequence, we can use the formula:

[tex]a1= a{1 } \times r^{(n-1) }[/tex]

Substituting the given values:

[tex]a_n= -4 \times 4^{(n-1) }[/tex]

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Answer:

-3993

Step-by-step explanation:

The absolute increase from the younger group to the older group is 59.9% - 14.3% = 45.6%. Rounding to the nearest point, the answer is 46 points.

The absolute increase is the difference between two values, regardless of the direction of change. In this case, we want to find the absolute increase in the percentage of people who vote from the younger group (20-25 years old) to the older group (60-65 years old).

To find the absolute increase, we subtract the percentage of people who vote in the younger group from the percentage of people who vote in the older group, taking the absolute value of the result.

So, the absolute increase in the percentage of people who vote from the younger group to the older group is:

|59.9% - 14.3%| = 45.6%

This means that the percentage of people who vote in the older group is 46 percentage points higher than the percentage of people who vote in the younger group.

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Answer:

72 1/2

Step-by-step explanation:

so, she ran 2 miles in 8 3/4 minutes each.

3 miles in 9 minutes each.

2 miles in 9 1/4 minutes each.

1 mile in 9 1/2 = 9 2/4 minutes.

in total that means

2×(8 3/4) + 3×9 + 2×(9 1/4) + 9 2/4 =

= 16 6/4 + 27 + 18 2/4 + 9 2/4 =

= 16 + 27 + 18 + 9 + 6/4 + 2/4 + 2/4 =

= 70 + 10/4 = 70 + 2 + 2/4 = 72 2/4 = 72 1/2 minutes

The volume of the largest piece is given as follows:

V = 10603 cm³.

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

The dimensions for the largest piece in this problem are given as follows:

Hence the volume of the largest piece is given as follows:

V = π x 15² x 45/3

V = 10603 cm³.

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The mathematical function that is modeled in this table is C) f(x) = 1,000(0.80)ˣ⁻¹.

A mathematical function is described as an equation, expression, rule or law defining the relationship between the independent variable and dependent variable.

For instance, there are many types of functions, including:

Initial value = 1,000

Percentage of decrease = 20%

Decay factor = 0.80 (1 - 0.20)

x          f(x)       Using Option C:

1        1,000      1,000(1)

2         800       1,000(0.80)¹

3         640       1,000(0.80)²

4          512       1,000(0.80)³

Thus, the correct function is Option C.

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Answer:

it is A

Step-by-step explanation:

def correct! a+ student

Answer: D

Step-by-step explanation:

The answer has to be A or D because they're the only ones that look like real box-and-whisker plots. The mean is the line in the middle of the "box", so calculating the mean should be easy enough.

Add all the numbers together and then divided by the number of numbers.

56+72+75+98+73+86+48+95+69+88+75+92 = 972

There are 12 numbers.

972/12 = 77.25

Only option D represents the proper mean.

The equation of the line in the graph passing through the points (-2,1) and (6,7) is  [tex]y = \frac{3}{4}x + \frac{5}{2}[/tex].

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

From the graph, the line passes through point (-2,1) and (6,7).

First, we determine the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{7 - 1}{6-(-2)} \\\\m = \frac{6}{6+ 2} \\\\m = \frac{6}{8} \\\\m = \frac{3}{4}[/tex]

Now, plug the slope m = 3/4 and point (-2,1) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

[tex]y - 1 = \frac{3}{4}(x - (-2)) \\\\y - 1 = \frac{3}{4}(x + 2)\\\\y - 1 = \frac{3}{4}x + \frac{3}{2} \\\\y = \frac{3}{4}x + \frac{3}{2} + 1\\\\y = \frac{3}{4}x + \frac{5}{2}[/tex]

Therefore, the euation of the line is [tex]y = \frac{3}{4}x + \frac{5}{2}[/tex].

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The greatest common divisor of 120, 70, and 30 using prime factorization is 10.

To find the greatest common divisor (GCD) of 120, 70, and 30 using prime factorization  we need to first express each number as a product of its prime factors.

Prime factorization of 120

2³ × 3 × 5

Prime factorization of 70

= 2 × 5 × 7

Prime factorization of 30

= 2 × 3 × 5

common prime factors among the three numbers

common prime factors

= 2 × 5

= 10

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The value of the expression "A- 2--0.5x47" is 25.5.

Using the order of operations (PEMDAS) we first simplify the multiplication before subtracting from 2:

2 - (-0.5 x 47)

= 2 - (-23.5)

When subtracting a negative number, we can think of it as adding the positive value. Therefore, we can rewrite the expression as:

2 + 23.5

= 25.5

Therefore, the value of the expression "A- 2--0.5x47" is 25.5.

In conclusion, to determine whether a given value is a solution to an equation, we need to know what the equation is. However, given an expression, we can simplify it and then substitute a value for the variable to determine whether it is a solution.

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Question

which value is a solution  A- 2-( -0.5x47)

Answer:

Corresponding angles is the answer to your question

53 = 43 + v, so substitute each number for V and see if it equals 53.

v = 8 >>> NO

53 = 43 + 8 >>> Nope. This is 51

v = 10 >>> YES

53 = 43 + 10 = 53 >>> Yup! This works.

v = 96 >>> NO

53 = 43 + 96 >>>> Nope, this doesn't add up.

V = 6 >>> NO

53 = 43 + 6 = 49 >>> Nope this doesn't add up.

Answer:

A. 4.29

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers divided by the total numbers present.

Sum of numbers:  Instead of having to write out 2.5 twenty-two times and 5.7 twenty-eight times, we can remember that adding 2.5 twenty-two times is the same as multiplying 2.5 and 22 while adding 5.7 twenty-eight times is the same as multiplying 5.7 and 28.  Thus, our numerator for the average is (2.5 * 22) + (5.7 * 28)

Total number of people: We know that there are 50 people in all since 22 + 28 = 50.  Thus, our denominator for the average is 50

Average:  We divide our numerator by our denominator and simplify to find our average:

Average = ((2.5 * 22 + (5.7 * 28)) / 50

Average = (55 + 159.6) / 50

Average = 214.6 / 50

Average = 4.292

Average = 4.29

Thus, the average and our answer is A. 4.29

The cost of 13 yards of material sold at #1000 per yard would be:

13 x #1000 = #13,000

Answer:

20%

Step-by-step explanation:

percent error = (estimated value - real value)/(real value) × 100%

percent error = (54 - 45)/(45) × 100%

percent error = 0.2 × 100%

percent error = 20%

The equation of line is y = -x - 9 which passes through the point Z(-4,-5)

Given data ,

To graph the line with a slope of -1 passing through the point (-4, -5), we can use the point-slope form of a linear equation:

Now , the value of A is

Let the line passes through the point P ( -4 , -5 )

The slope which is the rate of change is is m=-1

y-y₁ = m(x-x₁)

On simplifying , we get

y-(-5) = (-1)(x+4)

Expanding the brackets:

y + 5 = -x - 4

y = -x - 9

Now we have the equation in slope-intercept form. To graph the line, we can plot the given point (-4, -5) and use the slope to find additional points.

Hence , the equation of line is y = -x + 1

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It can be said that  the statement that correctly compares the function shown on this graph with the function y =4x + 2 is

'The expresion indicated on the graph has a smaller rate of change, but a higher starting point.' (Option A)

We have the expression - y = mx + c, where m is the slope and

c is known as the y-intercept"

For given question,

We have been given a expresion  which states: y = 4x + 2

This function represents a line.

Looking at the above function side by side with slop-intercept form of the line.

We can state that we have slope of the line = 4 and y - intercept = 2

Note that the pace of change of the line is given by the slope.

This means that  the required pace of change of function y = 4x + 2 will be 4.

A beginning point of a function is the commencement value in a linear expression .

The beginning point of above function f(x) is 2.

The graph of the line passes via points (-1, 1) and (0, 4)

So using slope formula,

m1 = (4-1)/(0-(-1))

m1 = 3

This means that  the pace of change of function shown on the graph is 3.

This means, the pace of change of function shown on the graph is smaller than the pace of change of function y = 4x + 2

The expression of the function shown on the graph would be y = 3x + 4

The point of incetion of the function shown on the graph is 4.

This signifies that the starting point of the graphed function is higher than the starting point of the function y = 4x + 2.

As a result, the accurate statement comparing the function displayed on this graph to the function y=4x + 2 is 'The function shown on the graph has a lesser rate of change, but a higher beginning point.'

The correct answer is option (A)

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The probability that 7 or 8 machines will produce all bolts within specification is approximately 0.9841.

Using the binomial distribution formula, we get:

P(X = 7) = (8 choose 7) * (0.002)⁷ * (0.998)¹ ≈ 0.0081

P(X = 8) = (8 choose 8) * (0.002)⁸ * (0.998)⁰ ≈ 0.000003

Therefore, P(X = 7) + P(X = 8) ≈ 0.0081 + 0.000003 ≈ 0.9841.

Probability is a branch of mathematics that deals with the study of the likelihood of occurrence of events or outcomes in situations where there is uncertainty or randomness. It is a measure of the degree of uncertainty of an event, typically expressed as a number between 0 and 1. Probability is used to make predictions and decisions in various fields, including science, engineering, economics, finance, and social sciences.

It is based on the analysis of past events or observations, and it enables us to estimate the likelihood of future events or outcomes. Probability theory provides a mathematical framework for modeling and analyzing random phenomena and helps us understand the laws of chance that govern various natural and artificial systems.

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This question involves statistical analysis and hypothesis testing, and the provided information does not contain all the necessary information to answer the questions fully and accurately. However, I can provide some general guidance on hypothesis testing and the factors to consider when designing a study.

It is not appropriate to refer to the vaccinated group as the placebo group. A placebo group is a group that receives a treatment that is inactive or does not contain the active ingredient being tested, while the treatment group receives the active treatment. In the case of the COVID vaccine, the treatment group is the group that received the vaccine, while the control group would be the group that did not receive the vaccine. In this scenario, it is important to have a control group to compare the effectiveness of the vaccine to the effectiveness of no intervention.

Other important factors to consider when designing a study include sample size, randomization, blinding, and the choice of outcome measures. These factors help to reduce bias and ensure that the results are generalizable to the target population.

To perform a hypothesis test comparing the vaccinated group to the control group, the following conditions must typically be met: the samples are independent, the samples are randomly selected from their respective populations, and the samples are normally distributed (or the sample size is large enough, typically n > 30). Additionally, the variances of the two populations should be assumed to be equal unless there is strong evidence to the contrary.

Assuming the conditions for performing a hypothesis test are met, the null hypothesis (H0) is that there is no difference in the number of deaths from COVID between the vaccinated group and the unvaccinated group, while the alternative hypothesis (Ha) is that the vaccine is effective in reducing the number of deaths from COVID. A two-sample t-test can be used to test whether the means of the two groups are significantly different. If the p-value is less than the significance level (alpha) of 0.01, the null hypothesis can be rejected in favor of the alternative hypothesis, and it can be concluded that the vaccine is effective in reducing the number of deaths from COVID.

Once again, please note that the information provided may not be sufficient to provide an accurate analysis of this question, and further information may be necessary to perform an appropriate hypothesis test and draw meaningful conclusions.

The commutative sets of transformations are two translations, refelction over the y-axis, dilation with center (2,2) and two reflections over the x-axis​. B, D, and E.

The sets of transformations that result in the same image when performed in any order are called "commutative."

A set of transformations is commutative if the order of the transformations doesn't matter;

Performing the transformations in a different order still results in the same final image.

Based on this definition can select the commutative sets of transformations from the given choices:

Translation and dilation with center (0,0) are not commutative.

The order of the transformations matters.

Two translations are commutative.

The order of the transformations doesn't matter.

Vertical translations and reflection over the y-axis are not commutative. The order of the transformations matters.

Reflection over the y-axis and dilation with center (2,2) are commutative.

The order of the transformations doesn't matter.

Two reflections over the x-axis are commutative.

The order of the transformations doesn't matter.

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Answer:2.381 cm.

Step-by-step explanation:

The volume of the gold bar can be calculated using the formula for the volume of a rectangular prism:

Volume = Length x Width x Height

We know the length and width of the bar, so we can substitute those values:

Volume = 23.5 cm x 28 cm x Height

We can then solve for the height by rearranging the equation:

Height = Volume / (Length x Width)

To find the volume, we can use the density of gold and the mass of the bar:

Density = Mass / Volume

Volume = Mass / Density

Substituting the values we have:

Volume = 43,892.5 g / 27.2 g/cm³

Volume = 1610.049 cm³

Now we can substitute the volume into the equation we derived earlier to solve for the height:

Height = 1610.049 cm³ / (23.5 cm x 28 cm)

Height = 2.381 cm

Therefore, the height of the gold bar is approximately 2.381 cm.

Answer: The total cost will be equal to $2839.16. The expression to calculate the total cost is 119.92(m)+81=C(t).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a person buys a phone for ​$81 and signs up for a​ single-line phone plan with 2000 monthly anytime minutes. The plan costs ​$119.92 per month.

The expression will be formed as below:-

119.92(m)+81=C(t)

119.92(23)+81=C(t)

2839.16=C(t)

Therefore, the total cost will be equal to $2839.16.

Answer:

1/10

Step-by-step explanation:

2/5 * 1/4 = 2/20 = 1/10

2 right answers, 5 possible choices

Select one right choice = 2/5

After selecting one right choice, there are 4 possible choices with one more right choice left.
Select another right choice = 1/4

Answer:

  2a. maximum: (1, 8); minimum: (3, 0)

  2b. point of inflection: (2, 4)

  3.  a = 1/4

Step-by-step explanation:

You want the extrema and the point of inflection of f(x) = 2x³ -12x² +18x, and you want the value of 'a' that makes the end behavior a horizontal asymptote at y = 1.

The cubic function f(x) = 2x³ -12x² +18x has derivative ...

  f'(x) = 6x² -24x +18 = 6(x² -4x +3) = 6(x -1)(x -3)

The derivative will be zero at x = 1 and 3. These are the x-coordinates of the extrema of f(x).

The values of f(x) at those points are ...

  f(x) = 2x((x -6)x +9)

  f(1) = 2·1((1 -6)1 +9) = 2(-5 +9) = 8

  f(3) = 2·3(3 -6)·3 +9 = 6(-9 +9) = 0

The leading coefficient is positive, so the leftmost portion of the curve is increasing. The maximum will be at the leftmost turning point. The minimum is the other one (rightmost).

The maximum is (1, 8); the minimum is (3, 0).

The point of inflection is the midpoint between the extrema of a cubic:

  ((1, 8) +(3, 0))/2 = (2, 4) . . . . point of inflection

You want the limit as x → -∞ of ((x -2)(3x² +5) -4ax³)/(8ax³ +5x -1) to be 1.

The ratio of leading terms of the numerator and denominator is ...

  (3 -4a)x³/(8ax³) = 1

This requires ...

  3 -4a = 8a   ⇒   3 = 12a   ⇒   a = 1/4

The value of 'a' that makes the limit be 1 is 1/4.

__

Additional comments

A cubic is symmetrical about its point of inflection, so the point of inflection will be equidistant from the extrema, their midpoint. When the leading coefficient is positive, the function is increasing everywhere except between the local extrema. (The first attachment has a graph of the derivative, for reference.)

The end behavior of a rational function of equal numerator and denominator degree is the ratio of the leading coefficients.

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3a. 60

3b. 4

3c. It means that the individual speeds of the trucks are pretty close to the mean.

4. The temperature is not very consistent.

5. The values in the data set are close together, and the mean is pretty consistent.

6. Evelyn and Nova are correct

Pls give brainliest

Answer:

3a. 60

3b. 4

3c. represents the difference in speed from the mean, or data is close to mean

4. The temps are not consistent, data varies a lot

5. It means that the data does not vary much, data is basically exactly the same as the mean.

6. evelyn, nova