need help please somebody

The question is:  Let B and C be two ordered bases of Rº, and consider a linear transformation T:R->R. Suppose that the change of base matrix Ic, B is given by [-3 -1 1
-1 2 -1 -1 -3 -2] and the coordinate matrix Tc,c of T with respect to C is given by [2 -2 -2 -1 -3 -1. | 2 0 -1]

Use this to determine coordinate matrix TB,B of T with respect to B! TB,B =Step-by-step explanation: Ic, B = [-3 -1 1-1 2 -1-1 -3 -2]Tc,c = [2 -2 -2-1 -3 -1 | 2 0 -1]

We know that: T (v) = v'Tc,cTB,B = Ic,B.Tc,cTB,B = [-3 -1 1-1 2 -1-1 -3 -2][2 -2 -2-1 -3 -1 | 2 0 -1]TB,B = [2 2 2-1 -1 -1 | -2 2 1]

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Answer:

2.5n is larger than or equal to (> with the line under) 5.25

Step-by-step explanation:

let's say the number is "n"

2 1/2 of n is at least 5 1/4

at least is a synonym to larger than or equal to, which is the fourth symbol, >_ with the line underneath.

The inequality 2.5x ≥ 5.25 represents the statement "Two and a half times a number is at least five and one-fourth"

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality symbol "≥" represents "at least," indicating that the result should be greater than or equal to 5.25.

The inequality that represents this statement is:

2.5x ≥ 5.25

Where x is the number,

This means that if we multiply a number by 2.5, the result should be greater than or equal to 5.25. In other words, 2.5x should be greater than or equal to 5.25.

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Answer:

(2/5) = (6/15)

Step-by-step explanation:

Let us assume that,

→ Missing numerator = x

Now we have to,

→ Find the required value of x.

Forming the equation,

→ (2/5) = (x/15)

Then the value of x will be,

→ (2/5) = (x/15)

→ 2 × 15 = x × 5

→ 30 = 5x

→ 5x = 30

→ x = 30/5

→ [ x = 6 ]

Hence, the value of x is 6.

The correct formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests is 1950 + 100n.

To find the formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests, we can analyze the given information.

We are given two data points: the cost for 50 guests, which is $6,950, and the cost for 100 guests, which is $11,950. We can observe that the difference between these two costs is $11,950 - $6,950 = $5,000.

Since the cost forms an arithmetic sequence, the difference between consecutive terms will remain constant. In this case, the difference is $5,000.

Now, we need to find the initial term of the sequence. By examining the cost for 50 guests, we notice that the difference between the cost for 50 guests and the initial term is $6,950 - $5,000 = $1,950.

Putting it all together, we have the formula for the general term of the arithmetic sequence: initial term + (difference × (n - 1)).

Plugging in the values, the formula becomes: 1,950 + (5,000 × (n - 1)) = 1,950 + 5,000n - 5,000 = 5,000n - 3,050. Simplifying further, we get the final formula: 5,000n - 3,050.

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The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

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Answer:

730 in cubed

Step-by-step explanation:

hope this helps

have a good day

The mean is calculated by the formula

The median can be found by rearranging the data from least to greater and the median will be the data exactly in the middle

the median is 39.

The mode is the date that repeats more time over the data set, in this case the only one that repeats itself is 52.

the mode is 52.

Finally, the range is the difference between the smaller value

the range is 73.

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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The image after the dilation is A' (-2,2) and (4,4)

Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor

To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate

Thus, we have

A' as (-2,2) and B' as (4,4)

To plot the image, we can locate these coordinates and join them together and label them as A' and B'

Answer:

Here

Step-by-step explanation:

54.5°

Answer:

63.4

Step-by-step explanation:

First, find the height of the tree relative to Henry by subtracting his height from the tree's height: 14 feet - 4 feet = <<14-4=10>>10 feet

Next, use the formula for finding the angle of elevation: tan(angle) = opposite side / adjacent side

Since the opposite side is the tree's height relative to Henry and the adjacent side is the distance between Henry and the tree, plug in the values: tan(angle) = 10 feet / 4 feet

Solve for the angle: tan(angle) = 2.5

Since the inverse tangent function is used to find the angle given the tangent value, find the inverse tangent of 2.5: angle = tan^-1(2.5) = 63.4 degrees

Round to the nearest tenth: 63.4 degrees rounded to the nearest tenth is 63.4 degrees. Answer: {63.4}.

The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

A ≈ 55.6 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

central angle of shaded region = 360° - 230° = 130° , then

A = πr² × \(\frac{130}{360}\)

   = π × 7² × \(\frac{13}{36}\)

   = 3.14 × 49 × \(\frac{13}{36}\)

   ≈ 55.6 cm° ( to the nearest tenth )

From the information given,

Students ticket = $4

Adult ticket = $6

Let student ticket be x, and adult ticket be y.

This means;

ANSWER:

The calculations show that Jerome spent a total of $40

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer: 19 or 20 $

Step-by-step explanation:

Answer:

10 times as much of 0.006

Step-by-step explanation:

trust me :)

Answer:

0.006

Step-by-step explanation:

0.06/10=6\10 / 10\1

=6\1 * 1\10

=6*1 \ 100*10

=6\1000

0.006

Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

To find the volume of the region bounded by the curves \( x = 1 + (y - 2)^2 \) and \( x = 2 \) when rotated about the x-axis, we can use the method of cylindrical shells.

The volume can be computed by integrating the product of the height of each shell and the circumference of the shell.The first step is to express the height and circumference of each cylindrical shell in terms of the variable y. The height of each shell is given by the difference between the upper curve \( x = 2 \) and the lower curve \( x = 1 + (y - 2)^2 \), which is \( 2 - (1 + (y - 2)^2) \).

The circumference of each shell is \( 2\pi r \), where the radius is the x-coordinate of the shell, which is \( 2 - x \). Therefore, the circumference becomes \( 2\pi (2 - x) \). Next, we need to determine the limits of integration. The curves intersect at two points, one at the vertex of the parabola when \( y = 2 \), and the other when \( y = 3 \).

So, the integral will be evaluated from \( y = 2 \) to \( y = 3 \). The integral that represents the volume can be set up as follows:
\[ V = \int_{2}^{3} 2\pi(2 - x) \cdot (2 - (1 + (y - 2)^2)) \, dy \]By evaluating this integral, we can find the volume of the region bounded by the given curves when rotated about the x-axis using the cylindrical shell method.

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The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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To compare the two options, we need to calculate the total earnings for each option over the 4-year period.

Option 1: Earning an additional $500 each year

The total earnings for this option will be:

Year 1: $15,000

Year 2: $15,500 ($15,000 + $500)

Year 3: $16,000 ($15,500 + $500)

Year 4: $16,500 ($16,000 + $500)

Total earnings over 4 years = $15,000 + $15,500 + $16,000 + $16,500 = $63,000

Option 2: Earning 2% of current salary

To calculate the earnings for this option, we need to find the salary for each year using the formula:

salary = $15,000 + 2% × (previous year's salary)

Year 1: salary = $15,000

Year 2: salary = $15,300 ($15,000 + 2% × $15,000)

Year 3: salary = $15,606 ($15,300 + 2% × $15,300)

Year 4: salary = $15,924.12 ($15,606 + 2% × $15,606)

Total earnings over 4 years = $15,000 + $15,300 + $15,606 + $15,924.12 = $61,830.12

Therefore, the first option of earning an additional $500 each year results in higher total earnings of $63,000 over 4 years, compared to earning 2% of the current salary, which results in total earnings of $61,830.12. Hence, the first option of earning an additional $500 each year is the better choice.

Answer:

C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.

False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.

Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.

To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.

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Answer:

i would say the last one or A.

Step-by-step explanation:

So sorry if i am wrong!

Answer:

4/5

Step-by-step explanation:

Remember yellow and blue make green. Remember to count the entire shaded area both green and blue for the numerator. The denominator will be all the colors yellow, blue and green squares.

Total Green and blue 24 (numerator)

Total Green, blue Yellow 30  (denominator)

=24/30  next you simplify to (divide numerator and denominator by 6 )

equals 4/5

Answer:

30 minutes earlier

Step-by-step explanation:

Since the friend lives 300 miles away, they each have to travel 150 miles which is half of that distance. If the friend travels at 50 miles per hour, they will take 3 hours to reach the destination. If you traveled 60 miles per hour, then you would take 2.5 hours, therefore making it there before him by half an hour.

150/50 = 3

150/60 = 2.5

hope this helps :^)

\(35 * 6 = 210\\210 / 6 = 35mean\)

Therefore, out of one of the many ways to solve this, I found 35.

Answer:

They intersect at one point

Step-by-step explanation:

I took the test and got 100%

Answer:

They have to intersect at one point

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

  A = bh

Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

Answer:

Step-by-step explanation:

You'll need to find a way to share the graph or graphs associated with this problem.

The period is 4.  The relationship between period and b (the coefficient of the independent variable of the cosine function) is (period) =(2π.b).  Given that the period here is 4,

       2π                          2π

4 = ---------, and so b = ------- = π/2.

                                       4

So now our y  = a*cos (bx + c) becomes

                    π

y = 10*cos (------x + 0 + 10

                     2

The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

The function that describes the given situation is \(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\) and this can be determined by using the properties of the trigonometric function.

Given :

The following steps can be used in order to determine the function could be the function described:

Step 1 - According to the given data, the cosine function has a period of 4.

Step 2 - Now, the independent variable of the cosine function is given by:

\(\rm 4b = 2\pi\)

\(\rm b =\dfrac{\pi}{2}\)

Step 3 - The maximum value of the cosine function is 1 and the minimum value of the cosine function is -1.

Step 4 - From the above steps, the function that described the given situation is given by:

\(\rm y = 10\;cos\left(\dfrac{\pi}{2}x\right) + 10\)

Therefore, the correct option is C).

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The value of area of circle is,

⇒ A = 132.7 cm²

We have to given that;

The distance across a circle is 6.5 centimeters.

We know that;

Area of circle is,

⇒ A = πr²

Where, 'r' is radius of circle.

Here, We have;

⇒ r = 6.5 cm

Hence, We get;

Area of circle is,

⇒ A = πr²

⇒ A = 3.14 × 6.5²

⇒ A = 132.7 cm²

Therefore, The value of area of circle is,

⇒ A = 132.7 cm²

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