(1 point) Consider the ordered bases B = (3x − 1, 1 – 4x) and C = (− (4 + x), x - 3) for the vector space P2[x]. a. Find the transition matrix from C to the standard ordered basis E = (1, x). b. Find the transition matrix from B to E. c. Find the transition matrix from E to B. d. Find the transition matrix from C to B. e. Find the coordinates of p(x) = 3 -x in the ordered basis B. [p(x)]B=
f. Find the coordinates of g(x) in the ordered basis B if the coordinate vector of g(x) in C is [q(x)]C = (-2, 2). [q(x)]B=

Answer:

3^2 = 9

9 x 3.14 = 28.26

28.26  divided by 4 = 7.065 (round) = 7.07

Step-by-step explanation:

The area of a circle is:

A=π*(r^2)

A=π*(3^2)

Α=9π ft^2

The area of the figure is:

A=9π/4 ft^2

If it says that π=3.14 then

A=7.07 ft^2

Amani earns 59 dollars in a week if she sells 18 books.

Amani earns a base amount of $41 per week for working part-time at the bookstore. In addition to that, she earns an extra dollar for each book she sells. The equation A = 41 + b represents her total earnings, where A represents the amount she earns and b represents the number of books she sells.

To find out how much Amani earns in a week if she sells 18 books, we substitute the value of b (18) into the equation:

A = 41 + 18

This simplifies to:

A = 59

Therefore, if Amani sells 18 books in a week, she will earn $59.

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Answer:

answer b <3

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

280*(17/100) = 47.6

Answer: The critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Step-by-step explanation:

To find the critical points of g(t), we need to find the values of t where the derivative dg(t)/dt is equal to zero or does not exist.

Using the given information, we have:

dg(t)/dt = 4ct^3 + 2dct

Setting this equal to zero, we get:

4ct^3 + 2dct = 0

Dividing both sides by 2ct, we get:

2t^2 + d = 0

Solving for t, we get:

t = ±sqrt(-d/2)

Therefore, the critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Note that we also need to assume that c is nonzero, since if c = 0, then dg(t)/dt = 0 for all values of t and g(t) is not differentiable.

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Answer:

There are 46 numbers in this sequence.

When two parallel lines are intersected by a third line, eight angles are formed. Vertical angles are pairs of angles formed by two intersecting lines, so angles 1 and 5 must be vertical angles. Since vertical angles are always congruent, angles 1 and 5 are congruent as well.Supplementary angles are two angles whose sum is 180 degrees.

When a transversal intersects two parallel lines, eight angles are formed. Angles 1 and 5 are supplementary angles because they are on opposite sides of the transversal and their measures add up to 180 degrees.

This is because they are consecutive interior angles.So, angles 1 and 5 are congruent and supplementary.

There are a few ways to prove that two lines are parallel, but one way is to use the converse of the Corresponding Angles Postulate.

The postulate states that if two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. Since angles 1 and 5 are congruent, we can use the converse of this postulate to conclude that the two lines are parallel.

Another way to prove that two lines are parallel is to use the Alternate Interior Angles Theorem.

This theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. Since angles 1 and 5 are congruent, we can use this theorem to conclude that the two lines are parallel.

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Answer: D. They are supplementary

Step-by-step explanation: RIGHT ON EDGE2023

Answer:

7/8 pls hope it helped! I'm pretty sure that's right

Step-by-step explanation:

Let ABC be an isosceles triangle with sides AC and BC of equal length.                

We need to prove that the medians AD and BE are of equal length.

Consider the triangles ADC and BEC.

They have two congruent sides that include congruent angles.

Indeed, AC = BC by the condition, because the triangle ABC is isosceles.

Since the lateral sides AC and BC are of equal length, their halves EC

and DC are of equal length too: EC = DC.

Finally, the angle ECD is the common angle.

Thus, the triangles ADC and BEC are congruent, in accordance to the

postulate P1 (SAS) (see the lesson Congruence tests for triangles of the

topic Triangles in the section Geometry in this site).

Hence, the medians AD and BE are of equal length as the corresponding sides

of these triangles.

The proof is completed.

The probability that a three-  number integer is separable by 7 is 3/20or 0.15.

To determine the probability that a three-  number number is separable by 7, we need to count the number of three-  number integers that are separable by 7 and  also divide that number by the total number of three-  number integers.

First, we need to find the lowest three-  number integer that's separable by 7. We know that 14 is the  lowest two-  number integer separable by 7, so the  lowest three-  number integer that's separable by 7 will be the coming multiple of 7, which is 105.    

Next, we need to find the largest three-  number integer that's separable by 7. The largest three-  number integer is 999, and the largest multiple of 7 that's  lower than or equal to 999 is 994.    So, we need to count the number of integers that are separable by 7 between 105 and 994.

We can do this by using the formula for the number of integers in an  computation sequence  

number of integers = ( last term-first term)/ common difference  

In this case, the first term is 105, the last term is 994, and the common difference is 7, so we have  

number of integers = ( 994- 105)/ 7 1 =  135  

Thus, there are 135 three-  number integers that are separable by 7.    

The total number of three-  number integers is 900( from 100 to 999). So, the probability that a three-  number integer is separable by 7 is    probability =  number of integers that are separable by 7/ total number of three-  number integers  probability

=  135/ 900  probability =  3/ 20

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Hi, It's the 3rd option

Thanks, It was little hard to find the answer. I am not totally sure about it but as far as I understand this question. the third option is correct.

:)

Answer:

4x^2 / y

Step-by-step explanation:

Rewrite the equation

(24x^3/5x) x 15/18y

then we can simply get the answer of 4x^2 / y

Substitution is the name of the process in algebra which is used for swapping an algebraic letter for its value.

The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from one of the equations is substituted in the other equation.

In substitution the following steps are used to solve an equation by substitution method:

Step 1. Simplify the given equation by removing the parenthesis.

Step 2. Solve one of the equations for any unknown value.

Step 3. Substitute step 2 result in the other equation.

Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.

Step 5. Finally, solve the final equation for the second variable.

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Answer:

Step-by-step explanation:

To solve the quadratic equation x^2 = x + 3 using the quadratic formula, we first need to write the equation in standard form:

x^2 - x - 3 = 0

Then, we can identify the coefficients a, b, and c as follows:

a = 1, b = -1, c = -3

Now, we can plug these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-1) ± √((-1)^2 - 4(1)(-3))) / 2(1)

Simplifying:

x = (1 ± √(1 + 12)) / 2

x = (1 ± √13) / 2

Therefore, the solutions for the quadratic equation x^2 = x + 3 using the quadratic formula are:

x = (1 + √13) / 2 or x = (1 - √13) / 2

Answer:

194.3 miles/h

Step-by-step explanation:

avarage speed = total distanse/total time

194.3/1

A sorority was purchasing 5 dozens of specially designed t-shirts to sell members through internet. The goods or T-shirts were business products.

Business products refer to goods or services that are purchased by businesses or organizations to be used in the production of other goods or services. These products are also known as B2B (business-to-business) products, as they are sold to other businesses rather than to consumers.

In the context of the sorority purchasing t-shirts, it is possible that they may be considered a business product if the sorority plans to resell the t-shirts to members for a profit.

Thus, the answer is business products.

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Answer:

hi

Step-by-step explanation:

Answer:

The second number line

Step-by-step explanation:

Answer:

c=10

Step-by-step explanation:

c² =8²+6²

c² =64+36

c²= 100

\( \sqrt{100} \)

= 10

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

\(\displaystyle y' = \frac{-5}{2x^6}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \frac{1}{2x^5}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

x= 3.5 in, y = 6 in

Step-by-step explanation:

If it is dilated by .5 then its divided in half So (7÷ 2=3.5),(12÷ 2=6)

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

i. 6

ii. \(5\frac{5}{9}\)

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=\(5\frac{5}{9}\)

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

m∠x+m∠r+m∠y=180° (angles in a triangle add to 180°)

m∠r+m∠s=180° (angles that form a linear pair add to 180°)

m∠x+m∠r+m∠y=m∠r+m∠s (Transitive property of equality)

m∠x+m∠y=m∠s (subtraction property of equality)

m∠s=m∠x+m∠y (symmetric property of equality)

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Fred Meyer's unit Rate: $2.17 per pound.

Costco's unit Rate: $2.10 per pound.

Better Price:​  Costco has the better price for cheddar cheese.

To determine who has the better price for cheddar cheese, let's calculate the unit rate for both Fred Meyer and Costco.

Fred Meyer:

Cheddar cheese is priced at $6.50 for 3 pounds. To find the unit rate, we divide the price by the quantity: $6.50 ÷ 3 pounds = $2.17 per pound.

Costco:

Costco offers 10 pounds of cheddar cheese for $21. To find the unit rate, we divide the price by the quantity: $21 ÷ 10 pounds = $2.10 per pound.

Comparing the unit rates, we can see that Fred Meyer's cheddar cheese is priced at $2.17 per pound, while Costco's cheddar cheese is priced at $2.10 per pound.

Therefore, based on the unit rates, Costco has the better price for cheddar cheese. They offer it at a slightly lower price per pound compared to Fred Meyer. Customers can save $0.07 per pound by purchasing cheddar cheese from Costco instead of Fred Meyer.

However, it's important to note that price isn't the only factor to consider when deciding where to purchase cheddar cheese. Other factors such as location, quality, convenience, and personal preferences should also be taken into account.

Additionally, it's always a good idea to compare prices and consider any ongoing promotions or discounts that might affect the final decision.

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Answer:

55.4

Step-by-step explanation:

Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about

The step that is the same when bisecting segments and angles is "Draw a ray from the vertex to another point."

When bisecting a segment, you must draw a line that divides the segment into two equal parts. One way to do this is to draw a ray with one endpoint at the midpoint of the segment and the other endpoint at any point beyond the segment. This ray will bisect the segment. When bisecting an angle, you must draw a line that divides the angle into two equal angles. One way to do this is to draw a ray from the vertex of the angle to any point on the angle. This ray will bisect the angle.

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Answer: Mark the intersection points of the arcs.

Step-by-step explanation: Draw a ray with one endpoint. is incorrect