What's the answer for B
and C

Answer:

  x = 33

Step-by-step explanation:

You want to know the value of x, given that angles 104°, x°, and (x+10)° form a linear angle.

Linear angle

The measure of the linear angle is 180°. The three parts of it have that total.

  104° +x° +(x+10)° = 180°

  2x = 66 . . . . . . . . divide by °, subtract 114

  x = 33 . . . . . . . . . divide by 2

The value of x is 33.

<95141404393>

a. The graph shows a positive correlation.

b. Using the line of best fit, his predicted score in his second paper could have been between 60 - 65.

A positive correlation is a type of correlation whereby two variables move in the same direction. That is, as one increases, the other increases also.

In a scatter plot, a positive correlation exist when both variables appear to move towards the same direction as the line of best fit slopes upwards from left to your right.

a. The scatter plot shows an upward trend on the line of best fit, therefore, the type of correlation shown by the graph is: positive correlation.

b. Using the line of best fit to make prediction, if he got 50 in his paper 1, then the score of the student in his paper 2 could have been between 60 and 65.

Learn more about positive correlation on:

https://brainly.com/question/3753830

#SPJ1

If the promissory note stated that there was a balloon payment at the end. The sum of all but the last monthly payment is: $56,525, $57,000.

Total payment = $475 × [(10 years × 12 months) -1]

Total payment = $475 × 119 payment

Total payment = $56,525

Total payment = $475 × [(10 years × 12 months) ]

Total payment = $475 × 120 payment

Total payment = $57,000

Therefore the monthly payment is; $56,525, $57,000.

Learn more about monthly payment here: https://brainly.com/question/27926261

#SPJ1

Answer:

B

Step-by-step explanation:

Question 1:

We are going to add.

1/5 + 1/2

2/10 + 5/10

7/10

Note that we are going DOWN so the number will be negative.

Therefore, the answer is A.) -7/10

Question 2:

We are going to subtract.

4 1/2 - 1 2/3

9/2 - 5/3

27/6 - 10/6

17/6 or 2 5/6

Note that we are still BELOW sea level so the number will be negative.

Therefore, the answer is C.) -2 5/6

Question 3:

We are going to subtract.

2 2/3 - 1 1/5

8/3 - 6/5

40/15 - 18/15

22/15 or 1 7/15

Therefore, the answer is B.) 1 7/15

Best of Luck!

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

Know more about "Horner's algorithm" here:-

https://brainly.com/question/5150902#

#SPJ11

The values of the variables are computed below

Find x

This is calculated as

16x + 1 + 35 = 180 ---- sum of adjacent angles in a parallelogram

Evaluate

16x = 144

Divide

x = 9

Find x and y

This is calculated as

3x + 4 = 16

y - 60 = 56

Evaluate

3x = 12 and y = 60 + 56

So, we have

x = 4  and y = 106

Find x

This is calculated as

43x - 1 = 85 ----  opposite angles in a parallelogram

Evaluate

43x = 86

Divide

x = 2

Find m and n

This is calculated as

2n - 1 = 9

m + 8 = 3m

Evaluate

n = 5 and m = 4

Find CBE

This is calculated as

21x - 5 + 4x + 1 + 34 = 180 --- sum of angles in a triangle

Evaluate

25x = 150

So, we have

x = 7

From the figure, we have

CBE = 34 + 4x + 1

CBE = 34 + 4 * 7 + 1

CBE = 63

Find JKL

This is calculated as

10x + 14 + 50 + 36 = 180 --- sum of angles in a triangle

Evaluate

10x = 80

So, we have

x = 8

From the figure, we have

JKL = 10x + 14

JKL = 10 * 8 + 14

JKL = 94

Find x

This is calculated as

2(2x - 13) = 14

So, we have

2x - 13 = 7

This gives

2x = 20

So, we have

x = 10

Find V

This is calculated as

7x  - 2 + 8x + 2 = 180 ---- sum of adjacent angles in a parallelogram

So, we have

15x = 180

This gives

x = 12

So, we have

V = 8x + 2

V = 8 * 12 + 2

V = 98

Find x and y

This is calculated as

y + 10 = 2y - 40

y = 50

Next, we have

4x + y + 10 = 180

4x + 50 + 10 = 180

Evaluate

4x = 120

So, we have

x = 30

Read more about Parallelogram at

https://brainly.com/question/970600

#SPJ1

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

The two cars (a and b) will be 800 km apart after 10 hours.

The average speed of a car is the total distance traveled by a car within a specific period of covering such distance.

From the given information:

The distance between both cars will be the hours they will meet:

i.e.

\(\mathbf{(v_a \times t)+(v_b\times t)= 800 \ km}\)

\(\mathbf{(30 \times t)+(50\times t)= 800 \ km}\)

30t + 50t = 800

80t = 800

t = 800/80 hrs

t = 10 hrs

Learn more about the average speed of a car here:

https://brainly.com/question/6504879

#SPJ1

Answer:

The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept

Hi,

Answer:

k = \(\frac{23}{2}\)

Step-by-step explanation:

Subtract 4k from both sides

6k - 4k = 2k

2k - 8 = 15

Add 8 on both sides (you want to get rid of the 8 in order to leave the k alone)

2k = 23

k = 23/2

Have a good day!

Answer:

\(k=23/2=11.5\)

Step-by-step explanation:

So we have the equation:

\(6k-8=4k+15\)

Add 8 to both sides. The left side cancels:

\(6k=4k+23\)

Subtract 4k from both sides. The right side cancels:

\(2k=23\)

Divide both sides by 2:

\(k=23/2=11.5\)

And we're done!

Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

For more such matrices related questions

https://brainly.com/question/29108022

#SPJ11

Answer:

6x+12

Step-by-step explanation:

2(5x+3)-2(2x-3)

(10x+6)-(4x-6)

10x+6-4x+6

6x+12

Step-by-step explanation:

1.  2(5x + 3) - 2(2x - 3)

10x + 6 - 2(2x - 3)

2. 10x + 6- 2(2x - 3)

3. 10x + 6 - 4x + 6

10x + 12 - 4x

4. 10x + 12 - 4x

6x + 12

The graph of f(x) = 2(x - 3)² + 4 opens up.

The graph of f(x) = -2(x - 3)² + 4 opens down.

The graph of f(x) = 3(x - 3)² + 4 is more narrow than the graph of f(x) = (x - 3)² + 4.

The graph of f(x) = 1/3(x - 3)² + 4 is more wide than the graph of f(x) = (x - 3)² + 4.

Since the leading coefficient in the given quadratic function f(x) = 2(x - 3)² + 4 is positive 2, the parabola will open upward and at the vertex (3, 4). Also, the value of the quadratic function f(x) would be minimum.

On the other hand, since the leading coefficient in the given quadratic function f(x) = -2(x - 3)² + 4 is negative 2, the parabola will open downward and at the vertex (3, 4). Also, the value of the quadratic function f(x) would be maximum.

Generally speaking, the larger the absolute value of the leading coefficient of a quadratic function, the narrower would be graph of its parabola and vice-versa.

|a| = |3| = -3

|a| = |1| = -1 ⇒ -1 > -3 (narrower).

|a| = |1/3| = -1/3

|a| = |1| = -1 ⇒ -1 < -1/3 (wider).

Read more on parabola here: brainly.com/question/27814369

#SPJ1

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

To learn more about trigonometric click on :

brainly.com/question/29156330

#SPJ11

The linear approximation of sin(5π/12) is approximately 0.9035.

The linear approximation of f(x) = sin(x) at x = π/3 can be found using the formula:

L(x) = f(a) + f'(a)(x-a)

where a =π/3, f(a) = sin(π/3) = √(3)/2, and f'(x) = cos(x), so f'(a) = cos(π/3) = 1/2.

Plugging these values into the formula, we get:

L(x) = √(3)/2 + (1/2)(x-π/3)

L(5π/12) can be approximated using this linear approximation:

L(5π/12) = √(3)/2 + (1/2)(5π/12 - π/3) = √(3)/2 + (1/2)(π/12)

Simplifying this expression gives:

L(5π/12) = √(3)/2 + π/24 ≈ 0.9035

Therefore, the linear approximation of sin(5π/12) is approximately 0.9035.

Learn more about Linear approximation

brainly.com/question/30881351

#SPJ11

Answer:

86°

Step-by-step explanation:

As we know that when a transversal intersects two parallel line , then the sum of co-interior angles is 180° . Hence here one of the two co-interior angles is 94° and we are are interested in finding the second one . So , let the unknown angle be x , then ;

\(\implies \rm x + 94^\circ = 180^\circ \)

Subtract 94° from both sides,

\(\implies \rm x = 180^\circ -94^\circ\)

Simplify,

\(\implies \rm \underline{\underline{x = 86^\circ}}\)

Hence the required answer is 86°

The equivalent expression of the product expression \(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\) is \(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

The expression is given as:

\(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\)

Rewrite the expression as a product

\(\frac{m^3}{m^2 - 16} * \frac{m^4}{m^2 - 9}\)

Evaluate the product

\(\frac{m^7}{(m^2 - 16)(m^2 - 9)}\)

Rewrite the denominator as a difference of two squares

\(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

Hence, the equivalent expression of the product expression \(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\) is \(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ4

Answer:

Step-by-step explanation:

1).

(a). Yes, the graph is linear.

(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2

2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)

The length of the longer base of the trapezoid could be 0.75 units, \(\frac{7}{3}\) units, 4 units.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

Given: The original length of trapezoid= 6 units

The scale factor of less than 1

So, compare the given lengths with the trapezoid longer base length,

0.75 units<6 units

\(\frac{7}{3}\) units<6 units

8.75 units< 6 units

But, 12 units> 6 units

Therefore, the length of the longer base can be 0.75, \(\frac{7}{3}\), 4 units.

To know more about trapezoids, visit:

https://brainly.com/question/4758162

#SPJ4

The complete question is:

“ Qusai made a scaled copy of the following trapezoid. He used a scale factor less than 1.What could be the length of the longer base of the scaled copy of the trapezoid?

Choose 3 answers:

Answer:

y = -2x + 16

Step-by-step explanation:

y = mx + b

__________

y + 2x = 16

y + 2x - 2x = 16 - 2x

y = -2x + 16

Answer:

Y=-2x+16

Step-by-step explanation:

PLS GIVE BRAINLIEST

Note that the light is about 9.17 x 10³ times faster than sound. See the explanation below.

To arrive a the above, we only need to simplify Jakes observation as follows

\(\frac{1.1 * 10^{9} km/h }{1.2 * 10^{3}km/h }\)

dividing the coefficients

1.1/1.2 = 0.91666666666

0.91666666666 x 10 ⁹⁻³

= 9.1666667 x 10 ⁵

further simplified, we have
9.17 x 10³

Thus, we can summarize that light is about 9.17 x 10³ faster than the speed of sound going by Jake observation.

Learn more about Speed of Light:
https://brainly.com/question/29216893
#SPJ4

Full Question:

Jake noted that speed of light is approximately 1.1 × 10⁹ km/h;

the speed of sound is approximately 1.2 x 10³ km/h; and

11 + 12 = 0.916.

Using Jake's figures how many times faster is light than speed?

Write your answer in standard form.

If you made a total of 63 posts, it takes 126 days.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

To make a post, it takes two days.

You made a total of 63 posts.

The number of days,

= 2 x 63

= 126

Therefore, time taken is 126 days.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ1

The complete question:

To make a post, it takes two days.

If you made a total of 63 posts, how many days did it take?

Pairwise comparison voting, also known as Condorcet voting, satisfies both majority rule and pairwise victory (the Condorcet criterion).

1. Pairwise comparison: In pairwise comparison voting, each candidate is compared to every other candidate in a head-to-head contest. Voters rank the candidates in order of preference, and the outcomes of these individual contests are used to determine the overall winner.

2. Majority rule: Majority rule is satisfied in pairwise comparison voting because, in each head-to-head contest, the candidate who receives more than 50% of the votes is considered the winner. This ensures that the candidate with the majority of votes in each comparison is acknowledged as the preferred choice.

3. Pairwise victory (Condorcet criterion): The Condorcet criterion states that if there is a candidate who can beat every other candidate in a one-on-one contest, that candidate should be the overall winner. Pairwise comparison voting satisfies the Condorcet criterion because it directly compares each candidate against all others, ensuring that any candidate who consistently wins these head-to-head contests is recognized as the overall winner.

In conclusion, pairwise comparison voting (Condorcet voting) satisfies both majority rule and pairwise victory (the Condorcet criterion) by comparing candidates in head-to-head contests, ensuring that the candidate with the majority of votes in each contest is acknowledged as the preferred choice, and recognizing any candidate who consistently wins these head-to-head contests as the overall winner.

Learn more about Condorcet voting here: brainly.com/question/15581499

#SPJ11

Answer:

$20

Step-by-step explanation:

if you look at the lowest point in the graph and match it up with the y intercept (the cost) then the answer is $20.

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6