A, B and Care points on the circumference of a circle with centre O.
LACB = 74°
74
Diagram not drawn to scale
Calculate the value of x.
(4 marks)
0x =
Submit Answer
O

The number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016.

Mrs. Sanders received a call from each of her three grandchildren on December 31, 2016. Let's suppose the number of days that pass between the calls made by the first, second, and third grandchildren are a, b, and c days, respectively. The first grandchild calls her every three days, so the next time the grandchild would call would be on January 3, 2017 (3 days after December 31, 2016). Similarly, the second grandchild calls her every four days, so the next time the grandchild would call would be on January 4, 2017 (4 days after December 31, 2016). Lastly, the third grandchild calls her every five days, so the next time the grandchild would call would be on January 5, 2017 (5 days after December 31, 2016). Therefore, the first call in 2017 would be on January 3, 2017, and the next call would be made after (LCM of 3, 4, and 5) - 1 days.

Here, the LCM of 3, 4, and 5 is 60, and so the first time she does not receive a call would be on the 61st day (February 28, 2017) because February has only 28 days (29 days in leap year).In the year 2017, Mrs. Sanders would receive calls on 6th, 8th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of January;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 17th, 19th, 21st, 22nd, 24th, 26th, 27th of February;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of March;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of April;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of May;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of June;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of July;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of August;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of September;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of October;

on 1st, 3rd, 4th, 6th, 8th, 9th, 11th, 13th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 30th of November;

on 2nd, 4th, 6th, 7th, 9th, 11th, 12th, 14th, 16th, 18th, 19th, 21st, 22nd, 24th, 26th, 27th, 29th, 31st of December.

Therefore, the number of days during the next year when she did not receive a phone call from any of her grandchildren was 304. (i.e., 365-61).

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Answer:

Step-by-step explanation:

c

Answer:

C

W'(-3, 4), X'(-1, 0), Y'(-5, 1), Z'(-4, 4)

Step-by-step explanation:

yea

Answer:

(6,-9) is a solution.

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

        x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

      -2y = 18

         y = -9

Given:

Find-:

The scale factor

Explanation-:

The scale factor is:

So, the scale factor is:

The scale factor is 8.

Answer:

you use disputation

Step-by-step explanation:

4 times 3x = 12x

4 times 6 = 24

David is completing a Rorschach test, which is a type of projective psychological assessment. The test consists of a series of inkblots presented to the participant, and their responses are analyzed by the researcher to gain insights into their personality, thought processes, and emotional functioning.

The Rorschach test is a widely used tool in clinical psychology and has been subject to much controversy and debate over its validity and usefulness in assessment.

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To show that powertm is undecidable, we will reduce the acceptance problem of an arbitrary Turing machine to powertm.

Let M be an arbitrary Turing machine and let w be a string. We construct a new Turing machine N as follows:

N starts by computing the binary representation of |w|.

N then simulates M on w.

If M accepts w, N generates a sequence of |w| 1's and halts. Otherwise, N generates a sequence of |w| 0's and halts.

Now, we claim that N is in powertm if and only if M accepts w.

If M accepts w, then the length of the binary representation of |w| is a power of 2. Moreover, since M halts on input w, the sequence generated by N will consist of |w| 1's. Therefore, N is in powertm.

If M does not accept w, then the length of the binary representation of |w| is not a power of 2. Moreover, since M does not halt on input w, the sequence generated by N will consist of |w| 0's. Therefore, N is not in powertm.

Therefore, we have reduced the acceptance problem of an arbitrary Turing machine to powertm. Since the acceptance problem is undecidable, powertm must also be undecidable.

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The length of the diagonal is 12.6 feet.

"Information available from the question"

The perimeter of a rectangle is 32 feet.

The length is three times as long as the width.

We have to find the length of the diagonal.

Let w = width

then

3w = length.

Because we know the perimeter:

Perimeter of the rectangle is : 2(l + w)

32 = 2(w + 3w)

32 = 2(4w)

16 = 4w

4 feet = w (width)

Length:

3w = 3(4) = 12 feet

Diagonal, we use the Pythagorean theorem:

Let d = diagonal

then,

\(d^2 = 4^2 + 12^2\)

\(d^2\) = 16 + 144

\(d^2\) = 160

d = 12.6 feet

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The greatest common divisor (gcd) of 144 and 89 can be expressed as a linear combination of 144 and 89 as follows: gcd(144, 89) = 1 = (-21) * 144 + 34 * 89.

To express the gcd (144, 89) as a linear combination of 144 and 89, we can use the extended Euclidean algorithm. This algorithm finds the gcd of two numbers and also provides coefficients that represent the linear combination.

We start with the given numbers: a = 144 and b = 89.

Apply the Euclidean algorithm to find the gcd:

Divide 144 by 89: 144 = 1 * 89 + 55

Divide 89 by 55: 89 = 1 * 55 + 34

Divide 55 by 34: 55 = 1 * 34 + 21

Divide 34 by 21: 34 = 1 * 21 + 13

Divide 21 by 13: 21 = 1 * 13 + 8

Divide 13 by 8: 13 = 1 * 8 + 5

Divide 8 by 5: 8 = 1 * 5 + 3

Divide 5 by 3: 5 = 1 * 3 + 2

Divide 3 by 2: 3 = 1 * 2 + 1

Divide 2 by 1: 2 = 2 * 1 + 0

The last non-zero remainder obtained is 1, which means the gcd is 1.

Now, we work backwards through the algorithm to find the coefficients:

From 3 = 1 * 2 + 1, we can express 1 as a linear combination of 2 and 3: 1 = 3 - 1 * 2

Substitute 2 = 5 - 1 * 3 from the previous step: 1 = 3 - 1 * (5 - 1 * 3) = 2 * 3 - 1 * 5

Continue substituting until we reach the original numbers:

1 = 2 * 3 - 1 * 5 = 2 * (5 - 1 * 3) - 1 * 5 = 2 * 5 - 3 * 5 = 2 * 5 - 3 * (8 - 1 * 5)

Repeat until we get the desired linear combination:

1 = 2 * 5 - 3 * (8 - 1 * 5) = 2 * 5 - 3 * 8 + 3 * 5 = (-3) * 8 + 5 * 5 - 3 * 8 = 5 * 5 - 6 * 8

Substitute 8 = 13 - 1 * 5: 1 = 5 * 5 - 6 * (13 - 1 * 5) = 11 * 5 - 6 * 13

Repeat the process until we reach the original numbers:

1 = 11 * 5 - 6 * 13 = 11 * (13 - 1 * 8) - 6 * 13 = 11 * 13 - 11 * 8 - 6 * 13 = (-17) * 8 + 11 * 13

Substitute 13 = 21

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Answer:

\(-16\), \(10\)

Step-by-step explanation:

To get the coefficients, we first need to factor the expressions

\((2x-4)^{2}\)

\((2x-4)(2x-4)\)

\(4x^{2}-16x+16\)

The coefficient of x is -16

\((x+3)(x^{2}+7x+8)\)

\(x^{3}+10x^{2}+29x+24\)

The coefficient of x² is 10

plz mark me brainliest. :)

Answer:

they are congruent

Step-by-step explanation:

both have the same size and angles, one is just translated

Answer:

Step-by-step explanation:

f(x) = x³+6

f(3) = 3³+6 = 33

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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In a case whereby the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, the lenght or how high up in the air  is 73.6 feet

We know that the length of the slide AB is 89 feet, and the angle of depression from A to B is 42 degrees. We want to find the height h of point A above the ground.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is h (the height we're looking for), and the adjacent side is AB (the length of the slide). So we can write base on trigonometery as ;

tan(42) = h / 89

h = 89 * tan(42)

h ≈ 73.6 feet

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Answer:

I think its B

Step-by-step explanation:

i hope this is right

Answer:

B

Step-by-step explanation:

"A function is a rule or correspondence by which each element x is associated with a unique element y." (mathculus.com)

Answer: No, it is not a direct proportion equation

Explanation:

Direct proportions are always in the form \(y = kx\) where k is any nonzero real number. So for example, we could have the equation \(y = 9x\). The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.

Something like \(y = \frac{2}{3}x-7\) has a y intercept of -7 and it doesn't fit the form \(y = kx\), so it's not a direct proportion equation.

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Word Problems: Word Problems are an important aspect of the primary modules because they require students to apply their understanding of different topics to “real-life” circumstances.

They also assist students in becoming familiarize with mathematical terminology like more, fewer, subtract, difference, altogether, equal, share, multiply, reduced, etc.

A word problem consists of a narrative of a real-life scenario where a mathematical calculation is required to solve a problem.

Students need to learn how to solve word problems as it enables them to apply mathematical concepts to various real-life layout.

This means that to understand the word problem, students must be familiar with the terminology linked with the mathematical symbols they are used to. Let us learn in detail about Word Problems in this article.

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Answer: $382.25

Step-by-step explanation: Subtract 68.50 from 164.25, then add 286.50.

Answer:

B

Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept

The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.

A slope is a ratio that describes the steepness and the direction of a line.

The y-intercept is the point at which a line touches the y-axis. This means that x=0.

Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.

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The measures of the exterior angels of a hexagon are x°,3x°,8x°,9x°, and 10x°. The measure of the smallest exterior angle is 11.61°

A polygon's outside angles are created by extending one of its sides and its opposite side. 360 degrees is the total of all the outside angles of a polygon. The term "polygon" is already familiar to you. A flat figure with three or more line segments and an enclosed perimeter is referred to as a polygon. The line segments are referred to as the sides, and the intersection of two sides is referred to as the polygon's vertex.

We have 6 sides in hexagon , so sum of all the exterior side of regular hexagon is given by,

6 x 60 = 360°

The sum of all exterior angle of Hexagon is 360

Therefore,

x + 3x + 8x + 9x + 10x = 360

31x = 360

x = 11.61

Therefore, the measure of the smallest angle is, 11.61°

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1. The jackrabbit runs at a constant rate, as the rate between the output and the input for each point on the table is constant.

2. The squirrel runs at a constant rate, as the graph is that of a linear function with a constant slope.

3. The rate of the jackrabbit is of 44 miles per hour.

4. The rate of the squirrel is of 11 miles per hour.

5. A.

B. The jackrabbit ran the fastest.

6. In three hours, the fastest animal will have run 99 miles further than the slowest animal.

7. The point (0,0) means that all the animals, the jackrabbit, the gray fox and the squirrel start from the origin.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The rates for the jackrabbit are given as follows:

k = 22/0.5 = 44/1 = 44 miles per hour.

This is also equals to k = 0/0, which can assume any value, and the point (0,0) means that all the animals, the jackrabbit, the gray fox and the squirrel start from the origin.

The rate for the squirrel is given as follows:

k = 11/1 = 11 miles per hour.

(as the graph passes through point (1, 11)).

The difference between the rates of the fastest and of the slowest animal is given as follows:

44 - 11 = 33 miles per hour.

Hence in three hours, the distance is given as follows:

3 x 33 = 99 miles.

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Answer:

90 words

Step-by-step explanation:

Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.

30 words per minute x 3 minutes = 90 words

Answer:

there is approximately 2.86% chance (or 3%)

Step-by-step explanation:

For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The demand and supply equations for overhead projectors in a certain market.

In these equations, p represents price, D represents demand, and S represents supply.

\(\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131\)

For the equilibrium, the value of supply and the value of demand will be equal. Then we have

\(\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}\)

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Answer: B. 15

Step-by-step explanation: edge 2022 i got it right

Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line

Take into account that based on the similar sides of both triangles, you can notice that side RQ is similar to side VU (it is becasue the angles of he vertices of these sides are equal).

Then, you can conclude that the length of RQ is equal to the length of VU.

Hence, RQ = VU = 50 ml

Answer:

i hope number c is correct answer

The rule which describes the composition of transformations is reflection around y axis and translation of (6, -5).

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle BCD has the coordinates equal to,

B(1, 4), C(1, 2) and D(5, 3).

Let the triangle be reflected around the Y axis.

A point (x, y) after the reflection over the Y axis changes to (-x, y).

The coordinate points are,

B'(-1, 4), C'(-1, 2) and D'(-5, 3).

Now let the triangle be translated to (6, -5).

The coordinates of the triangles are,

B''(-1+6, 4-5), C''(-1+6, 2-5) and D''(-5+6, 3-5)

B''(5, -1), C''(5, -3) and D''(1, -2).

This is the exact coordinates of triangle B''C''D''.

Hence the correct transformation is reflection around y axis and translation of (6, -5).

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Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

-------------------------

4 = t1+ 5d

+4 =- t1 -d9

-------------------------

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

Answer:

slope=-2/5

Step-by-step explanation:

rise -2

run 5