If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of

The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

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Answer:

-5/2

Step-by-step explanation:

for perpendicularity;

\(m1 = \frac{ - 1}{m2} \)

where m1 is first slope

and m2 is second slope

so here, let m1 be green line slope

and m2 be red line slope

thus,

\(m2 = \frac{ - 1}{m1} \)

\(m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} \)

\( = - 1 \times \frac{5}{2} = \frac{ - 5}{2} \)

Answer:

35/24

Step-by-step explanation:

You get both sides with a common denominator which was 24 and then you add. hope this helps :)))

Answer:

35/24

=  

1 11/24

Step-by-step explanation:

The Least Common Multiple (LCM) of 6 and 8 is 24. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM

Now that the fractions have like denominators, add the numerators

35 ÷ 24 = 1R11, therefore

Answer:

Speed of boat in still water=8km/hr

Speed of stream=3km/hr

Step-by-step explanation:

Speed of boat in still water=x km/hr

Speed of stream=y km/hr

Speed of upstream=x-y km/hr

Speed of downstream=x+y km/hr

Let 1/(x-y)=a and 1/(x+y)=b

Time to go 25km up and 44 down=9

25a+44b=9----->(1)

Time to go 15km up and 22km down=5

15a+22b=5------>(2)

(2) × 2=> 30a+44b=10------>(3)

(3)-(1)=>5a=1

a=1/5

1/(x-y)=1/5

x-y=5---->(4)

Putting a=1/5 in (1),

5+44b=9

44b=4

b=1/11

1/(x+y)=1/11

x+y=11---->(5)

(4)+(5)=>2x=16

x=8

y=3

Speed of boat in still water=8km/hr

Speed of stream=3km/hr

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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If particular shipment of thousands of components actually has a 7% rate of defects, there is a 54.29% probability that this whole shipment will be accepted.

According to the company's acceptance sampling plan, 25 components are randomly chosen and tested from a shipment before the entire batch is accepted if there are no more than three defects. The probability of choosing a defective component from a sample of 25 is computed as follows, assuming that the shipment genuinely has a 7% defect rate:

P(defective) = 0.07

P(non-defective) = 0.93

Using the binomial distribution, we can calculate the probability of having 0, 1, or 2 defectives in a sample of 25:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= (0.93)²⁵ + 25(0.07)(0.93)²⁵ + (0.07)²(0.93)²³

= 0.5429

This means that there is a 54.29% chance of having 2 or fewer defectives in a sample of 25. Since the whole shipment will be accepted if there are fewer than 3 defectives in the sample, this is the probability that the whole shipment will be accepted. Therefore, there is a 54.29% chance that the company will accept the shipment based on their acceptance sampling plan.

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Answer:

The value of this car is decreasing at a rate of 7%

The purchase price of the car is $23,400

Explanation:

The general equation of a value of a commodity over some time period can be shown as follows:

where :

V is the value at a certain year t

I is the initial or purchase value

r is the rate of increase or decrease

t is the time in years

It should be understood that if 1 + r is less than 1, then the value is decreasing over the years

Let us get the rate:

r is negative and that means there is a decrease at a rate of 7% (7% as a fraction is 7/100) yearly

Now, let us answer the questions

The value of this car is decreasing at a rate of 7%

The purchase price of the car is $23,400

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.

What is synthetic division?

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

We are given the expression as (n^3+3n^2-15n+19)

The expression is to be divided by (n-2)

So, by using the synthetic division, we get

2 |  1     3     -15      19    

     -     2      10     -10        

     1     5      -5       9    

Quotient =  n^2+5n-5

Remainder = 9

Hence, the quotient is n^2+5n-5 and the remainder is 9.

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If 18,793 is multiplied by 1000, then the product of this arithmetic equation will be equal to 18,793,000.

The arithmetic equations are the mathematical problems which includes simple functions such as addition (summation), subtraction, multiplication and division. The function of multiplication is also called as repeated addition. In the given question, the multiplicand is 18,793 and the multiplier is 1000 and the result which we get that is 18,793,000 is called as product.

The multiplicand is always written first. When the multiple of 10 is multiplied to any number, the general rule says that there is simple addition of zeroes in the right hand side of the number if is not in decimal form. If the number is in decimal form, the decimal point shift to the right hand side as many times as there are zeroes in the multiplier.

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SHOULD I START AOT?!?!?!

Answer:

eren or historia  >:)

Step-by-step explanation:

Answer:

I don't know what the answer is the picture isn't showing

Step-by-step explanation:

put the picture please

Answer:

Step-by-step explanation:

Let the wallpaper be a rectangle

Area of a rectangle = Length * Width

A = LW

Perimeter P = 2L+2W

If the wallpaper is sold in rolls that are 2 feet wide, then the width is 2 feet, to get the length, substitute W = 2 and P = 60 into the formula for calculating the perimeter of a rectangle.

60 = 2L + 2(2)

60 = 2L + 4

2L = 60-4

2L = 56

L = 56/2

L = 28

The minimum length that will be purchased to cover the wall is 28 feet

Answer:

419.5, D

Step-by-step explanation:

17x36=612

612 is the whole, you then subtract 9x16.5 or 148.5

463.5 is the remainder from that you subtract 44

to get 419.5

Answer:

Slope = -2

Step-by-step explanation:

(x₁, y₁) = (1 , 5) and (x₂ , y₂) = (3 , 1)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

          \(= \frac{1- 5}{3 - 1}\\\\=\frac{-4}{2}\\\\= - 2\)

Answer:

4 and (q − 18 + p)

Step-by-step explanation:

Given:

4(q−18+p)

The factors are

4 and (q − 18 + p)

A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.

For example. The factors of the expression 6x(y +2)

are 6, x and (y+2)

A table of critical values of t, also known as a t-distribution table, is a reference table used in statistical hypothesis testing to determine the critical values of the t-distribution for a degrees of freedom.

The table lists the critical values of the t-distribution for various degrees of freedom and significance levels. For a given level of significance (usually denoted by alpha), the table provides the critical t-value that corresponds to the degrees of freedom of the sample. The critical t-value is the minimum value of t that must be exceeded in order to reject the null hypothesis at the specified level of significance.

The t-distribution is similar to the standard normal distribution but has heavier tails, making it more suitable for small sample sizes. By using a table of critical values of t, statisticians and researchers can determine whether their t-statistic falls in the rejection region or not, and make conclusions about their hypothesis test.

It's important to note that the use of a t-distribution table assumes that the data being analyzed are normally distributed, and that the sample size is small. For larger sample sizes, a normal distribution table may be more appropriate.

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I'm pretty sure this is correct if so hope it helped:)

In a triangle ABC the value of side a is 13.12 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in a ΔABC, a/sinA = b/sinB = c/sinC.

GIven, In a ΔABC A = 29°, B = 36°, b = 15.8 cm.

∴ a/sinA = b/sinB.

a/sin(29°) = 15.8/sin(36°).

a/0.49 = 15.8/0.59.

a = (15.8×0.49)/0.59

a = 7.742/0.59.

a = 13.12.

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After the rotation, the point (-7, 3) becomes (7, -3). Therefore, the correct answer is option A: (7, -3).The rotation matrix can be used to rotate any point about the origin by multiplying the point's coordinates by the matrix.

The first row of the matrix gives the new x-coordinate, and the second row gives the new y-coordinate.

To find the image of a point after a rotation of 180 degrees clockwise about the origin, we need to apply the rotation matrix to the coordinates of the point. The rotation matrix for a 180-degree clockwise rotation is:

| cos(θ)  -sin(θ) |

| sin(θ)   cos(θ) |

Since we are rotating 180 degrees, the angle of rotation (θ) is π radians. Therefore, the rotation matrix becomes:

| cos(π)  -sin(π) |

| sin(π)   cos(π) |

Simplifying the values, we have:

| -1   0 |

|  0  -1 |

Now, let's apply this rotation matrix to the coordinates (-7, 3):

|-1  0|   |-7|   |7 |

| 0 -1| x | 3| = |-3|

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Seniors at Boston College and students in a first-semester business statistics course represent a population and a sample, respectively(C).

A population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In option c, the seniors at Boston College represent a population as they are the entire group of interest. On the other hand, the students in a first-semester business statistics course represent a sample because they are a subset of the population (seniors at Boston College) and are selected for analysis. So c is correct option.

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Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

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

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

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

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

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

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

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

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

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Step-by-step explanation:

Figure A is the triangular prism

Answer:

The answer is 2

Step-by-step explanation:

Y2-Y1/X2-X1

4-2/2-1

4-2 ( 2 )

2-1 ( 1 )

2/1 ( 2 )

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

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Answer:

1. x

2. 8-2x

3. width times 8-2x times x

4. Don't understand.

5. I don't know?

6. The volume is (6 - (2x))(8 - (2x))(x).

Step-by-step explanation:

The intensity of excercise increases the heart rate, that is, more intensity the excersice, greater the heart rate.

It means that there is a positive correlation between int

Answer: B.83

Step-by-step explanation:

Answer: B.83

Step-by-step explanation:

The number 2,158 is called the numerator or dividend, and the number 26 is called the denominator or divisor.

The quotient of 2,158 and 26, the ratio of 2,158 and 26, as well as the fraction of 2,158 and 26 all mean (almost) the same:

2,158 divided by 26, often written as 2158/26. 2,158 divided by 26 = 83

The result of 2158/26 is an integer, which is a number that can be written without decimal places.

   2158 divided by 26 in decimal = 83

   2158 divided by 26 in fraction = 2158/26

   2158 divided by 26 in percentage = 8300%

Macy had 3 appointments.

Logan had 5 appointments.

What is the quadratic equation?

A quadratic equation is a type of polynomial equation of degree 2, which is written in the form of "ax^2 + bx + c = 0", where x is the variable and a, b, and c are constants. The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac))/2a.

Part A:

Let x be the number of appointments Macy had.

We know that the total income (60x + 40) must equal 220.

Therefore, the equation representing the situation is:

60x + 40 = 220

To solve for x, we can subtract 40 from both sides:

60x = 180

Finally, we divide both sides by 60 to get:

x = 3

Macy had 3 appointments.

Part B:

Let y be the number of appointments Logan had.

We know that the total profit (70y + 50 - 20y) must equal 300.

Therefore, the equation representing the situation is:

50y + 50 = 300

To solve for y, we can subtract 50 from both sides:

50y = 250

Finally, we divide both sides by 50 to get:

y = 5

Logan had 5 appointments.

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The work done in pulling the rope to the top of the building is 57960 foot-pounds.

Mass of the rope = weight/g Gravity on Earth is 9.8 m/s² or 32.2 ft/s², mg = weight g , W = Fd where W is work, F is force, and d is displacement or distance. A force is needed to lift the rope from the ground to the top of the building. The mass of the rope can be determined as follows: m = (0.6 lb/ft) x 30 ft ⇒m = 18 lbs. The force needed to lift the rope from the ground to the top of the building can be determined using F = mg⇒ F = (18 lb) x (32.2 ft/s²)⇒F = 579.6 lb. The displacement is the vertical height that the rope is lifted over: d = 100 fts = 579.6 lb x 100 ft⇒W = FdW = (579.6 lb) x (100 ft)W = 57960 foot-pounds. Thus, the work done in pulling the rope to the top of the building is 57960 foot-pounds.

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