What is the multiplicative inverse of 1/13?

Angle A coincides with angle E.

Angle B coincides with angle D.

Segment AC coincides with segment EF.

Segment AB coincides with segment ED.

Any geometric transformation of a euclidean space that keeps the euclidean distance between every pair of points is referred to as a rigid transformation.

Rotations, translations, and reflections are some examples of rigid transformations.

If we observe the given preimage and image we can conclude that the triangle is rotated about 90° counterclockwise.

∴ Points, A = E, B = D , C = F from this we can conclude that

Angle A coincides with angle E.

Angle B coincides with angle D.

Segment AC coincides with segment EF.

Segment AB coincides with segment ED.

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There are a few ways to find discontinuities in a function. One way is to look for places where the function is not defined or where it produces an undefined result, such as division by zero. Another way is to look for places where the function exhibits a sudden change in behavior, such as a jump or a sharp turn.

To find discontinuities more formally, you can use mathematical techniques such as limits or derivatives. If you are familiar with these concepts, you can use them to identify discontinuities in a function.

For example, if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.

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if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.

Answer:

She buys 120 buttons, if you divide 8 by 120 you get 15, so she buys 15 red bags,20 silver bags,and 24 gold bags.

Answer:1

Step-by-step explanation if c is for 6 its 1 p

Answer:

C/6

Step-by-step explanation:

you have c pieces to share with 6 friends.

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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Answer:

A

C

D

Step-by-step explanation: Every other answer is wrong

Answer:

A, C,

Step-by-step explanation:

Answer:

y=3. (-1)-1

y= -3-1

y= -4

Step-by-step explanation:

Answer:

3, 6, 9 (the multiples of three within 11)

3 out of 11 numbers are multiples of 3

so you have a 3 out of 11 probability to grab a multiple of three

3/11 is your answer

Step-by-step explanation:

Probability of picking a ball of multiple of 3 is equals to (3/11).

" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = \(\frac{Number of favourable outcomes}{Total number of outcomes}\)

According to the question,

'B' represents the ball

Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}

favourable outcomes multiple of 3 = { B₃, B₆, B₉}

Total number of outcomes= 11

Number of favourable outcomes = 3

Substitute the value in the formula we get,

Probability of picking ball multiple of 3 = ( 3 / 11)

Hence, probability of picking a ball of multiple of 3 is equals to (3/11).

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Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

The volume of the composite solid in terms of pi and using 3.14 as pi are 1125π cubic inches and 3532.5 cubic inches respectively

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes

The volume of the composite cylinder is expressed as shown below;

V = πr²h

where

r is the radius

h is the height

According to the given diagram;

V = Vl - Vs

V = π(10)²*15 -  π(5)²*15

V = 1500π - 375π

V = 1125π cubic inches

If the value of π is 3.14, hence;

V = 1125(3.14) cubic inches

V = 3532.5 cubic inches

The volume of the composite solid in terms of pi and using 3.14 as pi are 1125π cubic inches and 3532.5 cubic inches respectively

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The answer statements,

a) True

b) False

c) True

IHI Insurance in the given question is implemented using the linear regression analysis because it is used in the question to calculate the value of the number of yearly claims led by policyholders for motor insurance (y) (x2).

As per the question, at random 500 policyholders were selected.

The range of ages of people are between 16 to 70 years

The price range for the cars is between $1100 to $52000

According to the linear regression equation given in the question,

⇒ I = 13 + (-0.5)x1i + (0.1)x2i

a) \(y^{i}\) = 13 + (0.5)x1i + (0.1)x2i

Given, x1i = 26, x2i = 20

⇒ \(y^{i}\) = 13 + (-0.5)(26) + (0.1)(20)

⇒ \(y^{i}\) = 2

Thus, it is not equal to the claim i.e. 28, so option b is false

According to the answer derived in option b,

We can see that the coefficient of x 1i is negative and such that it will be decreased by 0.5

Thus, option a is true

Now as the coefficient of x 2i is positive it will increase by 0.1

Thus, option c is true

Therefore, option a) is true, option b) is false and option c) is true.

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IHI Insurance has conducted a multiple linear regression analysis to predict the value of the number of annual claims incurred by a motor insurance policyholder (y)based on the age of the policyholder in years (x1) and the value of the car insured in thousands of dollars (x2). The analysis was based on a random sample of 500 policyholders. The ages in the sample ranged from 16 to 70 and the values of the cars in the sample ranged from $1,100 to $52,000. The multiple linear regression equation corresponding to IHI's analysis is y^i = 13 + (-0.5)x1i + (0.1)x2i.

Select whether the following statements regarding the multiple linear regression equation are true or false:

a 26-year-old policyholder with a car worth $20,000 is predicted to make 28 claims.

b) holding x2 constant, a one-year increase in x1 will result in a decrease of 0.5 in the predicted value of y.

c) holding x1 constant, a one thousand dollar increase in x2 will result in an increase of 0.1 in the predicted value of y.

Answer:

5x

Step-by-step explanation: x + y + 2x + 2y + 4x + 5z

x + 4x + 2x + y + 2y + 5z

7x + 3y + 5z

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

Step-by-step explanation:

corresponding angles (CA)

Alternative interior angles (AIA)

co interior angles (CIA)

5 + 3 = 180 ( CIA)

83⁰ + 3 = 180

angle 3 = 180 - 83⁰

angle 3 = 97

angle 8 = angle 3.... CA

angle 8 = angle 16 ....CA

ANGLE 16 = ANGLE 12.....CA

angle 5 = angle 13 ....CA

ANGLE 3 = Angle 6......AIA

ANGLE 5 = ANGLE 4.......AIA

ANGLE 4 = ANGLE 7......CA

ANGLE 6 = ANGLE 1......CA

ANGLE 13 = ANGLE 9......CA

ANGLE 12 = ANGLE 14.....AIA

ANGLE 13 = ANGLE 11.....AIA

ANGLE 14 = ANGLE 10.......CA

ANGLE 11 = ANGLE 15

NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....

QUESTION 2 :

ANGLE 1 = ANGLE 7 .......AIA

2X + 40 = 6X - 20

40 + 20 = 6X - 2X

60 = 4X

60/4 = X

15⁰ = X

SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰

AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰

ANGLE 7 = ANGLE 3 ......CA

ANGLE 3 = ANGLE 5 .....AIA

ANGLE 3 + ANGLE 6 = 180 .....CIA

70 + ANGLE 6 = 180⁰

ANGLE 6 = 180 - 70⁰ = 110⁰

angle 2 = Angle 6

ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE

ANGLE 8 = ANGLE 4

NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....

Did I really jst got 15 points for this (ノ｀Д´)ノ彡

HEHEEE JK:)

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

C. X = -2

E. X = 2

Step-by-step explanation:

16(-4)² = 64

16(16) = 64

256 = 64 (false)

16(4)² = 64

16(16) = 64

256 = 64 (false)

16(-2)² = 64

16(4) = 64

64 = 64 (true)

16(-8)² = 64

16(64) = 64

1024 = 64 (false)

16(2)² = 64

16(4) = 64

64 = 64 (true)

16(-64)² = 64

16(4096) = 64

65356 = 64 (false)

Answer:

C. ( x - 4 ) ( x - 5 )

Step-by-step explanation:

\(x^2-9x+20\)

\(= (x-4)(x-5)\)

Answer:

7 min

Step-by-step explanation:

Answer:

7 Minutes

Step-by-step explanation:

If you divide 42 by 6, you get 7.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

28

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2                

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Note that if a tomato has a mass of 100 grams and the mass of the ant is 4.0x10⁻³gram, then the mass of the tomato is 25,000 times greater than the mass of the ant.

The expression for finding the extent to which the Mass of the tomato is greater than that of the ant is given as follows:

100/4.0x10⁻³

= [100 x 10³] / 4.0x10⁻³ x 10³

= 100,000/4

= 25,000

Therefore, the tomato is 25,000 times the mass of the ant.

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Answer:yes 2.5* 10-2

Step-by-step explanation:

The responsibility of group leaders in assisting members in the development of their personal goals should be done in a "facilitative" manner.

When group leaders assist members in their personal goal development, being facilitative means they take on a supportive role that empowers individuals to identify and work towards their goals effectively. Rather than imposing their own goals or solutions, facilitative leaders create an environment that encourages open communication, active listening, and collaboration.

Facilitative leaders help members explore their aspirations, clarify their goals, and break them down into actionable steps. They provide guidance, resources, and feedback, while also promoting autonomy and self-directed learning. They create a safe space for individuals to share their goals, seek advice, and engage in discussions with other group members.

By adopting a facilitative approach, group leaders can empower individuals to take ownership of their personal goals, foster a sense of motivation and accountability, and promote personal growth and development within the group dynamic. This approach recognizes that each individual has unique aspirations and needs, and it aims to support their journey towards achieving those goals in a collaborative and empowering manner.

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Prime numbers are numbers that can only be divided by itself and 1. The largest possible prime number that fits the scenario is 113

Let the prime numbers be p1 and p2, where p1 > p2; and the odd numbers be x1 and x2

So, we have:

\(p_1 + p_2 + x_1 + x_2 = 128\)

The largest prime number less than 128 is 127.

If \(p_1 = 127\), then

\(p_1 + p_2 + x_1 + x_2 = 128\) becomes

\(127 + p_2 + x_1 + x_2 = 128\)

\(p_2 + x_1 + x_2 = 128-127\)

\(p_2 + x_1 + x_2 = 1\)

This is not possible, because three positive integers cannot add up to 1

The next largest prime number is 113

If \(p_1= 113\), then

\(p_1 + p_2 + x_1 + x_2 = 128\) becomes

\(113 + p_2 + x_1 + x_2 = 128\)

Collect like terms

\(p_2 + x_1 + x_2 = 128-113\)

\(p_2 + x_1 + x_2 = 15\)

Let \(p_2 = 3\)

\(p_2 + x_1 + x_2 = 15\) becomes

\(3 + x_1 + x_2 = 15\)

Collect like terms

\(x_1 + x_2 = 15-3\)

\(x_1 + x_2 = 12\)

\(x_1\) and \(x_2\) are odd numbers.

So, we have:

\(x_1 = 5\\x_2 =7\)

This is true because

\(x_1 + x_2 = 12\)

\(5 + 7 = 12\)

Hence, the largest of the possible primes is 113

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The work done by the force is approximately 1.9 Joules.

The force experienced by an object moving along the parametrized curve r(t) = t, t², t³ with 0 ≤ t ≤ 1

when the force is given by f = 2x²y, -xz, 2z can be computed using the equation,W = ∫F.dr,where F is the force vector and dr is the displacement vector of the object.

Therefore, the work done by the force is given byW = ∫F.dr = ∫(2x²y, -xz, 2z).(dx, dy, dz)

Here, we need to express the given parametric equation of the curve in terms of x, y, and z.t = x, t² = y, t³ = z.

Then, dx = dt, dy = 2tdt, dz = 3t²dt.

Substituting these values, we haveW = ∫(2x²y, -xz, 2z).(dx, dy, dz)= ∫(2x²t², -x.t³, 2t³).(dt, 2tdt, 3t²dt)= ∫(2t².x² + 6t⁵)dt = [2/3.t³.x² + 1/2.t⁶]₁₀= (2/3.1³.x² + 1/2.1⁶) - (2/3.0³.x² + 1/2.0⁶)= 2/3.x² + 1/2.≈ 1.9J

Therefore, the work done by the force is approximately 1.9 Joules.

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Answer:

Probability = (Expected number alive at age 20) / (Expected number alive at age 19)

Probability = 99,894 / 99,897

Probability ≈ 0.99997

Therefore, the probability that a 19-year-old will be alive in 1 year, based on the provided mortality table, is approximately 0.99997, or 99.997%.

The statistical significance of the overall model fit is determined by the p-value for the F-statistic in a regression model.

In further detail, it provides us with the likelihood that, under the null hypothesis that the genuine coefficients in the model are all zero, we will see an F-statistic that is at least as severe as the one estimated from the data.

The widget cost regression model would be considered statistically significant if the F-statistic had a low p-value (usually less than 0.05) and at least one of the predictor variables had a significant linear connection with the response variable.

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Answer:

I think it is 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph

Answer

x = 18 cm

Step-by-step explanation:

Here, we want to calculate the value of x

let half of x = b

so b is the base of each right-triangle

As we can see, the triangle is isosceles

we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length

According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

15^2 = 12^2 + b^2

225 = 144 + b^2

b^2 = 225-144

b^2 = 81

b = √81

b = 9

but x = 2b

x = 2(9)

x = 18 cm