Answer the questions by drawing on the coordinate plane below.

(a) Draw the image of
ΔABC
∆ABC

under the dilation with scale factor 3 and the origin as the center of dilation. Label the image
ΔA'B'C'
∆A′B′C′

. Make sure to include the coordinates of A’, B’, and C’.

(b) Draw the image of
ΔDEF
∆DEF

under the dilation with scale factor
−12
−12

and the origin as the center of dilation. Label the image
ΔD'E'F'
∆D′E′F′

. Make sure to include the coordinates of D’, E’, and F’.

Answer:

The probability that the spinner will land on a number that is not a multiple of 11 is 73/80.

Multiples of 11 are 11,22,33,44,55,66,77.

That means there are 7 multiples of 11

80 -7 = 73

There are 73 non multiples of 11

P( non multiples of 8) = non multiples of 11 / total

                                  = 73/80

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

The likelihood that an event will occur is measured by probability. It is difficult to provide a complete prediction for many events. By employing it, we are only able to forecast the likelihood of an event, or how likely it is, to occur.

According to the probability formula, the likelihood of an event occurring, or P(E), is determined by the proportion of positive outcomes to all other outcomes.

To learn more about probability  from the given link:

brainly.com/question/11234923

#SPJ4

The rate of interest is 0.26%

Given,

The amount borrowed by Fred to start a new e-commerce business = $13100.

Time of investment = 13 years.

Interest for the money = $3916.90

We have to calculate the rate of interest.

For simple interest, equation is:

P = IRT

Where,

P = Principal amount

R = Rate of interest

I = Interest

T = Time period

Here,

P  = 13100

I = 3916.90

T = 13

Then,

R = P / IT

R = 13100 / (3916.90 × 13)

R = 13100 / 50919.7

R = 0.26%

Therefore, the rate of interest is 0.26%

Learn more about Interest here:

https://brainly.com/question/18766194

#SPJ1

The given series is a geometric series. The sum of its first 6 terms is 728.

To determine whether the series is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.

If it is an arithmetic series, then:

  a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric series, then:

  a(n) = a(n-1) . r

where r is the common ratio.

The given series is:

     2+6+18+ . . . .

and the number of terms is 6.

In the given series:

a(1) = 2

a(2) = 6

a(3) = 18

Notice that

a(2)/a(1) = 6/2 = 3

a(3)/a(2) = 18/6 = 3

Since the ratio of consecutive terms are constant, then the given series is a geometric series. Furthermore, its ratio, r = 3

Sum formula for the first n term of a geometric series is:

S(n) = a(1) .  (rⁿ -1)/(r -1)

Substitute n = 6, a(1) = 2, and r = 3

S(6) = 2 . (3⁶ - 1)/(3 - 1)

S(6) = 2. 364

      = 728

We can also evaluate the sum directly. Write all the terms until n = 6.

a(4) = 18 . 3 = 54

a(5) = 54 . 3 = 162

a(6) = 162 . 3 = 486

Hence, the series is:

2+6+18+54+162+486 = 728

Learn more about series here:

https://brainly.com/question/28108001

#SPJ4

The steps to get the inverse of the given function are;

We are given the function;

Start with a number "n"

• Add 2

• Multiply the result by 3

• Subtract 10 from that result

• Square the final number

An inverse function is a function that undoes the action of the another function

Thus, the steps to get the inverse of the above function is as follows;

Read more about Inverse of a Function at; https://brainly.com/question/11735394

#SPJ1

The explicit formula for the given sequence is a(n) = 2 . (0.5)ⁿ and the first five terms are: 1, 0.5, 0.25, 0.125, 0.0625

Given the parameters:

First term, a(1) = 1, and

common ratio, r = 0.5

We are ask to find the explicit formula for the geometric sequence and generate the first five terms.

Recall that in a geometric sequence:

a(n) = a(1) . rⁿ⁻¹

Where a(n) is the nth term.

Substituting a(1) = 1 and r = 0.5:

a(n) = 1 . (0.5)ⁿ⁻¹

       = (0.5)⁻¹. (0.5)ⁿ

       = 2 . (0.5)ⁿ

To generate the first five terms, we can use the above explicit formula for n = 1, 2, ..., 5  or we can use a recursive procedure. Remember that in a geometric sequence:

a(n) = a(n-1) . r

Therefore,

a(1) = 1  (given)

a(2) = 1 . (0.5) = 0.5

a(3) = 0.5 . (0.5) = 0.25

a(4) = 0.25 . (0.5) = 0.125

a(5) = 0.125 . (0.5) = 0.0625

Thus, the first five terms are: 1, 0.5, 0.25, 0.125, 0.0625

Learn more about geometric sequence here:

https://brainly.com/question/24782892

#SPJ4

From the calculation carried out below, the number of children admitted was 1,400 and the number of adults admitted was 700.

How do we calculate the different numbers of people admitted?

This question can be solved using the substitution method as follows:

x = Number of children admitted

y = Number of adults admitted

x + y = 2,100 ............................................. (1)

1.50x + 4y = 4,900 ................................ (2)

From equation (1), we have:

x = 2,100 - y ................................................. (3)

Substituting x = 2,100 - y into equation (2) and solving for y, we have:

1.50(2,100 - y) + 4y = 4,900

3,150 - 1.50y + 4y = 4,900

2.50y = 4,900 - 3,150

2.50y = 1,750

y = 1,750 / 2.50

y = 700

Substituting y = 700 into equation (3), we have:

x = 2,100 - 700

x = 1,400

Learn more about the substitution method: https://brainly.com/question/14619835.

#SPJ1

Eight angles are formed when two parallel lines are intersected by a third line that intersects them at an acute angle, known as a transversal line. These angles interact in a number of ways, one of which is the same-side exterior. Both angles are on the same side of the transversal line, as indicated by the word "same-side," and both are "external," or "outside," of the parallel lines, as represented by the term "outside."

When a transversal crosses two parallel lines, it creates an angle between the lines and outside the lines on the same side. Because the alternate interior and alternate exterior angles are the same, and because linear pairs of angles are supplementary, the identical side angles are also supplementary.

Learn more about exterior angles at https://brainly.com/question/26969915

Answer:

Here are the answers!

Step-by-step explanation:

When there are two angles on a line that are touching you can subtract what you know from 180° (Ex: 138° and angle 4)

The angles across from each other are the same.

The total of all three angles in a triangle should be 180°

Answer:

= (3 + -10 + -2 + 13 + 11) / 5

= 15/5

Step-by-step explanation:

3

Hey there!

Your mean simply means, your average….

To find it you have to ADD all of your numbers and DIVIDE it by the total number you have in your data plot.

3 + -10 + -2 + 13 + 11 / 5

= 3 - 10 - 2 + 13 + 11 / 5

= -7 - 2 + 13 + 11 / 5

= -9 + 13 + 11 / 5

= 4 + 11 / 5

= 15 / 5

= 3

Therefore, your answer should be: 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Jeff can own 15,16,17 or 18 books as per the given question

The following question is based on inequality. Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. In this type of question, we will get a range of answers and not a specific answer.

No. of books owned by Jeff > 14

No. of books owned by his sister = 19 books

As per the question "He owns books fewer than his sister"

So, he owns >14 and <19 books

Therefore, he can own 15, 16, 17 or 18 books as per the given inequality.

Learn more about inequality:

https://brainly.com/question/20383699

#SPJ4

Answer: 2 2/3

Step-by-step explanation:

A rectangular prism can have a surface area equal to its volume given the dimensions are 9 inches long, 4 inches wide and x inches high, where x is equal to 7.2 inches.

A rectangular prism is a three-dimensional figure with 8 vertices, 12 edges, and 6 rectangular faces.

If the dimensions of a rectangular prism is:

L = 9 inches

W = 4 inches

H = x inches

then the value of its surface area is equal to the value of its volume.

SA = V

2(lw + wh + lh) = lwh

Substitute the values and solve for x.

2(lw + wh + lh) = lwh

2[(9)(4) + 4x + 9x] = (9)(4)x

2(36 + 13x) = 36x

72 + 26x = 36x

10x = 72

x = 7.2 inches

Learn more about rectangular prism here: https://brainly.com/question/24284033

#SPJ4

Answer:

See explanation

Step-by-step explanation:

2/3 / 5/9=

2/3 * 9/5=      ==> Dividing by a number is basically multiplying by its reciprocal.

(2*9)/(3*5)=

18/15=6/5  ==> The student just switched the numerator and denominator.

Answer:

6/5

Step-by-step explanation:

2/3÷5/9=2/3x9/5=2/1x3/5=6/5

34 and 49 is  pair of numbers that are relatively prime.

What is relatively prime example?

What do you mean by relatively prime?

34 and 49 is the pair of numbers that are relatively prime.

The numbers have no common prime factors.

Learn more about prime

brainly.com/question/20532807

#SPJ9

Answer:

D

Step-by-step explanation:

Just did it on T4L

The following angles of the given triangles arranged from the smallest to the largest:

In triangle ΔXYZ: ∠X, ∠Z, and ∠Y

In triangle ΔXYW: ∠X, ∠Y, and ∠W

The size of the angles of a triangle are relative to the side lengths of each side opposite each of the angles in a tringle.

This implies that, a larger angle will face the longest side of the triangle, the mid-sized angle faces the mid-sized side, while the smallest angle is opposite to the shortest side of the triangle.

Based on the relationship between angles and sides of a triangle, we have the following angles of the given triangles arranged from the smallest to the largest:

In triangle ΔXYZ: ∠X, ∠Z, and ∠Y

In triangle ΔXYW: ∠X, ∠Y, and ∠W

Learn more about the relationship between angles and sides of a triangle on:

https://brainly.com/question/10695554

#SPJ1

The expression will give value 28

To evaluate the expression for the given value of variables, we will keep the value of each variable in the equation. The expression will be solved based on the arithmetic operators given in expression.

Rewriting the expression -

Value = 9t + 6 (2v - t) - 7v

Now keeping the value of v and t in expression to find the value.

Value = 9×1 + 6 (2×5 - 1) - 7×5

Firstly solving the bracket and performing multiplication of extreme left and right values of expression

Value = 9 + 6 (10 - 1) - 35

Value = 9 + 6 (9) - 35

Value = 9 + 54 - 35

Performing addition before subtracting the values

Value = 63 - 35

Performing subtraction

Value = 28

Hence, the expression according to given variables is equal to 28.

Learn more about evaluation of expression -:

https://brainly.com/question/28581449

#SPJ4

Answer:

-t*(t -16) ≥ 39

-t*(t -16)  = 39

t = 3 or 13 hours

Step-by-step explanation:

When number of people is at 39 or more means the number of people of greater than or equal to 39.

 So, the inequality is,

          -t*(t -16) ≥ 39

When the number of people is 39, the equation is,

     -t*(t - 16) = 39

     -t²+ 16t   = 39

0 = 39 + t² - 16t

t² - 16t + 39 = 0

Sum = -16

Product = 39

Factors = -3 , -13   [ (-3) * (-13) = 39  & (-3) +(-13) = -16 ]

Rewrite the middle term using the factors.

t² - 3t - 13t + 39 = 0

t(t -3) - 13(t - 3) = 0

(t -3)( t - 13)     = 0

     t -3 = 0     ; t- 13 = 0

          t = 3  or  t = 13

t = 3 hours or 13 hours.

Answer:

b = 8

........................

Answer:

x+2>1

x>1-2

x>-1

now from the set choose ot the numbers which are greater that -1

we find that x=0,1 and 2

Answer:

{0, 1, 2}.

Step-by-step explanation:

x + 2 > 1

x > 1 - 2

x > -1.

So, the solution set is:

{0, 1, 2}

Answer:

$346

Step-by-step explanation:

Babysitting = $250

($10 × 25 hrs)

Neighbour's Chores = $96

($8 x 12 hrs)

Total Earning = $346

($250 + $96)

Answer:

Line

Step-by-step explanation:

Extends in two directions

The geometric term modeled by a bridge support beam is "cylinder."

Given data:

A bridge support beam often takes the form of a cylindrical shape to provide structural integrity and distribute the weight of the bridge and its load evenly. Cylinders have circular cross-sections.

A bridge support beam is often modeled as a "cylindrical" structure in geometry. Cylinders are three-dimensional geometric shapes characterized by their curved lateral surface and two circular bases of the same size and shape. When designing bridge support systems, engineers often opt for cylindrical beams due to their inherent strength and ability to distribute weight efficiently.

To learn more about cylinder, refer:

https://brainly.com/question/16134180

#SPJ3

If Betsy has a bag with three mint sticks, eight jelly treats, and nine fruit tart chews and she eats one piece every three minutes, the probability her first two pieces will be a fruit tart chew and a jelly treat is 18.9%.

The probability of her first two pieces being a fruit tart chew and a jelly treat can be calculated as follows,

First, we divide the expected outcomes by the total possible outcomes.

Total possible outcomes = 3(mint sticks) + 8(jelly treats) + 9(fruit tart chews) = 20

Hence,

Probability for fruit tart chew: 9 ÷ 20

Probability for jelly treat: 8 ÷ 19 (as one possibility is considered to be fruit tart chew)

The probability of her first two pieces to be fruit tart chew and jelly treat can be determined by multiplying the probability for fruit tart chew with the probability for jelly treat,

Probability = (9/20)(8/19)

Probability = 72/380 = 0.189

Converting into percentage,

Probability = 0.189 × 100 = 18.9%

Hence, the probability that her first two pieces will be a fruit tart chew and a jelly treat is equal to 18.9%.

To learn more about probability, click here:

https://brainly.com/question/251701

#SPJ4

The point-slope form is y - 3 = 2(x - 2) and 2x - y = 1 be the standard form.

Given: (x1, y1) = (2, 3) and (x2, y2) = (3, 5)

The point-slope form is given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (5 - 3)/(3 - 2)

The value of m = 2.

Point-slope form is y - 3 = 2(x - 2)

Therefore, the point-slope form is y - 3 = 2(x - 2).

How to rewrite the equation in standard form?

The standard form is Ax + By = C

Since, slope-intercept form is y = 2x - 1

⇒ 2x - y = 1

Therefore, 2x - y = 1 is the standard form.

To learn more about point-slope form, refer to:

https://brainly.com/question/6497976

#SPJ4

The slope of the line passing through the pair of points, (1 , 3) and (4 , 9), is 2.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. The formula for solving the slope is:

m = (y2 - y1)/(x2 - x1)

where m is the slope

x1 and y1 are the coordinates of one point

x2 and y2 are the coordinates of the 2nd point

Given two points in the line, (1 , 3) and (4 , 9), plug in the values to the formula for the slope.

m = (y2 - y1)/(x2 - x1)

m = (9 - 3)/(4 - 1)

m = 6/3

m = 2

Learn more about slope of the line here: https://brainly.com/question/16949303

#SPJ4

The probability that the first chip is green and the second is brown is 1/20,

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.

The probability of selecting the chip is green;

= 5/20

= 1/4

The probability of selecting the chip is brown;

= 4/20

= 1/5

Then the probability that the first chip is green and the second is brown

= 1/4 x 1/5

= 1/20

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ4

Answer:

4

Step-by-step explanation:

2+2=4