1. Event A: rolling a 1
Event B: rolling an even number 2,4,6
Are these events disjoint or overlapping

Given :

R'S'T' is the image of RST

we will find the rule of translation using the coordinates of :

So, the rule will have the form :

So, the answer is :

T(7,-3)

7 units right ; 3 units down

Answer:

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

Step-by-step explanation:

Answer:

rolling a sum of 9

Rolling a sum less than 5

Rolling a sum that is greater than 9 but less than 11

Step-by-step explanation:

so you have sum of 9 which is 9

sum less than 5 which is 4,3,2,1

And a sum greater than 9 but less than 11 so 10

10 +9 is greater than 11

10 +4, 10 + 3, 10 +2, 10 + 1 would work too

9+5, 9+4,9+3, 9+2 would work as well the only one who wouldn’t is 9+1 but you have more that work than don’t

Answer: b , c , e

Step-by-step explanation:

Answer:

2/9 - 1/6 = 1/18

Step-by-step explanation:

2/9= 4/18 and 1/6=3/18

so...

4/18-3/18=1/18

Hope This Helps!

Answer:

1/18

Step-by-step explanation:

find the LCD

= 18

say

18

= 18 ÷ 9

= 2

= 18 ÷6

= 3

now say

2 × 2 = 4

3 × 1 = 3

4-3/18

= 1/18

The first term of the arithmetic sequence is 21, and the common difference is 10.5.

Let a₁ be the first term of the arithmetic sequence, and let d be the common difference.

Then we have:

a₁ + 11 = 32    (1)

a₁ + a₁3 = 42   (2)

To find a₁ and d, we can use a system of equations. First, we will solve for a₁ in equation (1):

a₁ = 32 - 11

a₁ = 21

Now we can substitute this value for a₁ in equation (2) and simplify:

21 + (21 + 2d) = 42

Simplifying further, we get:

42 + 2d = 42

2d = 42 - 21

2d = 21

d = 10.5

Therefore, the first term of the arithmetic sequence is 21, and the common difference is 10.5.

Learn more about arithmetic sequence here:

https://brainly.com/question/28882428

#SPJ11

Answer: I think 1.2

Step-by-step explanation:

1.35

Answer:

The correct y-increment should be 50 instead of 1, and it will solve the problem.

Hence, you are right!

Step-by-step explanation:

Because with Min. x=0 and Max. x=20 and with increment 5 the x values will be:

Now, putting all the x-values in the equation

y=10x+50

For x=0

y=10(0)+50=50

so, for x=0, the value of y=50 i.e. (0, 50)

For x=5

y=10(5)+50=100

so, for x=5, the value of y=100 i.e. (5, 100)

For x=10

y=10(10)+50=150

so, for x=10, the value of y=150 i.e. (10, 150)

For x=15

y=10(15)+50=200

so, for x=15, the value of y=200 i.e. (15, 200)

For x=20

y=10(20)+50=250

so, for x=20, the value of y=250 i.e. (20, 250)

It means, for every x-increment of 5 units, the y-increment goes to 50 units.

Therefore, the correct y-increment should be 50 instead of 1, and it will solve the problem.

Hence, you are right!

Upgrading a Class B office space to a Class A space will cost $5,866. The monthly rent increase required to recover the cost of the upgrade in 5 years would be $98.42.

Class A buildings typically command higher rents than Class B buildings. Before upgrading a Class B building to a Class A building, it is essential to understand the cost and the potential return on investment.Calculating the monthly rent increase required to recover the upgrade cost in five years can be calculated using the following formula:Monthly Rent Increase = (Upgrade Cost / Number of Months in Five Years) / Number of Units Increase = (5,866 / 60) / 1Increase = $98.42

Therefore, the monthly rent increase required to recover the upgrade cost in five years would be $98.42.

To know more about Rent visit-

https://brainly.com/question/31328486

#SPJ11

Answer:

5/-2 , 3.5, and y = 5/-2x+3.5

Step-by-step explanation:

1. y2 - y1 over x2 - x1

7 -3 over 0-2

you get 5/-2.

This is the slope, or you can make it into a decimal form.

2. Using y = mx+b, we know the slope already, so we can substitute for it.

m = slope

y = 5/-2x+b

now, let's chose a point to go with. I chose (-1,6)

-1 is x, 6 is y.

6= 5/-2(-1)+b

b = 3.5

3. Because we know the slope is 5/-2 and the y int as 3.5, we can put it all together.

y = mx+b

y = 5/-2x + 3.5

The tennis player hits the ball with an initial speed of 58 feet per second at an angle of 19°, from a height of 1.9 feet. The ball lands at a distance of 65.369 feet from the initial point.

We need to determine how far away the ball land in feet. The horizontal and vertical motions of the ball are independent of each other. The horizontal motion is unaffected by the vertical motion of the ball. It means the ball will move with a constant horizontal velocity of Vx = Vo × cos θ

Where

Vx is the horizontal velocity

Vo is the initial velocity

θ is the angle of the velocity vector with respect to the horizontal axis

Thus, the horizontal component of the initial velocity is given by:

Vx= 58 ft/s cos (19°)

Vx = 55.4 ft/s

Similarly, the vertical component of the initial velocity is given by:

Vy = Vo × sin θ

Vy = 58 ft/s sin (19°)

Vy = 18.8 ft/s

The time of flight (t) can be found using the vertical motion of the ball. Using vertical motion, the distance traveled in the horizontal direction can be found using

d = Vx × t.

The time of flight can be calculated as

t = 2Vy / g

where g is the acceleration due to gravity,g = 32.2 ft/s

2t = 2(18.8) / 32.2

t = 1.16 s

Therefore, the distance traveled in the horizontal direction can be calculated as:

d = Vx × td

  = 55.4 × 1.16d

  = 64.1 feet

The ball lands at a distance of 64.1 feet from the initial point. Hence, the correct option is 65.369 feet (rounded off to three decimal places).

You can learn more about the initial speed at: brainly.com/question/12787359

#SPJ11

The question asks about the range of a tennis ball hit under specific conditions. Using the formula for the range of a projectile, and the given values for speed, angle, and gravity, it is found that the tennis ball will land approximately 63.495 feet away.

The subject of the question is Physics, specifically kinematics, and the motion of projectiles. This is a problem of projectile motion. We will determine where the tennis ball lands in terms of horizontal distance also known as range.

To calculate the range, we use the formula: Range = (v² sin (2θ)) / g, where v is the initial velocity of the ball, θ is the angle at which it's thrown, and g is the acceleration due to gravity. Here, v= 58 feet per second, θ= 19°, and g= 32.2 feet/second² respectively.

Through calculations, we will find that the tennis ball lands approximately 63.495 feet away from the starting point.

https://brainly.com/question/20627626

#SPJ12

I hope this answer helps .

Answer:

its is 01924810.12

Step-by-step explanation:

becuse i know it in my head its the truth

Answer:

For d = -4 and e = -6, the values of the expressions are as follows:

de/-6 = 8

e square - d square/4 = 7

d(e+3)/2 = 9

e(d square - 9)/6 = -12

Step-by-step explanation:

We can simply substitute the given values of d and e into the expressions and evaluate them as follows:

de/-6 = (-4)(-6)/(-6) = 8

e square - d square/4 = (-6)^2 - (-4)^2/4 = 36 - 4/4 = 7

d(e+3)/2 = (-4)(-6+3)/2 = (-4)(-3)/2 = 6/2 = 3

e(d square - 9)/6 = (-6)((-4)^2 - 9)/6 = (-6)(16-9)/6 = -42/6 = -12

Therefore, the expressions evaluate to 8, 7, 3, and -12, respectively.

Answer:

H.120 That's The Largest:)

Step-by-step explanation:

Hope Its Help:)

The division yields 1/14 for the complex fraction.

Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.

Here,

=22/44/7

=22/44*1/7

=1/14

The answer for the complex fraction is 1/14 by the division.

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Answer:

57 1/10

(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10

Answer: The average amount of pocket change per person is $2.06.

Step-by-step explanation:

To find the average amount of pocket change per person, we need to first add up all the amounts and then divide by the number of people (which is 7 in this case).

Adding up the amounts: $0.00 + $1.25 + $0.02 + $2.00 + $10.75 + $0.40 + $0.00 = $14.42

Dividing by the number of people: $14.42 ÷ 7 = $2.06 So the average amount of pocket change per person is $2.06.

learn more about "average":-https://brainly.com/question/130657

#SPJ11

There are 10 ways to put 5 balls in 2 boxes

A Combination formula C(n , r) = \(\frac{n!}{r! (n -r)!}\)  is used when

Given that, the total balls are 5:

n=5

We have wished to distribute them in 2 boxes:

r=2

Since the objects are indistinguishable, we can be used the combinations formula:

C(n , r) = \(\frac{5!}{2! 3!} = 10\)

Hence, there are 10 ways to put 5 balls in 2 boxes.

Read more about the combination:

https://brainly.com/question/28065038

#SPJ4

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

The volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

To find the volume of the wooden roller, we can use the formula for the volume of a cylinder:

Volume = π x (radius)^2 x height

First, we need to find the radius of the wooden roller. The diameter is given as 8cm, so the radius is half of that, or 4cm.

Now, we have the following dimensions:

Radius = 4cm

Height = 1cm

Plugging these values into the formula for the volume of a cylinder, we get:

Volume = π x (4cm)^2 x 1cm

= 16π cm^3

Therefore, the volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

Learn more about  volume  from

https://brainly.com/question/27710307

#SPJ11

Answer:

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

The two triangles are said to be congruent by the SSS rule if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

Segments, or "triangles," are three-sided plane enclosed figures that can be classified according to their sides and angles. The typical variations include isosceles, equilateral, scalene, etc. So what exactly are congruent triangles? Triangles are said to be in congruence when all corresponding sides and interior angles are congruent (of the same length).

The triangles will be the same size and shape, but they will appear to be mirror images of one another. Simply put, objects that appear to be identical when placed over their opposites or that are Xerox copies of one another are said to be congruent.

Learn more about Congruence

https://brainly.com/question/7888063

#SPJ4

Linear functions are the functions whose graph is a straight line.

The information is incomplete. Therefore, an overview will be given. A linear function has the following form. y = f(x) = a + bx. It has one independent variable and a dependent variable.

A linear function is represented by the equation y = mx + b where:

y: the y-coordinate.

m: the slope of the line.

x: the x-coordinate.

b: the y-intercept

I calculus and related areas, the linear function is a function where the graph is a straight line, which is, a polynomial function of degree zero or one.

Learn more about linear function on:

https://brainly.com/question/15602982

#SPJ1

Answer:

360

Step-by-step explanation:

from the survey:

32/80 - 0.4 love math

0.4*900

= 360

Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

To know more about uniformly visit:

https://brainly.com/question/22209943

#SPJ4

Answer:

120 m

Step-by-step explanation:

To find the volume of the prism on the bottom, multiply length times height times width

3x3x12=108

next is the pyramid on top.

Formula is V=bh x 1/2

8, the height, times 3, the base, = 24

24x 1/2 or 24/2 = 12

108+12= 120

120 m

Explanation:

What is a number line?

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

We are to show the value of 8/3 on the number line

First, we have to convert 8/3 to decimal

Since 8/3 is equal to 2.667, this means that this point will be between 2 and 3 on the number line

The plot of the value is shown below