What is the midpoint of (-1,5) (5,5)

Answers

Answer 1

To find the midpoint, add the two X values and divide by 2 and add the two Y values and divide by 2.

-1 + 5 = 4/2 = 2

5 +5 = 10 /2 = 5

Midpoint = (2,5)

Answer 2

Answer:

(2,5)

Step-by-step explanation:

The points are on the same y, which is 5, so we only have to find the distance between the x values.

Distance formula = [tex]M = \frac{x_{1} + x_{2} }{2}[/tex]

[tex]M = \frac{-1 + 5}{2}[/tex]

Mid = \frac{4}{2} [tex]

Mid = 2


Related Questions

PLEASE HELP, IT WOULD BE AWESOME IF YOU COULD!!!!!!!
Joseph is conducting a survey to determine the blood types of 100 people who have come to give blood at a blood donor clinic. Which of the following questions is an appropriate statistical question for this survey? How many people at the clinic have blood type AB? Which blood type does the least number of people have? What is the blood type of each person at the clinic? What is the average age of people with the most common blood type?

Answers

Answer: What is the blood type of each person at the clinic?

A car is purchased for a downpayment of $3,000 with an additional monthly payment of $400 for 36 months. The
formula for the amount spent on the car is S = 3000 + 400 M, where S is the current amount of money that has been
spent and M is the number of months of payments that have been made.
i) How much money will have been spent after a year?
ii) What will be the final cost of the car?

Answers

Answer:

$3400 after one year

$17400 after the 36 months

Step-by-step explanation:

3000+400*1=3400

3000+400*36=17400

Final answer:

After a year, $7,800 will have been spent on the car. The final cost of the car will be $16,800.

Explanation:

i) To find out how much money will have been spent after a year, we need to substitute the value of M with 12 (since there are 12 months in a year) in the formula S = 3000 + 400M. Therefore, S = 3000 + 400 × 12 = $7,800.

ii) The final cost of the car can be found by substituting the value of M with 36 (since there are 36 months of payments) in the same formula. Therefore, S = 3000 + 400 ×36 = $16,800.

Learn more about Purchase cost of a car here:

https://brainly.com/question/15272640

#SPJ2

Solve for x.

5/6 x = 10/3

x = 4/3

x = 2

x = 25/9

x = 4

Answers

For this case we must solve the following equation:

[tex]\frac {5} {6} x = \frac {10} {3}[/tex]

Multiplying by "6" on both sides of the equation we have:

[tex]5x = \frac {10 * 6} {3}\\5x = \frac {60} {3}\\5x = 20[/tex]

Dividing between 5 on both sides of the equation we have:

[tex]x = \frac {20} {5}\\x = 4[/tex]

So, the solution is [tex]x = 4[/tex]

Answer:

Option D

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression [tex]\frac{5}{6}x=\frac{10}{3}[/tex], you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

[tex]3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10[/tex]

2)  You need to multiply both sides of the equation by 6:

[tex](6)(\frac{15}{6}x)=(10)(6)\\\\15x=60[/tex]

3) Finally, you can divide both sides of the equation by 15:

[tex]\frac{15x}{15}=\frac{60}{15}\\\\x=4[/tex]


A six-sided number cube is rolled twice.
What is the probability that the first roll is an even numbe and the second roll is a number greater than 4?

Answers

[tex]|\Omega|=6^2=36\\|A|=3\cdot2=8\\\\P(A)=\dfrac{8}{36}=\dfrac{2}{9}[/tex]

The expression 5^-8 * 7^-9 is equal to which of the following?

A. 1/5(35)^8
B. 1/7(35)^8

Answers

Answer:

Your answer is wrong.... M

Final answer:

The expression[tex]5^-8 * 7^-9[/tex]simplifies to 1 / [tex]5^8 * 1 / 7^9[/tex], which can be rearranged to 1 / [tex](35^8 * 7),[/tex] hence the correct answer is option B:[tex]1 / (7 * 35^8).[/tex]

Explanation:

The expression [tex]5^-8 * 7^-9[/tex] simplifies to:

([tex]1/5^8) * (1/7^9)[/tex]

[tex]1 / (5^8 * 7^9)[/tex]

We notice that [tex]5^8 * 7^9[/tex] can be rearranged to [tex](5*7)^8 * 7[/tex]

[tex]1 / (35^8 * 7)[/tex]

Finally, we get [tex]1 / (7 * 35^8)[/tex]which is option B.

A circumscribed circle will touch every vertex of a regular polygon ,true or false

Answers

Answer:

True

Step-by-step explanation:

we know that

A circle can be circumscribed about any regular polygon

A circumscribed circle surrounds a regular polygon, touching every vertex

help please.........................................

Answers

Answer:

x =-2 and z =-4

Step-by-step explanation:

We need to solve the following systems of equation

-3x-2y+4z = -16       eq(1)

10x+10y-5z = 30      eq(2)

5x+7y+8z = -21        eq(3)

Multiply eq(1) with 10 and eq(2) with 3

-30x-20y+40z = -160

30x+30y-15z = 90

__________________

10y+25z = -70

Divide by 10

2y+5z = -14      eq(4)

Multiply eq(1) with 10 and eq(3) with 6

-30x-20y+40z = -160

30x+42y+48z = -126

__________________

22y+88z = -286

Divide by 11

2y+8z = -26     eq(5)

Subtract eq(4) and eq(5)

2y+5z = -14  

2y+8z = -26      

-    -        +

__________

-3z = 12

z = 12/-3  

z = -4

Putting value of z in eq(4)

2y+5z = -14  

2y +5(-4) = -14

2y = -14 +20

2y = 6

y = 3

Putting value of z and y in eq(1)

-3x-2y+4z = -16

-3x-2(3)+4(-4) = -16

-3x -6 -16 = -16

-3x = -16+16+6

-3x = 6

x = 6/-3

x = -2

What is the area of the kite?

135 m2

108 m2

90 m2

Answers

Answer:

Step-by-step explanation:

135 m2

a line has the equation y=1/4x-1. find the equation if a parallel line through (8,5)​

Answers

Answer:

y = [tex]\frac{1}{4}[/tex] x + 3

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 = [tex]\frac{1}{4}[/tex] x - 1 ← is in this form

with slope m = [tex]\frac{1}{4}[/tex]

• Parallel lines have equal slopes, thus

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the parallel line

To find c substitute (8, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of parallel line

What are axioms in algebra called in geometry

Answers

Answer:

Sometimes they are called algebraic postulates.

Step-by-step explanation:

Please mark brainliest and have a great day!

What is the mode for the set of data shown below?
34, 75, 26, 81, 65, 38, 49, 73, 58, 12, 31, 25, 75, 86, 47, 99


Answers

Answer:

75

Step-by-step explanation:

Mode means the number that occurs the most. There can be more than 1 mode also no mode at all.

Looking at the number set closely, we see that "75" occurs twice and every number occurs once. Hence 75 is the mode.

Hello There!

The "MODE" is the numbers that occur most often in a set of numbers.

In this scenario, 75 would be the mode because it occurs twice, No other numbers in this data set repeat except 75.

If the discriminant if a qudratic equation is 4, which statement describes the roots?

Answers

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant determines the nature of the roots

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Here b² - 4ac = 4 > 0

Hence roots are real and distinct

9 cubic yard 113 cubic inches - 4 cubic feet 129 cubic inches

Answers

Answer:  8 yds³ 22ft³ 1712 in³

Step-by-step explanation:

9 yds³ + 113 in³ - (4 ft³ + 129 in³)

Understand that you need to "borrow" 1 yd³ and convert it into ft³ and then "borrow" 1 ft³ and convert it into in³

Conversions:

[tex]1 yd^3\times \bigg(\dfrac{3ft}{1yd}\bigg)^3=\large\boxed{27ft^3}\\\\\\1ft\times\bigg(\dfrac{12in}{1ft}\bigg)^3=\large\boxed{1728in^3}[/tex]

The given equation:

   9 yds³ +  0 ft³    + 113 in³          

                - 4 ft³   - 129 in³

Borrow 1 yd³ to create 27 ft³:

= 8 yds³  + 27 ft³ + 113 in³

               -   4 ft³  - 129 in³

Borrow 1 ft³ to create 1728 in³:

= 8 yds³  + 26 ft³ + 1841 in³

               -   4 ft³  -  129 in³

= 8 yds³  + 22 ft³ + 1712 in³

What is the vertex of the parabola in the graph?

Answers

Answer:

(-3, -4)

Step-by-step explanation:

The parabola shown here opens up.  The vertex is the lowest point of this graph.  The coordinates of the vertex are (-3, -4).  

Answer:

(-3, -4)

Step-by-step explanation:

your welcome

For the given system of equations, identify the type of system, a system of equations with the same solution, and the estimated solution of the
systems. Select one response for each column of the table.
...
Type of System
System with the Same Solution
Estimated
Solution
inconsistent
-31x - 19y=95
-14x + 19 y = 76
(3.8, -1.2)
(-3.8, -1.2)
consistent-dependent
31x - 19y=95
14x + 19 = 76
consistent-independent
(-3.8, 1.2)
31x + 19 = 95
14x - 19y = 76​

Answers

Answer:

Part 1)

-31x - 19y=95

-14x + 19 y = 76

The solution is the point (-3.8,1.2)

The system is consistent independent

Part 2)

31x - 19y=95

14x + 19y = 76

The solution is the point (3.8,1.2)

The system is consistent independent

Part 3)

31x + 19y = 95

14x - 19y = 76​

The solution is the point (3.8,-1.2)

The system is consistent independent

Step-by-step explanation:

Part 1) we have

-31x-19y=95 -----> equation A

-14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

-31x-14x=95+76

-45x=171

x=-3.8

Find the value of y

-14(-3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (-3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 2) we have

31x-19y=95 -----> equation A

14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 3) we have

31x+19y=95 -----> equation A

14x-19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)-19y=76

-19y=76-53.2

y=-22.8/19=-1.2

The solution is the point (3.8,-1.2)

The system has only one solution

therefore

The system is consistent independent

To determine the type of system, we need to look at the coefficients of the variables and the constants. For the system of linear equations:
```
31x - 19y = 95
-14x + 19y = 76
```
Let's perform the steps to find the solution:
1. We will use elimination or substitution to solve for the variables x and y.
2. We will verify the resulting solution to ensure that it solves both equations.
**Step 1: Elimination**
By adding the two equations together, the y terms will eliminate each other:
```
31x - 19y = 95
-14x + 19y = 76
-----------------
(31x - 14x) + (-19y + 19y) = 95 + 76
17x = 171
```
Divide both sides by 17 to solve for x:
```
x = 171 / 17
x = 10
```
**Step 2: Substitution**
Now that we have x, let's substitute it into one of the original equations to find y. We can use the first equation:
```
31(10) - 19y = 95
310 - 19y = 95
``
Subtract 310 from both sides:
```
-19y = 95 - 310
-19y = -215
```
Divide both sides by -19 to solve for y:
```
y = -215 / -19
y = 11.3158
```
The estimated values of x and y are (10, 11.3158). Since these are not exact values from the multiple choices, it seems there might be a rounding or calculation error. Let's recheck:
```
y = -215 / -19
y = 11.3158...
```
Given the options, the rounded value would be y = 11.3.
**Type of System:**
Given that we were able to find unique values for x and y, the system is "consistent-independent" because it has one solution.
**System with the Same Solution:**
A system with the same solution will have the same coefficients for the variables or will be multiples of one another.
**Estimated Solution:**
As worked out above, x = 10 and y ≈ 11.3. Since this isn't precisely written in the choices, we have to consider rounding for y, which would be approximately 11.3.
With these considerations, the answer to fill the table is:
- Type of System: consistent-independent
- System with the Same Solution: Not provided precisely, but typically it would have proportional coefficients.
- Estimated Solution: (10, 11.3 - considering the second decimal place)
Please note that since we're manually calculating the solution, there may be some approximation in the final values. If exact arithmetic were applied, you should expect to find a precise value for y that matches one of the options more closely.


Evaluate the following expression. you should do this without a calculator log4 256

Answers

Answer:

4

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

let [tex]log_{4}[/tex] 256 = n, then

256 = [tex]4^{n}[/tex]

Note that 256 = [tex]4^{4}[/tex], hence

[tex]4^{4}[/tex] = [tex]4^{n}[/tex]

Since the bases are equal ( both 4) equate the exponents, hence

n = 4

The mass of a piece of aluminum is 250 grams. The density of aluminum is 2.7 g/mL. What is the volume of the piece of aluminum?

Answers

The density of aluminum is known to be 2.70 g/cm3

The volume of a given piece of aluminum is 92.6 mL.

What is Density?It is defined as the ratio of mass to volume.It is an extensive property of any substance.

Given: A piece of Aluminum.

Mass = 250 g

Density = 2.7 g/mL

We need to find the volume.

We know, density is given by:

Density = Mass / Volume

⇒ Volume = Mass / Density

⇒ Volume = 250/2.7

Volume = 92.6 mL

Therefore, the volume of the piece of aluminum is 92.6 mL.

Learn more about the Density here: https://brainly.com/question/14517477

#SPJ2

solve for c:
c / 3 equals 30 / 5
show your work and apply the correct order of operation ​

Answers

Answer:

Unless there is more to the question than c = 2 because 30 /5 = 6 and if c is 3 than 3 = 6 so simplify if needed.

Answer:

c = 18

Step-by-step explanation:

Rewrite c / 3 equals 30 / 5 as:

 c       30

----- = -----

  3       5

Reduce 30/5 to 6/1:

 c        6

----- = -----

  3       1

Cross multiplying, we get 1c = 18, or c = 18.

3 (x+2)= 6 (x-1) +3

Answers

Answer:

x = 3

Step-by-step explanation:

3(x + 2) = 6(x - 1) + 3

Divide both sides by 3.

x + 2 = 2(x - 1) + 1

Distribute the 2 on the right side.

x + 2 = 2x - 2 + 1

Combine like terms on the right side.

x + 2 = 2x - 1

Add 1 to both sides. Subtract x from both sides.

3 = x

x = 3

A rectangular gym has an area of 4x^2ft^2. The school decides to add a new
weight room. The total area of the gym and the weight room is (4x^2+480)ft^2.
What does the constant term represent in terms of this problem?

Answers

Answer:

The constant term is the area of weight room.

Step-by-step explanation:

A rectangular gym has an area of [tex]4x^2[/tex]  square feet

The school decides to add a new  weight room.

The total area of the gym and the weight room is [tex](4x^2+480)[/tex] ft^2.

Here, 480 is the area of the weight room because [tex]4x^2[/tex] is the area of gym and the total area will be addition of both the areas.

Hence, the constant term is the area of weight room.

The area of the weight room is 480 square ft and the constant term 480 represents the area of the weight room.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area of the rectangular gym = 4x² square ft

The total area of the gym and the weight room = (4x² + 480) square ft

Let A be the area of the weight room:

Total area = area of gym + area of weight room

4x² + 480 = 4x² + A

A = 480 square ft

Thus, the area of the weight room is 480 square ft and the constant term represents the area of the weight room.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)? x y –5 10 –4 5 –3 0 –2 –5

Answers

Answer:

=-5

Step-by-step explanation:

The rate of change, the slope, can be found by using the formula for calculating the slope given two points on the line directly.... However what I like to do is just like up the points and subtract then put 2nd difference over first difference.

(-3  ,  0)

-(-2  , -5)

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

-1         5

So the slope is 5/-1 which is just -5

Answer:

the anser is -5

Step-by-step explanation:

you better get 100 now good luck

Which of the following interpretation for the given sentence is correct?

Answers

The answer is D because quotient means divide

What is the following product? Assume x>0.
Oxx
o 12,5
o 6

Answers

Answer:

the answer would be the 3rd one :)

Step-by-step explanation:

A number is equal to twice a smaller number plus 3. The same number is equal to twuce the sum of the smaller number and 1. How many solutions are possible for this situation

Answers

Answer:

No solution

Step-by-step explanation:

Suppose the number is [tex]y[/tex] so ([tex]y = ...[/tex]).

Now [tex]y[/tex] is equal to twice a smaller number plus 3. Assuming the smaller number as [tex]x[/tex], we can write it as:

[tex]y = 2x + 3[/tex] --- (1)

Also, the same number [tex]y[/tex] is equal to twice the sum of smaller number and 1:

[tex]y=2x+1[/tex] --- (2)

Now for both of these equations, we need to find a point which satisfies them.

For example, for equation 1, take [tex]y=5[/tex] which means [tex]2(1) + 3[/tex] so the solution will be (1, 3).

Substituting the same value of y here in equation 2:

[tex]5=2(2)+1[/tex] so the solution for this will be (2, 5).

It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.

Answer: The system of equations HAS NO SOLUTION.

Step-by-step explanation:

Let be "y" the first number and "x" the smaller number.

Since the first number  is equal to twice a smaller number plus 3, then:

[tex]y=2x+3[/tex]  (Equation 1)

Since the same number is equal to twice the sum of the smaller number and 1, then:

[tex]y=2(x+1)[/tex]

[tex]y=2x+2[/tex]  (Equation 2)

We need to remember that the equation of the line in Slope-Intercept form is:

 [tex]y=mx+b[/tex]  

Where "m" is the slope and "b" is the y-intercept.

You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.

WILL MARK BRAINLIEST

Answers

Answer:

The correct answer is second option

380 square feet

Step-by-step explanation:

Area of composite solid = Base area + area of side rectangles + area of triangles

To find the area of base

Base area = length * width

 = 10 * 10 = 100 ft²

To find the area of side rectangle

There are 4 rectangles with length 10 ft and width 6 ft

Area = 4 * area of one rectangle

 = 4 * (10 * 6)

 = 240 ft²

To find the area of triangle

Here base of triangle = 10 ft and height = 7 ft

Area  of 4 triangles =4 * area of single triangle = 4 * (bh)/2

 = 4 *(10 * 7)/2 = 140 ft²

To find the total area =  Base area + area of side rectangles + area of triangles

 = 100 + 240 + 140

= 380 square feet

The correct answer is second option

380 square feet

Answer:

380

Step-by-step explanation:

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?

Answers

Answer:

The correct answer for this is: rhombus.

Step-by-step explanation:

The name of a polygon that has four congruent sides with the angles measuring 60°, 120°, 60° and 120° is rhombus.

According to the properties of a rhombus, the opposite angles are equal and opposite sides are parallel.

However, the adjacent angles of rhombus are supplementary which means that they add up to 180°.

For example:

60° + 120° = 180°

Answer:

Rhombus

Step-by-step explanation:

A rhombus has 4 congruent sides and the opposite angle s are congruent. I will throw  in something extra a rhombus has perpendicular bisectors

The triangles are similar. The area of the larger triangle is 1200 cm?
What is the area of the smaller triangle?

Answers

Answer:

75 cm^2

Step-by-step explanation:

We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.

For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.

The area of the small triangle is 1/16 the area of the large triangle.

area of small triangle = (area of large triangle) * (area scale factor)

area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16

area of small triangle = (1200 cm^2)/16 = 75 cm^2

Answer:

I would say 75cm^2.



Scarlett stopped at a campground along the Appalachian trail. The campground had a 12 acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.

Which expression would give you the size of Scarlett’s campsite?(more than one answer

Answers

Answer:

A and D on edge

just took the assessment

Answer:

a and d

Step-by-step explanation:

Can someone please explain to me how to use sin, cos, and tan for triangle calculations? Feel free to use whatever example. I just want to understand how use the trigonometric ratios. Thanks!

Answers

It helps thinking of Sin, Cos, Tan as SOH-CAH -TOA. SOH meaning Sin= Opposite/ Hypotenuse, CAH meaning Cos= Adjacent/ Hypotenuse and TOA meaning Tan= Opposite/ Adjacent. Anything across from the Reference point is Opposite, what is across from Opposite is adjacent and what is across from the right angle is Hypotenuse. I hope I’m answering your question correctly and hope this helps!

Answer:

Hi there!

A way to remember how to do each way is: Soh Cah Toa

Sin- opposite over hypotenuse Cos- Adjacent over hypotenuse Tan- opposite over adjacent.

Hypotenuse is the longest the side of the triangle

and the adjacent side is the side laying near the symbol theta.  

Find the sticker price and dealer's cost for the following car: The base price is $18,649.00. Options cost $453.00, $612.00, $386.00, and $290.00. Destination charges total $246.00. The dealer pays 85% of the base price and 70% of the options.

Answers

Final answer:

The dealer's cost for the car is $15,851.65 and the sticker price is $20,636.

Explanation:

To find the sticker price and dealer's cost for the car, we need to calculate the prices of the base price, options, and destination charges.

First, calculate the dealer's cost for the base price by multiplying 85% of the base price: $18,649 x 0.85 = $15,851.65.

Next, calculate the dealer's cost for the options by multiplying 70% of each option cost and summing them up: $453 x 0.70 + $612 x 0.70 + $386 x 0.70 + $290 x 0.70 = $845.20.

Finally, calculate the sticker price by adding the base price, options, and destination charges: $18,649 + $453 + $612 + $386 + $290 + $246 = $20,636.

Therefore, the dealer's cost is $15,851.65 and the sticker price is $20,636.

Other Questions
Based on the prefix, de-, what does the word decongestant mean? Why does water have a high surface tension What are the zeros of this function? Describe the United States movement from isolationism to expansion-mindedness in the final decades of the nineteenth century. What ideas and philosophies underpinned this transformation? Which of the following is a problem with information silos? a. isolated decisions b. organized processes c. decreased expense d. a lot of information Urbanization includes the sociological study of what?Urban economicsUrban politicsUrban environmentsAll of the above Arrange the elements TELLURIUM, RUBIDIUM, POTASSIUM & BROMINE in order of increasing second energy (IE2) and in decreasing atomic size. euphronios and Phidias were artistis who lived in ancient Select the correct answer. Which word best completes the sentence? Isabela: No puedes permitir entrar ni vendedores _______ perros callejeros. A. nunca B. ni C. siempre D. alguien Structural mobility occurs when:an individual moves up the class ladderan individual moves down the class laddera large group moves up or down the class ladder due to societal changesa member of a family belongs to a different class than his or her siblings What caused many Americans to support the cuban rebels A tourist boat is used for sightseeing in a nearby river. The boat travels 2.4 miles downstream and in the same amount of time, it travels 1.8 miles upstream. If the boat travels at an average speed of 21 miles per hour in the still water, find the current of the river. (SHOW WORK) A bag contains 3 red marbles, 2 blue marbles, and 2 green marbles. One marble is picked, then another marble. Assume that the selections are made with replacement. A) Find the probability of picking two red marbles with replacement. B) find the probability of picking a red marble and a blue marble. Assume the selections are made without replacement. C) Find the probability of picking two red marbles without replacement. D) find the probability of picking a red marble and a blue marble without replacement. Find the twenty-fifth term of an arithmetic sequence if the first term is-1 and the common difference is 5. Write the first three terms of an arithmetic sequence in which the twenty-first term is 17 and the fiftieth term is 75. 10. 11 What would be the most likely result if humans stopped burning fossil fuels what is 1/6 as a percent Read the excerpt from President Woodrow Wilsons speech, War Message to Congress. I am not now thinking of the loss of property involved, immense and serious as that is, but only for the wanton and wholesale destruction of the lives of non-combatants, men, women, and children, engaged in pursuits which have always, even in the darkest periods of modern history, been deemed innocent and legitimate. Property can be paid for; the lives of peaceful and innocent people cannot be.Which statement best describes the main idea of the excerpt?A- A lot of the nations property has been destroyed.B- The nation has lost an immense amount of wealth.C- Human lives are worth more than material items.D- The nation will get back everything that was lost. A student simplifies (6b + 4r) (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression. A spherical capacitor is formed from two concentric, spherical, conducting shells separated by vacuum. The inner sphere has radius 16 cm and the capacitance is 113 pF. What is the radius of the outer sphere? (Give your answer in decimal using cm as unit) Jen is reviewing information about a new treatment for arthritis pain that she saw on an informational website. Most of the information is testimonials from satisfied users. Which best indicates that this information is unreliable? It is not paid for by product sponsors. It is on a website that is not run by professionals. Its claims are based mostly on anecdotal evidence. Its claims are not supported by the provided information.