Please answer ASAP. The question is down below. thanks.

Please Answer ASAP. The Question Is Down Below. Thanks.

Answers

Answer 1

Answer:

(-2,-4)

Step-by-step explanation:

The vertex of a parabola is it's lowest (or highest, but lowest in this context) point. Your lowest point is (-2,-4), so that is your answer.


Related Questions

By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear

Answers

C.quadratic. Based on the pattern it is quadratic.

Answer: C

I just took the test

turn 7/8 into a percent​

Answers

Answer:

[tex]\boxed{87.5\%}[/tex]

Step-by-step explanation:

Convert fraction to a decimal.

[tex]\frac{7}{8} =0.875[/tex]

Multiply the decimal by 100.

[tex]0.875 \times 100= 87.5[/tex]

Answer:

87.5%

Step-by-step explanation:

100 divided by 8 = 12.5

We know that one eighth of 100 is 12.5. Now we multiply an eighth by 7 to get seven-eighths (7/8)

12.5 * 7 = 87.5

So 7/8 as a percent is 87.5%

Have a good day :)

A scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?

Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answers

Answer:

The answer is

Step-by-step explanation:

If 2cm is 8 feet on the drawing then since 4 is the double of 8,

16 would be the width

8·2=16

For the length, 4 is two less than 6 so, to find the width,

Add 16+2=18

Therefore,

The answer is C.

Length=18 Width=16

Answer:

Length = 24 ft, width = 16 ft

Step-by-step explanation:

The scale is 2 cm (drawing) = 8 ft (real).

The drawing length is 6 cm.

6 cm is 3 times 2 cm

Multiply both sides of the scale by 3.

3 * 2 cm = 3 * 8 ft

6 cm = 24 ft

The real length is 24 ft.

The drawing width is 4 cm.

4 cm is 2 times 2 cm

Multiply both sides of the scale by 2.

2 * 2 cm = 2 * 8 ft

4 cm = 16 ft

The real width is 16 ft.

Answer:

Length = 24 ft, width = 16 ft

A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?

Answers

Answer:

9 and 23

Step-by-step explanation:

Let x be smaller length in inches.

x+3x-4=32

4x=36

x=9

9*3-4=23

So they're 9 and 23 inches long.

The lengths of the two parts of the pipe are 9 and 23 inches long.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let x be the smaller length in inches.

x + 3x - 4 = 32

4x = 36

x  =9

Now substitute;

9*3 - 4 = 23

Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?

Answers

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

Which set of points represents a function?
OA) (-5,9). (-5, 8), (4,7), (4, 6)
OB) (-3, -2), (-2, -1), (-1, 2), (-3, 4)
OC) (2,7). (-1, -7), (2, -7), (-1,7)
OD) (6, -1). (-3,4), (-6,4), (3, -1)

Answers

Answer: B

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3

Answers

Answer:

(1,4)

Step-by-step explanation:

Which ordered pair is a solution of the equation? y = 7 x − 3

a. (1,4) b. (-1,-4) c. both d. neither

Solution

y=7x-3

Solve by trying each ordered pair

a. (1,4)

x=1, y=4

Substituting the value of x and y into the equation

y=7x-3

4=7(1)-3

4=7-3

4=4

This is a true statement

b. (-1,-4)

x=-1, y=-4

Substitute the value into the equation

y=7x-3

-4=7(-1)-3

-4= -7-3

-4= -11

This is not a true statement

This true statement is when x=1 and y=4

So, the ordered pair (1, 4) is the solution

How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many

Answers

Answer:

one solution

Step-by-step explanation:

3x + 6 =- 1 - 3 + 4x

Subtract 3x from each side

3x-3x + 6 =- 1 - 3 + 4x -3x

6 = -4+x

Add 4 to each side

6+4 = -4+4+x

10 =x

One solution

Answer:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Step-by-step explanation:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank

Answers

Answer:

d

Step-by-step explanation:

sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test

Answers

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies

Answers

Answer:

0.260.911.43

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( [tex]\frac{x-\mu }{\sigma}[/tex]  > [tex]\frac{2.3-\mu }{\sigma}[/tex] )

P (z  > [tex]\frac{2.3-1.9 }{0.3}[/tex]  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( [tex]\frac{x-\mu }{\sigma }[/tex] <  [tex]\frac{a-\mu }{\sigma }[/tex] )

[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.




A. 195.4 yd


B. 123.7 yd


C. 97.5 yd


D. 105.1 yd

Answers

Answer:

97.5

Step-by-step explanation:

Which account has the highest effective annual interest rate? Account 1: Interest is compounded quarterly at an annual rate of 4.20%. Account 2: Interest is compounded monthly at an annual rate of 4.15%. Account 3: Interest is compounded semiannually at an annual rate of 4.10% Account 4: Interest is compounded annually at a rate of 4.25%.

Answers

Answer:

Account 1 has the highest effective annual interest rate (0.042666142)

Step-by-step explanation:

Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:  

EAIR = [(1+r/n)^n ]-1

Where:

r = nominal interest rate

n = number of periods

If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12

SO:

Account 1: Interest is compounded quarterly at an annual rate of 4.20%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142

Account 2: Interest is compounded monthly at an annual rate of 4.15%.  

EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535

Account 3: Interest is compounded semiannually at an annual rate of 4.10%

EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025

Account 4: Interest is compounded annually at a rate of 4.25%.

EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425

Since:

0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)

Account 1 has the highest effective annual interest rate 0.042666142

What is the vertex of y=-3x^2+6x+15? Help is much appreciated.

Answers

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

Suppose your soccer coach is ordering duffel bags online for your team. The online store charges $16.49 per bag plus $10.50

for shipping and handling of the order. Suppose x is the number of bags ordered and go is the total cost of the bags. Select

the function that models the relationship. Then select the cost of buying 12 bags.






Answer: g(x)=16.49x+10.50


Total cost of 12 bags

$208.38

Answers

Answer:

g(x) = $16.49x + $10.50

$208.38

Step-by-step explanation:

Given the following:

Cost per bag = $16.49

Shipping and handling fee = $10.50

Number of bags ordered = x

If g(x) = total cost of bags

Bag cost = cost per bag × number of bags ordered

Bag Cost = $16.49 * x = $16.49x

Shipping and handling fee = $10.50

Total cost of bags = Bag cost + shipping and handling fee

g(x) = $16.49x + $10.50

Where x is the number of bags ordered.

Therefore, total cost of 12 bags equals ;

g(12) = $16.49(12) + $10.50

g(12) = $197.88 + $10.50

g(12) = $208.38

Answer:

g(x)=16.49x+10.50

$208.38

Step-by-step explanation:

let the cost of x bags = g(x)

cost of one bag = $16.49

cost of x bags = $16.49x

shipping and handling charges = $10.50

total cost of x bags = 16.49x + 10.50

g(x) = 16.49x + 10.50

To determine the cost of 12 bags, substitute x with 12 and simplify:

g(12) = 16.49(12) + 10.50

= 208.38

What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters. What is the radius of the button? Use 3.14 for π and round to the nearest tenth. i need this answered quick

Answers

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

40.8 = 6.28r

r = 40.8/6.28

r = 6.5

Radius is 6.5 millimeters

Area = πr²

Area = 3.14 × 6.5 × 6.5

Area = 132.7m²

identify the coefficient of x

1. 3xy³

2. xy
___
5

3. 3
___ x y
4

4. 3
___ x²y
4​

Answers

Answer:

3

1/5

3/4

3/4

Step-by-step explanation:

Coefficient is a number that is always written in front of a term.

3xy^3=3

xy/5=1/5

3/4xy=3/4

3/4x^2y=3/4

Hope this helps ;) ❤❤❤

Can someone help me with this plz? Will give brainliest

Answers

Answer:

∆ABC=DBC

Step-by-step explanation:

The angle of ABC, which is 90° is the same as the angle DBC which is also 90°

convert 1000110binary into decimal number system​

Answers

Answer:

70₁₀

Step-by-step explanation:

In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.

Let's solve:

[tex]1000110[/tex]

[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]

[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]

[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]

[tex] = 70[/tex]

Hope I helped!

Best regards!!

simplify 4551 * 5541​

Answers

Answer:

25,217,091

Step-by-step explanation:

4551 * 5541 = 25,217,091

Answer:

4551*5541=25217091

Step-by-step explanation:

There are 30 students in a class. 10 students have a pet dog, 13 students have a pet cat, and 7 students have a pet fish. 4 students have both a pet dog and a pet cat, 6 students have a pet cat and a pet fish, 2 students have a pet dog and a pet fish. 1 student has all three. How many of the 30 students have pets?

Answers

Answer:

9 students have pets

Step-by-step explanation:

From the above question, we are given the following information

Total number of students = 30

Let Pet Dog = D

Pet Cat = C

Pet Fish = F

Number is students that have pet dog

(D) = 10 students

Number of students that have pet cat (C) = 13 students

Number of students that have pet fish (F) = 7 students

Number of students that have Pet dog and cat ( D and C) = 4 students

Number of students that have Pet cat and fish (C and F) = 6 students

Number of student that has pet dog and pet fish (D and F) = 2 students

1 student has all three = ( D and F and C)

Number of student that have a pet Dog only

= n(D) - [n( D and C) + n( D and F) - n(D and C and F)]

= 10 -( 4+ 2 -1)

= 10 - 5

= 5

Number of student that have Pet cat only

= n(C) -[ n( D and C) + n( C and F) - n( D and C and F)]

= 13 -( 4 + 6 - 1)

= 13 - 9

= 4

Number is student that have a pet fish only

= n(F) - [n (C and F) + n( D and F) - n( D and C and F)]

= 7 - [6 + 2 - 1]

= 7 - 7

= 0

The number of students that have pets is calculated as:

(Number of students that have dogs only + Number of student that have cats only + Number of students that have fish only)

= 5 + 4 + 0

= 9

Therefore only 9 students have pets.

7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)

Answers

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

It takes Peter 4 hours to walk 12 miles.If he continues to walk at the same rate, how long will it take him to walk:
a) 7miles. b)11miles?​

Answers

Answer:

a]2.3 hrs

b]3.6hrs

Step-by-step explanation:

4hrs = 12 miles

x       =  7miles

4 x 7=28/12=2.3

4 x 11=44/12=3.6hrs

Answer:

Below in bold.

Step-by-step explanation:

His rate of walking =  12/4 = 3 miles per hour.

So the times for 7 and  11 miles are

(a)  7/3 = 2 1/3 hours.

(b) 11/3 = 3 2/3 hours.

How many times greater is 1,000,000,000 than 1,000,000?that is how many groups of 1 million are there in 1 billion? Please help.

Answers

1,000,000 x 1,000 = 1,000,000,000

Answer:

1,000

Step-by-step explanation:

1,000,000 x 1,000 = 1,000,000,000

1,000,000,000 has 4 more zeros than   1,000,000 and 1,000 has 4 zeros so there 1000 is  the answer.

Find an equation of the line through the point (3,2) with a slope of −2.

Answers

Y=-2x+(-3)

Because you still need to find b so you plug in 3,2 into y=Mx+b so you get 2=-2*3+b
And you solve -2*3 = -6 and 2 divided by -6 is -3 so you get y=-2x+(-3)

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

4x-2

Step-by-step explanation:

4x(3x+5)-2(3x+5)

(4x-2)(3x+5)

you can see that 4x-2 is a factor

What is the equation of the function in vertex form?

Answers

Answer:

Your correct answer is -b/2a

Step-by-step explanation:

What you need to do is  find the coordinates of the vertex from the equation itself, using this formula: x = -b/2a

please help!!!!!!!!!!!

Answers

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.

What the answer fast

Answers

Answer: 60 degrees

Step-by-step explanation:

This triangle is a 30-60-90 right triangle because the hypotenuse is double the shortest side.  Because this is a 30-60-90 right triangle, Angle C, which opens up to the x√3 side, is 60 degrees.

Hope it helps <3

Answer:

angle C=60 degrees

Step-by-step explanation:

cos C=adj/hyp

cos C=√11/2√11

cos C=1/2 ( convert to degrees)

angle C=60 degrees

Is my answer correct? 10 points + brainleist!

Answers

Answer:

your answer is incorrect.  The correct answer is  [tex]h=-13[/tex]  and [tex]k=13[/tex] .

Step-by-step explanation:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex] and a>0, then minimum value of the function at point [tex]\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex].

The given function is

[tex]f(x)=x^2+bx+182[/tex]

Here, a=1, b=b and c=182. So.

[tex]-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}[/tex]

Put [tex]x=-\dfrac{b}{2}[/tex] in the given function to find the minimum value of the function.

[tex]f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182[/tex]

We know that minimum value is 13. So,

[tex]13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182[/tex]

[tex]13-182=-\dfrac{b^2}{4}[/tex]

[tex]-169=-\dfrac{b^2}{4}[/tex]

[tex]169\times 4=b^2[/tex]

Taking square root on both sides.

[tex]13\times 2=b[/tex]

[tex]b=26[/tex]

The value of b is 26.

So, the given function is  

[tex]f(x)=x^2+26x+182[/tex]

Now, add and subtract square of half of coefficient of x.

[tex]f(x)=x^2+26x+182+(13)^2-(13)^2[/tex]

[tex]f(x)=(x^2+2(13)x+(13)^2)+182-169[/tex]

[tex]f(x)=(x+13)^2+13[/tex]

On comparing with [tex]f(x)=(x-h)^2+k[/tex], we get

[tex]h=-13[/tex]

[tex]k=13[/tex]

Therefore, your answer is incorrect.

Other Questions
Type the slope-intercept equationof the line that passes throughthe points (-1,3) and (2,-3).y = [? ]x + [ ] Which sentence in this excerpt from Mark Twains short story The Celebrated Jumping Frog of Calaveras County is an example of direct characterization? I found Simon Wheeler dozing comfortably by the barroom stove of the old, dilapidated tavern in the ancient mining camp of Angel's, and I noticed that he was fat and bald-headed, and had an expression of winning gentleness and simplicity upon his tranquil countenance. He roused up and gave me good-day. I told him a friend of mine had commissioned me to make some inquiries about a cherished companion of his boyhood named Leonidas W. Smiley Rev. Leonidas W. Smiley a young minister of the Gospel, who he had heard was at one time a resident of Angel's Camp. I added, that, if Mr. Wheeler, could tell me anything about this Rev. Leonidas W. Smiley, I would feel under many obligations to him. Simon Wheeler backed me into a corner and blockaded me there with his chair, and then sat me down and reeled off the monotonous narrative which follows this paragraph. Plz help me with the hw I do not have points please help me please I will give you the questions and send it on the comment -4=-1/8e The amount of calories you consume after eating x pieces of candy is represented by the function y=150x. Find the domain of the function and determine whether it is discrete or continuous. Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. 6 is part of the solution. 7 is part of the solution.Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. 6 is part of the solution. 7 is part of the solution. Which statement best describes the demilitarized zone on the Korean peninsula? It separates Pyongyang from Seoul. It serves as a neutral diplomatic zone. It separates the Korean peninsula from China. It serves as a neutral zone between the countries. Which has more mass electron or ion? Digestion primarily occurs where what impact did the world war 1 have on the migration Given: ABC, AC = BC, AB = 3 CD AB, CD = 3 Find: AC The sports car travels along a straight road suchthat its acceleration is described by the graph. Construct thev-s graph for the same interval and specify the velocity ofthe car when s = 10 m and s = 15 m. Which expression is equivalent to g5? 95 5x5x5x5x5x5x5x5x5 99999 999995x5x5x5x5x5x5x5x5 Where are electrons found in the atom?O A. Within the isotopes of the atomO B. Within the nucleus of the atomO C. All at the same distance from the nucleusO D. At different distances from the nucleus An 8 year old boy is hitting classmates and disobeying his teacher. The school psychologist states the boy is expressing the aggressive energy of the id and has not developed enough ego control. Which of the theories discussed in class would agree with the school psychologists analysis help me Please!!!!!!! The intensity of sunlight at the Earth's distance from the Sun is 1370 W/m2. (a) Assume the Earth absorbs all the sunlight incident upon it. Find the total force the Sun exerts on the Earth due to radiation pressure. N (b) Explain how this force compares with the Sun's gravitational attraction. Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 270000 kg and a velocity of 0.325 m/s in the horizontal direction, and the second having a mass of 52500 kg and a velocity of -0.12 m/s in the horizontal direction. What is their final velocity? Which explains the political challenges in the DRC since Sekos toppling in 1997? The country is struggling with child soldiers who commit war crimes. The country is dealing with disagreements over where to sell its vast minerals. The country is adopting a democracy against many warring parties. The country is leading a revolt against a colonial power that wants to take over. A 5 kg block is sliding on a horizontal surface while being pulled by a child using a rope attached to the center of the block. The rope exerts a constant force of 28.2 N at an angle of \theta= = 30 degrees above the horizontal on the block. Friction exists between the block and supporting surface (with \mu_s=\: s = 0.25 and \mu_k=\: k = 0.12 ). What is the horizontal acceleration of the block? Please answer this correctly without making mistakes