A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres

Answers

Answer 1

The answer is 2.1 Km. Hope this helps!


Related Questions

How many exterior walls does the building have?

Answers

Answer:

18

Step-by-step explanation:

360÷20=18

twentycharactersignorethis

the building has 16 exterior walls

Which of the following is not an example of a parent function?
y=x
y=2x^3
y=1/2
y=2^x

Answers

9514 1404 393

Answer:

  (b)  y=2x^3

Step-by-step explanation:

The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.

_____

Additional comment

A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.

If this is a "check all that apply" question, then y=1/2 is another reasonable answer.

Answer:(b)  y=2x^3

Step-by-step explanation:

19. Which of the following would best be solved using factoring the difference of squares?
O x^3 + 5x^2 - 9x - 45 = 0
O 3x² + 12x = 8
O x^2 - 25 = 0
O x^2 + 3x – 10 = 0


Please hurry!

Answers

Answer:

x² + 3x - 10 = 0

x² - 25 = 0

how do I solve this equation?
[tex]x + 8y = 20 \\ 2x + 4y = 4[/tex]

Answers

Answer:

Subtract x x from both sides of the equation. 8y=20−x 8 y = 20 - x. Divide each term by 8 8 and simplify.

Solve for x 2x-4y=4. 2x−4y=4 2 x - 4 y = 4. Add 4y 4 y to both sides of the equation. 2x=4+4y 2 x = 4 + 4 y. Divide each term by 2 2 and simplify.

X = -8y + 20
2(-8y + 20) +4y = 4
-16y + 40 + 4y = 4
-12y +40=4
Subtract 40 from each side
-12y= -36
Divide both by -12
y = 3
Plug Y=3 in to find x
X + 8(3) = 20
X + 24 = 20
Subtract 24
x = -4

Translate this sentence into an equation.
60 is the sum of 15 and Mabel's age.
Use the variable m to represent Mabel's age.

Answers

Answer:

60 = 15+m

Step-by-step explanation:

sum is the outcome or total of an addition problem

Find the midpoint of the line segment.

Answers

Answer:

-2,-3

Step-by-step explanation:

Can someone help me with this question please.

Answers

Answer:

The rule is to divide the weight of the bag by 4 to find the number of marbles.

Step-by-step explanation:

The rule is to divide the weight of the bag by 4 to find the number of marbles.

Ahmad made $114 for 12 hours of work. At the same rate, how many hours would he have to work to make $108?​

Answers

Answer:6

Step-by-step explanation:


Answer: 6

Step-by-step explanation

write all the integers between the pairs in increasing orders A.-30 and -23 B. -3 and 3
please help​

Answers

Answer:

Step-by-step explanation:

-30, -29,-28,-27,-26,-25,-24,-23

B) -3,-2,-1,0,1,2,3

Solve this equation:


7d

___________

(2d+1)(3d-1)

Answers

Answer:

Step-by-step explanation:

(2d + 1)(3d - 1)

2d(3d - 1) + 1(3d - 1)

6d^2 - 2 + 3d + 1

6d^2 - 1 + 3d

6d^2 + 3d - 1 (after arranging in standard form)

Answer:

7d/(2d+1)(3d-1)=6d^2 + 3d - 1

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered.

Please help me understand

Answers

Answer:

A is is correct since the interquatile or a is 15 since 15 plus 15 equals 30 and 20 plus 20 equals 40

B is incorrect since the interquare are not both 30

C is incorrect since both interquatiles are wrong

D is incorrect since the standrard devations are off

The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

Answers

Answer:

8+6=14

So , we can multiply 14 to 45 =630 in ratio 6:30

-6c< -12
what will the answear be

Answers

Answer:c>2

Step-by-step explanation:

-6c (divide) (-6) > -12 (divide) (-6)

c>-12 (divide) (-6)

c>12 (divide) 6

c> 2

Consider functions f, g, and h.
F(x) = 3x^3 + 9x^2 al- 12x g(x) = x - 1 h(x) = 3x2 + 12x
Which expression defines function h?

Answers

The relation between the functions f(x), g(x), and h(x) will be f(x)/g(x) is equal to h(x). Then the correct option is B.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

f(x) = 3x³ + 9x² - 12x

g(x) = x - 1

h(x) = 3x² + 12x

The function f(x) can be written as

f(x) = 3x(x² + 3x - 4)

f(x) = 3x(x² + 4x - x - 4)

f(x) = 3x(x + 4)(x - 1)

f(x) = (x - 1)(3x² + 12)

Then divide the function f(x) by the function g(x), then we have

f(x) / g(x) = (x - 1)(3x² + 12) / (x - 1)

f(x) / g(x) = (3x² + 12)

f(x) / g(x) = h(x)

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

B

Step-by-step explanation:

edmentum

PLEASE HELP ME WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180 degrees.

A

50 + 40 + 90 = 180    good

B

55 + 35 + 90 = 180     good

C

45 + 40 + 90 = 175    not good

Answer: C

What is the answer to this question

Answers

Answer:

its b because when subtract 30-24=6

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3,
what is the equation of the new function?
A. g(x) = x - 3
B. g(x) = 3x
O C. g(x) = 3 - x
D. g(x) = 3 *
SUBMIT

Answers

Answer:

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Step-by-step explanation:

Horizontally stretching a function:

Horizontally stretching a function f(x), by a factor of a, means that:

[tex]g(x) = f(\frac{x}{a})[/tex]

In this question:

[tex]f(x) = x[/tex], horizontally stretched by a factor of 3, so [tex]a = 3[/tex], and:

[tex]g(x) = f(\frac{x}{3}) = \frac{x}{3}[/tex]

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Let (fx)= -14x+3 and g(x) =x^2 +10
Find f(5)-g(5)=

Answers

Answer:

-102

Step-by-step explanation:

First, substitute the value into each equation and solve:

f(5) = -14(5) + 3 = -70 + 3 = -67

g(5) = (5)² + 10 = 25 + 10 = 35

-67 - 35 = -102

Solve the equation ln(x - 3) + ln(x + 1) = ln(x + 7)

x = 5, or x = ???

Answers

Answer:

x = 5 or x = - 2

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

log x = log y ⇒ x = y

Given

ln(x- 3) + ln(x + 1) = ln(x + 7) , then

ln (x - 3)(x + 1) = ln (x + 7) , so

(x - 3)(x + 1) = x + 7 ← expand left side using FOIL

x² - 2x - 3 = x + 7 ( subtract x + 7 from both sides )

x² - 3x - 10 = 0 ← in standard form

(x - 5)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

The perimeter of a rectangle is 58 inches and the area is 180 square inches. Find the dimensions of the rectangle.

Answers

Answer:

width = 9 inches

length= 20 inches

perimeter of the rectangle=2(9+20)

2w +2L= 2×29

=58 inches

area of the rectangle=L

=9×20=180 inch²

1. Cheryl Douglas works 43 hours in a week for an exempt salary of $1,827 per week. What are Cheryl's gross weekly earnings?​

Answers

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

2. Suppose the measures of the interior angles of a convex octagon are eight
numbers, each separated by a value of 1 degree from its neighbors. Find
the measure of the second smallest angle.
118°
131°
132.5°
142°
None of these answers are correct.

Answers

Answer:  132.5 degrees  (choice C)

=====================================================

Explanation:

The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.

For any polygon with n sides, the interior angles add up to 180(n-2)

We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.

Any octagon has its interior angles add up to 1080 degrees.

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

Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.

Add up those 8 angles, set the sum equal to 1080 and solve for x

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080

8x+28 = 1080

8x = 1080-28

8x = 1052

x = 1052/8

x = 131.5

This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees  (choice C)

PLEASE ANSWER ASAP FOR BRANLIEST!!!!!!!!!!!!

Answers

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

PLEASE GIVE BRAINLYIST!!

Suppose we are sending a digital signal which is a string of 0s and 1s of length five. (Example stringsare 00101, 11000, 10101 are all 5 bit strings.) When we send the message, each bit (0 or 1) is sentindependently and there is some chance that the bit is corrupted. Namely, each time we send a 0 thereis a 5% chance that a 1 is received and each time we send a 1 there is a 5% chance a 0 is received.Suppose we send a message of length 5, what is the probability that an incorrect message is received

Answers

Answer:

0.7738 = 77.38% probability that an incorrect message is received.

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% probability a bit is sent incorrectly:

This means that [tex]p = 0.05[/tex]

Message of length 5

This means that [tex]n = 5[/tex]

What is the probability that an incorrect message is received?

This is the probability of at least one incorrect bit, which is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738[/tex]

0.7738 = 77.38% probability that an incorrect message is received.

Someone please help with the questions on this picture!! URGENT!!!

Answers

Answer:

A) Independent

B) Dependent

Step-by-step explanation:

A) If we take a marble out and put the marble back, it means we have restored the sample to what it was initially and thus it doesn't affect probability of making another selection.

Thus, this is an independent event.

B) A card is taken from a deck of cards without replacement and set aside. Then after that another card is taken from the first sample, this means that the first sample size has now reduced and thus the first card taken affects the probability of the second card to be picked. Thus, this is a dependent event.

an isosceles triangle has one angel that measure 30 degree what is the measure of the other two angles that are equal?​

Answers

30+30=60, 180-60= 120 degrees

A knight wanted to visit a princess.
He had to arrive at exactly 17h00.
If he travelled at 15 km per hour, he would arrive one hour too early.
If he travelled at 10 km per hour, he would arrive one hour too late.
Questions : 1- At what time did he leave?
2- What distance did he travel?
3- At what speed did he travel?

Answers

Answer:

He had to arrive at 5:00pm

If he traveled at 15km per hour, he would arrive one hour too early

If he traveled at 10km per hour, he would arrive one hour too late.

At what time did he leave, what distance did he travel, and at what speed did he travel

:

Let d = distance traveled

:

Write an time equation; time = dist/speed

Travel time at 10 km/hr - travel time at 15 km/h = 2 hrs

d%2F10 - d%2F15 = 2

Multiply by 30

3d - 2d = 30(2)

d = 60 km is the distance

:

Find the travel time at 15 km/hr

60%2F15 = 4 hrs

:

let s = speed required to get there on time

:

required travel time - 15km/hr travel time = 1

60%2Fs - 4 = 1 hr

60 - 4s = 1s

60 = 1s + 4s

60 = 5s

s = 12 km/hr to arrive on time

:

Required travel time: 60%2F12 = 5 hrs

He would have to leave at noon

;

Summarize, depart at noon, travel for 5 hrs at 12 km/hr, a dist of 60 km

Step-by-step explanation:

Please anybody? Line intergal

Answers

Parameterize the path by

r (x) = (x, x + 2)

with 0 ≤ x ≤ 2. Then

r' (x) = (1, 1)   ==>   ||r' (x)|| = √(1² + 1²) = √2

and the line integral is

[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]

Defined the total variation distance to be a distance TV(P,Q) between two probability measures P and Q. However, we will also refer to the total variation distance between two random variables or between two pdfs or two pmfs, as in the following.

Compute TV(X,X+a) for any a∈(0,1), where X∼Ber(0.5).

TV(X,X+a) = ?

Answers

Answer:

1

Step-by-step explanation:

Computing Tv(X, X + a ) for any a∈(0,1)

Given that :  X∼Ber(0.5)

∴ The probability mass function

    P(X = 1 ) = 0.5

    P(X = 0) = ( 1 - 0.5 )

and expectation  E[X] = 0.5

hence ; TV ( X, X + a ) = 1

Given the system of equations, what is the solution? 2x+y = -1 х- у = -5​

Answers

Answer:

x=-2, y=3

Step-by-step explanation:

make it easy first, solve for x in the second equation: x= -5+y.

then sub that in for the other x: 2(-5+y)+y= -1

now combine like terms: -10+3y= -1

solve for y: 3y=9, y= 3

then replace y for your second equation: x-3= -5

solve for x= -5+3.... so then its -2

check by replacing all variables with your new solutions:

2(-2), which is -4+3 does equal -1

(-2) -3 does equal -5.

your answers are x=-2, y=3

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