There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?

Answer:

2.25 x 10

Step-by-step explanation:

In the above question, we were given :

The weight of the Elephant = 9 × 10³ pounds

The weight of the African Lion = 4 × 10² pounds

We would compare both weights to determine which size is bigger

Weight of Elephant : Weight of Lion

9× 10³ : 4 × 10²

= 9 × 10³/4 × 10²

= 2.25 × 10¹

= 2.25 × 10

The weight of the elephant is 2.25 × 10 times greater than the weight of the lion.

Answer:

(x + 9) (x - 7)

Step-by-step explanation:

when we put x + 9 = 0 then x = -9 as it's the root of the fuction.

same thing here: x - 7 = 0 then x = 7

Answer:

y= -4

Step-by-step explanation:

Khan Academy

The equation of a line that is perpendicular to x = 3 will be y = -4.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation is given below.

x = 3

The equation of the line that is perpendicular to the line x = 3 is given as,

y = d

The line is passing through (0, -4), then the equation of the line is given as,

y = -4

The equation of a line that is perpendicular to x = 3 will be y = -4.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

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Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

because x^{2} represents the quadratic equation, so I don't think it will affect it

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3                2. 12                3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

Answer: C) 12

Step-by-step explanation:

This problem makes use of Cross Multiplying.

Simply do:

2x*3y=9*8

6xy=9*8

6xy=72

xy=12

Hope it helps <3

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]

Let x is the distance between the bird and the nest

So,

[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]

So, the distance between the bird and the nest is 18311.61 m.

Answer:

8,604

Step-by-step explanation:

Answer:

A=24 CM²

Step-by-step explanation:

10 x 2 + x=28

20+x=28

x=8

a=b x h/2

a=6 x 8 / 2

a=24CM²

Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

Hope this helps and pls mark as brainliest :)

Answer:

14

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Hope this help

Mark me BRAINLIEST

Tysm

Answer:

1.148 repetent

Step-by-step explanation:

hope this helps

Answer:

2267676767/1000000000

Step-by-step explanation:

To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000

And finally we have:

2.267676767 as a fraction equals 2267676767/1000000000

Hope it helps.. If yes mark me BRAINLIEST!!

TYSM!

Answer:

2267676767/1000000000

Step-by-step explanation:

when converting a decimal to fraction,

write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.

since we have nine digits after the decimal point  nine zeros are put after the '1'

Answer:

5

Step-by-step explanation:

First you need to add all the digits so 1 +2+5+5+6+6+7+8 = 40

Then, divide that by the number of digits which is 8.

Therefore, 40/8 = 5, which is the answer.

I hope this helped!

Answer:

(-13)^35

Step-by-step explanation:

As instructed,

(-13) * (-13) ...(-13) 35 times is represnted as

(-13)^35

( = -972786042517719014174576083150881262357   .... by the way)

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

Answer:

x = 80 degrees

Step-by-step explanation:

y degrees = 180 - 55 - 45 (Angles in a triangle add up to 180 degrees)

y degrees = 80 degrees

x = y (Vertically opposite angles are equal)

So,

x = 80 degrees

Answer:

[tex]y=9x+33[/tex]

33 gallons of water to begin with.

Step-by-step explanation:

So, we are essentially given two coordinates: (6,87) and (21,222). To find an equation, we will need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

Using the slope formula, the slope is:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9[/tex]

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]y-(87)=9(x-(6))[/tex]

Distribute:

[tex]y-87=9x-54[/tex]

Therefore:

[tex]y=9x+33[/tex]

So, there were 33 gallons of water in the tank to begin with.

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

Do you know the adjustments for the graph to show the intersecting lines.

Answer:

C

Step-by-step explanation:

First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.

Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.

Thus, f(x) = -2 g(x)

Answer:

i. 70%

ii. 70%

Step-by-step explanation:

Since in the question,  it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas

i. Now if half ordered tacos that means out of these 30 orders enchiladas.

since 30 ordered tacos that means 70% ordered enchiladas

ii. Now for 3 by 4 we have to assume the number of people who ordered only  enchiladas be x

So,

For both,  it would be 0.75 x

And, the number of people who did not order is 40 as 60 tacos are ordered by people

So, the percentage is

= 40 × 0.75 + 40

= 30 + 40

= 70%

Answer:

Step-by-step explanation:

Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°

Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.

Hope this helps...

Best regards!!

Answer:

H. 1/9.

Step-by-step explanation:

The area of a circle is calculated by solving for π[tex]r^2[/tex].

The smallest circle has an area of π[tex]1^2[/tex] = π * 1 = π.

The middle ring will then have an area of π[tex]2^2[/tex] - π = π * 4 - π = 4π - π = 3π.

The largest ring will then have an area of π[tex]3^{2}[/tex] - π[tex]2^{2}[/tex] = 9π - 4π = 5π.

5π + 3π + π = 9π

So, the probability of hitting the innermost circle will be π / 9π = 1 / 9.

Your answer is H. 1/9.

Hope this helps!

Answer:

20>4

Step-by-step explanation:

12-3 forget about the x 12-3=9 . 9+11=20

(17-9)=8 . 8-4 =4

so your answer is correct

Answer:Subtract 3x from 12x

9 x + 11 > 4 x − ( 17 − 9 x )

Simplify  4 x − ( 17 − 9 x ) .

9 x + 11 > 13 x − 17

Move all terms containing  x  to the left side of the inequality.

−4 x + 11 > − 17

Move all terms not containing  x  to the right side of the inequality.

− 4 x > − 28

Divide each term by  − 4  and simplify

x < 7

Interval Notation:

( − ∞ , 7 )

Answer as a fraction = 1/18

Answer in decimal form (approximate) = 0.0556

Answer in percent form (approximate) = 5.56%

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

Explanation:

We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.

Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.

So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.

Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

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

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

Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.

We have 6 x 6 = 36 ways to roll out two dice.

Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.

Those two outcomes are 1+2 and 2+1.

Thus, the number of events we want is 2 out of 36 total,

2/36 = 1/18 is the probability.

1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

Therefore,  the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Learn more about probability here;

https://brainly.com/question/11234923

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Answer:Sin

Step-by-step explanation:

right angled triangle special trig functions can be applied

Answer:

The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".

Step-by-step explanation:

In the given question some data is missing. so, the correct answer to this can be explained in the following example:

In the given example, point D  is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:

⇒2-8 = -6

⇒ 5-7 = -2

It can try certain things too and see why this alone is the correct translation.  

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

[tex]2^2=4,4^2=16,6^2=36,8^2=64[/tex]

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

[tex]16^2=256[/tex]

[tex]26^2=676[/tex]

[tex]36^2=1296[/tex]

[tex]46^2=2116[/tex]

[tex]56^2=3136[/tex]

[tex]66^2=4356[/tex]

[tex]76^2=5776[/tex]

[tex]86^2=7396[/tex]

[tex]96^2=9216[/tex]

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

As an approximate decimal, this is 0.5556 which converts to 55.56%

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

Explanation:

Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.

We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.

The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.

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

You could also compute 0.50/0.90 to get the same answer.

Answer: A y = -(2x+8)

Step-by-step explanation:

The first line is y=-2x-8

Thus, the answer that simplifies to y = -2x-8 is the answer.  

a) y=-(2x+8)

Distribute

y=-2x-8

Because it works, no need to try the others.

Hope it helps <3

Answer:

[tex]\boxed{y = -(2x + 8)}[/tex]

Step-by-step explanation:

For the two lines to have infinite [tex]\infty[/tex] solutions, the two equations must be the same.

First equation : y = -2x - 8

A. y = -(2x + 8)

   y = -2x - 8 correct

B. y = -2(x - 8)

   y = -2x + 16 incorrect

C. y = -2(x - 4)

   y = -2x + 8 incorrect

D. y = -(-2x+8)

    y = 2x - 8 incorrect

y = -2x - 8 and y = -(2x + 8) when graphed are the same, they intersect at infinite points and there are infinite solutions.