As more years go by, the prediction (extrapolation) becomes reliable.

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Answer:

-44

Step-by-step explanation:

Answer:

a rate

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.

Answer:

20%

Step-by-step explanation:

Divide 15 by 75 to find the percentage.

Answer: B

Step-by-step explanation:

The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours

According to the question;

The one-time service fee of the plumber is; $20

The plumber's hourly rate is; $25 per hour.

The total bill after working on toilet and bathroom came to; $282.50

The expression which represents the plumber's charge is therefore;

where, x = number of hours to complete the job.

Therefore, to find x;

x = 10.5 hours.

The total number of hours it took him to complete the job is; 10.5 hours.

Read more:

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Answer:

Step-by-step explanation:

jordan traveled 255 miles out of 340 miles

340 miles.........................100 %

255 miles..........................   ?

255*100=2500/340=73%

See attachment for math work and answer.

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

Answer: are there choices?

Step-by-step explanation:

Step-by-step explanation:

sin 56 = 11/x

☓ = 11/ 5 Sin 56

= 13.3

Answer:

0.20, 0.24, 0.30, 0.26

Step-by-step explanation:

Hope this helps <3

Answer:

I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.

Step-by-step explanation:

The value of t will be  t ≥ 6 or t ∈ [ 6 , α ) .

Given,

-2t + 5 ≥ -7

Now,

Solving the inequality,

-2t + 5 ≥ -7

Take 5 from LHS of inequality to RHS of inequality .

-2t ≥ -12

The negative signs from both sides are eliminated .

2t ≥ 12

t≥ 12/2

t≥ 6 .

Thus the value of inequality will be t ≥ 6 .

Thus option C will be correct .

Learn more about inequality,

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Answer:

Step-by-step explanation:

Step one;

given

initial weight = 55 pounds

final weight= 45 pounds

Step two:

Required

the % weight decrease

% decrease= initial-final/initial *100

% decrease= 55-45/55 *100

% decrease= 10/55 *100

% decrease= 0.18 *100

% decrease= 18%

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

The simplified form of the given complex number (4i)(5i) is -20.

To simplify the expression (4i)(5i), we can use the properties of complex numbers.

The imaginary unit i is defined as the square root of -1. So, i² = -1.

Now let's simplify the given expression:

(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.

Since i² equals -1, we can substitute -1 for i²:

20i² = 20(-1)

Multiplying -1 by 20, we get:

20(-1) = -20

Therefore, the simplified form of (4i)(5i) is -20.

Learn more about the complex numbers here:

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Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

Answer:

The interval of the domain over which the function m is negative

will be: (6, ∞)

Step-by-step explanation:

We have to determine the interval of the domain over which the function m is negative.

The x-intercept of the graph is:

at y = 0, x = 6

(0, 6) is the x-intercept.

From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.

Thus, the interval of the domain over which the function m is negative will be: (6, ∞)

Answer: (6,00)

Step-by-step explanation:

Answer:

he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)

Answer:

C its C

Step-by-step explanation:

Answer:

The answer is the fourth one

Answer:

25.12 OR 16

Step-by-step explanation:

We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches

2 times 8 = 16

Answer:

65

Step-by-step explanation:

Answer:

In 14,429 the value of 2 is 20 because it's in the tens place. 10 * 20 = 200. 200 is your answer.

Answer:

Missing side is 15 in

area 150 in^2

Step-by-step explanation:

x = √ (25^2 - 20^2)

x = √ 625 - 400

x = √ 225

x = 15

area = bh/2

area = (20 * 15) /2

area = 300 / 2

area = 150

I think it's 500 but maybe Im wrong bc I keep editing my answer

Answer:

The scale factor is 1/2

Step-by-step explanation:

I have a different one but it was supposed to be 1/4