A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
How far did it travel? Give your answer in km to 1DP

Answer:

0.004.

Step-by-step explanation:

Assuming "x" is 2,

First we work out (x+4) --> (2+4) = (8)

Next we work out (x^2-5x+6) --> ([2^2]-[5x2]+6) = (20)

Next we work out (x^2-16) --> ([2^2] - 16) = (20)

And finally we work out (x+3) --> (2+3) = (5)

Then the final calculation, assuming that the "/" is a dividing symbol, we do:

(8 / 20 / 20 / 5)

So lets do this in parts...

8 / 20 = 0.4

0.4 / 20 = 0.02

0.02 / 5 = 0.004.

So the final answer is 0.004.

I hope this helps somehow.

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Answer:

(x+3)/(x-2)(x-3(x-4).

Step-by-step explanation:

(x+4)/(x^2-5x+6) / (x^2-16)/(x+3)

= (x+4)/(x^2-5x+6) * (x+3)(x^2 -16)

= (x+4)/(x-2)(x-3) * (x+3)/(x-4)(x+4)

    (x+3)(x+4)

=   --------------

  (x-2)(x-3)(x-4)(x+4)

The (x+4)'s cancel out so we have:

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

Question 18: D

CM splits AD into two congruent segments: AM and DM.

Question 19: B

\(\angle ABM\) and \(\angle DCM\) are alternate interior angles.

Question 20: E

The base angles theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

This means that Dr. Hart result may be not true for the entire population.

Heart disease is a condition when the heart is disturbed. Several types of heart disease, including:

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The length of time it would take Abel and John to do the piece of work when working together is  12 minutes

John is able to do the piece of work in 20 minutes so in a single minute, John would have done:

= 1 / 20 minutes

= 1 / 20 of the job

In a minutes, Abel, who takes 30 minutes, would have done:

= 1 / 30 of the job

The time that it would take both of them together  to do the job is the inverted value of the sum of the time it takes them to do a minute:

= (1 / 20 + 1 / 30 )

= 1/ 12

The inverted value is:

= 12 / 1

= 12 minutes

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Answer:

.8

Step-by-step explanation:

Answer:

5/2+2/4=d

or d=3

Step-by-step explanation:

its all

Answer:

15 students

Step-by-step explanation:

The fraction of students who will repeat the exam is:

\(1-\frac{6}{9}\)

=\(\frac{9}{9} -\frac{6}{9} =\frac{3}{9}\)

simplified is:

\(\frac{1}{3}\)

Extract this fraction of 45:

\(45(\frac{1}{3} )=\frac{45}{3} =15\)

Hope this helps

The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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Answer:

The answer to that question is 5.

The inequality to solve is 56 - x > 0. The solution is x < 56. Therefore, the domain of the function g(x) is x < 56. So, the answer is option B.

The function is defined as g(x) = log(56 - x).

The domain of a logarithmic function is all the values that make the argument of the logarithm positive. In other words, the argument of the logarithm (56 - x) must be greater than 0.

So, we solve the inequality 56 - x > 0 for x

56 - x > 0

Subtract 56 from both sides

-x > -56

Divide both sides by -1, and remember to reverse the inequality

x < 56

Therefore, the domain of the function g(x) is all real numbers x such that x < 56. So, the correct answer is B).

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--The given question is incomplete, the complete question is given

" The domain of g(x) = log 56 - x) can be found by solving the inequality

A. 56-x<0 ,B. 56-x>0,C. 56-x>=0, D. 56-x<=0 "--

Answer:

  4, 0, 3

Step-by-step explanation:

You want to know which numbers are possible values of m, given a graph of the values of m.

The graph shows an empty circle at m=6, and an arrow extending to the left from that point. The empty circle means that m=6 is not a possible value of m.

The arrow extends through possible values of m, and extends to negative infinity. That means m may have any value less than 6. Such values on the offered list are ...

  4, 0, 3

__

Additional comment

The values 6, 7, 9 are not covered by the dot or the arrow, so are not possible values of m.

Answer:

0, 3, 4

Step-by-step explanation:

When the circle is open and pointing to the left, it means that the variable is less than the number the circle is at. In this case, it means that the variable is less than 6, so you would select all values that are less than 6!

I hope I helped!

Answer:

Step-by-step explanation:

margin of error

While allowing subjects to choose their preferred TV show might seem intuitively appealing, random assignment is generally preferred in experimental designs to reduce confounding and provide more reliable results.

Allowing subjects to choose the type of TV show they want to watch could potentially introduce biases and confounding factors into the study. If participants have the freedom to select the content they prefer, they may be more likely to choose shows that align with their pre-existing attitudes and preferences. This could introduce systematic differences between the groups and make it difficult to isolate the effects of violence and sex in the content on memory recall.

By randomly assigning subjects to different types of TV shows, the researchers can create comparable groups that are balanced in terms of individual characteristics and preferences. This random assignment helps to reduce confounding variables and allows for a more accurate evaluation of the impact of violence and sex on memory recall

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12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

Answer:

x = 9 , y = - 3

Step-by-step explanation:

(1)

8.88 = 4.44(x - 7) ← divide both sides by 4.44

2 = x - 7 ( add 7 to both sides )

9 = x

(2)

5(y + \(\frac{2}{5}\) ) = - 13 ← distribute parenthesis by 5

5y + 2 = - 13 ( subtract 2 from both sides )

5y = - 15 ( divide both sides by 5 )

y = - 3

Answer:

0.0000000091

..............

Answer:

x

\( {x}^{2} - 3 \)

Answer:

44

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

18x2=36

36-32=4

The range of the function is [400, ∞) because the interest rate is positive, so the amount of money in the savings account will always increase over time.

Here is a table of values for the function g(x) = 400(1.05)x:

x | g(x)

-------|--------

0 | 400

1 | 420

2 | 441

3 | 462.05

4 | 483.1625

... | ...

The function will never reach 0, because the interest rate is greater than 0.

Therefore, the amount of money in the savings account increases over time. It will never reach 0, because the interest rate is greater than 0.

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Answer:

9l^5n-8l-3<15

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathtt{2a + 2b}\\\mathtt{= 2(2) + 2(2)}\\\mathtt{= 2 + 2\ \boxed{+}\ 2 + 2}\\\mathtt{= 4 + 4}\\\mathtt{= 8}\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathtt{8}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

Circumcenter

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'

since the question states the cost per mile driven is $1.50  and 'x' represents miles driven, D is the answer

Answer:

The standards for partitioning numbers are like the principles for multiplying numbers (when the divisor isn't zero). The quotient is positive if the divisor and dividend have similar/same signs and negative in the event that they have inverse signs. The remainder of any integers (with a nonzero divisor) will be a rational number.

Therefore , the solution of the given problem of combination comes out to be 2300 different ways to make a code.

Combinations are mathematical operations that count all potential arrangements from a collection of elements, where the direction of selection is irrelevant. You can choose any combination of the pieces in any order. It is possible to combine permutations and combinations.

Here,

Given :

=> Code = 3 numbers

Range 1 to 25

So,

n = 25 and r =3

So,

To find the different codes made using 1 to 25 numbers are

=> nCr

=> 25C3

=> 25! / (3! * 22!)

=> 2300

Thus , 2300 different ways to make a code.

Therefore , the solution of the given problem of combination comes out to be 2300 different ways to make a code.

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Answer:

300

Step-by-step explanation:

x(100%-7%)=279

        0.93x=279

                x=300

Answer:

425.39

Step-by-step explanation:

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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