Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.

There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|

An absolute value function is a function such that,

[tex]|x|=-1 when x\geq 0 and |x|=1 when x\leq 0[/tex]

For the given example,

We have been given a parent function f(x) = |x|

We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.

Consider the graph of all absolute value functions.

The graph of f(x) = |x| + 3 is represented blue color.

The graph of f(x) = |x − 6| is represented green color.

The graph of f(x) = |x| is represented red color.

The graph of f(x) = 9|x| is represented violet color.

From this graph, we can observe that,

f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.

Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.

This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|

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Answer:

I believe the answer is C. F(x)= 1/3|x|

Step-by-step explanation:

i hope this helps.

The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

The complete question is given below:-

Which of the following statements are true?

I. Each white blood cell contains millions of haemoglobin molecules.

II. In a sample of blood, there are more red blood cells than white blood cells.

III. HIV destroys red blood cells.

IV. All blood cells come from one pool of stem cells.

A. II and IV only

B. I and IV only

C. II and III only

D. I, III, and IV only

E. I, II, and IV only

The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.

Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

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The correct expression is : [tex]\frac{4 cm }{1 year}[/tex] x [tex]\frac{10 mm}{1 cm}[/tex] x [tex]\frac{ 1 year }{365 days}[/tex]

What is the correct expression?

The first step is to convert year to days.

1 year = 365 days

The next step is to convert cm to mm.

1cm = 10 mm

4 x 10 = 40mm

Now, divide 40 mm by 365 days

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1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 =  ⁷/₉(x + 4)

1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0

Thus, let us rearrange to find the slope.

7x − 9y − 8 = 0

⇒ 9y = 7x - 8

⇒ y = ⁷/₉x - ⁸/₉

Slope; m = ⁷/₉

Now,  the point slope formula is;

y − y₁ = m(x − x₁)

where;

y₁ is the y-coordinate

x₁ is the x-coordinate

m is the slope

Thus the line Passing through (−4,4) is;

y - 4 =  ⁷/₉(x + 4)

2) The equation in general form is;

y = 4 + ⁷/₉x + ²⁸/₉

y = ⁷/₉x + ⁶⁴/₉

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The odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A coin toss is used to determine which team will receive the ball at the beginning of a football game.

The Cougars always choose tails in the toss.

There will total of 8 cases and in 8 cases there will be three cases in which exactly two heads will come so,

3:8

The cases = {TTT, TTH, THT, HTT, HHT, HTH, HHT, HHH}

Thus, the odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

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All the solution of the equation x³ + 8x² + 100x + 800 = 0 will be 10i, -10i, and -8. Then the correct option is D.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

          x³ + 8x² + 100x = -800

x³ + 8x² + 100x + 800 = 0

Then the factor of the equation will be

x³ + 8x² + 100x + 800 = 0

x² (x + 8) + 100(x + 8) = 0

        (x² + 100)(x + 8) = 0

Then all the solution of the equation will be

x = 10i, -10i, and -8.

Then the correct option is D.

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Answer:

d

Step-by-step explanation:

If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

Answer:

x^2-3x-1

Step-by-step explanation:

So we have the equation:

x^3-2x^2-4x-1/x+1

First factor the equation:

(x+1)(x^2-3x-1)/x+1

Then cancel the common factor: x+1 to solve the equation:

x^2-3x-1

Answer:

Yes

Step-by-step explanation:

Answer:

2: no

3: no

4: no

5: yes

6: no

8: no

9: no

10: no

11: yes

Step-by-step explanation:

there are some simple divisibility rules that we can utilize here:

a number is divisible by __ if...

2: ends in [last digit] 0, 2, 4, 6, 8

so 275 is not divisible by 2

3: sum of digits is 3

2 + 7 + 5 = 14 [14 is not divisible by 3]

so 275 is not divisible by 3

4: last two digits are divisible by 4

75 is not divisible by 4

so 275 is not divisible by 4

5: last digit is 0 or 5

so 275 is divisible by 5

6: number is divisible by both 2 and 3

we know that 175 is not divisible by 2 or 3, so 275 is not divisble by 6

8: last three digits are divisible by 8

>> we also know that any number that 8 goes into, 4 also goes into [not always the other way around], meaning that because 175 is not divisible by 4, it must not be divisible by 8

so, 275 is not divisible by 8

9: sum of digits is divisible by 9

>> we also know that 9 only can go into numbers that 3 can go into, so because 175 is not divisible by 3, it must not be divisible by 9

so, 275 is not divisible by 9

10: last digit is 0

so, 275 is not divisible by 10

11 is a bit complicated:

sum of digit in odd places and sum of digit in even places has a difference is divisible by 11 [or is 0]

2 7 5

odd places: 2, 5 (2 + 5 = 7)

even places: 7 (7 = 7)

difference between 7 and 7 is 0 (7-7 = 0),

so, 275 is divisible by 11

hope this helps!! :)

The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2

2x - 3 < x + 2 ≤ 3x + 5

solve differently

2x - 3 < x + 2

2x - x < 2 + 3

x < 5

x + 2 ≤ 3x + 5

x - 3x ≤ 5 - 2

-2x ≤ 3

x ≥ 3/-2

x ≥ -3/2

Therefore, the solution of the compound inequality is 5 > x ≥ -3/2

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[tex]\textsf {Simplifying the exponents :}[/tex]

[tex]\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}[/tex]

[tex]\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}[/tex]

[tex]\mathsf {\frac{1}{5x^{8}y^{13}}}[/tex]

Answer:

5

Step-by-step explanation:

Divide 200 by 40 to get 5.

Answer:

ig 5 Apples can be Brought with Rs. 200

Step-by-step explanation:

Rs. 40 = 1 apple

Rs. 200 = ? Apple

therefore 5 apples can be brought...

Hope it Helps!!!

Each step of the proof are:

The given parameter is:

Lines a and b are parallel.

This is represented as; a || b

Corresponding angles are equal.

∠1 and ∠5 are corresponding angles.

So, we have: ∠1 ≅ ∠5

Also, they are congruent.

So, we have ∠1 ≅ ∠5

Vertical angles are equal.

∠5 and ∠7 are vertical  angles.

So, we have: ∠5 ≅ ∠7

Also, they are congruent.

So, we have ∠5 ≅ ∠7

According to the transitive property;

If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7

Hence, it has been proved that ∠1 ≅ ∠7

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Answer:

i think the answer would be 53?

Step-by-step explanation:

i could be wrong

Step-by-step explanation:

the answer is d= -46/-7

or in simplest form

d= 6.57

hope this is correct...

The statement D is false that No irrational number is rational.

The set of real numbers includes integers, rational numbers, and irrational numbers.

This implies that all irrational numbers and integers are also real numbers.

Thus, statements A and B are correct.

Rational numbers are numbers that can be written as the division of two integers, which thus also include all integers.

The set of irrational numbers then contains all real numbers that are NOT rational numbers

Therefore, the set of irrational numbers does not include integers, which implies that statement D is false.

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The statement about using the line of best fit for the given scatter plot is; False

When we have a scatter plot, it is always best to look for the line of best fit or curve of best fit depending on the nature of the variation of the plotted points.

Now, from the scatter plot image attached, we can see that the points are already looking like a curved plot form and so what we will need her will be a curve of best fit and not a line of best fit plot and as such the statement about using a line of best fit plot is false.

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Unit conversion is a way of converting some common units into another without changing their real value. The correct option is D.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The complete question is mentioned in the below image.

Given that 2 inches are 5 centimeters. Therefore, the ratio of an inch to centimeters are,

2 inches = 5 centimeters

1 inch = 5/2 centimetes

Now, if using the ratio, the measurements are converted then,

A.) 7 inches = 7 × (5/2)centimeters = 17.5 centimetes

B.) 5 inches = 5 × (5/2)centimeters = 12.5 centimetes

C.) 8 inches = 8 × (5/2)centimeters = 20 centimetes

D.) 3 inches = 3 × (5/2)centimeters = 7.5 centimetes

As it can be observed that the correct statement is D If 2 inches is 5 centimeters, then 3 inches is 7.5 centimeters. Hence, the correct option is D.

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The formula for number of buses per person is b = p/50

This is a way of using a variable to represent other variables in a function.

Given the expression

p = kb

If k = 50, then;

p = 50b

Make b the subject of the formula

p/50 = 50b/50
b = p/50

Hence the formula for number of buses per person is b = p/50
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Answer:

x= -10 , x= -5 , x=5

Step-by-step explanation:

we are given function as

x^3+10x^2-25x-250

We are given one of zero is x=-10

we can find all possible factors of 250

so, we will check zeros at x=-5 and x=5

At x=-5:

we can plug x=-5

At x=5:

we can plug x=5

So, other zeros are

x=-5 and x=5

All zeros are

x=-10 , x=-5 , x=5

Answer:

[tex]\dfrac 5{13}[/tex]

Step-by-step explanation:

[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} = \dfrac{5}{\sqrt{5^2 +12^2}} = \dfrac 5{\sqrt{169}} = \dfrac 5{13}[/tex]

Answer:

[tex]\huge\boxed{\sf Option \ D}[/tex]

Step-by-step explanation:

[tex]\displaystyle =\frac{36}{25} \\\\[/tex]

36 and 25 have no common factor as:

and

So, No factor can be cancelled out and thus, the expression can not be simplified further. So, It will remain the same.

[tex]\rule[225]{225}{2}[/tex]

Answer:

d

Step-by-step explanation:

i did it

Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).

A linear function is modeled by:

y = mx + b

In which:

If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:

m = (4 - 3)/(9 - 12) = -1/3.

Hence, for the perpendicular set:

[tex]-\frac{1}{3}m = -1[/tex]

m = 3.

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The choice trigonometric ratio is tangent and the distance is 3. 98 meters.

The given angle is 86

The opposite side is given as 57 meters

The distance is in the adjacent

Thus, trigonometric ratio to use is the tangent

Tangent = opposite/ adjacent

We have,

tan 86 = 57/x

14. 300 = 57/x

x = 57/ 14. 300

x = 3.i 98 meters

Thus, the choice trigonometric ratio is tangent and the distance is 3. 98 meters.

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Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

Answer:

it would look like this

Step-by-step explanation:

Answer:

x=(y-3)/4

Step-by-step explanation:

y=4x+3

y-3=4x

x=(y-3)/4

Answer:

-1

Step-by-step explanation:

From 10 to 8.5   is  - 1.5  

   this is -1   S.D.   below the mean

(8.5 - 10)/1.5 = -1