Un tren va a 70 km/h debe reducir su velocidad a 30 km/h al pasar por un puente si realiza la operación en cinco segundos qué camino ha recorrido ese tiempo

Answer: [tex]m\angle DE F=90^{\circ}[/tex]

Step-by-step explanation:

The slope of [tex]DE[/tex] is [tex]\frac{7-3}{5-4}=4[/tex].

The slope of [tex]EF[/tex] is [tex]\frac{3-2}{4-8}=-\frac{1}{4}[/tex].

Thus, [tex]DE \perp EF[/tex], meaning [tex]m\angle DE F=90^{\circ}[/tex].

Answer:

y - 4 = (32/3)x

Step-by-step explanation:

x-intercept: -3/8

y-intercept: 4

x-intercept: (-3/8, 0)

y-intercept: (0, 4)

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (4 - 0)/(0 - (-3/8)) = 4/(3/8) = 32/3

y - y_1 = m(x - x_1)

y - 4 = (32/3)x

Answer: 45

Step-by-step explanation:

The total profit in all was [tex]1040-900=\$ 140[/tex].

The total profit per pizza was [tex](0.50)(8)=\$4[/tex].

This means they sold [tex]\frac{140}{4}=35[/tex] pizzas.

Adding this to the 10 pizzas held back, there were [tex]35+10=45[/tex] pizzas in the original order.

The two values with the same value as 18 ones and 302 thousandths, given their place values, are:

Place value describes the position or place of a digit in a number, which determines its numerical value.

Place values form the basis of the number system because the position occupied by a digit in a number shows its value.

The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.

After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.

18 ones and 302 thousandths

= 1 ten + 8 ones + 3 tenths + 2 thousands

= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)

Thus, 18 ones and 302 thousandths share the same place values as Options B and D.

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Answer:

2p+32

Step-by-step explanation:

8(p+4)-6p

8(p)+8(4)-6p

8p+32-6p

8p-6p+32

2p+32

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The 0.39 dollar would have to present in order to obtain a probability of 0.500.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Using the sample size relation with the standard normal distribution, the required sample size is 64  samples.

σ = $80 and n = 64

n = [(Z × σ) / ME]²

ME = margin of error

Z = 0.500

Now Substituting the values into the equation :

n = [(Z × σ) / ME]²

n = [(0.500 × 80 ) / 64]²

n = (40/ 64)²

n = 0.625²

n = 0.39

Therefore, the 0.39 dollar would have to present in order to obtain a probability of 0.500.

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Answer: its answer b

Step-by-step explanation:

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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Answer:

17 and -7

Step-by-step explanation:

5 - 17 is -12.

5 - (-7) is 12.

Since we are looking at the absolute value, the sign doesn't matter.

Step-by-step explanation:

r=17

pi=22/7

22/7×14×2

22×2×2=88

so i cancelled out 7 cuz 7×2 is 14 and so i made 14 as 2

Answer:

[tex](1,0)[/tex]

Step-by-step explanation:

This is where the function changes from decreasing to increasing.

Answer:

it is a linear function

f(x)=4x-4

Step-by-step explanation:

to find slope we use y2-y1/x2-x1

0-(-4)/1-0

4/1

4 is the slope y=mx+b is the slope intercept where m is the slope and b is the y intercept so to find intercept we look for what y equals when x is 0

when x is 0 y is -4 so the is the y intercept and we enter it into equation

y=4x-4

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Answer:

D. The sum of the angles is 90°.

Step-by-step explanation:

The definition of complementary angles is that their measures add to 90°.

The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

In the question ,

it is given that ,

the matrix A is A = [tex]\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]

and the matrix B is B = [tex]\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]

we need to find the value of the equation  2A - 4B ,

Step 1: multiplying the matrix A with 2 ,

we get ,

2A = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]

Step 2 : multiplying the matrix B with 4 ,

we get ,

4B = [tex]\left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

So , the equation is represented as

2A - 4B = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-2-28&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]

After  further simplification ,

we get ,

= [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]

Therefore , The value of the equation 2A - 4B from the given matrices is  [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .

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Answer:

[tex]\huge\boxed{\sf x = 128\°}[/tex]

Step-by-step explanation:

x + 52° = 180 (Angles on a straight line add up to 180°)

Subtract 52 to both sides

x = 180 - 52

x = 128°

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

Answer:

X= 128°

Step-by-step explanation:

The angels on a straighlije add up to 180°

hence <DCA+ <BCA= <BCD

X+ 52°=180°

X=180°-53°

X=128°

y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-x     -x

x+6=-4

  -6 -6

x=-10

Answer:

x = -10

Step-by-step explanation:

HOW TO SOLVE YOUR PROBLEM

1. Distribute

2(x + 3) = x - 4

2x + 6  = x - 4

2. Subtract 6 from both sides

2x + 6  = x -4

2x + 6 - 6 = x - 4 - 6

3. Simplify

Subtract the numbers:

2x + 6 - 6 = x - 4 - 6

2x = x - 4 - 6

Subtract the numbers:

2x = x - 4 - 6

2x = x - 10

4. Subtract x from both sides

2x = x - 10

2x - x = x - 10 - x

5. Simplify

Combine like terms:

2x - x = x - 10 - x

1x  = x - 10 - x

Multiply by 1:

1x = x - 10 - x

x = x - 10 - x

Combine like terms:

x = x - 10 - x

x = -10

Solution:

x = -10

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Answer:

1/3 cup

Step-by-step explanation:

A brownie recipe needs 1/2 cup of white sugar per batch if I only want to make 2/3 of a batch how much white sugar do I need?

1/2 * 2/3 = 2/6 = 1/3 cup

A) Probability that the dart lands on $5 = 9/16

B) Probability that the dart lands on $30= 1/4

C) Probability that the dart lands on $50 = 1/8

D)  Probability that the dart lands on $100 = 1/16

E) The expected payoff for throwing a dart = $100

What is probability?
The estimation of the probability that experiments will take place is one use of probability theory. We can calculate anything using a probability, such as the likelihood of making a research error or the probability of getting heads or tails when flipping a coin. This branch of mathematics requires a thorough understanding of the formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two events joining together.

Let the area of the board will = 1

Area of $5 = 1/2+1/16 = 9/16

Area of $30 = 1/4

Area of $50 = 1/8

Area of the $100 = 1/16

Probability of the dart land on $5 = 9/16

Probability of the dart land on $30 = 1/4

Probability of the dart land on $50 = 1/8

Probability of the dart land on $100 = 1/16

The expected payoff for throwing a dart = $100

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The average speed 70 miles/hour, Dee needs to cover the remaining distance in 6 hours.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

Total distance of trip = 1020 miles

Average speed of Lila = 68 mph

And time taken by Lila for driving = 5 hours

Distance covered by Lila = 68×5 = 340 miles

Average speed of Mary - 65 mph

And time taken by Mary for driving = 4 hours

Distance covered by Mary = 65×4 = 260 miles

Distance covered by Lila and Mary = 340+260 = 600

Remaining distance = 1020-600 = 420

Dee covers 420 miles distance in 6 hours,

Speed of Dee= 420/6 = 70 miles/hour.

The average speed of Dee is 70 miles/hour.

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The matrix formed after solving C-D is C-D = -4     8    10

                                                                              4   -12   -6

                                                                              1      2    4

What is Matrix in Mathematics?

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organised in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.

Solution:

Given That Matrix C = 1   7   5

                                    4   -7  0

                                    2   6   7

Also, Matrix D = 5   -1   -5

                          0    5   6

                          1     4    3

To Find: C-D

Since the order of both the matrices is 3 * 3

we can solve the problem

For this we will substract each element from Matrix C from its corresponding element in Matrix D

C-D = (1-5)   (7+1)   (5+5)

         (4-0)   (-7-5)   (0-6)

         (2-1)   (6-4)   (7-3)

C-D = -4     8    10

           4   -12   -6

           1      2    4

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Answer:

375 minutes

Step-by-step explanation:

72 km = 90 mins. 32 km = 40 mins. how many mins = 300 km?

72/90 = 0.8

32/40 = 0.8

so:

300/x = 0.8

multiply both sides by x:

x(300/x) = 0.8(x)

300 = 0.8x

divide both sides by 0.8:

x = 375

The quadratic function is y = 2x^2+3x-4.

Given:

The quadratic function y = ax² + bx + c whose graph passes through the given points.(-1,-5), (1,1),(-2,-2)

(-1,-5) passes.

y = ax^2+bx+c

-5 = a(-1)^2+b*-1+c

-5 = a-b+c

(1,1) passes.

1 = a*1^2+b*1+c

1 = a+b+c

(-2,-2) passes.

-2 = a(-2)^2+b*-2+c

-2 = 4a-2b+c

on solving three equations

a = 2 , b = 3 and c = -4

The quadratic equation is y = 2x^2+3x-4.

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Step-by-step explanation:

4x + 17 = 49

subtract 17 from both sides:

4x + 17 - 17 = 49 - 17

4x = 32

divide both sides by 4:

4x/4 = 32/4

x = 8

The solution for f(3) in the function f(x) = 7x² - 2x is 57

From the question, we have the following equation that can be used in our computation:

F(X) = 7x2-2x

To make the equation legible, we need to rewrite it

So, we have the following representation

f(x) = 7x² - 2x

Also from the question, we have

f(3)

This means that the value of x is 3, and we calculate f(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

f(3) = 7x² - 2x

So, we have the following equation

f(3) = 7(3)² - 2(3)

There are constants to add or subtract to both sides of the equation

So, we have the following representation

f(3) = 57

Hence, the solution is 57

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Answer: 4.3 meters

Step-by-step explanation:

Let the angle opposite the 3-meter side be [tex]\alpha[/tex].

Using the Law of Sines,

[tex]\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})[/tex]

Using the sum of the angles in a triangle, the angle opposite the side [tex]\ell[/tex] is [tex]155^{\circ}-\arcsin(1.5 \sin 25^{\circ})[/tex].

Using the Law of Sines,

[tex]\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3[/tex]

Answer:  The correct answer is 4.3

Step-by-step explanation:

This is an Obtuse Scalene Triangle

Side a = 2

Side b = 3

Side c = 4.26571

Angle ∠A = 25°

Angle ∠B = 39.34°

Angle ∠C = 115.66°

Area = 2.70415

Perimeter p = 9.26571

Semiperimeter s = 4.63285

Calculate c, ∠B, and ∠C based on given a, b, and ∠A.

∠B = arcsin(b·sin(A)/a)

= 0.68662 rad = 39.34°

∠C = 180° - A - B = 2.01864 rad = 115.66°

c = a·sin(C)/sin(A) = 4.26571 = 4.3

Answer:

Step-by-step explanation:

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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The linear function that represents the situation is y = 1/13x + 3229

Linear function:

The general form of the linear function can be written as,

y = mx + c

where

m refers the slope of the function

c refers the y intercept of the function

Given,

Here we have the table of values.

Now, we have to find the linear equation for this table and we have also need to find the value of C(0).

In order to calculate the linear function of the table, we need the slope and intercept of the given table,

In order to find that, we need a point values.

The point values are obtained from the given table as,

=> (8, 249) and (13, 314)

Now, the slope is calculated as,

=> m = (13 - 8) / (314 - 249)

=> m = 5 / 65

=> m = 1/13

Now, the intercept is calculated as,

=> 249 = 1/13 (8) + c

=> 3337 = 8 + c

=> c = 3229.

Therefore, the linear function of the table is y = 1/13x + 3229.

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