Evaluate.

42 + (
1
5
)2

A) 6
2
5
B) 8
2
25
C) 16
1
25
D) 16
2
25

Answer:

the answers D all of them

Step-by-step explanation:

When a plane intersects a cube there is a variety of shapes of the resulting cross section.

a single point (a vertex of the cube)

a line segment (an edge of the cube)

a triangle (if three adjacent faces of the cube are intersected)

a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)

a trapezium (if two pairs of

a pentagon (if the plane meets all but one face of the cube)

a hexagon (if the plane meets all faces of the cube)

a pentagon (if the plane meets all but one face of the cube)

a hexagon (if the plane meets all faces of the cube)

The last five of these (the non-degenerate cases)

In a way we can get all the given shapes as a cross-section of a cube, the correct option is D

A cross-section is the intersection of a plane in an object giving some specific shapes.

Given are the names of shapes, we need to identify we can be the possible shape for the cross-sections of a cube.

Since, when a plane intersects a cube there is are so many shapes getting as cross-section.

Therefore,

A triangle = three adjacent faces of the cube are intersected.

A parallelogram  = two pairs of opposite faces are intersected (rhombus or rectangle)

A pentagon = the plane meets all but one face of the cube

A hexagon = the plane meets all faces of the cube

Hence, in a way we can get all the given shapes as a cross-section of a cube.

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Answer:

(0,3) and (4,11)

Step-by-step explanation:

Answer:

(0,3) AND (4, 11)

Step-by-step explanation:

y = 2(x^2) - 6x + 3

y = 2x + 3

Substitute

2x + 3 = 2(x^2) - 6x + 3

0 = 2(x^2) - 8x -->

0 = 2x(x - 4)-->

x = 0; 4 -->

y = 2(0) + 3 -->

y = 3

AND

y = 2(4) +3 -->

y = 11

(0,3) AND (4, 11)

Answer:

The answer is b 1/5

Step-by-step explanation:

There are 5 sections in the spinner and 1 of the 5 is a three so it would be 1/5.

Answer:

120 minutes

Step-by-step explanation:

15 x 8 = 120

40 x 3 = 120

The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.

Bus route A = 15 minutes

Bus route B = 40 minutes

Multiples of :

The least multiple common to both 15 and 40 is 120.

Therefore, 120 minutes will pass before both buses arrive at the same time.

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Answer:

20%

Step-by-step explanation:

100-80=20

Answer:

20% chance a player may not win

Step-by-step explanation:

100- 80 = 20

Answer:

26

Step-by-step explanation:

The hypotenuse is always the longest side of your right triangle and so the answer would be 26 since it is the largest number.

the answer should be 320.4

Answer:

320.4

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

To find this probability, we need to know the distance from point H to P and the distance from point L to K, and then the probability of a random point in HP being inside LK will be the division of the distance from L to K by the distance from H to P:

H to P: distance = 15 - 5 = 10

L to K: distance = 10 - 7 = 3

Probability: LK/HP = 3/10 = 0.3

Answer:

x2-14x+58=0

Two solutions were found :

x =(14-√-36)/2=7-3i= 7.0000-3.0000i

x =(14+√-36)/2=7+3i= 7.0000+3.0000i

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-14x+58

The first term is,  x2  its coefficient is  1 .

The middle term is,  -14x  its coefficient is  -14 .

The last term, "the constant", is  +58

Step-1 : Multiply the coefficient of the first term by the constant   1 • 58 = 58

Step-2 : Find two factors of  58  whose sum equals the coefficient of the middle term, which is   -14 .

     -58    +    -1    =    -59

     -29    +    -2    =    -31

     -2    +    -29    =    -31

     -1    +    -58    =    -59

     1    +    58    =    59

     2    +    29    =    31

     29    +    2    =    31

     58    +    1    =    59

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 14x + 58  = 0

Step  2  :

Parabola, Finding the Vertex :

2.1      Find the Vertex of   y = x2-14x+58

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   7.0000  

Plugging into the parabola formula   7.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * 7.00 * 7.00 - 14.0 * 7.00 + 58.0

or   y = 9.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-14x+58

Axis of Symmetry (dashed)  {x}={ 7.00}

Vertex at  {x,y} = { 7.00, 9.00}

Function has no real roots

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-14x+58 = 0 by Completing The Square .

Subtract  58  from both side of the equation :

  x2-14x = -58

Now the clever bit: Take the coefficient of  x , which is  14 , divide by two, giving  7 , and finally square it giving  49

Add  49  to both sides of the equation :

 On the right hand side we have :

  -58  +  49    or,  (-58/1)+(49/1)

 The common denominator of the two fractions is  1   Adding  (-58/1)+(49/1)  gives  -9/1

 So adding to both sides we finally get :

  x2-14x+49 = -9

Adding  49  has completed the left hand side into a perfect square :

  x2-14x+49  =

  (x-7) • (x-7)  =

 (x-7)2

Things which are equal to the same thing are also equal to one another. Since

  x2-14x+49 = -9 and

  x2-14x+49 = (x-7)2

then, according to the law of transitivity,

  (x-7)2 = -9

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-7)2   is

  (x-7)2/2 =

 (x-7)1 =

  x-7

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-7 = √ -9

Add  7  to both sides to obtain:

  x = 7 + √ -9

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 - 14x + 58 = 0

  has two solutions:

 x = 7 + √ 9 •  i

  or

 x = 7 - √ 9 •  i

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-14x+58 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -14

                     C   =   58

Accordingly,  B2  -  4AC   =

                    196 - 232 =

                    -36

Applying the quadratic formula :

              14 ± √ -36

  x  =    ——————

                     2

In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written  (a+b*i)

Both   i   and   -i   are the square roots of minus 1

Accordingly,√ -36  =

                   √ 36 • (-1)  =

                   √ 36  • √ -1   =

                   ±  √ 36  • i

Can  √ 36 be simplified ?

Yes!   The prime factorization of  36   is

  2•2•3•3

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 36   =  √ 2•2•3•3   =2•3•√ 1   =

               ±  6 • √ 1   =

               ±  6

So now we are looking at:

          x  =  ( 14 ± 6i ) / 2

Two imaginary solutions :

x =(14+√-36)/2=7+3i= 7.0000+3.0000i

 or:

x =(14-√-36)/2=7-3i= 7.0000-3.0000i

Two solutions were found :

x =(14-√-36)/2=7-3i= 7.0000-3.0000i

x =(14+√-36)/2=7+3i= 7.0000+3.0000i

R

Step-by-step explanation:

The roots of the given quadratic equation are (7+i) and (7-i).

The given quadratic equation is:

[tex]x^{2} -14x=-50[/tex]

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.

We can write the above equation as:

[tex]x^{2} -14x+50=0[/tex]

Using the Shreedharacharya formula to solve a quadratic equation

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-14)+-\sqrt{(-14)^2-4*1*50} }{2*1}[/tex]

[tex]x=7+i\\x=7-i[/tex]

Where i=√-1

Hence, the roots of the given quadratic equation are (7+i) and (7-i).

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Answer:

BACD the third one I hope that this is right

The correct quadrilateral which is a trapezoid is shown in image 3.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are three figures are shown.

Now, We know that;

A trapezoid, which is also known as a trapezium, is a closed shape which having 4 straight sides, with one pair of parallel sides.

Hence, By given figures.,

The correct quadrilateral which is a trapezoid is shown in image 3.

Because it has one pair of parallel sides.

Thus, The correct quadrilateral which is a trapezoid is shown in image 3.

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Answer:

A 30% chance

Answer:

4 sandwich + 5 soup +3 drink

total = 20

choices of ordering a sandy , soup and drink =

3/12= 1/4

Final answer:

To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.

Explanation:

The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.

Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3

The calculation gives us 4 × 5 × 3 = 60 different combinations.

Answer:

C= 72

Step-by-step explanation:

Because if AB=3 and AC= 9 and you solve and find all the side lengths you will get 71.565 for m<B and you round to the nearest degree its 72. Hopefully this helps you and you get it right. But I'm 100% it is 72.

Answer:

∠ B ≈ 72°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{9}{3}[/tex] = 3 , thus

B = [tex]tan^{-1}[/tex](3) ≈ 72° ( to the nearest degree )

Answer:

Point R

Step-by-step explanation:

Go back 12 points

Answer:

Point R

Step-by-step explanation:

Count back in points and you will figure it out

Answer:

x = 66/92

Step-by-step explanation:

divide both sides by 92

Answer:

x=33/46

Step-by-step explanation:

92x/92=66/92

x=66/92

x=33/46

Answer:

Is it 40?

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

There is a total of 100%.

If you subtract the amount that are in high school (60%) from 100%, then you would get 40%. Hope this helps! :)

D is incorrect because the higher the negative number is the less it becomes. So, the answer is -3 is less than -5.

4,569,760,000 different passwords can be created.

A password is a string of characters that allows access to a computer system or service.

There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976

10x10x10x10= 10,000

Final Answer: 4,569,760,000

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Answer:

D

Step-by-step explanation:

Given that the dimensions of  a solid are in proportion a : b, then

then the ratio of the area is a² : b²

Thus

scale factor = [tex]\frac{5}{2}[/tex] , then

area factor = [tex]\frac{5^2}{2^2}[/tex] = [tex]\frac{25}{4}[/tex] → D

Answer:

D

Step-by-step explanation:

Answer:

c. (25,0)

Step-by-step explanation:

Hope this helps!

The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).

Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.

Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.

To maximize the profit, we need to use the objective function, which is given by:

P = 14s + 6t

Where s is the number of shorts sold and t is the number of T-shirts sold.

The constraints are:

s + t ≤ 30 (constraint on the total number of items sold)

2s + 5t ≤ 75 (constraint on the amount of shelf space)

The feasible region is the shaded area above.

We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:

At (0, 20), P = 6(20) = 120

At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165

At (15, 15), P = 14(15) = 210

At (20, 5), P = 14(20) + 6(5) = 290

At (25, 0), P = 14(25) = 350

Therefore, the answer is (C) (25, 0).

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Answer:

77x^5+66

Step-by-step explanation:

The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term

Answer:

7x5 + 2x2 + 6

Step-by-step explanation:

like it up!

Answer:

[tex]12x-1[/tex]

Step-by-step explanation:

Considering the expression:

[tex]2(3x-5) +3(2x+3)[/tex]

[tex]6x-10+6x+9\\12x-1[/tex]

Answer:

The answer is 80, you multiply the numbers together to get volume.

the volume of a pyramid is 80 cubic inches .

Answer:

(0,5)

Step-by-step explanation:

I think...

I'm 99.9% sure that I'm wrong...

it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE