PLS HELP!!!!!!!!!!!!!!!!!!!! Which number is divisible by both 5 and 6? A. 123,465 B. 132,640 C. 164,780 D. 184,290

Answer:

C. 50 - 4x < 36 - 3x

Step-by-step explanation:

Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

To make the graph of the equation, we need to solve for y

Then, the slope of the line is -4/5, this means that the line decreases 4 units when we move 5 units to the right. Also, the y-intercept, that is, the point where the line crosses the y axis, is 6/5

Step-by-step explanation:

first, you multiply 3 by 6 and then add 1 to the answer the quotient will be 19/6

Answer:

Step-by-step explanation:

Let the intensity is y and the distance is x.

Their relationship is:

Let's substitute given values and find the value of k:

Our equation becomes:

Now find the value of y when x = 4:

A box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A box that is 2 by 3 by 5 has a total of 2 x 3 x 5 = 30 cubes. To build a box that will hold twice as many cubes, we need to find the dimensions that will give a total of 60 cubes.

Let's assume the dimensions of the new box are x, y, and z. Then, we have:

xyz = 60

We can express one of the variables in terms of the other two.

z = 60 / (xy)

Substitute this in above equation.

xy60/xy=60

60=60

This is true for any values of x and y, as long as z is calculated as z = 60 / (x y).

There are infinitely many solutions for the dimensions that will give a box with a total of 60 cubes.

set of dimensions that satisfies the condition is x = 2, y = 3, and z = 10.

Hence, a box that contains two times as many cubes as a box that is 2 by 3 by 5 can have dimensions of 2 by 3 by 10.

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The inverse of the the matrix A is  |1/8 0 0 |

                                                          |0 1/8 0 |

                                                          |0 0 1/8|

To find the inverse of the matrix by using Cayley-Hamilton Theorem, we need to find the characteristic polynomial of the matrix first.

The characteristic polynomial of the matrix A is given by:

|λ-1 0 0 |

|0 λ-1 -1 | = (λ - 1)^2 (λ - 2)

|0 -2 λ-4|

Next, we need to evaluate the inverse of A using the Cayley-Hamilton Theorem, which states that a matrix A satisfies its own characteristic polynomial.

That is,

A^3 - 7A^2 + 14A - 8I = 0

Multiplying both sides by A^(-1), we get

A^2 - 7A + 14I - 8A^(-1) = 0

Rearranging, we get

A^(-1) = 1/8(A^2 - 7A + 14I)

Substituting the matrix A, we get

A^(-1) = 1/8

|1 0 0| |1 0 0| |14 -7 0|

|0 1 1| x (-2 1 0) + |-4 2 0|

|0 -2 4| |0 -2 4| | 0 0 8|

= 1/8

|1 0 0|

|0 1 0|

|0 0 1|

Therefore, the inverse of the matrix A is

A^(-1) =

|1/8 0 0 |

|0 1/8 0 |

|0 0 1/8|

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Answer:

25.2

Step-by-step explanation:

168 x .15 = 25.2

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

\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{25.2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: Number of games lost = 23 and Number of games won = 59.

Step-by-step explanation:

Let x = Number of games lost, y = Number of games won.

y = 13 + 2x    (i)

x+ y = 82    (ii)

Substitute value of y from (i) in (ii) , we get

x+ 13 + 2x  = 82

⇒ 3x= 82-13

⇒ 3x = 69

⇒  x= 23      [Divide both sides by 3]

Put value of x in (i), y= 13+2(23) = 13+46=59

Hence, Number of games lost = 23 and Number of games won = 59.

Answer:

s

Step-by-step explanation:

The values of the functions (u + w)(5) and (u - w)(5) are 18 and -32 respectively.

Given that :

1.)

(u + w)(5) can be calculated thus:

(u + w) = -2x + 3 + 5x = 3x + 3

substitute x = 5 into the equation

Hence,

(u + w)(5) = 3(5) + 3 = 15 + 3 = 18

2.)

(u - w)(5) can be calculated thus:

(u - w) = -2x + 3 - 5x = -7x + 3

substitute x = 5 into the equation

Hence,

(u - w)(5) = -7(5) + 3 = -35 + 3 = -32

Therefore, the values of (u + w)(5) and (u - w)(5) are 18 and -32 respectively.

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Answer: 600 students.

Step-by-step explanation:

Ok, we start with 15,000 students.

40% of them had tuition, so the actual number of them that had tuition is:

15,000*0.40 = 6,000.

Now we want to find the number of students that studied math and science.

50% only studied math,

30% only studied science

10% studied other subjects.

So 50% + 30% + 10% did NOT studied both math and science

90% is the percentage that did not study math and mathematics as well as science, then the other 10% did.

Then, out of the 6,000 students that had tuition, 10% studied math and science, the total number is:

6,000*0.10 = 600

Answer:

x=37

Step-by-step explanation:

By Vertical Angles Theorem (VAT), (4x+2) is equal to 150º, so then you just subtract 2 from both sides of the equation 4x+2 = 150, to make it 4x = 148, and then divide both sides by 4 to isolate x, and then you get x=37.

Answer:

Roy has a house in the same quadrant as the Community Center

Step-by-step explanation:

Rectangular Coordinates

The coordinate grid shown in the image below contains the locations of the houses of Dan, Joe, Lee, and Roy.

It has also been marked the four quadrants I, II, III, and IV.

Note that Dan is in quadrant I, Joe is in quadrant II, Lee is in quadrant III, and Roy is in quadrant IV.

The Community Center (CC) is also in quadrant IV, thus the answer is:

Roy has a house in the same quadrant as the Community Center

Answer: the answer is roy so A

Step-by-step explanation: i can not screen shot but i know its a because i did the same test.

Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.

Answer Output using MINITAB software is given below at the end of answer (bar graph)

Frequency:

The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.

The width of class is 10.

Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.

The number of tally marks in each class represents the frequency, f of that class.

Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.

The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

8.3 is equal to eight tenths 3 hundredths

28 is equal to 28 tenths.

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

25

Step-by-step explanation:

Given:

height of the cylinder = 8ft

width of the cylinder - 5ft

density = 0.900 g/cm3

The volume V of a cylinder can be calculated using the formula:

The radius is half the width.

Substituting the given values:

The mass m, volume v and density are related by the formula:

Substituting and solving for the mass:

Answer Summary

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

\(\dfrac{20}{80} = \dfrac{\%} {100}\)

Solving for %:

\(\% = \dfrac{20\cdot 100}{80} = 25\%\)

Total four triangles of B fit into triangle A as length of the equilateral triangle A is twice the length of triangle B.

As given in the question,

Types of triangles : Equilateral triangle

Number of triangle = 2

Triangle A and Triangle B

Let 'x' be the length of the triangle A

And 'y' be the length of the triangle B

As per given condition:

x = 2y

Area of equilateral triangle A = (√3/4)x²

Area of equilateral triangle B = (√3/4)y²

Now x = 2y

⇒Area of equilateral triangle A = (√3/4)(2y)²

⇒Area of equilateral triangle A = (√3/4)4y²

⇒Area of equilateral triangle A = 4 [(√3/4)y²]

⇒Area of equilateral triangle A = 4 ( area of equilateral triangle B)

Therefore, total number of four equilateral triangle of B fit into equilateral triangle A.

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Answer:

the answer is no solution.

Step-by-step explanation:

The maximum value of the objective function is 31.787

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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Answer:

380 degrees

Step-by-step explanation:

you can find one by adding or subtracting a multiple of 360 degrees

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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The values of the function is

a. (f+g)(x) = x² + 5 + 3x

b. (f-g)(x) = x²- 3x +5

c. (f.g)(x) =  3x³ + 15x

d. (f/g)(x) = x²+5/ 3x

a. (f+g)(x) =x² + 5 + 3x

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)= x² + 5  and g(x)= 3x

a)  (f+g)(x)

= f(x)+ g(x)

= x² + 5 + 3x

b)  (f-g)(x)

= f(x)- g(x)

= x² + 5 - 3x

=  x²- 3x +5

c)  (f.g)(x)

= f(x). g(x)

= (x² +5)( 3x)

= 3x³ + 15x

d) (f/g)(x)

= f(x)/ g(x)

= x²+5/ 3x

e) (f+g)(x)

= f(x)+ g(x)

= x² + 5 + 3x

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The shaded area under the curve is equal to 0.6826.

From the information provided, we have the following parameters:

Mean, μ = 501

Standard deviation, σ = 55.00

In this exercise, you are required the shaded area under the curve and this can be represented or modeled by this mathematical expression:

446 ≤ x ≤ 556

The lower limit (boundary) is equal to 446 i.e x₁ = 446.

The upper limit (boundary) is equal to 556 i.e x₂ = 556.

Next, we would determine the z-score for both limits as follows:

Z-score = (x₁ - μ)/σ

Z-score = (446 - 501)/55.00

Z-score = -55/55.00

Z-score = -1.00

For the upper limit, we have:

Z-score = (x₂ - μ)/σ

Z-score = (556 - 501)/55.00

Z-score = 55/55.00

Z-score = 1.00

By using a z-score calculator, the area is given by:

P(446 ≤ x ≤ 556) = P(-1.00 ≤ x ≤ 1.00)

P(-1.00 ≤ x ≤ 1.00) = P(x ≤ 1.00) - P(x ≤ -1.00)

P(-1.00 ≤ x ≤ 1.00) = 0.6826.

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