Complete the magic square using nos 1 to 15 without repeating the nos so that the sum of each row, diagonal, and column is 30.​

Answer:

The third number can be any number less than 30.

Step-by-step explanation:

If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.

Answer:

Cost of meat = $15

Step-by-step explanation:

Given:

Pepperoni costs = $3.50

Parma ham costs = $6.50

Total spend = $25

Find:

Cost of meat

Computation:

Cost of meat = Total spend - Pepperoni costs - Parma ham costs

Cost of meat = $25 - $6.50 - $3.50

Cost of meat = $15

Answer:

3 feet

Step-by-step explanation:

Initial depth = 16 feet

Then:

Answer:

its a formulae

we know (sinx+cosx)^3= sin^3x +cos^3x+3sinxcosx(sinx+cosx)

(a+b)^3= a^3 +b^3+3ab(a+b)

Step-by-step explanation:

(sin^2x)^3 +cos^2x)^3+3sin^2x cos^2x(sin^2x+cos^2x)

according to formulae

(sin^2x+cos^2x)^3  {as we know sin^2x+cos^2x =1}

so the (1)^3= 1

{proved}

thank u

Answer:  see proof below

Step-by-step explanation:

Use the formula for factoring a cubic:   (a³ + b³) = (a + b)(a² - ab + b²)

and the formula for a perfect square:    a² + 2ab + b² = (a + b)²

and the Pythagorean Identity:               cos²x + sin²x = 1

Proof LHS →  RHS

Given:                     sin⁶x + cos⁶x       + 3sin²x cos²x

Regroup:            (sin²x)³ + (cos²x)³     + 3sin²x cos²x

Factor Cubic:     (sin²x + cos²x)(sin⁴x - sin²x cos²x +  cos⁴x)   + 3sin²x cos²x

Pythagorean Identity:             1(sin⁴x - sin²x cos²x +  cos⁴x)   + 3sin²x cos²x

Add like terms:                         sin⁴x + 2sin²x cos²x +  cos⁴x

Regroup:                               (sin²x)² + 2sin²x cos²x +  (cos²x)²

Factor Perfect Square:                      (sin²x + cos²x)²

Pythagorean Identity:                                 (1)²

Simplify:                                                        1

LHS = RHS:   1 = 1    [tex]\checkmark\\[/tex]

Answer:

The answer is below

Step-by-step explanation:

Chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Let x represent the pounds of chicken and y represent the pound of beef. If he spent a total of $12.95, therefore:

1.85x + 3.7y = 12.95           (1)

He bought twice as much beef as chicken, therefore:

y = 2x

y - 2x = 0                             (2)

Solving eqn 1 and eqn 2 simultaneously. Multiply equation (2) by 3.7 and subtract from equation (1)

9.25x = 12.95

x = 1.4 pounds

Also substitute x = 1.4 in equation 2:

y - 2(1.4) = 0

y = 2(1.4)

y = 2.8 pounds

The graph was plotted using geogra, the y coordinate of the point of intersection of the two lines, is the approximate pounds of beef.

Answer: Part A. First line= (0,0), (1,2). Second line= (0,3.5), (1,3)

Part B. 2.75 pounds

Step-by-step explanation: It's correct.

Answer & Step-by-step explanation:

PEMDAS:

Parentheses

Exponents

Multiplication and Division left to right

Addition and Subtraction left to right

We have two forms of grouping in the expression. Do the inner-most one first, still following PEMDAS within the grouping symbol:

Simplify division:

[tex]6/4=1.5\\1.5-1=0.5\\[/tex]

Re-insert:

[tex]40/(19-1+0.5)[/tex]

Simplify subtraction and addition within parentheses:

[tex]19-1+0.5\\18+0.5\\18.5[/tex]

Re-insert:

[tex]40/18.5[/tex]

Simplify division:

[tex]40/18.5=2.162162162162162162.....[/tex]

:Done

Answer:

tan ∠ABC=[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

11^(x-y)

Step-by-step explanation:

If there is a same number which is divided by the same number, but with different powers, then we subtracted down value from the upper one.

Example: 17^7/ 17^5

=> 17^(7-5)

=> 17^2

So, the answer to this question is 11^(x-y).

Answer:

Dollars per hour is $10 and hours per dollar is 6 minutes 15 seconds.

Step-by-step explanation:

Dollars per hour represents how much she earns for each hour of work. Hours per dollar represents how much she works to earn $1.

It is stated that Mariah earns $10 for each hour of work at the movie theater.

This is the "dollars per hour" rate since the base is 1 hour.

This means that she earns 10/60 = $0.16 for every minute she works at the theater. If we divide 1 by this number we find 1/0.16 = 6.25.

This is the minutes she has to work to earn $1. So her hours per dollar rate is 6.25 minutes which is 6 minutes 15 seconds.

I hope this answer helps.

Answer:

Step-by-step explanation:

length of the rectangle = 2.5 m

breadth of the rectangle = 1.6 m

Perimeter of rectangle = 2( l + b )

= 2 × 4.1

= 8.2 m

Hope this helps

plz mark as brainliest!!!!!

Answer:

4 protons

Step-by-step explanation:

because protons are positive and the ion has a negative charge

Answer:18

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

that is the answer

Step-by-step explanation:

the formulae for finding centroid is (x1+x2+x3/3 , y1+y2+y3/3)

so the coordinates of centroid is (1+3+5/3 , -2+5-6/3)

(3,-1) and other point is the origin (0,0)

we know ,the equation is

x-x1/x1-x2= y-y1/y1-y2

x-3/3-0= y-(-1)/-1-0

x-3/3=y+1/-1

-x+3=3y+3

or -x+3y=0

or x-3y=0(multiplying -1 in both sides)

so the eq is x-3y=0 ans

thank u

Answer:

At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s

Step-by-step explanation:

The given information on the height can be written as follows;

s(t) = -2.72·t² + 26.9·t + 6

Where;

s = The height (displacement) of the golf ball

t = The time taken during the motion of the golf ball

The velocity is found by finding the derivative of the displacement s as follows;

v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9

When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s

Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.

Answer:

c)$73

Step-by-step explanation:

You just have to substitute 4 in for h because h stands for how many hows. They're renting it for 4 hours.

Answer:

c) 73

Step-by-step explanation:

c=12(4 hours) + 25

c=48 + 25

c=73

Answer:

Real numbers include both Rational and Irrational number sets.

Rational and Irrational numbers sets are independent from each other.

See the diagram attached.

Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.

Step-by-step explanation:

given data:

20,

40,

60,

80,

100,

120,

140.

solution.

first woman 20 apples

= 2 + 3 * 6¢.

= 20¢.

second woman 40 apples

= 5 + 5 * 3¢.

= 20¢.

third woman 60 apples

= 8 + 4 * 3¢.

= 20¢.

fourth woman 80 apples

= 11 + 3 * 3¢.

= 20¢.

fifth woman 100 apples

= 14 + 2 * 3¢.

= 20¢.

sixth woman 120 apples

= 17 + 1 * 3¢.

= 20¢.

seventh woman 140 apples

= 20 * 1¢.

= 20¢.

Answer:

Step-by-step explanation:

a) (-2x³ + x - 5)(x³ - 3x - 4)

= (-2x³) (x³ - 3x - 4) + x(x³ - 3x - 4)  - 5(x³ - 3x - 4)

= -2x³*x³  - (-2x³)*3x - (-2x³)*4 + x*x³ - x*3x - x*4 + x³ * (-5) - 3x*(-5) -4*(-5)

=  -2x⁶ + 6x⁴ + 8x³ + x⁴ - 3x² -4x - 5x³ + 15x + 20  {add like terms}

= -2x⁶ + 6x⁴ + x⁴ + 8x³ - 5x³ - 3x² - 4x + 15x + 20

= -2x⁶ + 7x⁴ + 3x³ - 3x² + 11x + 20

Hint: When multiplying two terms, multiply the coefficient, and add the powers of the variables {[tex]a^{m}*a^{n}=a^{m+n}[/tex] }

-2x³*x³ = (-2*1) * [tex]x^{3+3}[/tex] = -2x⁶

b) Yes , same because of commutative property of multiplication

Answer:

[tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex]

Step-by-step explanation:

a) We can expand [tex](-2x^3 + x - 5) (x^3 - 3x - 4)[/tex], getting [tex]-2x^6+6x^4+8x^3+x^4-3x^2-4x-5x^3+15x+20[/tex]. We can then combine like terms, getting [tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex].

b) Yes it is the same, as it doesn't matter the order if you multiply two polynomials. It will always be the same.

Formula :-

[tex]\sf \: S.I \: = \frac{P.R.T}{100} \\ [/tex]

Given that :-

The interest received on Rs 5000 = interest received on Rs 6000 , when rate of interest on Rs 6000 is 8 % .

To Find :-

The rate of interest on rupees 5000 .

Solution :-

→ S.I = P.R.T/100

→ 5000.R. 1 / 100 = 6000 × 8 × 1 / 100

→ 50 R = 60×8

→ 50 R = 480

→ R = 480/ 50

→ Rate of interest = 9.6 %

So rate on Rs 5000 is 9.6 %

Answer:

5 is the width i think

Step-by-step explanation:

Answer:

-1/3 or 1/2.

Step-by-step explanation:

Second term = ar, the third = ar^2 and the fourth = ar^3.

So we have the equation:

ar + ar^2 = 6ar^3

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

(3r + 1 )(2r -1) = 0

r = -1/3, 1/2.

Answer:

See below.

Step-by-step explanation:

Let x represent the number of days.

Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:

[tex]y=20x+15[/tex]

Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.

For Bark Time Hotel, similarly:

[tex]y=30x+5[/tex]

Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.

Thus, the system of equations is:

[tex]y=20x+15\\y=30x+5[/tex]

The system that represents this real-world situation is:

Cost = 20d + 15

Cost = 30d + 5

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The system that represents this real-world situation is:

Let d be the number of days the pet will be boarded.

For Day and Night Kennel:

Cost = 20d + 15

For Bark Time Hotel:

Cost = 30d + 5

In this system, d represents the number of days the pet will be boarded, the constant 20 represents the daily boarding fee charged by Day and Night Kennel, the constant 30 represents the daily boarding fee charged by Bark Time Hotel, the constant 15 represents the one-time food fee charged by Day and Night Kennel, and the constant 5 represents the one-time food fee charged by Bark Time Hotel.

Thus,

Cost = 20d + 15

Cost = 30d + 5

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Answer:

The answer is 3,150

Step-by-step explanation:

You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.

s=450t is the  equation that represents this direct variation.

The length along a line or line segment between two points on the line or line segment.

Given that the distance a jet travels (d) varies directly with the number of hours (t) flown.

A  jet travels 1,350 miles in three hours.

Distance is one thousand three hundred fifty and the time is three hours.

The speed is 1350/3 which is equal to four hundred fifty.

We need to write the equation that represents this direct variation.

s=450t

Hence, s=450t is the  equation that represents this direct variation.

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Answer:

h²=b²+p²

x²= 9²+23²

x²= 81+529

x²=610

X= √610

Answer:

it is discontinuety bcz at 1,4 and 6 it is discontinued

Answer:

There are 7 bales of 100 pounds and 8 bales of 150 pounds hale

Step-by-step explanation:

Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y

If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1

Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;

150y + 100x = 1900

Dividing through by 100;

1.5y+x = 19 ..... 2

Solving equation 1 and 2 simultaneously;

x+y = 15 ... 1

1.5y+x = 19 .... 2

Subtracting 1 from 2

y-1.5y = 15-19

-0.5y = -4

Divide both sides by 0.5

-0.5y/-0.5 = -4/-0.5

y = 8

Substituting y = 8 into equation 1, we will have;

x+y = 15

x+8 = 15

x = 15-8

x = 7

Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale

Answer:

1 to 2.

We can see that the figure starts at the bottom left, and then moves to the bottom right.

So the vertical position remains constant, and the horizontal position changed, this can be a reflection around the vertical axis.

2 to 3.

Now the figure goes from the bottom right and moves to the top right, not only that, in (2) the figure is facing up, and in (3) the figure is facing down, then we have a reflection around the horizontal axis.

3 to 4.

Similar to the first case, this is a reflection over the vertical axis.

4 to 5.

Similar to the second case, this is a reflection over the horizontal axis.

(Something to notice, the movements can be called "Rotations over the ___ axis". I used reflection because it is specific for this type of motion, while rotation can be used to describe really complex types of motion)

Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

Vertical asymptotes of the function are x = -2, 5

Horizontal asymptote is y = 0

Now we take each option,

Option (A),

F(x) = [tex]\frac{x(x-5)}{(x+2)}[/tex]

No horizontal asymptote

Vertical asymptote : x = -2

Option (B),

F(x) = [tex]\frac{x}{(x+2)(x-5)}[/tex]

Horizontal asymptotes : y = 0

Vertical asymptotes : x = 5, -2  

Option (C),

F(x) = [tex]\frac{(x+2)(x-5)}{x}[/tex]

Vertical asymptote : x = 0

No horizontal asymptote.

Therefore, Function given in Option (B) matches the asymptotes given in the graph.

Option (B) represents the graph.

Function given in Option (B) matches the asymptotes given in the graph.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, From the graph attached,

Vertical asymptotes of the function are x = -2, 5

And, Horizontal asymptote is y = 0

Hence, we take each option and check as,

For Option (A),

F(x) = x (x - 5) / (x + 2)

Hence, No horizontal asymptote

And, Vertical asymptote : x = -2

Option (B),

F(x) = x / (x + 2) (x - 5)

Hence, Horizontal asymptotes : y = 0

And, Vertical asymptotes : x = 5, -2  

Option (C),

F(x) = (x + 2) (x - 5) / x

Hence, Vertical asymptote : x = 0

And, No horizontal asymptote.

Therefore, Function given in Option (B) matches the asymptotes given in the graph.

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Answer:

98%

Step-by-step explanation:

83%+91%+88%+?=90×4

262+?=360

?=360-262

?=98%

Answer:

98% i believe

Step-by-step explanation: