14. A plot of land 15m long and 12m wide is used to plant fruits and vegetables. If 80m² of this plot is used to plant vegetables, what area of the plot is planted with fruits. (A) 26 (B) (C) (D) 100 134 260​

Answer:

The length is 6 feet and the width is 4 feet

Step-by-step explanation:

Let x represent the length of the yard

The width can be represented by x - 2, since it is 2 less than the length.

Use the perimeter formula, P = 2l + 2w, where l is the length and w is width

Plug in the expressions and perimeter:

20 = 2x + 2(x - 2)

Solve for x:

20 = 2x + 2x - 4

20 = 4x - 4

24 = 4x

6 = x

So, the length is 6. Plug this into x - 2 to find the width

x - 2

6 - 2

= 4

So, the length is 6 feet and the width is 4 feet

The number of 3-foot pieces of rope that Rami's grandfather could make would be = 23.8 pieces.

Rope is a thick cord that is material up of synthetic or organic materials that are interwoven together which can be used to support a structure.

The amount of money paid by Rami's grandfather for the rope = $67.83

The amount that the rope is sold per foot = $0.95/ft

To calculate the number of ft he bought;

= 67.83/0.95

= 71.4ft of rope

The number of 3-foot piece that he can cut

= 71.4/3

= 23.8 pieces.

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Answer:

4=4

Step-by-step explanation:

To solve the given problem first we need to find the equation for line then we have to find the intersection point on circle.

You will pick up a signal from the transmitter in 29% of the drive.

Given:

The radius is 53 mile.

The origin point of transmitter is .

Calculate the slope of line with point  and .

Substitute the value.

Write the general equation of line.

Now we got the equation of line,

Write the transmitter reach the area enclosed by the next circle.

Substitute the value of .

Thus, You will pick up a signal from the transmitter in 29% of the drive.

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Answer:Matt

Step-by-step explanation:

this is Jamies weight

449.618 Pounds force (lb)

The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

Answer:

Step-by-step explanation:

The surface area of a prism is a sum of areas of all of its faces

2×(¹/₂×16×15) + 2×(17×19) + 16×19 =

= 240 + 646 + 304 = 1190 mm²

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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a) The cost of 5 boxes of size 1 kg would be: £1.40 × 5 = £7

b) It will cost £6.75 to buy 5 kg of rice in the cheapest way possible.

a)  If the buyer wants 5 kg of rice, then the buyer needs to buy five boxes of size 1kg.

Therefore, the cost of 5 boxes:

£1.40 × 5 = £7

b) In order to buy 5 kg of rice in the cheapest way possible, we need to select the boxes that are cheapest in price. The 1.5 kg box of rice has the lowest cost per kilogram.

Therefore, it is best to buy 2 boxes of 1.5 kg rice and 1 box of 2 kg rice. The cost of 2 boxes of 1.5 kg rice and 1 box of 2 kg rice would be:

2 × £2.05 + 1 × £2.65= £4.10 + £2.65= £6.75

Therefore, it will cost £6.75 to buy 5 kg of rice.

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a)An buying five boxes of 1 kg rice each would cost £7.00.

b)The cheapest way to buy 5 kg of rice would cost £8.70.

To buy 5 kg of rice by purchasing five boxes of size 1 kg each, to calculate the total cost.

The cost of 1 kg of rice in a box is £1.40.

So, the cost of 5 kg of rice would be:

5 kg × (£1.40 per kg) = £7.00

To determine the cheapest way to buy 5 kg of rice,  to consider the prices of different box sizes and their quantities.

From the given information:

1 kg of rice costs £1.40

1.5 kg of rice costs £2.05

2 kg of rice costs £2.65

To find the cheapest way to compare the prices per kg of rice for each box size.

Price per kg for each box size:

1 kg box: £1.40 / 1 kg = £1.40/kg

1.5 kg box: £2.05 / 1.5 kg = £1.37/kg

2 kg box: £2.65 / 2 kg = £1.33/kg

The 2 kg box has the lowest price per kg. So, the cheapest way to buy 5 kg of rice would be by purchasing three boxes of 2 kg each and one box of 1 kg:

3 × 2 kg + 1 ×1 kg = 7 kg

3 × £2.65 (for 2 kg) + £1.40 (for 1 kg) = £8.70

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Answer:

1/3

Step-by-step explanation:

There is an equal chance of getting a blue, red or yellow disk.

Answer:

3

Step-by-step explanation:

she put 4 stickers on each car

First you will get 4dz

Lily spent $39.3 at the amusement park.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra we use variables like x, y, and z along with numbers.

Let the money spent by Mandy and Jeremy be 'x' and 'y' respectively.

We have given,

Mandy spent = $16. 25

Jeremy spent = x + $3. 40 = $16. 25 + $3. 40 = $19.65

Lily spent = y × 2 = $19.65 × 2

 Lily spent = $39.3

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Answer:

can you translate in english,would be better...

answer maybe wrong because of the language but stil....

9x(2+6x+1)

=9x(9x)

81x..

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

The expression sec(x) - tan(x) is undefined at x = π/2. Consequently, the limit as x approaches π/2 does not exist.

To find the limit of the expression as x approaches π/2, we can directly substitute the value π/2 into the expression and evaluate it.

Let's evaluate the expression:

lim x→π/2 (sec(x) - tan(x))

Substituting x = π/2:

sec(π/2) - tan(π/2)

The value of sec(π/2) is undefined (since it is equal to 1/cos(π/2), and cos(π/2) is 0). Similarly, tan(π/2) is also undefined (since it is equal to sin(π/2)/cos(π/2), and both sin(π/2) and cos(π/2) are 0).

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Answer:

D .8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = a= ?

We know by using Pythagoras theorem we get

p = √ h² - b²

a = √ 10² - 6²

a = √ 64

a = 8

Hope it will help :)

main answer: the population of the city in 10 years is 358169

supporting answer:

what is compound intrest?

When interest is calculated on the amount from the previous year, the interest is referred to as compounded or compound interest (C.I.)

body of the answer:

initial population of the city is given to be 200000

the population is said to be growing at a rate of 6%

the time after which we have to find out the final population of the city is 10 years

the final popultion after 16 years can be calculated using the following formula

=200000\((1+\frac{6}{100})^{10}\)

=200000\((\frac{106}{100} )^{10}\)

=358169

final answer: hence the population of the city in 10 years is 358169

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The population of the city in 10 years is 358169.

What is compound interest?

When interest is calculated on the amount from the previous year, the interest is referred to as compounded or compound interest (C.I.)

The initial population of the city is given to be 200000

The population is said to be growing at a rate of 6%

The time after which we have to find out the final population of the city is 10 years

The final population after 16 years can be calculated using the following formula

=200000(1 + 6/100)^(10)

=200000(1.06)^(10)

=358169

Hence the population of the city in 10 years is 358169.

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Answer:

x = 5, x = 2

Step-by-step explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2

Answer:

1

Step-by-step explanation:

3/11 *3/11

2nd 3/11 flips over. Then multiply. Then u get 33/33 which equals 1

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

k = 10

Step-by-step explanation:

given that x = 2k - 1 and y = k are solutions of the equation, then they make the equation true.

substitute the values into the equation and solve for k

3(2k - 1) - 5k = 7

6k - 3 - 5k = 7

k - 3 = 7 ( add 3 to both sides )

k = 10

Answer:

y=k=10

Step-by-step explanation:

3x-5y=7

3(2k-1)-5y=7

6k-3-5y=7

6y-5y-3=7

y-3=7

y=7+3

y=10

k=y=10

Answer: 15 used video games

Step-by-step explanation:

298.50 / 19.90 = 15

Answer:

15

Step-by-step explanation:

To solve this let the unknown number of video games be x.

Let us solve.

Number of video game                               cost

    1                                     ⇒                    $ 19.90

    x                                     ⇒                   $ 298.50

Now use cross multiplication and find the value of x.

19.90x = 298.50 × 1

19.90x = 298.50

Divide both sides by 19.90.

x = 15

Therefore, they have sold 15 video games

Hope this helps you :-)

Let me know if you have any other questions :-)

The derivative of \(g(x) = arccos(x^4)\) is \(g'(x) = -4x^3 / \sqrt{(1 - x^2)\).  To find the derivative of the function \(g(x) = arccos(x^4)\), we can use the chain rule.

To break down the process step by step, let's consider a function composed of an inner function and an outer function.

Step 1: Determine the inner function.

Identify the part of the function that is inside another function. For example, if the function is f(g(x)), then g(x) is the inner function.

Step 2: Find the derivative of the inner function.

Take the derivative of the inner function with respect to the variable. If the inner function is denoted as g(x), find d/dx[g(x)].

Step 3: Determine the outer function.

Identify the function that encloses the result of the inner function. In the example above, f(x) is the outer function.

Step 4: Find the derivative of the outer function.

Take the derivative of the outer function with respect to the variable. If the outer function is denoted as f(x), find d/dx[f(x)].

By following these steps, you can find the derivative of a composite function by applying the chain rule.

The derivative of arccos(x) with respect to x is \((-1 / \sqrt{(1 - x^2)} )\)

Step 5: Apply the chain rule.

Using the chain rule, we multiply the derivative of the outer function (Step 4) by the derivative of the inner function (Step 2).

\(g'(x) = (4x^3) * (-1 / \sqrt{(1 - x^2)} )\)

Therefore, the derivative of g(x) = arccos(x^4) is \(g'(x) = -4x^3 / \sqrt{(1 - x^2)\)

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Answer:

w

Step-by-step explanation:

Monday = 4

Tuesday = 1/3 w  (where w is the miles walked on Wednesday)

Wednesday = w

Total = 24

4 + 1/3 w + w = 24

Combine like terms

4 + 4/3 w = 24

Subtract 4 from each side

4/3 w = 20

Multiply each side by 3/4

w = 20 *3/4

w = 15

In the equation when we start, we need to put the variable, not the solution

At the end we have the solution

Answer:

101

10+6+16+6*5

I hope it's correct