can someone please help me on this

Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

12 times 27 = 324

81:324

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as feasible solutions. These feasible solutions represent all the possible combinations of values for the decision variables that satisfy the constraints of the problem.

The main objective of linear programming is to find the optimal feasible solution that maximizes or minimizes a given objective function. The objective function represents the goal that needs to be achieved, such as maximizing profit, minimizing cost, or maximizing efficiency.

To find the optimal feasible solution, a linear programming algorithm is used to analyze all the possible combinations of decision variables and evaluate their objective function values. The algorithm starts by identifying the feasible region, which is the area that satisfies all the constraints.

Then, the algorithm evaluates the objective function at each vertex or corner of the feasible region to find the optimal feasible solution. The optimal feasible solution is the one that provides the best objective function value among all the feasible solutions.

Therefore, In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as: linear programming

In summary, linear programming involves finding feasible solutions that satisfy all the constraints of the problem, and then selecting the optimal feasible solution that provides the best objective function value.

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The consumer will pay $31.91 as an interest.

Initial balance = $2,530.16

Daily interest rate = 0.042%

Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments

So, balance at the end of the first day = 2530*(1.00042)¹

balance at the end of the second day =  2530*(1.00042)²

Similarly, balance at the end of the 30th day =  2530*(1.00042)³⁰

Balance at the end of the 30th day = $2562.07291

So, interest levied =  $2562.07291 -  $2,530.16

Interest levied = $31.91

Therefore, the consumer will pay $31.91 as an interest.

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Answer:

B. 3x + 4

Step-by-step explanation:

Perimeter garden = 8x + 8

Perimeter = 2 * length + 2 * width

Width = x

8x + 8 = 2 * length + 2x

8x - 2x + 8 = 2* length

6x + 8 = 2 * length

3x + 4 = length

The dilation is a transformation in which a figure is enlarged or decreased. The dilation scale factor is the ratio of the distances between two pairs of corresponding points in a dilation. The distances in a dilation are measured from the center of dilation.

The relationships between point D (6, 9) and point A (8, 12) in terms of dilations are given below:Step 1: To determine the center of dilation and the scale factor, first find the distance between the two points. Let us use the distance formula to determine the distance between the two points. Distance formula Since the distance between the two points is not 1, the center of dilation is not located on the segment between the two points. As a result, we'll use the midpoint of the segment that connects the two points as the center of dilation. Center of dilation.

To find the scale factor, we must find the ratio of the distance between each point and the center of dilation.Hence, the relationship between the point D(6, 9) and the point A(8, 12) in terms of dilations is that the point D(6, 9) can be enlarged or decreased to reach the point A(8, 12) using a center of dilation of E(7, 21/2) and a scale factor of $\frac{{2\sqrt {793} }}{{61}}$.

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Responder:

2 1/4 m; 225 cm

Explicación paso a paso:

Dado:

Cortar 9 metros en 4 partes de la misma longitud;

Por lo tanto,

9 metros / 4

= 2,25 metros

Por lo tanto, cada varilla será 2.25 = 2 1/4 m

En cm;

1 m = 100 cm

2,25 metros = x

x = 100 * 2,25

x = 225 cm

The resulting value after the subtraction of 15/57 - 6/45 is 37/285

Subtraction:

Subtraction is an arithmetic operation that represents the operation of removing the particular objects from a collection.

It is signified by the minus sign, −.

Given,

Here we need to find the value of the subtraction of 15/57 - 6/45.

The fractions have unlike denominators.

First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(57, 45) = 855

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.

This is basically multiplying each fraction by 1.

\(\frac{15}{57}\times\frac{15}{15}-\frac{6}{45}\times\frac{19}{19}\)

Complete the multiplication and the equation becomes

=> 225/855 - 114/855

Complete the multiplication and the equation becomes

=> 111/855

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 111 and 855 using

GCF(111,855) = 3

\(= > \frac{111 \div 3}{855 \div 3} = \frac{37}{285}\)

Therefore, resulting value is 37/285.

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To evaluate the integral Jx e^5x2 dx by making the substitution u = 5x^2, we need to first find the value of dx in terms of du. Taking the derivative of u with respect to x, we get du/dx = 10x, which can be rearranged to dx = du/10x.
Substituting this into the integral, we get:
Jx e^5x2 dx = J(u/10)e^u (du/10x)
Simplifying this expression, we get:
Jx e^5x2 dx = (1/10)Jue^u du
To evaluate this new integral, we can use integration by parts, with u = u and dv/dx = e^u. This gives us:
Jx e^5x2 dx = (1/10)(ue^u - J e^u du) + C
Resubstituting for u, we get:
Jx e^5x2 dx = (1/10)(5x^2e^5x^2 - Jx e^5x^2 dx) + C
Simplifying and rearranging, we get:
Jx e^5x2 dx = (1/20)x e^5x^2 + C

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Answer:

Area: 38.48u²   Perimeter: 24.995u

Step-by-step explanation:

This is a quarter of a circle. You can use the formula to find the area of a full circle and then divide it by 4 to find the area of a quarter circle.

The radius is 7. So..

A = πr²/4 = π × 7²/4

= π × 49/4

= 12.25π

≈ 38.48u²

You have to find the circumference of the full circle in order to find the perimeter of this shape. The circumference is πd.

To find the diameter of a circle you multiply the radius by 2.

7 × 2 = 14

P = π14

≈ 43.98

Then, you divide that number by 4 because the arc (the curved part) is a quarter of the circumference.

43. 98 ÷ 4 = 10.995 - This is the length of the arc.

Now you add all the measurements:

7 + 7 + 10.995 = 24.995u

I hope this helps! :)

Answer:

one minute I'm doing the work right now

Answer: 14 cans

Step-by-step explanation: Multiply; then divide

The slope of the line represent Parking cost $30 per day. The correct answer is C.

The slope of a line represents the rate of change between two variables. In this case, the line represents the relationship between Hector's parking fees and the number of days he parked his SUV.

The unit of the slope of the ine represents

Cost/ number of days = 30 $/day

The fact that the slope is negative (-$30) means that for each additional day Hector parked his SUV, his parking fees decreased by $30. This indicates that the parking fee is a function of the number of days parked, and it costs $30 per day. The correct option is C.

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--The given question is incomplete, the complete question is given

" Hector parked his SUV in long-term parking while he traveled to China. What does the slope of the line represent?

A Hector's parking fees decreased by $30 each week.

B Parking cost a flat fee of $30.

C Parking cost $30 per day.

D Hector got a $30 discount to park his SUV. ​ "--

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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The population of a city after x years is given by the function P(x) = x(x² + 16)^(-1/2) million people. We need to find the average population between year x = 0 and year x = 3.

To find the average population, we need to calculate the definite integral of the population function over the interval [0, 3] and divide it by the length of the interval. The average population is given by:

Average population = (1/(3 - 0)) * ∫[0, 3] x(x² + 16)^(-1/2) dx

To solve this integral, we can use a substitution. Let u = x² + 16, then du = 2xdx. Making the substitution, the integral becomes:

Average population = (1/3) * ∫[16, 25] (u - 16)^(-1/2) du

Now we can integrate the function with respect to u:

Average population = (1/3) * [2(u - 16)^(1/2)] evaluated from 16 to 25

Simplifying the expression, we find:

Average population = (1/3) * [2(25 - 16)^(1/2) - 2(16 - 16)^(1/2)]

Average population = (1/3) * [2(9)^(1/2) - 0]

Average population = (1/3) * 2(3) = 2 million

Therefore, the average population between year x = 0 and year x = 3 is 2 million people.

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Answer:

The interest rate required to  accumulate simple interest of $ 45.00  from a principal of $600.00  over 2 years is 3.75% per year.

Step-by-step explanation:

Given

l = $45

P = $600

t = 2 years

To determine

What is the annual interest rate = r = ?

Using the Simple Interest Formula

I = Prt

r = I/Pt

substituting l = 45, P = 600 and t = 2 years

r = 45 / ( 600 × 2 )

  = 0.0375

converting r decimal to a percentage = 0.0375 * 100 = 3.75% per year

Thus, the interest rate required to  accumulate simple interest of $ 45.00  from a principal of $600.00  over 2 years is 3.75% per year.

Answer:

true

Step-by-step explanation:

Answer:

θ = 56°

Step-by-step explanation:

As OA and OB are both radii, triangle AOB is an isosceles triangle:

⇒ m∠ABO = m∠OAB = 48°

Interior angles of a triangle sum to 180°:

⇒ m∠ABO + m∠OAB + m∠AOB = 180°

⇒ 48° + 48° + m∠AOB = 180°

⇒ m∠AOB = 180° - 48° - 48°

⇒ m∠AOB = 84°

Angles on a straight line sum to 180°:

⇒ m∠AOB + m∠DOB = 180°

⇒ 84° + m∠DOB = 180°

⇒ m∠DOB = 180° - 84°

⇒ m∠DOB = 96°

The tangent of a circle is always perpendicular to the radius.

Therefore, tangent BC is perpendicular to radius OB, and tangent DE is perpendicular to radius OD, so:

OBCD is a quadrilateral.

The interior angles of a quadrilateral sum to 360°:

⇒ m∠OBC + m∠BCD + m∠CDO + m∠DOB = 360°

⇒ 90° + θ + 28° + 90° + 96° = 360°

⇒ θ + 304° = 360°

⇒ θ = 360° - 304°

⇒ θ = 56°

The positive integers c, with c<100, that make the quadratic \(3x^{2} +20x+C\)have rational roots are 12 and 25.

A quadratic has rational roots if and only if its discriminant is a perfect square. The discriminant of \(3x^{2} +20x+C\) is 400−36c. For c<100, the discriminant is a perfect square if and only if \(400=36c-m^{2}\) for some integer m. This equation simplifies to \(36c=400-m^{2}\)

For c<100, the only possible values of c that satisfy this equation are c=12 and c=25.

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The answers are 13) 24°, 14) 25° and 15) 20°

Given that are right triangles we need to find the reference angles,

Using here the concept of trigonometric ratios,

Sin = ratio of perpendicular to hypotenuse.

Cos = ratio of base to hypotenuse.

Tan = ratio of perpendicular to base.

So,

13) Sin? = 24/59

? = Sin⁻¹(24/59)

? = 24°

14) Cos? = 30/33

? = Cos⁻¹(30/33)

? = 25°

15) Tan? = 10/27

? = Tan⁻¹(10/27)

? = 20°

Hence the answers are 13) 24°, 14) 25° and 15) 20°

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The right triangle with sides 29m, 49.5m and 57.4 m has the value of cot  φ as 1.707

A right angle triangle has one of its angles as 90 degrees.

Therefore, it has an opposite, adjacent and hypotenuse side depending on the angle.

oposite side = 29 m

adjacent side = 49.5 m

hypotenuse side = 57.4 m

Therefore,

cot φ = 1 / tan φ

Hence,

tan φ = opposite / adjacent

Therefore,

cot φ = adjacent / opposite

cot φ = 49.5 / 29

cot φ = 1.70689655172

cot  φ =  1.707

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Answer:

D. diagonal = 20.10 cm

Step-by-step explanation:

Find the bottom diagonal using the length and width.

diagonal² = 8² + 12²

diagonal = √64+144

diagonal = √208

diagonal = 4√13

---------------------------------------------------------------------------------------------------------

Find diagonal of the rectangular solid:

diagonal² = (4√13)² + 14²

diagonal² = 208 + 196

diagonal = √404

diagonal = 20.10 cm

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer:

he descends only 57 feet ,as the mine is 10 feet below the surface befor descending

Answer:

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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