Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of

log4x 2^a = 3

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer

Answer:

x = 10°

Step-by-step explanation:

Because <A and <B are vertical angles, they are equal.

4x+8 = 2x+28

Subtract 2x and 8 on both sides,

4x - 2x = 28 - 8

2x = 20

Divide by 2,

x = 10°

Answer:

Hope this helps

Step-by-step explanation:

As vertical angles are always equal,

Angle A = angle B

That is,

4x + 8 = 2x + 28

4x - 2x = 28 - 8

2x = 20

X = 20/2

X = 10

Answer:

the answer is D

Step-by-step explanation:

Answer:

-4.7854909e+52

Step-by-step explanation:

how do i know

cuz i used a calculator

what evevn is your equation

Answer:

No

Step-by-step explanation:

y = 3x + 4      If x=2   And    y=10

10 = 3*2 + 4

10 = 10           that’s a solution for this equation

y = x + 7      if x=2    and    y=10

10 = 2 + 7

10 (is not) = 9       That’s not a solution for this equation.

Answer:

right d

Step-by-step explanation:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Step-by-step explanation:

Equation for circle centered at origin:

x² + y² = r².

Therefore r² = (-4)² + (-2)² = 20, r = √20.

Hence d = 2r = 2√20 = 8.94 (2d.p.)

Answer:

six hundred ninety-four thousandths or zero point six hundred ninety-four

Step-by-step explanation:

It is really up to preference in which way you pronounce/write it. But, when writing decimals, it is common to leave it in the form it was shown, for say 0.349, would be written as 0.349 in a sentence/word problem.

Răspuns:

150 Lei

Explicație pas cu pas:

Fie suma inițială = x

Cheltuieli în prima zi = 0,4x

Cheltuieli pentru a doua zi = 1/3 (x - 0,4x)

Suma rămasă = 60

x = 0,4x + 1/3 (0,6x) + 60

x = 0,4x + 0,2x + 60

x = 0,6x + 60

x - 0,6x = 60

0,4x = 60

x = 60 / 0,4

x = 150 Lei

Answer:

I do believe it is C

Step-by-step explanation:

since 6,5 + 2.4 = 8, 9

Answer: A. True.

Step-by-step explanation:

A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer: No; 7.2 + 7.7 is less than 15.

Step-by-step explanation:

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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Bro, It says he had some cows and chickens. But he only had the heads and legs. He didn't have any cows or chickens left.

Am I right?

Answer:

A

Step-by-step explanation:

If you follow the equation it comes out as x ≤ 7.

A is the only option that displays x ≤ 7.

2x - 8 ≤ 6 = x ≤ 7

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:

is the number 4

so 13/16 3/16

Step-by-step explanation:

Answer: $1.68

Step-by-step explanation:

8 pennies = .08

3 dimes  .10x3 = .3

6 nickels = .05x6 =.3

4 quarters = .25x4 =1

1+.3+.3+.08 =1.68 = $1.68

More scores were in the interval 75-79 than any other interval

a. Class Interval Frequency

70-74    8

75-79    16

80-84    12

85-89     4

b. The % more than 84 = 4/40 x 100

=10%/

c. The % less than 75 = 8/40 x 100

= 20%

d. More scores were in the interval 75-79 than any other interval

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Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

Answer:

$304

Step-by-step explanation:

4 Windows (each window has 1 blind and 2 panels of curtains)

1 blind = $20 * 4 = $80

1  panels curtains = $28 * 2 = $56 * 4 = $224

$80 + $224 = $304