Five times a number is equal to the number increased by 12

The algebraic expression that the amount of milk has will be 128 - 16x.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

Total milk = 128 ounces

Rate of drinking milk = 16 ounces/day

x equal the number of days

Then,

Amount remaining = 128 - 16x

Hence, The algebraic expression that the amount of milk has will be 128 - 16x.

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The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.

For a refrigerator,

The coefficient of performance is Qc / W

For a Carnot refrigerator,

The coefficient of performance is Tc / (Th - Tc).

We have,

The rate at which work is done on the refrigerator depends on the specific context or situation.

In general terms,

Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.

This work is usually done by a compressor, which requires energy input to operate.

The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).

The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):

COP = Qc / W

For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:

COP = Tc / (Th - Tc)

Where:

Tc = Temperature of the cold reservoir (inside the refrigerator)

Th = Temperature of the hot reservoir (outside the refrigerator)

Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.

However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.

Thus,

The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.

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Answer:

The sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \)[/tex] is 1455.

Explanation:

To find the sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \),[/tex] we need to substitute the values of [tex]\( n \)[/tex] from 1 to 30 into the formula and then add them together.

The formula for the [tex]\( n \)[/tex]th term of the sequence is [tex]\( A_n = 3n + 2 \).[/tex]

Let's find the first 30 terms of the sequence:

[tex]\[ A_1 = 3(1) + 2 = 5 \][/tex]

[tex]\[ A_2 = 3(2) + 2 = 8 \][/tex]

[tex]\[ A_3 = 3(3) + 2 = 11 \][/tex]

[tex]\[ \vdots \][/tex]

[tex]\[ A_{30} = 3(30) + 2 = 92 \][/tex]

Now, we need to find the sum of these terms:

[tex]\[ \text{Sum} = A_1 + A_2 + A_3 + \ldots + A_{30} \][/tex]

To find the sum, we can use the formula for the sum of an arithmetic series:

[tex]\[ \text{Sum} = \frac{n}{2}(A_1 + A_{30}) \][/tex]

Where:

- [tex]\( n \)[/tex] is the number of terms (30 in this case)

- [tex]\( A_1 \)[/tex] is the first term (5)

- [tex]\( A_{30} \)[/tex] is the 30th term (92)

Now, let's calculate the sum:

[tex]\[ \text{Sum} = \frac{30}{2}(5 + 92) \][/tex]

[tex]\[ \text{Sum} = \frac{30}{2}(97) \][/tex]

[tex]\[ \text{Sum} = 15 \times 97 \][/tex]

[tex]\[ \text{Sum} = 1455 \][/tex]

Answer:

point E and F

Step-by-step explanation:

the only ones that make sense

Answer:

15i² + 49i + 33.

Step-by-step explanation:

Given : (8 + 3i)(3 + 5i).

To find : Multiply .

Solution : We have given (8 + 3i)(3 + 5i).

Distribute 8 over (3 + 5i) and 3i over (3 + 5i).

8 (3 + 5i) + 3i(3 + 5i).

8 *3 + 8 * 5i + 3 *3i + 3i *5i.

24 + 40 i + 9i + 15 i².

Combine like terms

24 + 9i +40i + 15i².

24 + 49i + 15i².

Therefore,15i² + 49i + 33.

Answer:

Real part = -6 and imaginary part = -i

Step-by-step explanation:

A complex number can be written as a + bi,

where both a and b are real numbers,

While, i is an imaginary number ( equals to √-1, because √-1 does not defined as a real number ),

The product of a real number and imaginary number is imaginary number,

∴ bi is called imaginary part of a + bi

Also, a is real number ⇒ a is real part of a + bi

Here, the given complex number,

-6-i

By comparing,

Imaginary part = -i, real part = -6.

We want to see the real and imaginary parts of a given complex number.

The real part is: -6

The imaginary part is: -1

A general complex number is written as:

z = a + b*i

Where a is the real part and b is the imaginary part.

In this case, we have the number:

z = -6 - i

We can rewrite this as:

z = -6 + (-1)*i

Then the real part is the number that is alone, in this case, -6.

The imaginary part is the coefficient that multiplies the "i", which is -1.

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U+xy

Where u=18,x=10,y=8

Sub in all these values

18+10(8)

18+80

98

Hope this helps!

Answer: 0.92v

Step-by-step explanation:

The golf ball is at the point (2.5,2) and the hole is at the point (9.5,2) the golfer wants to bank off the side wall of the green at the point (x,y)