On a given morning the temperature was 71°F. The temperature dropped 5°F and then rose 8°F. How much does the temperature need to rise or fall to return to the initial temperature of 71°F?A) Fall 8°F
B) Fall 3°F
C) Rise 8°F
D) Rise 5°F

Answers

Answer 1
Answer:

Fall 3°F to return to the initial temperature of 71°F so option (B) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Initial temperature = 71°F

The temperature dropped 5°F = 71 - 5 = 66°F

Then rose of 8°F = 66 + 8 = 74°F

So,

The temperature has risen by 3°F so it needs to fall to match the initial temperature.

Hence "Fall 3°F to return to the initial temperature of 71°F".

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Answer 2
Answer:

Answer: The answer is B)Fall 3 F





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If m = 2 and n = 3, then m 2 + n 2 is equal to _____.

25
625
10
13

Answers

The value of m² + n² will be 13 ( option D)

What is algebraic expression?

An algebraic expression is a mathematical phrase that combines numbers, variables, and operations like addition, subtraction, multiplication, and division.

It represents a value that can vary depending on the values assigned to the variables. For example, "3x + 5" is an algebraic expression where 'x' is a variable.

The algebraic expression is m² + n² and the value of m and n are given as

m = 2 and n = 3

2² + 3²

= 4 + 9

= 13

Therefore, m² + n² will be 13

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Final answer:

When m = 2 and n = 3, m2 + n2 equals 13.

Explanation:

To find the value of m2 + n2 when m = 2 and n = 3, we substitute the values of m and n into the expression.

So, m2 + n2 = 22 + 32 = 4 + 9 = 13.

Therefore, when m = 2 and n = 3, m2 + n2 equals 13.

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Simplify: a^2b^2c^2(2ab+3ac+2bc)

Answers

We can do this like so:

a^{ 2b^{ 2c^(2) } }a^(8bc)

 a^(8bc) * 2ab = 2ba^(16bc)
a^(8bc) * 3ac =  2ca^(16bc)
a^(8bc) * 2bc =  2bca^(8bc)

Prove that tan 225 cot 405 + cot 675 tan 765 = 0

Answers

tan225^ocot405^o+cot675^otan765^o=0\n\nL=tan(180^o+45^o)cot(2*180^o+45^o)+\dots\n\dots+cot(4*180-45^o)tan(4*180^o+45^o)\n\n=tan45^ocot45^o+cot(-45^o)tan45^o=1-cot45^otan45^o\n\n=1-1=0\n\n===================================\n\ntan\alpha* cot\alpha=1\n\ncot(-\alpha)=-cot\alpha

Horizontal asymptote

Answers

Answer:

Horizontal Asymptote:  

y=0

At Southwest HS, the number of student in band is 1 3/4 times the number in orchestra. If 56 students are in orchestra, how many are in band?

Answers

It is important to take note of all the information's that are given in the question. It would be easy to solve the problem based on the information's given in the question.
Number of students in orchestra = 56
The number of students in band is = 1 3/4 times that are in orchestra
Then
Total number of students in band = (7/4) * 56
                                                     = 7 * 14
                                                     = 98
So 98 students are there playing in the band. I hope the answer and the procedure is clear to you. In future you can use this procedure to solve similar kind of problems without requiring any help from outside.
56 students* (1 3/4)= 98 students.

There are 98 students in the band~

Beryl calculated the total text messages sent by sophomores, juniors and seniors for a week using the matrix equation: Z = X + Y What are the values for the elements of this matrix? Z11 = z12 = z13 =

Answers

Answer:

z11= 523

z12= 714

z13= 468

Step-by-step explanation:

just did the assigment these are right

Answer:

first part is 1x3 and second part is

523

714

468

Step-by-step explanation:

just did it on edge