For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

Answers

Answer 1

Answer: We have to find how can someone convert the temperature from degrees Farhenheit to degrees Celsius using the function. The temperature in degrees Celsius is equal to the temperature in degrees Farhenheit minus 32 times 5/9. Or C ( F ) = ( F - 32 ) * 5/9. For example: the temperature is F = 50°; C ( 50 ) = ( 50 - 32 ) * 5/9 = 18 * 5/ 9 = 10 °C. Answer: The function is: C ( F ) = ( F - 32 ) * 5/9.

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Point P(−4.05, −9.25) is a reflection across the y-axis of which of the following points?(−4.05, 9.25) (−9.25, −4.05) (4.05, −9.25) (9.25, 4.05)

The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Answers

Area of the rectangle= L* w
$x^(2) -2x-15$
On expanding;
$x^(2) -5x+3x-15$
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)

Answer:

Width of the rectangle is (x-5)

Step-by-step explanation:

We know that, the product of length and width gives the area of the rectangle.

The area of a rectangle is given as,

$\Rightarrow \text{Area of rectangle}=\text{Length}* \text{Width}$

$\Rightarrow \text{Width}=\frac{\text{Area of rectangle}}{\text{Length}}$

Factoring the area,

$=x^2-2x-15$

$=x^2-5x+3x-15$

$=x(x-5)+3(x-5)$

$=(x+3)(x-5)$

Putting it in the equation,

$\Rightarrow \text{Width}=((x+3)(x-5))/((x+3))=(x-5)$

Use the number line to compare the numbers.Drag and drop the numbers to place them in increasing order.
-1.3
0.4
-1/3
5/9

Answers

Answer:

The numbers in increasing order are:

-1.3, -0.33, 0.4, 0.55

Step-by-step explanation:

We have numbers:

-1.3,0.4,-1/3,5/9

We need to arrange in increasing order.

First convert fractions into decimals.

-1/3 = -0.33

5/9 = 0.55

We have numbers: -1.3, 0.4, -0.33, 0.55

Arranging numbers in increasing order we arrange them form smallest to largest.

The numbers in increasing order are:

-1.3, -0.33, 0.4, 0.55

Final answer:

The numbers -1.3, -1/3, 0.4 and 5/9 in increasing order when placed on a number line are -1.3, -1/3, 0.4, and 5/9. This is calculated by observing that smaller numbers are left on the number line and larger ones are to the right, and by converting fractions to decimals for easier comparison.

Explanation:

In the field of mathematics, a number line is a visual tool used to understand and compare numbers. In a number line, numbers to the left are smaller than those to the right. Comparing your numbers on a number line, you will get them in increasing order as such: -1.3, -1/3, 0.4, and 5/9.

The numbers you presented are in both decimal (-1.3, 0.4) and fraction (-1/3, 5/9) formats. -1.3 is the smallest because it is the furthest to the left on the number line. -1/3 is a negative fraction; its decimal equivalent is around -0.33, which is greater than -1.3. Next, 0.4 is a positive decimal, greater than any negative number. Finally, 5/9 is also positive and its decimal equivalent is approximately 0.56, which is larger than 0.4.

Learn more about Number comparison here:

brainly.com/question/29241034

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Natalie wrote a computer program that generates two random numbers from one to 11. When she runs it, what is the probability that both values will be more than 8? Write your probability answer as a fraction.

Answers

Answer:

Step-by-step explanation:

There are a lot of ifs in this problem. The generator has to be a fair one. Any one of the 11 numbers must be equally likely to happen. Second, the sequence must not be the same each time she turns it on. Assuming both are true, then the numbers she will get are

9 10 11 for one number

9 10 11 for the other number

P(x>8) = 3/11 * 3/11 = 9/121

Simplify 4 + (−3) − 2 × (−6)

Answers

Keywords:

Simplify, expression, order of operation, PEMDAS

For this case we must simplify the given expression, we must take into account the order of operation (sequence in which operations must be performed) known as PEMDAS:

P: Parentesis

E: Exponents

M: Multiplication

D: Division:

A: Addition

S: Subtraction

In the given expression, we see that we have multiplication and addition, according to the PEMDAS rule, we must first do the multiplication:

So:

$4 + (-3) - 2 * (-6) =$

We multiply, taking into account that: $- * - = +$

$4 + (- 3) + 12 =$

We add similar terms:

$12+4-3=$

$16-3 =$

Different signs are subtracted and the sign of the major is placed:

$4 + (-3) - 2 * (-6) = 13$

Answer:

By simplifying $4 + (-3) - 2 * (-6)$ we get 13 as a result.

2.-6=-12
4+(-3)-(-12)
13
Good Luck

Which graph correctly solves the system of equations below?x2 + y2 = 9
y = x + 3

Linear graph and circle. They intersect at negative 3, 0 and 0, 3
Linear and a quadratic graph. They intersect at negative 3, negative 5 and 2, 0.
Linear and a quadratic graph. They intersect at negative 2, 0 and 1, 3.
Linear graph and circle. They intersect at negative 2, 0 and 0, 2.

Answers

x^2 + y^2 = 9 . . . . . . . . circle
y = x + 3 . . . . . . . (linear graph)

They intersect at (-3, 0) and (0, 3)

Answer:

They intersect at (-3, 0) and (0, 3)

Step-by-step explanation:

took the test hope it helps

If a vacuum cleaner costs $248 and the sales tax is 6%, how much will the vacuum actually cost?

Answers

Initial cost of vacuum cleaner is = 248
tax is 6% = 6/100. 248 x 0.06 = 14.88
Thus, final cost of vacuum cleaner is 248 + 14.88 = $262.88
That is one expensive vacuum cleaner

The answer is $262.88

First you need to multiply the 6% from $248
$248x.06%= $14.88

Now you know that 6% of $248 is $14.88

Now you just need to add the $14.88 to the Orignal price of the vacuum $248

$248+$14.88= $262.88 <---- Answer

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