2) Find each angle measure to the nearest degree

The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and

olchik [2.2K]

Answer:

{3, 5, 7, 9, 11}

Step-by-step explanation:

Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.

Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).

Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.

So, the Domain of the function is: {3, 5, 7, 9, 11}

3 0

4 years ago

Read 2 more answers

Which of the following is the same as 8.4x 10^2<br> A.8,400<br> B.840<br> C.84<br> D. .84

zysi [14]

Answer: Your answer is B.840

Step-by-step explanation:

What you do first is the exponents 10^2 is 100

8.4 x 100 is 840 because when you multiply you move the decimal points the amount of zero's you have to the right but when you divide you do the opposite. You go left the amount of zeros there are.

6 0

3 years ago

Simplify 9y+2y-5y please answer

Brums [2.3K]

Answer:

$9y+2y-5y=6y$

Step-by-step explanation:

So we have the expression:

$9y+2y-5y$

To simplify, simply combine the like terms. Therefore:

$9y+2y-5y\\=11y-5y\\=6y$

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

$9y+2y-5y$

Now, factor out a y from the three terms:

$=y(9+2-5)$

Do all the operations inside the parenthesis:

$y(9+2-5)\\=y(11-5)\\=y(6)=6y$

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0

3 years ago

Read 2 more answers

Brainliest and 30 points please help

kolbaska11 [484]

Answer:

22. Perimeter = 52 units

Area = 160 Square Units

23. Notation form : $2 \times 10^{5}$

Standard Form : 200000

Step-by-step explanation:

22.

The formula for perimeter is

P = 2 (length + Width )

= 2 ( 2x+3x+1)

= 2(5x+1)

The Formula for Area of a rectangle is

A= length x width

A= $2x \times (3x+1)$

A= $6x^2+2x$

Now we have to find the Perimeter and Area for x = 5

P = 2(5 x 5 +1)

P= 2(26)

P=52 units

A= 6 x 5 x 5 + 2 x 5

A= 150 + 10

A= 160 square units

23.

A. By using rule of exponents , we can determine that both the results will be same.

B.

Miriam's calculation

$\frac{2.8 \times 10^{9}}{1.4 \times 10^{4}}$

$\frac{2.8}{1.4} \times 10^{9-4}$

$2 \times 10^5$

Priya's calculation

$\frac{2.8 \times 10^{2}}{1.4 \times 10^{-3}}$

$\frac{2.8}{1.4} \times 10^{2-(-3)}$

$2 \times 10^5$

Standard notation

$2 \times 10^5 = 200000$

4 0

3 years ago

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr

Andrews [41]

Answer:

(a) 13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0

3 years ago