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Mama L [17]
3 years ago
13

All of the questions

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
All these can be done without a calculator by taking the factors of ten separately.  We count zeros for the exponents.

770,000,000 / 1,100 = \dfrac{ 77 \times 10^7 }{11 \times 10^2} = 7 \times 10^5 = 700,000

3,900,000,000 / 13,000 = \dfrac{39 \times 10^8}{13 \times 10^3} = 3 \times 10^5 = 300,000
I'll leave the rest for you or someone else, sorry.

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APPLICATIONS
n200080 [17]

Answer:

(a) (4,9), (8,14).; (b) 1.25 in/h; (c) d = 1.25h + 4 ; (d) 4 in; (e) 19 in

Step-by-step explanation:

(a) Information as coordinate pairs

4 h,  9 in ⟶ (4, 9)

8 h, 14 in ⟶ (8,14)

The coordinates of the two points are (4,9), (8,14).

(b) Slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\  & = & \dfrac{14 - 9}{8 - 4}\\\\& = & \dfrac{5}{4}\\\\& = & \mathbf{1.25}\end{array}

The slope of the line is 1.25 in/h

(c) Equation of the line

\begin{array}{rcl}d & = & mh + b\\9 & = & \dfrac{5}{4} \times 4 + b\\\\9& = & 5 + b\\b & = & \mathbf{4}\\\end{array}

The y intercept is at (0,4)  

d = 1.25h + 4

(d) Depth when snowfall began

\begin{array}{rcl}d &= &\text{0 h } \times \dfrac{\text{1.25 in}}{\text{1 h}} \text{+ 4 in}\\\\&= &\text{0 in+ 4 in}\\& = &  \textbf{4 in}\\\end{array}

The depth was 4 in when the snowfall began.

(e) Depth after 12 h

\begin{array}{rcl}d &= &\text{12 h } \times \dfrac{\text{1.25 in}}{\text{1h}} \text{+ 4 in}\\\\&= &\text{15 in+ 4 in}\\& = &  \textbf{19 in}\\\end{array}

The depth would be 19 in after 12 h.

The figure below is a graph of your function. It shows that the depth was 4 in at the start of the snowfall, that it increases by 5 in every 4 h, and predicts a depth of 19 in after 12 h.

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3 years ago
Which of the following expression is equivalent to 3 x - 2 x + 5​
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Answer:

what are the answer  options?

Step-by-step explanation:

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