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4 years ago

A diver descends at a rate of 12 feet per minute at this rate where will the diver be in relation of surface after 4 minutes

Mathematics

2 answers:

sergiy2304 [10]4 years ago

6 0

Answer:

48 feet

Step-by-step explanation:

Distance = rate × time

d = 12 ft/min × 4 min

d = 48 ft

The diver will be 48 feet below the surface.

Step2247 [10]4 years ago

6 0

Answer:

-48 ft

Step-by-step explanation:

The unit rate of descent is

-12 ft

-----------

1 min

and so after 4 minutes, the diver will be 48 ft beneath the surface:

-12 ft

----------- * 4 min = -48 ft

1 min

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Aleksandr [31]

Answer:

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Step-by-step explanation:

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4 years ago

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According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

Alla [95]

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

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Hence, the average price of a new home in 2000 = $ 290 thousand .

3 0

3 years ago

Provide me three coordinate points for the following, given the Slope and Y-intercept. 5. Slope = 7/9, Y intercept = 12(give me

madam [21]

Since we have that the slope is m = 7/9 and the y-intercept is b = 12, we can write the equation of the line in slope-intercept form:

$\begin{gathered} y=mx+b \\ \Rightarrow y=\frac{7}{9}x+12 \end{gathered}$

to find three coordinate points, we can use arbitrary values on x to get the y-coordinate. To make things easier, let's use x = 9, 18 and 27:

$\begin{gathered} x=9 \\ \Rightarrow y=\frac{7}{9}(9)+12=7+12=19 \\ x=18 \\ \Rightarrow y=\frac{7}{9}(18)+12=7(2)+12=14+12=26 \\ x=27 \\ \Rightarrow y=\frac{7}{9}(27)+12=7(3)+12=21+12=33 \end{gathered}$

therefore, the line with slope m = 7/9 and y-intercept 12 passes through the three points (9,19), (18,26) and (27,33)

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1 year ago

Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x

f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

b - a

change in function value

This is equivalent to ---------------------------------------

change in x value

For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:

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4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is

224 units

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1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

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4 years ago

abel drew some triangles.his drawing had 21 vertices. how many triangles did he draw?write a division equation to answer the que

Vilka [71]

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3 years ago