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3 years ago

What angle represents 3.5 rotations counterclockwise?

1 answer:

8 0

1 full rotation is 2pi, or 360 degrees.
3.5 times either of those gives you 7pi, or 1260 degrees. Since you going counterclockwise already, you don't have to bother with negative signs.

7pi, or 1260 degrees.

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Help me Please?

k0ka [10]

Answer:

f(9.5) = 558.02.

Step-by-step explanation:

Because it is an exponential function, it can be written: y = (a)(b)^x

Now substitute in the two known points:

72 = (a)(b)^7.5 and

2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2

72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)

36 = b^3.5: => To isolate b take the 3.5 root of both sides

{3.5 root}(36) = {3.5 root}(b^3.5)

2.783927 = b

Now to solve for a

2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a

Equation: y = (0.0332965)(2.783927)^x

Now plug in 9.5 for x

(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02

7 0

3 years ago

-x+4y=4<br>-x+3y=1<br>is (8,3) a solution of the system?

svetoff [14.1K]

check by plugging into both equations

-8+4(3)=4

-8+12=4

4=4

-8+3(3)=1

-8+9=1

1=1

(8,3) is a solution of the system

7 0

4 years ago

Use technology to construct an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1) f(x) = – x2 + 4 f(x) = x2 - 4

Nadusha1986 [10]

The tool I used for modellin is MS Excel. As you on the left side of the picture, I tabulate the x and y coordinates with respect to their columns. Then, I plotted it using the scatter plot graph. In this type of graph, only plots are drawn on the Cartesian plane. Next, I created a trendline as represented by the blue dashed line. There are options to the degree of your trendline: linear, polynomial or exponential. The closes fit is the polynomial with a degree of 2. An option is listed there in displaying the equation. The equation modelled by regression through data fitting is:
y = x² - 4x+1

8 0

3 years ago

Read 2 more answers

What is the product of (5x + 1)(5x - 1)?

kolezko [41]

Answer:

D) 25x^2-1

Step-by-step explanation:

(5x+1)(5x-1)

25x^2+5x-5x-1

25x^2-1

4 0

3 years ago

PLZ HELP Find the value of x that makes ΔXYZ~PQR

Galina-37 [17]

Answer:

x = 8

Step-by-step explanation:

$\triangle XYZ \sim\triangle PQR... (GIVEN) \\\therefore \frac{XY}{PQ} = \frac{YZ}{QR}.. (csst) \\\therefore \frac{20}{30}= \frac{x+6}{21}\\\therefore \frac{2}{3}= \frac{x+6}{21}\\\therefore \frac{2\times 21}{3}= {x+6}\\\therefore 14= {x+6}\\\therefore 14-6= {x}\\\therefore 8= {x}\\\huge \orange{\boxed {\therefore x = 8}}$

6 0

4 years ago