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icang [17]
3 years ago
14

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

Mathematics
2 answers:
Sophie [7]3 years ago
6 0
B. f(x)=5(6.86x) this the correct anwser
Firlakuza [10]3 years ago
5 0

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

f(x)=5(1.9)^{3x}

Using the properties of exponent.

f(x)=5((1.9)^3)^{x}                                  [\because (x^m)^n=x^{mn}]

f(x)=5(6.859)^{x}                  [\because (1.9)^3=6.859]

f(x)=5(6.86)^{x}

The function f(x)=5(6.86)^{x}  is equivalent to the given function.

Therefore the correct option is C.

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Calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high​
Vsevolod [243]

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

6 0
3 years ago
Read 2 more answers
A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
2 years ago
The midpoint of gh is m(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H
Mars2501 [29]

Answer:

Step-by-step explanation:

(-2 + x)/2= 4

-2 + x = 8

x = 10

(2 + y)/2 = -3

2 + y = -6

y = -8

(10, -8) for endpoint H

4 0
3 years ago
This is integrated math2, i’m so lost idk what this is
igor_vitrenko [27]

Answer:

A. SAS

Step-by-step explanation:

In\:\triangle ABM \:\&\:\triangle CBM\\\overline{AB} \cong \overline{CB}.... (given) \\\angle ABM \cong \angle CBM....(given) \\\overline{BM} \cong \overline{BM}.... (common) \\\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate)

7 0
3 years ago
a contractor needs to cut a piece of glass to fit a square window. the area of the window is 16 ft^2. find the length of the sid
Katyanochek1 [597]

Area = 16 ft.²

Use the square root process:

√16

√(4 * 4)

2√4 = 4

8 0
2 years ago
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