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xxMikexx [17]
3 years ago
11

Match the following exponential functions with their "b" value.

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

9514 1404 393

Answer:

  in order by function: 0.6, 8, 7/3, 2, 1/2

Step-by-step explanation:

The functions are given in the form ...

  f(x) = a·b^x

The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.

From the top-down, the functions listed on the left have the b-values shown above.

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Median  94.5
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5 0
3 years ago
A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th
-Dominant- [34]

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = 384\ m

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

perimeter=2\times(length+width)

Now substituting the values, we get;

384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114

Width = 114\ m

Length = x-36=114-36=78\ m

Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

6 0
3 years ago
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

7 0
3 years ago
I don’t know how to do this please helppp
Kitty [74]

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side <em>h</em>

<em>QZ/ST=PZ/RT</em>

<em>48/12=PZ/4</em>

<em>PZ/4=48/12</em>

<em>(PZ/4)3=48/12</em>

<em>PZ(3)/12=48/12</em>

<em>48/3=16</em>

16=PZ.

3Step-by-step explanation:

7 0
3 years ago
9 more than 2 multiplied by f
Andrej [43]
(2+9)*f
= 11*f

The final answer is 11f~
6 0
3 years ago
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