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BARSIC [14]
3 years ago
9

You are rearranging your bookshelf to make it more interesting and harder to find anything on it. On one of the shelves you plan

to put 13 biographies and 6 mysteries. How many ways can you arrange them on the shelf if you don't want any two mystery books next to each other (i.e. they need to be separated by at least one biography, maybe more...).
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

for every 2 biographies you put 1 mystery book until you get to the middle then there will be 3

Step-by-step explanation:

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Which graph represents the function f(x)=4⋅3x ?<br> Please help!!!
S_A_V [24]

Answer:

Option D is correct.

Step-by-step explanation:

An exponential function is in the form of y =ab^x where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y = 4 \cdot 3^x           ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y = 4 \cdot 3^0  = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as x \rightarrow \infty , f(x)\rightarrow \infty

as  x \rightarrow -\infty , f(x)\rightarrow 0

therefore, the only graph which represents the function y = 4 \cdot 3^x   is Option D



6 0
3 years ago
Harry is building a model car. The actual car has a length of 15 feet and tires with a radius of 24 inches. His model car has a
katovenus [111]
  The answer would be 2 inches.
 The ratio of the model to the real figure is 1 feet to 12 feet, since 15 divided by 1.25 is 12. And since 24 inches = 2 feet, 2 divided by 12 would equal 1/6 feet, which would equals 2 inches.
5 0
3 years ago
Determine all the possible orders if someone went into a bakery and could order a vanilla, strawberry, or chocolate cake. They c
AysviL [449]

Answer:

Vv Vc Vs Vp

Sv Sc Ss Sp

Cv Cc Cs Cp

answer is C = 12

5 0
3 years ago
TAKE A SNIPER TAKE A SHOT TAKE THESE POINTS.
gulaghasi [49]

Answer:

1.5

Step-by-step explanation:

(6,-4)*1.5=(9,-6)

(2,-8)*1.5=(3,-12)

7 0
3 years ago
A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components
Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath

where \Delta x=x_f-x_i, the difference in the quadcopter's final and initial positions and \Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s.

The x-component of the average velocity is 2.70 m/s, so

2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}

and the y-component is -2.50 m/s, so

-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}

4 0
3 years ago
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