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Tresset [83]
3 years ago
7

48 books on 6 shelves. How many books on 12 shelves?

Mathematics
2 answers:
vitfil [10]3 years ago
5 0
96 books because if you multiply by 2 that’s double of what the first answer was
Eva8 [605]3 years ago
3 0

Answer:

96 books

Step-by-step explanation:

because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96

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What is the volume of a cube with 1/3 inch sides p.s the answer is not 1/9
34kurt
V = ( \frac{1}{3} )^3= \frac{1}{27} \ \ in^3

 the answer is 1/27 in³
6 0
3 years ago
Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).
Paladinen [302]
Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
f(a) = sec(a)
f'(a) = sec(a)tan(a)
f'(0) = sec(0)tan(0) = 0

y = mx + c
1 = 0(0) + c
c = 1

Therefore, required equation is
y = 1.
5 0
3 years ago
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
3 years ago
The distribution of the weights ofloaves of bread from a certain bakery follow approximately a normaldistribution. Based on a ve
slega [8]

Answer:

D)

Step-by-step explanation:

ASSUMING NORMAL DISTRIBUTION, LESS THAN 10% AT LOWER END

OF 15.34 MEANS     [DENOTING MEAN BY M AND Standard Deviation. BY S]

M±AS=20%....................M-AS=15.34

FOR 20% LEVEL .......A=1.281........FROM TABLES

M-1.281×S=15.34............................1

SIMILARLY

M±BS=40%...................M+BS=16.31

FOR 40% LEVEL .............B=0.841...................FROM TABLES

M+0.841×S=16.31.............................2

EQN.2 - EQN.1

2.122×S=0.97

S=0.457=0.46

M=15.926= 15.93

HENCE, D IS THE ANSWER

that is D. μ = 15.93, σ =.46

8 0
3 years ago
Two third full one quarter of the drink is then consumed how full is the bottle now
Svetradugi [14.3K]
3 quarters, and two thirds of a quarter so It's [3 2/3]
4 0
3 years ago
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