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Ipatiy [6.2K]
3 years ago
9

Book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick.

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0
The right answer is c .
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Please help me answer this question genius
kolbaska11 [484]

Answer:

  x ∈ {-0.465, 1.014}

Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

__

The equation can be made a quadratic by the substitution ...

  z = e^(2x)

Then we have ...

  2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}

7 0
2 years ago
Given that f(x)=3x+1 and g(x)=4x+2/4, solve for g(f(0))
maksim [4K]
f(x)=3x+1\\\\g(x)=\dfrac{4x+2}{4}\\\\f(0)=3\cdot0+1=0+1=1\\\\g(f(0))=g(1)=\dfrac{4\cdot1+2}{4}=\dfrac{4+2}{4}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}=1.5
7 0
3 years ago
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown i
Yakvenalex [24]

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

<h3>What is mean?</h3>

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

To know more about mean follow

brainly.com/question/968894

#SPJ1

7 0
2 years ago
If square root of x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, include all
Zina [86]

Answer:

You know that √x = 3.4, therefore x = 3.4² = 11.56

Hope I helped :)

6 0
3 years ago
Read 2 more answers
What is the initial value of the exponential function shown on the graph? 7 ts O 0 1 3 O2 2 4. 7 5 4 3 2 1 1 1 2 3​
Tamiku [17]

Answer:

D.(4)

Step-by-step explanation:

8 0
2 years ago
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