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frozen [14]
2 years ago
6

Zack has 2 feet of balsa wood. he needs twice that amount to finish a project. the cost is $0.05 per inch. how much will the bal

sa wood cost zack.
Mathematics
2 answers:
snow_lady [41]2 years ago
7 0

Answer:

$1.2

Step-by-step explanation:

There is 12 inches in a foot, and if he needs twice the amount he already has which is 4 then you would multiply 0.05 times 24 and you would get $1.2

allsm [11]2 years ago
5 0

Answer: $1.20 for 2 feet of balsa wood

Step-by-step explanation: There are 12 inches in 1 foot, and 24 inches in 2 feet. The cost per inch is 0.05, multiplying 24 (inches) x 0.05 (the cost per inch) would equal $1.20

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12345 [234]

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3 years ago
Polynomial equation when zeros are -4, -2, 1, 4
jek_recluse [69]
<h2>The required poynomial equation is x^{4}+x^{3}-18x^{2}-16x+32.</h2>

Step-by-step explanation:

Given,

The zeros of the polynomial are - 4, - 2, 1 and 4

To find, the polynomial equation = ?

We know that,

The polynomial equation = (x - A)(x - B)(x - C)(x - D)

= (x + 4)(x + 2)(x - 1)(x - 4)

= [(x + 4)(x - 4)] [(x + 2)(x - 1)]

= (x^{2}-16)(x^2-x+2x-2)

=  (x^{2}-16)(x^2+x-2)

= x^{4}+x^{3}-2x^{2}-16x^{2}-16x+32

= x^{4}+x^{3}-18x^{2}-16x+32

Thus, the required poynomial equation is x^{4}+x^{3}-18x^{2}-16x+32.

4 0
3 years ago
Each side of an equilateral triangle measure 11 centimeters. To the nearest tenth of an centimeter, what is the length of the al
Orlov [11]
The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal).  This gives us a right triangle with leg 5.5 and hypotenuse 11.  We use the Pythagorean theorem:

5.5² + h² = 11²
30.25 + h² = 121

Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75

Take the square root of both sides:
√h² = √90.75
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3 0
3 years ago
The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)= -4p2+1200p, when the unit price is p dollars.
qaws [65]

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

\displaystyle x_v=-\frac{b}{2a}  \\\\  Where :\\\\ y_v- maximum \ \  income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\  y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \

4 0
3 years ago
The fracture toughness (in ) of a particular steel alloy is known to be normally distributed with a mean of 28.3 and a standard
Effectus [21]
This is a conditional probability question.

The conditional probability is given as follows: The probability of an event A given B is given by

P(A|B)= \frac{P(A\cap B)}{P(B)}

Thus, given that the fracture toughness of a particular steel alloy is known to be normally distributed with a mean of 28.3 and a standard deviation of 0.77.

The probability that the fracture toughness will be between 29 and 40.3 given that the <span>fracture toughness is at least 27 is given by

P(29 \leq X \leq 40.3 \, | \, X \geq 27)= \frac{P(29 \leq X \leq 40.3)\cap P(X \geq 27)}{P(X \geq 27)}  \\  \\ =\frac{P(29 \leq X \leq 40.3)}{P(X \geq 27)}

P(29 \leq X \leq 40.3)=P\left(z \ \textless \  \frac{40.3-28.3}{0.77}\right)- P\left(z \ \textless \  \frac{29-28.3}{0.77}\right) \\  \\ =P(z\ \textless \ 15.58)-P(z\ \textless \ 0.91)=1-0.81835=0.18165

P(X \geq 27)=1-P(x\ \textless \ 27) \\  \\ =1-P\left(z\ \textless \ \frac{27-28.3}{0.77}\right)=1-P(z\ \textless \ -1.688) \\  \\ =1-0.04568=0.95432

Thus, </span>the probability that the fracture toughness will be between 29 and 40.3 given that the <span>fracture toughness is at least 27 is given by</span>

\frac{P(29 \leq X \leq 40.3)}{P(X \geq 27)}= \frac{0.18165}{0.95432} =\bold{0.1903}
6 0
3 years ago
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