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3 years ago

a car model comes with the following choices: 9 colors,with or without air conditioning,with or without sunroof ,with or without

automatic transmission ,with or without a spoiler,and with or without anti lock brakes. in how many ways can it be ordered

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

$9\cdot2^5=288$

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

An 18-foot ladder touches a building 14 feet up the wall. What is the angle measure, to the nearest degree, of the ladder to the

kondor19780726 [428]

Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.

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2 years ago

Find the average of these numbers to the nearest whole number. 516,497,501,528,476

defon

516+497+501+528+476= 2518

2518/5= 503.6

round up to 504

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3 years ago

Use the surface integral in stokes' theorem to calculate the flux of the curl of the field

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3 years ago

Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
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\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$

8 0

3 years ago

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