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nlexa [21]
3 years ago
10

A lamp is 36 inches ABOUT how many centimeters tall is the lamp (one inch is about 2.5 centimeters)

Mathematics
1 answer:
Viktor [21]3 years ago
7 0
The lamp is about 90 cm. to get this answer you take 36 and multiply it by 2.5.
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Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
3 years ago
An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

V=\frac{1}{3}\pi  r^{2} h

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

\frac{1}{3}\pi  (1.5)^{2}(5) = 11.781

So our final answer is around 11.8 cubic inches.

3 0
3 years ago
Simplify the following surd expressions
olasank [31]

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps you need to know about</h3>
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  • PEMDAS
  • redical
<h3>adding or subtracting with redical experience is nothing but algebraic addition or subtraction</h3><h3>let's solve:</h3>

a)7 \sqrt{3}  - 2 \sqrt{3}  +  \sqrt{3}  - 3\sqrt{3}  \\ 8 \sqrt{3}  - 5 \sqrt{3}  \\ 3 \sqrt{3}

b)5 \sqrt{7}   + 4 \sqrt{7}   - 8  \sqrt{7}  \\ 9 \sqrt{7}  - 8 \sqrt{7}  \\  \sqrt{7}

6 0
3 years ago
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QF Q7.) Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions
Softa [21]
Attached is the solution.
The following log properties are used:
log(x^n) = nlog(x)
log(\frac{a}{b}) = log(a) - log(b) \\  \\ log(ab) = log(a) + log(b) \\  \\ log_9 (81) = 2 \rightarrow 9^2 = 81



5 0
3 years ago
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NEED HELP WITH A MATH QUESTION
gogolik [260]

Answer:

(-3,-4)

Step-by-step explanation:

You draw it...

         So since we are reflecting across the x-axis, we want the x-coordinate to stay the same.  We just need to take the opposite of y.

Ans. (-3,-4)

4 0
3 years ago
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