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Marrrta [24]
2 years ago
15

Sandra has a cylindrical mold for making candles with a radius of 3.4 cm and a height of 6 cm. If Sandra uses a rectangular bloc

k of wax measuring 15 cm by 12 cm by 18 cm, about how many candles can she make after melting the block of wax?
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

Answer:

14\ candles

Step-by-step explanation:

step 1

Find the volume of the cylindrical mold

The volume is equal to

V=\pi r^{2} h

we have

r=3.4\ cm

h=6\ cm

assume

\pi=3.14

substitute

V=(3.14)(3.4)^{2}(6)

V=217.79\ cm^{3}

step 2

Find the volume of the wax

The volume is equal to

V=(15)(12)(18)

V=3,240\ cm^{3}

step 3

Divide the volume of the wax by the volume of the cylindrical mold, to calculate the number of candles

3,240/217.79=14.9\ candles

Round down

14\ candles

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Answer:

Option D

Step-by-step explanation:

We are given the following equations -

\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}  First, I swapped the first and third rows.

\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}  Leading coefficient of row 2 canceled.  

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}  The start value of row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}       Matrix rows 2 and 3 were swapped.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}      Leading coefficient in row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

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The positioning of the zeros indicated that there was no solution!

<u><em>Hope that helps!</em></u>

6 0
3 years ago
]Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6. . . y + 3 = -6(x + 2)
pshichka [43]
Y - y1 = m(x - x1)
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now sub and pay close attention to ur signs
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7 0
3 years ago
If F(x) =5x/3 +5
victus00 [196]

Answer:

f^{-1}(x)=\frac{3(x-5)}{5}

Step-by-step explanation:

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3 years ago
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co
dybincka [34]

Answer:

The data is quantitative

Data is discrete

The highest level is Ordinal

Step-by-step explanation:

Data is of quantitative type when it allows us to measure, in a numerical and objective way, the differences  between different observations. Eventhough the supervisor uses words ( fair, poor etc) he can assign numerical values and measure differences between observations that has sense. Qualitative data refers to opinions, stories, interviews, images or data that cannot be interpreted numerically and has subjective interpretations depending in researcher.

Data is discrete because the variable measured: evaluation rating, can only takes certain specific values (1 to 5) A continuous variable, such as height can take many values in a ratio or real line,

Nominal data refers to variables that takes two possible values - the presence and absence of a characteristic, like being or not being a minor. Ordinal variables are variable which are discrete but the value of the variable allows to classify data in a specific order. This is the case of the rating scale. Interval variables are are ones that have specific low levels and high levels like age ranges.

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2 years ago
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I will give you the answer to number 1.
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How to solve:

Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 2 = 2</span> 

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is  <span> 3 </span>.

<span><span>     -2   +   -1   =   -3</span><span>     -1   +   -2   =   -3</span><span>     1   +   2   =   3   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  2 
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Step-4 : Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
                    2 • (x+1)
Step-5 : Add up the four terms of step 4 :
                    <span>(x+2)  •  (x+1)</span>

5 0
2 years ago
Read 2 more answers
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