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3 years ago

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Mathematics

1 answer:

Mazyrski [523]3 years ago

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Joshua and his children went into a bakery and he bought $15 worth of donuts and cookies. Each donut costs $1.75 and each cookie

Natalija [7]

Answer:

Joshua bought 12 cookies & ABOUT 7 donuts.

Step-by-step explanation:

7 0

3 years ago

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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e

laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

$V^{'}(x)=12(x-12)(x-4)$

Set the derivative equal to zero to obtain the critical points

$V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4$

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0

3 years ago

A volley is 1800 cm long and 900 cm wide it is divided into two equal halves for each of the team. What is the area one team occ

madam [21]

Answer:

First of all, you'd divide 1800 by 2, which equals 900; then you divide 900 by 2, which is 450. Add those teo together and you'd get 1350, which is the answer.

Please let me know if this is wrong and I'll check it over

4 0

3 years ago

The half life of a radioactive element is five years. A scientist has 18 grams of the element. The equation representing the num

Kaylis [27]

$\bf g=18(0.5)^{\frac{x}{5}}
\\\\\\
\textit{how much is there after a year?}\qquad g=18(0.5)^{\frac{1}{5}}\implies g\approx 15.67$

so, it was initially 18grams, after 1year, x = 1, it went down to 15.67grams, for a difference of about 2.33 grams.

now, if we take 18 to be the 100%, how much is 2.33 in percentage off of it?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
18&100\\
2.33&p
\end{array}\implies \cfrac{18}{2.33}=\cfrac{100}{p}\implies p=\cfrac{2.33\cdot 100}{18}$

round it up if you need to, that's the percentage differential.

3 0

2 years ago

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(5 pts) If one wants to calculate π to an arbitrary number of decimal places, the best way to do this is to use a power series r

horsena [70]

Answer:

Step-by-step explanation:

Find attached the solution

3 0

3 years ago