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Alexandra [31]
2 years ago
3

Five grams of sugar are added to a 40-gram serving of a breakfast cereal that is 10% sugar. What is the percent concentration of

sugar in the resulting mixture?
Mathematics
1 answer:
sleet_krkn [62]2 years ago
7 0
10g+0.10(40g)=14 grams of sugar.
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1 liter is equivalent to a volume of 1000 cm3 (the same as 10 cm x 10 cm x 10 cm). If a beaker has a cross-section the size of t
Oksanka [162]

Answer:

Volume = \frac{220}{7}r^2

Step-by-step explanation:

Given

Height = 10cm

<em>See Attachment for complete question</em>

Required

Determine the volume of the circle

The volume is calculated as thus;

Volume = \pi r^2h

Take \pi as \frac{22}{7}

<em>So; Volume becomes</em>

Volume = \frac{22}{7} * r^2 * h

Substitute 10 for h

Volume = \frac{22}{7} * r^2 * 10

Volume = \frac{220}{7} * r^2

Since, the value of the radius is not given;

<em>The volume of the circle is:</em>

Volume = \frac{220}{7}r^2

3 0
2 years ago
A region in the plane is bounded by the graph of y=1/x, the x-axis, the line x=m and the line x=3m, m&gt;0. the area of this reg
raketka [301]
The correct option is a): "i<span>s independent of m</span>".
 
By the fundamental theorem of calculus:<span><span>A′</span>(m)=<span>1<span>3m</span></span>⋅3−<span>1m
</span>         =0</span> So the area doesn't change with respect to m.
3 0
2 years ago
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A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 88
LiRa [457]

Answer:

See explanation

Step-by-step explanation:

A 3rd degree binomial with a constant term of 8

A binomial expression is an expression which has only terms such as: x² + 5

The degree of a polynomial is the term with the highest exponent on its variable.

Example: the expression above x² + 5

The exponent of variable, x is 2

So, it is a 2nd degree polynomial

We also have 1st degree polynomial where the highest exponent on the variable is 1

3rd degree polynomial where the highest exponent on the variable is 3

A 3rd degree binomial with a constant term of 8

1. There must be a variable, let say x

2. The highest exponent on the variable must be 3

3. There must be a constant 8

4. The expression must have two terms only

It could be x² + 8 where the coefficient of x is 1

2x² + 8

3x² + 8

It could take any form as long as the highest exponent on the variable is 3 and there are just two terms

7 0
2 years ago
The back of Monique’s property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
gogolik [260]

Answer:

4050 sq. feet.

Step-by-step explanation:

Fencing is done on three sides of the rectangular area.

Given that there are 180 feet of fence available.

Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.

Now, the area of the plot is given by A = LW

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Then differentiating with respect to L in the both sides we get,

\frac{dA}{dL} = 180 - 4L =0 {Since condition for Area to be maximum is \frac{dA}{dL}=0}

⇒ L = 45 feet.

Now, from equation (2), we have A_{max} =L(180-2L) = 45(180 - 90) =4050 square feet.

3 0
2 years ago
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. Th
Mkey [24]
The answer for this one is 100
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