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Leviafan [203]
2 years ago
7

Here are the ingredients for making fish pie for 6 people.

Mathematics
1 answer:
yarga [219]2 years ago
6 0
Clare would need 80 of fish, (1/3 of 240 is 80.)
Ian would need 200g of butter (If you find the amount of each ingredient needed for a one person-pie, and multiply them by the amount of people you need to feed, you will get your answer.)
We know that 80g of butter is used for 6 people, so by dividing 80 by 6, we know that for a one person-pie, you would need 13.33g of butter. Multiply 13.33 by 15 to find out how many grams of butter he would need for a pie for 15 people.
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Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x =
lord [1]
Using washers, the volume is given by

\displaystyle\pi\int_{x=1}^{x=e}((1+3)^2-(\ln x+3)^2)\,\mathrm dx
=\displaystyle\pi\int_{x=1}^{x=e}(7-6\ln x-(\ln x)^2)\,\mathrm dx
5 0
2 years ago
5( x + 9)<br> What is the answer to that
emmasim [6.3K]

Answer:

5x + 45

Step-by-step explanation:

distribute 5 to both x and 9 so multiply them both

7 0
2 years ago
Read 2 more answers
2. In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
scoundrel [369]

Answer:

(a) x = 30°

(b) mRS =  30°

mST =  120°

mTU  = 120°

mUR = 90°

Step-by-step explanation:

(a) In the picture attached, the diagram is shown.

Given that m arc RS = x, from the ratios:

m arc ST = 4x

m arc TU = 4x

m arc UR = 3x

The addition of the four arcs must be equal to 360°, then:

x + 4x + 4x + 3x = 360°

12x = 360°

x = 360°/12 = 30°

(b) m arc RS = x = 30°

m arc ST = 4x = 4*30° = 120°

m arc TU = 4x = 4*30° = 120°

m arc UR = 3x = 3*30° = 90°

8 0
3 years ago
Which of the following is closest to 27.8 × 9.6? A. 280 B. 300 C. 2,800 D. 3,000
Alisiya [41]
27.8 × 9.6 is equal to <span>266.88</span><span>
So, the closest would be A. 280.</span>
3 0
2 years ago
Read 2 more answers
L need the answer for this question asap!!!
DochEvi [55]
<h2>Answer:</h2><h3>A. Domain </h3>

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

  • Domain = All reals

<h3>B. Range</h3>

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

  • Range = y ≤ 1

<h3>C. Increasing Interval</h3>

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

  • Increasing Interval = [-∞, 2]

<h3>D. Decreasing Interval</h3>

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

  • Decreasing Interval = [2, ∞]

<h3>E. Opening</h3>

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

  • Opening = Down

<h3>F. Min and Max</h3>

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

  • Max = 1
4 0
2 years ago
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