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2 years ago

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For every 1 litre of water used to make a medicine, 199ml of sucrose and 271ml of saline solution are used. Express the amount o

f water, sucrose and saline solution needed as a ratio in its simplest form.

1 answer:

GuDViN [60]2 years ago

3 0

Answer:

Step-by-step explanation:

water = 1 litre = 1000 ml

water : sucrose : saline = 1000 : 199 : 271

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The law of cosines is a^2+b^2-2abcosC=c^2. Find the value of 2abcosC.

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2ab x cos (C) = 7 because

a^2 + b^2 - 2ab x cos(C) = c^2
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2ab x cos(C) = 2^2 + 2^2 - 1^2
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The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the w

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Hey there,

Your question states: <span>The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the width of the poster. What are the dimensions of the poster? </span>

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Your correct answer would be $\boxed{20}$

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For what values of m does the graph of y = 3x^2 + 7x + m have two x-intercepts? a) m>12/49 b) m<12/49 c) m<49/12 d) m&g

den301095 [7]

The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":

<span>Δ=<span>b2</span>−4ac</span> Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios: <span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span> This just means: "if the discriminant is greater than zero, there will exist two x-intercepts" And for the second scenario: <span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span> This means: "if the discriminant is equal to zero, there will be one and only one x-intercept" And for the last scenario: <span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span> This means that :"if the discriminant is less than zero, there will be no x-intercepts" So, if we take your excercise and analyze the the discriminant: <span>3<span>x2</span>+7x+m=y</span> we will find the values that satisfy y=0 : <span>3<span>x2</span>+7x+m=0</span> And we'll analyze the discriminant: <span>Δ=<span>72</span>−4(3)(m)</span> And we are only interested in the values that make the discriminant equal zero: <span><span>72</span>−4(3)(m)=0</span> All you have to do is solve for "m".

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2 years ago

Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), do

Tpy6a [65]

Answer:

According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.

So, each probability can be found by using standard probabilities

$P=\frac{events}{total outcomes}$

<h3>(a) Defense</h3>

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Therefore, the defense has a probability of 22% of score that goal.

<h3>(b) Midfielders</h3>

$P=\frac{15}{50} \approx 0.30$

Therefore, midfielders have a probability of 30% of scoring that goal.

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2 years ago

Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.

NikAS [45]

Answer: These are some points of the grahp:

(-2,4)

(0, 3)

(2, 2)

Explanation:

1) f(x) = -0.5x + 3, is the equation of the form y = mx + b

2) y = mx + b is slope-intercept equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.

3) To graph f(x) = -0.5x + 3, follow these steps:

draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
draw marks on each axis, each mark equivalent to one unit.
the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
you can make a table with two or more points:

x f(x) = - 0.5x + 3

-2 4

0 3

2 2

4 1

6 0

4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.

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