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Kamila [148]
3 years ago
7

Just to need solve this asap

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer: 55

Step-by-step explanation:

Given

Values are presented in the Venn diagram

No of left-handed students n(A)=25

No of vegetarians students n(B)=45

Students who are left-handed and vegetarian is given by n(A\cap B)=15

n(A\cup B) is given by n(A\cup B)=n(A)+n(B)-n(A\cap B)

Put the values

n(A\cup B)=25+45-15\\n(A\cup B)=55

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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
Please help me asap!!!
blondinia [14]

Answer:

the answer is 120.6                     (:

Step-by-step explanation:

3 0
4 years ago
If (42)^p = 41^4, what is the value of p?
babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904


Now you have 41^1.00648904(p) = 41^4


Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0
4 years ago
Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
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Answer:

Step-by-step explanation:

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8 0
3 years ago
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Which statement BEST describes why this set of ordered pairs is NOT a function?
UNO [17]

We have x = 4 repeating itself

If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.

The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.

This is why we don't have a function.

8 0
3 years ago
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