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3 years ago

11

100*.005

05" align="absmiddle" class="latex-formula">

1 answer:

andrew11 [14]3 years ago

7 0

Answer is .5
move decimal place 2 places right

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Write an equation of the parabola that opens up whose vertex (−1, 2) is 3 units from the focus. (Vertex form or Parabola Form is

TEA [102]

Answer:

y2 = 4ax (opens right, a > 0)

y2 = -4ax (opens right, a > 0)

x2 = 4ay (opens up, a > 0)

x2 = -4ay (opens down, a > 0)

Vertex at (h, k) :

(y - k)2 = 4a(x - h) (opens right, a > 0)

(y - k)2 = -4a(x - h) (opens right, a > 0)

(x - h)2 = 4a(y - k) (opens up, a > 0)

(x - h)2 = -4a(y - k) (opens down, a > 0)

Equation of a Parabola in Vertex form

Vertex at Origin :

y = ax2 (opens up, a > 0)

y = -ax2 (opens down, a > 0)

x = ay2 (opens right, a > 0)

x = -ay2 (opens left, a > 0)

Vertex at (h, k) :

y = a(x - h)2 + k (opens up, a > 0)

y = -a(x - h)2 + k (opens down, a > 0)

x = a(y - k)2 + h (opens right, a > 0)

y = -a(y - k)2 + h (opens left, a > 0)

Step-by-step explanation:

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3 years ago

A batch of cookies requires 1 1/2 cups of sugar. How many batches can Tu make with 7 1/2 cups of sugar?

Korvikt [17]

You would subtract 1 1/2 from 7 1/2 so the answer would be 6 hope I helped

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3 years ago

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet

Law Incorporation [45]

send ssStep-by-step explanation:

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3 years ago

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Find the TWO integers whos product is -12 and whose sum is 1<br>

ahrayia [7]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3

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3 years ago

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A dish washer manufacturer introduced a new type of dish washer and conducted a survey on the new product. The survey showed 40%

antoniya [11.8K]

Answer:

$P(A \cup B) =0.45$

Step-by-step explanation:

From the question we are told that

Consumers seen the soap $P_A=40\% =0.40$

Consumers used the soap $P_B=20\% =0.2$

Consumers seen/tried the soap $P_x=15\% =0.15$

Generally the probability that consumers have seen and tried the soap is

$P(A \cup B=P(A)+P(B)-P(A \cap B$

$P(A \cup B=0.4+0.2-0.15$

$P(A \cup B) =0.45$

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3 years ago