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2 years ago

Which of the equations below could be the equation of this parabola?

Mathematics

1 answer:

Vilka [71]2 years ago

7 0

Answer:

Step-by-step explanation:

Parabola that is opening upward has the form $y=ax^2$
Parabola opening downward has the form $y=-ax^2$
Parabola opening leftward has the form $x=-ay^2$
Parabola opening rightward has the form $x=ay^2$

Where a is a constant

Now, looking at the graph given, it takes the form $x=-ay^2$

Where a is 3 (matching the answer).

Hence, B is the correct answer choice.

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. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf

liberstina [14]

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

3 0

2 years ago

The area of a square concrete slab is 20 square feet. Find the side length of the square concrete slab if the area is increase b

guapka [62]

The side length of the square concrete slab if the area is increased by 25% is 5feet

The formula for calculating the area of a square is expressed as:

A = L² where:

L is the side length of the square

Given the area of the square concrete slab = 20 square feet

20 = L²

L =√20

If the area is increased by 25%, new area will be:

An = 20 + (0.25*20)

An = 20 + 5

An = 25 sq.ft

Get the new length

An = Ln²

25 = Ln²

Ln = √25

Ln = 5feet

Hence the side length of the square concrete slab if the area is increased by 25% is 5feet

Learn more here: brainly.com/question/11300671

7 0

1 year ago

The length of life of an instrument produced by a machine has a normal ditribution with a mean of 12 months and standard deviati

Zielflug [23.3K]

Answer:

a) $P(X$

And we can find this probability using the normal standard distirbution or excel and we got:

$P(z$

b) $P(7$

And we can find this probability with this difference:

$P(-2.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2.5$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

a) less than 7 months.

Let X the random variable that represent the length of life of an instrument of a population, and for this case we know the distribution for X is given by:

$X \sim N(12,2)$

Where $\mu=12$ and $\sigma=2$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard distirbution or excel and we got:

$P(z$

b) between 7 and 12 months.

$P(7$

And we can find this probability with this difference:

$P(-2.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2.5$

8 0

1 year ago

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

Alchen [17]

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = $2(\pi )r$ or $(\pi)d$