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3 years ago

What type of function best models the data in this table? Justify your reasoning.

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

The function that models the data in this table would be a linear function.

Step-by-step explanation:

161-52=9

7-14=3

9/3=3

52-43=9

14-11=3

9/3=3

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here are approximately 3.6 million births in a country each year. Find the birth rate in units of births per minute.

Hatshy [7]

Answer:

6.8 approximately 7 births/mins

Step-by-step explanation:

3600000/525600

If we have 3600000 births in a year, and in a year we have 6omin * 24hrs*365days a year we therefore, have the equation below

Amount of births in a year / (amount of mins in a year)

= 6.8births per mins

3 0

3 years ago

Stephanie has an aquarium that is in the shape of a right rectangular prism, 50 centimetres long, 25 centimetres wide and 30 cen

Bess [88]

To solve this, we are going to use the volume formula for a rectangular prism: $V=lwh$
where
$V$ is the volume of the prism
$l$ is the length of the prism
$w$ is the width of the prism
$h$ is the height of the prism

We are also using the volume of a sphere formula: $V= \frac{4}{3} \pi r^{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere

Part A: Since she <span>wants a layer of marbles in the bottom of the tank about 5 centimeters deep, the height of this little rectangular prism will be 5 centimeters, so </span> $h=5$ . Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(5)$
$V=6250 cm^{3}$
Now that we know that she wants to cover a volume of 6250 $cm^{3}$ with marbles, lets find the volume of each marble.
We know that the diameter of each marble is 1 cm. Since the radius is of a sphere is half its diameter, $r= \frac{1}{2} =0.5$ . Lets replace that value in our volume formula:
$V= \frac{4}{3} \pi r^{3}$
$V= \frac{4}{3} \pi (0.5)^{3}$
$V=0.52 cm^{3}$
Now, let $x$ the number of marbles she will need to cover a volume of 6250 $cm^{3}$ :
$0.52x=6250$
$x= \frac{6250}{0.52}$
$x=12019.23$
Since we know that each bag of marbles has 500 marbles, we are going to divide the number of marbles she will need by the number of marbles in each bag:
$\frac{12019.23}{500} =24.03$

We can conclude that to fill a layer of 5 cm with marbles, she will need 24 bags of marbles.

Part B: We know that she already have 5 cm of her aquarium filled with marbles, and that she also added water <span>until it’s level is 3 centimeters below the top of the tank, so to find the height of this new rectangular prism, we are going to subtract 5 cm plus 3 cm from the original height of her aquarium:
</span> $h=30-(5+8)$
$h=30-13$
$h=17cm$
Since the other measures of our little rectangular prism are the same as the aquarium, $l=50$ and $w=25$ . Lets replace those values in our volume formula:
$V=lwh$
$V=(50)(25)(17)$
$V=21250cm^{3}$
Remember that $1litre=1000cm^{3}$ . So:
$(21250cm^3)( \frac{1litre}{1000cm^{3})} =21.25liters$

We can conclude that there are 21.25 liters of water in the tank.

6 0

3 years ago

What is the slope of this graph?

kvasek [131]

Answer:

-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

4 0

3 years ago

There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles. How many reptiles are there?

Marina86 [1]

Answer:

There are 9 000 000 = 9 million reptiles in the US.

Step-by-step explanation:

Percentages and ratio:

The double of a measure, for example, is 200% of the measure.

So 1000% of a measure is 10 times the measure.

There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles.

The number of pet dogs is 10 times the number of reptiles, which means that:

$10x = 90 000 000$

$x = \frac{90 000 000}{10}$

$x = 9 000 000$

There are 9 000 000 = 9 million reptiles in the US.

3 0

3 years ago

Which one of the following equations is equivalent to 3x-12 = -9?

MissTica

the answer choices don't make sense but I can help u with solving the equation it's x = 1

3x-12=-9 , minus 12 on both sides
3x = 3 , divide 3 on both sides
x = 1

now that u know this go through your answer choices and solve their equation and see which one produces x = 1 and that'll be the answer!!

3 0

3 years ago