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3 years ago

The scatterplot below shows a relationship.

Mathematics

1 answer:

DochEvi [55]3 years ago

3 0

Answer:

Linear with a positive correlation

Step-by-step explanation:

This is because the data is linear and upwards sloping from which we can infer is a positive correlation.

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A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold 17.96 ounces of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

Taking the value $\pi$ = 3.14.

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$18=12.56h$

Dividing both sides by 12.56 we get:

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0

3 years ago

Julie bought 12

Drupady [299]

She would have 12 seeds left from her planting of all packs

5 0

3 years ago

The population of a town was 25,000 people. Then 3,200 people moved away. What was the percent of decrease?

AVprozaik [17]

Answer:

12.8 %

Step-by-step explanation:

(3200)/(25000) *100

7 0

3 years ago

What equation results from completing the square and then factoring? x2 + 10X = 15

Mandarinka [93]

Answer:

C) (x + 5)² = 40

Step-by-step explanation:

Given the quadratic equation, x² + 10x = 15:

To complete the square, take the coefficient of the middle term (b), and divide it by 2a:

x² + 10x + $[\frac{b}{2a}]^{2}$ = 15 + $[\frac{b}{2a}]^{2}$

x² + 10x + $[\frac{10}{2}]^{2}$ = 15 + $[\frac{10}{2}]^{2}$

x² + 10x + 5² = 15 + 5²

x² + 10x + 25 = 40

The trinomial on the left-hand side of the equation provides a perfect square binomial factors: u² + 2uv + v² = (u + v)²

x² + 10x + 25 = 40

(x + 5)² = 40

Therefore, the correct answer is Option C) (x + 5)² = 40

3 0

3 years ago

If you had to choice anyone in this world who would you pick to see?

enyata [817]

Answer:

I would choose to see my friends? (singular: friend)

3 0

3 years ago