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3 years ago

Evaluate f(x)=x^2+1 for f(10)

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

For f(10) replace x with 10 then solve:
f10) = 10^2 + 1
= 100 +1
= 101

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

Answer-

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

Solution-

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

3 0

3 years ago

A company packages their product in two sizes of cylinders each dimension of the largest cylinder is twice the size of the corre

Katarina [22]

The correct answer to your question is:
D. The volume of the cylinder is 8 times the volume of the smaller cylinder.

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3 years ago

Which is not in proportion a) 2 : 4 = 3 : 6 b) 1 : 3 = 3 : 9 c) 4 : 6 = 3 : 2 d) 5 : 1 = 10 : 2

Gnoma [55]

Answer:

Step-by-step explanation:

(a)

2 : 4 ( divide both values by 2)

= 1 : 2

3 : 6 ( divide both values by 3 )

= 1 : 2

Thus 2 : 4 = 3 : 6

(b)

3 : 9 ( divide both values by 3 )

= 1 : 3

Thus 1 : 3 = 3 : 9

(c)

4 : 6 ( divide both values by 2 )

= 2 : 3 ≠ 3 : 2

(d)

10 : 2 ( divide both values by 2 )

= 5 : 1

Thus 5 : 1 = 10 : 2

3 0

3 years ago

192 is what percent of 128

charle [14.2K]

Answer:

245.76

Step-by-step explanation:

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3 years ago

An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube

Sergio [31]

ANSWER:

147.868 mL of water is required to make an ice cube.

SOLUTION:

Given that, an ice cube is made up of 5 fluid ounces of water.

We need to find how many milli liters of water does it require to make an ice cube.

For, that we have to convert 5 fluid ounces in to units of milli liters.

We know that, 1 US fluid ounce equals to 29.5735 milli liters. i.e. 1 US fluid ounce = 29.5735 mL

Now,

An ice cube is made by 5 fluid ounces = 5 x 1 fluid ounce

= 5 x 29.5735 mL = 147.868 mL

Hence, 147.868 mL of water is required to make an ice cube.

5 0

2 years ago