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3 years ago

Solve the equation 3.5(2.25+x)=14

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

x=1.75

Step-by-step explanation:

14/3.5=4-2.25=1.75.

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F(x) = square root 32x <br> g(x) = square root 2x

otez555 [7]

Given:

The two functions are:

$f(x)=\sqrt{32x}$

$g(x)=\sqrt{2x}$

To find:

The $(f\cdot g)(x)$ . Assume $x\geq 0$ .

Solution:

We have,

$f(x)=\sqrt{32x}$

$g(x)=\sqrt{2x}$

Now,

$(f\cdot g)(x)=f(x)\cdot g(x)$

$(f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}$

$(f\cdot g)(x)=\sqrt{32x\times 2x}$

$(f\cdot g)(x)=\sqrt{64x^2}$

$(f\cdot g)(x)=8x$

Therefore, the correct option is A.

5 0

2 years ago

What is the difference between brackets and parentheses in math?

DaniilM [7]

There’s really not one !

3 0

2 years ago

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0

3 years ago

Read 2 more answers

Nathan ordered one cheeseburger and one bag of chips for 3.75 jack ordered two cheeseburgers and three bags of chips for 8.25 kn

Elan Coil [88]

Answer:

cheeseburger is $3 and chips is $0.75

Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

2x+3y=8.25

2(3.75-y)+3y=8.25

7.5-2y+3y=8.25

y=8.25-7.5=0.75

x=3.75-y=3.75-0.75=3

Therefore, price of cheeseburger is $3 and chips is $0.75

7 0

3 years ago

We can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...

algol [13]

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.

8 0

3 years ago