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3 years ago

The area is ___ square units

Mathematics

1 answer:

12345 [234]3 years ago

5 0

Answer: 358 square units

Steps:
(12 * 20) + (10 * 10) + (6 * 3)
240 + 100 + 18
358

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Calculate the volume of blood moved per minute by a heart at rest.A heart "at rest" beats at a rate of 72 beats per minute and m

Travka [436]

Answer:

70 X 72 = 5040 mL per minute

6 0

3 years ago

Determine if there is a proportional relationship between the two quantities

Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Table a

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

$k=\frac{B}{A}$

For A=35, B=92 ---> $k=\frac{92}{35}=2.63$

For A=23, B=80 ---> $k=\frac{80}{23}=3.48$

the values of k are different

therefore

There is no proportional relationship between the two quantities

Table b

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

$k=\frac{D}{C}$

For C=20, D=8 ---> $k=\frac{8}{20}=0.40$

For C=12.5, D=5 ---> $k=\frac{5}{12.5}=0.40$

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

$D=0.40C$

7 0

3 years ago

Write as a single term: cos(2x) cos(x) + sin(2x) sin(x)

GREYUIT [131]

Answer: cos(x)

Step-by-step explanation:

We have

sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and

cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)

From eq. (1)

if x = y

sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)

From eq. 2

If x = y

cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)

cos (2x) = cos²(x) - sin²(x)

Hence:The expression:

cos(2x) cos(x) + sin(2x) sin(x) (3)

Subtition of sin(2x) and cos(2x) in eq. 3

[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)

and operating

cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)

cos (x) [ cos²(x) + sin²(x) ] = cos(x)

since cos²(x) + sin²(x) = 1

8 0

3 years ago

Use the function below to find f(-2) f(x)=5^x

Thepotemich [5.8K]

Answer:

1/25

Step-by-step explanation:

f(x)=5^x

Let x = -2

f(-2)=5^-2

We know that a^-b = 1/a^b

= 1/5^2

= 1/25

4 0

3 years ago

What is x^3 4x^2=225?

Travka [436]

First off you need to take the square root of both sides and it leaves you with (x)(2x)= 15 then you multiple the x and it gives you 2x^2=15 then you divide by 2 and it gives you 7.5 then you take the square root of that to cancel the x^2 and it gives you x=2.7

3 0

3 years ago