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2 years ago

In 10 mins a heart can 700 times. How many mins will a heart beat 140 times?

1 answer:

3 0

700/10 is 70 so if the heart beats 70 times per minute that means 2 minutes is how long it takes for the heart to beat 140 times

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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

$det(A-\lambda I)=0$

Where I is the identity matrix

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

8 0

3 years ago

please check my answer asap! brainliest for fastest correct answer! find the area of the triangle. thank you!

Hitman42 [59]

Answer:

11.55 m^2

Step-by-step explanation:

The area is 11.55 bc the area of a triangle is A =1/2*b*h

4.2*1/2*5.5= 11.55

8 0

3 years ago

Read 2 more answers

A race car is equipped with a computer that records the reading on its speedometer every second during a race. if you graph this

Eva8 [605]

D.) Dependent variable is "<span>instantaneous velocity" as it gives information of velocity at every second

Hope this helps!</span>

3 0

2 years ago

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Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and

Klio2033 [76]

Answer: $2.5=\frac{n}{35}+\frac{n}{45}$

Step-by-step explanation:

1. To find the equation asked, you must add the times:

$t_{total}=t_1+t_2$

Where $t_1$ is the time takes Lilly in her path to work and $t_2$ is the time takes Lilly in her path to home.

2. You must use the following formula of speed and solve for the time

$V=\frac{n}{t}$

Where n is the distance, V is the speed and t is the time.

3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:

$35=\frac{n}{t_1}\\t_1=\frac{n}{35}$

4. And her train ride follows the same path at 45 miles per hour:

$45=\frac{n}{t_2}\\t_2=\frac{n}{45}$

5. Then, you obtain the following equation:

$2.5=\frac{n}{35}+\frac{n}{45}$

5 0

2 years ago

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At noon the minute and the hour hands overlap. When will it happen next?

neonofarm [45]

to be exact 1:05 p.m is the next time it will happen

6 0

2 years ago

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