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2 years ago

Given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?

Mathematics

1 answer:

maria [59]2 years ago

3 0

its line a

Step-by-step explanation:

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Enzo is studying the black bear population at a large national park.

Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

$B(t) = 2500 \cdot 2^{0.01t}$

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

$B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973$

There will be 2,973 black bears in 25 years time.

4 0

2 years ago

A pack or cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.32?

horsena [70]

.32 because 4.00 plus .32 is 4.32

7 0

2 years ago

A is a 4x4 matrix and A^2 + 4A - 5I = 0. If det(A+2I)>0, enter det(A+2I)

maw [93]

$\mathbf A^2+4\mathbf A-5\mathbf I=0$
$\implies\mathbf A^2+4\mathbf A+4\mathbf I=(\mathbf A+2\mathbf I)^2=9\mathbf I$
$\implies\det\bigg((\mathbf A+2\mathbf I)^2\bigg)=\det(9\mathbf I)$
$\implies\det(\mathbf A+2\mathbf I)^2=9^4\det\mathbf I$
$\implies\det(\mathbf A+2\mathbf I)=\pm\sqrt{9^4}$
$\implies\det(\mathbf A+2\mathbf I)=9^2=81$

where we take the positive root because we're told that the determinant is positive.

5 0

2 years ago

What is 21.6 percent as a fraction

Alchen [17]

Fractional number equivalent to 21.6 is 108/5. This is because 108/5=21.6...

Hope this helps! :-)

8 0

2 years ago

We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.

Gennadij [26K]

Answer:

V / ( pi r^2) = h

Step-by-step explanation:

V = pi r^2 h

Divide each side by pi r^2

V / ( pi r^2) = pi r^2 h / pi r^2

V / ( pi r^2) = h

7 0

2 years ago