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3 years ago

8. Mario walks 7 blocks from his home to

Mathematics

2 answers:

Vika [28.1K]3 years ago

6 0

I believe the answer is 2. i hope this helps

lozanna [386]3 years ago

5 0

Answer:

2 Blocks from his house

Step-by-step explanation:

Mario walks 7 blocks from his home

0+7

to a restaurant. He then walks back toward home for five blocks, where he stops at a bookstore. How many blocks is Mario from his home?

0+7= 7

7-5= 2 Blocks

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The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends

Liono4ka [1.6K]

Answer:

128 seconds

Step-by-step explanation:

The sun subtends an angle $\theta=9.28\times10^{-3}$ rad

Angular velocity equation is $\omega = \frac{\theta}{t}$

where $\omega$ is angular velocity and t is time.

Earth spins at a rate of :

$\omega = \frac{2 \pi rad}{24 h \times \frac{3600 s}{1 h}} = 7.27221\times10^{-5}$ rad/s

Isolating time (t) from angular velocity equation gives:

$\omega = \frac{\theta}{t}$

$t = \frac{\theta}{\omega}$

$t = \frac{9.28\times10^{-3}}{7.27221\times10^{-5}}$

$t = 128 s$

8 0

3 years ago

Assume the exponential growth model A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006

Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model is given by:

$A(t) = A_0e^{kt}$

where k is the growth rate, t is time in years and $A_0$ is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

$A_0 = 5.9\text{ billions}$

We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

Putting these values in the growth model, we have,

$24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%$

1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.

8 0

2 years ago

Find the zeros of the function. Enter the solutions from least to greatest.

Harman [31]

9514 1404 393

Answer:

x = 5, x = 11

Step-by-step explanation:

Set f(x) = 0 and solve for x.

0 = (x -8)² -9

9 = (x -8)² . . . . . add 9

±√9 = x -8 . . . . . take the square root

±3 +8 = x . . . . . . . add 8

That is, ...

x = 8 -3 = 5 . . . . lesser x

x = 8 +3 = 11 . . . greater x

3 0

2 years ago

If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?

makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

(x)+cos

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

(x)+(1/4)

\sin^2(x) + 1/16= 1sin

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

∗

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

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2 years ago

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2 years ago

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