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3 years ago

I don’t understand? How do you do numbers 3 and 4?

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

This is the answer, hope this helps you

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The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t

djyliett [7]

Option C: $316$ is the predicted population when $x=15$

Explanation:

The regression equation for an exponential data is $\log y=0.14x+0.4$

Where x is the number of years and

y is the population

We need to determine the predicted population when $x=15$

The population x can be determined by substituting $x=15$ in the equation $\log y=0.14x+0.4$

Thus, we have,

$\log y=0.14(15)+0.4$

$\log y=2.1+0.4$

$\log y=2.5$

Using the logarithmic definition $\log _{a}(b)=c$ then $b=a^{c}$

$\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}$

$y=316.22776 \ldots$

Rounding off to the nearest whole number, we get,

$y=316$

Thus, the predicted population when $x=15$ is 316

Hence, Option C is the correct answer.

7 0

3 years ago

Vivi scored 5 goals in Saskatoon sticks lacrosse tournament. This was 1/8 of her teams goals. How many goals did vivi’s team sco

yKpoI14uk [10]

5/ (1/8) = 40. Therefore the team scored 40 goals

7 0

3 years ago

The acceleration function a(t) (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.

klemol [59]

Answer:

A: $v(t)=-t^2+4t-5$

Step-by-step explanation:

Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

$v(t)=\int\ {2t+4} \, dt$

Integrate:

$-t^2+4t+C$

V(0)=-5:

$-0^2+4(0)+C=-5\\C=-5$

Therefore, v(t):

$v(t)=-t^2+4t-5$

7 0

3 years ago

Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.

Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

$(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}$

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

i.e $(BC)^{2}=(AB)^{2}+(AC)^{2}$

Substituting the values AB ,AC, BC we get

$(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m$

Therefore the value of x is 9 m.

4 0

2 years ago

In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. R

tatuchka [14]

Answer:

A would make sense

Step-by-step explanation:

6 0

2 years ago