Ask question

Ask question

All categories

3 years ago

6

What is the value of y in this exponential decay function when x equals 2?

2 answers:

Leno4ka [110]3 years ago

6 0

Answer:

The answer is d

Step-by-step explanation:

0.09

sergij07 [2.7K]3 years ago

3 0

Answer:

$\boxed{\sf D. \ 0.09}$

Step-by-step explanation:

$\sf y = 0.3^x$

$\sf Plug \ x \ as \ 2.$

$\sf y = 0.3^2$

$\sf y =( \frac{3}{10} )^2$

$\sf y =\frac{3^2 }{10^2 }$

$\sf y =\frac{9}{100 }$

$\sf y =0.09$

You might be interested in

A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,

KiRa [710]

Answer:

$E(p)=51,450p+346,920$

Step-by-step explanation:

The function

$m(p) = 175p + 1,180$

gives the mass of the car as a function of the number of passengers in it.

And the function

$E(m) = 9.8m*h$

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

$E(m) =9.8m*(30)$

$E(m) =294m$

And to find the potential energy as a function of the number of passengers, we just substitute $m(p)$ into $E(m)$ to get:

$E(m(p))=294(175p+1180)$

$\boxed{ E(p)=51,450p+346,920}$

which gives the potential energy as a function of the number of passengers.

7 0

3 years ago

Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many

laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

Therefore, Robin will have 12 dimes in his pocket.

4 0

2 years ago

Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

2 years ago

2/3 divided by 1/2 please I really need this!!

olganol [36]

Answer:

1 1/3

Step-by-step explanation:

2/3 x 2/1 = 4/3 = 1 1/3

5 0

2 years ago

Read 2 more answers

Two fifths of a number, subtracted from 2

vovangra [49]

The answer in decimal form is <span>: -1.6</span>

5 0

3 years ago