Evaluate the expression 2⋅(3^6⋅3^−5) a) 2/3 b) 3 c) 6 d) 18

PLZZ ANSWER 25 PTS RATED ATAR PROMISE TO GIVE BRAINLIEST PLZZZ ANYONE KNOW THIS???? A 154-lb person burns 420 calories per hour

Novosadov [1.4K]

Answer:

c = 420t . . . . c is calories burned; t is hours riding at 15 mph

Step-by-step explanation:

There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:

c = 420·t

where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.

___

In general, rates are related to quantities by ...

quantity = rate · time . . . . . where the rate is (quantity)/(time period)

8 0

3 years ago

Read 2 more answers

Solve this equation 4y-y+11=38

nordsb [41]

Answer:

y= 9

Step-by-step explanation:

4y-y+11=38

3y+11=38

3y= 38-11

3y= 27

y= 27/3

y=9

hope it helps ,pls mark me as brainliest

6 0

3 years ago

WILL MARK AS BRAINLIEST!!! 5. A 2011 study by The National Safety Council estimated that there are nearly 5.7 million traffic ac

Artyom0805 [142]

Answer:

Step-by-step explanation:

Hello!

Regarding the reasons that traffic accidents occur:

28% are caused by distracted drivers using cell phones or texting

11% of the drivers' user their phones at any time

The probability of a driver having an accident is 5.26%

a)

DC = event that a randomly selected driver is using a cell phone.

P(DC)= 0.11

b)

TA = event that a randomly selected driver has a traffic accident.

P(TA)= 0.0526

c) and f)

If both events are related, i.e. dependent, then you would expect that the occurrence of one of these events will affect the probability of the other one. If they are not related, i.e. independent events, then their probabilities will not be affected by the occurrence of one or another:

If both events are independent P(TA|DC)= P(TA)

If they are dependent, then:

P(TA|DC)≠ P(TA)

P(TA|DC)= 0.28

P(TA)= 0.0526

As you can see the probability of the driver having an accident given that he was using the cell phone is different from the probability of the driver having an accident. This means that both events are related.

d) and e)

You have to calculate the probability that "the driver was distracted with the phone given that he had an accident", symbolically P(DC|TA)

P(DC|TA) = $\frac{P(DCnTA)}{P(TA)}$

$P(TA|DC)= \frac{P(TAnDC}{P(DC)}$ ⇒ P(DC∩TA)= P(TA|DC)*P(DC)= 0.28 * 0.11= 0.0308

P(DC|TA) = $\frac{0.0308}{0.0526}= 0.585= 0.59$

I hope this helps!

3 0

3 years ago

If c+1/d=5 , what is the value of 30d/2c+2

klemol [59]

Answer:

3

$d\in R,\hspace{5}d\neq 0$

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

$\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1$

Now, replace the value of c into the other equation:

$\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\$

Using distributive property

$\frac{30d}{10d-2+2} =\frac{30d}{10d} =3$

However, keep in mind that this is true for:

$d\in R,\hspace{5}d\neq 0$

8 0

3 years ago

-25/J = 5 16 + s = -90 13 + t = 51 r/10 = (-6) a + -12 =45

alexandr1967 [171]

we conclude that the solution for the given algebraic expressions are:

J = -5
s = -106
t = 38
r = -60
a = 57

<h3>How to solve these algebraic expressions?</h3>

Here we have some simple algebraic expressions:

The first one is:

-25/J = 5

We want to solve this for J.

Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.

(-25/J)*J = 5*J

-25 = 5*J

Now we can divide both sides by 5, so we isolate J:

(-25)/5 = (5*J)/5

-5 = J

We conclude that the solution is J = -5.

Now, similarly for the other equations we have that:

16 + s = -90

Here we subtract 16 in both sides:

s = -90 - 16 = -106

13 + t = 51

Here we subtract 13 in both sides:

t = 51 - 13 = 38

r/10 = (-6)

Here we multiply both sides by 10:

r = (-6)*10 = -60

a + (-12) = 45

Here we add 12 in both sides:

a = 45 + 12 = 57

Then we conclude that the solution for the given algebraic expressions are:

J = -5
s = -106
t = 38
r = -60
a = 57

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

6 0

2 years ago