All categories

3 years ago

Can you show me how to solve this problem: a. ) 16=4 to the 3rd power x -7

1 answer:

7 0

We assume you mean
$\ \ \display{16=4^{3x-7}}$
This is solved by writing 16 as a power of 4 and equating exponents.
$\ 4^{2}=4^{3x-7}$
2 = 3x - 7 . . . . . equate exponents
9 = 3x . . . . . add 7
3 = x . . . . . divide by 3

The solution is x = 3.

You might be interested in

A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for

ira [324]

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

= 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

5 0

3 years ago

BRAINLIEST iF correct

mezya [45]

Answer:

See below.

Step-by-step explanation:

There are 28 things in the jar, of which 7 are watermelon.

You pick one at random, the chance it is NOT watermelon would be 21/28.

This is equal to 75% and 3/4

4 0

3 years ago

Read 2 more answers

Nine years less than 5 times the age a

hichkok12 [17]

5a-9
I think this is the answer I am a little unsure of what the question is.

4 0

3 years ago

Read 2 more answers

You take a quiz with 6 multiple choice questions. After you studied your estimated that you would have about an 80 % chance of g

Arada [10]

Answer:

1.15%

Step-by-step explanation:

To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:

$p^{m}$

$0.8^{20} = 1.15\%$

This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

$\binom{n}{k} * p^{k} * (1-p)^{n-k}$

n is the number of events

k is the number of success

p is the probability of each individual event

$\binom{n}{k}$ is the binomial coefficient

the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

$\binom{n}{k} = \frac{n!}{k!(n-k)!}$

therefore, for this questions we have:

$\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%$

4 0

3 years ago

The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of value

pishuonlain [190]

To build the table you just have to give values to t and then calculate the corresponding c a per the model.

If the model is c = 5.5 t this is the table

t    c
   5.5 t

0 5.5(0) = 0

1 5.5(1) = 5.5

2      5.5(2) = 11.0

3 5.5(3) = 16.5

4 5.5(4) = 22.0

5 5.5(5) = 27.5

The viables solutions are all where t is equal or greater than 0. You can even use decimal values for t. You cannot use negative values for t.

5 0

3 years ago

Read 2 more answers