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3 years ago

Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)

Mathematics

1 answer:

dsp733 years ago

7 0

Answer:

a) $\log 52$

b) $\log_57$

Step-by-step explanation:

Use logarithm properties:

$\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}$

Then

a) $\log 13+\log 4=\log 13\cdot 4=\log 52$

b) $\log_514-\log _52=\log _5\dfrac{14}{2}=\log _57$

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7x to the power of 2 is a what is it<br>a) monomial<br>b) binomial<br>c) Trinomial

Sedaia [141]

You can use the prefixes to figure this out:
Mono: one
Bi: two
Tri: three

So, because there is only one term, it is a monomial.

4 0

3 years ago

Mr. Falcone pizza shop offers three sizes of pizza. The small medium and large pizzas have diameters of 8 inches 10 inches 12 in

ollegr [7]

<h2>The circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.</h2>

Step-by-step explanation:

Given,

The diameter of small pizza = 8 inches,

The diameter of medium pizza = 10 inches and

The diameter of large pizza (d) = 11 inches

To find, the circumference of each size of pizza = ?

We know that,

The circumference of the circle = $2\pi r= \pi d$

∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches

The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches

Also,

The circumference of large size of pizza = 3.14 × 12 = 37.68 inches

Thus, the circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.

You can also refer:

https://brainly.ph/question/1009095

5 0

3 years ago

Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number. Let B be the event you will

11111nata11111 [884]

Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

set(Even number: A) = {2, 4, 6} = 3 outcomes

set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

P(A) = 3/6 = 0.5

P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

P ( A & B ) = P(A)*P(B)

set (A&B) = {2} = 1 outcome

P(A&B) = 1/6

1 / 6 = 0.5*0.5

1/6 = 0.25 ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

P(A&B) = 0

P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0

3 years ago

Please help with maths (3)

sergeinik [125]

The answer is 42

first change the numbers from scientific notations into numbers.

1.47*10^7= 14700000

3.5*10^5= 350000

now divide the number of sweets by the number of packets. the quotient is the answer

14700000/350000= 42

good luck

5 0

3 years ago

If y varies directly as x and y=288 when x=16 determine the value of y when x-13

Ray Of Light [21]

Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x

y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234

5 0

3 years ago