In the number 906,509 how many times is the 9 in the thousands place in the ones place?

The table represents the function f (x) = 3x-1

Ann [662]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

$f(x) = 3x - 1$

To find the value of a, we substitute x=-5.

$f( - 5) = 3( - 5) - 1 \\ f( - 5) = - 15 - 1 \\ f( - 5) = - 16$

$\therefore \: a = - 16$

To find the value of b, we substitute x=4.

$f(4) =3(4) - 1 \\ f(4) = 12 - 1 \\ f(4) = 11$

To find the value of c, we substitute x=8,

$f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23$

$c = 23$

8 0

3 years ago

A student in Greece discovers a pottery bowl

finlep [7]

Answer:

The age of the pottery bowl to the nearest year is 15606 years.

Step-by-step explanation:

Let the initial amount of C-14 in the bowl i.e. $N_{0} = 100$ and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.

Therefore, from the given equation we can write

$21 = 100 e^{- 0.0001t}$ {Since, k is give to be 0.0001}

⇒ $0.21 = e^{- 0.0001t}$

Now, taking ln on both sides we get

ln 0.21 = - 0.0001t (ln e) {Since, $\ln a^{b} = b \ln a$ }

⇒ - 1.560647 = - 0.0001t {We have ln e = 1}

⇒ t = 15606.47 years ≈ 15606 years

Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)

3 0

3 years ago

The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14

Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

$P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960$

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0

3 years ago

A grocery store sells snacks by weight. A six-ounce bag of mixed nuts costs $3.60. Predict the cost of a two-ounce bag. Please h

nata0808 [166]

since a 2 ounce bag is 1/3 of a 6 ounce bag, I predict it will cost one third of $3.60.

3.60 ÷ 6 = ?

6 0

3 years ago

Read 2 more answers

Select the correct answer. The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are thei

erastova [34]

Answer:

B. Beth's age is 18 years, and Sally's age is 42 years.

Step-by-step explanation:

You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.

Hope this helped ^-^

3 0

3 years ago