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Arada [10]
3 years ago
8

4. Write the missing number under each tick mark on the number line. 18 30 42

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0
It’s 42 I think so hope so
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If x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z
Brums [2.3K]

Given:

If x, y, and z are positive integers, then

2^x\times 3^y\times 5^z=54000

To find:

The value of x+y+z.

Solution:

First we need to find the prime factors of 54000.

54000=2\times 2\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5

54000=2^4\times 3^3\times 5^3        ...(i)

We have,

54000=2^x\times 3^y\times 5^z        ...(ii)

On comparing (i) and (ii), we get x=4,y=3,z=3.

The sum of x,y,z is:

x+y+z=4+3+3

x+y+z=10

Therefore, the value of x+y+z is 10.

4 0
3 years ago
Solve each equation: -5(7-8x)-7x=-(3x+1)
7nadin3 [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
If y=2cos(x/2) then d^2y/dx^2 =
Sladkaya [172]
We first need dy/dx.

dy/dx = -2sin(x/2)(1/2)

dy/dx = -sin(x/2)

We now find d^2y/dx^2.

d^2y/dx^2 = -cos(x/2)(1/2)

d^2y/dx^2 = -(1/2)cos(x/2)
5 0
4 years ago
The following are the last 10 run scores Colin got in cricket: 21, 30, 10, 4, 19, 31, 5, 7, 17, 4 a) Work out Colin's mean score
Fed [463]

Answer:

a) 21+30+10+4+19+31+7+17+4=148

148 divided by 10= 14.8

b) 148+17=165

165 divided by 11= 15

Step-by-step explanation:

In math, the mean is the average of a set of numbers. To find the mean of a data set, add up all of the numbers in the set, and then divide that total by the amount of numbers in the set.

5 0
4 years ago
Given the sequence 34, 42, 50,58, 66.. find the recursive formula & explicit formulas
Marizza181 [45]

Sequence: 34, 42, 50, 58, 66

Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:

a_n=a_{n-1}+8

Given that the first term is 34 and the common difference is 8, the explicit formula would be:

a_n=34+(n-1)\cdot8

7 0
1 year ago
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