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3 years ago

Subtract and simplify10/w -1/3

Mathematics

1 answer:

ELEN [110]3 years ago

3 0

$\frac{10}{w}- \frac{1}{3} = \frac{10\cdot 3}{w\cdot 3} - \frac{1\cdot w}{3\cdot w} = \frac{30-w}{3w}$

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Please solve with explanation 30 points

kumpel [21]

Answer:

Dwow haha salamat sa poiñts idolo stay safe hakd9g

5 0

2 years ago

Write an explicit formula for An, the nth term of the sequence 7, -42, 252, ....

erik [133]

Answer:

$A_n = 7(-6)^{n-1}$

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7 or 252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

$a_n = a_1(r)^{n-1}$

--> r means the constant (or common ratio) that is being multiplied.

--> $a_1$ means the first term

--> $a_n$ means the "nth" numbered term (so $a_3$ is the 3rd term, $a_{10}$ is the 10th term and so on).

--> $n-1$ is just the "n" in $a_n$ minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> $r = -6$ (Since we got -6 as the constant/common ratio).

--> $a_1 = 7$ (Since 7 is the 1st term)

This means that our formula would be --> $A_n = 7(-6)^{n-1}$

Hope you understood and have a nice day!! :D

8 0

3 years ago

Find the greatest common factor 28 and 12 use the GCF to factor 28+12.

fgiga [73]

Answer:

(a) 4

(b) 4 * (7+3)

Step-by-step explanation:

(a) Let's first start by prime factorizing (finding the prime factors) 28 and 12:

12: 2*2*3

28: 2*2*7

We can see here they both share a common factor of 2*2, which is 4, therefore the GCF is 4.

(b) Factor a 4 out from the equation:

$4*(\frac{28}{4}+\frac{12}{4})$

This gives us:

4 * (7+3)

5 0

2 years ago

Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their fi

Studentka2010 [4]

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

8 0

3 years ago

Disregarding wind resistance the distance a body falls from rest varies directly as th squares of the time it falls if a skydive

Firdavs [7]

Answer:

The skydiver will fall 1600 ft in 10 seconds.

Step-by-step explanation:

Distance a body falls from rest varies directly as the squares of the time it falls

Let distance = s

time = t

Therefore , s = k $\times t^{2}$

Given, the body falls 64 ft in 2 seconds.

Substituting in above equation,

64 = k $\times (2)^{2}$

64 = k $\times (4)$

k = $\frac{64}{4}$

k = 16 ft/ $s^{2}$

We have to find how much he will fall in 10 seconds.

s = k $\times t^{2}$

s = $16 \times 10^{2}$

s = $16 \times 100$

s = 1600 ft

3 0

3 years ago