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zaharov [31]
2 years ago
9

Good Evening

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

no hagas nada gbgbtbgkfhyrjc6bf

You might be interested in
If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime
Yuri [45]

Answer:

<em>If statement(1) holds true, it is correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em></em>

Step-by-step explanation:

Given two positive integers r and s.

To check whether \small \frac{r}{s} is an integer:

Condition (1):

Every factor of s is also a factor of r.

r \geq s

Let us consider an example:

s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2

\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10

which is an integer.

Actually, in this situation s is a factor of r.

Condition 2:

Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

r = 2^2\cdot 5\\s =2^4\cdot 5

\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}

which is not an integer.

So, the answer is:

<em>If statement(1) holds true, it is correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em>\small \frac{r}{s}<em> is an integer.</em>

<em></em>

8 0
3 years ago
60 pts! <br><br>2x + 34 = 4(x + 5)<br><br>solve the equation for x. ​
erma4kov [3.2K]

Answer:

x=7

Step-by-step explanation:

expand 4(x+5): 4x+20

2x+34=4x+20

subtract 34 from both sides

2x+34-34=4x+20-34

2x=4x-14

subtract 4x from both sides

2x-4x=4x-14-4x

-2x=-14

divide both sides by -2

-2x/-2=-14/-2

x=7

7 0
3 years ago
10
motikmotik

Answer:

9) x = 89°

10) x = 118°

11) x = 145°

12) x = 40°

Step-by-step explanation:

9) 180-91 = 89

10) x = 118° because it is alternate interior to 118

11) x-30 = 115,     x = 145

12) 4x-15 = 145,    4x = 160,   x = 40

5 0
2 years ago
Please answer as soon as possible!!
harkovskaia [24]

Answer:

2.29

Step-by-step explanation:

First determine the square root of 17.8

√17.8 = 4.22

second, determine the value of 1.3^{2.5} = 1.93

subtract 1.93 from 4.22

4.22 - 1.93 = 2.29

6 0
3 years ago
Please help me!!! Will get brainliest!!!
ratelena [41]
1. You already did it.
2. Table
3. t (years since 1990)
4. n (# of cigarettes sold)
5. (t, n)
6. You can see the distribution of the data pretty neatly. There are also many more advantages including it's easier to calculate standard deviation, easier to see the mean, mode and median, and it's also much easier to just tell the extrema of the dataset by just looking at the scattergram.
5 0
3 years ago
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