All categories

2 years ago

List all the factors of 19. Tell whether 19 is prime or composite.

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

8 0

Answer:

19 is a prime number, thus making the only factors 1, 2, 19. (Not necessary to include 1)

Step-by-step explanation:

You might be interested in

What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? CI) At what angle do the li

Andrews [41]

Answer with explanation:

The equation of any line with slope 'm' and passing through any point $(x_1,y_1)$ is given by

$y=mx+(y_1-mx_1)$

As we know that the general equation of a line with slope 'm' is $y=mx+c$

Comparing with the given equation $y=3x+2$ we can conclude slope of the given line is $m_1=3$

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

$m_1\times m_2=-1$

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

$3\times m_{2}=-1\\\\\therefore m_{2}=\frac{-1}{3}$

Hence using the given and the obtained values the equation of the required line is

$y=-\frac{1}{3}x+(1-\frac{-1}{3}\times 6)}\\\\y=\frac{-x}{3}+3$

Part b)

The angle of intersection between 2 lines with slopes $m_{1},m_2$ is given by

$\theta =tan^{-1}(\frac{m_2-m_1}{1+m_1m_2})$

Comparing the equations of given lines

$y=6x+3\\\\y=2x+3$

with the standard equation we get

$m_{1}=6\\\\m_{2}=2$

Thus the angle of intersection becomes

$\theta =tan^{-1}(\frac{2-6}{1+2\times6})=17.10$

8 0

3 years ago

Ill Give brainleist PLZ help

NNADVOKAT [17]

I think 10 is the answer, correct me

5 0

2 years ago

Read 2 more answers

The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.

zhuklara [117]

Answer:

There is an association because the relative frequencies by row are different.

Step-by-step explanation:

The relative frequencies by row are:

90 perfect t-shirts out of 90+6=96 t-shirts is:

90/96 = 0.9375

6 flawed t-shirts out of 96 t-shirts is:

6/96 = 0.0625

40 perfect sweatshirts out of 40+10=50 sweatshirts is:

40/50 = 0.8

10 flawed sweatshirts out of 50 sweatshirts is:

10/50 = 0.2

The relative frequencies by row are different; this means there is an association.

4 0

3 years ago

Read 2 more answers

An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolu

mario62 [17]

Answer:

Absolute error = 39

Percent Error = 6.10%

Step-by-step explanation:

Actual value = 639 pounds

Observed Value = 600 pounds

The formula to find absolute error is:

Absolute Error = Actual value - Observed Value

= 639 - 600

= 39

The formula to find Percent error is:

Percent Error = (Actual value - Observed Value / Actual value)*100

= (639 - 600/639)*100

= 6.10%

7 0

2 years ago

Read 2 more answers

Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr

vfiekz [6]

$7d+3$ Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

re write the expressions

$\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\ \end{gathered}$

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

$n=7d+3$

therefore , the expression for the number of nickles is

$7d+3$

I hope this helps you

3 0

9 months ago