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3 years ago

Please help me answer number 38.

Mathematics

1 answer:

julia-pushkina [17]3 years ago

5 0

The request is to find the intersection of the two sets. By definition, the intersection of two sets is another set, composed by all the elements appearing in both sets.

In other words, $P\cap Q$ is the set of all elements that P and Q have in common.

P contains all the numbers from 0 to 9, V contains all the odd numbers between 1 and 19. So, their intersection will be the odd numbers between 0 and 9, i.e.

$P\cap Q=\{1, 3, 5, 7, 9\}$

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Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin

Allisa [31]

There are 12 project managers that are employed by Mr. Wells

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

Let us tackle the problem!

$\texttt{ }$

This problem is about Directly Proportional.

There were 8 engineers under every team leader.

$\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}$

$\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}$

$\texttt{ }$

There were 5 project managers for every 50 engineers.

$\texttt{50 engineers} \rightarrow \texttt{5 project managers}$

$\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}$

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

7 0

3 years ago

Pls pls plz plz pls help

Citrus2011 [14]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

5 0

2 years ago

I need heeelllppp please

barxatty [35]

$\frac{ { - 5}^{2} + {10}^{2} }{(2 \times ( - 5) \times 3) + {3}^{3} } = \frac{ - 25 + 100}{ - 30 + 27} = \\ = \frac{75}{ - 3} = - 25$

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (8,-8) and (-5,-8)

Vanyuwa [196]

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

4 0

2 years ago

What multiplies to -12 but added together equals -10

Airida [17]

Let the two numbers be x and y, then,
xy = -12 . . . (1)
x + y = -10 . . . (2)
From (2), x = -10 - y . . . (3)
Putting (3) into (1), gives
(-10 - y)y = -12
-10y - y^2 = -12
y^2 + 10y - 12 = 0
$y= \frac{-10\pm \sqrt{10^2-(4\times(-12))} }{2} = \frac{-10\pm \sqrt{148} }{2} = \frac{-10\pm 2\sqrt{37} }{2} = -5\pm\sqrt{37}$

Therefore, the two numbers are $-5+\sqrt{37}$ and $-5-\sqrt{37}$

4 0

3 years ago