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3 years ago

Can some explain steps

Mathematics

2 answers:

dalvyx [7]3 years ago

8 0

Answer: r = 9

Given:

$16=10+\sqrt{3r+27}$

Step-by-step explanation:

$16-10=\sqrt{3r+27}$

$6=\sqrt{3r+27}$

Taking square on bothsides, we get

$36=3r+27$

$3r=36-27$

$r=\frac{9}{3}$

$r=3$

Mashutka [201]3 years ago

5 0

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

= 10 + √36 = 16

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Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13

Karolina [17]

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

First multiply 2 with terms inside the matrix

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now adding matrices on left side

$\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now both sides are equal , so we can say that

$-2x+10=-8 \ and \ 1+2y=-13$

Solving equations and finding values of x and y

Finding value of x

$-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9$

Finding value of y

$1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7$

So, value of x=9 and value of y= -7

4 0

3 years ago

The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F

Ber [7]

Answer:

599/711

Step-by-step explanation:

Band Sports Debate Total

Male 105 320 7 432

Female 105 160 14 279

Total 210 480 21 711

P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

P(female) + P (sports) - (female and sports)

female/total + sports/total - female sports/ total

279/711 + 480/711 - 160/711

599/711

6 0

3 years ago

Sketch each line and find the slop and Y-intercept

Anon25 [30]

Lol where the problem

6 0

4 years ago

Is 4/4 a rational number

bearhunter [10]

Answer:

Yes,it is in the form of p/q even after simplify

3 0

3 years ago

10 have volunteered to help with the preparations for a party. How many ways can Susan assign someone to buy beverages, someone

Lesechka [4]

Answer:

The answer is 720 ways.

Step-by-step explanation:

Total friends who volunteered = 10

Total number of jobs that have to be done = 3

Here order matters, so it is a permutation question.

We can use the formula nPr.

= $\frac{10!}{7!}$

= 720 ways.

The second way to solve this is:

Susan can choose the first person to do a job in 10 ways

Then the second job can be done in 9 ways and the third in 8 ways.

Total becomes = $10\times9\times8=720$ ways

5 0

4 years ago

Can some explain steps​

Can some explain steps