how do you find the surface area of a rectangular prism ? ​

Answer:

the answer is A

Step-by-step explanation: because the way you work out problems with parenthesis is Parenthesis Exponents Multiplication Division Adding Subtraction and what ever id in the parenthesis comes first

A is the correct answer as you should always do the expression that’s in parentheses first

Answer: i think it’s the last one

Step-by-step explanation:

[tex]\bf \stackrel{~~ solutions~\hfill }{ \begin{cases} x=7\implies &x-7=0\\ \cline{1-2} x=-5\implies &x+5=0 \end{cases}}\qquad \implies \stackrel{\textit{factored form}}{y=(x-7)(x+5)}[/tex]

Answer:

y = (x - 7)(x + 5)

Step-by-step explanation:

Given the solutions are x = 7 and x = - 5 then the factors are

(x - 7) and (x + 5)

The quadratic equation is the product of the factors

(x - 7)(x + 5) = 0 ← in factored form

Answer:

Inverse property

Step-by-step explanation:

The definition of the inverse property is to add to get a result of zero. Since we are adding the inverse of each term to get a result of zero each time, we are using the inverse property.

Answer:

Correct symbol is = .

Step-by-step explanation:

Given statement is : 13?13

Now we need to find about which of the symbols correctly relates the two numbers 13?13.

When we compare two numbers then there are only three cases possible.

First number is less than ( < ) second number.

First number is greater than ( > ) second number.

First number is equal to ( = ) the second number.

we see that both numbers 13 and 13 are equal so we will use = symbol.

Hence correct symbol is = .

Final answer:

The correct symbol to relate two identical numbers, such as 13 and 13, is the equals to (=) symbol.

Explanation:

The question asks which symbols correctly relate the two numbers 13 and 13. In mathematics, numbers can be compared using different symbols to show their relationship. These symbols include equals to (=), greater than (>), less than (<), greater than or equal to (>=), and less than or equal to (<=). When two numbers are identical, the correct symbol to relate them is the equals to (=) symbol because they have the same value.

The sum of the numbers is 156.

The sum of a set of numbers can be calculated by multiplying the mean by the total number of elements in the set. In this case, the mean is 13 and the total number of elements is 12. Therefore, the sum of the numbers is 13 multiplied by 12, which is 156.

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To find the sum of 12 numbers with a mean of 13, we multiply the mean by the number of numbers, resulting in a sum of 156.

If the mean of a set of 12 numbers is 13, we can find the sum of the numbers using the formula for the mean.

The formula for the mean  is : Mean = Sum of Numbers / Number of Numbers

Given:

Mean = 13

Number of Numbers = 12

We need to find the sum of the numbers:

Sum = Mean x Number of Numbers

Substitute the given values:

Sum = 13 x 12

Sum = 156

This means the sum of the 12 numbers is 156.

Answer:

192

Step-by-step explanation:

32 days would be 80×32=2560

and 2560-2368= 192

So if the humpback were to travel for 32 days it would travel 192 miles more than the gray whale.

Answer:

√7 ≈ 2.646

Step-by-step explanation:

The triangle apparently has two sides of length 4 and a third side of length 6. The altitude of the triangle will divide the long side in half, making that half one leg of the right triangle with hypotenuse 4.

The altitude of interest is then the length of the other leg:

√(4² -3²) = √7 ≈ 2.646

Answer:

Ten minutes ago, the diver was  450  feet below sea level.

Step-by-step explanation:

Since the diver is being pulled up, measuring his movement for the past  10 minutes requires that we use  −25  for the movement over those  10  minutes. So, his depth  10 minutes ago is given by the expression

−200−25(10)

−200

−250

−450

So,  10  minutes ago, the diver was  450 feet below sea level.

Answer:

The diver 450 feet deep into sea 10 minutes ago.

Step-by-step explanation:

At present position ,depth at which diver was = 200 feet

Rate at which diver is pulled up = 25 ft/min

Let the depth of the diver 10 minutes ago be x

The depth of the diver 10 minutes ago will be sum of present position and distance covered by exploring ship by pulling diver in a 10 minutes.

x = 200 + 25ft/min × 10 = 200 ft + 250 ft = 450 ft

The diver 450 feet deep into sea 10 minutes ago.

Answer:

[tex]160\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces of the net

so

[tex]SA=2(2*4)+2(12*2)+2(12*4)\\ \\SA=16+48+96\\ \\SA=160\ m^{2}[/tex]

Answer:

160 m2

Step-by-step explanation:

Answer:

x≥9

Step-by-step explanation:

First you need to take 3 from both sides.

5x + 3 -3 ≥ 48 -3 which is 5x ≥ 45

Then you need to divide both sides by 5.

5x÷5 ≥ 45÷5 with gives the answer x ≥ 9

The solution to the given inequality (5x+3 ≥48) is x ≥ 9

To solve an equation or an inequality, we will determine the value of the variable in the equation or inequality.

From the question,  

To solve the given inequality 5x+3 ≥48

We will determine the value of the variable x, that satisfies the inequality.

Now, to do this

First, subtract 3 from both sides, that is

[tex]5x+3-3 \geq 48-3[/tex]

We get

[tex]5x \geq 45[/tex]

Now, divide both sides by 5

[tex]\frac{5x}{5} \geq \frac{45}{5}[/tex]

[tex]x\geq 9[/tex]

Hence, the solution to the given inequality is x ≥ 9

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Answer:

2112 Steps

Step-by-step explanation:

It would take her 2112 step to walk for 1 mile

Answer:

12.5 cm

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

5 cm = 2 km

? cm = 5 km

5 cm = 2 km

( ÷ 2 )

2.5 cm = 1 km

( × 5 )

12.5 cm = 5 km

Answer:

Step-by-step explanation:

85=2x(x^2+3)(2x+5)

85=2x(2x^3+5x^2+6x+15)

85=4x^4+10x^3+12x^2+30x

4x^4+10x^3+12x^2+30x-85=0

2x^2(2x^2+5x+6)+30x-85=0

shoot, this isn't possible with quadratic, maybe you can get somewhere from here

Answer:

Step-by-step explanation:

If the price is linear, then the slope between each pair of points must be the same.

m = Δy/Δx

m = (150 - 70) / (5 - 1) = 20

m = (450 - 150) / (20 - 5) = 20

m = (1050 - 450) / (50 - 20) = 20

So the equation is indeed linear.  It has a slope of 20 and y-intercept of 50.

p = 20n + 50

Answer:

[tex]y=\frac{3}{2}x+\frac{7}{2}[/tex]

Step-by-step explanation:

Slope-intercept form is given by  y = mx + b

We need to re-arrange the equation given to have y to the left side of the equal sign (in other words, solve for y). Steps are shown below:

[tex]-3x+2y=7\\2y=3x+7\\y=\frac{3x+7}{2}\\y=\frac{3x}{2}+\frac{7}{2}\\y=\frac{3}{2}x+\frac{7}{2}[/tex]

the last answer is correct.

For this case we have that the line equation of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

We have the equation:

[tex]-3x + 2y = 7[/tex]

By adding 3x to both sides of the equation we have:

[tex]-3x + 3x + 2y = 7 + 3x\\2y = 3x + 7[/tex]

Dividing between 2 on both sides of the equation:

[tex]\frac {2y} {2} = \frac {3x} {2} + \frac {7} {2}\\y = \frac {3x} {2} + \frac {7} {2}[/tex]

ANswer:

Option D

Answer:40

Divide 120 by 3

so lets simplify this equation to do it mentally

turn 120=12

now  12÷ 3=4

the zero from 120 will be added to 4

because of the tens place it becomes 40

hope this helps! if so please leave a brainliest.

The value of x is 5.

Given:

Recall:

Thus,

The following equation can be created to solve for the value of x:

[tex]m\angle R + m\angle M = 90[/tex]

[tex]55 + 5x+10 = 90\\[/tex]

[tex]5x + 65 = 90[/tex]

[tex]5x = 90 - 65\\\\5x = 25[/tex]

[tex]x = 5[/tex]

Therefore, the value of x is 5

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Answer:

8.6 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(1, 6) and (x₂, y₂ ) = C(8,1)

d = [tex]\sqrt{(8-1)^2+(1-6)^2}[/tex]

  = [tex]\sqrt{7^2+(-5)^2}[/tex]

  = [tex]\sqrt{49+25}[/tex]

  = [tex]\sqrt{74}[/tex] ≈ 8.6

Answer:

Step-by-step explanation:

=10y - 5 = 3y - 12

=7y - 5 = -12

=7y = -7

y = 1

Answer:

y = -1

Step-by-step explanation:

to solve this equation, you would solve for y by isolating y on one side of the equation

5(2y - 1) = 3(y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

5(2y - 1)

5 x 2y = 10y

5 x - 1 = -5

= 10y - 5

3(y - 4)

3 x y = 3y

3 x -4 = -12

= 3y - 12

we get the new equation:

10y - 5 = 3y - 12 < add 12 to both sides to eliminate -12 from the right side

+ 12              + 12

10y + 7 = 3y < subtract 10y from both sides

-10y        -10y

7 = -7y < divide both sides by -7 to isolate y

7/-7 = -1

-7y/-7 = y

-1 = y

our solution to the equation is y = -1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

CHECK

5(2y - 1) = 3(y - 4) when y = -1

5(2(-1) - 1) = 3((-1)- 4)

5(-2 - 1) = 3( -1 - 4)

5(-3) = 3(-5)

-15 = -15

both sides check out so y = -1 is a solution to the equation

Answer:

I believe it is 11.5 but I’m not 100% sure

Step-by-step explanation:

Your answer Would be c

Your answer will be C

Answer:

2, or any negative number

Step-by-step explanation:

For the first one x=2

Answer:

11,400.0

Step-by-step explanation:

There needs to be 40 employees per every 3 supervisors, so this means multiplication, or division, but I went with the multiplication route.

285 x 40 = 11,400.

11,400 / 40 = 285.

The reason I multiplied 285 by 40 is because the supervisors was the main piece to the puzzle, and was much easier than if it gave you employees first, and that's when you'd divide by 3.

If there's 285 supervisors, you have the full amount of supervisors, now you need employees, so you are free to multiply by 40, since thats how many supervisors are available every 40 employees. I hope this helps.

To solve this problem, we'll first establish the ratio of employees to supervisors as given by the company policy. The policy states that for every 40 employees, there must be 3 supervisors.
To find the number of employees that can be supervised by a single supervisor, we'll divide the number of employees by the number of supervisors in that ratio.
So, for every 3 supervisors, there are 40 employees. We want to know how many employees would be there per 1 supervisor. Thus, we divide 40 (the number of employees) by 3 (the number of supervisors):
Number of employees per supervisor = \( \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
Now, if there are 285 supervisors at the company, we can find out the total number of employees by multiplying the number of supervisors by the number of employees per supervisor.
Therefore, the total number of employees \( E \) is:
\( E = 285 \text{ supervisors} \times \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
The "supervisors" unit cancels out, and we are left with only the "employees" unit.
Now let's do the multiplication. We divide 40 by 3 and then multiply the result by 285:
\( E = 285 \times \frac{40}{3} \)
Calculating that results in:
\( E = 95 \times 40 \)
\( E = 3800 \)
Thus, the company has 3,800 employees.

Answer:

12 + 12 + 60 + 216 = 300 ft squared

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

First find the area of the rectangle which would be 18 times 12. This will give you 216 for the rectangle. To find the area of the trapezoid you would  add the base of the trapezoid for top and bottom. 10+18. This will give you 28. Next divide it by 2. This will give you 14. Now multiply 14 by the height of the trapezoid which is 6. This will give you 84 for the trapezoid. Now add the rectangle and the trapezoid 84+216=300. The area of the figure is 300.

Answer:

How big is the carpet though.

Step-by-step explanation:

You will just times the square foot by $2.50 to get an answer.

If it is 4 square feet then just go 4 times $2.50 = $10

Height = x

Length = x - 1

Width = 2x + 2

And it's said that height = 4 feet

So, x = 4

Then:

H = 4

L = 4 - 1 = 3

W = 2.4 + 2 = 10

The volume is:

V = 4 . 3 . 10

V = 120 ft³

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

Answer is D

use the factor method to get the answer

x^2-36=0

x^2-6^2=0

(x-6)(x+6)=0

x=6 or -6

Answer:

-2; 16

Step-by-step explanation:

Rewrite the equation [tex]x^2-14x+31=63[/tex] as:

[tex]x^2-14x+31-63=0\\ \\x^2-14x-32=0[/tex]

Now use the quadratic formula:

[tex]D=b^2-4ac\\ \\D=(-14)^2-4\cdot 1\cdot (-32)\ \ [a=1,\ b=-14,\ c=-32]\\ \\D=196+128=324=18^2[/tex]

Now

[tex]x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}\\ \\x_{1,2}=\dfrac{-(-14)\pm\sqrt{18^2}}{2\cdot 1}=\dfrac{14\pm18}{2}=\dfrac{-4}{2},\ \dfrac{32}{2}=-2,\ 16[/tex]

Answer:

x = 16 or x = -2

Step-by-step explanation:

Points to remember

Solution of a quadratic equation  ax² + bx + = 0 is given by

x = [-b ± √(b² - 4ac) ]/2a

To find the solution of equation

We have x² - 14x + 31 = 63

x² - 14x + 31 - 63 = 0

x² - 14x - 32 = 0

a = 1, b = -14 and c = 32

x = [-b ± √(b² - 4ac) ]/2a

 = x = [- -14 ± √((-14)² - 4*1 * (-32)) ]/2*1

 = [14 ± √324]/2

x = -2 or x = 16