Which of the following is equivalent to −4(2x + 3y) − 6(3q + 7p)?

−8x + 12y − 18q + 42p
−8x − 12y − 18q − 42p
−8x + 3y − 18q + 7p
−24(2x + 3y − 3q + 7p)

Answer:

Hello,

x=5, y=-3, t=-17, z=-43

Step-by-step explanation:

[tex]\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}^{-1}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}\\[/tex]

[tex]\\\\\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}2 & 1 \\3 & 1 \end{bmatrix}*\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}-1 & 1 \\3 & 2 \end{bmatrix}*\begin{bmatrix}7 &35 \\12 & 3t \end{bmatrix}\\\\\\\begin{bmatrix}x & 2z \\y & 3 \end{bmatrix}=\begin{bmatrix}5 & -35+3t \\-3 & 105+6t\end{bmatrix}\\\\[/tex]

x=5

y=-3

t=-17

z=-43

17716.09385 is sum of multiplication .

What does multiply mean?

= 2.53 x 1019 + 3.197 x 1017 + 2.56197 x 1019 + 3.2223 x 1019 + 2.56197 x 1036 + 3.2223 x 1036

= 2578.07 + 3251.349 + 2610.64743 + 3283.5237 + 2654.20092 + 3338.3028

= 17716.09385

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Answer:

180

Step-by-step explanation:

Because its true

A square is a rectangle with equal lengths on each side. The two squares with the same length side will be lengths scaled copies of one another.

A rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).

As it is known that two squares are always similar to each other which is because all the angles of a square are always 90°. Therefore, any two squares are always similar to each other.

Now, as it is given that the two square have the same length sides. Therefore, the two squares with the same length side will be lengths scaled copies of one another. This is because all the sides are equal and all the angles are equal.

Hence, the two squares with the same length side will be lengths scaled copies of one another.

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The value of m is 3

The expression can be written as follows

The sum of 5 times a number m and 12 is equal to 27

5m + 12 = 27

collect the like terms

5m= 27-12

5m= 15

Divide both sides by the coefficient of m which is 5

5m/5 = 15/5

m= 3

Hence the value of m is 3

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Answer:Mia is closer because her distance to the chest is opposite the smaller angle. Nigel is closer because his distance from the chest is 100 meters

Step-by-step explanation:

Answer:

B. Mia is closer because her distance to the chest is opposite the smaller angle.

Step-by-step explanation:

The answer is

B. Mia is closer because her distance to the chest is opposite the smaller angle.

Your welcome <3

The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².

Volume is defined as the amount of three-dimensional space enclosed by a closed surface.

Now, as per the given question;

First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:

15×42 gal = 630 gal

This volume must be converted to square meters:

V = 630 gal × (0.00379 m³/ gal

V = 2.4 m³

The thickness (height) of a oil film in meters is required:

h = 250 nm × (m/10⁻⁹nm)

h = 2.5 × 10⁻⁷m

The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.

A  = V/h

A  = 2.4 m³/2.5 × 10⁻⁷m

A = 9.6 × 10⁶ m²

Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².

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So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]

side UV:

[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]

side VW:

[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]

side UW:

[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]

So the perimeter is:

P=UV+VW+UW

[tex]$P=5+8+9.434=22.434$[/tex]

So the perimeter is: 22.434

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Answer:

-5

Step-by-step explanation:

-5 is the only integer. The other numbers have a decimal that repeats forever.

All of the statements are True when the expressions are evaluated using appropriate illustrations.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

Answer:

The equivalent fraction of 6/9 is 4/6

Answer:

Okie Dokie

Step-by-step explanation:

short to long

3.05 < 3.09 < 3.5 < 3.75 < 3.9

The shortest distance is  3.05 miles, while the Longest is  3.9 miles.

Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.

Arranging the given distances from shortest to longest  -

3.05 miles

3.09 miles

3.5 miles

3.75 miles

3.9 miles

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Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.

So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.

[tex]\sqrt{400}[/tex] = 20.

20 is your answer.

Answer: it is linear

Step-by-step explanation:

y = 10^2

y = 100

horizontal line going through y = 100

Answers:

========================================================

Explanation:

The equation is y = 10x+550

If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.

On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.

It might be helpful to compare y = mx+b to y = 10x+550

m = 10 = slope = how things change

b = 550 = y intercept = starting point

----------

Example:

Let's say you rented the barn for 2 hours.

That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550

total = 20+550 = 570

This is what the steps could look like when plugging in x = 2

y = 10x+550

y = 10*2 + 550

y = 20 + 550

y = 570

Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.

Answer:

C

Step-by-step explanation:

The required coordinates are (6, 5).

Let A denotes the point (4, 3), and B denotes the point (9, 8).

Let C denote the point which divides the line segment AB in the ratio of 2:3.

The distance between A(4, 3) and B(9, 8) is given by

AB = √{(x₂ - x₁)² + (y₂ -y₁)²}

= √{(9 - 4)² + (8 - 3)²

= √{5² + 5²}

= √(2×5²)

= 5√2

We have AC + BC = AB

AC and BC are in the ratio 2:3.

Therefore 2x + 3x = AB

⇒5x = 5√2

⇒x = √2.

Therefore, AC = 2√2 and BC = 3√2.

Using the distance formula,

AC = √{(x - 4)² + (y - 3)²}

⇒ 2√2 = √{(x - 4)² + (y - 3)²}

⇒ √(2² + 2²) = √{(x - 4)² + (y - 3)²} (taking the 2 inside the square root.)

⇒ x - 4 = 2 ⇒ x = 6

⇒ y - 3 = 2 ⇒  y = 5.

Therefore the required coordinates are (6, 5).

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The equation solved for e gives e = rE/(R + r)

From the question, we are to solve for e. That is, we are to make e the subject of the given formula.

The given formula is

E/e = (R + r)/r

First cross multiply

E/e = (R + r)/r

e(R + r) = rE

Now, divide both sides of the equation by (R + r)

That is,

e(R + r)/ (R + r) = rE/ (R + r)

Thus,

e = rE/ (R + r)

Hence, the equation solved for e gives e = rE/(R + r)

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Answer:

x=15

Step-by-step explanation:

-x+5

-15+5

= 10

Answer:

4c + 35

Step-by-step explanation:

What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35

[tex]-7,5 + 4,2 = -3.3[/tex]

[tex]-0,9 \cdot 2,7 = -2.43[/tex]

Answer:

I plugged in your equation into Desmos and here are 5 points

Step-by-step explanation:

(-6,7)

(-5,6)

(-4,5)

(-3,6)

(-2,7)

Answer:

first number: 0

fourth number: 15

ninth number: 40

The amount of cheese in each plate = 1.5x

There are 30 bags of shredded cheese.

Let 'x' be the quantity of cheese in each bag. Then,  

The total quantity of cheese in 30 bags = 30x

Number of plates = 20 plates

We need to determine the quantity of cheese put on each plate so that each plate has the same amount of shredded cheese.

For this we just need to divide the total amount of shredded cheese by the number of plates.

The equal amount of cheese in each of 20 plates = 30x/20

                                                                                   = 3x/2

                                                                                   = 1.5x

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Answer:

4, 7

Step-by-step explanation:

x = y + 3

y² + 12 = 4x

using the first equation in the second

y² + 12 = 4(y + 3) = 4y + 12

y² = 4y

y = 4

x = y + 3 = 4 + 3 = 7

Answer:

6in lenght

Step-by-step explanation:

cause 30in square = 5 multiplied by 6 = 30

The vector function is, r(t) =  [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, [tex]z=9x^2+y^2[/tex]

Second equation is of the parabolic cylinder, [tex]y=2x^2[/tex]

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder,  [tex]y=2t^2[/tex].

Now substituting x and y into the equation of the paraboloid, we get,

[tex]z=9t^2+(2t^2)^2 = 9t^2+4t^4[/tex]

Now the vector function, r(t) = <x, y, z>

So r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

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Answer:

Step-by-step explanation:

it should be Venus

hmmm. im thinking its venus

The maximum number of bracelets Mr.Gonzales could buy is 3

The given parameters are:

Budget = $42.50

Shirt = $29

Bracelet = $4.50 each

Represent the number of bracelets with x

So, we have

Shirt + Bracelet * x = Budget

This gives

29 + 4.50x = 42.50

Evaluate the like terms

4.50x = 13.5

Divide both sides b 4.50

x = 3

Hence, the maximum number of bracelets Mr.Gonzales could buy is 3

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Answer:

64 Feet.

Step-by-step explanation:

First find the expression that describes the distance at t seconds. Which will be 16t^2

Now the distance is t=2.

So...

=16t^2

=16(2)^2

=64.