The slope of the line passing through the points (-2,6) and (4,6) is

The equation to determine the volume of the rectangular box is:

V = 6 * (5 + 3x)

Given that the area of the large rectangular package is 6 square units and its height is 3x units more than the small box,

To determine the volume of the large rectangular package, multiply its area by its height.

Volume of the large rectangular package = Area of the large rectangular package * Height of the large rectangular package

The area of the large rectangular package is given as 6 square units, so we substitute it into the equation:

Volume of the large rectangular package = 6 * Height of the large rectangular package

Now, the height of the large rectangular package is 3x units more than the small box. The height of the small box is 5 units, so we add 3x to it:

Height of the large rectangular package = 5 + 3x

Substituting this into the equation:

Volume of the large rectangular package = 6 * (5 + 3x)

Hence, the equation to determine the volume of the large rectangular package is: Volume = 6 * (5 + 3x)

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The expression −5 ≤ x ≤ 34 is an inequality expression

The expression is given as:

−5 ≤ x ≤ 34

This can be split as follows:

−5 ≤ x and x ≤ 34

The inequalities used in the expression are less than or equal to.

This means that the endpoints of the inequality are inclusive of the values of x.

So, the value of x starts from -5, and it ends at 34

See attachment for the number line

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Answer: A & C

Step-by-step explanation: 3 + 4 = 7     5 -3 = 2

The equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

Given that you want to determine how quickly messages can spread on a social media website, and on the first day, you create a message that is shared with 2 people, and on the second day, each of those people share it with 3 people, and on the third day, everyone who received the message shares it with 3 more people, and so on, to write an equation that represents the nth term of the geometric sequence, the following calculation must be made:

Therefore, the equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

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Anwser: its the secend answer

Step-by-step explanation: have had the smae question

At an elevation of 500m, the sound will travel fastest.

Elevation        Temp

  500m           11.8°C

 1000m           8.5°C

 1500m           5.3°C

 2000m          2.0°C

We know that air molecules at higher temperatures have more energy and can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the given temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

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Answer:

Step-by-step explanation:

Answer: 0.1 goes in the blank because the hundredths is improper

Step-by-step explanation:

The slope is -7/2

Y = mx + b

m stands for the slope (numerical coefficient for x)

Answer:

area of parallelogram= 59.39 cm square

Answer:

70

Step-by-step explanation:

20% of 350 =

= 20% * 350

= 0.20 * 350

= 70

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

Answer:

x = 1

Step-by-step explanation:

6(x - 2) = 3 - 9x

We want to find x so that LHS = RHS/

6x - 12 = 3 - 9x

6x + 9x = 3 + 12

15x = 15

x = 1

Not 100% sure!

The value of x that makes the equation true is x = 1.

An expression in mathematics is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value or quantity.

We can solve for x by simplifying the equation using the distributive property and combining like terms:

6(x - 2) = 3 - 9x

6x - 12 = 3 - 9x (distribute 6)

6x + 9x = 3 + 12 (add 9x and 12 to both sides)

15x = 15 (combine like terms)

x = 1 (divide both sides by 15)

Therefore, the value of x that makes the equation true is x = 1.

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Answer:

its the one at about (8, 8000)

Step-by-step explanation:

If you look at all of the points, you can see the price constantly goes done as the car gets older. The only point away from the constant pattern is the one that is 8 years old, costing about 8000.

Answer:

Dean was at school for 30 minutes more than Darren.

Step-by-step explanation:

8:15-3:15 is 7 hours. 8:00-2:30 is 6 hours 30 minutes. The difference between the two is half an hour.

Hope this helps!!

Answer:

Step-by-step explanation:

i) If p is inversely proportional to q³, this is expressed as p ∝ q³

p = k/q³ where q is the proportionality constant.

Given p = 27 and q = 3

Substitute this values into the formula

27 = k/(3)³

27 = k/27

k = 27×27

k = 729

Substitute k = 1 into the formula

p = 729/(q)³

Hence the formula which expresses p in terms of q is p = 729/q³

ii) If r is directly proportional to q, it is expressed as r ∝ q

r = kq

If r = 10 and q = 2

Substitute

10 = 2k

k = 10/2

k = 5

The equation becomes

r = 5q... 1

From 1) p = 729/q³

q³ = 729/p

q = 9/³√p

q = 9/p^1/3....2

Substitute equation 2 into 1

r = 5(9/p^1/3)

r = 45p^-1/3

Compare r = 45p^-1/3 with r = kp^n

k = 45 and n = -1/3

Answer:

$339

Step-by-step explanation:

Answer:

A) [tex]9 *l=54[/tex]

Step-by-step explanation:

The area of a rectangle is w*l=A, where w is the width and l is the length.

In this question, we are given 2 of the variables. We are told that the width is 9 and the area is 54. So, to find the equation that represents this situation, simply plug in the values.

Then, if needed we can find the length of the rectangle. Through the division property of equality, we know that dividing both sides of the equation maintains the equality of the equation. So, we can divide both sides by 9 to isolate the variable.

Answer:

3

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

The domain of the provide function where the function is defined is x less than the number three.

Domain of a function is the set of all the possible input values which are valid for that function.

The function given in the problem is,

[tex]y=\ln\left(\dfrac{-x+3}{1}\right)[/tex]

The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.

Thus, the function should be greater than zero as,

[tex]\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3[/tex]

Change the sign of both side, by changing the inequality,

[tex]x < 3[/tex]

Thus, the domain of the provide function where the function is defined is x less than the number three.

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Answer:

x<3

Step-by-step explanation:

edge 2022

Answer:

12×7×4+1=337

Step-by-step explanation:

if u did anything else it would be smaller and u can't use all multiplication because 12×7×4×1=336

Then all factors of the function f(x) = x³ – 2x² – 68x – 120 is (x + 2), (x + 6), and (x – 10).

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

If f(–2) = 0, that mean one root is –2.

The function f(x) = x³ – 2x² – 68x – 120

We have the one factor is (x + 2)

Then the function can be written as

f(x) = (x + 2)(x² – 4x – 60)

f(x) = (x + 2)(x² – 10x + 6x – 60)

f(x) = (x + 2)[(x(x – 10) + 6(x – 10)]

f(x) = (x + 2)(x – 10)(x + 6)

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Answer:

C

Step-by-step explanation:

edge2022

Answer:

easy

Step-by-step explanation:

65=26=13x

you should be able to solve it from there, its legit just subtracting then dividing.

Answer:

14

Step-by-step explanation:

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:

14

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Given equation:

[tex]3(3y - 15) = 0[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3(3y - 15)}{3} = \dfrac{0}{3}[/tex]

[tex]\implies 3y-15 = 0[/tex]

Add 15 to both sides:

[tex]\implies 3y-15 +15= 0+15[/tex]

[tex]\implies 3y=15[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3y}{3}=\dfrac{15}{3}[/tex]

[tex]\implies y=5[/tex]

Answer:

The value of y is 5.

Step-by-step explanation:

First, we will distribute 3 on (3y - 15) This means 3(3y) - 3(15) = 0. Now, we will multiply 3 by what is inside the parentheses for each value. This gives us 9y - 45 = 0. After that, we will add 45 to both sides, which leaves us with 9y = 45. Finally, we will divide 45 by 9 to give us the y value, 5. I hope this helped (:

Both areas of the circle (cross section for cone) and the square(cross section for pyramid) was found using the

No Images were provided in this question, however, the cross section of a cone and a pyramid will result to the shapes of a circle and a square respectively when we slice them horizontally

Hence the area of the cross section of the cone can be estimated using the expression for the area of a circle

Area of Circle = πr^2

Also,  the area of the cross section of the pyramid can be estimated using the expression for the area of a square

Area of Square = Length * Width

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Answer:

6 candy tarts

Step-by-step explanation:

Based on Leila's observations, we would expect all boxes of candy tarts to have 1/7 grape-flavoured ones. If we have a box of 40, we can find the expected number of grape flavoured nady tarts by multiplying 40 and 1/7.

40 × 1/7 = 5.714285714

You can round this to 6 candy tarts

Answer:

495cm

Step-by-step explanation:

so for a second forget about the already 12 meters. Multiply 15 by the amount of months, in this case 40 so 12x40= 480. Then add the 15, so its 495cm tall