The difference of 18 and 4

The rate at which the side of the cube changes when the side of the cube is 4 m is -1/8 m/s (or approximately -0.125 m/s).

Let's use the formula for the volume of a cube:

V = s³

where V is the volume and s is the length of one side of the cube. To find the rate of change of the side length, we need to differentiate this formula with respect to time t:

dV/dt = d/dt (s³) = 3s² ds/dt

We know that dV/dt = -6 m³/s (the negative sign indicates that the volume is decreasing), and when s = 4 m, we have:

-6 = 3(4²) ds/dt

Simplifying this equation gives us:

ds/dt = -6 / (3*4²) = -1/8 m/s

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The score located 2 standard deviations below the mean is 100. This score can be found by subtracting 2 standard deviations (20) from the mean (120).

The normal distribution is a bell-shaped curve that is symmetrical around the mean. This means that if you calculate the number of standard deviations away from the mean, you can use the same number to calculate how many standard deviations away from the mean the score is.

For example, in this question, the mean is 120 and the standard deviation is 10. To find the score located 2 standard deviations below the mean, subtract 2 standard deviations from the mean. This means the score is 120 - 20 = 100.

In general, the formula for calculating the score located x standard deviations away from the mean is:

Score = Mean + (x * Standard Deviation)

For example, to find the score located 4 standard deviations away from the mean, the formula is:

Score = Mean + (4 * Standard Deviation)

In this example, the score is 120 + (4 * 10) = 160.

In summary, to find the score located x standard deviations away from the mean, use the formula:
Score = Mean + (x * Standard Deviation)

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Answer:huh,

Step-by-step explanation:I don’t understand you’re saying

2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.

3. The project was worth 97 points.

The denominator of a percentage (also known as a ratio or fraction) is always 100.

As a percentage, "%" is read as "percent" or "percentage" in this context.

You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.

Here we can see that Melissa has already $2500 in her savings account.

Total cost of house = $185000

Now for the loan she needs to have 20% of the mortgage as savings.

20% of $185000

20/100 × 185000

= 37000

Now she already has $2500.

So, the amount she need to save is= $37000 - $2500

= $34500

Now, total grade Brooke received = 87.

10 points have been taken off for her mistakes.

Total worth of test = 87+10 =97points.

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If one flag pole is y feet tall and casts a shadow x feet long, and another nearby flag pole casts a shadow p feet long at the same time of day, we can use similar triangles to determine the shadow of the second flag pole.

In this scenario, the two flag poles and the ground form two similar right triangles. The height of the first flag pole (y) corresponds to one leg of the first triangle, and the length of its shadow (x) corresponds to the other leg.

Similarly, the height of the second flag pole (h) corresponds to one leg of the second triangle, and the length of its shadow (p) corresponds to the other leg.

Therefore, the height of the second flag pole is equal to the product of the height of the first flag pole and the length of the shadow of the second flag pole, divided by the length of the shadow of the first flag pole.

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Credit card charges $19665.33 will the balance on the card be, rounded to the nearest penny.

What is interest in simple words?

When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount per year. The interest rate for the loan is denoted by this proportion.

                                  Interest is the cost of borrowing money and is typically stated as a percentage, such an annual percentage rate (APR). Lenders may charge interest to borrowers for the use of their funds, or borrowers may charge interest to lenders for the use of their funds.

amount applied for = $14,000

interest rate = 16.99%

the balance after 2 years

             P₀ = $1400

             r = 16.99% = 0.1699

             t = 2

        [tex]P_{0} = P_{0}e^{rt}[/tex]

   [tex]P_{2} = 1400e^{0.1699 * 2}[/tex]

         ≈ $19665.33

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Answer:

I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!

Hope this helps!

She needs 14 cups of fertiliser.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Area = length * width

Find the area of the garden:

Area = 9 1/3 * 12

       = 28/3 * 12

       = 112  yards²

Find the amount of the fertiliser needed:

1   yards² = 1/8 cup

112  yards² = 1/8 * 112 = 14 cups

She needs 14 cups of fertiliser.

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Right

so 7 is the hypotenuse because it is the biggest. so you have to use 6 and 4 in the formula to see if they equal 7.

(a)²+(b)²=c²

(6)²+(4)²=c²

36+16=c²

(square root) 52=c²

the square root of 52 is 7

so therefore it is a right triangle.

Answer:

3a + 2b

Step-by-step explanation:

Let the unknown side have length X.

X + X + 5a - b + 5a - b = 16a + 2b

2X + 10a - 2b = 16a + 2b

2X = 6a + 4b

X = 3a + 2b

Answer: 3a + 2b

Answer:$10

Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?

He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.

Answer:

yes

Step-by-step explanation:

replace r and q with y and x:

y = 4x - 5

It is a line.

Answer: A - (-5, 43)

Step-by-step explanation:

The pay at the Digital Source is a variable amount that depends on the employee's job position and experience level. The pay is represented in dollars per hour, and it ranges from $12 per hour for a new employee in a low-level position to $60 per hour for a senior developer with extensive experience.

For example, if we look at the table created in part a, we can see that a junior developer with less than a year of experience will earn $18 per hour, while a senior developer with more than 10 years of experience will earn $60 per hour. This means that the pay at the Digital Source is directly related to the employee's experience and job position.

Additionally, the table also shows that the pay rate increases as the employee gains more experience and moves up the career ladder. For instance, a junior developer with less than a year of experience will earn $18 per hour, but a mid-level developer with 3-5 years of experience will earn $35 per hour. This shows that employees are rewarded for their skills and experience, and they have the opportunity to advance their careers and earn higher pay rates.

In summary, the pay at the Digital Source is a variable amount that depends on the employee's job position and experience level. The pay rate ranges from $12 per hour to $60 per hour, and it increases as the employee gains more experience and moves up the career ladder. The company values the skills and expertise of their employees and rewards them accordingly.

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Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.

The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.

In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.

Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.

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By using system of equations, there are 43 free DVD rentals and 46 boxes of microwave popcorn were given away during the promotional campaign.

Let's use the following variables

x: the number of free DVD rentals given away

y: the number of boxes of microwave popcorn given away

We can set up a system of equations to represent the given information:

x + y = 89 (total number of new members signed up)

1x + 2y = 135 (total cost of the incentives)

We can solve for x or y in the first equation and substitute into the second equation

x = 89 - y

1(89 - y) + 2y = 135

89 - y + 2y = 135

y = 46

Substituting y = 46 into the first equation:

x + 46 = 89

x = 43

Therefore, 43 free DVD rentals and 46 boxes of microwave popcorn.

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Answer:30 gallons

Step-by-step explanation:

Answer:

30 gallons of tea

Step-by-step explanation:

Step 1:

First, before we do anything, let's convert 2 hours into minutes. There are 60 minutes in an hour, so we would multiply 60 and 2 to get 120 minutes.

Step 2:

Since we know that 4 cups of tea are poured every minute, we must multiply 4 by 120 because it is poured every 1 minute, and 4 × 120 = 480.

Step 3:

We also know that there are 16 cups of tea in one gallon, so we would divide 480 by 16 because we are trying to get how many gallons there are. 480 ÷ 16 = 30, so there are 30 gallons of tea poured in two hours.

Therefore, the correct answer is:   [tex](x+10)^2=82[/tex]. ( right hand side of the equation).

An equation is a mathematical statement that indicates that two expressions are equal. It typically contains variables, which are represented by letters, and may also include constants and operators. The general format of an equation is:

expression = expression

For example, the equation x + 2 = 6 means that the expression x + 2 is equal to the expression 6. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

To solve the quadratic equation by completing the square, Jamie needs to follow the steps:

Move the constant term to the right-hand side of the equation:

[tex]x^2 + 20x = -18[/tex]

Add and subtract the square of half the coefficient of x to the left-hand side of the equation:

[tex]x^2 + 20x + (20/2)^2 - (20/2)^2 = -18[/tex]

[tex](x+10)^2 - 100 = -18[/tex]

Simplify the right-hand side of the equation:

[tex](x+10)^2 = 82[/tex]

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The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.

We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).

This means that h = 1/2 and k = -1/2.

The radius of the circle is r = square 2 divided by 4.

We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.

Now we can substitute these values into the standard form equation to get:

(x - 1/2)² + (y + 1/2)² = 1/8

So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

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Answer:

x ≥ 2

Step-by-step explanation:

8x + 3 ≥ 19

8x ≥ 19 - 3

8x / 8 ≥ 16 / 8

x ≥ 2

Answer:

Sure, I can solve for x:8x + 3 ≥ 19Subtracting 3 from both sides:8x ≥ 16Dividing both sides by 8:x ≥ 2Therefore, the solution is x ≥ 2.

Answer:

y=-3x+5

Step-by-step explanation:

A line that is parallel to y=-3x-5 will have the same slope, which is -3.

Using the point-slope form, we can write the equation of the line as:

y - 8 = -3(x + 1)

Simplifying:

y - 8 = -3x - 3

Adding 8 to both sides:

y = -3x + 5

Therefore, the equation of the line in slope-intercept form that is parallel to y=-3x-5 and goes through the point (-1,8) is y = -3x + 5.

Answer:

Step-by-step explanation:

the minimum mark the student should obtain is 32

The amount of concrete needed to make the stairs that leads to the garage is 64 cubic feet

The missing information is added as an attachment

The concrete needed to make the stairs is the volume of the stairs and this is calculated using

Volume = Base area * Height

Where

Base area = 3 * 2 + 2 * 1

Base area = 8

And

Height = 8

So, we have

Volume = 8 * 8

Evaluate

Volume = 64

Hence, the amount needed is 64 cubic feet

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The total 2-way variable achieved by the given tests is 6.

How to find 2-way variable?

There are three pairs of variables, and each pair can have two possible values, resulting in 2-way variable value configurations. Therefore, the total 2-way variable value configuration coverage achieved by the given tests is 6, as follows:

A=0, B=0

A=0, C=1

B=0, C=1

A=0, B=1

A=1, B=0

A=1, C=0

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Answer:

Step-by-step explanation:

(-3m + 3d) : 3 =

(-3m + 3d) x 1/3 =

-m + d

Answer: The answer is 60.

Step-by-step explanation:

Using the fact that OP || RS, we know that∠RWV = 180° − 130° 1.  ∠RWV = 50° We know that,∠PWQ = ∠RWV = 50° (Since, opposite angles of intersecting lines are equal) Also, for line OP∠OQP + θ = 180° θ = 180° − ∠OPQ = 180° − 110° 2.  θ = 70° 

Answer:

The measure of ∠OPQ is 110°.

Step-by-step explanation:

Draw a line parallel to OP from point Q. Label a point on the line T. (See attached diagram).

Angles SRQ and TQR are alternate interior angles, and so according to the Alternate Interior Angles Theorem, they are congruent.

⇒ m∠TQR = m∠SRQ = 130°

Given m∠PQR = 60° and m∠TQR = 130° then:

⇒ m∠TQP + m∠PQR = m∠TQR

⇒ m∠TQP + 60° = 130°

⇒ m∠TQP = 70°

Angles OPQ and TQP are same-side interior angles, and so according to the Same-side Interior Angles Theorem, they are supplementary (sum to 180°).

⇒ m∠OPQ + m∠TQP = 180°

⇒ m∠OPQ + 70° = 180°

⇒ m∠OPQ = 110°

Therefore, the measure of ∠OPQ is 110°.

Therefore, the height of each tent pole is approximately 8.07 meters.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving triangles, such as finding the length of a side or the measure of an angle. Trigonometry is based on the use of trigonometric functions, which are ratios of the sides of a right triangle.

Here,

We can use trigonometry to solve this problem. Let's call the height of the tent pole "h" and the length of the rope "r". Then, we can use the tangent function to find the height:

tan(52°) = h/r

Rearranging this equation, we get:

h = r * tan(52°)

We know that the length of each rope is equal, so we can choose any arbitrary length for r. For simplicity, let's assume that each rope is 10 meters long. Then, we can plug in the values into the equation:

h = 10 * tan(52°)

Using a calculator, we get:

h ≈ 8.07 meters

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The inequality to represent this situation is T < 15°C, where T is the temperature.

Inequality is a statement that two values, expressions, or quantities are not equal. Inequality is usually represented by the symbols ">", "<", "≥", or "≤".

This inequality can be graphed on the number line by representing 15°C as a point on the number line. Any values to the left of 15°C, such as 14°C, 13°C, and so on, would be represented as points to the left of 15°C on the number line.

Less than inequality is used to compare two values ​​to see if one is less than the other. In this case, the inequality T < 15°C states that the temperature T must be less than 15°C in order for the furnace to turn on.

Graphically, the solution to this inequality is represented by a number line with a point at 15°C and all points to the left of 15°C represented in the solution set.

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To factor a trinomial when a is greater than 1, we can use the AC method

To factor a trinomial when a is greater than 1, follow these steps

Multiply the coefficient of a (the first term) by the constant (the third term).

Find two numbers that multiply to the product obtained in step 1 and add up to the coefficient of b (the second term).

Replace the middle term with the two terms found in step 2.

Factor the resulting four-term polynomial by grouping.

Factor out the greatest common factor from each group.

Factor the resulting binomials.

Combine the factors to obtain the final factorization of the trinomial.

This method is known as the AC method, and it can be used to factor trinomials of the form ax^2 + bx + c, where a is greater than 1.

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