How to solve this please help

The inequality -4t ≥ -2/5, where t is the variable in question, simplifies to t ≤ 1/10, indicating that t must be less than or equal to 0.1. Negative time values are a conceptual tool used in physics to discuss intervals before a chosen start time.

The student's question is about solving an inequality involving a variable t and understanding the concept of negative time. The inequality is given as a number t multiplied by -4 is at least -2/5. Mathematically, this can be written as -4t ≥ -2/5. To solve for t, we can divide both sides by -4 (remembering that dividing by a negative switches the inequality sign), so t ≤ 1/10 or t is less than or equal to 0.1. This condition must hold true for any value of t for the statement to be correct.

The concept of negative time is often used in physics to describe events that occurred before a certain reference point in time. The references to negative time values represent periods before some initial event, similar to counting backward. A negative t value does not imply 'backward' time travel in the literal sense, but rather a point in time before the designated start (t = 0).

Answer:

Step-by-step explanation:

First you have to know that you if you divide 24 by 6 you would have to take 7 multiplied by 4 to get 28

Answer:

he answer is D.)y = 400(1/2)X-1

Step-by-step explanation:

Option D is correct, y=400(1/2)ˣ⁻¹ is the equation  that models the sequence 400, 200, 100, 50, ..

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The sequence 400, 200, 100, 50, ... is a geometric sequence with a common ratio of 1/2, since each term is half the previous term.

To write an equation that models this sequence, we can use the general formula for a geometric sequence:

aₙ = a.rⁿ⁻¹

where aₙ is the nth term of the sequence, a is the first term of the sequence, r is the common ratio of the sequence and n is the number of the term we want to find

Since the first term is 400 and the common ratio is 1/2, we have:

a= 400

r = 1/2

aₙ=400(1/2)ˣ⁻¹

y=400(1/2)ˣ⁻¹

Hence, option D is correct, y=400(1/2)ˣ⁻¹ is the equation  that models the sequence 400, 200, 100, 50, ..

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4x-y=19 is the correct answer for this problem

Answer

b and d

Step-by-step explanation:

⇒Polar Coordinate of point (x,y)=(r,Ф)

The Point (x,y) lies in First Quadrant.

r=Distance from Origin to point (x,y)

[tex]r=\sqrt{x^2+y^2}\\\\ \theta=\tan^{-1}\frac{y}{x}\\\\ \theta=A[/tex]

⇒The Point (-x,y) lies in Second Quadrant.

[tex]r=\sqrt{x^2+y^2}\\\\ \theta=\tan^{-1}\frac{y}{-x}\\\\ \theta=\pi-A[/tex]

Polar Coordinate of point (-x,y)=(r,π-Ф)

⇒The Point (-2x,-2y) lies in Third Quadrant.

[tex]r=\sqrt{(-2x)^2+(-2y)^2}\\\\r=\sqrt{4x^2+4y^2}\\\\r=2\times \sqrt{x^2+y^2}\\\\ \theta=\tan^{-1}\frac{-2y}{-2x}\\\\=\tan^{-1}\frac{y}{x}\\\\ \theta=\pi+A[/tex]

Polar Coordinate of point (-2x,-2y)=(2r,π+Ф)

⇒The Point (3x,-3y) lies in Fourth Quadrant.

[tex]r=\sqrt{(3x)^2+(-3y)^2}\\\\r=\sqrt{9x^2+9y^2}\\\\r=3\times \sqrt{x^2+y^2}\\\\ \theta=\tan^{-1}\frac{-3y}{3x}\\\\=\tan^{-1}\frac{-y}{x}\\\\ \theta=-A[/tex]

Polar Coordinate of point (3x,-3y)=(3r,-Ф)

To multiply the complex numbers (2 - 7i) and (9 + 5i), we use the distributive property to get the result of 53 - 53i.

To multiply the complex numbers (2 - 7i) and (9 + 5i), we use the distributive property, also known as the FOIL method in this context (First, Outer, Inner, Last). Applying this method, we get:

First: 2 × 9 = 18

Outer: 2 × 5i = 10i

Inner: (-7i) × 9 = -63i

Last: (-7i) ×5i = -35i²

Recall that i² = -1, so -35i² = -35(-1) = 35. Combine like terms (the real numbers with real numbers, and the imaginary numbers with imaginary numbers):

18 + 35 (real parts) + 10i - 63i (imaginary parts) equals to 53 - 53i.

Thus, the product of (2 - 7i) and (9 + 5i) is 53 - 53i.

Answer: The answer is 80

Step-by-step explanation: because first of all divide 24 by 30% which equals 80 and second I took the USATP Test and got it right

To calculate the proceeds from discounting a note, subtract the bank discount from the face value.

To calculate the proceeds from discounting a note, we need to use the formula:

Proceeds = Face Value - Bank Discount

First, let's calculate the bank discount using the formula:

Bank Discount = Face Value * Discount Rate * Time

For the given note:

Face Value = $15,000

Discount Rate = 9%

Time = 120 days / 365 days/year (assuming a 365-day year)

Plugging in the values, we get:

Bank Discount = $15,000 * 0.09 * (120/365)

Next, we can calculate the proceeds by subtracting the bank discount from the face value:

Proceeds = $15,000 - Bank Discount

Answer:

C

Step-by-step explanation:

The total return you want is 0.09 * 1600 = $144

Let a be the amount invested at 12% and b be the amount invested at 6% 

0.12a + 0.06b = 144 - 44

12a + 6b = 10000

a + b = 1200

Put those 2 equations together and solve for a and b: 

12a + 6b = 10000 

a + b = 1200

Using elimination, a = $466.67 and b = $733.33

So, out of an additional $1200, invest $466.67 at a rate of 12% and $733.33 at a rate of 6%

To determine how much to invest at 12% and 6% to achieve a total return of 9% on $1,600, set up and solve the equation based on the given information.

To calculate how much of the additional $1,200 should be invested at 12% and how much at 6%:

The graph is attached and 68 sunflowers will be taller than 71 inches in the field.

Given that:

- Mean (average height) = 64 inches

- Standard deviation = 3.5 inches

Standardizing the height 71 inches using the z-score formula, we have

[tex]\[ z = \frac{{x - \mu}}{{\sigma}} \][/tex]

Substitute the known values into the equation

[tex]\[ z = \frac{{71 - 64}}{{3.5}} \][/tex]

[tex]\[ z = \frac{{7}}{{3.5}} \][/tex]

[tex]\[ z = 2 \][/tex]

Using the standard distribution table, we have

P(z > 2) = 0.02275

To find the number of sunflowers taller than 71 inches:

[tex]\[ 3000 \times 0.02275[/tex]

Evaluate

68

Hence, 68 sunflowers will be taller than 71 inches in the field.

The form of a linear equation that shows the slope and one point is known as the point-slope form, which is written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

The form of a linear equation that shows the slope and one point is known as the point-slope form. Unlike the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, the point-slope form is typically written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

For example, if you are given a slope of 3 and a point (2, 5), the equation of the line in point-slope form would be y - 5 = 3(x - 2). To visualize this, consider a line graph with the x-axis as the horizontal axis and the y-axis as the vertical axis.

If this was plotted, the line would rise 3 units on the vertical axis for every 1 unit it rises on the horizontal axis, illustrating the concept of slope as the rise over run, which is consistent along the entire length of a straight line.

Answer:

A. 216

Step-by-step explanation:

This is because the volume of a cube is worked out by doing .  being the edge. Therefore, you just have to do  (6 × 6 × 6), which is 216.

The projection of the space curve C, resulting from the intersection of the two given paraboloids, onto the xy-plane is the line y=0.

The surfaces provided are of the paraboloids x^2 + y^2 + z = 4 and x^2 + 3y^2 = z. We can find the space curve, which is the curve of intersection of these two surfaces, by setting the two equations equal to each other. We would get x^2 + y^2 + z = x^2 + 3y^2 which simplifies to 2y^2 - z = 0. The projection of this space curve C onto the xy-plane would just be the shadow this curve casts on the xy-plane. Thus, we eliminate the z variable and the result would be 2y^2 = 0 -> y = 0 , so, the projection of the curve on the xy-plane is y=0.

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The function x^3 + 7x^2 + 10x / (x + 5) is discontinuous at x = -5, where it has a jump discontinuity. The function is otherwise continuous and does not approach infinity, indicating no infinite discontinuity.

The given function is x^3 + 7x^2 + 10x / (x + 5). To determine the continuity of the function, it's crucial to identify any values of x that would make the denominator zero since the function is undefined at these points.

In this case, if x is -5, the denominator will be zero, making the function undefined. Therefore, the function has a point of discontinuity or a jump discontinuity at x = -5.

The function does not have an infinite discontinuity because it never approaches infinity as x approaches any particular value. This function is continuous at every point except for x = -5. Therefore, "the function x^3 + 7x^2 + 10x / (x + 5) has one point of discontinuity at x = -5."

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To round 15.8% to the nearest whole percent, we round up due to the digit after the decimal point is 8, resulting in 16%.

To round off 15.8% to the nearest whole percent, we look at the first digit after the decimal point, which is 8. Since this digit is 5 or greater, we round up. Therefore, 15.8% rounded to the nearest whole percent is 16%. This rounding method ensures accuracy in representing percentages, particularly in contexts like statistical analysis, grading, and financial reporting. By rounding to the nearest whole percent, the value becomes more concise and easier to interpret, aiding in clear communication and decision-making processes where precise percentage values are essential for understanding and comparison.