the side of the cube is increasing at a constant rate of 0.2 centimeters per second. in terms of the surface area s, what is the rate of change of the volume of the cube, in cubic centimeters?

Answer:

y = 0.625x+3.625

Step-by-step explanation:

Based on the perimeter of the triangle, and the dimensions of the sides, the length of the longest side is 17 units

The length of a triangle is found by adding up all the three sides of the triangle.

Perimeter = Length A + Length B + Length C

We are given the perimeter as 31:

31 = 3x + (x - 2) + (2x + 9)

3x + x - 2 + 2x + 9 = 31

3x + x + 2x - 2 + 9 = 31

6x + 7 = 31

6x = 31 - 7

x = 24 / 6

x = 4

The length of the longest side is:

= 2x + 9

= 2(4) + 9

= 17 units

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Answer:

4950

Step-by-step explanation:

412.50 x 12

412.50 is the mothly rental

12 are the month in a year

so it is 4950

Answer:

i. X represents the difference between the mean entry-level mechanical engineering salary and the mean entry-level electrical engineering salary.

ii. t distribution with df = 96

iii. t = -2.38

iv. p-value = 0.0190

v. Alpha = 0.05

i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).

ii. We used the t-distribution for the test due to unknown population standard deviations and relatively small sample sizes.

iii. The calculated test statistic is -2.1095.

iv. The degrees of freedom for the t-distribution are approximately 113242.

v. The p-value associated with the test statistic and degrees of freedom is approximately 0.0001.

i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).

ii. We will use the t-distribution for the test since the population standard deviations are unknown, and the sample sizes are relatively small (less than 30).

iii. The test statistic for this hypothesis test is calculated as:

\(t = (X - Xe) / \sqrt(s_m^2 / n_m) + (s_e^2 / n_e))}\)

Where:

X = sample mean for mechanical engineering

Xe = sample mean for electrical engineering

Sm = standard deviation for mechanical engineering

Se= standard deviation for electrical engineering

nm = sample size for mechanical engineering

ne = sample size for electrical engineering

t = (46100 - 46900) / √(3450² / 46) + (4230² / 52))

= -800 / √(3450² / 46) + (4230² / 52))

= -800 / 379.4303

= -2.1095

iv.

Calculating the degrees of freedom:

df = (3450² / 46 + 4230² / 52)² / ((3450² / 46)² / (46 - 1) + (4230² / 52)² / (52 - 1))

= (119023.913 + 180714.2308)² / ((119023.913)² / 45 + (180714.2308)² / 51)

= 113242.1436

The degrees of freedom are approximately 113242.

Now, we need to find the p-value associated with the test statistic and degrees of freedom.

We can use a t-distribution table to look up the p-value.

Since the test is one-tailed and the test statistic is negative, we will look up the p-value in the left tail of the t-distribution with the given degrees of freedom.

Assuming the p-value is less than 0.0001, we can state that the p-value is approximately 0.0001.

v. To conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.

So, the significance level (alpha) is given as 5%.

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Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

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a. Check the images attached below for LTI system.

b. The block diagram of the LTI system is attached below.

A type of systems known as linear time-invariant systems (LTI systems) is used in signals and systems that are both time-invariant and linear. Systems that provide the same results for a linear combination of inputs and individual reactions to those inputs are said to be linear systems.

(a) The block diagram of the LTI system in direct form is as follows:

Image attached below.

(b) The block diagram of the LTI system in transposed direct form is as follows:

Image attached below.

Note that in the transposed direct form, the delay element (z⁻¹) is placed after the summing junction, and the feedback path is connected directly to the input. This is equivalent to the direct form, but may be more convenient for certain implementations.

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Answer:

1. Hush

Step-by-step explanation:

Answer:

The answer should be D.) Desired.

Step-by-step explanation:

The definition of soothing is "having a gently calming effect",

A.) Hush, which in most cases is negative,

B.) Flaming, does not sound gentle OR calming,

B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.

Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.

a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.

When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.

An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.

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The complete question is as follows:

Answer:

y = 2.5 , x = 4

Step-by-step explanation:

5x - 4y = 10 ____eq1

x + 2y = 9 ____eq2

5x=10+4y

x = (10 +4y)/5 ____eq3

x = 9 -2y ____eq4

Using eq3 and eq 4 to solve simultaneously,

9 - 2y = (10 +4y)/5

45 -10y = 10 +4y

14y = 25

y =2.5

if y =2.5,

x = 9 -2y = 9 - 2(2.5) =4

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

The slope of the line given in the graph will be [m] = - 0.78.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the graph of a straight line.

The line passes through the coordinates as follows -

(- 1.8, 0)        [lying on x-axis]

(0, - 1.4)        [lying on y-axis]

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m = (- 1.4 - 0)/(0 + 1.8)

m = - 1.4/1.8

m = - 0.78

Slope of the line will be -0.78.

Therefore, the slope of the line given in the graph will be [m] = - 0.78.

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Given:

Speed of train = 85 miles per hour

Total distance = 102 miles

To find:

The time taken by train to cover 102 miles.

Solution:

We know that,

\(Speed=\dfrac{Distance}{Time}\)

On substituting the values, we get

\(85=\dfrac{102}{Time}\)

\(Time=\dfrac{102}{85}\)

\(Time=1.2\)

Therefore, the time taken by train to cover 102 miles is 1.2 hours.

By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)

In calculus, a linear function is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred as a "equation with two variables." Bivariate linear equations are linear equations with two parameters. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is considered to as being linear. A mathematical equation is said to be cubic if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

x + 2y = 13

-x + y = 5

In 1

5 - y + 2y = 13

y = 8

- x + 8 = 5

-x = 5 - 8

-x = -3

x = 3 by multiplying the value of x by 2.

By using the elimination approach, the system of linear equations x + 2y = 13 and -x + y = 5 may be solved as (3, 8)

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Answer: The perimeter is when you add all of the sides together, and the area is when you multiply the sides together

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

The answer to this would be +7 yards

Step-by-step explanation:

I tried my best...please mark me brainliest and I hope you have a fantastic day!

Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

A. a ≅ v

D. a ≅ ⊙v

E. ⊙a ≅ v

Since the symbol ⊙ represents congruency, ⊙a ≅ ⊙v implies that a is congruent to v. Therefore, the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

Congruency is a type of equivalence relation that states that two geometric figures are the same size and shape. In other words, if two figures are congruent, then all of their corresponding parts are the same size and shape. Therefore, if ⊙a ≅ ⊙v, then it can be concluded that a is congruent to v, and the congruency statements that can be made are a ≅ v, a ≅ ⊙v, and ⊙a ≅ v.

The complete question is :

Given , ⊙a ≅ ⊙v, what congruency statements can you make? Check all that apply.

A. a ≅ v

B. a ~ v

C. ⊙a ~ ⊙v

D. a ≅ ⊙v

E. ⊙a ≅ v

The correct answers are: A. a ≅ v, D. a ≅ ⊙v, and E. ⊙a ≅ v.

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Answer: Real.

Step-by-step explanation:

      The third zero, or solutions/roots, is a real zero. It is 6.

      To find the answer to this, we will solve by graphing. See attached. The graph intercepts the x-axis, when y = 0 ("zeros") three times. These points have x-values of 4, -4, and our last one of 6.

We can substitute this back into the equation and see that it is true.

      f(x) = x³ - 6x² - 16x + 96

      f(6) = (6)³ - 6(6)² - 16(6) + 96

      0 = 216 - 216 - 96 + 96

      0 = 0

The green triangle with the preimage coordinates and the image coordinates are listed below

Preimage   image

A (-5, 2)        A' (2, -5)

B (-3, 5)        B' (5, -3)

C (-1, 4)         C' (4, -1)

The transformation is according to the transformation rule given in the problem

rule ( x, y) --> (y, x)

This rule exchanges the coordinates of the triangle to produce a reflection over the line y = x

The image of the reflection is attached

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complete question

The coordinates of the green triangle are

A (-5, 2)      

B (-3, 5)      

C (-1, 4)  

SOLUTION

Recall the compound ineterse formula:

From the question it follows:

Substituting values gives:

Solving for A gives:

Therefore the amount to be paid back is $65039

Answer:

3 1/6

Step-by-step explanation:

The receiver must be placed approximately 12.9095 inches from the vertex of the dish for optimal reception.

A satellite dish has the shape of a paraboloid, given that the dish is 30 inches wide, and 10 inches deep. We have to determine the distance in inches the receiver must be placed from the vertex of the dish for the optimal reception.The focus of the dish is located at a distance of 5 inches from the vertex.

We know that the vertex is at the center of the dish, so it has coordinates (0,0,0).If we consider that the paraboloid's equation is y =\(ax²\), we have to determine the coefficient "a".

The dish is 30 inches wide, so we have:

y =\(ax²\)

=> 15 = \(a(15)²\)

=> a = 1/15

Therefore, the equation of the dish is \(y = (1/15)x²\). The optimal distance of the receiver from the vertex is when the line that goes from the receiver to the focus makes a 90-degree angle with the dish. Thus, the length of this line must be equal to the distance between the vertex and the focus, which is 5 inches.

We can use the Pythagorean Theorem to determine the value of x, which is the distance that the receiver must be placed from the vertex:

\(x² + y² = 5²y = (1/15)x²x² + (1/15)x⁴ = 25\)

By solving this equation, we can determine that:

x = 12.9095 inches

Therefore, the receiver must be placed approximately 12.9095 inches from the vertex of the dish for optimal reception.

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