Negative numbers are always shown with a _________________________ sign.

(a) To find the differential of the function y = tan(√3t), we can differentiate it with respect to t and then multiply by dt.

dy = d(tan(√3t))

  = sec²(√3t) * d(√3t)

  = √3 * sec²(√3t) * dt

Therefore, dy = √3 * sec²(√3t) * dt.

(b) To find the differential of the function y = (5 - v²) / (5 + v²), we can differentiate it with respect to v and then multiply by dv.

dy = d((5 - v²) / (5 + v²))

  = [(d(5 + v²) * (5 - v²) - (5 - v²) * d(5 + v²))] / (5 + v²)²

  = [2v * (5 - v²) - (5 - v²) * 2v] / (5 + v²)²

  = [-4v³] / (5 + v²)²

Therefore, dy = -4v³ / (5 + v²)².

These are the differentials for the given functions.

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Answer:

20

Step-by-step explanation:

26

Answer:

139.9

is what u get if u add all of them

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

you do -4 plus 8 but u count downwards from -4 so the answer is -12

Answer:

it's wrong because he put a closed circle on the nine when he was supposed to put an open circle because nine is not less than itself but the thing that he did right wad that he went to the left if it was a greater than or equal symbol then it would be correct

Happy :) have a good day lol

Step-by-step explanation:

Answer:

x = 21.2

Step-by-step explanation:

Mark me Brainliest?

Answer:

4 hours

Step-by-step explanation:

185-25=160

160/39=4.10 but we round it to 4

Answer:

11. Coefficient

12. Monomial (Since only two terms are there)

13. Binomial (Since only one term is there)

14. Variable

15. Trinomial (Since only three terms are there)

16. Constant

Hope this helped! If not, please let me know! <3

In this problem, we are given the characteristic equation of matrix C and asked to determine the size of the matrix, its determinant, eigenvalues, and eigenvectors.

(a) The size of matrix C can be determined from the characteristic equation. The degree of the characteristic equation corresponds to the size of the matrix. Therefore, the size of matrix C is the degree of the characteristic equation.

(b) To determine the determinant of matrix C, we can look at the constant term of the characteristic equation with the appropriate sign.

(c) Given that A = 2 is an eigenvalue of matrix C, we can substitute A = 2 into the characteristic equation and solve for the other two eigenvalues.

(d) With the eigenvector u corresponding to A = 2, we are provided with specific values for u and X. Using this information, we can evaluate the expressions Au and A²v by substituting the respective values and performing the matrix operations.

Furthermore, we are asked to solve the equation AX = v, where v is a given vector. This can be done by substituting the values of A and v into the equation and solving for the matrix X.

In summary, we need to determine the size and determinant of matrix C, find the eigenvalues (including A = 2) and eigenvectors, evaluate expressions involving the matrix, and solve an equation involving the matrix and a given vector.

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A matrix C has characteristic equation: (a) Determine the size of matrix C. (b) Determine the determinant of C. 1 BET ALG ENGINEERING MATHEMATICS 1 TUTORIAL 3 (c) Show that A = 2 is an eigenvalue of C and find the other two eigenvalues. (d) An eigenvector corresponding to A = 2 is u. It is further given that: 0.4 -0.8 u= -4 & X= i. Evaluate each of the following expressions: A. Au. B. A²v. ii. Solve the equation: AX = v. 21³7A²+7A+ 10 = 0

Answer:

52.5

Step-by-step explanation:

52.5 times 2 is 105 and 100 less than this is 5.

It can also be set out in the equation 2x-100=5

Answer:

-25

Step-by-step explanation:

-5 * -5= -25

Answer:

-25

Step-by-step explanation:

-5

*

15

=

-25

your welcome please consider brainiest thank you

Answer:

its y=30

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

You could formalize your answer by setting up a proportion.

3 boxes /6 months = x / 1 month

Cross multiply

3 boxes * 1 month = 6 months * x

the months cancel out.

Divide by 6

x = 3 boxes / 6

x = 1/2

Answer:

2.4

Step-by-step explanation:

75/3=25.

So she can do 1 scarf in 25mins

60/25=2.4

she can do 2.4 scarfs in one hour

Answer:

9.6 or 9 whole scarves

Step-by-step explanation:

You have to change the 4 hours into 240 minutes.

You can set it up as a proportion.

[tex]\frac{3}{75}[/tex] and [tex]\frac{x}{240}[/tex]

Then you need to set it up as:

75 x = 240 · 3

Then you get:

75 x = 720

Now you set it up as:

x = 720 ÷ 75

When you divide you get 9.6.

So, X = 9.6.

Allison can sew 9 whole scarves in four hours. The answer could also be 9.6 scarves. Not sure which one you need.

Answer:

Step-by-step explanation:

Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"

Given:

Total number of trees chopped by them = [tex]b+2c+3j[/tex]

b = number of hours Ben spends chopping = 8

c = number of hours Cam spends chopping = 3

j = number of hours Justin spends chopping = 4

To find:

The numerical value of total number of trees chopped by them.

Solution:

Total number of trees chopped by them = [tex]b+2c+3j[/tex]

Put [tex]b=8, c=3[/tex] and [tex]j=4[/tex] in the given expression.

[tex]Total=8+2(3)+3(4)[/tex]

[tex]Total=8+6+12[/tex]

[tex]Total=26[/tex]

Therefore, total number of trees chopped by them is 26.

Answer:

B. $25,700

Step-by-step explanation:

(sorry it took me so long to answer it was kinda hard)

Answer:

80 degree angle

Step-by-step explanation:

Answer:

80 degrees

because its lower than a 90 :))

Answer:

-11/2

Step-by-step explanation:

plug in the coordinate for the correct variables, plug in -3 for x and 2 for y

-3 =  m2 + 8, next move the 8 to the left side of the equation which becomes -11 and then -11=m2 and then divide -11/2 and thats what m equals

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer:

684

Step-by-step explanation:

36

x19

let calculator do the rest and then ur done

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following:

X: _1_____2_____3_____4_____5

Y: 480__441____310___248___167

Using the linear regression calculator :

ŷ = -81.9X + 574.9

Where ;

y = predicted variable

x = independent variable

-81.9 = gradient or slope (m)

574.9 = intercept

Average retail price of fame at age 77

ŷ = -81.9X + 574.9

ŷ = -81.9(77) + 574.9

y = - 6306.3 + 574.9

y = −5731.4

At what age is the game system worthless :

Retail Price = y = $0

ŷ = -81.9X + 574.9

0 = - 81.9X + 574.9

81.9X = 574.9

X = 574.9 / 81.9

X = 7.019

X = 7

Hence, game system is worthless at age 7

Answer:

the answer is 2...................

Step-by-step explanation:

-6+8=2

Answer:

-6+8= 2 draw a line then write at the center 0 to the left write negative integers to your write positive integers-6 +8 move 8 steps forward from-6 and you will be at 2 that's the answer

Answer:

$5.95

if 20 oz= 7$

then 17 oz= 5.95

Answer:

Ax+5=2*3+2*2x

Ax+5-6-4x=0

x(A-4)-1=0

x=1/(A-4)

The maximum price that buyers would be willing to pay for a car is $4900.

The maximum price that buyers would be willing to pay for a car can be determined by considering the expected value of the car. Since one third of all used cars are lemons, buyers would expect that there is a one-third chance of purchasing a lemon and a two-thirds chance of purchasing a plum.

Based on this information, we can calculate the expected value by considering the prices of lemons and plums and their respective probabilities.

The expected value is calculated as follows:

Expected value = (Probability of getting a lemon * Maximum price for a lemon) + (Probability of getting a plum * Maximum price for a plum)

In this case, the probability of getting a lemon is 1/3 and the probability of getting a plum is 2/3. The maximum price for a lemon is $2700 and the maximum price for a plum is $6000. Substituting these values into the formula, we can calculate the expected value:

Expected value = (1/3 * $2700) + (2/3 * $6000)

Simplifying the equation, we get:

Expected value = $900 + $4000

Expected value = $4900

Therefore, the maximum price that buyers would be willing to pay for a car is $4900. This price takes into account the probabilities of getting a lemon or a plum and the respective maximum prices buyers are willing to pay for each type of car. Buyers would consider this price as the maximum they are willing to pay, as it represents the expected value of the car considering the lemon-plum distribution and their respective preferences and valuations.

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Answer:20-5t+=

Step-by-step explanation:

Answer:

80-62=18

Step-by-step explanation:

plug in the y, which is 80, then subtract 60 from 80, which is 18, not 28.