Rewrite the set T by listing its elements. Make sure to use the appropriate set notation. T={[ z| z is an interger and -4≤z<0}

Answers

Answer 1

Answer: Based on the given above, the set T is composed of the integers that are between -4 and 0; with -4 being included. Rewriting this set by using the Roster Method gives us an answer of,
T = {-4, -3, -2, -1}

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the simple interest I (in dollars) for a savings account is jointly proportional to the product of time (in years) and the principal P (in dollars). After 11 months the interest on a principal of $3970 is $86. What is the constant of the variation

Answers

Simple interest I is jointly proportional to the product of time in years and the principal, therefore; mathematically;
I α Pt
introducing a constant;
I = kPt; but I = $ 86, P = $ 3970, while t = 11/12 years
Thus; k = I/Pt
= 86/ 3970(11/12)
= 0.0236
Therefore, the constant of the variation is ≈ 0.024

What is the value of
$√(64)$

Answers

8 as that means what two of the same number makes up , in this case 64. 8x8=64

Which word or phrase best clarifies the relationship between the claim andthe evidence?
Owning your own business can allow you more freedom than a typical
job. ______you may be able to schedule your work around other pursuits.

A meanwhile
B the first reason
C for example
D actually

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of two numbers is 19, and their difference is 55. What are the two numbers?

Answers

Answer:

37 and -18

Step-by-step explanation:

Let one number be x and other y

1 x + 1 y = 19 .............1

1 x -1 y = 55 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by 1

1 x 1 y = 19

1 x + -1 y = 55

Add the two equations

2 x = 74

/ 2

x = 37

plug value of x in (1)

1 x + 1 y = 19

37 + 1 y = 19

1 y = 19 -37

1 y = -18

y = -18

37 and -18

Final answer:

The two numbers, which sum to 19 and have a difference of 55, are 37 and -18.

Explanation:

The sum and difference of two numbers can provide the solution to the problem. In this case, the sum of the two numbers is 19 and the difference is 55. To solve this, we start by setting up two equations based on the problem: x + y = 19 and x - y = 55.

Then we solve these equations simultaneously. We can add the two equations together to eliminate 'y'. This gives us 2x = 74, or x = 37. Substituting x = 37 into the first equation, we get 37 + y = 19, which gives y = -18.

So, the two numbers are 37 and -18.

Learn more about Solving Simultaneous Equations

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You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the ground. How tall is your house?

Answers

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall

A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?

A.
17.0 feet

B.
12.7 feet

C.
7.0 feet

D.
1.9 feet

Answers

B. 12.7 because use when i calculated it, it came up to12.69 but when you round the numbers up it will become 12.7

The answer is 12.7 feet. I just took the quiz and got the answer correct.

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Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?