If a >b, then A must be positive number.

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Hey ! there

Answer:

Step-by-step explanation:

In this question we're given with four interior and four exterior angles of quadrilateral . And we're asked to find the value of angle z .

We are giving numbering to some angles which are important for solving the question So that there's ease in the explanation .

Solution : -

For finding value of angle z , we need to find the value of angle x . So

This is because they are Linear angles and sum of linear angles is equal to 180°.

Now ,

\( \dashrightarrow \qquad \: 3x - 24 + x = 180\)

Adding 24 on both sides :

\(\dashrightarrow \qquad \:3x - \cancel{ 24} + \cancel{24 } + x = 180 + 24\)

Simplifying it ,

\(\dashrightarrow \qquad \:4x = 204\)

Dividing with 4 on both sides :

\(\dashrightarrow \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{\dfrac{204}{4} }\)

We get ,

\(\dashrightarrow \qquad \: \underline{\boxed{\frak{x = 51^{\circ}}}}\)

According to question , we need to find the value of angle z . So ,

\( \dashrightarrow \qquad \:( x + 15) + z = 180\)

We know that ,

So , substituting value of x ,

\( \dashrightarrow \qquad \: (51+ 15) + z = 180\)

Simplifying it :

\( \dashrightarrow \qquad \: 66 + z = 180\)

Subtracting 66 from both sides :

\( \dashrightarrow \qquad \: \cancel{ 66 }+ z - \cancel{66}= 180 - 66\)

On further calculations , We get :

\( \dashrightarrow \qquad \: \pink{\underline{\boxed{\frak{z = 114^{\circ} }}}} \quad\bigstar\)

Answer:

114 Degrees

Step-by-step explanation:

Theorem:  Angles on a straight line add up to 180°

Using this theorem, find x:

⇒ x + (3x - 24) = 180°

⇒ 4x - 24 = 180°

⇒ 4x = 204°

⇒ x = 51°

Using the found value of x and the straight line theorem to find z:

⇒ (x + 15) + z = 180°

⇒ (51 + 15) + z = 180°

⇒ 66 + z = 180°

⇒ z = 180° - 66

⇒ z = 114°

Answer:

  C.  As x → –∞, y → +∞, and as x → +∞, y → +∞

Step-by-step explanation:

The leading coefficient of this even-degree function is positive, so y goes to +∞ when the magnitude of x gets large.

_____

When the function is even degree, its value for large magnitude x heads toward the infinity with the same sign as the leading coefficient.

When the function is odd degree, its value for large magnitude x will head toward the infinity with the sign that matches the product of the sign of x and the sign of the leading coefficient.

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

The numbers are 31 and 44.

Step-by-step explanation:

Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:

(75 - 13) / 2 = X

62/2 = X

31 = X

31 + (31 + 13) = X

31 + 44 = X

75 = X

Therefore, the numbers are 31 and 44.

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

Answer:

I would make sure to note keywords in the problem/question such as (percent) off, (percent) tax, etc. These words can determine if the original number will become higher or lower after the percent is applied to the original number. For example, if there is a price for a t-shirt of $15, and there is a tax of 13%, the original price will increase. On the other hand, if there is a sale for pants at the local department store and you are buying a pair of pants that cost $25 with the sale being 10% off, the price will decrease.

The total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.

We are given that:

Principal amount = P = $ 680

Time period = t = 3 years

Simple interest rate = r =  3.94 %

We know that, the formula for simple interest is given by:

SI = P × r × t

SI = 680 × 3.94 % × 3

SI = 80.376

Amount will become:

Amount = $ 680 + $ 80.376

Amount = $ 760.376

Therefore, we get that, the total amount that we need to pay back after the end of 3 years with principal amount as $ 680 and simple interest as 3.94 % will be $ 760.376.

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Answer:

is that the whole question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the mean and the standard deviation obtained from the last discussion and test the claim that the mean age of all books in the library is greater than 2005.

This is the last discussion:

The science portion of my library has roughly 400 books.

They are arranged, on shelves, in order of their Library of Congress

code and, within equal codes, by alphabetical order of author.

Sections Q and QA have a total of 108 books.

The bulk of the library was established in the early 1990s.

I used a deck of cards, removing the jokers and face cards, keeping

only aces (1) and "non-paints" (2 to 10). Starting from the start of

the first shelf, I would turn a card (revealing its number N) and I

would go to the Nth book. This uses ordinal numbers (1 would means the

"first" book, not a gap of 1).

The cards were shuffled sufficiently to assume that the cards have a

random order.

I sampled only the LC subsections Q and QA (therefore, not a true

sample of the entire library, as this classification is not purely

random).

Thus, I picked 21 books (the expected number being 108/5.5 = 19.6 --> 20 books)

The sampled dates of publication were (presented as an ordered set):

1967, 1968, 1969, 1975, 1979, 1983, 1984,

1984, 1985, 1989, 1990, 1990, 1991, 1991,

1991, 1991, 1992, 1992, 1992, 1997, 1999

The median date is 1990

The mean date is 1985.67

Variance = 84.93 ( Sum of (date-mean)^2 )

SQRT of variance = 9.2 (sample standard deviation)

The "sigma-one" confidence interval (containing 68% of the books), if

the sample were NOT skewed, and if the distribution were "normal"

would contain dates from "mean - 9.2" to "mean + 9.2"

Sigma-2 (95%) would have mean - 2(9.2) to mean + 2(9.2)

Sigma-3(99.7%) from "1985.67 - 3(9.2)" to "1985.67 + 3(9.2)"

1958.07 to 2012.6

There, you see one reason why the distribution is skewed (it is

possible to have books older than 1958, but it is impossible to have

book newer than 2012), but it still represents a usable model for the

library. If it applies to the entire library of 400 books, you would

expect one book (0.3% of 400) to fall outside the 3-sigma interval.

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer:

2x+5 is greater than or = to 100.

2x≥95

x≥95/2

Step-by-step explanation:

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer: RRRRight technique Marooni

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

We cross multiply to get 4x=36. Divide both sides by 4 to get x = 9.

Hope it helped :)

Answer:

\( \boxed {\sf \: x = 9}\)

Let's Solve

Hope It's Helps``

Answer:

  a. 16.9 m

  b. 4.082 seconds

  c. no

  d. 2.041 seconds

  e. 21.41 m

Step-by-step explanation:

A graphing calculator can help you answer these questions quickly and easily. The graph is attached.

__

Evaluate the function at t=3.

  h(t) = -4.9t^2 +20t +1

  h(3) = (-4.9×3 +20)×3 +1 = 5.3×3 +2 = 16.9

The baton will be at a height of 16.9 meters after 3 seconds.

__

The axis of symmetry of quadratic ax^2+bx+c is located at x=-b/(2a). The point of release and the later point at the same height will be symmetrically located about the axis of symmetry. The peak height will be on the axis of symmetry of the graph. That value of time is ...

  tpeak = -20/(2(-4.9)) = 20/9.8 ≈ 2.041 . . . seconds

The baton will be at the release height again after 2×2.041 = 4.082 seconds.

__

As we saw in part (b), the maximum height will be when t=2.041 seconds. That height is found by evaluating the function for that value of t.

 h(2.041) = (-4.9(2.041) +20)(2.041) +1 = 21.41 . . . meters

The baton will not reach a height of 25 meters.

__

We found this answer in part (b): 2.041 seconds to reach the maximum height.

__

We found this answer in part (c): 21.41 meters is the maximum height.

_____

Additional comment

The time at maximum height is 20/9.8 seconds = 100/49 = 2 2/49 seconds. In general, the answer values shown here are rounded to 4 significant figures. The graphing calculator rounds to 3 decimal places.

The value of the expression is 76/6

Order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.

A way to remember the order of the operations is BODMAS.

Bracket                     (  )

Of Multiplication     of

Multiplication          ×

Division                   ÷

Addition                  +

Subtraction             -

1/2 × (16 × 4) divided 3 + 2 can be written as:

1/2 × (16 × 4) ÷ 3 + 2 = 1/2 × (16 × 4) ÷ 3 + 2   (Bracket)

                                = 1/2 × 64 ÷ 3 + 2           (Division)

                                = 1/2 × 64 ÷ 3 + 2           (Division)

                                = 1/2 × (64/3) + 2           (Multiplication)

                                =  (64/6) + 2                  (Addition)

                               =  (64 + 12)/6

                               =  76/6                              

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Answer:

what are the choices A,B,C,D

Answer:

4/7=116/203

Step-by-step explanation:

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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The equation of the linear regression is y = 1.49x- 2.76

From the question, we have the following parameters that can be used in our computation:

X 1 2 3 4 5 6 7 8

Y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

Rewrite as

X 1 2 3 4 5 6 7 8

Y 0.5  0.8  1.2  1.9  3  4.8 7.5 11.9

When the points are entered in a graphing calculator, we have

The regression equation is represented as

Regression Equation

ŷ = bX + a

Substitute the known values in the above equation, so, we have the following representation

b = SP/SSX = 62.6/42 = 1.49048

a = MY - bMX = 3.95 - (1.49*4.5) = -2.75714

So, we have

y = 1.49048X - 2.75714

Approximate

y = 1.49x- 2.76

Hence, the regression equation is y = 1.49x- 2.76

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Complete question

Given that

X 1 2 3 4 5 6 7 8

Y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

Calculate the regression linear equation

We have the following equation:

They ask us to solve this equation, in this case, we must solve for "k"

Now, we clear k

Compared with your solution, this is also correct, let's see the last step in which you are

Your solution to this equation is correct in each step you did, you just need to move on to divide the (-3) to the other side

In conclusion, the answer si k = -7

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Formula for the term of a geometric sequences has been defined as,

"Each number is 4 less than 3 times the previous numbers"

Therefore, recursive formula will be,

\(T_n=3(T_{n-1})-4\)

Now we will use this formula to build the sequence,

A). If \(T_1=10\),

    Then \(T_2=3(10)-4=26\)

     \(T_3=3(26)-4=74\)

     \(T_4=3(74)-4=218\)

     \(T_5=3(218)-4=650\)

     Therefore, the sequence will be,

      \(10,26,74,218,650\)

B). If \(T_1=1\),

    Then \(T_2=3(1)-4=-1\)

    \(T_3=3(-1)-4=-7\)

    \(T_4=3(-7)-4=-25\)

    \(T_5=3(-25)-4=-79\)

    Therefore, the sequence will be,

    \(1,-1,-7,-25,-79\)

C). If, \(T_1=5\),

    Then, \(T_2=3(5)-4=11\)

     \(T_3=3(11)-4=29\)

     \(T_4=3(29)-4=83\)

     \(T_5=3(83)-4=245\)

    Therefore, the sequence will be,

     \(5,11,29,83,245\)

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Answer:

Sin(A)=5/13

Cos (A)=12/13

Tan (A)=5/12

Cosec(A)=13/5

Cot (A)=12/5

Sec (A)=13/12

Step-by-step explanation: