The question for the graph has a leading coefficient that is___. What are the possible degrees for the equation of this graph

Given:

The sequence is:

8, 4, 2, 1,...

Required:

Find a recursive formula for the given sequence.

Explanation:

The given sequence is:

8, 4, 2, 1,...

The common ratio of the sequence is:

Since the common ratio for the given series is 1/2.

Final Answer:

The recursive formula for the given sequence is

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

\(\frac{49}{45}\) OR \(1\frac{4}{45}\)

Step-by-step explanation:

After about 43.7 minutes the element will decay to 3 grams.

The formula for exponential growth is \(y = y_0e^{(kt)}.\)

The formula for exponential decay is \(y = y_0.e^{(-kt)}.\)

Given, Element x decays radioactively with a half life of 6 minutes and initial mass was 310 grams.

We know, The half-life formula is, \(m_t = m_0(\frac{1}{2})^{\frac{t}{r}\).

Therefore, \(3 =310(\frac{1}{2})^{\frac{t}{6}\).

\(0.0096 = (\frac{1}{2})^{\frac{t}{6}\).

\(log_{0.5} 0.0096 \frac{t}{6}\).

t = 43.7 minutes.

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(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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We need volume of drawer if we have to find the no. of boxes to be fit in a drawer.

It is given that , you need to know about no. of boxes of markers that will fit in a drawer.

You have to find that what will you need among length, area, or volume of the drawer to calculate it.

What is volume ?

Volume is a three-dimensional quantity which is used to measure the capacity of a solid shape.

As per the question ;

You need to know about no. of boxes of markers that will fit in a drawer.

A drawer is a three dimensional solid shape.

To find out the no. of boxes ; we need length , width and height of the drawer , we firstly need to find out volume by multiplying all these aspects.

i.e.,

V = L × B × H

Then ;

We have to divide the volume of drawer by volume of each box.

i.e.,

no. of boxes of markers to fit in drawer = volume of drawer / volume of each boxes

Thus , we need volume of drawer if we have to find the no. of boxes to be fit in a drawer.

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Answer:

\(x + y - x = 6 - y - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5\)

The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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The equation for the line through the point (1,2) with m = -3/4 is y = -3 / 4 x + 11  /4

The equation for the line through (-2,1) & (3,4) is y = 3 / 5x + 11 / 5

The equation of a line in slope intercept form is as follows:

y = mx + b

where

Therefore, the equation for the line through the point (1,2) with m = -3/4 is as follows:

y = - 3 / 4 x + b

2 = -3 / 4(1) + b

b = 2 + 3 / 4  = 8 + 3 /4 = 11 / 4

b = 11 / 4

Hence,

y = -3 / 4 x + 11  /4

The equation of the line that passes through (-2, 1)(3, 4)

m = 4 - 1 / 3 + 2 = 3 / 5

Therefore,

1 = 3 / 5 (-2) + b

1 + 6 / 5 = b

b = 1 + 6 / 5  = 5+6 / 5 = 11 / 5

b = 11 / 5

y = 3 / 5x + 11 / 5

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Step-by-step explanation:

you can use sine rule

like:

30÷sin90=24÷sinG

Answer:

the answer is b, c, d, a, respectively

Answer:

Step-by-step explanation: Multiply 20 by 12 and divied 8 that should give u your answer

All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .

DE² +EF²  = DF²  by the Pythagoras Theorem .

WE are given that AB²  +BC²  = AC²

Since DE = AB and EF = BC , DE²  +EF²  = AC²  by the given data

Also DF² = AC² by the above equation .

Taking the square root on both the sides of the equation gives DF = AC .

So AC is congruent to DF by the definition of congruency .

Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.

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Using the exponential property, mᵃ/mᵇ = mᵃ⁻ᵇ. We have a²/a⁹ is equivalent to a⁻⁷ and 1/a⁷. So option a. and d. are correct.

In mathematics, exponentiation is known to be an operation involving two numbers, a base and an exponent or exponentiation. Exponentiation is written as bⁿ, where b is referred as the base and n is the power of b. That is, bⁿ is the product of n bases.

The definition of exponentiation can be extended to accept real or complex exponents. Powers by integer exponents can also be used for various algebraic structures, including matrices.

The exponentiation method is widely used in many fields such as economics, biology, chemistry, physics, and computer science, and has applications such as compound interest, population growth, the dynamics of chemical reactions, wave behavior, and public key cryptography.

Following are some common exponential properties:

m⁰ = 1

mᵃmᵇ = mᵃ⁺ᵇ

mᵃ/mᵇ = mᵃ⁻ᵇ

m¹ = m

(mᵃ)ᵇ = mᵃᵇ

1ⁿ = 1

(mn)ˣ ≡ mˣnˣ

m⁻¹ = 1/m

Using mᵃ/mᵇ = mᵃ⁻ᵇ,

a²/a⁹ = a²⁻⁹

a²/a⁹ = a⁻⁷                                                     [1]

Since, m⁻¹ = 1/m

a⁻⁷ = 1/a⁷                                                       [2]

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Answer:

this is the ans

Step-by-step explanation:

hope it helps!!!

Answer:

The “center” of a data set is also a way of describing location. The two most widely used measures of the “center” of the data are the mean (average) and the median.

Step-by-step explanation:

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Answer:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

Step-by-step explanation:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Answer:

Step-by-step explanation:

The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 30° angle is (12√6)÷2 = 6/√6.

The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.

The sides of a 45-45-90 triangle are in the ratio 1:1:√2

The hypotenuse is 3√2, so the side opposite the 45° angle is 3.

x = 3

C. the slope of the function is -3/4 and the y-intercept is 7.

D. y= -3/4x + 7 represents this function.

G. the function is decreasing.

To make the dough, he'll need 5 3/4 cups of floor.

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a portion or part of a whole. It symbolizes the equal parts of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.

Here,

10 1/4 cups of flour needed to make a batch=41/4 cups

4 1/2 cups of floor is there=9/2 cups

flour does he need to make the dough,

=41/4-9/2

=(41-18)/4

=23/4

=5 3/4 cups

He needs 5 3/4 cups of floor to make the dough.

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Reflection across y-axis

H(1,-3)=H'(-1,-3)

Z(1,2)=Z'(-1,2)

W(4,1)=W'(-4,1)

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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The length of the sides of the triangles are;

1. Opposite = 11

Adjacent = 19. 0

2. Hypotenuse = 16

Adjacent = 13. 9

Trigonometric identities are described as identities involving trig functions that holds true for all the values that are present in an equation.

The distinct types of these identities are;

From the image shown, we have;

Using the sine identity.

sin 30 = a/22

cross multiply the values

a = 11

Also, using the cosine identity;

cos 30 = b/22

b = 19. 0

For the second triangle;

Using the sine identity;

sin 30 = 8/a

a = 16

Using the cosine identity;

cos 30 = b/16

b = 13. 9

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Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Answer:

x = 3

\(x=-1\frac{1}{3}\) or \(x=-\frac{4}{3}\)

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

\(\frac{3x}{3} :-\frac{4}{3}\)

\(x=-1\frac{1}{3}\)

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

\(x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}\)

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

\(x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}\)

\(x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}\)

\(x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}\)

\(x=\frac{-(-5)±\sqrt{169} }{2(3)}\)

\(x=\frac{-(-5)±13}{2(3)}\)

\(x=\frac{5±13}{6}\)

Two separate equations

One must have a + (positive) and the other will have a - (negative).

\(x=\frac{5+13}{6}\)

\(x=\frac{18}{6}\)

x = 18 ÷ 6

x = 3

\(x=\frac{5-13}{6}\)

\(x=\frac{-8}{6}\)

x = - 8 ÷ 6

\(x=-1\frac{1}{3}\)

Answer:

2n + n³

There you go.

Answer:

2×n^3

Step-by-step explanation:

i believe this is correct