is this a relation or a function explain your answer

Answer:

1.67years

Step-by-step explanation:

in one it increases by 1.1% of 7.1 billion

=7.81 million

dat is it increases 7.7181 billion in 1 year

it reaches 12 billion in x years

therefore x years = 12 billion/ 7.7181 billion

= 1.67 years

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Answer:

B

Step-by-step explanation:

the range of y=|x| is not all real numbers its [0,inf)

sign - ...

Zekrom

Thus , the probability of that  a) a flush (5 cards of the same suit) is  .198% and probability of a 3 card of same rank and2 from single other rank is  0.07612 %

The field of mathematics known as probability studies numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty.

Here,

a) It doesn't matter what suit the first card is. Any of the suits may be drawn first, provided that the following four cards are taken from the same deck and have the same suit.

The deck contains 13 of each suit, so after the first card is pulled, there are only 12 of that suit remaining. There are then 11 remaining for the third card, 10 remaining for the fourth card, and 9 remaining for the fifth and final card. The deck will also contain one fewer card overall each time.

(ℎ) = (2   ) ∙ (3   ) ∙ (4ℎ   )\s∙ (5ℎ   )

(ℎ) = \(\frac{12}{51} *\frac{11}{50} *\frac{10}{49} *\frac{9}{48}\)

(ℎ) =11880 / 5997600

(ℎ)= 33/16660 = .00198  .198%

c) The probability of a 3 card of same rank and2 from single other rank

Since there are 13  ranks in the cards

So, P =  \(\frac{13}{52} * \frac{12}{51} *\frac{11}{50} *\frac{13}{52} *\frac{12}{51}\)

P = 267696/351655200

P=0 .0007612 or 0.07612 %

Thus , the probability of that  a) a flush (5 cards of the same suit) is  .198% and probability of a 3 card of same rank and2 from single other rank is  0.07612 %

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Answer:

equal to 1

Step-by-step explanation:

9 x 1/9 = 9/9 = 1

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-Chetan K

Answer:

equal to one

Step-by-step explanation:

9 times 1/9 is one

The given figure is made up of a square, rectangle and an arc as shown in the figure. The perimeter will be 38 units and the area will be 95 square units.

Perimeter the the total length of the boundaries. Here we know all the lengths except the length of the arc.

Length of an arc = θ/360 × 2πr

 Here θ = 90

So length = 90/360 × 2× 3.14× 5 = 7.85 units

So perimeter = 10 + 5 + 7.85 + 5 + 10 = 37.85 ≈ 38 units

Area is formed by a rectangle, square and an arc

Area of the given rectangle = l×b = 10× 5 = 50 sq. units

Area of the square = s² = 5² = 25 sq. units

Area of the sector =  θ/360 × πr² = 90/360× 3.14× 5² = 19.64 sq. units

So the total area = 50 + 25 + 19.64 = 94.64 ≈ 95 sq. units

So perimeter is 38 units and area is 95 units².

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The complete question is:

This figure is made from a part of a square and a part of a circle.

What is the perimeter of this figure, to the nearest unit?

What is the area of this figure, to the nearest square unit?

Diagram provided as image.

As per the Maclaurin series, the value of the function is written as 2.8521

The term Maclaurin series is defined as  a function that has expansion series that gives the sum of derivatives of that function.

Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

And we need to find the sum of series by using the Maclaurin series as

Now, the sum of series is calculated as,

=>f(n) =  \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

When we put the value on n = 0, then we get,

=> f(0) = [1 x 3.14]/1] =  3.14

Now, we have to put the value of the function, the value of x as 1,

Then we get,

=> f(1) = [-1 x 9.8596] / [16 x 2]

=> f(1) = -0.308

And then we have to put the value of function for the value of x as 2,

Then we get,

=> f(2) = [1 x 30.959] / [64 x 24]

=> f(2) = 0.0201

Then the sum of the series is

=> 3.14 - 0.308 + 0.0201

=> 2.8521

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Answer:

yes

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°

The polynomial q(x) = x^3 + 4x^2 + 10x + 7 can be factorized as \(q(x) = (x + 1)(x^2 + 3x + 7)\), confirming that x + 1 is a factor. The complex roots of q(x) are \((-3 + i\sqrt{23} )/2\) and \((-3 - i\sqrt{23} )/2\). The equation x = cos(x) has at least one real solution, as shown by graph analysis and the Intermediate Value Theorem.

a) To show that x + 1 is a factor of \(q(x) = x^3 + 4x^2 + 10x + 7\), we can use synthetic division or long division to divide q(x) by x + 1. Performing the division, we find that \(q(x) = (x + 1)(x^2 + 3x + 7)\). This shows that x + 1 is indeed a factor of q(x).

To find all complex roots of q(x), we set the quadratic factor \(x^2 + 3x + 7\) equal to zero and solve for x using the quadratic formula. Applying the formula, we have \(x = (-3 \pm \sqrt{(-23)} )/2\). Since we have a negative value under the square root, the roots are complex. Therefore, the complex roots of q(x) are \(x = (-3 + i\sqrt{23} )/2\) and \(x = (-3 - i\sqrt{23} )/2\).

b) To show that there exists x ∈ R such that x = cos(x), we can graph the two functions y = x and y = cos(x) on the same coordinate system. By observing the graph, we can see that there is at least one point of intersection between the two curves. This point represents a value of x in the real numbers such that x = cos(x).

The existence of this solution can also be proven using the Intermediate Value Theorem. Since the cosine function is continuous, and cos(0) = 1 and cos(π/2) = 0, by the Intermediate Value Theorem, there must exist a value of x between 0 and π/2 such that cos(x) = x.

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Answer:

B

t = 40+ (3 x d) + (2 x d)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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An appropriate alternative hypothesis is: The mean of a population is not equal to 125.Explanation:An alternative hypothesis (H1) is a statement that describes or postulates that there is an effect or difference between two groups. An alternative hypothesis may be in the form of "less than," "greater than," or "not equal to" a particular value. It is an assumption that challenges the null hypothesis.

The null hypothesis (H0) is a statement that describes or postulates that there is no significant difference or effect between two groups. It is assumed that the treatment or independent variable does not have any effect on the dependent variable, and any difference observed is a result of chance or sampling error.

In the given question, the null hypothesis is given as "The mean of a population is equal to 125." Thus, an appropriate alternative hypothesis would be that the mean of a population is not equal to 125. So, the appropriate alternative hypothesis would be: "The mean of a population is not equal to 125."

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Step-by-step explanation:

a. Belle as she only missed 50 questions where as Aurora missed 78. (500-450) and (650-572)

b. Belle scored 90% (450/500=0.9)

Answer:

a. Belle scored better, by scoring 2% more than Aurora.

b. She scored 90%

Step-by-step explanation:

Make your denominator out of a 100

So you will divide by 6,5

572÷6,5/650÷65

= 88/100

=88%

And divide the other by 5

450÷5/500÷5

=90/100

=90%

The value of x is -3.

Given,

\(m \angle{DRS}= x+143 \\m \angle{QRS}= 167\\m \angle{QRD}= x+30\)

\(m \angle{DRS} +m \angle{QRD} = m\angle{QRS}\)

x+143+x+30 = 167

2x = 167-173

2x = -6

x = -3

We add the two angles in it to find the value of x.

What are angles?

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Angles' Components

Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.

Arms: The angle's two sides are linked at a single end. The arms of an angle are OA and OB.

Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.

The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.

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Answer:

Negative

Step-by-step explanation:

Assume that you mean if c÷d is positive or negative when c > 0 and d < 0

c > 0 means that c is positive

d < 0 means that d is negative

positive divides negative is always negative.

Thus, c÷d is negative when c > 0 and d < 0

Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

Answer:

To find Rs(1,0) and Rt(1,0), we need to use the chain rule of partial differentiation.

Rs(1,0) can be found by computing the partial derivative of R with respect to s, while holding t constant and then evaluating the result at (1,0). Similarly, Rt(1,0) can be found by computing the partial derivative of R with respect to t, while holding s constant and then evaluating the result at (1,0).

Using the chain rule, we have:

Rs = Fu * us + Fv * vs

Rt = Fu * ut + Fv * vt

We are given the values of u, v, us, ut, vs, vt, Fu, and Fv at the point (1,0) and the values of u and v at the point (2,3). We can use these values to compute Rs(1,0) and Rt(1,0) as follows:

Rs(1,0) = Fu(2,3) * us(1,0) + Fv(2,3) * vs(1,0)

= (-1) * (-2) + (10) * (5)

= 52

Rt(1,0) = Fu(2,3) * ut(1,0) + Fv(2,3) * vt(1,0)

= (-1) * (6) + (10) * (4)

= 34

Therefore, Rs(1,0) = 52 and Rt(1,0) = 34

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

a is the same as c b and d/8 are the same so b=8  

Step-by-step explanation:

Answer:

you are missing B = 8

Step-by-step explanation:

if this is helpful please like this i need points

Solution:

Given:

The domain of a function is the set of input values for which the function is defined.

For the function f(x), it is undefined when the denominator is zero.

Hence, equating the denominator to zero, we get the undefined points.

This means there is an undefined point at x = 64

Thus, the domain of the function is all real numbers except 64.

Hence, the domain is;

In interval notation, the domain is;

As a result, the final number or expression is g(g(1-3w)) ≈ -12w + 10 (without parenthesis).

When adding extraneous information or perhaps an afterthought to a sentence, parentheses, a pair or punctuation marks, are most frequently utilized. Two curving vertical lines can be seen in parentheses: ( ).

We must first evaluate g(1-3w) and then re-insert that result into g(x) in order to determine g(g(1-3w)).

We must first determine g(1-3w):

Substitute x with 1-3w to get g(x) ≈ 2x + 2 and g(1-3w) ≈ 2(1-3w) + 2.

g(1-3w) ≈ 2 - 6w + 2  (distribute the 2)

g(1-3w) ≈ -6w + 4 (combine similar terms) (combine like terms)

We can again again enter the result of g(1-3w) into g(x):

If you substitute g(1-3w) for x, then g(x) ≈ 2x + 2 g(g(1-3w)) ≈ 2(-6w Plus 4) + 2

g(g(1-3w)) ≈ -12w + 8 + 2 (allocate the 2) (distribute the 2)

g(g(1-3w)) ≈ -12w + 10 (combine comparable terms) (combine like terms)

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Answer:

√5(√5 + √20)

= √5√5 + √5√20

= √25 + √100

= 5 + 10

= 15

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

Answer:

Step-by-step explanation:

I am so sorry, but I actually don’t know how to do that. What grade is this? Dang it this is really hard.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

here is the ananswer

Step-by-step explanation:

red go to red and black to black

Answer:

Y-intercept is -1

Step-by-step explanation:

Slope-intercept form:

y=mx+b

b=y-intercept

m=slope

y=3x-1

b=-1

Hope this helps!

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The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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