Fill in the blanks: for a and b

when the value of (x) is close to 2 for the function F(x)=1/x-2 moving to either a very large positive or very large negative  number.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

we can see from the graph,

when the value of (x) is close to 2 for the function F(x)=1/x-2 moving to either a very large positive or  very large negative  number.

Because, the function keeps extending

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Answer:

a = 60

b = 60

Step-by-step explanation:

Vertical angles are congruent to each other

Vertical angle pairs:

AXE = YXC = 30

a = b

BXA = DXC + 90

Line AC is 180 degrees because of definition of a straight line.

This means AXE + b + DXC = 180 (Parts Whole Postulate)

Substitute given angle measurements

30 + b + 90 = 180

b = 180 - 12

b= 60

Since b=a, that means a = 60

Hope this helps :)

Have an awesome day!

Answer:

a = 60 degrees, b = 60 degrees

Step-by-step explanation:

30 + b would be a complementary angle which is 90 degrees.

30 + b = 90

b = 60

a would also be 60 degrees because they are vertical angles.

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

Step-by-step explanation:death below ocean

Mount above

Singapore above

Step-by-step explanation:

A negative altitude is below sea level.

A positive altitude is above sea level.

An elevation of zero is at sea level.

Death Valley sits at an elevation of –282 feet.  negative: below sea level

The elevation of Mount Whitney is 14,494 feet.  positive: above sea level

The elevation of the Singapore Strait is 0 feet. zero: at sea level

The coordinates of point R' are given as follows:

(8,1).

The four translation rules are defined as follows:

The coordinates of points Q and Q' are given as follows:

Q(6,3), Q'(8,3).

Hence the translation rule is given as follows:

(x,y) -> (x + 2, y).

The coordinates of point R are given as follows:

R(6,1).

Hence the coordinates of point R' are given as follows:

(6 + 2, 1) = (8,1).

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In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:

1

Step-by-step explanation:

Anything multiplied 1 is that number

Answer:

1

Step-by-step explanation:

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The cow will get only 10% energy from the hay as the transfer of energy from a lower to a higher trophic level follows the ten percent law.

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

You are correct it is A. cos B

Step-by-step explanation:

Step-by-step explanation:

Step

\(x = - \frac{8}{11} \)

1:Expand

\(−3x−6=5x+5\)

Step 2:Add both sides 3x

\(−6=5x+5+3x\)

Step 3:Subtract 5 from both sides.

\(−6−5=8x

\)

Step 4:Simplify -6-5−6−5 to -11−11.

\(−11=8x

\)

Step 5:Divide both sides by 88.

\(x=− \frac{8}{11}

\)

I hope it helps you!!!

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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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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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

There is sufficient evidence at α = 0.01 level to conclude that proportion of cranberries is different than 7% because 0.004 < 0.01

The main pillars on which proportion is explicated are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers.

Null hypothesis, H0:p=0.07

Alternative hypothesis, Hα:p≠0.07

Sample size (n)= 600

Sample proportion of cranberries (p') = 0.10

Test statistics z = 2.88

P-value = 0.004

To prove that the percentage of cranberries that have been bruised is different from 7%, we must demonstrate that there is sufficient evidence at the α = 0.01 level of significance.

Therefore, it is clear that P-value = 0.004 is lower than α = 0.01  

We come to the conclusion that our null hypothesis is false. (Since p value <alpha, the null hypothesis is rejected.)

Thus the correct answer is Yes, because 0.004 < 0.01

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The probability will last longer than 2 years will be 3.3%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

First let us calculate the z score using the formula:

\(z = \dfrac{(x- \mu)} { s}\)

where x = 2, u is the mean = 3.1 years, and s is the standard deviation

\(z =\dfrac{ (2 - 3.1) }{ 0.6}\)

z = -1.83

From the standard probability tables, the p-value at z = -1.83 is:

P = 0.033 = 3.3%

Therefore the probability that will last longer than 2 years will be 3.3%.

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A share of stock is quoted at 25 1/4. If you have 30 shares of stock that were purchased at 20 1/4 and you sell them at 25 1/4, what is your profit or loss?A share of stock is traded on the stock market, and the stock price is determined by the supply and demand of the stock.

The stock market is a market where stocks are traded. Stocks can be bought and sold on the stock market, and the price of a share of stock is determined by supply and demand.Suppose you purchased 30 shares of stock at 20 1/4 dollars per share.

The total cost of the 30 shares is calculated as follows:20 1/4 dollars/share × 30 shares = $607.50.The share of stock is now priced at 25 1/4 dollars per share.

The total revenue you would earn if you sold all of your shares at this price is calculated as follows

:25 1/4 dollars/share × 30 shares = $757.50.

The profit or loss on the stock transaction is calculated as follows:

Profit or loss = Total revenue - Total cost= $757.50 - $607.50= $150.

If the stock is sold at 25 1/4 dollars per share, the profit is 150 dollars.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

Laws of Exponents. When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Step-by-step explanation:

Well not exactly a way to explain the answer.

Answer:

When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Step-by-step explanation:

Google

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

-------------------------------------------------------------------------------------------------------------

The correct statement regarding the exponential function in this problem is given as follows:

D. Decay, (0,3).

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The function for this problem is given as follows:

\(f(x) = 3\left(\frac{1}{2}\right)^x\)

Then the parameter values are given as follows:

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Answer:

C.

Step-by-step explanation:

To get a perpendicular line, the slope will be the opposite of what you currently have. You have a slope of 2, so the opposite reciprocal slope will be -1/2. Then, you use the equation y = mx+b and substitute (2,5) for the y and the x (2 for the x and 5 for the y). This is to solve for b. Then, you have your equation! Hope this helped.

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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The scale factor that has been used is 1/2

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

Side length on red = 6 units

Corresponding side length on green = 3 units

Given that the red rectangle is the pre-image and the green rectangle is the image

We have

Scale factor = Green/Red

So, we have

Scale factor = 3/6

Evaluate

Scale factor = 1/2

Hence, the scale factor is 1/2

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Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation \( =\frac{12}{6}= 2\)

The measure of the angles in the given figure of the triangle is given by: m∠1= 56  ,m∠2= 56 and m∠3= 74.

As given in the question,

In the given triangle MPQ we have,

Sum of all the interior angles in the triangle is 180 degrees.

m ∠P + m ∠M + m∠1 =180°

⇒58° + 66° + m∠1=180°

⇒m∠1= 180° - ( 58° + 66°)

⇒m∠1=56°

From the figure , ∠1 and ∠2 are vertically opposite angles:

⇒m∠1= m∠2

⇒m∠2=56°.

In triangle QNO we have,

m ∠O + m∠2 + m∠3 =180°

⇒50° + 56° +m∠ 3=180°

⇒106° + m∠3= 180°

⇒m∠3= 180° - 106°

⇒m∠3=74°

Therefore, the measure of the required angles in the given triangles are m∠1= 56  ,m∠2= 56 and m∠3= 74.

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Answer:

$37623.04

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

\(I=p*r*t\)

Where:

P is the principal amount, $1088.00.

r is the interest rate, 839.5% per year, or in decimal form, 839.5/100=8.395.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 1088 × 8.395 × 4 to get that:

The interest is: $36535.04

Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),

or 1088.00 + 36535.04 = 37623.04.