50 Points! Multiple choice algebra question. Use synthetic substitution to find f(3) for f(x)=x²-9x+5. Photo attached. Thank you!

By rounding to 1 significant figure 542.04 × 1.88 equal to 1019.0352

is 1019.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given we have to round off 542.04×1.88 = 1019.0352.

Now rounding off to one significant digit means we should have only one digit after the decimal place and the second digit after the decimal place is 3 which is less than 5.

∴ 1019.0352 rounded off to one significant digit is 1019.

learn more about rounding off here :

https://brainly.com/question/13391706

#SPJ5

Answer:

The answer is D.

Step-by-step explanation:

The function g(x) is a linear function with a y-intercept of 6 and a slope of 0, which means it is a horizontal line. Therefore, any function that is not a horizontal line will have a different end behavior than g(x). The statement that correctly compares the two functions is: "They have the same y-intercept but different end behavior." The answer is D.

Answer:

The function g(x) = 4(1) + 2 simplifies to g(x) = 6. This is a constant function that has a y-intercept of 6 and no end behavior. Therefore, it cannot be compared to another function in terms of end behavior. The correct answer is D: They have the same y-intercept but different end behavior.

Let n be an odd integer. By definition, n must be an integer not divisible by 2. Hence, when n2 is divided by 8, the remainder must be 1.

Let n be an odd integer. First, we can express n as 2k+1, where k is an integer. Next, when we square n, we get (2k+1)2. Expanding this gives 4k2+4k+1. Dividing this by 8 gives 4k2+k as the quotient and 1 as the remainder. This proves that the square of an odd integer always have a remainder of 1 when divided by 8.

To summarize, when an odd integer n is squared, the remainder when the result is divided by 8 is always 1. This is because an odd integer is not divisible by 2, and so the quotient will not be a whole number when divided by 8.

Learn more about integer here

https://brainly.com/question/27908445

#SPJ4

The measure of the angle θ in the graph as described in the task content is; 135⁰.

From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.

Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.

Read more on angles;

https://brainly.com/question/25716982

#SPJ1

Answer:

X+2 metres. Just use a^+2ab+b^2

The graph shows linear inequalities 4x+3y≤12 and x≥0.

What are linear inequalities, exactly?

Linear inequalities are mathematical statements that compare two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). These expressions are typically linear, meaning that they involve variables raised to the first power and are not multiplied or divided by one another. Linear inequalities are used to represent a range of values that satisfy the inequality, rather than a single solution. The solutions to a linear inequality can be represented graphically on a number line or in the coordinate plane.

Now,

As we can see from graph that x≥0

and for line take two points on the line

(3,4) and (6,-4)

find equation of line y=mx+c

m=(-4-4)/(6-3)

m=-8/3

and 4=-8/3*3+c

c=12

then the equation will be

4x+3y=12 and inequality will be

4x+3y≤12

Hence,

               the graph shows linear inequalities 4x+3y≤12 and x≥0.

To know more about linear inequalities visit the link

brainly.com/question/11897796

#SPJ1

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

There is higher variability of y with large values of x.

There is a non linear relation between x and y.

We observe from figure b that for lower values of x the residuals are negative and as the values of x increases the residuals become positive but are distributed very close to the zero line.

Again for the extremely high values of x the residuals become negative following a decreasing non linear trend. Hence, from the residual plot we can conclude that the relation between x and y is a non linear one. Hence, the correct option is fourth option i.e, There is a non linear relation between x and y.

Learn more about variability on

https://brainly.com/question/12872866

#SPJ1

The variance of the number of hurricanes in a randomly selected year is 12.5 .

Mean number of hurricanes in a randomly selected year =

0.1 × 20 + 0.3 × 15 + 0.6 × 10 = 12.5

Now, since the sum of independent Poisson random variables also follows Poisson distribution.

Thus, the variance of the number of hurricanes in a randomly selected year = Mean = 12.5

In both statistics and probability theory, variance is the predicted squared deviation of a binomial distribution from its sample proportion or sample mean.

Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance. A few ideas that involve variance are descriptive research, statistical inference, testing hypotheses, goodness of fit, and Monte Carlo sampling.

The variance of a set of uncorrelated explanatory variables is equal to the sum of their variances, making it easier to manipulate mathematically than other measures of dispersion like anticipated absolute deviation.

to learn more about variance visit:

brainly.com/question/17280149

#SPJ4

Answer: You got 80% right

Step-by-step explanation: 100÷20=5     5×16=80

PLEASE MARK ME BRAINLIEST

80% got the right answers out of 20 questions.

percentage, a relative value indicating hundredth parts of any quantity.

The number of questions are twenty 20.

Out of this 20 questions 16 questions are correct.

We need to find the percentage of the right answers.

20x=16

Divide both sides by 20

x=16/20

x=0.8

Now to find the percentage multiply x value with 100 as it is a hundredth part.

0.8×100=80%

Hence, 80% got the right answers out of 20 questions.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

Learn more about equation here:

https://brainly.com/question/556412

#SPJ1

The complete question is:

Step 1: We have a line segment AB

Step 2: Using the compass from points A and B, we draw two arcs above and below the line segment

Step 3: We connect the two points of intersection to draw a Perpendicular bisector that bisects AB on a new point.

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

To know more about factorized .

https://brainly.com/question/14268870

#SPJ11

Answer:

0.8743 = 87.43% probability that more than one accident occurs per year

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year.

This means that \(\mu = 3.1\)

What is the probability that more than one accident occurs per year?

This is:

\(P(X > 1) = 1 - P(X \leq 1)\)

In which

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Then

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-3.6}*(3.6)^{0}}{(0)!} = 0.0273\)

\(P(X = 1) = \frac{e^{-3.6}*(3.6)^{1}}{(1)!} = 0.0984\)

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0273 + 0.0984 = 0.1257\)

\(P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1257 = 0.8743\)

0.8743 = 87.43% probability that more than one accident occurs per year

Step-by-step explanation:

since the total number of players is 44, the Universal set will also be 44.

let C be the set for Comedy

let T be the set for Tragedy

let H be the set for Histories

ξ = { 44 }

C = { 11 }

T = { 17 }

H = { 16 }

probability T = (17/44)

odds of selecting T = probability not T

= 1 - probability T

= 1 - ( 17/44)

= 27/44

you need to give the answer as a ratio of odds of selecting T against chances of selecting T;

if out of 44 players, the chances of not selecting T is 27 and the chances of selecting T is 17, then:

odds against selecting random is, 27: 17

that's the answer. hope this helps you!

-s.

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The number of ways that the top two singers can be selected from a pool of 34 participants is 34 choose 2, which equals 561. Therefore, there are 561 different ways in which the first and second place singers can be selected.

The area of a sector TOP is 89.019 square meter.

Given that, radius of the sector is r=9 m and measure of arc TP = 126°.

Here, ∠TOP =measure of arc TP = 126°.

We know that, area of a sector = θ/360° ×πr²

= 126°/360° ×3.14×9²

= 0.35×3.14×81

= 89.019 square meter

Therefore, the area of a sector TOP is 89.019 square meter.

Learn more about the area of a sector here:

brainly.com/question/7512468.

#SPJ1

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Let's draw a right triangle to guide us:

Every right triangle will have one hypotenuse side and two leg sides. The hypotenuse is always the bigger one and it is always opposite to the right angle, so in this triangle the hypotenuse is a (the letter can change from exercise to exercise, but it is always the opposite to the rignt angle).

The legs can be classified as adjancent or opposite legs, but this is with respect to the angle we are using.

So, if we are using angle C, the opposite leg is the leg that is opposite to angle C, that is, c.

Thus, the adjancent leg is the leg that is touching the angle C, that is, b.

So, with respect to angle C, we have:

Hypotenuse - a

Opposite leg - c

Adjacent leg - b

The sine is the ratio between the opposite leg and the hypotenuse, always.

The cosine is the ratio between the adjacent leg and the hypotenuse, always.

The tangent is the ratio between the opposite leg and the adjacent leg, always.

For, for angle C, we have:

For angle B, we do the same, however now, the legs are switched, because the leg that is opposite to angle B is b and the leg that is adjance to angle B is c, so, for angle B:

Hypotenuse - a

Opposite leg - b

Adjacent leg - c

And we follow the same for sine, cosine and tangent but now for angle B and with the legs switched:

Questions regaring these ratios normally will present 2 values and ask for a third value. One of the values will be an angle, the other will be side (usually). So, we need to identify which angle are we working with and which sides are the hypotenuse, the opposite leg and adjancent leg with respect to the angle we will work with. Then we identify which of the side we will use and pick the ratio thet relates the sides we will use.

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Answer:

look it up

Step-by-step explanation:

sorry for the bad answer.

answer: Kevin received $30,000, and Bob received $70,000.

According to the problem, Bob received $10,000 more than two times what Kevin received. So, Bob received:

2X + $10,000

We also know that the total amount won is $100,000. Therefore, we can write the equation:

X + (2X + $10,000) = $100,000

Simplifying the equation, we get:

3X + $10,000 = $100,000

3X = $90,000

X = $30,000

Therefore, Kevin received $30,000, and Bob received:

2X + $10,000 = 2($30,000) + $10,000 = $70,000

So Bob received $70,000.

Step-by-step explanation:

this is just a warm-up. almost everything is already there. you only need to put the numbers in.

so, what is unclear ?

please, tell me, so that I can help better.

the radius is always half of the diameter. or the diameter is twice the radius.

in our case : 12/2 = 6 cm.

the height is plainly written in the graph : 9 cm

Vcylinder = base area × height = pi×r² × height =

= 3.14 × 6² × 9 = 3.14×36×9 = 1,017.36 cm³

Vcone = 1/3 × Vcylinder = 1/3 × 1,017.36 = 339.12 cm³

Answer:

Step-by-step explanation:

Please can you re-write your question, the question is incomplete and difficult to understand.

Thanks.

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

To know more about Ratio and proportion, visit:

https://brainly.com/question/29774220

#SPJ1

In probability , If you play many  games you will likely lose on average very close to $0.67 per game.

How does probability explain work?

The PDF table

X          p(x)

$17          1/6      =0.1667

$3         2/6       =0.3333

-$9          3/6         =0.5

b) Expected profit = E(X) =17(0.1667) + 3(0.3333) + (-9)(0.5)

                                        = -$0.67  

c) Interpretation of expected value

If you play many  games you will likely lose on average very close to $0.67 per game.

d) No, since the expected value is negative, you would be very likely to come home with less money if you played many games.

Learn more about probability

brainly.com/question/11234923

#SPJ9

Answer:

the answer to 1+1 is 2

:) lol

Answer:

2

Step-by-step explanation:

Answer:

x > 1

interval (1,∞)

Step-by-step explanation:

1/2(-2x - 12) > 7(3 - 4x)

-x - 6 > 21 - 28x

-x + 28x > 21 + 6

27 x > 27

x > 27 / 27

x > 1

interval (1,∞)

-x - 6 > 21 - 28x     if x = 2

-2 - 6 > 21 -28(2)

-8 > 21 - 56

- 8 > - 35