Use the factor theorem to determine if the given binomial is a factor of f(x). f(x) = x + 4x +6x* + 2x - 88 (a)x-1 (b) x+4 Part 1 of 2 (a)x-1(Choose one) a factor of /(x). Х 5 Part 2 of 2 (b)x+4 (Choose one) a factor of f(x). Х 3

$47. 33 for the final answer

Answer:

22 containers

Step-by-step explanation:

Add the oatmeal and chocolate chip, which will give you 45 cookies

Then divide that by 2 and you will get 22.5

Since we're asking for the whole we don't need the .5

so Anna would need 22 containers for each person to get one oatmeal and one chocolate

Answer:

26 ≤ 6

Step-by-step explanation:

$50 is the budget

Art paper = $12

Paints = $6

He gets 2 packs of paper making  it $24

$50 - $24 = $26

26 divided by 6 = 4.33333 (he can only get 4)

For some reason this was a little confusing for me so let me know if I helped at all.

The Value of probability for the distribution is 0.24 and -0.29

Probability distribution is a statistical function that describes all the possible values and probabilities for a random variable within a given range

F(x) = P(X ≤ x) = P(a < X ≤ b) = f(b) - f(a)

The Probability Distribution is given

(1) By looking at the table ,

Value P(x = 0 ) at x =0 is 0.24

Hence , P(x=0) = 0.24

Option b is correct

(2) P(-10 ≤x ≤ 15) = P(x = 15) - P(x = -10)

By using the table ,

=> 0.05 - 0.34

=> -0.29

Option c is correct.

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Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

The probability that the sum of the numbers rolled on the dice is even =1/2.

For the given question,

A fair dice is rolled twice.

Six different results are available with a single roll of the dice (1,2,3,4,5,6)

Therefore, if two dice are rolled, there are a total of 36 possible results, or 6².

Sample space for the sum of even = [(1,1), (1,3), (1,5), (2,2), (2, 4),(2,6), (3, 1), (3,3),(3,5),(4,2),(4,4),(4,6), (5, 1), (5,3),(5,5),(6,2),(6,4),(6,6)]

Total sample space for sum of even = 18

For the probability that the sum of the numbers rolled is even is -

probability (sum is even) = 18 / 36 = 1/2

Thus, the probability that the sum of the numbers rolled is even is 1/2.

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Answer:

The measure of angle i = 114°

Step-by-step explanation:

180-117= 63

180-129= 51

63°+51°= 114°

We are 99% confident that the true difference in population proportions of people in the eastern half of the country who fly to visit family members for the winter holidays and people in the western half of the country who fly to visit family members for the winter holidays is somewhere between -0.422 and -0.114.

Next, we need to calculate the standard error of the difference in sample proportions. This gives us an idea of how much the sample difference in proportions can be expected to vary from the true population difference in proportions. We use the following formula to calculate the standard error:

√((p₁(1-p₁)/n₁)+(p₂(1-p₂)/n₂))

where p₁ and p₂ are the sample proportions, and n₁ and n₂ are the sample sizes. Plugging in the values we have, we get a standard error of 0.094.

Now that we have the sample proportions and the standard error, we can use a confidence interval formula to calculate the range of values that we can be confident contains the true population difference in proportions. For a 99% confidence interval, the formula is:

(sample proportion 1 - sample proportion 2) +/- (critical value x standard error)

The critical value is obtained from a t-distribution table, with degrees of freedom equal to the smaller of (n1-1) and (n2-1). For a 99% confidence level and 44 degrees of freedom, the critical value is 2.689.

Plugging in the values we have, we get a confidence interval of:

0.438 - 0.75 +/- 2.689 x 0.094

= -0.422 to -0.114

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The correct description is that moon is waxing.

The theory used in this question is the lunar cycle, which is the process by which the moon changes its shape and illumination over the course of a month.

The waxing phase of the lunar cycle is when the moon is gradually getting bigger and more illuminated.

The waning phase is when the moon is gradually getting smaller and less illuminated.

The moon is waxing:

This is an accurate description because when the moon changes from a new moon to a full moon, it is said to be waxing.

This means that the moon is gradually getting bigger, and its illuminated side is increasing.

This process is called the waxing phase of the moon's cycle.

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Answer:

because 57 is closer to 60 than 50

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

⇒ Since the coordinate (0, 3) is given, the y-intercept (b) is 3.

⇒ The rate of change is that for every unit that x increases in, the y increases by 2. So, the slope is 2.

⇒ Put all the information is Slope-intercept form, y=mx+b to get:

y = 2x + 3

Hope this helps! :)

Answer:

Step-by-step explanation:

Use ratios to find the required value:

Answer:

q = 1/4

Step-by-step explanation:

-5/4 - (-1/4) = -1

-1/(q-1/2) = 4

-1 = 4(q-1/2)

-1 = 4q - 2

1 = 4q

q = 1/4

The inherent zero is simply a zero. The three instances for both are-

The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.

Some key features of inherent zero are-

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If you think the relationship between the LHS (Left Hand Side) variable and a RHS (Right Hand Side) variable is non-linear, you can/should:

1. Transform the variables: Apply transformations, such as logarithmic, exponential, or power transformations, to make the relationship more linear.

2. Use non-linear regression models: Consider using non-linear regression models, like polynomial, exponential, or logistic regression, to better capture the non-linear relationship.

3. Include interaction terms: Add interaction terms between RHS variables to your model to capture the combined effect of two or more variables on the LHS variable.

By following these steps, you can better account for the non-linear relationship between the LHS variable and the RHS variable in your analysis.

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The function rule for the height of the eagle after s seconds is h(s) = 1284 - 88s.

The height of eagle after 7 seconds is 668 feet.

Given that:-

Height of nest = 1284 feet

Speed of the bald eagle = 88 feet/second

Hence, we can write, after s seconds,

Height of eagle after s seconds =  height of the nest - Time (in seconds) * Speed of the eagle

Hence,

h(s) = 1284 - s*88

h(s) = 1284 - 88s.

From the above equation, we can find the height of the eagle after 7 seconds.

h(7) = 1284 - 88*7 = 1284 - 616 = 668 feet.

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Answer:

117

Step-by-step explanation:

Both the bottom angles are equal so 63 x 2 = 126

360 - 126 = the sum of the two upper angles = 234

The upper angles are equal so 234 /2 equals x.

X equals 117

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

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The volume of the silo is 3140 m³.

The amount of wheat in the silo is 1884 m³

The volume of the pyramid is 4000 cm³.

The Pythagorean theorem is written in the answer.

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

Silo:

Height = 30 m

Diameter = 10 m

radius = 10/2 = 5 m

Silo = cylinder + cone

The volume of the cylinder = πr²h

The volume of the cone = (1/3)πr²h

The volume of the silo:

= πr²h + (1/3)πr²h

= π x 25 x 30 (1 + 1/3)

= 750 x π x (4/3)

= 250 x π x 4

= 1000 x 3.14

= 3140 cubic meters

The amount of wheat in the silo.

= 60% of 3140 cubic meters

= 60/100 x 3140

= 1884 cubic meters

Square pyramid:

Height = 30 cm

Base side = 20 cm

The volume of the square pyramid.

= 1/3 x base area x height

Base area = side² = 20 x 20 = 400 cm²

= 1/3 x 400 x 30

= 400 x 10

= 4000 cm³

The Pythagorean theorem states that in a right-angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

It is used to find the side of a right triangle.

Thus,

The volume of the silo is 3140 m³.

The amount of wheat in the silo is 1884 m³

The volume of the pyramid is 4000 cm³.

The Pythagorean theorem is written in the answer.

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Answer: 17.156

Step-by-step explanation:

A rational number is any number that has a pattern (in decimals) and can be written as a fraction. 17.156 is a terminating decimal. So its a predicting pattern  therefore is a rational number.

Answer:

Write the problem as a mathematical expression.

y=−x²+18x−72

Rewrite the equation in vertex form.

y=−(x−9)²+9

Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.

a=−1

h=9

k=9

Find the vertex (h,k).

(9,9)

Good Luck !

Step-by-step explanation:

Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

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Answer:

42°

Step-by-step explanation:

Since RST is 114 — a ray SV bisects RST, formimg RSV and TSV.

Since TSV is 72° and we do not know the value of RSV which I will determine it as x-term. Since the ray bisects — we have to find the value of x that adds up with 72 and get 114.

Therefore:-

The sum of RSV and TSV equals 114°

\( \displaystyle \large{x + 72 \degree = 114 \degree} \\ \displaystyle \large{x + 72 \degree - 72 \degree = 114 \degree - 72 \degree} \\ \displaystyle \large{x =4 2 \degree}\)

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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Answer:A AND F

step-by-step explanation:

The correct value of variance of the return for this investment is closest to 0.25057.

To find the variance of the return for the investment, we need to calculate the expected return and then use the formula for variance.

The expected return is calculated by taking the average of the possible returns weighted by their probabilities:

Expected return = (35% * 0.35) + (-20% * 0.65)

= 0.1225 - 0.13

= -0.0075

Next, we calculate the variance using the formula:

Variance = \((Return1 - Expected return)^2 * Probability1 + (Return2 - Expected return)^2 * Probability2\)

Variance = (0.35 - (-0.0075))^2 * 0.35 + (-0.20 - (-0.0075))^2 * 0.65

= 0.3571225 * 0.35 + 0.1936225 * 0.65

= 0.12504 + 0.12553

= 0.25057

Therefore, the variance of the return for this investment is closest to 0.25057.

Among the given answer choices, the closest value is 0.151 (option A). However, none of the provided answer choices matches the calculated variance exactly.

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=Question 1-

To determine which equation represents the table, we can compare the given equations to the values in the table. Plugging in the x-values from the table into each equation, we can check if the resulting y-values match the corresponding values in the table.

A. y = 1/2x + 5

For x = -2, y = 1/2(-2) + 5 = 4. This matches the value in the table.

For x = 0, y = 1/2(0) + 5 = 5. This does not match the value in the table.

For x = 4, y = 1/2(4) + 5 = 7. This does not match the value in the table.

B. y = -1/2x + 3

For x = -2, y = -1/2(-2) + 3 = 4. This matches the value in the table.

For x = 0, y = -1/2(0) + 3 = 3. This matches the value in the table.

For x = 4, y = -1/2(4) + 3 = 1. This matches the value in the table.

C. y = 2x - 3

For x = -2, y = 2(-2) - 3 = -7. This does not match the value in the table.

For x = 0, y = 2(0) - 3 = -3. This does not match the value in the table.

For x = 4, y = 2(4) - 3 = 5. This does not match the value in the table.

D. y = -4x + 2

For x = -2, y = -4(-2) + 2 = 10. This does not match the value in the table.

For x = 0, y = -4(0) + 2 = 2. This matches the value in the table.

For x = 4, y = -4(4) + 2 = -14. This does not match the value in the table.

Based on the comparisons, the equation that represents the table is B. y = -1/2x + 3.

Question 2-

To determine which set of ordered pairs represents a function, we need to check if there are any repeated x-values in the set. A function can only have one unique y-value for each x-value.

A. {(−6, −5), (−4, −3), (-2, 0), (-2, 2), (0,4)}

There are repeated x-values (-2) in this set, so it does not represent a function.

B. {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−5, 0)}

There are repeated x-values (-5) in this set, so it does not represent a function.

C. {(-4, −5), (-3, 0), (−2, −4), (0, -3), (2, -2)}

There are no repeated x-values in this set, so it represents a function.

D. {(-6, -3), (-6, -2), (-5, -3), (-3, -3), (0, 0)}

There are repeated x-values (-6) in this set, so it does not represent a function.

Therefore, the set of ordered pairs that represents a function is C. {(-4, −5), (-3, 0), (−2, −4), (0, -3), (2, -2)}.

Question 3-

To determine which equation represents a linear function, we need to look for equations that have a variable (x or y) raised to the power of 1 and do not have any other variables raised to a power.

A. x = -2

This equation represents a vertical line, not a linear function.

B. y = 5x - 6

This equation represents a linear function since it has the variable x raised to the power of 1 and no other variables raised to a power.

C. y = -1/5x²

This equation represents a quadratic function since it has the variable x raised to the power of 2.

D. -3x + 2 = 4

This equation represents a linear function since it has the variable x raised to the power of 1 and no other variables raised to a power.

Therefore, the equation that represents a linear function is B. y = 5x - 6.

Question 4-

To determine which equation represents the table, we can again compare the given equations to the values in the table.

A. y = 1/2x + 5

For x = -2, y = 1/2(-2) + 5 = 4. This matches the value in the table.

For x = 0, y = 1/2(0) + 5 = 5. This matches the value in the table.

For x = 4, y = 1/2(4) + 5 = 7. This does not match the value in the table.

B. y = -1/2x + 3

For x = -2, y = -1/2(-2) + 3 = 4. This matches the value in the table.

For x = 0, y = -1/2(0) + 3 = 3. This matches the value in the table.

For x = 4, y = -1/2(4) + 3 = 1. This matches the value in the table.

C. y = 2x - 3

For x = -2, y = 2(-2) - 3 = -7. This does not match the value in the table.

For x = 0, y = 2(0) - 3 = -3. This matches the value in the table.

For x = 4, y = 2(4) - 3 = 5. This does not match the value in the table.

D. y = -4x + 2

For x = -2, y = -4(-2) + 2 = 10. This does not match the value in the table.

For x = 0, y = -4(0) + 2 = 2. This matches the value in the table.

For x = 4, y = -4(4) + 2 = -14. This does not match the value in the table.

Based on the comparisons, the equation that represents the table is B. y = -1/2x + 3.

Answer:

Question 2: C. {(-4, −5), (-3, 0), (−2, −4), (0, -3), (2, -2)}.
Question 3: B. y = 5x - 6.
Question 4: B. y = -1/2x + 3.

Step-by-step explanation:

Question 2: In a function, each input (x-value) corresponds to exactly one output (y-value). In set C, each x-value is paired with a unique y-value, satisfying the definition of a function.

Question 3: As explained earlier, a linear function has a constant rate of change, and its equation is in the form y = mx + b, where m is the slope and b is the y-intercept. Option B represents this form, indicating a linear function.

Question 4: To determine the equation, we need to find the slope (rate of change) and the y-intercept. By examining the table, we can see that the slope is -1/2 (y decreases by 1 when x increases by 2), and the y-intercept is 3 (the y-value when x = 0). Therefore, the equation y = -1/2x + 3 represents the given table's linear relationship.