Rewrite the function f(x) = 4(x-3)²-12 in the form f(x) = ax2²+bx+c.

Answer:

I think that it is positive 650.

Answer:

you got it

Step-by-step explanation:

that is itdescribe your answer to gt i wrie u are doing a test

Answer:

A. 8 fl oz = 1 c and/or D. 1 c = 8 fl oz

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

My handwriting is not the best, so let me know if it's not readable.

Check circled solution(s) ->

Answer:

C???

Step-by-step explanation:

The missing statement of the given proof is; ΔAMB = ΔAMD = ΔCMB = ΔCMD

We want to find the statement that has the reason as SAS Congruence Postulate.

SAS Congruence Postulate means that  If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Now, for a rhombus, the 4 sides are all equal and if the point where the diagonals intersect is M, then we can say that;

ΔAMB = ΔAMD = ΔCMB = ΔCMD

This is because all four rectangles formed by the diagonals midpoint are congruent to each other.

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The linear equation to represent the total cost c =  2.25s + 1,347.85.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Using slope

slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)

slope= 1800 - 800

slope= 2.25

and, slope- intercept form

c - 4047.85 = 2.25 ( s- 1200)

c - 4047.85 = 2.25s - 2700

c = 2.25s - 2700 + 4047.85

c =  2.25s + 1,347.85

Hence,  linear equation to represent the total cost c =  2.25s + 1,347.85.

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Coffee shops per capita in city is 7235.294118

What is per capita?

The Latin phrase "per capita" means "by head." In statistics, the term "per capita" is sometimes used in place of "per person" to denote the average per person.

Main Body:

total population of city = 246000

Total coffee shops = 34

Per capita shops for population can be calculated by dividing total population by total shops.

calculatiing,

Per capita shops = total population/ total shops

                            = 246000/34

                            = 7235.294118

Hence number of coffee shops per capita is 7235.294118

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Answer:

im not 100% sure but i think its 24lbs of grass seed

Step-by-step explanation:

6 devided by 399 squared=0.0000376882

0.0000376882 x 6384=0.24060150375

0.24060150375 x 100=

24 lbs to cover a area of 6384 square feet

Answer:

x = 4

Step-by-step explanation:

\(17 + x =21\)

Subtract 17 on both sides

\(x = 4\)

The polynomial f(x) = x⁷ - x⁵ + 5x - 1 has 4 terms and the highest degree is 7

A polynomial is a mathematical expression consisting of variables and coefficients, which are combined using only addition, subtraction, and multiplication.

Term: A term in a polynomial is a single expression that can be added or subtracted to the other terms in the polynomial. A term consists of a coefficient multiplied by one or more variables raised to a power. For example, the term "3x^2" in the polynomial 3x^2 + 2x + 1 is a single term.

Coefficient: A coefficient in a polynomial is a numerical value that multiplies a variable or a set of variables in a term. In the example "3x^2", the coefficient is 3. A coefficient can be a constant value, such as 2 in the term 2x, or a variable, such as x in the term x^2. The coefficient in a polynomial determines the magnitude and the sign of each term in the polynomial.

In the polynomial given;

f(x) = x⁷ - x⁵ + 5x - 1

The term in the polynomial is 4 and the degree of the polynomial is 7 while the leading coefficient is 1

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The expression 3√64¹2 can be rewritten as 3 times the cube root of 64 to the power of 12.

To simplify this expression, we start by finding the cube root of 64, which is 4. The cube root of a number is the value that, when multiplied by itself twice, gives the original number. In this case, 4 * 4 * 4 = 64.

Next, we raise 4 to the power of 12, which means multiplying 4 by itself 12 times. This results in a large number.

Finally, we multiply the result by 3 to get the final expression. The equivalent expression is:

3 * (4^12)

Now, we can evaluate the expression by calculating 4 raised to the power of 12:

4^12 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16,777,216

Finally, we multiply the result by 3:

3 * 16,777,216 = 50,331,648

Therefore, the expression 3√64¹2 is equivalent to 50,331,648.

An association between the two variables can be implied if the relative frequencies vary across the columns.

In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.

An association between the two variables can be implied if the relative frequencies vary across the columns.

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Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

To calculate the probability that the child will not find any of his friends in the first 4 closets he checks, we need to consider the number of ways the friends can be distributed among the closets.

Let's analyze the possibilities step by step:

The first friend can hide in any of the 10 closets.

After the first friend has chosen a closet, the second friend can hide in any of the remaining 9 closets.

Similarly, after the first and second friends have chosen their closets, the third friend can hide in any of the remaining 8 closets.

The total number of ways the friends can choose their closets is given by the product of the number of choices for each friend, which is 10 x 9 x8 = 720.

Now, let's consider the number of ways the friends can be distributed such that none of them are found in the first 4 closets. The child needs to choose 4 closets out of the total 10 closets for searching, and the friends need to choose their closets from the remaining 6 closets.

The number of ways to choose 4 closets out of 10 is given by the combination formula: C(10, 4) = 10! / (4! x (10 - 4)!) = 210.

Similarly, the number of ways the friends can choose their closets from the remaining 6 is given by the product of the number of choices for each friend, which is 6 x 5 x 4 = 120.

Therefore, the total number of ways the friends can distribute themselves among the closets such that none of them are found in the first 4 closets is 210 x 120 = 25,200.

Finally, the probability that the child will not find any of his friends in the first 4 closets he checks is the ratio of the number of successful outcomes (where none of the friends are found) to the total number of possible outcomes:

Probability = Successful outcomes / Total outcomes = 25,200 / 720 = 35 / 1 = 35.

Hence, the probability is 35/1 or simply 35.

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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No, the Leaning Tower of Pisa is not in stable equilibrium. Stable equilibrium refers to an object being in a balanced state where even if it is displaced slightly, it will return to its original position. In the case of the tower, its leaning position indicates that it is not in stable equilibrium.

To determine how much farther the tower can lean before becoming unstable, we need to consider the concept of the center of gravity. The center of gravity is the point where the weight of an object can be considered to act. In the case of the tower, the center of gravity is not directly above its base due to the lean.

As the tower leans further, the center of gravity moves away from the base, creating a greater moment or force that tries to topple the tower. Eventually, this force will overcome the tower's ability to maintain its balance, causing it to become unstable and potentially collapse.

To calculate the maximum lean before instability, we need to determine the angle at which the tower would no longer be able to support itself. This can be done using trigonometry and the tower's dimensions. However, since the tower is a historical landmark and a significant engineering feat, measures have been taken to ensure its stability and prevent it from toppling over.

In conclusion, while the Leaning Tower of Pisa is not in stable equilibrium, it has been stabilized to prevent further leaning and potential collapse. The exact maximum lean before instability is not relevant in this context, as the tower's preservation and safety have been prioritized.

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Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

(a) To find the probability that a player defeats all 3 opponents in a game, we need to multiply the individual probabilities of defeating each opponent. Since the probability of defeating each opponent is 75% or 0.75, we can calculate it as follows:

Probability of defeating all 3 opponents

\(\\= 0.75 * 0.75 * 0.75 \\= 0.4219\)

Therefore, the probability that a player defeats all 3 opponents in a game is \(0.4219\).

(b) To find the probability that a player defeats at least 2 opponents in a game, we need to consider three cases: defeating all 3 opponents, defeating exactly 2 opponents, and defeating exactly 1 opponent. The probability can be calculated as follows:

Probability of defeating at least 2 opponents = Probability of defeating all 3 opponents + Probability of defeating exactly 2 opponents + Probability of defeating exactly 1 opponent

Probability of defeating all 3 opponents

= \(0.4219\) (from part (a))

Probability of defeating exactly 2 opponents

\(= 3 * (0.75 * 0.75 * 0.25) \\= 0.4219\)

Probability of defeating exactly 1 opponent

\(= 3 * (0.75 * 0.25 * 0.25) \\= 0.1406\)

Probability of defeating at least 2 opponents

\(= 0.4219 + 0.4219 + 0.1406 \\= 0.9844\)

Therefore, the probability that a player defeats at least 2 opponents in a game is \(0.9844\).

(c) If the game is played 2 times, we need to find the probability that the player defeats all 3 opponents at least once in the two games. To calculate this probability, we can find the complementary probability that the player never defeats all 3 opponents in both games and subtract it from 1.

Probability of not defeating all 3 opponents in one game

\(= 1 - 0.4219 \\= 0.5781\)

Probability of not defeating all 3 opponents in both games

\(= 0.5781 * 0.5781 \\= 0.3341\)

Probability of defeating all 3 opponents at least once in two games

\(= 1 - 0.3341 \\= 0.6659\)

Therefore, the probability that the player defeats all 3 opponents at least once in two games is \(0.6659\).

By following the above calculations, we can determine the probabilities related to the player's performance in the game.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer: The third option(Aaron had 1 1/3 grams of sugar he is using to fill 1/2 gram packets. how many packets can he fill), and option One(Andrew walked 1 1/3 miles. this is 1/2 the distance he walked yesterday, what is the distance, in miles that he walked yesterday).

Answer: √

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substitute the actual values of the points into the distance formula.

√

(

9

−

9

)

2

+

(

3

−

8

)

2

Step-by-step explanati i hope you under stand

Answer:

\((f - g)(5) = 16\)

Step-by-step explanation:

Given

See attachment for tables

Required

\((f - g)(5)\)

This is calculated as:

\((f - g)(5) = f(5) - g(5)\)

From the table, we have:

\(f(5) = 29;\ \ g(5) = 13\)

So:

\((f - g)(5) = 29 - 13\)

\((f - g)(5) = 16\)

Answer:

Keep it simple: 16

Step-by-step explanation:

Area is about 254.3 square \(mm^2\)

To discover the area of a circle, you want to apply the formulation A = π\(r^2\), where A is the area and r is the radius.

In this example, we have a circular item with a radius of nine millimeters. To find the area, we will plug that value into the formulation and use 3.14 as an approximation for pi.

A = 3.14 x \(9^2\)

A = 3.14 x 81

A = 254.34

So the area of the circular object is about 254.3 square millimeters while rounded to the nearest 10th.

It's far essential to remember to consist of the units, that are square millimeters in this example.

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Answer:

C

Step-by-step explanation:

Answer: c

Step-by-step explanation:

(-3.6, 17)

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer:

Formula for area of a parallelogram;

a = bh

where b is the base, and h is the height

Our height is 64.3

Our base is 4.3

Now we multiply them:-

a = bh

a = 4.3 x 64.3

a = 276.49^2 meters

Answer:

70

Step-by-step explanation:

Answer:

7 out of 28

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Answer: Shouldn't have procrastinated but I'm feeling benevolent

Step-by-step explanation:

We first find the surface area of every face.

7 * 2 = 14

7 * 1 = 7

2 * 1 = 2

add these up to get a surface area for three sides.

14 + 7 + 2 = 23

Since a rectangular prism has 6 sides, the next three sides are identical to the previous three.

23 * 2 = 46.

46 is our answer.

Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

A researcher calculates standard scores using the population mean and standard deviation. The researcher is calculating the Z-score.Z-scores are defined as the number of standard deviations that a score deviates from the mean of its distribution. They're calculated by subtracting the population mean from the raw score and then dividing the difference by the population standard deviation. The Z-score formula is as follows:

Z = (X - μ) / σ

where Z is the z-score, X is the raw score, μ is the population mean, and σ is the population standard deviation.The purpose of calculating standard scores is to measure the relative position of a score within its distribution. Standard scores can be used to compare scores from different populations or distributions that may have different means and standard deviations. The Z-score has a mean of 0 and a standard deviation of 1, making it useful for comparing scores across different distributions. A Z-score greater than 0 indicates that a score is above the mean, while a Z-score less than 0 indicates that a score is below the mean. Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

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