y=xto the power of 2+4x-12

"The given statement is option C."The point I is located three-fourths unit to the right and three-fourths unit up from the origin. So the ordered pair that represents point I is (3/4, 3/4).  Which shows (3/4, 3/4) as one of the options.

It is important to remember that the x-coordinate represents the horizontal distance from the origin and the y-coordinate represents the vertical distance from the origin.

The signs of the coordinates indicate the direction: positive indicates to the right or up, while negative indicates to the left or down. In this case, the x-axis starts at -2 and goes up to 2 with tick marks every one-fourth unit, and the y-axis starts at -2 and goes up to 2 with tick marks every one-fourth unit.

By following the directions given, we can determine the location of each point and its corresponding ordered pair.The point I is located to the right three-fourths unit and up three-fourths unit from the origin. Therefore, the ordered pair that represents the point labeled as I is (3/4, 3/4).

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Answer: 1729 trout.

Step-by-step explanation:

We can use the logistic growth model to estimate the number of trout after 2 years:

N(t) = K / (1 + (K/N0 - 1) * e^(-rt))

where:

N(t) is the number of trout at time t

K is the carrying capacity of the lake (2700 trout)

N0 is the initial population (275 trout)

r is the growth rate (75% or 0.75, per year)

e is the base of the natural logarithm, approximately equal to 2.71828

To estimate the number of trout after 2 years, we can plug in t = 2 and solve for N(t):

N(2) = 2700 / (1 + (2700/275 - 1) * e^(-0.75*2))

N(2) = 2700 / (1 + 8.8 * e^(-1.5))

N(2) ≈ 1728.7

Therefore, we can estimate that the number of trout after 2 years will be approximately 1729 trout.

Answer:

[tex]x^{2}[/tex] + 2x

Step-by-step explanation:

Helping in the name of Jesus.

Answer:

x^{2} + 2x

Step-by-step explanation:

The person who answered above me is correct

Using the central angle theorem, we can find that the value of the angle:

∠ BOC = 130°.

An inscribed angle is the angle formed inside the circle when two chords intersect it. It can also be defined as the angle made by two specific points at a given location on a circle. Instead, an inscribed angle is defined by two circle chords that share an endpoint.

In the given question,

O is the centre of the circle.

OC, OD, OE, OA and OB are all radius of the circle.

AC and BD are the diameters of the circle.

As BD intersects AC and the angles are given as:

∠COD = 50°

∠DOE = 60°

So, ∠ AOE = 180 - 50 - 60

= 70°

Similarly, ∠AOB = 50°.

Now, ∠ BOC = 360° - 50° - 60° - 70° - 50°

= 130°

Therefore, ∠ BOC = 130°.

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Answer and Step-by-step explanation:

We want to find the measure of angle ABD (∠ABD).

We can tell by looking at this triangle that the array BD creates complementary angles (two angles who's sum equals 90°). ∠CBD is given to us, and we want to find ∠ABD. By knowing that these two angles will add up to 90°, we can create a formula to solve for ∠ABD.

90° = ∠ABD + ∠CBD

Plug in the angle for ∠CBD.

90° = ∠ABD + 45°.

Subtract 45° from both sides of the equation.

90° - 45° = ∠ABD + 45° - 45°

45° = ∠ABD

So, angle ∠ABD is 45°.

Have a great day!

Answer:

∠ABD = 45°

Step-by-step explanation:

∠ABC = 90° (right angle)

∴ ∠ABD = ∠ABC - ∠CBD

             = 90° - 45°

             = 45°

For given squares, the area of the light greyed figure will be 9²-x² unit².

What are squares?

In mathematics, a square is a geometric shape with four sides of equal length and four right angles. It is also a special case of a rectangle where all sides have the same length. A square can also be defined as a regular quadrilateral, which means all its interior angles are right angles (90 degrees) and all its sides are congruent.

The area of a square can be calculated by multiplying the length of one side by itself, written as A = s², where A is the area and s is the length of a side.

Now,

side of bigger square=9

side of dark greyed square=x

as

Area of light greyed figure will be = area of bigger square - area of dark greyed square

Area(light greyed)=9²-x²

Hence,

           the area of the light greyed figure will be 9²-x² unit².

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Answer:

First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,

                           (7 + 3/5) x (60) = 456 minutes

Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes.

We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long.

Step-by-step explanation:

An equation of the quadratic function that passes through the points (-2, 0), (2, - 16) and (6, 0) is: D. f(x) = (x - 2)² - 16.

In this exercise, you are required to determine the factored form of the given quadratic function that passes through the points (-2, 0), (2, - 16) and (6, 0).

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided in the graph above, we can determine the value of a as follows:

f(x) = a(x - h)² + k

0 = a(-2 - 2)² - 16

0 = 16a - 16

16 = 16a

a = 1

Therefore, the required quadratic function is given by:

f(x) = a(x - h)² + k

f(x) = y = (x - 2)² - 16

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Based on the given information, we can answer the following questions:

Therefore, the total cost of all the approved projects is 31,390 GHC.

The project with the highest cost is "Restock the computer laboratory with new computers" with a cost of 9,990 GHC.

Percentage of budget = (Cost of buying prizes / Total cost) x 100%

Percentage of budget = (5,270 / 31,390) x 100%

Percentage of budget = 0.1676 x 100%

Percentage of budget = 16.76%

Therefore, 16.76% of the total budget is allocated to buying prizes for awards.

The project with the highest cost in the budget approved by the school management committee is restocking the computer laboratory with new computers, with a cost of GHC 9,990.00.

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Answer:

50mm²

Step-by-step explanation:

divide it into a rectangle and triangle

rectangle = 7x5 = 35

triangle = 1/2x5x(13-7) = 1/2x5x6 = 15

35+15=50

If 0.25 inches on the map represents 400 meters in real life, then 1 inch on the map represents 4 * 400 = 1600 meters in real life. Therefore, 4.5 inches on the map represents 4.5 * 1600 = 7200 meters in real life. So, the distance between the towns is 7200 meters.

Answer:

Step-by-step explanation:

The largest possible difference between two different 3-digit numbers with the same digits in reverse order is 792.

Let's assume the two numbers are ABC and CBA. The largest possible difference is achieved when the digits A and C have the largest possible difference.

If A > C, then the difference would be (ABC - CBA) = (100A + 10B + C) - (100C + 10B + A) = 99A - 99C = 99(A - C).

If A < C, then the difference would be (CBA - ABC) = (100C + 10B + A) - (100A + 10B + C) = 99C - 99A = 99(C - A).

Since we want the largest possible difference, we want to maximize the difference between A and C. The maximum possible difference between two single-digit non-zero numbers is 9. So, we want A = 9 and C = 1.

Therefore, the two numbers are 901 and 109, and the largest possible difference is (901 - 109) = 792.

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The sixth term is -48672 * x^5.

The coefficient of the fourth term is -2880.

The third term in ascending powers of x is 540 * x^8.

To find the terms and coefficients in the expansion of (3x - 2)^10, we'll use the binomial theorem which states that:

(a + b)^n = Σ [C(n, k) * a^(n-k) * b^k] for k = 0 to n

where C(n, k) is the number of combinations (n! / (k!(n - k)!)) and Σ is the summation symbol.

Here, n = 10, a = 3x, and b = -2.

Sixth term:

To find the sixth term, we'll plug k = 5 into the formula (since the index starts from 0):

C(10, 5) * (3x)^(10 - 5) * (-2)^5 = 252 * (3x)^5 * (-32)

The sixth term is -48672 * x^5.

Coefficient of the 4th term:

To find the coefficient of the fourth term, we'll plug k = 3 into the formula:

C(10, 3) * (3x)^(10 - 3) * (-2)^3 = 120 * (3x)^7 * (-8)

The coefficient of the fourth term is -2880.

Third term in ascending powers of x:

In ascending powers of x, the third term corresponds to x^2. Here, k = 2:

C(10, 2) * (3x)^(10 - 2) * (-2)^2 = 45 * (3x)^8 * 4

The third term in ascending powers of x is 540 * x^8.

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Answer:

To compare the two functions, it is necessary to find the x values for which each function is positive.

For f(x), we can solve for when it is positive by setting the equation equal to zero and finding the x-intercepts.

-x^2 + 2x = 0

-x(x - 2) = 0

-x = 0 and x = 2

This tells us that f(x) is positive for (-inf, 0) and (2, inf).

Next, for g(x), we can solve for when it is positive by setting the equation equal to zero and finding the x-intercept.

log(2x+1) = 0

2x + 1 = 1

x = 0

This tells us that g(x) is positive for (0, inf).

Therefore, the interval on which both functions are positive is (0, 2).

Weight of wood block is about 15.5 ounces.

Given that:

Height of block [tex]= 4 \ \text{inches}[/tex]

Diameter of block [tex]= 3 \ \text{inches}[/tex]

1 cubic inch of wood [tex]= 0.55 \ \text{ounces}[/tex]

Find:

Weight of wood block

Computation:

Radius of block [tex]= 3 \div 2[/tex]

Radius of block [tex]= 1.5 \ \text{inches}[/tex]

Volume of toy [tex]= \pi r^2h[/tex]

Volume of toy [tex]= (3.14)(1.5)^2(4)[/tex]

Volume of toy [tex]= (3.14)(2.25)(4)[/tex]

Volume of toy [tex]= 28.26 \ \text{cubic inch}[/tex]

Weight of wood block [tex]= \text{Volume of toy} \times \ \text{0.55 ounces}[/tex]

Weight of wood block [tex]= 28.26 \times 0.55 \ \text{ounces}[/tex]

Weight of wood block [tex]= 15.5 \ \text{ounces}[/tex]

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The significance level, denoted by alpha (α), is a predetermined threshold used in hypothesis testing to determine the probability of rejecting the null hypothesis when it is actually true.

The steps involved in determining the significance level are as follows:

Therefore, the significance level indicates the probability of rejecting the null hypothesis when it is actually true. A smaller significance level (e.g., 0.01) means that the researcher is less willing to accept the risk of rejecting the null hypothesis when it is actually true, while a larger significance level (e.g., 0.05) means that the researcher is more willing to accept that risk.

In conclusion, the significance level is a critical parameter in hypothesis testing that helps researchers make decisions about the null hypothesis. By setting a predetermined threshold for the probability of rejecting the null hypothesis, researchers can control the risk of Type I error (rejecting the null hypothesis when it is actually true) in their statistical analyses.

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Dayna will earn $13.43 in interest after 3 months.

Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is usually expressed as an annual percentage rate, interest expense or revenue is frequently expressed as a dollar amount.(APR).

To calculate the interest earned by Dayna after 3 months, we need to convert the interest rate to a monthly rate, since the time period given is in months.

The monthly interest rate can be calculated by dividing the annual interest rate by 12 (the number of months in a year):

monthly interest rate = 1.8% / 12 = 0.15% per month

Now we can use the formula for simple interest to calculate the interest earned:

simple interest = principal x rate x time

Where:

We know the principal is $2,978, the rate is 0.15% per month, and the time is 3 months. We can plug these values into the formula and solve for the simple interest:

simple interest = $2,978 x 0.0015 x 3

Simplifying:

simple interest = $13.43

Therefore, Dayna will earn $13.43 in interest after 3 months.

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The cell that is indicated by the arrow on the right would fall into population c of the circled areas.

We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.

Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.

The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.

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Based on the information provided, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.

Based on the information given, we can conclude that there is a 95% chance that the true mean for pickup orders falls between $33 and $51, and the true mean for delivery orders falls between $21 and $41. However, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.

To determine if there is a significant difference between the means of the two groups, we need to perform a hypothesis test. We can set up our null hypothesis as "there is no significant difference between the means of the pickup and delivery orders" and our alternative hypothesis as "the average pickup order has a higher amount than the average delivery order."

We can use a two-sample t-test to test this hypothesis. Assuming equal variances, we would calculate the test statistic as

t = (xpickup - xdelivery) / (s / √n)

where xpickup and xdelivery are the sample means for pickup and delivery orders, s is the pooled standard deviation, and n is the sample size for each group.

If our calculated t-value is greater than the critical value at a chosen significance level (e.g. 0.05), we can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups.

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Andres will practice with his band for a total of 6 hours and 45 minutes over these 6 days.

To add these times, we need to find a common denominator for 2, 4, and 8, which is 8.

1[tex]\frac{1}{2}[/tex] can be written as [tex]\frac{4}{8}[/tex],

1[tex]\frac{3}{4}[/tex] can be written as [tex]\frac{7}{8}[/tex],

and 2 can be written as [tex]\frac{16}{8}[/tex].

Now we can add the times:

[tex]\frac{4}{8} +\frac{7}{8} +\frac{16}{8} =\frac{27}{8}[/tex]

So Andres will practice for [tex]\frac{27}{8}[/tex] hours this week.

Next week, he will practice for the same number of hours on each day, so he will practice for a total of [tex]\frac{27}{8}[/tex] hours over the three days.

To find the total number of hours he will practice over the 6 days

[tex]\frac{27}{8} + \frac{27}{8} = \frac{54}{8}[/tex]

Simplifying,

[tex]\frac{54}{8} = 6\frac{3}{4}[/tex]

Andres will practice with his band for a total of 6 hours and 45 minutes over these 6 days.

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Answer:

the ratio of boys to girls in Mr Hegarty's class is 5:3 (in its simplest form).

Step-by-step explanation:

For every 3 girls, there are 5 boys, which can be written as a ratio of 5:3 (boys to girls).

To simplify the ratio, we can divide both sides by the greatest common factor of 5 and 3, which is 1.

Answer:

Number of Walks | Amount Left to Raise

0             | $594

1             | $581

2             | $568

3             | $555

4             | $542

5             | $529

Pattern Rule: The amount left to raise decreases by 13 each time the number of walks increases by 1.

Expression: Let n = the number of walks. Amount left to raise = 594 - 13n

After 2 walks, there is $568 left to raise. You know this because 2 multiplied by 13 (the number subtracted for each walk) is 26. Subtract 26 from 594 to get 568.

Answer: The probability of landing on orange is equal to the probability of landing on purple

Step-by-step explanation:

The spinner has a total of 8 equally-sized sections, and each section has a unique color. Therefore, the probability of landing on any particular section is 1/8 or 0.125.

Looking at the colors on the spinner, we can see that there are two purple sections, two yellow sections, three blue sections, and one orange section.

Therefore, the probability of landing on orange is 1/8 or 0.125, which is equal to the probability of landing on purple (sections 1 and 8). So the statement "The probability of landing on orange is equal to the probability of landing on purple" is true.

On the other hand, the probability of landing on yellow is 2/8 or 0.25, which is greater than the probability of landing on blue (sections 4, 5, and 6), which is 3/8 or 0.375. So the statement "The probability of landing on yellow is less than the probability of landing on blue" is false.

Therefore, the correct statement about probability is "The probability of landing on orange is equal to the probability of landing on purple."

Since 3 has the highest frequency, the mode is 3.Now, the curve is positively skewed if mean is bigger than mean.

Total number is a term used to refer to the sum of two or more individual elements. It is commonly used in the context of mathematics and can refer to the result of addition, subtraction, multiplication, or division. For example, the total number of apples in a basket could be five, the total number of days in a week could be seven, and the total number of people in a family could be four. In any case, the total number is the sum of all the individual elements that are being considered.

Presented to us is a distribution:

{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

We must determine the mean.

Mean is equal to the sum of all observations divided by the total number of observations.

Mean = 52/16

Mean = 3.25

We now determine the mode, which is the observation with the highest frequency, or how frequently it has occurred.

observations per unit of time

4.5 2

3 4

1 2

2 3

4 3

6 1

5 1

Since 3 has the highest frequency, the mode is 3.
Now, the curve is positively skewed if mean is bigger than mean.

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Complete questions as follows-
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

WHAT IS THE MEAN? and WHAT TYPE OF SKEW EXHIBITS? negative, positive, symmetric, zero etc..

Answer:

[tex]\boxed{f^{-1}(x)=\frac{x-3}{-2}}[/tex]

Step-by-step explanation:

The inverse of the function satisfies the following:

[tex]f(a)=b \qquad \implies \qquad f^{-1}(b)=a[/tex]

Given the expression:

[tex]f(x)=-2x+ 3[/tex]

The inverse function can be calculated with the next steps:

[tex]\begin{aligned}f(x)=-2x+3 &\rightarrow y=-2x+3\\&\rightarrow y-3=-2x\\& \rightarrow x= \frac{y-3}{-2} \\&\therefore f^{-1}(x)=\frac{x-3}{-2}\end{aligned}[/tex]

Hope it helps.

[tex]\text{-B$\mathfrak{randon}$VN}[/tex]

[tex]0, 1, 1, 2, 2, 2, 2, 3, 3, 5[/tex], minimum: [tex]0[/tex], maximum: [tex]5[/tex], mean: [tex]2.1[/tex], median: [tex]2[/tex], mode: [tex]2[/tex]. I think the data have zero skew. Its mean, median, and mode are based on [tex]2[/tex]. It shows symmetry.

The value that happens most frequently is the mode. The only averaging that is capable of having zero, one, or several values is the mode. Finding the mode is aided by first sorting the numbers.

The mode formula in statistics is used to determine the mode or mode value for a specific collection of data. It is regarded as the number that consistently appears in a particular set. In other words, the mode or mode value in a data collection is the value or quantity that occurs more frequently or with a specific rate.

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The complete question is:

A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. Does this data have negative, positive, or zero skew?

{2,3,2,2,0,5,2,1,1,3}

Answer:

A, C, E

Step-by-step explanation:

A, C, E

A monomial is a single number, or a single number multiplied by one or more variables.

A variable in a square root or in a denominator is not allowed in a monomial.

The 11th term in the arithmetic sequence 13, 19, 25, 31 is 73.

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed number called the common difference (d) to the preceding term.

To find the 11th term in the arithmetic sequence 13, 19, 25, 31, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where:

an is the nth term

a1 is the first term

n is the number of the term we want to find

d is the common difference

In this sequence, the first term (a1) is 13 and the common difference (d) is 6 (we can see that by subtracting each term from the one before it). So we can plug in the values we know:

a11 = 13 + (11 - 1)6

a11 = 13 + 60

a11 = 73

Therefore, the 11th term in the sequence 13, 19, 25, 31 is 73.

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