if f(x) = 3 - x^2, find f(-2)

Answer:

9/4.

Step-by-step explanation:

Hope this helps! =D

Answer:

We can start by using the tangent formula:

tan(P) = sin(P) / cos(P)

We are not given the values of sin(P) and cos(P) directly, but we can use the Pythagorean identity to relate them:

sin^2(P) + cos^2(P) = 1

We can rearrange this expression to solve for sin(P) in terms of cos(P):

sin^2(P) = 1 - cos^2(P)

sin(P) = ±√(1 - cos^2(P))

Now we can substitute this expression into the tangent formula:

tan(P) = ±√(1 - cos^2(P)) / cos(P)

Substituting the given values and simplifying:

tan(P) = ±√(1 - (2/√85)^2) / (1/√89)

tan(P) = ±√(1 - 4/85) * √89

tan(P) = ±√(81/85) * √89 / 1

We want to express tan P in simplest radical form, so we can simplify the square root by factoring out the greatest perfect square factor of the numerator:

tan(P) = ±(√9/√85) * (√89/1)

tan(P) = ±(3/√85) * (√89/1)

Therefore, the exact value of tan P in simplest radical form is ±(3/√85) * (√89/1).

a group of 237 campers would require 40 campsites (since we cannot have half of a campsite).

How to solve the question?

To determine the number of camp sites required for a group of 237 campers, we can divide the total number of campers by the maximum number of campers allowed per site.

237 campers ÷ 6 campers per site = 39.5

Since we cannot have a fraction of a campsite, we need to round up to the nearest whole number. This is because we need to ensure that there is enough space for all of the campers, and rounding up will ensure that we have enough sites to accommodate them.

Therefore, a group of 237 campers would require 40 campsites (since we cannot have half of a campsite).

It is important to note that while this calculation is a good starting point, it is always a good idea to check with the campground to ensure that they can accommodate a group of this size. Additionally, the campground may have specific policies or procedures in place for reserving campsites for large groups.

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To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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The measure of angle FCD is 130 degrees.

What is an angle?

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus" (which means "corner") is where the word "angle" first arose.

The pair of alternative internal angles that are congruent must first be found. The angles formed on the opposing sides of the transversal EF are known as alternate internal angles since AB and CD are parallel lines. We possess

Angle AGE and angle FCD are alternate interior angles.

Angle AGE measures 130 degrees.

Therefore, we can conclude that angle FCD also measures 130 degrees. So, the measure of angle FCD is 130 degrees.

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The measure of Arc AU is 50⁰. Hence, the correct option is B.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.

arc QU = 88 and <QUA = 111

QDA = 2 <QUA

= 2 X 111

= 222⁰

Now, QUA = 360- 222 = 138

arc AU = QUA - arc QU

= 138- 58

= 50⁰

Hence, the measure of AU is 50⁰.

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-- The given question is incomplete, the complete question is attached below. --

Answer:

50⁰

Step-by-step explanation:

The measure of Arc AU is 50⁰. Hence, the correct option is B.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.

Edge 2023

The weight of the tallest dog which is of height 20 inches on this scatter-plot showing dog heights and their weights is 30 pounds.

The graphs, scatter plots, or scatter charts show the relationship between two variables in a data set that has been analysed.  Both a two-dimensional plane and the Cartesian-system are used to represent the data points. Observing and illuminating correlations between two numerical variables is the main purpose of scatter plots. When the data are viewed as a whole, the dots in a scatter plot show patterns in addition to the values of the individual data points. The Y-axis is used to plot the dependent variable, while the X-axis is used to represent the independent variable or attribute. Using a scatter plot, you may see what happens to one variable when another variable is altered. To determine whether the two variables are connected, a scatter plot is utilised.

The scatter plot shows the dog weights & their heights surveyed.

Data represented on X-axis(independent variable) : heights of dogs

Data represented on Y-axis(dependent variable) : weights of dogs

Lowest weight of dog=5 pounds(approx)

Greatest weight of the dog surveyed=41 pounds(approx)

Lowest height of surveyed dog=5 inches.

Greatest height of surveyed dog=20 inches.

∴The weight of tallest dog with 20 inches if height=30 pounds

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the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".It's possible intended question was to solve variable "if" in the equation "3 + 2 if = 7". In that case, we use algebra to solve for "if" as follows:

what is  variable ?

In mathematics, a variable is a symbol or letter that represents a quantity that can vary or change in value. Variables are used to express relationships between different quantities and to solve equations.

In the given question,

It seems like the question is incomplete or there may be a typo. The equation provided "3 + 2 if = 7" is not solvable as it is.

It's possible that the intended question was to solve for the variable "if" in the equation "3 + 2 if = 7". In that case, we can use algebra to solve for "if" as follows:

First, we can isolate the variable term by subtracting 3 from both sides of the equation:

3 + 2 if - 3 = 7 - 3

Simplifying the left-hand side:

2 if = 4

Finally, we can solve for "if" by dividing both sides by 2:

if = 2

Therefore, the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".

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Someone js help me answer this question:

. simplify  3 + 2 if = 7 ?

Answer: Profit = .95 or 95 cents

Step-by-step explanation:

What is the question here?

If it is profit then the answer is 3.79-2.84

1. Range of Surveyed Students: 1,650 to 1,800 students.

2. Range of Students in Orange County: 39,364 to 42,972 students

To determine the range of surveyed students that agreed with the statement, we need to calculate the minimum and maximum percentages based on the margin of error. Given that 86% of students agreed with the statement and the margin of error is ±3.7%, we can find the range as follows:

Minimum percentage: 86% - 3.7% = 82.3%

Maximum percentage: 86% + 3.7% = 89.7%

Now, we'll apply these percentages to the total number of surveyed students (2,006):

Minimum number of students: 0.823 x 2,006 ≈ 1,650 students

Maximum number of students: 0.897 x 2,006 ≈ 1,800 students

Range of Surveyed Students: 1,650 to 1,800 students

b. To determine the range of grade 10-12 students in OCPS who would likely agree with the statement, we'll apply the same minimum and maximum percentages found earlier (82.3% and 89.7%) to the total number of grade 10-12 students in Orange County Public Schools (47,851):

Minimum number of students: 0.823 * 47,851 = 39,364 students

Maximum number of students: 0.897 * 47,851 = 42,972 students

Range of Students in Orange County: 39,364 to 42,972 students

The above answer is based on the information below provided in the picture;

A research survey of 2,006 public and private school students in the United States (grades 10-12) between April 12 and June 12, 2016 asked students if they agreed with the statement, "If I make a mistake, I try to figure out where I went wrong." The survey found that 86% students agreed with the statement. The margin of error for the survey is +3.7%.

a. Determine the range of surveyed students that agreed with the statement.

Range of Surveyed Students .......................................................

b. In 2022, there were 47,851 students in grades 10-12 in Orange County Public Schools (OCPS). Determine the range of grade 10-12 students in OCPS who would likely agree with the statement, "If I make a mistake, I try to figure out where I went wrong."

Range of Students in Orange County ..................................

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In "Pointed Roofs," Dorothy Richardson makes use of conversation and stream of consciousness to improve her writing. Using stream of consciousness, in the given expert.

An excerpt is indeed a quotation from that other resource that the author introduces with fresh language in a sentence. This phrase is taken from Thomas Jefferson's 1801 inaugural speech: As he warned his audience, "I may often go wrong by defect of judgement," Jefferson admitted the fallibility of human nature. "I shall frequently err through lack of judgement" is the excerpt.

In "Pointed Roofs," Dorothy Richardson makes use of conversation and stream of consciousness to improve her writing. Using stream of consciousness, the author lets readers peek inside the protagonist, Miriam, to understand her feelings and thoughts as they happen. For instance, readers can feel Miriam's mild dizziness 

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The solutions to the equation 2x(x + 1.5) = -1 are x = -1/2 and x = -1.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the distributive property to simplify the left-hand side of the equation:

2x(x + 1.5) = -1

2x^2 + 3x = -1

Now we can move all the terms to one side of the equation:

2x² + 3x + 1 = 0

This is a quadratic equation in standard form, where a = 2, b = 3, and c = 1. We can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-3 ± √(3² - 4(2)(1))) / 2(2)

Simplifying this expression, we get:

x = (-3 ± √(1)) / 4

x = (-3 ± 1) / 4

x = -1/2 or x = -1

Therefore,

The solutions to the equation 2x(x + 1.5) = -1 are x = -1/2 and x = -1.

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The response (i.e. the effect) variable in this study is option (c)  the amount of money a household gives to the zoo's annual fund drive

The response (i.e. the effect) variable in this study is the amount of money a household gives to the zoo's annual fund drive. This is the variable that the study is attempting to predict based on the household's income. The Columbus Zoo is the entity conducting the study, and a household's income is the predictor (i.e. the independent) variable.

The study is focused on the relationship between a household's income and the amount of money it gives to the zoo's annual fund drive, so the response variable is the amount of money given to the fund drive. The study is not attempting to make predictions about all households in Columbus, so option d is not the correct answer.

Therefore, the correct option is (c) the amount of money a household gives to the zoo’s annual fund drive.

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The graph K must represent an investment that was compounded continuously because investments that are compounded continuously increase at a faster rate than investments that use either simple interest or are compounded monthly.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

[tex]A(t) = P_{0}e^{rt}[/tex]

Where:

By critically observing the given graph, we can reasonably infer and logically deduce that the graph with line K represent an investment that was compounded continuously because the principal (initial amount of money) increases at a faster rate

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

A parallelogram with at least two pair of parallel sides is known as a trapezium in geometry (or a parallelogram in American English). The legs of a trapezium are the non-parallel sides, whereas the parallel sides are referred to as the bases. The legs of a zygomatic arch might be equal in length (isosceles) or varied in length (non-isosceles). By averaging the widths of the two bases and multiplying by the height, a trapezium's area can be determined (the perpendicular distance between the two bases). that is Area equals (a + b)*h / 2. where h is the trapezium's height and a and b are the lengths of the base's two parallel sides (the bases).

given

MN can be used in place of XV2 in the equation, and the result is simplified to:

XV² = (1/4) (WX + 18)² + h²

Now, we can add the following expression for XV2 to the equation for WX2:

WX² = 18² + XV²

WX² = 18² + (1/4) (WX + 18)² + h²

Adding and subtracting:

3WX² - 218WX - 18² = 4h²

We can now resolve WX:

WX is equal to (218 sqrt((218)2 - 43(-182))). / (2*3)

WX = 16 or -27

WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

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Answer:

The correct line of reflection that maps the polygon ABCDE to its image polygon A' B' C' D' E' is:

C. Reflection across the x-axis

Explanation:

The given vertices of the original polygon ABCDE are:

A(-3, 3)

B(-3, 6)

C(1, 6)

D(1, 3)

E(-1, 1)

The given vertices of the image polygon A' B' C' D' E' are:

A'(-5, 3)

B'(-5, 6)

C'(-9, 6)

D'(-9, 3)

E'(-7, 1)

Comparing the coordinates of the original polygon ABCDE and its image polygon A' B' C' D' E', we can see that the y-coordinates are negated, while the x-coordinates remain the same. This indicates that the reflection is happening along the x-axis, as it is the line that reverses the y-coordinates while keeping the x-coordinates unchanged.

Therefore, the correct line of reflection is the x-axis, as shown by option C. Reflection across the x-axis.


Double-check this answer i wrote.

The appropriate measure of center for the data on the tickets sold is C. The median is the best measure of center, and it equals 19.

In a box plot, the median is represented by the horizontal line that divides the box into two equal parts. The median is the middle value of the dataset when it is ordered from smallest to largest.

The median is the best measure of center for a box plot. The median is represented by the line inside the box, which in this case is at 19 on the number line.

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Answer:

ccccccccccccccccccccccccc

Step-by-step explanation:

The measure of angle ABD (which is the same as angle CBD) is 45 degrees.

The quadrilateral's opposing sides are equal. Triangles ABC and ABCD have equal angles on either side of their equal sides. In the quadrilateral ACBD, the opposing angles are also equal. A parallelogram is formed by ACBD.

We can use the fact that the total of the angles of a triangle is always 180 degrees to determine the measure of angle CBD. As a result, we have:

Angle ABD + Angle CBD + Angle BCD = 180 degrees

Substituting the given angle measures, we get:

Angle ABD + Angle CBD + 90 degrees = 180 degrees

Simplifying, we get:

Angle ABD + Angle CBD = 90 degrees

But we know that Angle ABD = Angle CBD, so we can substitute:

2 x Angle ABD = 90 degrees

Dividing both sides by 2, we get:

Angle ABD = 45 degrees

So, the measure of angle ABD (which is the same as angle CBD) is 45 degrees.

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Answer:

1 hour and 35 minutes

Step-by-step explanation:

3 hours and 35 minutes + 2 hours and 50 minutes = 6 hours and 25 minutes.

8 hours - 6 hours and 25 minutes = 1 hour and 35 minutes

The area of the floor of the igloo is 842.9 m²

We know that the formula for the volume of hemisphere is given by,

V = (2/3) × π × r³

where r is the radius of the hemisphere

Here, a hemisphere igloo has a volume of about 9,202.8 m³

Using above formula of the volume of hemisphere,

V = (2/3) × π × r³

9202.8 = (2/3) × π × r³

r³ = 9202.8 × (3/2π)

r³ = 4394.01

r = 16.38 m

We know that the area of the floor of the igloo is equivalent to the area of circle, as the base of hemisphere is a circle.

So, the area of the floor of the igloo would be,

A = π × r²

A = π × 16.38²

A = 842.9 m²

Therefore, the required area is 842.9 m²

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To find the values of x for which (x2 − 4)(x + 3) = 0, we can use the zero product property which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for x:

(x2 − 4) = 0 or (x + 3) = 0

Solving for x in the first equation, we get:

x2 = 4 x = ±2

Solving for x in the second equation, we get:

x = −3

Therefore, the values of x for which (x2 − 4)(x + 3) = 0 are −2, 2, and −3. The answer choices that correspond to these values are R. −2, S. 2, and P. −3.

Step-by-step explanation:

Refer the attachment!!~

Answer:

Step-by-step explanation:

Answer:

(4, 0)

Explanation:

The difference between -5 and -1 is 4 and the difference between-3 and -3 is 0.

The side length of the square that has the given area would be = 1/4

To calculate the side length of a given square the formula for the area of a square should be used. That is;

Area of a square = a²

where;

a = length = ?

area = 1/16

That is = 1/16 = a²

a = √1/16

= 1/4

Therefore the side of the square whose area is given should have the length of 1/4

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Kalani deposited $200 into her checking account every week and $400 into her savings account every month.

A group of equations that must be solved simultaneously is referred to as a system of equations. Typically, a system of equations involves multiple variables, and the goal is to find the values of those variables that satisfy all of the equations in the system.

Let's start by using the given information to write equations for the total amount deposited in each account over the course of the year.

For the checking account, Kalani deposited x dollars every week for 52 weeks, so the total amount deposited for the year is:

52x

For the savings account, Kalani deposited y dollars every month for 12 months, so the total amount deposited for the year is:

12y

We are also told that each checking account deposit was half the amount of each savings account deposit, so we can write:

x = (1/2)y

Finally, we are given that the total of all deposits for the year was $15,200, so we can write:

52x + 12y = 15200

A system of two equations with two variables is now available:

x = (1/2)y

52x + 12y = 15200

We can solve this system to determine the values of x and y. The result of putting the first equation into the second equation is:

52(1/2)y + 12y = 15200

Simplifying:

26y + 12y = 15200

38y = 15200

y = 400

Substituting y = 400 into the first equation, we get:

x = (1/2)y = (1/2)(400) = 200

Therefore, Kalani deposited $200 into her checking account every week and $400 into her savings account every month.

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For given data, Carrie threw the ball highest = 35ft and ball stayed in the air longest = 3s for Carrie as well.

Any object that is fired into the air and travels in that direction is referred to as a projectile. Gravitation, however, is another force that an object experiences after the first force that pushes it.

Three distinct individuals, Alberto, Ben, and Carrie, each toss a ball straight up into the air.

Following equation may be used to explain Alberto's throw.

[tex]H = -16t^2 + 32t + 4[/tex]

Now , to find the maximum height, we solve for first derivative w.r.t.t,

[tex]-32t + 32 = 0[/tex]

[tex]32t=32\\t = 1s[/tex]

Using t=1, we can find maximum height as

[tex]H =-16(1)^2 + 32(1) + 4\\\\H=(-16)+32+4[/tex]

[tex]H= 20[/tex] ft

Thus, when Alberto threw ball, maximum height attained= 20 ft and total time duration ball was in air = 1s.

From the given table( refer to attached image),

Fom given table,

we can drive the function for maximum height as,

[tex]H=at^2+bt+c[/tex]

now, putting values of t, to get values of H,

from table, for t=0,H=6

6=[tex]a(0)+b(0)+c[/tex]

[tex]c=6[/tex]

[tex]H=at^2+bt+6[/tex]

for t=1,H=14

[tex]14=a(1)^2+b.1+6\\\\8=a+b............(1)[/tex]

similarly,for t=2,H=14

[tex]14=a(2)^2+b.2+6\\\\8=4a+2b........(2)[/tex]

solving equation 1 and 2,

a=(-4) and b=12

∴[tex]H=-4t^2+12t+6[/tex]

we know, [tex]t=\frac{-b}{2a}\\\\t=\frac{-12}{-8}=3/2=1.5s[/tex]

When Ben threw ball, the maximum height ball attained was 14 ft and total time duration for which ball was in air was 1.5 seconds.

From the given graph(refer to attached image),When Carrie threw the ball Maximum Height attained = 35ft and Time duration ball was afloat is 3s

Thus,When Carrie threw the ball attained Maximum Height 35ft  and ball stayed in the air longest.

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Complete Question: A ball is thrown straight up into the air by three different people, Alberto, Ben and Carrie. Below are different representations of their throws. Alberto’s throw can be described by the equation height=−16(time)^2+32(time)+4 Ben's throw can be described by the following table(refer to attached image).Who threw the ball highest and for whom the ball was in air for the longest?

Using probability, we can find the following:

a. In the figure.

b. The probability that the first set is green is = 0.8

c. Probability that the second set is green is = 0.06

d. The probability that both the sets are green is = 0.48

e. The probability that at least one set is green is = 0.86

The likelihood that an event will occur is described by probability. There are many circumstances in real life where we may need to foresee how something will turn out. We might be able to predict the outcome of an event or we might not. At this point, we say, "There is a chance that the event will happen or not."

Here in the question,

b.

The probability that the first set is green is:

P = 1 - 0.2

= 0.8

c.

Now the first set is given as not green.

Probability that the second set is green is:

p = 0.2 × 0.3

= 0.06

d.

Now probability that both the sets are green is:

P = 0.8 × 0.6

= 0.48

e.

When both the sets are not green, probability is:

0.2 × 0.7

= 0.14

So, probability that at least one set is green is:

P = 1- 0.14

= 0.86

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a. Angle 1 and angle 2 are equal because they are alternate to each other

b. since angle 1 and angle 2 are equal, arc AC and BD will be equal too

c. Parallel lines will intercept congruent arcs.

When any two parallel lines are cut by a transversal, there are various pairs of angles that are formed.

These angles are corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.

Therefore , angle 1 and 2are alternate to each other, this means that they are equal.

Since the two angles are equal , the corresponding arc formed by the two angles are also equal.

This means parallel lines will intercept congruent arcs

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Answer:

Answers below

Step-by-step explanation:

Answer for 10

6x3=18 --> 18×4=72

6x6=36 --> 36x2=72

72+72=144

144

Answer for 11

18x6=108 --> 108x2=216

20x6=120 --> 120x2=240

20x18=360 --> 360x2=720

216+240+720=1176

1176

Answer for 12

10x7=70 --> 70x2=140

20x7=140 --> 140x2=280

20x10=200 --> 200x2=400

140+280+400=820

820

Answer for 13

16x16=256 --> 256x4=1024

16x20=320 --> 320x2=640

1024+640=1664

1664

Sorry I forgot how to calculate triangles.