What might you consider when deciding whether to use rounding or compatible numbers to estates explain

From the composite functions, gog^-1(-3) = 3.

Finding the inverse of g(x):

Let y = g(x)

Then, we can solve for x in terms of y:

y = (x + 7)/(1 - x)

y(1 - x) = x + 7

y - yx = x + 7

y - 7 = x + yx

y - 7 = x(1 + y)

x = (y - 7)/(1 + y)

So, g^-1(x) = (x - 7)/(1 + x)

Now, we can find the composite functions:

gog^-1(x) = g[(x - 7)/(1 + x)]

= [(x - 7)/(1 + x) + 7]/[1 - (x - 7)/(1 + x)]

= [(x - 7) + 7(1 + x)]/[1 + x - (x - 7)]

= (8x)/8

= x

Therefore, gog^-1(x) = x.

g^-1og(x) = g^-1[(x + 7)/(1 - x)]

= [(x + 7)/(1 - x) - 7]/[1 + (x + 7)/(1 - x)]

= [(x + 7 - 7 + x)]/[1 - x + 7 + x/(1 - x)]

= (2x)/(2 - x)

Therefore, g^-1og(x) = (2x)/(2 - x).

g^-1og(3) = g^-1[(3 + 7)/(1 - 3)]

= g^-1[-5]

= (-5 - 7)/(1 + (-5))

= (-12)/(-4)

= 3

Therefore, g^-1og(3) = 3.

gog^-1(-3) = g[(-3 - 7)/(1 - (-3))]

= g[-1]

= (-1 + 7)/(1 - (-1))

= 6/2

= 3

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Answer:

rap music

Step-by-step explanation:

^

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

Therefore, the relative accuracy of features plotted on the map is 500 meters.

To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.

Given:

Relative accuracy = 90%

Accuracy within 5 mm

To convert millimeters to meters, we divide by 1000:

5 mm = 5/1000 = 0.005 meters

Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.

To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):

Relative accuracy = 0.005 meters * 100,000 = 500 meters

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To find the corresponding x where the function assumes a certain value, we draw a horizontal line on the desired function value. For f(x) = 2, we have:

The intercept between the horizontal line and our graph happens at (0, 2), therefore, we have:

To evaluate graphically a function, we check the corresponding value for the desired x value on the horizontal axis. For x = 2, we have:

Then

Answer:

DBC = 122 - 71 = 51°

Step-by-step explanation:

Answer:

Step-by-step explanation:

122-71 =  51°

Answer:

yes

Step-by-step explanation:

yes

Assuming the function is \(f(x,y)=3x^2-4y\)

     --> then f(3,2) is: \(f(3,2) = 3(3^2)-4(2)=3*9-8=27-8=19\)

Hope that helps!

Answer:

3293/72

Step-by-step explanation:

change to improper fraction to times.

Therefore, the length of the sides of the given parallelogram are:

AP = √29 units

PT = √17 units

TR = 2√5 units

RA = 2√5 units

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Additionally, the diagonals of a parallelogram bisect each other, meaning that they intersect at their midpoints. Parallelograms can take on different forms, such as rectangles, squares, and rhombuses, depending on the additional properties they possess.

Here,

To show that a quadrilateral is a parallelogram, we need to prove that both pairs of opposite sides are parallel.

Let's find the slopes of the two pairs of opposite sides:

Slope of AP = (0 - 2)/(-3 - 2) = -2/5

Slope of RT = (-2 - (-4))/(0 - (-4)) = 1/2

Since the slopes are not equal, we can't say that AP and RT are parallel. However, we can check the other pair of opposite sides:

Slope of PT = (-4 - 0)/(-4 - (-3)) = -4

Slope of AR = (-2 - 2)/(0 - 2) = -2/2 = -1

Since the slopes are equal, we can say that PT and AR are parallel. Therefore, quadrilateral APTR is a parallelogram.

To find the length of the sides of the parallelogram with vertices A(2,2), P(-3,0), T(-4,-4), and R(0,-2), we can use the distance formula:

For side AP:

d(AP) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 2)² + (0 - 2)²]

= √[(-5)² + (-2)²]

= √29 units

For side PT:

d(PT) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-4 + 3)² + (-4 - 0)²]

= √[1² + (-4)²]

= √17 units

For side TR:

d(TR) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 + 4)² + (-2 + 4)²]

= √[4² + 2²]

= 2√5 units

For side RA:

d(RA) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 - 2)² + (-2 - 2)²]

= √[(-2)² + (-4)²]

= 2√5 units

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The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return

40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Answer:

x = 92/11

Step-by-step explanation:

10x + 1 + 12x - 5 = 180

*group the like terms*

(10x + 12x) + (1-5) = 180

*simplify*

22x - 4 = 180

*add four on both sides to cancel out -4*

+4. +4

*simplify*

22x = 184

*divide both sides by 22 to cancel out the quantity and solve for x*

÷22 ÷22

*simplify*

x = 92/11

Answer:

x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11

Step-by-step explanation:

Answer:

1215

Step-by-step explanation:

Prime factorize 2025.

         2025 =  5 * 5 * 3 * 3 * 3 * 3

         \(\sf 27 \sqrt{2025}=27* \sqrt{5*5*3*3*3*3}\\\\\)

                       = 27 * 5 * 3 * 3

                        = 1215

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

the answer is g= 1/3x - 2/3

Answer:

Graph B

Step-by-step explanation:

Rearrange in the form y > mx + c :

    2. x + y < 2

Graph which shows this inequality is : Graph B

B. is the correct graph.

The type of sampling that relies upon knowledge of the distribution or proportion of population characteristics in order to choose a sample that assures representativeness of these characteristics is called stratified sampling.

In stratified sampling, the population is divided into different subgroups or strata based on specific characteristics or variables. The proportion of each subgroup in the population is known, and a sample is then selected from each stratum. This ensures that the sample is representative of the population in terms of the specific characteristics being studied.

To perform stratified sampling, follow these steps:
1. Identify the relevant characteristics or variables that you want to study.
2. Divide the population into distinct strata based on these characteristics.
3. Determine the proportion or distribution of each stratum in the population.
4. Select a random sample from each stratum, ensuring that the sample size is proportional to the size of the stratum in the population.
5. Combine the samples from each stratum to create the overall representative sample.

In conclusion, stratified sampling is a type of sampling method that ensures representativeness of population characteristics by dividing the population into subgroups and selecting samples from each stratum based on their proportion in the population.

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Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Answer: Range is y > -1

Explanation:

The lowest point is where the open hole is. This is when y = -1. The open hole means we exclude it from the graph, so we can't reach y = -1

We can have any y value larger than -1 as part of the range. So the range is the set of y values such that y > -1

Side note: the domain is x > 1 for similar reasoning, but we're looking at the possible x values now.

A because 2 is half of 4 and 18 is half of 36.

Step-by-step explanation: because 2 is half of 4 and 18 is half of 36.

Answer:

It would be to ask all the students in the grade.

Step-by-step explanation:

Answer:

it D answer D and it will be correct I just did this test guys well if it isnt D then its all students in each grade I just did this test lol

Step-by-step explanation:

Solve the differential  equations (a) & (b) and plot three solution curves.

let's start by understanding the concepts of slope fields and solution curves. A slope field is a graphical representation of the solutions to a differential equation. It shows a vector field, or a graph of the direction and magnitude of the solutions, at any given point. Solution curves are the individual solutions of the differential equation that can be seen on the slope field.

To find equilibrium solutions and classify them as stable, semistable or unstable for the given differential equations, you need to solve the equations for the given initial conditions and then plot the solutions on the slope field.

For the first equation (a), y' = y(y+1), you need to solve the equation and plot three solution curves on the slope field. Then you should find the equilibrium solutions and classify them as stable, semistable, or unstable.

Similarly, for the second equation (b), y'= 2t + y, you need to solve the equation  and plot three solution curves on the slope field. Then you should find the equilibrium solutions and classify them as stable, semistable, or unstable.

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Answer:

C Neither positive nor negative—the sum is zero.

Step-by-step explanation:

Given the expression

(1/23)+(-1/23)

Required

The sign of the resulting expression

Note that the product of a minus and a plus sign is minus sign i.e (-×- = +)

The equation becomes;

= 1/23 - 1/23

= 0/23

= 0

Hence the resulting value is neither positive nor negative since the sum is zero

Answer:

b- negative

Step-by-step explanation:

did it on khan it gave me the answer of B

=======================================================

Work Shown:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

C = area of the front rectangular face

C = length*width = 10*7 = 70

D = area of the face in back on the left

D = length*width = 6*7 = 42

E = area of the face in back on the right

E = length*width = 8*7 = 56

Total surface area = A+B+C+D+E = 24+24+70+42+56 = 216 square meters

------------------------

Alternative Method:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

LA = lateral area = wall area

LA = (perimeter of the base)*(height)

LA = (6+8+10)*(7)

LA = 24*7

LA = 168

Total surface area = A+B+LA = 24+24+168 = 216 square meters

The given expression 5x+3x²-7x³+2 is a cubic expression.

A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.

In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,

\(5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2\)

Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.

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The mode of this data set is 3 inches.

In the given data set, the values of rainfall in inches for each week are as follows:

Week 1: 2 inches

Week 2: 3 inches

Week 3: 1 inch

Week 4: 3 inches

Week 5: 5 inches

Week 6: 4 inches

The mode is the value that appears most frequently, which in this case is 3 inches. Therefore, the mode of this data set is 3 inches.

Note that a data set can have more than one mode if there are two or more values that appear with the same frequency and are more frequent than any other value in the data set.

However, in this data set, there is only one mode, which is 3 inches.

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