Define the function formula for each of the following given the function definitions for f,g, and h. Simplify your answer as much as possible. If you do not simplify your answer, it will be marked wrong. f(x)=(x+2)^2 g(x)=2x−4 h(x)=6/x−1

Take into account that based on the similar sides of both triangles, you can notice that side RQ is similar to side VU (it is becasue the angles of he vertices of these sides are equal).

Then, you can conclude that the length of RQ is equal to the length of VU.

Hence, RQ = VU = 50 ml

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

For how to graph this, best to look at the guidelines for graphing a break-even formula.

What we do want to know is where these two values equal each other.

So, set:  400 + 0.20X = 800 + 0.10X

Subtract 400 from both sides; also subtract 0.10X from both sides, to get:

0.10X = 400

To solve for "X", divide out both sides by:  0.10, to get:

X = 4,000

What can can glean from this, is that:

(1)  The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;

(2)  The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.

Answer:

I am 100% sure its 4.03 x 10^7

Step-by-step explanation:

To determine the speed of the car at the bottom of the hill, we can use the principle of conservation of energy. As the car rolls down the hill, it will convert its potential energy at the top into kinetic energy at the bottom, neglecting any energy losses due to friction or air resistance.

The potential energy of the car at the top of the hill is given by the formula:

Potential Energy = mass × gravity × height

Since the mass of the car is not provided, we can assume it to be a constant value for the purpose of this calculation. Gravity is approximately 9.8 m/s².

The kinetic energy of the car at the bottom of the hill is given by the formula:

Kinetic Energy = (1/2) × mass × velocity²

Since the potential energy at the top is equal to the kinetic energy at the bottom, we can equate the two equations and solve for velocity.

mass × gravity × height = (1/2) × mass × velocity²

Simplifying the equation, we find:

velocity² = 2 × gravity × height

Taking the square root of both sides, we get:

velocity = √(2 × gravity × height)

Substituting the given values, with gravity as 9.8 m/s² and height as 50 m, we can calculate the velocity. Plugging the values into the equation, we find: velocity = √(2 × 9.8 m/s² × 50 m) ≈ 31.3 m/s

Therefore, the car will be going at approximately 31.3 meters per second (m/s) at the bottom of the hill.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The measure used by the charity is: The IQR of 13 is the most accurate to use, since the data is skewed.

In a graphic representation of data called a histogram, a set of continuous numerical data is distributed in a given way. Each rectangle's area is related to the frequency of data values occurring within a given interval or bin. It consists of a sequence of rectangles or bars. The y-axis displays the frequency or count of values that fall inside each interval, while the x-axis displays the range of values that are divided up into intervals or bins. Large data sets can be visually summarised using histograms, which can also be used to spot patterns and trends as well as outliers or unexpected numbers.

A measure of variability that is less susceptible to outliers than the range is the IQR (interquartile range). The data in this instance is skewed to the right, which means that a few large donations are pushing the range upward.

From the given data we see that the values are skewed. Thus, for the values IQR will be an appropriate way to represent the data and understand about the range in the upper and the lower bound.

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To express the given first-order linear ordinary differential equation in standard form, we rearrange it as follows. Therefore, the general solution to the differential equation is: y = ± e^((1/3) arctan(x/3) + C)

(x^2 + 9) dy/dx = -xy

Dividing both sides by (x^2 + 9), we have:

dy/dx = -xy / (x^2 + 9)

B) To solve the differential equation, we can use separation of variables. We separate the variables and integrate both sides:

dy / (-xy) = dx / (x^2 + 9)

Integrating both sides, we get:

∫ (1/y) dy = ∫ (1 / (x^2 + 9)) dx

ln|y| = (1/3) arctan(x/3) + C

Taking the exponential of both sides, we have:

|y| = e^((1/3) arctan(x/3) + C)

Since y can be positive or negative, we remove the absolute value by introducing a constant of integration ±C:

y = ± e^((1/3) arctan(x/3) + C)

Therefore, the general solution to the differential equation is:

y = ± e^((1/3) arctan(x/3) + C)

where C is an arbitrary constant.

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Answer: \(\dfrac{127}{990}\).

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

\(990x=127\\x=\dfrac{127}{990}\)

Hence, the required \(\dfrac{p}{q}\) form: \(\dfrac{127}{990}\).

Answer:

a=3.63

Step-by-step explanation:

Isolate the variable by dividing each side by factors that contain the variable.

Answer:

  y ≈ 60.6 units

Step-by-step explanation:

Given a triangle with angles 18° and 117°, and sides 21 opposite 18° and y opposite 117°, you want to know the value of y.

The law of sines tells you the ratios of side length to the sine of the opposite angle are the same for all side/angle pairs in the triangle.

  y/sin(117°) = 21/sin(18°)

  y = 21·sin(117°)/sin(18°) ≈ 60.55

The value of y is about 60.6 units.

Answer:

a) 15.52mm

b) 25.8275mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.

A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?

This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 20}{3.5}\)

\(X - 20 = -1.28*3.5\)

\(X = 15.52\)

This wing-span is 15.52mm.

B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?

This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.665 = \frac{X - 20}{3.5}\)

\(X - 20 = 1.665*3.5\)

\(X = 25.8275\)

This wing-span is 25.8275mm.

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

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Answer:

2/3

Step-by-step explanation:

In the problem the question is How much longer so that means subtract.

10/12 - 1/6 =2/3

Answer:

maybe 2/3 inches

let me know if its wrong..

Step-by-step explanation:

3a−2b=8

Add 2b to both sides.

3a=8+2b

The equation is in standard form.

3a=2b+8

Divide both sides by 3.

3

3a

=

3

2b+8

Dividing by 3 undoes the multiplication by 3.

a=

3

2b+8

3a−2b=8

Subtract 3a from both sides.

−2b=8−3a

Divide both sides by −2.

−2

−2b

=

−2

8−3a

Dividing by −2 undoes the multiplication by −2.

b=

−2

8−3a

Divide 8−3a by −2.

b=

2

3a

−4

Answer:

0.6063

Step-by-step explanation:

Just substitute in the binomial probability formula from 4 successes until 6 successes.

Answer:

what you seem to be talking about is a rhombus or diamond they are parallelograms that fir the description you mentioned

Step-by-step explanation:

yaaa

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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The maximum number of square feet Ron can paint if he stays within budget when he buys the paint and supplies is 22.7.

Since the remaining would be

= $1,500 - $200

= $1,300

Now per unit cost should be like

= \(1,300 \div 29.98\)

= 533

Now then the maximum no of squares should be

\(= 533 \div 49\)

= 22.7

Hence, The maximum number of square feet Ron can paint if he stays within budget when he buys the paint and supplies is 22.7.

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To solve the system of equations using elimination, we'll eliminate one variable by manipulating the equations.

Let's follow the steps: Given equations: 3x + 2y = -3. 9x + 4y = 3. To eliminate the y variable, we can multiply equation (1) by 2 and equation (2) by -1, which will allow us to add the two equations together: 2(3x + 2y) = 2(-3). -1(9x + 4y) = -1(3). Simplifying the equations: 6x + 4y = -6. -9x - 4y = -3. Now, let's add the two equations together: (6x + 4y) + (-9x - 4y) = -6 + (-3). Simplifying the equation: -3x = -9. Dividing both sides by -3: x = 3. Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1): 3(3) + 2y = -3. 9 + 2y = -3. Subtracting 9 from both sides: 2y = -12.  Dividing both sides by 2: y = -6. Therefore, the solution to the system of equations is x = 3 and y = -6.

The solutions of system of equations can be represented as the ordered pair (x, y) = (3, -6).

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The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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Answer:

(0,-3)

Step-by-step explanation:

2x-y = 3

x+2y = -6

Multiply the first equation by 2 so we can eliminate y

2(2x-y =3)

4x -2y = 6

Add this to the second equation

4x -2y = 6

x+2y = -6

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

5x +0y = 0

x = 0

Now find t

x+2y = -6

0+2y = -6

2y =-6

Divide by 2

y = -3

Answer:

Step-by-step explanation:

Let's try to eliminate y.

First we multiply the first equation by 2,

4x - 2y = 6

x + 2y = -6

Then we add them together

5x = 0

x = 0

Now we plug x into the first equation,

4(0) - 2y = 6

-2y = 6

y= -3

Now we plug x into the second equation,

0 + 2y = -6

2y = -6

y = -3

So our answer is,

(0,-3)

Told to walk in first week = 5km

Told to walk in second week = 8km

Told to walk in third week = 11km

It is forming a pattern,

5km      8km      11km       ..........

     +3       +3        +3

5km      8km     11km     14km     17km     20km    23km     26km   29km     32km

    +3       +3        +3       +3        +3        +3        +3         +3      +3  

The patient has to walk 32km in the 10th week.

MARK ME AS BRAINLEST

The researcher will Eliminate the nonsignificant independence variable and rerun the regression.  

Meaning of multiple regression analysis: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables. The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

When modeling the relationship between a single response variable and multiple regressor variables, multiple regression analysis is used.

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Based on mathematical operations, the total package of figs to purchase is 10.

The number of packets of fig that the recipe will require is determined through unit conversions, using the mathematical operations of multiplication and division.

After converting 2 pounds to grams by multiplication, the total grams are divided by 100 to determine the number, approximated to the nearest whole.

The quantity of figs for the recipe = 2 pounds

1 packet of figs = 100 grams

1 pound = 16 oz

1 oz = 28.4 grams

1 pound = 454.4 grams (16 x 28.4)

2 pounds = 908.8 grams (454.4 x 2)

The number of packets of figs to buy = 10 (908.8/100)

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The mass of 7m chain = 7 x 2.16 kg = 15.12 kg

It says that 7m of grade 70 tow chain which has a diameter of 3/8'' is required to tow a car.

So length of the chain = 7m

Now given that the weight of the chain = 2.16kg/m

That is weight of 1m of chain = 2.16 kg = mass of 1m of chain

Here, weight corresponds to the mass itself, since both has the same unit 'kilograms(kg)'.

So to find the mass of 7m chain, we need to multiply mass of 1m chain to the length of the chain.

Thus, the mass of 7m chain = 7 x 2.16 kg = 15.12 kg

The question is incomplete. Find the complete question here:

Suppose you need 7m of grade 70 tow chain, which has a diameter of 3/8'' and weighs 2.16kg/m, to tow a car. How would you calculate the mass of this much chain? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.

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Answer

P(B|A) = P(B)

Step-by-step explanation

If A and B are independent events, then the probability of B given A is equal to the probability of B, that is,