Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

0.4 ; 0.8

Step-by-step explanation:

Given that :

y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1/w^2

y = kxz/w^2 - - - - (1)

Given that y =3 when x=3, z=10, w=2

Inputting the values into (1)

3 = (k*3*10) / 2^2

3 = 30 × k / 4

k × 30 = 3 × 4

k × 30 = 12

k = 12/30

k = 0.4

B.) Given that ;

y=4 when x=4 z=20 w=4

Input values into (1)

y = kxz/w^2

4 = ( k * 4 * 20) / 4^2

4 = (k * 80) / 16

k * 80 = 16 * 4

k * 80 = 64

k = 64 / 80

k = 0.8

Answer:

False

Step-by-step explanation:

Took the test and got it wrong

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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The original price of the racket is $30

Let the original price be x

If there is 30% off the original price, then the new price will  be 0.7x

If the price of tennis racquet is now $21, hence;

0.7x = 21

Divide both sides by 0.7

0.7x/0.7 = 21/0.7

x = 21/0.7

x = $30

Hence the original price of the racket is $30

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Answer:

x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t

Step-by-step explanation:

Step-by-step explanation:

\(

\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312

\)

Hope it will help :)❤

Answer:

√{312×312}=√312²=±312 is your answer

Answer:

1 x 5 = 5

  and

200 + 200 = 400

(Hope this helps! Btw, I answered first. Brainliest please! :D)

The asymptotes for the given functions can be identified by using limits and analyzing the graphs.

Function Analyzing the graph Graph (identify the asymptotes) lim f(x) = 3 Asymptote y=3 lim g(x) = 2 x-00 Asymptote y=2 lim g(x) = 0 X-3- Asymptote x=-3 lim f(x) = 0The given table below shows the different functions and their asymptotes. FunctionAsymptoteLim f(x) = 3y = 3Lim g(x) = 2x → ∞y = 2Lim g(x) = 0x → -3x = -3Lim f(x) = 0No asymptote exists for the limit of f(x) as it approaches zero (0).Analyzing the graph:An asymptote is a line that a curve approaches but never touches. We can use limits to determine where vertical or horizontal asymptotes exist by looking at the limits of a function as it approaches a certain value or infinity. The asymptotes can also be identified by observing the graph. When we approach an asymptote, the function approaches a specific value, which is the equation of the asymptote.

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Answer:

y-intercept

zero

Step-by-step explanation:

We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.

Since both angles are the same, x has a value of 11

Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines

The given parameters are

m∠PQS=(3x−3)° and m∠RQS=(x+19)°.

From the question, the measures of both angles are the same

This means that

m∠PQS=(3x−3)° = m∠RQS=(x+19)°.

So, we have the following equation

3x − 3 = x + 19

Collect the like terms in the equation

So, we have the following equation

3x - x = 3 + 19

Evaluate the like terms in the equation

So, we have the following equation

2x = 22

Divide both sides by 2

So, we have the following equation

x = 11

Hence, the value of x in the angles is 11

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Possible question

m∠PQS and m∠RQS are congruent angles

m∠PQS=(3x−3)° and m∠RQS=(x+19)°. Find the value of x.

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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The table has a constant of proportionality of 25

The table represents the given parameter

On the table, we have the following points

(x, y) = (1, 25)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have

k = 25/1

Evaluate the quotient

So, we have

k = 25

Hence, the constant of proportionality of the table is 25

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Answer:  The characteristics of an annual percentage rate are that it can change over time for certain kinds of loans; it is the interest charged each year for a loan; and it can be reduced to reflect the borrower’s credit history.

Step-by-step explanation:

The angles of the triangles that measure 90° will be ABC and DEF.

The pairs of line segments that are formed by the triangle sides are line ED and AB.

It should be noted that parallel lines are the lines that maintains the same distance between them and never meet.

Also, the angle that has the same measurement as angle DEA will be BAC. This is based on alternate exterior angles.

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Answer:

1.34 times the length of Noah's bike ride

Step-by-step explanation:

634/472

1.34322033898

1.34

1.34 times the length of Noah's bike ride

The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.

As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.

The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.

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Step-by-step explanation:

-2>x+3

-2-3>x

-5>x

For the first one, draw an open circle above -5 and draw an arrow from it to the right

x-3<-3

x< -3+3

x<0

For the second one, draw an open circle above 0 and draw an arrow from it to the left

For the last one, divide both sides by 8... so x would be greater than or equal to -3. Draw a closed/shaded circle above -3 and draw an arrow to the right

Hope this helps:)

Answer:

Step-by-step explanation:

Triangle angles must add up to 180º then, The value of x=20

In a Kite triangle, there are three angles. These angles are created by the triangle's two sides coming together at the triangle's vertex. Three inner angles added together equal 180 degrees.  Both internal and external angles are present in a triangle.

In a triangle, there are three interior angles. When the sides of a triangle are stretched to infinity, exterior angles are created. As a result, between one side of a triangle and the extended side, external angles are created outside of a triangle.

Here triangle angles must add up to 180º:

2x+10+2x+90=180

4x+100=180

4x=80

x=20

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Correct Question:

Figure ABCD is a kite. Find the value of x.

Answer:

the answer to that is sometimes

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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Answer:

16 times and brainliest please!!!

Step-by-step explanation:

Let x represent the number of times Lorena chose a golf ball from the bucket. Since she chose a blue golf ball 9 times, the ratio of blue golf balls to total golf balls chosen is 9:x. Lorena predicts that if she chooses a golf ball from the bucket 160 times, 90 will be blue. So the ratio of blue golf balls to total golf balls chosen in this case is 90:160.

Since the ratios must be equal, we can write the equation 9/x = 90/160 and solve for x. Solving this equation, we find that x = 16.

So Lorena chose a golf ball from the bucket 16 times.

Answer:

120 km

distance = speed * time

90 minutes can be converted to 1.5 hours

speed given 80 km/h and time given 1.5 hours

so distance =  80 * 1.5 = 120 km

Answer:

The panther will run 120 km in 90 mins

Step-by-step explanation:

An hour is 60 mins and you know in 1 hour the panther can run 80km

all you need to do is figure out how many miles an xtra 30 mins will be

60 minutes divided by 2 = 30 minutes and 80 km divided by 2 = 40km

Therefore 30 minutes = 40km

just add this to the original statement and you're good

60 mins + 30 mins = 90 mins

80km + 40km = 120km

The panther will run 120km in 90 mins

Answer:

1.75 inches deep into the post

Step-by-step explanation:

First, you do 2.5 - 0.75 which is 1.75 in

The answer is 1.75 in

Hope this helps!

Answer:

8.0 * 10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.0 x 10 4

Step-by-step explanation:

This is right