Last week David drove a total of 350 miles. This week he drove a total of 415 miles. What is the percent change in the number of miles driven?

A function assigns the values. The reflected function across the y-axis will be -2x.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the linear function, f(x)=2x is needed to be reflected across the y-axis, therefore, the reflected function can be found by multiplying the function by -1. Therefore, the reflected function will be,

f(x) = 2x

Reflected function, g(x) = -1 × (2x) = -2x

Hence, the reflected function across the y-axis will be -2x.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ1

Answer:

3/5

Step-by-step explanation:

the chance of landing on an even number (2 or 4) is 2/5

the chance of landing on the unshaded section (3) is 1/5

add the 2 together since the problem said "or" to get 3/5

The unknown angles of the right angle triangle is 45 degrees.  

A right angle triangle is a triangle with one angle equals to 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the right triangle has two angle measurements that are equal to each other. The third angle is 90 degrees.

Therefore, let's find the angles measure x, the two other equal angles.

Hence,

x + x + 90 = 180

2x + 90 = 180

subtract 90 from both sides of the equation

2x + 90 = 180

2x + 90 - 90 = 180 - 90

2x = 90

divide both sides by 2

x = 90 / 2

x = 45 degrees

learn more on right triangle here: https://brainly.com/question/6322314

#SPJ1

Answer:

(a) i believe it is $10

(b)I believe it is 98 people

Step-by-step explanation:

(a) we are trying to find "?" for this explanation. I came up with the equation 60=6 x ?. The 60 shows us the total amount of dollars that the 6 shares went down. We need to find the amount. of dollars that went down for 1 stock. So we divide 60 by 6. and get 10.

(b) we are trying to find "?" for this explanation. I came up with the equation

?=7 x 14. All you have to so is multiply 7 by 14 and you get 98.

Hope this helps :)

Answer:

Just answering so that the other person can get brainliest :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 2)(x + 4)

=x(x + 4) -2(x + 4)

=x^2 + 4x - 2x - 8

=x^2 + 2x - 8

(x + 1)(x + 6)

=x(x + 6) +1(x + 6)

=x^2 + 6x + x + 6

=x^2 + 7x + 6

(x - 4)(x + 2)

=x(x + 2) -4(x + 2)

=x^2 + 2x - 4x - 8

=x^2 - 2x - 8

(x + 5)(x - 3)

=x(x - 3) +5(x - 3)

=x^2 - 3x + 5x - 15

=x^2 + 2x - 15

(x - 6)(x - 2)

=x(x - 2) -6(x - 2)

=x^2 - 2x - 6x + 12

=x^2 - 8x + 12

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

The power series representation of f(x) centered at x = 0 is: f(x) = ∑(n=0 to ∞) \([(-1)^n * (5 * x^(n+1))/(n+1)]\). To find the power series representation of the function f(x) = 5ln(1+x), we can use the Taylor series expansion of ln(1+x).

The Taylor series expansion of ln(1+x) is given by:

ln(1+x) = x - \((x^2)/2 + (x^3)/3 - (x^4)/4\)+ ...

Substituting this into the function f(x), we have:

f(x) = 5(x -\((x^2)/2 + (x^3)/3 - (x^4)/4\) + ...)

Expanding this further, we have:

f(x) = 5x - \((5x^2)/2 + (5x^3)/3 - (5x^4)/4\)+ ...

The power series representation of f(x) centered at x = 0 is:

f(x) = ∑(n=0 to ∞) [\((-1)^n * (5 * x^(n+1))/(n+1)\)] where ∑ represents the summation notation.

To know more about Power series representation visit-

brainly.com/question/32614100

#SPJ11

S is not a solution for the Black-Scholes PDE because it does not satisfy the boundary conditions required for the option pricing problem.

The Black-Scholes partial differential equation (PDE) is used to model the behavior of stock prices and is a key tool in options pricing. It is given by:

where C is the price of a European call option, S is the underlying asset price, σ is the volatility, r is the risk-free interest rate, and t is time.

In order to solve for the price of the option, we need to impose boundary conditions. Specifically, the value of the option at expiry should be equal to the payoff of the option. For a European call option, the payoff is max(S-K,0), where K is the strike price. Therefore, we need to impose the boundary condition C(S,t) = max(S-K,0) as S approaches infinity.

However, if we substitute S into the Black-Scholes PDE, we find that it does not satisfy this boundary condition. For example, if we set C(S,t) = S, then the PDE reduces to:

Which is clearly not true. Therefore, S is not a solution for the Black-Scholes PDE.

Learn more about Black-Scholes https://brainly.com/question/30976916

#SPJ11

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

\(0 \leqslant x \leqslant 3\)

20x,

\(3 < x \leqslant 6\)

10x,

\(x > 6\)

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

Answer:

The mass of raisins to the mass of butter can be expressed in simplified ratio form as X:Y, where X represents the mass of raisins and Y represents the mass of butter.

To answer the questions using R, you can follow these steps: (a) Estimate a simple regression model where one-point increase in IQ changes wage by a constant dollar amount:

```R

# Load the wage2 dataset if it's not already loaded

data(wage2)

# Fit a simple regression model

model <- lm(wage ~ IQ, data = wage2)

# Print the model summary

summary(model)

```

The output will provide you with the estimated regression coefficients, including the constant dollar amount for each one-point increase in IQ.

(b) Use this model to find the predicted wage when IQ is 101 points. If IQ increases by 15 points, what is the predicted increase in wage:

```R

# Predict the wage when IQ is 101

Learn more about regression here: brainly.com/question/29753986

#SPJ11

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

Learn more on trigonometry identity here: https://brainly.com/question/24496175

#SPJ1

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.

Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:

Attitude:

Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.

Beliefs:

A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.

Knowledge:

A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.

Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.

for such more question on learning facilitation.

https://brainly.com/question/23008798

#SPJ8

Total possible arrangements are 55,450

Multiply the number of opportunities for each event by its own X times, where X equals the number of occurrences in the sequence.

A child possesses 12 blocks, six of that are black, three of which are red, two of which are white, and one of which is blue. If the child arranges the blocks in a line, we must determine the best possible arrangement.

If the child arranges the blocks in a line, the following arrangements are possible:

As a result, the arrangements could be as follows:

\(= > \frac{12!}{6!3!2!1!}\)

=> (12 × 11 × 10 × 9 × 8 × 7 × 6! )/ 3 × 2 × 1 ×2 × 6!

=> 55,440

Learn more about Arrangements at:

https://brainly.com/question/28406752

#SPJ4

a. If a passenger arrives at the station between 7 and 8 a.m., then the probability of them taking the train heading for destination A is 50%. This is because, during that hour, two trains heading for destination A will arrive, whereas only one train will head for destination B.

b. If a passenger arrives at the station between 7:15 and 8:15 a.m., then the probability of them taking the train heading for destination A is 66.7%. This is because, during that hour and a half, three trains heading for destination A will arrive, whereas only one train will head for destination B.

To know more about probability refer here:

https://brainly.com/question/30034780

#SPJ11

Answer:

The Associative Property

The Associative Property is where you group different numbers together without changing their value or physical placement.

Hope it helps

Step-by-step explanation:

Answer:

patrick the creator <3

Step-by-step explanation:

The graph of g(x) is the graph of f(x) shifted 10 units to the left and 11 units downward. It retains the same shape as the graph of f(x), but its position is shifted in the horizontal and vertical directions.

To obtain the graph of g(x) = (x+10)^2 - 11 from the graph of f(x) = x^2, we can use a combination of shifts and vertical transformations.

Now, let's break down the process into steps:

Step 1: Shifting the graph horizontally

The expression (x+10) inside g(x) indicates a horizontal shift of the graph of f(x) by 10 units to the left. This means that every point on the graph of g(x) will be 10 units to the left of the corresponding point on the graph of f(x).

Step 2: Shifting the graph vertically

The constant term -11 in g(x) indicates a vertical shift downward of the graph of f(x) by 11 units. This means that every point on the graph of g(x) will be 11 units below the corresponding point on the graph of f(x).

Step 3: Combining the shifts

By combining the horizontal shift and vertical shift, we obtain the graph of g(x) as a shifted version of the graph of f(x).

Therefore, the graph of g(x) is the graph of f(x) shifted 10 units to the left and 11 units downward. It retains the same shape as the graph of f(x), but its position is shifted in the horizontal and vertical directions.

To learn more about horizontal shift click here:

brainly.com/question/33499854

#SPJ11

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

Two know more about distance visit:

https://brainly.com/question/15172156

#SPJ11

Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

Learn more about least common multiple

https://brainly.com/question/30060162

#SPJ11

Answer:

Step-by-step explanation:

length. To find the missing horizontal length, we will look at the values of the other horizontal lengths. Looking at the composite shape, the side that is 12 cm long is the same as both the missing side plus the side that is 4 cm long. We can therefore find the missing length by subtracting 6 cm from 9 cm.

Answer:

To find the missing horizontal length, we will look at the values of the other horizontal lengths. Looking at the composite shape, the side that is 12 cm long is the same as both the missing side plus the side that is 4 cm long. We can therefore find the missing length by subtracting 6 cm from 9 cm

Step-by-step explanation:

Answer:

Width = 5

Length = 10

Step-by-step explanation:

Let x be the width of the rectangle

2x + 2(2x) = 30

x = 5

Width = 5

Length = 10

Answer: d bc I can't tell what  is supposed to say.

Answer:

its 3.4 m

Step-by-step explanation:

i had the same test

Answer:

2.8

Step-by-step explanation:

r=(3V4π)⅓=

(3·91.94·π)⅓≈2.79947

I tried other answer, got it wrong, this one is right.

Answer:

c

Step-by-step explanation:

\(\huge\boxed{\boxed{\boxed{\bf{Hi\:there!}}}}\)

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and flop it over.

Here, we have 1/4.

First, we change its sign:

-1/4

Now, we flop it over:

-4

So the slope of the line perpendicular to the given line is -4.

Now, we are given the slope of the line and a point that the line passes through.

We can use the Point-Slope formula:

\(\huge\sf{y-y1=m(x-x1)\)

\(\huge\sf{y-9=1/4(x-6)\)

\(\huge\sf{y-9=1/4x-1.5\)

\(\sf{y=1/4x-1.5+9\\\)

\(\sf{y=1/4x+10.5\)

\(\huge\boxed{Hope\:it\:helps!}\)

\(\huge\bold{\underline{Good\:luck!}}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

Answer:

sum of digit:2+1+4+4+6+7+6+5+4=39 . Which is not divisible by 9

Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]