PLEASE HELP! given to the picture above what is the width of the river ?

The resulting graph of g(x)=|x|+5 is a V-shaped curve that is shifted upwards by 5 units.

What is function ?

Function can be defined in which it relates an input to output.

To graph the function g(x)=|x|+5, we start with the parent function f(x)=|x|.

First, we shift the entire graph of f(x) upwards by 5 units to get g(x). This means that the new function will take the absolute value of x and then add 5 to it.

To graph g(x), we can choose two points on either side of the y-axis and then plot the corresponding points. We can use the ray tool to draw the rays passing through these points.

Here are the steps to graph g(x)=|x|+5:

Choose a value of x on the left side of the y-axis, such as x=-3.

Substitute this value into the equation g(x)=|x|+5 to get g(-3)=|-3|+5=8. This gives us the point (-3,8).

Choose another value of x on the left side of the y-axis, such as x=-2.

Substitute this value into the equation g(x)=|x|+5 to get g(-2)=|-2|+5=7. This gives us the point (-2,7).

Draw a ray passing through the points (-3,8) and (-2,7) to represent the left side of the graph.

Choose a value of x on the right side of the y-axis, such as x=2.

Substitute this value into the equation g(x)=|x|+5 to get g(2)=|2|+5=7. This gives us the point (2,7).

Choose another value of x on the right side of the y-axis, such as x=3.

Substitute this value into the equation g(x)=|x|+5 to get g(3)=|3|+5=8. This gives us the point (3,8).

Draw a ray passing through the points (2,7) and (3,8) to represent the right side of the graph.

Therefore, The resulting graph of g(x)=|x|+5 is a V-shaped curve that is shifted upwards by 5 units.

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Answer:

Roderick worked a total of 11 hours on his first 2 days at work.

Step-by-step explanation:

If he earns 8.25$ per hour, divide the total money for each day by 8.25.

$49.50

Total hours:

?

Solve :

Step 1: Divide the day total by the hourly pay) 49.50/ 8.25

Step 2: Get the total) 49.50/ 8.25 = 6

Step 3: The total is equal to the hours worked that day.  

Total hours of day 1:

6

$41.25

Total hours:

?

Solve :

Step 1: Divide the day total by the hourly pay) 41.25/ 8.25

Step 2: Get the total) 41.25/ 8.25 = 5

Step 3: The total is equal to the hours worked that day.

Total hours of day 2:

5

The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.

Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).

First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).

Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).

Now, we substitute these derivatives back into the product rule formula:

g'(x) = f'(x) * h(x) + f(x) * h'(x)

       = 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).

In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹  * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).

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Answer:

50 percent gain

Answer:

4/15 cups

Step-by-step explanation:

If a cups scientist needs 12 cup baking soda for 45 liter of water, this can be expressed as;

12 cup of soda = 45 litres of water

To get the amount of soda needed for one litre, we will say;

x soda = 1 litre

Divide both equations;

12/x = 45/1

Cross multiply'45x = 12

x = 12/45

x = 4/15

Hence the required answer us 4/15 cups

The program generated a prime number 14 times.

Relative frequency is a statistical measure that expresses the number of times an event occurs during a given period as a fraction of the total number of observations during that same period.

If the relative frequency of the program showing a prime number was 7/10, this means that out of the 20 times, Nathan generated a number randomly, the program showed a prime number 7/10 times.

So, the number of times the program generated a prime number can be found by multiplying 20 by 7/10:

20 x 7/10 = 14

Therefore, the program generated a prime number 14 times.

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Answer: 41 minutes and 40 seconds

Step-by-step explanation:

1000 meters=1 km

10 km * 1000 meters/1 km=

10 * 1000/1=

10*1000=10000 meters

10000 meters * 1 second/4 meters=

10000 * 1/4=

10000/4=2500 seconds

60 seconds=1 minute

2500 seconds * 1 minute/60 seconds=

2500/60=

(2460+40)/60=

2460/60 + 40/60= 41 minutes and 40 seconds

The value of x at which f(x) is a minimum is 3/2.

To find the minimum value of f(x), we need to calculate its derivative and set it equal to zero.

So,

\(f(x) = ∫(x^2 - 3x - 2) e^(t^2) dt\)

Taking the derivative of f(x) with respect to x, we get:

\(f'(x) = 2x e^(x^2 - 3x - 2) - 3 e^(x^2 - 3x - 2)\)

Setting f'(x) equal to zero:

\(2x e^(x^2 - 3x - 2) - 3 e^(x^2 - 3x - 2) = 0\)

Factorizing, we get:

\(e^(x^2 - 3x - 2) (2x - 3) = 0\)

So, either e\(^(x^2 - 3x - 2)\)= 0 (which is not possible), or

2x - 3 = 0

Solving for x, we get:

x = 3/2

Therefore, the value of x at which f(x) is a minimum is 3/2.

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f'(x) changes from negative to positive at x = 2.105, we know that f(x) has a local minimum at x = 2.105.
Therefore, the answer is c. 2.

To find the value of x at which f(x) is a minimum, we need to find the critical points of f(x) and then determine whether each critical point is a minimum or maximum using the first derivative test.

To find the critical points of f(x), we need to find where f'(x) = 0. Using the Fundamental Theorem of Calculus and the Chain Rule, we can find that:

\(f'(x) = 2x - 3 - 2xe^{(x^2-3x-2t^2)}\)

To find where f'(x) = 0, we need to solve the equation\(2x - 3 - 2xe^{x^2-3x-2t^2} = 0\) for x. Unfortunately, this equation cannot be solved algebraically, so we need to use numerical methods. One way to do this is to use a graphing calculator or computer program to graph y = 2x - 3 and\(y = 2xe^{x^2-3x-2t^2)\)and find their intersection(s).

Using this method, we can find that there is only one critical point, which is approximately x = 2.105. To determine whether this critical point is a minimum or maximum, we need to use the first derivative test. Since f'(x) changes from negative to positive at x = 2.105, we know that f(x) has a local minimum at x = 2.105.

Therefore, the answer is c. 2.

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the answer is 22 degrees

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

We have,

The area of a sector can be calculated using the formula:

Area = (θ/360) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.

The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.

Substituting the values into the formula:

Area = (122/360) * π * (18²)

Area = (0.3389) * 3.14159 * 324

Area ≈ 344.77 square inches

Area = 345 square inches

Therefore,

The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.

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Answer:

\( \frac{1 }{8} \)

Answer: .125

Step-by-step explanation:

Volume=a^3

.5^3=.125

Answer:

A reflection over the line x=3

Step-by-step explanation:

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The price charge is $235 and the maximum revenue is $165675.

It is a plane curve that is mirror-symmetrical. It is approximately U-shaped. It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed-line. It is the locus of a fixed point that moves on a plane. It has many important applications. In Mathematics, the parabola plays a crucial role.

Number of members in club = 360

Monthly membership is of $350

For $ 1 price decrease and 3 people joinining

Membership charge will be = 350-x

Members will be 360+3x

Revenue equation will be

R (x) (350-1x)(360+3x)=0

126,000-360x+1050x-3x² =0

126,000+690x- 3x²-=0

This is a parabolic equation. Maximize the function to get

Differentiate to get the parabola vertex

R'(x) = 690-6x

So, 690-6x =0

x =115

Therefore, the price charge is

350-115 = $235

The number of members is

3360+115 = 705

The maximum revenue is given as

$235 × 705=$165675

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Answer: d=50+20w

D(deposit) = 50(starting amount)+20(added amount)w(multiply 20 by the amount of weeks, 12, and this is your equation.)

Point G is two, which divides the directed line segment from D to F into a 5:4 ratio at that place.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

According to our question-

From negative five to positive ten is a number line.

Points D and F are at -2 and +7, respectively.

The distance between point D and F is,

=9

If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,

=2

Hence, The directed line segment from D to F is divided into a 5:4 ratio at point G by the number 2.

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So, the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.

To find the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13, we can use one of the methods for solving systems of equations, such as substitution, elimination, or graphing. In this case, we will use elimination method.

The first step of elimination method is to eliminate one of the variables by adding or subtracting the equations. In this case, we will multiply the first equation by 4 and the second equation by -3 and add them:

4(3x + 5y) = 4(17)

12x + 20y = 68

-3(4x + 4y) = -3(-13)

-12x - 12y = 39

then we can add these two equations:

12x + 20y = 68

-12x - 12y = 39

0 = 29

This is an impossible equation, which means that the system has no solution.

Therefore, the y value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.

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The equation formed is 162x = 324

Remember that a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio

In every GP, The product of first term and third term is equal to the square of the second term

From the table, this implies that 54x = 18²

⇒54x = 324

Making x the subject, 324/54 = 6

space,

Also, for the last, let it be y

This means that 54y = 162²

54y =26244

y = 26244/54

y = 486

2) The parameters for this question are

principal  = $2000

rate = 9%

Number of years are 1,2,3

Amount = P(1 + R)ⁿ

i.  Amount = 2000(1+0.09)¹

Amount = 2000 * 1.09 = $2180

ii   Amount for second year = 2000(1+0.09)²

Amount = 2000(1.09)²

Amount = $2376.20

iii   amount for the third year = 2000(1 + 0.09)³

Amount = 2000(1.09)³

Amount = $25900.58

c.  the exponential equation that represents the savings account is Amount = P(1 + R)ⁿ

d If the interest rate stays steady for 30 years, the amount in the savings account would be

Amount = P(1 + R)ⁿ

Amount = 2000(1+0.09)³⁰

Amount = 2000(1.09)³⁰

A= $26535.35694

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Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

Answer: If 50% of the 8 espressos sold were single-shot, that means the other 50% must have been double-shot.

To find out how many single-shot espressos were sold, we can calculate 50% of 8, which is:

0.5 x 8 = 4

So the cafe sold 4 single-shot espressos.

To find out how many double-shot espressos were sold, we can calculate the other 50% of 8, which is also 4.

Therefore, the cafe sold 4 single-shot espressos and 4 double-shot espressos in total.

Step-by-step explanation:

1. There are 4194304 ways to choose the two pizzas

2. Ways to make one pizza with up to five topping is 1023

3. There is only one way to build the two pizzas.

4. Combinations = 523,503

5. The total number of ways to make two pizzas are 523,504

6. The same value that the boy claims in the advertisement.

A subfield of statistics known as probability studies random events and their likelihood of happening.

1. There are 11 toppings and each topping can be either included or excluded from a pizza, there are 2 choices for each topping. Therefore, there are 2^11 = 2048 ways to make one pizza. For two pizzas, there are 2048*2048 = 4194304 ways to choose the two pizzas.

2. For one pizza with up to five toppings, we can use combinations to determine the number of ways to choose toppings. Since we have 11 toppings to choose from and can choose up to 5, the number of ways to choose is:

C(11, 1) + C(11, 2) + C(11, 3) + C(11, 4) + C(11, 5) = 11 + 55 + 165 + 330 + 462 = 1023

3. If the two pizzas are identical, there is only one way to build the two pizzas.

4. If the two pizzas are different, we need to choose 2 of the 1023 possibilities from problem 2. Since order doesn't matter, we use combinations, and the number of ways to choose is:

C(1023, 2) = 523,503

5. The total number of ways to make two pizzas with up to five toppings each is the sum of the answers from problems 3 and 4:

1 + 523,503 = 523,504

6. The number 10242 is equal to 1,048,576. This is the same value that the boy claims in the advertisement. Therefore, the boy's claim is valid only if the pizzas can have up to 11 toppings each, not up to 5 as advertised.

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We will have the following:

We will determine the decrease after 9 minutes as follows:

Here each unit in the exponent represent each half life period.

So, after 9 minutes (3 sets of the half life) there wil be 12 grams of it.

Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is \(x=\frac{9}{2}\)

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.​

The function is not one to one function.

What is one to one function?

A function f(x) is sait to be one to one function if it satisfies the following two conditions:

(1) \(f(x_1)=f(x_2)\) implies \(x_1=x_2\).

(2) ∀\(x_1\), ∀\(x_2\), \(x_1\ne x_2\) implies that \(f(x_1) \ne f(x_2)\).

It means that there is only one value for each value of the variable x.

Now, consider the given function.

\(2(x-1)^2+3=f(x)\)

If it is one to one function then it must satisfy the above two conditions.

Lets check the first condition. Substitute 3 for x.

\(2(3-1)^2+3=f(3)\\11=f(3)\)

Again, substitute -1 for x.

\(2(-1-1)^2+3=f(-1)\\11=f(-1)\)

Hence at two different values of x the function have the same value.

In this case, f(-1)=f(3) but \(-1 \ne 3\). Hence, it do not satisfy the first condition.

Hence, the given function is not one to one function.

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Answer:

15/28

Step-by-step explanation:

Answer:

When two straight lines or rays intersect at a single endpoint, an angle is created.

Step-by-step explanation:

Answer:

4 option

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

ghjthergsfadfghjyujt

Answer:

m = 5, n = - 1

Step-by-step explanation:

Given

x² + 4x - 5

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)

The factors are + 5 and - 1 , since

5 × - 1 = - 5 and 5 - 1 = + 4 , then

x² + 4x - 5 = (x + 5)(x - 1)

with m = 5 and n = - 1