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Parking charges for first 2hours =$5 per hour after 2 hours parking charges = $2.50per hour

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

Step-by-step explanation:

2x - 5y = -11

ordered pair:  (-5, -1)

x = -5 y = -1

plug into the equation.

2(-5) - 5(-1) = -11

a negative x a positive = a negative

2 x -5 = -10

a negative x a negative = a positive

-5 x -1 = 5

-10 + 5 = -11

5 ≠ 11

therefore its NOT solution.

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer:

1. 91 = 70*1.30

2a. 195= 150*1.30

2b. 210 = 150*1.40

3a.  56.70 = 156* .30

3b.  132.30 = 156-56.70

3c.  17.20 = 132.30 *0.13

3d.  149.50 = 132.30+17.20

3e. You do not have enough money, because you need $9.50 more.

Step-by-step explanation:

good luck

Question 1:

70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day

Question 2:

Both parts are solved below:

Step-by-step explanation:

Given:

Purchase price = 150

Part A

As the online trailer marks up 30% so the price would be:

= 150 + 30% of 150

=150 + 0.3(150)

= 150 + 45

Price online= $195

° ♡ ₒ ♡ °

Part B

As the superstore marks up the price by 40% so the price would be:

= 150 + 40% of 150

=150 + 0.4(150)

= 150 + 60

Price at superstore = $210

° ♡ ₒ ♡ °

Difference

Difference = price at superstore - price online

Difference = 210 - 195

Difference = $15

Difference in markup = 40% - 30% = 10%

So a 10% difference leads to the difference of $15 in price.

Answer:

n + 5/5 = -9

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

If the problem is

(n+5) /5

Let n = -10

(-10+5)/5

-5/5

-1

or if

n+ 5/5

-10 + 1

-9

Answer:

Solution given

r=1ft

π=3.14

now

Volume of sphere=⁴/3 πr³=⁴/3×3.14×1³=4.186ft³

=4ft³

Between 40 and 60 minutes the target heart rate strictly increasing then strictly decreasing. Therefore, option B is the correct answer.

From the given graph, in the first curve between the interval 0-10 speed is increasing,  between the interval 10-30 speed is constant and  between the interval 30-40 speed is decreasing.

In the second curve between the interval 40-50 speed is increasing,  between the interval 50-60 speed is decreasing, between the interval 60-65 speed is increasing and between the interval 65-73 speed is constant.

In the third curve between the interval 73-85 speed is increasing,  between the interval 85-92 speed is constant and  between the interval 92-100 speed is decreasing.

Therefore, option B is the correct answer.

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Answer:

x<4

Step-by-step explanation:

3x < 12

Divide with 3 on each side

x< 4

In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.

The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

To graph the inequality 3x < 12 on a number line, we can follow these steps:

- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.

- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.

- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.

We can do this by making an open circle (or "unfilled dot") at 4 on the number line.

- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.

We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.

Thus,

The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.

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7. The value of f'(4) for function f(x) = 3x + 4 is 3.

8. The equation for the tangent line to the curve is y = 1/2x + 1/2.

9. The equation for the tangent line to the hyperbola is y = -1/3 x + 2.

The definition of derivative of function f(x) is

f'(x) = Lim h→ 0 {f(x+h) - f(x)}/h

\(f'(x) \:=\:  \lim_{h \to 0} \frac{f(x+h) \:-\: f(x)}{h}\)

The tangent to a curve is equal to the first derivative of the curve where x is the x coordinate at the point of tangency to the curve.

The equation for a line

y - y₁ = m (x - x₁)

7. f(x) = 3x + 4

f'(4) = Lim h→ 0 {f(4 + h) - f(4)} /h

f'(4) = Lim h→ 0 {16 + 3h - 16} /h

f'(4) = Lim h→ 0 3h/h

f'(4) = Lim h→ 0 3

f'(4) = 3

8. y = f(x) = √x

m = f'(1) = Lim h→ 0 {f(1 + h) - f(1)} /h

m = Lim h→ 0 {√(1 + h) - 1} /h

m = Lim h→ 0 {√(1 + h) - 1} /h × {√(1 + h) + 1}/{√(1 + h) + 1}

m = Lim h→ 0 {(1 + h) - 1} /{h (√(1 + h) + 1)}

m = Lim h→ 0 {h /{h (√(1 + h) + 1)}

m = Lim h→ 0 {1/ (√(1 + h) + 1)}

m = 1/ (√(1 + 0) + 1)

m = 1/ (√(1) + 1)

m = 1/ (1 + 1)

m = 1/2

The equation line

y - y₁ = m (x - x₁)

y - 1 = 1/2 (x - 1)

y = 1/2x - 1/2 + 1

y = 1/2x + 1/2

9. y = f(x) = 3/x

m = f'(3) = Lim h→ 0 {f(3 + h) - f(3)} /h

m = Lim h→ 0 {3/(3 + h) - 1} /h

m = Lim h→ 0 {3/(3 + h) - (3 +h)/(3 + h)} /h

m = Lim h→ 0 {(3 - 3 - h)/(3 + h)} /h

m = Lim h→ 0 {(- h)/(3 + h)} /h

m = Lim h→ 0 {(- 1)/(3 + h)}

m = {(- 1)/(3 + 0)}

m = {(- 1)/3}

m = - 1/3

The equation line

y - y₁ = m (x - x₁)

y - 1 = -1/3 (x - 3)

y = -1/3 x + 1 + 1

y = -1/3 x + 2

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Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

it correct because i took this before

Answer:

C . The sun

plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal

By integrating,  the function is f(θ) = -sin(θ) - cos(θ) + θ + 6

What is relationship between integrals and derivatives?

The derivative and the integral are related to each other through the fundamental theorem of calculus:

If f(x) is a continuous function on an interval [a, b], then the function F(x) defined by F(x) = ∫[a, x] f(t) dt is continuous on [a, b] and differentiable on (a, b), and F'(x) = f(x). This means that the derivative of the integral of a function is equal to the original function.

To find f(θ), we need to integrate f''(θ) twice.

f''(θ) = sin(θ) + cos(θ)

Integrating once gives:

f'(θ) = -cos(θ) + sin(θ) + C₁

Using the initial condition f'(0) = 2, we have:

f'(0) = -cos(0) + sin(0) + C₁ = 1 + C₁ = 2

Therefore, C₁ = 1, and we have:

f'(θ) = -cos(θ) + sin(θ) + 1

Integrating again gives:

f(θ) = -sin(θ) - cos(θ) + θ + C₂

Using the initial condition f(0) = 5, we have:

f(0) = -sin(0) - cos(0) + 0 + C₂ = -1 + C₂ = 5

Therefore, C₂ = 6, and we have:

f(θ) = -sin(θ) - cos(θ) + θ + 6

So, the function f(θ) is:

f(θ) = -sin(θ) - cos(θ) + θ + 6

And f''(0) is:

f''(0) = sin(0) + cos(0) = 1

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Answer:

x = 11

Step-by-step explanation:

Given that,

The slope of the line, m = 3/4

First point = (x,2)

Another point = (3,-4)

We need to find the value of x.

The slope of a line is given by the formula as follows :

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4

Put all the values,

\(\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11\)

So, the value of x is 11.

Step 1

Given; A company produces optical-fiber cable with a mean of 0.3 flaws per 100 feet. What is the probability that there will be exactly 5 flaws in 1000 feet of cable? Round your answer to four decimal places.

Step 2

Let X denote the number of flaws in the optical cable.

The mean number of flaws per 100 feet =0.3

Thus the mean number of flaws per 1000 feet is;

Applying the formula

Answer;

The solution is, each tour guide have an equal number of 8 students.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

there are 12 students in each class.

Four classes are on a field trip.

There are 6 tour guides.

total students = 12*4

                       = 48

so, each guide have = 48/6

                                  = 8

Hence, The solution is, each tour guide have an equal number of 8 students.

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Answer:

Hitting a tennis ball over a net.

Step-by-step explanation:

B,C,D are non-rigid

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

In U.S. dollars, the equivalent money will be $100.74

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

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The circumference of the circle will be 56.52 m.

And, The area of a circle will be 254.34 m².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The radius of circle = 9 m

Now,

Since, The area of circle = πr²

Hence, The area of circle = 3.14 × 9²

                                        = 3.14 × 81

                                        = 254.34 m²

And, The circumference of the circle = 2πr

                                                         = 2 × 3.14 × 9

                                                         = 56.52 m

Thus, The circumference of the circle will be 56.52 m.

And, The area of a circle will be 254.34 m².

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

The required, In simpler problems with a single variable and clear constraints, an equation with a single unknown variable can be very helpful. In more complex problems with multiple variables and complex relationships, more advanced mathematical tools may be necessary to find a solution.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

An equation with a single unknown variable can be helpful in situations where we need to find the value of that variable that satisfies certain conditions or constraints. For example, if we know the area of a square and we need to find the length of one of its sides, we can use an equation with a single unknown (in this case, the length of one side of the square) to solve for that variable.

On the other hand, an equation with a single unknown variable may not be helpful in situations where the problem involves multiple variables or complex relationships between variables. For example, if we need to optimize a manufacturing process that involves multiple variables, such as temperature, pressure, and flow rate, we may need to use a system of equations or more advanced mathematical tools to find the optimal values for each variable.

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Answer:

96?

Step-by-step explanation:

The total number of blocks the first time in the day:

14 +34 = 48

Mutiply that by 2 to see how many blocks he does twice a day

48(2)= 96