In(x - 2) – In(x + 2)

Answer:

B. 1.618

Step-by-step explanation:

I calculated it logically

Answer:

\(76^{\circ}\)

Step-by-step explanation:

Angles in a quadrilateral add to 360°.

So, the fourth angle is

\(360-125-89-70=\boxed{76^{\circ}}\)

Answer:

11 hours

Step-by-step explanation:

132/12=11

SOLUTION

Write out the equation

The equation of a line in slope intercept form is given by

Hence

From the equation given, we make y the subject of the formula of the equation given.

Divide both sides by 2

Hence

Therefore

The equation of the line in slope intercept form is

y=-3/2x + 15

Answer:

i think answer would be either -1/2x or -2x im not sure

Step-by-step explanation:

either you would

-6=3x and get -1/2x

or get -6=3x =2x

Answer:

i cant understans the quedtoion its worng bro

Answer:

(-5,2), (-5,4), and (-1,1)

Step-by-step explanation:

Answer:

\(approx. = 85.28 {ft}^{2} \)

Step-by-step explanation:

You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.

(l×w)+(πr^2)/2

(10×7)+((π2^2)/2

79+2π

\(approx. = 85.28 {ft}^{2} \)

Answer:

51/28

Step-by-step explanation:

Start by making common denominators.

7       2

4       4

Now subtract the two.

7   -    2  = 5

                 4

Now you have to make common denominators for the second part, 4/7

16  +  35 = 51

28     28    28

brainliest is nice ig

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

\(y = 3x +1\)

Step-by-step explanation:

Given

\(m = 3\)

\((x_1,y_1) = (-2,-5)\)

Required

The equation

This is calculated as:

\(y = m(x - x_1) + y_1\)

So, we have:

\(y = 3(x - -2) -5\)

\(y = 3(x +2) -5\)

Open bracket

\(y = 3x +6 -5\)

\(y = 3x +1\)

Answer:

3 whole but 3.4 as a decimal

Step-by-step explanation:

If the sun is 69° above the horizon, the length of the shadow cast by a building 91 ft tall

You should understand that the length of the shadow is the distance between a point to the foot of the tenth

This makes an angle of depression, with 69 degrees

Remember that the angle on top of the tenth is 90-69 = 21 degrees

therefore, using the trigonometrical ratio

We have Tan∅ = opposite of adjacent

Tan 21⁰ = x/9

x= 9*tan 21⁰

x = 9*0.3839

The distance is 3.45

Therefore the length of the shadow cast by a building is approximately 3.5 feet long

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The probability that a defective component will be detected only by the first inspector is 0.19

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, bar P(A∩B)=0.38

As we know:

bar P(A∩B)=1-P(A∩B)=0.38

P(A∩B)=1-0.38=0.62

A defective component will be detected only by the first inspector.

P(A∩barB)=P(A)-P(A∩B)

=0.81-0.62

P(A∩barB)=0.19

The probability that a defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: P(A∩barB)+P(barA∩B)

As we know:

P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)

Substitute the respective values we get:

P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)

=0.81+0.81-2(0.62)

=1.62-1.24

P(A∩ barB)+P(bar A∩B)=0.38

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)

As we know bar P(A∩B)=P(bar A∪ bar B)=0.38

From part (B): P(bar A∩B)+P(A∩bar B)=0.38

This can be written as:

P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0

The probability that all three defective components in a batch escape detection by both inspectors is 0

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First, we find the slope

Where,

Then, we use the point-slope formula to find the equation

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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By using the formula for slope of a line, it can be calculated that

For 12'' candle

Two points are (1, 10) and (4, 2)

Slope = \(-\frac{8}{3}\)

For 8'' candle

Two points are  (3, 4) and (6, 0)

Slope = \(-\frac{4}{3}\)

What is slope of a line?

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\\\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

Here,

For 12'' candle

Two points are (1, 10) and (4, 2)

Slope =

\(\frac{2-10}{4-1}\\-\frac{8}{3}\)

For 8'' candle

Two points are  (3, 4) and (6, 0)

Slope =

\(\frac{0-4}{6 - 3}\\-\frac{4}{3}\)

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Answer:

1.20

Step-by-step explanation:

120% is 120/100 and that equals 1.20 another way is to just remember that when you have a percent of a number and you need to put it in decimal form move the decimal place to the left twice.

i hope this helps!

Answer:

Step-by-step explanation:

1.2

hope that helps :)

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

The distance is 5 units

Step-by-step explanation:

Use the distance formula to find the distance.

Answer:

12 & 13

Step-by-step explanation:

trust me

Answer:

wait what grade is this question??

Step-by-step explanation:

Answer:

--you would decompose it into a rectangle and triangle along the dotted line then add the two areas together to get the total area. the area of the trapezoid is 59.375 ft²

--i havent seen the other problem so i cant answer the convince me part, but you should be able to say how its different from the answer above^^^

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

A quadratic function in vertex form is represented as:

Given the vertex (1,2) substitute it into the function:

As you can see, we still do not know the value for ''a'', use the point given (4,-7) substitute it (x,y) and solve for ''a'':

Hence, the equation of the function would be:

Answer:

we need more context but 2 points on a graph can be (0,0) and (5.5,5.5)

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer: Ray will need approximately 40 square inches of decorative paper to cover the lateral area of his paperweight. Rounded to the nearest square inch, he will need 40 square inches.

Step-by-step explanation:

To find the lateral area of the rectangular pyramid, we need to find the area of each triangular face and add them up.

Let's label the dimensions of the rectangular pyramid:

The base of the rectangular pyramid has dimensions 4 inches by 6 inches.

The height of the rectangular pyramid is 3 inches.

First, we need to find the slant height of the pyramid, which is the hypotenuse of each triangular face. We can use the Pythagorean theorem to find it:

slant height = √( (1.5)^2 + 3^2 ) = √( 2.25 + 9 ) = √11.25 ≈ 3.354

Now we can find the area of each triangular face using the formula:

area = 0.5 x base x height

The base of each triangular face is the width of the rectangular base, which is 6 inches. The height of each triangular face is the slant height we just found, which is approximately 3.354 inches.

So, the area of each triangular face is:

area = 0.5 x 6 x 3.354 = 10.062 square inches (rounded to three decimal places)

There are four triangular faces, so the total lateral area of the pyramid is:

total lateral area = 4 x 10.062 = 40.248 square inches (rounded to three decimal places)

Therefore, Ray will need approximately 40 square inches of decorative paper to cover the lateral area of his paperweight. Rounded to the nearest square inch, he will need 40 square inches.