a wire bolted to the ground 12 feet away from the base, is helping a tree stay upright. if the angle of elevation of the wire is 60 degrees, how long is the wire? round your answer to the nearest tenth

Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

Answer:

\( 0.34 \leq p \leq 0.38\)

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

\( 0.34 \leq p \leq 0.38\)

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Answer:

95.1 miles

Step-by-step explanation:

If one unit equal to one mile

Then,

Gas Station with 3.8 units = 3.8 miles

Byron's house with 88 units = 88 miles

Market with 3.3 units = 3.3 miles

Total miles travelled from Byron's house to gas station and then to market =3.8+88+3.3= 95.1 miles

Answer:

80

Step-by-step explanation:

Answer:

Hello your question is poorly written attached below is the complete question

Answer :

a) R'( 120 ) = 3000

b)  Increase the manufacturers revenue

Step-by-step explanation:

Given data:

F (120) = 9000 pairs

F' (120) = -50 pairs of shoes

R(p) = P * F(p)

a) find R' ( p )

R'(p) = P * F'(p)  + F(p) * 1

∴ R' ( 120 ) =  120 * ( -50 ) +  9000 * 1

                  = 3000

b) A small Increase in price by $3000 will Increase the manufacturers revenue

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer: $8179

Step-by-step explanation:

The principal is the amount of money that is invested at a particular interest rate.

In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.

Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:

= $12979 - $4800

= $8179

Answer:

  C.  5 units

Step-by-step explanation:

Point Q is 4 grid squares left of point P, and 3 grid squares down from point P. The distance between them must be more than 4 and less than 4+3=7. There is only one answer choice that qualifies: 5 units.

__

The distance is usually found using the Pythagorean theorem. Here, we can draw a right triangle by connecting P and Q for the hypotenuse, and by drawing along the grid lines to make perpendicular legs that are 3 and 4 units long. The Pythagorean theorem will tell you ...

  PQ² = 3² +4²

  PQ² = 25 . . . . . . . evaluate the sum

  PQ = √25 = 5 . . . take the square root

The distance from P to Q is 5 units.

__

Additional comments

This 3-4-5 right triangle is a Pythagorean triple that shows up in a lot of algebra, geometry, and trigonometry problems. It is worthwhile to remember this triple, and to be able to identify multiples of it, such as 6-8-10.

As we noted at the beginning, the length of the hypotenuse of a right triangle is always more than the longest leg and less than the sum of the leg lengths. This fact alone will help you solve many triangle and distance problems. (Of course, you know this if you have ever cut across a corner to walk a shorter distance.)

idek what bread is how am I supposed to explain this I just want points

Answer:6

Step-by-step explanation:

Factorized form of 6x + 36y is 6(x + 6y)

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.

For example, 12 can be broken down as 3 × 4 and these two numbers are called factors.

Given expression

6x + 36y

It can be written as

6x + 6 . 6y

Factoring out GCF = 6

6 (x + 6y)

Hence, 6 (x + 6y) is the factorized form of 6x + 36y.

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The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

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Answer:

C

Step-by-step explanation:

It's not a since the ranges are both 7

The median of the countryside zoo is smaller than the cityside zoo so b is false.

d is incorrect since we established that the medians are different.

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

9x-3-&r=7-X

Taking 7 to the left side of the equation,we have

9x-3-&r-7=-X

Multiplying through by -1 we have -1(9x-3-&r-7)=-1(-X)

which is -9x+3+&r+7=X

Therefore X= 7+&r+3-9x

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

b. f(3.5) = 52

Hope this helps!

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

Step-by-step explanation:

Roots mean the the function has a result of zero at that point. This function would therefore have zeros at 2, 3 and 5 and the degree would be at LEAST 3 and possibly higher depending on the multiplicity of each root.

factors would be

(x - 2)ⁿ¹(x - 3)ⁿ²(x - 5)ⁿ³    where n₁, n₂ and n₃ are Whole numbers ≥ 1

Answer:

so

Step-by-step explanation:

the first goes 3rd

the 2nd goes 1

3rd goes 4

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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The algebraic rule that best describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is P'(x, y) = (x + 8, y + 7). (Correct answer: A)

According to the image attached we understand that the quadrilateral ABCD is transformed into quadrilateral A'B'C'D' by applying pure translation. Translations are a kind of rigid transformation, defined as a transformation applied on a geometric locus such that Euclidean distance is conserved at every point of the construction.

Vectorially speaking, translations are described by the following formula:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

By direct comparison, we conclude that the quadrilateral ABCD is translated 8 units in the +x direction and 7 units in the +y direction. Hence, the algebraic rule that describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is:

P'(x, y) = (x, y) + (8, 7)

P'(x, y) = (x + 8, y + 7)

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Answer:

(-2,5/3)

Step-by-step explanation:

Answer:

I apologize, but the statement you provided is incomplete. The numerator of the simplified sum is missing. In order to find the sum of the terms, we need complete information, including the numerator and denominator of the fraction or expression. Please provide the complete statement or equation so that I can assist you accurately.

a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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