The slope of the given line is:
A. 2
B. 4
C. -2
D. None

Answer: 7

Step-by-step explanation: -35 / -5 = 7

Answer:

The answer is 7. I did the lesson and 7 was the correct answer

Step-by-step explanation:

So the rescue line must be about 47.03 meters long to reach the climber.

When two half-lines (rays) with the same terminal are combined, an angle is produced. The angle's vertex, as opposed to the rays, which are frequently referred to as the angle's legs or arms.

Let's call the distance between the rescue team's current position and the base of the rock face "x" and the height of the climber on the rock face "h". We can then use trigonometry to set up two equations based on the given angles of elevation:

tan(26.6°) = h / x

tan(30.3°) = h / (x - 10)

We can solve for "h" by isolating it in one of the equations. For example, we can rearrange the first equation to get:

h = x * tan(26.6°)

Now we can substitute this expression for "h" into the second equation and solve for "x":

tan(30.3°) = (x * tan(26.6°)) / (x - 10)

Multiplying both sides by (x - 10), we get:

(x - 10) * tan(30.3°) = x * tan(26.6°)

Expanding the left side, we get:

x * tan(30.3°) - 10 * tan(30.3°) = x * tan(26.6°)

Simplifying, we get:

x * (tan(30.3°) - tan(26.6°)) = 10 * tan(30.3°)

Dividing both sides by (tan(30.3°) - tan(26.6°)), we get:

x = 10 * tan(30.3°) / (tan(30.3°) - tan(26.6°))

Using a calculator, we find that x ≈ 42.95 meters.

Now we can substitute this value for "x" into either of the original equations to find "h". Using the first equation, we get:

h = x * tan(26.6°) ≈ 19.23 meters

So the climber is about 19.23 meters up the rock face. To find the length of the rescue line, we can use the Pythagorean theorem:

rescue line length = √(x² + h²)

Substituting the values we found, we get:

rescue line length ≈ √(42.95² + 19.23²) ≈ 47.03 meters

So the rescue line must be about 47.03 meters long to reach the climber.

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The rescue line needs to be about 49.8 meters long to reach the climber.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles.

Let the height of the rock face be h meters and let the distance of the climber from the base of the rock face be d meters. We want to find the value of h and the length of the rescue line, which is the hypotenuse of a right triangle formed by the height, the distance to the climber, and the length of the shortened distance to the climber.

We can use the tangent function to set up two equations involving h and d:

tan 26.6° = h / d (equation 1)

tan 30.3° = h / (d - 10) (equation 2)

We can solve for h in equation 1:

h = d tan 26.6°

Substituting this expression for h into equation 2, we get:

tan 30.3° = d tan 26.6° / (d - 10)

Multiplying both sides by d - 10 and simplifying:

(d - 10) tan 30.3° = d tan 26.6°

d tan 30.3° - 10 tan 30.3° = d tan 26.6°

d (tan 30.3° - tan 26.6°) = 10 tan 30.3°

d = 10 tan 30.3° / (tan 30.3° - tan 26.6°)

Using a calculator, we find that d ≈ 45.6 meters.

Substituting this value for d into equation 1, we can find the height:

h = d tan 26.6° ≈ 21.5 meters

So the climber is about 21.5 meters above the base of the rock face. To find the length of the rescue line, we can use the Pythagorean theorem:

rescue line length = √(h^2 + d^2) ≈ 49.8 meters

Hence, the rescue line needs to be about 49.8 meters long to reach the climber.

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Answer:

Step-by-step explanation:

p/4 + 8 = 7              Subtract 8 from both sides

p/4 = 7 - 8

p/4 = - 1                   Multiply both sides by 4

4(p/4) = -1 * 4

p = - 4

The number of possible arrangements of pictures she can hang on her wall is 120.

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

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Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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A large expected number of events in random data usually makes mining for these events meaningless as a lot of false positives are generated. Hence, the statement is true.

When a large expected number of events are present in random data, it can lead to a lot of false positive results when mining for these events. This is because a large expected number of events increases the probability that any observed event is just a random occurrence and not a meaningful or significant one.

When there is a high rate of false positive results, the validity and reliability of the findings are called into question, making the data mining process meaningless. To ensure the validity and reliability of results, it's important to have a reasonable number of expected events in the data and to use appropriate statistical methods to control the false positive results.

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1. The radius is 7feet and the height is 40 feet

2. The amount of gas filled in tank is 6,154.4 feet³.

Given that the diameter of the cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

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To find the extrema of a function, you need to look for points where the slope of the function is zero or undefined. These points are called critical points.

If a critical point is a local minimum, the slope of the function changes from negative to positive at that point. If it is a local maximum, the slope changes from positive to negative.

To determine whether a critical point is an absolute minimum or maximum, you need to compare the function values at the critical points to the function values at the endpoints of the domain. The lowest function value is the absolute minimum, and the highest function value is the absolute maximum.

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Correct question:

What is the process for finding the extrema of a function, and how do you determine whether a critical point is an absolute minimum or maximum?

Answer:

x=70

Step-by-step explanation:

when added together, verticle angles equal 180 degrees.

2x-10+x+20=180

3x-10+20=180

3x-30=180

3x=210

x=70

Answer:  

False

Step-by-step explanation:

It is pretty simple

Answer:

That statement is false I think

Using the given amounts of paint, we end up with

1/10 + 2/5 + 1/4 = 2/20 + 8/20 + 5/20 = 15/20 = 3/4

cup of purple paint.

But you want to make 3/8 gallons of purple paint. Convert this amount to gallons (remember that there are 16 cups to 1 gallon) :

(3/4 cup) • (1 gal) / (16 cups) = 3/64 gal

and this is 1/8 of 3/8, since 1/8 • 3/8 = 3/64. This means you need 8 times as much whit, red, and blue paint to get the amount you want.

So, you should use

8 • 1/10 = 8/10 = 4/5 cup white paint

8 • 2/5 = 16/5 = 3 + 1/5 cups red paint

8 • 1/4 = 8/4 = 2 cups blue paint

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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Let number be x

\( \leadsto \sf {x}^{2} + 2 = 227\)

\( \\ \\ \)

\( \leadsto \sf {x}^{2} = 227 - 2\)

\( \\ \\ \)

\( \leadsto \sf {x}^{2} = 225\)

\( \\ \\ \)

\( \leadsto \sf {x} = \sqrt{225} \)

\( \\ \\ \)

\( \leadsto \sf {x} = \sqrt{15 \times 15} \)

\( \\ \\ \)

\( \leadsto \sf {x} = 15\)

Number = 15

We need to add the two fractions.

The problem is:

We first convert the mixed numbers into improper fraction using the rule shown below:

Thus, the problem becomes:

Now, we take the common denominator, 10, and add them. The steps are shown below:

We can against convert it back to mixed number :

The correct answer is:

Answer:

11 minute

Step-by-step explanation:

22 min/2 miles

11 min/ 1 mile

22 minutes ÷2=11 minutes for 1 mile

11 ×11=121 for 11 miles

The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

Generally,  is  mathematically given as

\($H \rightarrow(n, m)$\)

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)

\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)

In conclusion, P(x=4)=0.00085

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

Answer:

\(Area = 4x^2 - 14x + 10\)

Step-by-step explanation:

See Attachment for Complete Question

Given

\(Width = 5mi\) --- For the forest

\(Length = 2mi\) -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

\(Width = 5 - (x + x)\)

\(Width = 5 - 2x\)

\(Height = 2 - (x +x)\)

\(Height = 2 - 2x\)

The area is then calculated as follows;

\(Area = Width * Height\)

\(Area = (5 - 2x) * (2 - 2x)\)

Expand

\(Area = 5(2 - 2x) -2x(2 - 2x)\)

Open Brackets

\(Area = 10 - 10x - 4x + 4x^2\)

\(Area = 10 - 14x + 4x^2\)

Reorder

\(Area = 4x^2 - 14x + 10\)

Hence; the required polynomial for the habitat area is:

\(Area = 4x^2 - 14x + 10\)

Answer:   maximum "safe"  Force = 415.58 N

Step-by-step explanation:

Length = 1.2 m

lower bound is 1.15 (because it rounds up to 1.2)

upper bound is 1.24 (because it rounds down to 1.2)

Note: 1.25 would round up to 1.3

width = 2.5 m

lower bound is 2.45 (because it rounds up to 2.5)

upper bound is 2.54 (because it rounds down to 2.5)

Note: 2.55 would round up to 2.6

Pressure = 150 N/m²

lower bound is 147.5 (because it rounds up to 150)

upper bound is 152.4 (because it rounds down to 150)

Note: 152.5 would round up to 155

Max "safe" Force means minimum Area and minimum Pressure (lower bounds)

Force = Area x Pressure

           = length x width x Pressure

           = 1.15 x 2.45 x 147.5

           = 415.58

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Answer:  

can u be more specific so i can properly help u  

Explanation:  

pls explain and i will edit my answer  

Answer:

No Inez is not correct.

Step-by-step explanation:

\(\frac{1}{3} > \frac{1}{5}\) (1/3 is greater than 1/5)

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

d

Step-by-step explanation:

3x+6=21

-6+21= 15

15÷3=5

When the figure passed through the transformations the image formed is similar to the image at B as attached

The figure is in the second quadrant

clockwise rotation 90degrees about the origin will being the figure to the first quadrant

Translation 9 units down will bring an image to the -6 of the y direction in the fourth quadrant

reflection over the y axis will create a mirror image of the figure and make the image at the third quadrant

The option B correctly shows the final image

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