The slope that represents the linear relationship between the height of a rock climber and the time she spends rappelling down a rock climbing wall will be negative.
The slope of a linear relationship represents the rate of change between two variables. In this case, the variables are the height of the rock climber and the time spent rappelling. Since the climber is descending down the wall, the height is decreasing as time progresses. This indicates a negative relationship between height and time.
As the climber spends more time rappelling, the height decreases at a constant rate. The negative slope signifies that for each unit increase in time, there is a corresponding decrease in height. This aligns with the intuitive understanding that as the climber descends further down the wall, her height decreases.
Therefore, based on the given information that the climber is rappelling down the wall, we can conclude that the slope representing the linear relationship between height and time will be negative.
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-2/4 divided by 8/6
what do you think?
Answer: -3/8
Step-by-step explanation:
What is the value of (2/3)2?
Answer:
2/3(2)
=(2/3)(2/1)
=(2*2)/(3*1)
=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
(2/3)2
(2/3)(2/1)=4/3
Can someone tell me how to do this? What’s the answer?? I have no idea please explain
if it is accepted that an observed association is a causal one, an estimate of the impact that a successful preventive program might have can be derived from:
The estimate of the impact that a successful preventive program might have can be derived from
attributable risk.
What is an attributable risk?In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.
Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.
The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.
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please help asap !!!!
Answer:
41.5
Step-by-step explanation
The equation is
X×65/100=27
x=27×100/65
x=27×20/13
x=540/13
x=41.5
I need help I don't understand this stuff it is very confusing
3x=y
y=2x+2
The temperature was -5°F and then fell 8°F.
Answer:
The temperature is now -13 degrees Fahrenheit
Hope that helps!
Step-by-step explanation:
Answer:
It increased??
Step-by-step explanation:
Graph the solution to the following linear inequality in the coordinate plane 5x-y>-3
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\(\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\)
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
please help me out, I’ll give brainliest
whats the sum of a number and negative three in a algebraic expression
Answer: x+-3
Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3
Hope this helped!!!!
By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above
By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)
This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)
This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).
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Could you please help me find x
Answer:
x = 3√3
Step-by-step explanation:
You want the middle-length side of a 30°-60°-90° triangle whose short side is 3.
Special trianglesThere are two "special" triangles in trigonometry. The ratios of their side lengths are used in many algebra, trig, and geometry problems.
30°-60°-90° triangle has sides in the ratios 1 : √3 : 2
45°-45°-90° isosceles right triangle has sides in the ratios 1 : 1 :√2
ApplicationThe triangle shown in this problem is a 30°-60°-90° right triangle with a short side of length 3. You want the middle-length side (x), which the above tells us is √3 times the length of the short side.
x = 3√3
__
Additional comment
You can use the trig relation ...
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
For this triangle, this means ...
x = 3/tan(30°)
x = 3/(1/√3) = 3√3
A suitable calculator can show this in the desired format.
Which issue is least likely arise in machine learning (ml) and artificial intelligence (ai)?
The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).
What is machine learning?
The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.
The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.
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A model airplane is made to the scale 1 inch to 24 inches. If the wing of the actual
plane is 18 feet long, how long will the model wing be?
Which derived character is placed immediately after that group on the cladogram?
Answer:
Step-by-step explanation:
One that has the next least in common with the rest.
4. Write the equation of the circle in
standard form from the following graph,
Answer:
(x - 5)² + (y - 3)² = 6²
Step-by-step explanation:
From the graph the center is (5, 3) and the radius is 6
Standard form of a circle is
(x - h)² + (y - k)² = r²
(h, k) is the center and r is the radius
Plugging in the value from the graph
(x - 5)² + (y - 3)² = 6²
0.5 divided 1.5 step by step
Answer: 0.33
Step-by-step explanation:
You get 0.33 repeating
Answer:
1/3
Step-by-step explanation:
0.5 divided by 1.5 can also be written as 1/2 divided by 3/2.
So lets rewrite it like this:
(1/2)/(3/2)
From here there are two ways we can solve this. One is to multiply by the reciprocal:
(1/2) × (2/3)= 2/6
which simplifies to 1/3 as your final answer.
The other method is to "oreja"
you multiply the top most number and the bottom most number together and then the two middle ones like so:
(1/2)/(3/2) -> (1×2)/(2×3)
which is 2/6 once again and simplifies to 1/3 the final answer.
Consider the proposition, "If x=4 then 3x = 12." Decide whether each statement below is the inverse, the converse, the contrapositive, or neither. (a) If 3x = 12, then x=4. (b) If 3x #12 then x #4. (c) If 3x = 12, then x 4. (d) If x # 4, then 3x + 12 (C) x = 4 or 3x = 12 3.
In the given proposition, "If x=4 then 3x = 12," we can determine the different forms of logical statements and identify whether each statement is the inverse, converse, contrapositive, or neither.
(a) The statement "If 3x = 12, then x=4" is the converse of the given proposition. It switches the hypothesis and the conclusion of the original statement.
(b) The statement "If 3x ≠ 12, then x ≠ 4" is neither the inverse, converse, nor contrapositive. It introduces the negation of both the hypothesis and the conclusion.
(c) The statement "If 3x = 12, then x > 4" is the contrapositive of the given proposition. It negates both the hypothesis and the conclusion and reverses their order.
(d) The statement "If x ≠ 4, then 3x + 12" is neither the inverse, converse, nor contrapositive. It introduces the negation of the hypothesis and does not include a conclusion.
Regarding statement (C), "x = 4 or 3x = 12," it is not related to the given proposition. It represents a logical disjunction, stating that either x is equal to 4 or 3x is equal to 12.
In summary, statement (a) is the converse, statement (b) does not fit any of the given forms, statement (c) is the contrapositive, and statement (d) does not fit any of the given forms. Statement (C) represents a logical disjunction, unrelated to the given proposition.
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Write an equation for each line. A graph. Line k. Line m. Line p. Line r.
Answer:
line k: y = x + 4
line m: y = -2x + 4
line p: y = -6
line r: x = 1
Step-by-step explanation:
The equation for each line considering the graph is line k: y = x + 4, line m: y = -2x + 4, line p: y = -6, line r: x = 1
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Calculate the slopes of the lines as shown below,
\(m = y_2 - y_1 / x_2 - x_1\)
For line k, m = 0 - (-4) / -4 -0
m = -1
Thus, the equation of a line having slope -1 and coordinates (0, 4) can be written as,
\(y-y_1 = m(x- x_1 )\)
y - 4 = -1(x-0)
y -4 = -x
y = -x + 4
Similarly, write the equation for lines m, p, and r,
line m: y = -2x + 4
line p: y = -6
line r: x = 1
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find the point on the graph of f(x) = x that is closest to the point (6, 0).
the x-value on the graph of f(x) = x that corresponds to the point closest to (6, 0) is x = 3. The corresponding point on the graph is (3, 3).
To find the point on the graph of f(x) = x that is closest to the point (6, 0), we can minimize the distance between the two points. The distance formula between two points (x1, y1) and (x2, y2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we want to minimize the distance between the point (6, 0) and any point on the graph of f(x) = x. Thus, we need to find the x-value on the graph of f(x) = x that corresponds to the minimum distance.
Let's consider a point on the graph of f(x) = x as (x, x). Using the distance formula, the distance between (x, x) and (6, 0) is:
d = sqrt((6 - x)^2 + (0 - x)^2)
To minimize this distance, we can minimize the square of the distance, as the square root function is monotonically increasing. So, let's consider the square of the distance:
d^2 = (6 - x)^2 + (0 - x)^2
Expanding and simplifying:
d^2 = x^2 - 12x + 36 + x^2
d^2 = 2x^2 - 12x + 36
To find the minimum value of d^2, we can take the derivative of d^2 with respect to x and set it equal to zero:
d^2/dx = 4x - 12 = 0
4x = 12
x = 3
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|-9+3|-4+|6-2|-5|-2|
Answer:
3
Step-by-step explanation:
6-4+4-5+2
Write an equation of a line in point-slope form that goes through the point (-7, -2) with aslope of 2/3
Given:
\(\text{slope(m)}=\frac{2}{3};(x_1,y_1)=(-7,-2)\)Equation of line is,
\(y-y_1=m(x-x_1)\)\(y+2=\frac{2}{3}(x+7)\)\(y=\frac{2}{3}x+\frac{14}{3}-2\)\(y=\frac{2}{3}x+\frac{8}{3}\)How to find average rate of change of a function calculator?
x = 2 to x = 5 is 4.
To find the average rate of change of a function, you need to subtract the initial value from the final value and divide it by the change in the input variable. Here's how to use a calculator to find the average rate of change of a function:Step 1: Input the initial value of the input variable into the calculator.Step 2: Input the final value of the input variable into the calculator.Step 3: Subtract the initial value from the final value.Step 4: Divide the difference by the change in the input variable. Example:Find the average rate of change of the function f(x) = 3x - 1 from x = 2 to x = 5.Step 1: Input 2 into the calculator.Step 2: Input 5 into the calculator.Step 3: Subtract 3(2) - 1 from 3(5) - 1. The result is 14.Step 4: Divide 14 by 5 - 2. The result is 4.Therefore, the average rate of change of f(x) from x = 2 to x = 5 is 4.
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Find the product.
406
×
18
A.
7,308
B.
4,148
C.
7,348
D.
4,248
I need the answer to all these questions!! Please hurry!! Lots of points!
The range of the data is 2.8
The median is 1.4, lower quartile is 1.0, upper quartile is 1.8. The interquartile range is 0.8.
There are no outliers.
How to find the five number summary ?The range of the data is :
= 28 - 0.9
= 2. 8
The median is the middle value when the data is arranged in order. Here, the median is 1.4.
The lower quartile is the median of the lower half of the data. Here, the lower quartile is 1.0.
The upper quartile is the median of the upper half of the data. Here, the upper quartile is 1.8.
The interquartile range (IQR) is the difference between the upper and lower quartiles.
Here, IQR = 1.8 - 1.0 = 0.8.
The measures of variation (range and IQR) suggest that the data is moderately dispersed, with Spanish having the highest number of speakers and Korean having the lowest. The median and quartiles suggest that the data is somewhat skewed to the right, meaning that there are more languages with fewer speakers than there are with more speakers.
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The mass of a piece of aluminum is 250 grams. The density of aluminum is 2.7 g/mL. What is the volume of the piece of aluminum? A. 92.59 mL, B. 247.3 mL, C. 95 mL, D. 0.01
Answer:
LETTER A
Step-by-step explanation:
BECAUSE IF YOU DIVIDE THE 250 GRAMS TO 2.7 G/ML THE ANSWER IS 92.59ml
Answer:
A. 92.59 mL
Step-by-step explanation:
Given the functions f(x) = x^2 + 6x - 1, g(x) = -x^2 + 2, and h(x) = 2x^2 - 4x + 3, rank them from least to greatest based on their axis of symmetry. (2 points)
Group of answer choices
f(x), g(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)
h(x), f(x), g(x)
Answer:
f(x), g(x), h(x)
Step-by-step explanation:
f(x) = x² + 6x - 1 = (x+3)² - 10 (-3 , 10) y=-3
g(x) = -x² + 2 = -(x-0)² + 2 (0 , 2) y=0
h(x) = 2x² - 4x + 3 = 2 (x-1)² + 1 (1 , 1) y=1
Alex has collected apples. It has 40 boxes of 8.5 kg each and 6 sacks of 90kg each. Pack the apples in bags of 2.5 kg each. how many bags do you get?
Answer:
40*8.5=340
6*90=540
total=880/2.5=352bags
1. Find volume, show work round to 2 decimal places
*cylinder*
in this case since it's a cylinder always have to do is multiply the two given measurements dancing that she gets all you need to do is run it off to the nearest two decimal places when you say to the nearest two decimal places while trying to say they are two numbers after the coma
help me with this pls you will get 100 point
Answer:
8
Step-by-step explanation:
Answer:
8 Km
Step-by-step explanation:
Pythagorean theorem:Use Pythagorean theorem to find the length of the lake.
\(\sf \boxed{leg_1^2 + leg_2^2=hypotenuse^2}\)
Let the length of Swan Lake = x Km
6² + x² = 10²
36 + x² = 100
x² = 100 - 36
x² = 64
x = √64
x = 8 km
Length of Swan Lake = 8 Km