Find the value of z.
Rút gọn biểu thức
x^2-3/x+√3
Answer:
i dont understand
Step-by-step explanation:
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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Assume that grass has 1500 calories of energy. How many calories are transferred to the
flea beetle? How many calories are transferred to the sparrow?
Answer:
Calories are transferred to flea beetle = 150 Calories
Calories are transferred to the sparrow = 15 Calories
Step-by-step explanation:
Given:
Calories in grass = 1,500 Calories
Find:
Calories are transferred to flea beetle
Calories are transferred to the sparrow
Computation:
According to food chain level only 10 % of Calorie transferred to the next level.
So,
Calories are transferred to flea beetle = 10% (Calories in grass)
Calories are transferred to flea beetle = 10% (1,500)
Calories are transferred to flea beetle = 150 Calories
Calories are transferred to the sparrow = 10% (Calories are transferred to flea beetle)
Calories are transferred to the sparrow = 10% (150)
Calories are transferred to the sparrow = 15 Calories
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
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Hurry plzzzzzz !!!!!!!
Please can you help me make some few corrections especially on
converting from OH to BR can you use a different
reactions?
Quation 1 [Synthese 1-methly-a proprieyde hexene fin bydrecerbay with more than seven (1) carbon por do all reapeds J.841 2-H₂O Nog 3-H& 4. ke LG off th /P6/1₂
There are a few corrections that need to be made in the question you have provided. Firstly, it is not clear what is meant by "fin by drecerbay" and "por do all reapeds".
Secondly, there are some missing numbers and symbols in the chemical equation provided.
Lastly, it is not clear what is meant by "converting from OH to BR can you use a different reactions " Without proper context, it is difficult to provide a comprehensive answer.
However, I will try to provide a general explanation of converting OH to BR and the use of different reactions. Converting OH to BR involves replacing a hydroxyl group (-OH) with a bromine atom (-Br) in a molecule.
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In a group consisting of 21 people from small towns and 28 people
from cities, 15 of the small-town residents and 21 of the city
residents exercise regularly. What is the probability that a person
selected at random from this group exercises regularly, given that the
person comes from a small town?
Enter your answer as a fraction, a decimal value accurate to two
places, or a percent accurate to the nearest whole number.
Answer:
31%
Step-by-step explanation:
21 s - 15 exercise
28 c - 21 exericse
15/49 = 31%
Answer:
85Step-by-step explanation:
21 + 28 = 49
49 + 15 = 64
64 + 21 = 85
Have a Nice Day : ) if Incorrect sorry.
use the limit process to find the slope of the graph of the function at the specified point
The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.
we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.
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The triangle shown below has an area of 4 units
Find the missing side.
Answer:
\(\boxed{4 units}\)
Step-by-step explanation:
Hey there!
Well if the base is 4 and we use the formula,
b*h / 2
4*4 = 16
16/2 = 8
So x is 4.
Hope this helps :)
Answer:
x = 2 unitsStep-by-step explanation:
Area of a triangle is given by
base × height
\( A = \frac{1}{2} base × height\)
From the question
Area = 4 units²
height = 4 units
let x represent the base
We have
\(4 = \frac{1}{2} \times x \times 4\)
4 = 2x
Divide both sides by 2
x = 2 unitsHope this helps you
I need help understanding, how do I solve this?
3 – [–(–1)]
Answer:
3-[1]
3-1
2
Step-by-step explanation:
=//7777/))_+++++++4
Are 3.6 and 2.6 equivalent decimals? yes/no
Answer:
yes
Step-by-step explanation:
Use a two-column proof to prove the Triangle Proportionality Theorem:
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). \(\frac{AD}{AB}=\frac{AE}{AC}\) 6). Definition of two similar triangles
Hence proved.
Write an equation of the line in point slope form given the information below slope= 7 point (1,4)
Answer:
y-4=7(x-1)
Step-by-step explanation:
y-y1=m(x-x1)
y-4=7(x-1)
The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.
To write the equation of a line in point-slope form, we use the formula:
y - y₁ = m(x - x₁)
where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.
In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:
y - 4 = 7(x - 1)
Simplifying the equation, we can distribute the 7:
y - 4 = 7x - 7
To isolate y, we can add 4 to both sides of the equation:
y = 7x - 7 + 4
y = 7x - 3
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Find the slope of the line through the points (11, -18) & (19, 16)
Answer:
m = 17/4
Step-by-step explanation:
(11, -18) & (19, 16)
Slope Formula:
m=(y2-y1)/(x2-x1)
m=(16 + 18)/(19-11)
m=(34)/8
m = 17/4
Please help ASAP due today
Answer:
the answer is 7
Step-by-step explanation:
Answer:
sqrt(11) =x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
x^2 + 5^2 = 6^2
x^2 +25 = 36
x^2 = 36-25
x^2 =11
Taking the square root of each side
sqrt(11) = sqrt(x^2)
sqrt(11) =x
A spherical hot-air balloon has a diameter of 55 feet. when the balloon is inflated, the radius increases at a rate of 1.5 feet per minute. approximately how long does it take to inflate the balloon to two-thirds of its maximum volume? use π = 3.14 and v = four-thirds pi r cubed. 16 minutes 18 minutes 23 minutes 26 minutes
Time taken to inflate the balloon to two-thirds of its maximum volume is 16 minutes.
Given the diameter of the balloon = 55 ft
Let r be the radius of the balloon. Then r = 55/2 = 27.5 ft
Rate of change of radius = 1.5 ft/min.
The maximum volume of the balloon = \(\frac{4}{3}\pi r^3\) = \(\frac{4}{3}\times3.14\times 27.5^3\)
= 87069.583 \(ft^3\)
Two- thirds of the volume = (2/3) x 87069.583 = 58046.389 \(ft^3\)
Let R be the radius of the balloon with two-thirds of its maximum volume.
Then, \(\frac{4}{3}\pi R^3\) = 58046.389
⇒ \(R^3=\frac{3}{4\times3.14}\times 58046.389\) = 13864.583
⇒ \(R=13864.583^\frac{1}{3}\)
⇒ R = 24.023 ft
Now time taken to inflate balloon to the two-third of the maximum volume = 24.023/1.5 = 16 minutes approximately.
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Answer:
A) 16 minutes
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Which of the following shapes is the base of a cone?
O A. Circle
O B. Pentagon
O C. Triangle
OD. Square
The shapes is the base of a cone is Circle.
What is Circle?A circle is often referred to as the locus of points drawn equidistant from the centre. The radius of a circle is the distance between its centre and its outer line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.
A circle is a fundamental 2D form that is measured by its radius.
We have a Cone.
A Cone if compared as two dimensional then a cone have have Triangular shape.
and, the base of cone have a circular shape.
Thus, the shape of base of cone is Circle.
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A linear function has an x-intercept of 12 and a slope of 3/8. How does this
function compare to the linear function that is
represented by the table?
It has the same slope and the same y-intercept.
O It has the same slope and a different y-intercept.
O It has the same y-intercept and a different slope.
O it has a different slope and a different y-intercept.
Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
---
Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
1) A camera costs £180 in a 10% sale. What was the pre-sale price
Answer:
£200
Step-by-step explanation:
Let the original price of the camera be x.
The 10% discounted price of the camera is £180. This means that 10% of x was deducted from x to give £180:
x - (10/100 * x) = 180
x - 0.1x = 180
0.9x = 180
x = 180 / 0.9 = £200
The pre-sale price was £200.
One angle of a triangle measures 40°. The other two angles are in a ratio of 5:9. What are the measures of those two angles?
Answer:
50 and 90
Step-by-step explanation:
(180-40)/(5 + 9) = 10
=> 50 and 90
If a simple Pearson correlation value = .685, what percentage of variance is ACCOUNTED for?
a. 35%
b. 68%
c. 47%
d. 69%
If a simple Pearson correlation value = .685, the percentage of variance accounted for by the correlation is 47%.
To determine the percentage of variance accounted for by a Pearson correlation coefficient, we need to square the correlation coefficient and multiply it by 100.
In this case, the given correlation coefficient is 0.685. Squaring this value gives us 0.469225. Multiplying this by 100, we find that the percentage of variance accounted for by the correlation is approximately 46.92%.
Therefore, the correct answer is c. 47%.
The squared correlation coefficient, also known as the coefficient of determination (\(r^2\)), represents the proportion of the variance in one variable that can be explained or accounted for by the linear relationship with the other variable. It indicates the strength and extent to which the two variables are related.
In this case, the \(r^2\) value of approximately 0.469225 means that approximately 46.92% of the variance in the dependent variable can be explained by the linear relationship with the independent variable. The remaining 53.08% of the variance is attributed to other factors or sources of variation that are not accounted for by the correlation.
Understanding the percentage of variance accounted for by a correlation is valuable in assessing the strength and meaningfulness of the relationship between variables. A higher \(r^2\) value indicates a greater proportion of variance explained, indicating a stronger and more predictive relationship between the variables.
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There are 5 red, 4 green, and 3 blue points on a circle. Find the number of triangles which have vertices of different color chosen from the given points
Answer:
there are 60 triangles with vertices of different colors that can be formed from the given points.
Step-by-step explanation:
To find the number of triangles with vertices of different colors chosen from the given points, we can consider the combinations of colors.
We have 5 red points, 4 green points, and 3 blue points on the circle.
To form a triangle with vertices of different colors, we need to choose one point from each color group.
The number of possible triangles can be calculated as the product of the number of choices from each color group:
Number of triangles = (number of choices for red points) * (number of choices for green points) * (number of choices for blue points)
Number of triangles = C(5, 1) * C(4, 1) * C(3, 1)
where C(n, r) represents the combination of choosing r items from a set of n items.
Evaluating the expression:
Number of triangles = 5 * 4 * 3 = 60
tell me your life story
and perhaps some song recommendations as well
thanks :)
Answer:
I'm still in High School and planning on going to the military after going through and making money for the most part and for song recommendations I would say: Rob Zombie, Alice in Chains, and Guns N' Roses.
I need explanations under similar shapes
The two major properties of similar shapes include the following:
They must have the same shape.They can have different sizes.What are the properties of similar geometric shapes?In Mathematics, two (2) geometric shapes are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
This ultimately implies that, two (2) similar geometric shapes can have different sizes depending on the scale factor that is applied because it would either enlarge (increase) or reduce (decrease) them.
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Is this correct or no
An instructor hands out course evaluations where students have a rank of 0 to 5. What is the best way for the data to be measured called?
Multiple Choice
a. filtered
b. ordinal
c. nominal
d. numerical
The best way for the data to be measured is called ordinal.
Option b.
Ordinal data is a type of categorical data in which the categories have a natural order or ranking. In this case, the students are ranking the instructor on a scale of 0 to 5, with 0 being the lowest and 5 being the highest. This type of data is best measured using ordinal measures, as it allows for the ranking of the data in a meaningful way.
Filtered data refers to data that has been filtered or sorted in some way. Nominal data is a type of categorical data in which the categories do not have a natural order or ranking. Numerical data is a type of data that is measured on a numerical scale, such as height or weight.
Therefore, the correct answer is b. ordinal.
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Two variables are correlated with r = 0.44.
Which description best describes the strength and direction of the association between the variables?
Responses
strong positive
moderate positive
moderate negative
strong negative
The description that best describes the strength and direction of the association between the variables is B. moderate positive.
What is a correlation?A correlation is defined as a causative association between two or more variable, which can be used to make predictions about a given outcome.
The degree and direction of the link between the variables are best described by a moderate positive correlation. R = 0.44 indicates that the independent variable might raise the dependent variable by 0.44. R correlation ranges from 0 to 1, with 0 indicating the weakest connection and 1 indicating the strongest correlation.
As a result, 0.44 is a moderate correlation. The correlation coefficient's minus and positive values indicate the direction of the relationship between the variables.
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Are the ratios 8:10 and 4:5 equivalent?
Answer:
yes the ratio are equivalent
Answer:
yes they are egivalent
Step-by-step explanation:
Solve for x. Round to the nearest hundredth.
tan 51° 14.5
Answer:
17.91
Step-by-step explanation: