Square root of 21 on number line
Answers
On the number line the square root of 21 is approximately 4.58257569496.
What is number line?
A number line is a straight line on which we can plot numbers. It can be thought of as a visual representation of the real number system.
To plot the square root of 21 on a number line, we first need to find its approximate value. We can use a calculator or long division to do this.
Using a calculator, we find that the square root of 21 is approximately 4.58257569496.
To plot this on a number line, we start by drawing a horizontal line and marking a point at zero. Then, we estimate the location of the square root of 21 on the line. We can divide the line into equal segments and place the point at the appropriate location.
Alternatively, we can use a ruler to draw a line segment of length approximately 4.58 units starting from zero, and mark the endpoint of this line segment as the square root of 21.
Here is a rough sketch of what the number line with the square root of 21 would look like:
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Related Questions
$7.10 is what percent of $58.70?
Answers
Answer:
Step-by-step explanation:
(7.10/58.70)*100 ≈ 12.95%
Solve the equation for all values of x.
|5x + 8| 8 = 3x
Answers
Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f.g and state its domain.
-14x^2 + 36x - 18; all real numbers
12x^2 - 48x + 21; all real numbers
-14x^2 + 36x - 18; all real numbers except x = 7
12x^2 - 48x + 21; all real numbers except x = 1
Answers
Answer:
Not sure if this is right, but I hope it helps. Please see attached pic
Step-by-step explanation:
what a subcategory of a polygon
Answers
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
Answers
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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3
6x
21(x + 1) 21(x + 1 )
.
Answers
21(x+1)=21x+21?
3*6x=18x
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
Answers
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet. (a) Express the volume V of the box as a function of its width w. Determine the domain of V (w).
Answers
Answer:
(a) \(V = (-8W^3 + 800W^2)/3\)
(b) \(W > 100\)
Step-by-step explanation:
Let's call the length of the box L, the width W and the height H. Then, we can write the following equations:
"A rectangular box has a base that is 4 times as long as it is wide"
\(L = 4W\)
"The sum of the height and the girth of the box is 200 feet"
\(H + (2W + 2H) = 200\)
\(2W + 3H = 200 \rightarrow H = (200 - 2W)/3\)
The volume of the box is given by:
\(V = L * W * H\)
Using the L and H values from the equations above, we have:
\(V = 4W * W * (200 - 2W)/3\)
\(V = (-8W^3 + 800W^2)/3\)
The domain of V(W) is all positive values of W that gives a positive value for the volume (because a negative value for the volume or for the width doesn't make sense).
So to find where V(W) > 0, let's find first when V(W) = 0:
\((-8W^3 + 800W^2)/3 = 0\)
\(-8W^3 +800W^2 = 0\)
\(W^3 -100W^2 = 0\)
\(W^2(W -100) = 0\)
The volume is zero when W = 0 or W = 100.
For positive values of W ≤ 100, the term W^2 is positive, but the term (W - 100) is negative, then we would have a negative volume.
For positive values of W > 100, both terms W^2 and (W - 100) would be positive, giving a positive volume.
So the domain of V(W) is W > 100.
Sample response: The product of two numbers with
different signs is negative, so 2(-12) = -24, not 24. Then
-24-(-30) = -24 + 30 = 6.
Select all the information you considered when writing
your response.
The product or quotient of two integers with
different signs is negative.
To subtract an integer, add its opposite.
To add integers with opposite signs, subtract the
absolute values. The sum has the same sign as the
integer with the greater absolute value.
Answers
By considering these rules and properties of integers, the correct result of 6 was obtained.
When writing the response, I considered the following information:
The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.
To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.
To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.
This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.
By considering these rules and properties of integers, the correct result of 6 was obtained.
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About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
Answers
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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On a piece of paper, draw a box plot to represent the data below. Then
determine which answer choice matches the box plot you drew.
22, 28, 29, 34, 36, 42, 44, 57, 58, 60, 61
Answers
Answer:
61
Step-by-step explanation:
thats right
In a study of 479,908 cell phone users, it was found that 213 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We therefore expect about 222 cases of such cancer in a group of 479,908 people. Estimate the probability of 213 or fewer cases of such cancer in a group of 479,908 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system?
Answers
Answer:
The probability of 213 or fewer cases of such cancer in a group of 479,908 people is 0.2776.
Step-by-step explanation:
We are given that assuming that cell phones have no effect, there is a 0.000462 probability of a person developing cancer of the brain or nervous system. We, therefore, expect about 222 cases of such cancer in a group of 479,908 people.
Let \(\hat p\) = sample probability of a person developing cancer of the brain or nervous system.
The z-score probability distribution for the sample proportion is given by;
Z = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, p = population probability of a person developing cancer of the brain or nervous system = 0.000462
n = sample of cell phone users = 479,908
Now, the probability of 213 or fewer cases of such cancer in a group of 479,908 people is given by = P(\(\hat p\) \(\leq\) \(\frac{213}{479,908}\) )
P(\(\hat p\) \(\leq\) 0.000444) = P(\(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\leq\) \(\frac{0.000444-0.000462}{\sqrt{\frac{0.000444(1-0.000444)}{479,908} } }\) ) = P(Z \(\leq\) -0.59)
= 1 - P(Z < 0.59) = 1 - 0.7224 = 0.2776
The above probability is calculated by looking at the value of x = 0.59 in the z table which has an area of 0.7224.
These results suggest about media reports that cell phones cause cancer of the brain or nervous system that there is around 28% chance that 213 or fewer cases of such cancer in a group of 479,908 people can take place.
Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answers
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
O A. g(x) = (7 - x)2
O B. g(x) = 1 - x2
O C. g(x) = 7 - x2
D. g(x) = (1 - x)2
Answers
Answer:
O B. g(x) = 1 - x^2
Step-by-step explanation:
Since the function in the graph is headed downwards, we know the portion of \(x^{2}\) is negative. And since the highest point of the red line on the y-axis is 1, we can conclude the function represented by the red line is 1 - x^2.
Hope this helped!
Answer:
Option B is correct .
Step-by-step explanation:
According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .
And ,the given function is ,
\(\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}\)
Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.
This implies that if we know the zeroes , we can frame the Equation.
On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.
\(\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}\)
Hence option B is correct .
Use 1/2ab sin C formula pls
Answers
Step-by-step explanation:
\(area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units\)
A triangle has a side with length 9 feet and another side with length 7 feet. The
angle between the sides measures 69°. Find the area of the triangle. Round your
answer to the nearest tenth
Answers
Answer:
63
Step-by-step explanation:
what is the value of x and what type of angle is it ?
Answers
Answer:
This is called a supplementary angle. x = 12°
And for extra credit:
y is a vertical angle to 60° and a supplementary angle to x so
y = 60°
Step-by-step explanation:
A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What’s is the volume of the storage compartment
Answers
Answer: jump off a cliff and shatter your bones
Step-by-step explanation:
A correlation compares that rate at which a characteristic or property appears in two different populations.
True
False
Answers
A statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True
We know that a correlation is nothing but a statistical process for establishing the relationships between two variables.
It indicates that as one variable changes in value, the other variable tends to change in a particular direction.
A correlation measures the extent to which two variables are linearly related.
It gives the strength of the linear relationship between two variables.
Therefore, the statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True.
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If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
Answers
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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Ana Maria had $28000 to invest. She divided the money into three different accounts
Answers
Answer:
If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334
Step-by-step explanation:
somebody please help I NEED HELP ASAP
Answers
Answer:
Package A: $8.7 per person
Package B: $7.7 per person
Package B is beest deal
Step-by-step explanation:
\(\text{The cost of package A}=\dfrac{104.40}{12}=\$8.7\text{per person}\\\text{The cost of package B}=\dfrac{184.80}{12}=\$7.7\text{per person}\)
The cost of package A is greater than cost of package B.
Hence, the cost B is a best Deal.
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest form. giving 100 points.
\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \pi \neq \geq \leq x_{123} \\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y}\)
Answers
The fraction is represented as A = 77/84 and the simplest from of the fraction is A = 11/12
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the equation will be
Let the numerator of the fraction be = p
The value of p = 77
Let the denominator of the fraction be = q
The value of q = 84
Substituting the values in the equation , we get
The fraction A = p/q
A = 77 / 84
On simplifying the equation , we get
A = 11 / 12
Hence , the fraction is A = 11/12
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i do not understand this please help me
Answers
Answer: Plane AEF
Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)
If a new TV costs $240.60, and you want to make equal payments every month for one year, how much will each payment cost?
Answers
Answer: $20.05
Step by step equation: 240.60 divided by 12
I am very sorry is this answer is incorrect.
1. Find the area of the composite figure below. Make sure you show your work neatly for full
credit.
(3.5)
18 in.
18 in.
9 in.
36 in.
18 in.
Answers
The calculated area of the composite figure is 85 cm².
How to calculate the the area of the composite figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure (see attachment)
Where, we have
Rectangle:
Area = length × width.
Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².
Triangle:
Area = (1/2) × base × height.
Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².
To find the total area of the composite figure, we add the areas of the rectangle and the triangle:
Total Area = Area of Rectangle + Area of Triangle
= 60 cm² + 25 cm²
= 85 cm².
Therefore, the area of the composite figure is 85 cm².
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HELP SRSLY I JEED TO GET THIS RIHT ILL MARK AS BRAINLYIST AND ILL GIVE 40 POINTS 14 yd-
12 yd
30 yd
2
The triangular prism above undergoes a dilation whose scale factor is
3
What is the volume of the image? Round your answer to the nearest tenths place.
Answers
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.
The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.
The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.
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Enter the number that belongs in the green box
Answers
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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Pls help I need help on this question
Answers
Answer: B
Step-by-step explanation: Hope this helps:)
When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?
Answers
A repeating decimal is acceptable to use during calculations when you require a certain level of precision
When is a repeating decimal acceptable to use during calculations?A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.
It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.
On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.
Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.
Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.
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