Option C is correct. Since the digit in the thousands place is 5 or greater than 5.
Given that in option C:
Since the digit in the thousandth place is greater than or equal to 5, increase the digit in the hundredth place by 1. Then drop the digit in the thousandth place.
Also, 213.709 is given in the question in which we have to round off these digits.
The digit which is just after the decimal is called tenths and just after that is hundredths and just after that is called thousandths.
Seeing the value in option C is correct as it tells the value of thousandths is greater than or equal to 5 is correct as 9 is in thousandths place and is greater than 5.
Increasing the value in the hundredth which is zero to one and dropping the digit in the thousandth place is correct as it makes the value 213.71.
All the other options don't satisfy the round of the value 213.709.
Hence, 213.71 can be rounded as per the statement written in option C.
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Ok, I found out how to find complementary angles. But now I learned out how find supplementary angles. I have homework that is due tomorrow and I forgot my notes from today, someone please help me find this angle asap!
Answer:
∴ x = 5
Step-by-step explanation:
(18x)° = 180° - 90° (adjacent angles on a straight line)
18x = 90
∴ x = 5
Michael leaves home and drives 17 miles west to work. After work, he travels 9 miles to a friend's
house. If the bearing from work to the friend's house is S 24° E, find the distance between the
friend's house and home.
The distance between friend's house and home is 14.263 miles.
What is distance?
The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.
What is tan?
the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Given,
The distance he covered to west (base) = 17 miles
angle = 24°
tan 24°= perpendicular/base
tan 24° = perpendicular/17
p = 0.836/17
=14.263 miles.
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-3√7r³-6√7r²
How do I solve this step by step?
The solution of the expression -3√7r³-6√7r² is -3√7r²(r+3)
Expression:
An expression also known as the algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given,
Here we have the expression -3√7r³-6√7r²
Now, we have to solve this expression step by step.
In order to solve this expression, we have to write the given expression as,
=> - 3√7r³- 6√7r²
Here the value √7 is common, so we have to take it as the common term and then rewrite the given expression as,
=> √7(-3r³-6r²)
Now, we have to take the number -3, as the common term then we get he expression like the following,
=> -3√7(r³+3r²)
Now we have to take the variable r² as the common term, then we get,
=> -3√7r²(r+3)
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In scientific notation, 170.04 is written as?
Answer: It would be 1.7 × 10^2.
Step-by-step explanation:
A vertical flagpole, AB,ha a height of 42m. The point B, C and D lie on level ground, and BCD i a traight line Point C i 24 m from the bae of the flagpole. The angle of elevation of the top of the flagpole from point D i 48 degree
Points C and D are 13.82 meters apart.
What is the point in math?
In mathematics, a point (.) is used to indicate an accurate place in space and serves as its representation. It lacks all three dimensions—length, width, and height. It is hence immeasurable. Uppercase letters are typically used to name points.Given : Flag AB, with point B , C ,D lying on ground.
BD = 24 m . AB = 42 m
To find; CD
In triangle ABD, with angle of elevation from D to top of flag pole is 48 degrees.
Tanθ = perpendicular/base
tan 48° = AB/BD
1.1106 = 42/BD
BD= 42/1.1106 = 37.82 m
From the figure:
BD = BC + CD
37.82 m = 24 m + CD
CD = 37.82 m - 24 m = 13.82 m
Points C and D are 13.82 meters apart.
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These are the answer choices though
Answer:
[tex]m= -2\frac{1}{13}[/tex]
Step-by-step explanation:
2m-27/3=5m
x3. x3
2m-27=15m
-2m. -2m
-27=13m
/13. /13
-27/13=m
-2 1/13=m
Hopes this helps please mark brainliest
Need to know if I am correct. Image is provided
Answer:
yes your answer is correct
6, what is the standard deviation of the residual values in the regression output. note that the residual values measure the difference between the observed values of the travel time in hours and the predicted values of the travel time in hours from the regression model.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
In the given question we have to explain the standard deviation of the residual values in the regression output.
Regression analysis is a statistical technique used to demonstrate the relationship between two different variables and to assess how well one variable can be predicted based on the behaviour of another.
The standard deviation of points surrounding a fitted line or the standard error of estimate are other names for residual standard deviation.
The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.
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what is the slope of the line passing through points (3,-1) and (-2,-5)
Answer:
the slope is 1
Step-by-step explanation:
x1,y1=(3,-1)
x2,y2=(-3,-5)
[tex]m = y2 - y1 \div x2 - x1[/tex]
-5--1/-3-3
-6/-6
m=-6/-6
simplify the fraction -1/-1
since 2 negatives = positive
m=1/1
simplify
m=1
Given the coordinates below, determine if ΔFGH and ΔJKL are congruent. If they are, give the reason, if they aren't choose "not congruent".
F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)
*enter your lengths to the NEAREST TENTH
FG =
GH =
FH =
JK =
KL =
JL =
Answer:
FG≅LJ
GH≅JK
HF≅KL
Step-by-step explanation:
The school needs to purchase a new refrigerator for student rewards. Lowes is
having a 15% off. If the original price is $700, what is the discount amount?
Answer:
1) The new price would be $595
2 )The discount is $105 off
Step-by-step explanation:
1) 700 x 0.85 = 595
2) 700 x 0.15 = 105
Would you also help me find the answer for this one pls
a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Now,
Since, The average distance of Mercury from the sun = 57.9 million kilometers
And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.
Let the average distance of Venus from the sun = x
So, We can formulate;
⇒ 57.9 = 3.8 + x/2
Solve for x as;
⇒ 57.9 = 3.8 + x/2
⇒ 57.9 - 3.8 = x/2
⇒ x/2 = 54.1
⇒ x = 54.1 × 2
⇒ x = 108.2
Thus, The average distance of Venus from the sun = 108.2 million kilometers.
Therefore, a) The variable x is the average distance of Venus from the sun.
b) The equation for the given condition,
⇒ ⇒ 57.9 = 3.8 + x/2
c) The average distance of Venus from the sun = 108.2 million kilometers.
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a summary measure that is computed to describe a characteristic of an entire population is called... group of answer choices a census. the scientific method. a parameter. a statistic.
A summary measure that is computed to describe a characteristic of an entire population is called a parameter.
Descriptive statistics are those approaches that collect, present, and characterize a set of data in order to accurately describe the different properties of that set of data. A population characteristic can be estimated or a population decision can be made based solely on sample results, according to the definition of inferential statistics.
The totality of the items or things being considered constitutes a population.
The portion of the population that has been chosen for analysis is known as a sample.
A parameter is a summary measure that is computed to describe a characteristic of an entire population.
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What is the range of this relation?
Answer:
{-4, -3, 2, 4}
Step-by-step explanation:
range are he y values so, find the y values of the points on the graph
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an article in the new york times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children. these observations suggest that
The given observations suggest that the increase in population is directly proportional to the number of children born and the number of surviving children.
According to the question,
We have the following information:
An article in the New York times noted that the human population has shown a significant increase in height. when the relationship of height to reproductive success in humans was examined across three decades (1935-1967), height had a positive correlation to the number of children born and the number of surviving children.
It means if the number of children born and the number of surviving children is more then the population will also increase.
In other words, it can be said population is directly proportional.
Hence, the given observations suggest that the increase in the population is directly proportional to the number of children born and the number of surviving children.
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What are all the rational roots of the polynomial f/x 20x4 x3 8x2 x 12?.
The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.
All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20
Factors of -12= -/+(1,2,3,4,6,12)
Factors of 20= -/+(1,2,4,5,10,20)
So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)
Solving for x when f(x) = 0,
20x4 + x3 + 8x2 + x - 12 = 0
(4x - 3)(5x + 4)(x2 + 1) = 0
Equating all factors to zero, we get
4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0
x = 3/4, x = -4/5, x = i, x = -i
Hence, the rational roots are x = 3/4, x = -4/5.
The given question is incomplete, the complete question is
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?
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logan is constructing a scaled model of his town. the city's water tower stands 40 meters high, and the top portion is a sphere that holds 100 , 000 liters of water. logan's miniature water tower holds 0.1 liters. how tall, in meters, should logan make his tower?
Answer:
0.4 m = 40 cm
Step-by-step explanation:
You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.
Scale factorThe scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.
This lets us write a proportion for the height of the model tower:
[tex]\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}[/tex]
Logan should make his tower 0.4 meters, or 40 cm high.
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The cart Sam uses to move the bags can only carry up to 480 pounds.
Answer:The answer would be the A
Step-by-step explanation:
Answer:
40x + 20y < 480
Step-by-step explanation:
the inequality: 40x + 20y <(with a line under the < sign)480
Given m || n.
What theorem or postulate justifies this statement?
/1 = /5
A.linear pair postulate
B.vertical angles theorem
C.alternate interior angles theorem
D. alternate exterior angles theorem
E.corresponding angles postulate
Answer:
E
Step-by-step explanation:
they are equal to each other
What is Bodmas fraction?.
Answer: Simplification of Fractions.
Step-by-step explanation:
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year. Which equation can be used to find the number of years, y, it will take for the population to reach 1,458 elk?
According to the equation it takes 6 years for the population to reach 1,458 elk.
Equation:
An equation is made up of two expressions connected by an equal sign. For example, 2x – 5 = 16 is an equation.
Given,
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year.
Here we need to find the equation that will shows the number of years, y, it will take for the population to reach 1,458 elk.
Let us consider n be the number of years take for the population to reach 1,458 elk.
So, according to the given question, we have written as,
f(n) = 2 x 3ⁿ
Here we know that the value of f(n) = 1458, then the equation is written as,
1458 = 2 x 3ⁿ
When we simplify this, then we get,
3ⁿ = 729
We know that, 729 = 3⁶,
Therefore, it can be written as,
3ⁿ = 3⁶
Therefore, it take 6 years for the population to reach 1,458 elk.
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Read the sentence.
My watch is cheap because it broke after only a few days.
What is the connotation of the word “cheap” in the sentence?
easy to use
on sale
affordable
of poor quality
Answer:
of poor quality
Step-by-step explanation:
it broke after a few days
the symbol used to represent the nonnegative square root of a number
https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.
Every positive real number has two square roots, positive and negative.
For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.
Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.
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Which one of the following equations represents a circle with its centre at the Origen
Following equation represents a circle with its Centre at the origin is ,
[tex]x^2 +y^2=25[/tex].
What is circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
What does origin mean math?
The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0).
What is equation?
An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is Pythagoras theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2=c^2[/tex], are equal to the squares on the legs.
If we take any point P(x, y) on the circle, then OP = 5 is the radius of the circle.
But OP is also the hypotenuse of the right-angled triangle OPN, formed when we drop a perpendicular from P to the x-axis.
Now in the right-angled triangle, ON = x and NP = y. Thus, using the theorem of Pythagoras,
[tex]x^2 + y^2 = 5^2 = 25[/tex].
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PLEASE NEED HELP ASAP
Answer:
-1
Step-by-step explanation:
The number never changes when you divide by 1. So -1/1=-1.
-Hope this helped
A triangle has sides with lengths of 39 mm 56 mm and 37 mm is it a right triangle
No it is not a right angled triangle.
What is a right angled triangle?A right triangle is a triangle with a 90° angle as its only angle. There CANNOT be two 90° angles in a right triangle. This is so that a triangle's angles can sum up to 180°. The right triangle's other two angles must sum up to 90 degrees given that one angle is 90 degrees.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with PQR as the right angle.acc to our question-
a= 39b=56c=37Hence, no sides are equal to 90 degrees.
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The sum of the 1st 2 terms of an exponential sequence is 135 and the sum of the 3rd and 4th terms is 60. Given that the common ratio is positive, calculate:
a. The common ratio and the 1st term
b. The least number of terms for which the sum exceeds 240.
The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The amount of the first 2 terms of a remarkable grouping is 135 and the amount of the third and fourth terms is 60. Then the equations are given below.
a + ar = 136 ...1
ar² + ar³ = 60
r²(a + ar) = 60 ...2
From equations 1 and 2, then we have
r² x 135 = 60
r² = 60/135
r² = 4/9
r = 2/3
Then the value of 'a' is given as,
a + (2/3)a = 135
a = 81
Then the least number of terms for which the sum exceeds 240 will be given as,
Sₙ > [a₁ (1 - rⁿ)] / (1 - r)
240 > [81(1 - 0.66ⁿ)] / (1 - 0.66)
240 > 243(1 - 0.66ⁿ)
0.9876 > 1 - 0.66ⁿ
0.66ⁿ > 1 - 0.9876
n log 0.66 > log 0.012345
n > 10.57
n = 11
The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.
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if two cards are drawn from a standard 52 deck of cards without replacement, what is the probability of getting a king on the second card, if the first card was a 10?
0.6% is the probability of getting a king .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability.A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Probability of K from full 52 card pack = 4/52 = 1/13
Probability of A from the remaining 51 cards = 4/51
“And" in probability means you Multiply.
1/13 x 4/51 = 4/663 = 0.6%
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Regina wants to harvest the wheat in a 20-acre field in two days. If on the first day Regina harvests 8 acres, what percent of the field must she complete the second day?
If I have a book that is 298 pages, and I read 20 pages a day, how long will it take me to read the entire book?
Also what is the formula to solve this problem problem!!
Answer:
Step-by-step explanation:
Given:
N₀ = 298 pages
N = 20 pages
You can apply the formula:
Number of days
D = [N₀ / N] + 1 = [298 / 20 ] + 1 =
= [14.9] + 1 = 14 + 1 = 15 day,
where the square brackets are the integer part of the number
If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.
Total pages in the book= 298
Total pages that I daily read= 20
Then it will take 15 days to read the entire book.
The formula for this problem:
The solution to this type of problem can be figured out with the help of unitary method.
20 pages of a book can be read in = 1 day
1 page of a book can be read in = 1/20 days
298 pages of a book can be read in = 1/20×298 days = 14.9 days
But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.
15 days it will take to read the entire book.
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