Answer:
The answer is 434.9 cm³.
Step-by-step explanation:
Given that the formula is 4/3×π×r³ so you have to substitute the value of r into the formula :
\(v = \frac{4}{3} \pi {r}^{3} \)
\(let \: r = 4.7\)
\(v = \frac{4}{3} \times \pi \times {4.7}^{3} \)
\(v = 434.9 \: {cm}^{3} \: (1d.p)\)
Step-by-step explanation:
According to the information given and the formula
(4/3)×(3/14)×(4.7×4.7×4.7)=434.67
I NEED HELP QUICK QUICK HELP (If you answer just for the point i will report you)
Answer:
1.Neither
2.Discrete
3.Discrete
4. Continuous
Step-by-step explanation:
Discrete Data can only take certain values. The number of students in a class
We can't have half a student!
1. The graph in option 1 is Neither.
2. The graph in option 2 is discrete.
3. The graph in option 3 is discrete.
4. The graph in option 4 is continuous.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In discrete mathematics, and more specifically in graph theory.
A graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.
1. The graph in option 1 is Neither. It is not discrete and continuous.
2. The graph in option 2 is discrete. The values of the data are not in a specific pattern.
3. The graph in option 3 is discrete. The values of the data are not in a specific pattern.
4. The graph in option 4 is continuous. The points in the graph are varying continuously.
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Brainliest, 100 points, and multiple choice!!
------------------------------------------------------------------------
Which single transformation is shown in the picture?
Hint: Label the pre-image and image with corresponding points. Pay particular attention to the orientation of the points.
Answer:
clarify
Step-by-step explanation:
Try another
Determine the slope of the following graph
help
Answer:
y=1/2x+3
Step-by-step explanation:
Rise/run+yintercept
(7 points, A -REL.2.4) A packing company is doing an inventory of boxes. Their most popular box is displayed below. Use the formula for volume of a box, V = lwh. If the volume is 40f * t ^ 3 , find the value of x. Then find the length and width of the box. State any extraneous solutions.
Answer:
The extraneous solution is x = -5/6
Length = 4 ft
Width = 5 ft
Step-by-step explanation:
Length = 3x - 5 ft
Width = 2x - 1 ft
Height = 2 ft
Volume = 40 ft^3
Volume = length × width × height
40 = (3x - 5)(2x-1)(2)
40 = (6x^2 - 3x - 10x + 5)(2)
40 = 12x^2 - 6x - 20x + 10
12x^2 - 26x + 10 - 40 = 0
12x^2 - 26x - 30 = 0
Divide through by 2
6x^2 - 13x - 15 = 0
Solve using factorization method
(6x + 5) (x - 3) = 0
6x + 5 = 0
6x = -5
x = -5/6
Or
x - 3 = 0
x = 3
The extraneous solution is x = -5/6
Length = 3x - 5 ft
= 3(3) - 5
= 9 - 5
= 4 ft
Width = 2x - 1 ft
= 2(3) - 1
= 6 - 1
= 5 ft
(4 x 10^-6)(2 x 10^3)+1000 show me the correct steps to solve the equation
Answer:
I have stated the answer above hope it helps
The first three terms of a geometric sequence are as follows.
-2,10 ,-50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
Can you rephrase the question so I can get a better explanation of what you're trying to ax me
express each statement in logic using the variables: p: it is windy. q: it is cold. r: it is raining. (a) it is windy and cold. (b) it is windy but not cold. (c) it is not true that it is windy or cold. (d) it is raining and it is windy or cold. (e) it is raining and windy or it is cold. (f) it is raining and windy but it is not cold.
The given statements can be expressed as
a) \($p \land q$\).
b) \($p \land\neg q$\)
c) \($\neg(p \lor q)$\)
d) \($p \land (q \lor r)$\)
e) \($r \land (p \lor q)$\)
f) \($r \land (p \land \neg q)$\)
What is a logical expression?
A statement that can be true or false is referred to as a logical expression Depending on the values of p and q, it can be true or false. This is distinct from a mathematical expression, which represents a true statement.
The given statements are
p: it is windy.
q: it is cold.
r: it is raining.
Now
a) it is windy and cold
This statement can be expressed as - \($p \land q$\).
(b) it is windy but not cold.
This statement can be expressed as - \($p \land\neg q$\)
(c) it is not true that it is windy or cold. - \($\neg(p \lor q)$\)
(d) it is raining and it is windy or cold. - \($p \land (q \lor r)$\)
(e) it is raining and windy or it is cold. \($r \land (p \lor q)$\)
(f) it is raining and windy but it is not cold. \($r \land (p \land \neg q)$\)
Hence, the given statements can be expressed as
a) \($p \land q$\).
b) \($p \land\neg q$\)
c) \($\neg(p \lor q)$\)
d) \($p \land (q \lor r)$\)
e) \($r \land (p \lor q)$\)
f) \($r \land (p \land \neg q)$\)
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translate 5 units left and 2 units down Q(1, 2) R(4,3) S(3, 1)
Answer:
Q1(-4,0) R1(-1,1) S1(-2,-1)
What is an expression for five less than y
Answer:
y - 5
Step-by-step explanation:
Answer:
y - 5
Step-by-step explanation:
To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.
Therefore, the expression is y - 5.
Michael needs to memorize words for class. he has memorized 20 which is 4/5 of them. how many does he have left to memorize?
He have left to memorize = 16 words.
What is percentage?a percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. percentage.
Percentage derives from the Latin word per centum, which means "by the hundred." The Latin expression was adopted by English in the sixteenth century. In the future, it was shortened to % with a final period. The two sections were eventually combined, the period was omitted, and the result was the contemporary one-word form %.
According to the given information:20 words should be committed to memory.
Has completed 4/5 of the portion.
The number of words he has memorized =
= 20 * 4/5,
which equals 16.
Thus,
The total number of words Ivan has memorized up to this point is sixteen (16), as he has only learnt four of the total (five-fifths), or five sections of four words each. 16 (sixteen) is the answer, therefore.
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what are all the fractions that fit between 1/2 and 1
There are infinitely more possibilities, but the midpoint between 1/2 and 1 is 3/4.
what is fraction?
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
For any two numbers a and b, the average 1/2(a + b) is lies between them.
Here, the given two numbers are 1/2 and 1.
So, to find the fraction between 1/2 and 1 we can form the average:
1/2(1/2 + 1) = 1/2(3/2) = 3/4
Hence, the fraction that fit between 1/2 and 1 is 3/4.
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The school band Director determined from past experiences that if they change T dollars for a ticket to the concert they can expect attendance of 1000 - 50t. The Director used this model to figure out that the ticket price needs to be eight dollars or greater in order for at least 600 to attend. Do you agree with this claim why or why not
Therefore, I do not agree with the claim that the ticket price needs to be eight dollars or greater for at least 600 to attend.
What is inequality?In mathematics, an inequality is a statement that compares two quantities, expressing that one is greater than, less than, or equal to the other. Inequalities are represented using inequality symbols, such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), and "!=" (not equal to). Inequalities are used in many areas of mathematics, including algebra, geometry, calculus, and statistics, and they are used to express relationships between values or sets of values. For example, an inequality might be used to describe the range of possible values for a variable, or to compare two different measurements or data sets. Inequalities are also used in many real-world applications, such as in economics, physics, and engineering, to describe constraints or limits on a system or process.
Here,
Based on the given information, the attendance A can be modeled as:
A = 1000 - 50T
To find the minimum ticket price T for at least 600 attendance, we can set A ≥ 600 and solve for T:
1000 - 50T ≥ 600
-50T ≥ -400
T ≤ 8
This means that the ticket price needs to be 8 dollars or less to ensure an attendance of at least 600.
The correct statement should be that the ticket price needs to be less than or equal to eight dollars for at least 600 to attend.
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in this experiment, the mean of the differences in words counts is -6.96 and the standard deviation is 3.88. what is the standard error in the distribution of sample means? round to two decimal places.
The standard error in the distribution of sample means, assuming a sample size of 30, is approximately 0.71.
What is the standard error in the distribution of sample means if the mean of the differences in word counts is -6.96 and the standard deviation is 3.88, assuming a sample size of 30?To calculate the standard error in the distribution of sample means, you need the standard deviation of the population and the sample size. The standard error represents the average deviation of sample means from the population mean.
Given that the mean of the differences in word counts is -6.96 and the standard deviation is 3.88, these values pertain to the population of differences in word counts.
To calculate the standard error, you also need to know the sample size. Let's assume the sample size is denoted by "n."
The formula to calculate the standard error is:
Standard Error = Standard Deviation / √(Sample Size)
In this case, the standard deviation is 3.88, and the sample size is denoted by "n." Since the sample size is not given, I'll assume a sample size of 30 for illustration purposes.
Standard Error = 3.88 / √(30)
Calculating this expression:
Standard Error ≈ 0.707
Rounding to two decimal places, the standard error in the distribution of sample means is approximately 0.71.
Please note that the calculation of the standard error requires the sample size, which is missing in your question. The value of the standard error may vary depending on the actual sample size used.
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Change 0.2 into a fraction in its lowest terms with working
Answer:
1/5
Step-by-step explanation:
0.2
=2/10
=1/5
Answer:
1/5
Step-by-step explanation:
2/10 ÷ 2/2 = 1/5 and 0.2 equals 2/10 or 1/5
1. which is the product of these numbers, to the appropriate number of significant digits? 56.2 × 9.2057 = a. 517 b. 517.4 c. 517.36 d. 517.00
The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.
The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.
In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.
Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.
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26 = -12u - 9 + 7u solve for u and simplify as much as possible
Answer:
u = -7
Step-by-step explanation:
26 = -12u - 9 + 7u
combine u terms on right side:
26 = -5u - 9
add 9 to both sides:
26 + 9 = -5u - 9 + 9
35 = -5u
divide both sides by -5:
35/-5 = -5u/-5
u = -7
Give an example of a pair of series an and bn with positive terms where limn rightarrow infinity (an/bn) = 0 and bn diverges, but an converges. (Note this demostrates the contrapositive of the limit comparison test: "If one of an and bn converges and the other diverges, then limn rightarrow infinity (an/bn) = 0 or infinity or DNE. ")
Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.
Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n
Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))
To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)
As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0
Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.
Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.
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what is the solution √3x +3 - 1 = x
Answer:
Choice A
Step-by-step explanation:
√(3x +3) - 1 = x
Taking square on both sides:
\(( \sqrt{3x + 2} ) {}^{2} = (x + 1) {}^{2} \)\(3x + 3 = x { }^{2} + 2x + 1\)Subtracting x²+2x + 1 from both sides:
\(3x+3−(x {}^{2} +2x+1)=x {}^{2} +2x+1−(x {}^{2} +2x+1)\)\(3x + 3 - x {}^{2} - 2x - 1 = 0\)\(3x - 2x + 3 - 1 - x {}^{2} = 0\)\(x + 2 - x {}^{2} = 0\)Rewrite as,
\(-x² + x + 2= 0\)Factoring LHS of the equation:[Middle term factor]
\(( - x - 1)(x - 2) = 0\)Now,
\(( - x - 1) = 0 \: \: \: \: \: ...(1)\)\(x - 2 = 0 \: \: \: \: \: ...(2)\)Equation 1:
\( - x - 1 = 0\)\( - x = 0 + 1\)\( - x = 1\)\(x = \boxed{ - 1}\)Equation 2:
\(x - 2 = 0\)\(x = 0 + 2\)\(x = \boxed{2}\)Choice A is accurate.
-1 & 2Find the coordinates of the turning point on the curve with equation y=9 18x-3x^2
The coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).
Any equation of the form \(axx^{2} + bx + c = 0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
It is given that:
The quadratic equation is:
y = 9 + 18x - 3x²
To find the turning point:
Graph the above quadratic equation;
From the graph:
The maximum point from where the graph starts to decrease is (3,36)
Thus, the coordinates of the turning point on the curve with the equation y = 9 + 18x - 3x² is (3,36).
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Wich of these equations represents a line parallel to the graph of the equation ?y= -1/3x - 5
For two linear equations to be parallel on the coordinate grid, they both must have the same slope.
As shown in the options given, only option 1 has the same slope as the one in the question. The slope is the coefficient of x, and in this case, the slope is -1/3.
Please note also that the equation in option 1 is the same as the equation given as a question.
claudia has $\frac{16}{3}$ gallons of paint, $\frac{3}{5}$ gallons of which is red. what fraction of claudia's paint is red?
The fraction 9/80 cannot be simplified further, so that is the final answer.
Claudia has a total of 16/3 gallons of paint, and 3/5 gallons of that amount is red. To determine the fraction of Claudia's paint that is red, we need to express the amount of red paint as a fraction of the total amount of paint.
Let's denote the fraction of red paint as r and the total amount of paint as p.
We know that the amount of red paint is 3/5 gallons, which can be expressed as r = 3/5.
The total amount of paint is 16/3 gallons, which can be expressed as p = 16/3.
To find the fraction of Claudia's paint that is red, we divide the amount of red paint by the total amount of paint:
Fraction of red paint = r/p = (3/5) / (16/3).
To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction:
Fraction of red paint = (3/5) * (3/16) = 9/80.
Therefore, the fraction of Claudia's paint that is red is 9/80.
It's important to note that fractions should be simplified if possible. In this case, the fraction 9/80 cannot be simplified further, so that is the final answer.
In conclusion, the fraction of Claudia's paint that is red is 9/80.
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Identify the rules used to find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11. a. the principle of inclusion-exclusion for sets b. the division rule c. the product rule d. the sum rule
Thus, there are 208 positive integers less than 1000 that are divisible by exactly one of 7 and 11. The rules used to find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11 are:
a. The principle of inclusion-exclusion for sets: This rule is used to count the number of integers that are divisible by both 7 and 11, and subtract them from the total number of integers that are divisible by either 7 or 11. This gives us the number of integers that are divisible by exactly one of 7 and 11.
b. The division rule: This rule is used to find the number of integers that are divisible by a certain number within a given range. For example, we can use the division rule to find the number of integers less than 1000 that are divisible by 7.
c. The product rule: This rule is used to find the number of ways two or more events can occur together. In this case, we can use the product rule to find the number of integers that are divisible by both 7 and 11.
d. The sum rule: This rule is used to find the total number of ways two or more events can occur separately. In this case, we can use the sum rule to find the total number of integers that are divisible by either 7 or 11.
By using these rules, we can find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11.
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How do I solve it ? I don’t understand
Answer:
1) 3 Points Include: E, B and F. To explain in Detail. Point E, which is (-1,1) Point B, which is (0,-2) and Point F, which is (2,3) The Directions tell you to name 3 Points on the image. The points I just explained are all on the graph, so they are all points in the Image.
Two Lines are: Lines CD and Lines AB. These are both lines on the images. The points A and B are connected with a line, so they are a line on the graph. The Points C and D are also connected by a line, therefore, both lines CD and AB are lines on the image.
A Line Segment: A line segment is a line connected with two end points, You can say a line is a segment when both ends of the line have a dot, also known as a point. One line segment in this image is Line EB, both the points are connected by a line, and both sides of the line have a point.
The Plane: The plane is the entire surface that everything is on. The plane has all the lines, segments, and points. All planes extend infinitely far. We can see, the plane is "O". The letter O is located towards the middle of the graph, Therefore, the Plane is "O"
2)One Point: On the Plane, one point is point S. Q and R are also points, but the question only asks for one point.
The Line: There is only one line on the plane, this line is line QR. Both points Q and R are connected by a line.
The Plane: The Plane is "T" in the bottom left of the image, in the corner of the plane (the plane is the blue area) you can see the letter T. "T" is the plane.
Does the line go through the Plane? Yes. The line does go through the plane. Here's why: On the line QR, both sides of the line have arrows. If a line has arrows that means the line goes on forever in the direction the arrow is pointing. If a line has two dots, its a segment, which means the lines end at the points, they do not go on forever. In this case, the line goes on forever and it goes through the blue area, which is the plane.
What is the trigonometric ratio for sin C?
Enter your answer, as a simplified fraction,
In the boxes.
==========================================================
Explanation:
We have a triangle with these three sides.
a = 80b = unknownc = 82Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
960 square feet of carpet in 2hours is it equivalent or not?
Answer:
City Carpet and Flooring advertises that they can install 1,200 square feet
of carpet in 2 hours. Select whether each installation rate has the same
unit rate, in square feet per hour, as City Carpet and Flooring. 7.RP.1,7.NS.3
Yes No
0
0
0
0
960 square feet of carpet in 2 hours
1,000 square feet of carpet in 12 hours
320 square feet of carpet in hour
Step-by-step explanation:
What is the simplified form of the expression?
Answer:
7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.
I hope I helped you
An amount of $35,000 is borrowed for 11 years at 7.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
The amount paid back when the loan is paid in full at the end of that period will be $77,546.3.
Given that:
Principal, P = $35,000
Rate, r = 7.5% or 0.075
Time, n = 11 years
The amount (A) is calculated as,
A = P(1 + r)ⁿ
If the loan is paid in full at the end of that period, then the amount paid back is calculated as,
A = $35,000 x (1 + 0.075)¹¹
A = $35,000 x (1.075)¹¹
A = $35,000 x 2.2156
A = $77,546.3
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Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O p q
O p^q
Op q
O q→p
Answer:
answer is A
Step-by-step explanation:
p: shape is a triangle
q: a shape has four sides
The statement that has to be true is p v q.
What is logic?Logic is a means of expression which involves the use of symbols to represent statements.
Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.
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I need more help with my algebra
Answer:
- 29
Step-by-step explanation:
\(f(x) = - 5x + 1 \\ \\ f(6) = - 5(6) + 1 \\ \\ f(6) = - 30+ 1 \\ \\ f(6) = - 29\)
One car rental company charges $35 for the rental, plus $2 per mile driven. A second rental car company charges $20 for the rental, plus $5 per mile driven. At how many miles will the two companies cost the same?
Answer:
b
Step-by-step explanation:
For 5 miles will the two companies cost the same.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
One car rental company charges $35 for the rental, plus $2 per mile driven.
A second rental car company charges $20 for the rental, plus $5 per mile driven.
Now,
Let distance for the two companies cost the same is x miles.
Then, for first condition we can formulate;
Total cost for x miles = $35 + $2x
And, For the second condition;
Total cost for x miles = $20 + $5x
So, For distance of the two companies which has cost the same;
$35 + $2x = $20 + $5x
$35 - $20 = $5x - $2x
$15 = $3x
x = 5
Thus, For 5 miles will the two companies cost the same.
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