Two students have found the slope of a line on a graph. Jeffrey says the slope is 1/3.
Mary says the slope is 2/6. Did they find the slope of the same line. How do you know?
Answer:
They found the slope of the same line. This is because 2/6 is equal to 1/3.
A hair has a length of 15 cm and a diameter of 0,1 mm. What is its volume in m3
If the hair has length 15 cm and diameter 0.1mm then , the volume of hair in m³ is 11.78×10⁻¹⁰m³.
In the question
it is given that ,
length of hair = 15 cm = 0.15m
diameter of hair = 0.1 mm
radius of hair = 0.05 mm = 0.00005 m
we know that , the shape of hair is cylindrical form,
the volume of cylinder is given by the formula = πr²h
Substituting the values , we get
Volume = π*(0.00005)²*(0.15)
= 0.4712*(0.00005)²
= 4712*25×10⁻¹⁴
= 117800×10⁻¹⁴
= 1178×10⁻¹²
= 11.78×10⁻¹⁰
Therefore , if the hair has length 15 cm and diameter 0.1mm then , the volume of hair in m³ is 11.78×10⁻¹⁰m³.
The given question is incomplete , the complete question is
A hair has a length of 15 cm and a diameter of 0.1 mm. What is its volume in m³ ?
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where is the denominator top or bottom
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The denominator is the value written at the bottom of a fraction.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Numerator:
It is the value written at the top.
Denominator:
It is the value written at the bottom when we write a fraction.
Example:
Fraction:
1/2, 3/4, and 5/6.
1, 3, and 5 are the numerator.
2, 4, and 6 are the denominator.
Thus,
The denominator is the value written at the bottom of a fraction.
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In wilbur's math class, his grade is based on the average score of six tests, each worth 100 points. wilbur always worries about his grade. he knows that his average on the first four test is 88.5. what is the lowest average he could get on his next two tests and still average 90 overall.
The lowest average he could get on his subsequent two tests and still have an average of 90 overall in the six tests is 93.
What is an average?An average is a middle value that indicates the mean.
The average is computed by dividing the sum of the data set by the number of values in the data set.
The number of tests = 6
The points for each test = 100
The total points for the 6 tests = 600 (6 x 100)
The average for the first four tests was 88.5.
The total score for the first four tests equaled 354 (88.5 x 4).
For Wilbur to get an overall average of 90, he needs to score a total of 540 out of 600.
The remaining scores in the two tests should be = 186 (540 - 354).
The average of the two remaining tests should be = 93 (186/2).
Thus, Wilbur needs to score 93 on average for the remaining two math tests.
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the sum of the measure of the acute angle in a right triangle is always 90 degrees
The acute angles in a right triangle, are the other two angles that are not the 90° angle.
These two acute angles are complementary angles:
This means that when you add them you always get 90°.
Answer: true
These are the answers
The equivalent expression to 6y - 12 is given by:
3y + 3y - 12.
How to find the equivalent expression to 6y - 12?In this problem, we are given four expressions, which are the four options to the problem. The expression that is equivalent to 6y - 12 is the expression that after it is simplified, it has a result of 6y - 12.
To simplify the expressions, we combine the like terms, adding the constants and the terms with y.
Hence, the simplified expressions are given as follows:
6y + 6y - 12 = 12y - 12, which is not equivalent to 6y - 12.3y + 3y - 12 = 6y - 12, hence it is equivalent to 6y - 12.12y - 6 - 6 = 12y - 12, which is not equivalent to 6y - 12.6y + 2y - 12 = 8y - 12, which is not equivalent to 6y - 12.What is the missing information?The problems asks for which of these expressions is equivalent to 6y - 12.
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Use the vertex and a point on the parabola to write an equation in vertex form for the quadratic graph.
By using the vertex and the given point of the parabola, we conclude that the equation is:
y = -1*(x - 2)^2 + 2
How to find the equation of the parabola?
For a parabola with a leading coefficient a and a vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
In this case, we can see that the vertex is (2, 2), replacing that we get:
y = a*(x - 2)^2 + 2
We also can see that the parabola passes through (0, -2) replacing that in the above equation we get:
-2 = a*(0 - 2)^2 + 2
-2 = a*4 + 2
-2 - 2= a*4
-4 = a*4
-4/4 = a
-1 = a
Then the equation for the parabola is:
y = -1*(x - 2)^2 + 2
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if the repersentative went to 300 schools and convinced 125 to sell their product, what percentage decided to not sell their product? Round your answer to the nearest tenth, if necessary
The percentage who decided to not sell their products as required in the task content is; 58.33%.
What percent of the schools decided to not sell their product?It follows from the task content that the percentage of schools who decided to not sell their products be determined.
Since the number of schools given is; 300 schools and only 125 were convinced by the representative, it follows that;
The number of schools that didn't sell their product is simply; the difference between the total number of schools and the number of schools that sold their products ;
Hence, the number of schools that didn't sell their products is;
300 - 125 = 175.
Hence, when expressed as a percentage of the whole, we have;
= (175/300) × 100%
= 0.5833 × 100%
= 58.33%.
The required percentage of schools who decided to not sell their products is; 58.33%.
PS: A percentage, put simply refers to an ratio expressed as a fraction of 100. Conventionally, it is denoted by the sign; %.
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At a storage company, items are stored in containers that have a base of 3 1/2yds by 1 3/4yds. If
there is a 3 x 3 array of these containers with no space between them, what is the area covered
by the containers? ◄›
The dimension of the base is measured the Length, L be 3 1/2 yd and
Width, W be 1 3/4 yd. The area covered by the containers is 55.125 yd².
How to estimate the area covered by the containers?Given: Base dimension of container = 3 1/2yds by 1 3/4yds
Array: 3 × 3 containers without space
It'll be assumed that the container has a rectangular base.
The dimension of the base is measured out as follows:
Length, L = 3 1/2 yd
Width, W = 1 3/4 yd
To calculate the area of 1 container..
Area = 3 1/2 yd × 1 3/4 yd
Convert mixed numbers to improper fractions:
[tex]$3 \frac{1}{2}=\frac{7}{2}$[/tex]
[tex]$=\frac{7}{2} \cdot 1 \frac{3}{4}$$[/tex]
Convert b to improper fractions,
[tex]$=\frac{7}{2} \cdot \frac{7}{4}$$[/tex]
Apply the fraction rule,
[tex]$=\frac{7 \cdot 7}{2 \cdot 4}$$[/tex]
[tex]$=\frac{49}{2 \cdot 4}$$[/tex]
Multiply the numbers:
[tex]$=\frac{49}{8}$$[/tex]
Convert improper fractions to mixed numbers:
[tex]$\frac{49}{8}=6 \frac{1}{8}$[/tex]
Area = 6.125 yd²
Next, is to calculate the area of the 3 by 3 containers.
Given that the container formed a 3 by 3 array;
This means that there 3 × 3 containers
3 × 3 = 9 containers.
Area of the 9 containers = 9 × Area of 1 container.
Area = 9 × 6.125 yd²
Area = 55.125 yd²
Therefore, the area covered by the containers is 55.125 yd².
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Helpppppppppppppppppppp
Answer:
1) D) 16
2) B) 5
Step-by-step explanation:
1) 16 is a perfect square = 4*4
Factors of 16 = 2, 4, 8
2) Absolute value of a positive integer or a negative integer is always positive integer.
the null hypothesis is based on the idea that... group of answer choices there is no relationship between the variables there is a strong relationship between the variables there is a weak relationship between the variables none of these answers
The null hypothesis is based on the idea that there is no relationship between the variables.
What is null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable. The null hypothesis can be evaluated to determine whether or not there is a relationship between two measured phenomena, which makes it valuable. It can let the user know if the outcomes are the product of random chance or deliberate manipulation of a phenomenon.
The null hypothesis states that there is no relationship between two population parameters, i.e., an independent variable and a dependent variable. Therefore, the null hypothesis is based on the idea that there is no relationship between the variables.
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Solve for x.
1)
80°
12x - 4
Solve for x! Remember that alternate
interior angles are congruent (equal).
Answer:
x = 7
Step-by-step explanation:
It will be written as 80 = 12x - 4
80=12x−4
Step 1: Flip the equation.
12x−4=80
Step 2: Add 4 to both sides.
12x−4+4=80+4
12x=84
Step 3: Divide both sides by 12.
12x/12 = 84/12
x=7
Answer:
x = 7
Step-by-step explanation:
Two trains leave the city going opposite directions, one going north and the other going south. The northbound train is traveling 14 mph slower than the southbound train. After 3 hours the trains are 498 miles apart. Find the speed of each train
Let the speed of the southbound train be x mph. then the speed of the northbound train will be x - 14 mph.
Both trains are traveling in the opposite direction and going away from each other.
The distance traveled by southbound train in 3 hours will be 3x miles. The distance traveled by southbound train will be 3(x - 14) miles.
Therefore, the sum of distance covered by both the trains will be equal to 498 miles.
[tex]\begin{gathered} 3x+3(x-14)=498 \\ 3x+3x-42=498 \\ 6x-42=498 \\ 6x-42+42=498+42 \\ 6x=540 \\ x=90 \end{gathered}[/tex]Thus, the speed of the southbound train is 90 mph and the speed of the northbound train is 76 mph.
find the area of a circle
Answer:
452.16 ft²
Step-by-step explanation:
find radius
24 : 2 = 12 ft
find area (πr²)
π12² =
3.14 * 12² =
3.14 * 144 =
452.16 ft²
What is the correct answer to: The difference of a number s and 6, but the expression
The given statement can be translated into an algebraic expression as: s - 6.
What is an Algebraic Expression?Algebraic expression can be defined as a mathematical statement that expresses a given statement or word problem using numbers, variables, and operation signs.
How to Translate a Phrase or Statement into an Algebraic Expression?To translate a given statement into algebraic expression, the unknown number is usually represented by a letter or alphabet.
In the given statement, "the difference of a number s and 6", s is the unknown number. "Difference" means subtraction. Subtraction would then be represented by the operation sign, "-".
The statement would therefore be translated into an algebraic expression as: s - 6.
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0.79 divided by 0.6 correct to two decimal places??
Answer:
1.31
Step-by-step explanation:
The full answer is 1.316667.
Because you asked for 2 decimal spaces, the answer would be 1.31
Hop this helps!
Btw, could I get Brainliest if this is correct? Thanks!
This is a 30-60-90 triangle. What is the measure of x? 8
If this is a 30 - 60 - 90 triangle. The measure of x is 8.
How to determine the measure of angle x?We would be making use of the given data or parameter to determine the measure of x
Given data;
30 - 60 - 90 triangle
4√3
Hence,
Based on the given triangle the smaller angle is 30°. Now let take the cos of the angle:
cos (30°) = 4 V3/x
cos (30°) = V3/2
V3/2 = 4V3/x
1/2 = 4/x
Multiply all the terms by the same value so as to eliminate the fraction denominator
2x × 1/2 = 2x × 4/x
Cancel multiplied terms that are in the denominator
2x × 1/2 = 2x × 4/x
x = 2 × 4
x = 8
Therefore we can conclude that 8 is the measure of x.
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please help me i will give brainliest and 40 points please help with working please
Answer:
100 and 25 43, 45, 47 10Step-by-step explanation:
QUESTION 1
The sum means addition. The one-fourth means ( 1 / 4 ).
Define
let x;
let y = ( 1 / 4 )x;
x + y = 125;
Substitute and Isolate
x + ( 1 / 4 )x = 125;
( 5 / 4 )x = 125;
Divide Both Sides
( 1 / 4 )x = 25;
Multiply Both Sides
x = 100;
y = ( 1 / 4 )( 100 );
y = 25;
100 and 25
QUESTION 2
No need to write the odd number as 2n + 1 for this question. The next odd number is always spaced out by 2 because there is an even number in between them.
( x - 2 ) + x + ( x + 2 ) = 135;
x + x + x - 2 + 2 = 135;
3x = 135;
x = 45;
x - 2 = 43;
x + 2 = 47;
The 3 odd numbers are 43, 45, and 47.
QUESTION 3
The double means multiply by 2.
2x + 12 = 32;
Subtract 12 from both sides.
2x = 20;
Divide both sides by 2.
x = 10;
Easy there we go!
Add the expressions. the quantity negative 6 minus one half times p end quantity plus the quantity three fourths times p minus 9 end quantity 4 over 8 times p minus 3 2 over 6 times p plus negative 15 negative 2 over 4 times p plus negative 3 1 over 4 times p minus 15
The value of the expression is -39 - (13/6)p.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6 - [tex]1\frac{1}{2}[/tex] p + [tex]\frac{3}{4}[/tex] p - 9 + 4/8 x p - 3 + 2 / 6 x p + -15 - 2/4 x p + -3 + 1 / 4 x p - 15
We will combine all the like terms
6 - (3/2)p + (3/4)p - 9 + (1/2)p - 3 + (1/3)p - 15 - (1/2)p - 3 + (1/4)p - 15
6 - 9 - 3 - 15 - 3 - 15 - (3/2)p + (3/4)p + (1/2)p + (1/3)p - (1/2)p + (1/4)p
[ +(1/2)p and -(1/2)p gets canceled ]
-39 - (3/2)p + (3/4)p + (1/3)p + (1/4)p
[ (3/4)p + (1/4)p = p ]
-39 - (3/2)p + (1/3)p + p
-39 - [ (9p - 2p + 6p) / 6 ]
-39 - (13/6)p
Thus,
The value of the expression is -39 - (13/6)p.
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Answer:
b
Step-by-step explanation:
i did the quiz
Find the length of the third side. If
necessary, round to the nearest tenth.
Answer:
12
Step-by-step explanation:
16x16 = 256
20x20 = 400
400-256 = 144
square root 144 = 12
What’s the middle point of -24 and 36
Please help!
Charlee is using her calculator to find the product of two large numbers. Her calculator shows 1.78E12 on the display. Interpret what this means.
Answer:
i don't learn this because i learn in georgia 7 class
Answer:
I don't know what it means but I had seen something like that before!!25 Points!!Solve using augmented matrices. Show your work
x+y=1
3x-y=7
x = 2 and y = 1 is the solution to the system of equation {x + y = 1, 3x -y = 7 }.
How to solve a system of equation using augmented matrices?Given the data in the question;
x + y = 13x - y = 7x = ?y = ?To solve for the value of x and y, first write the in matrix form.
[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\end{array}\right][/tex]
Find the reduced row echelon form, Row operation R₂ = R₂ - 3R₁
[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&-4&4\end{array}\right][/tex]
Multiply each element of R₂ by -1/4
[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}* 0&-\frac{1}{4}* -4&-\frac{1}{4}*4\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\end{array}\right][/tex]
Perform the operation, R₁ = R₁ - R₂
[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\end{array}\right]\\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\end{array}\right][/tex]
Therefore, the matrix result is x = 2 and y = -1.
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s=n/2(a+p) solve for a
Answer:
a= -np+2s/n
Step-by-step explanation:
Solve for x and show your work.
1/2 (10x +8) - x = 16
I
[tex] \frac{1}{2} (2)(5 x+ 4) - x = 16 \\ 5x + 4 - x = 16 \\ 5x - x + 4 = 16 \\ 4x = 16 - 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3[/tex]
HOPE THIS HELPS
Please help me with this.
irrational numbers
Step-by-step explanation:
Because that are not rational numbers which cannot be represented as fraction
Can you write a word problem that is solved by completing 4 3/4 + 2 1/4 = ______
PLEASE HELP MEE
Word problems commonly include mathematical modelling questions, where data and information about a certain system is given and a student is required to develop a model.
We have been given that
4 3/4 + 2 1/4 = ?
Convert into word problem .
Bob has 4 apples in which 3/4 apples are good and also he has 2 bananas in which 1/ 4 bananas are good . Then find out how much of amout i good condition ?
Solution - 4 × 3/4 = 3
and 2 ×1/4 = 1/2
then total good = 3 + 1/2 = 3.5
If it is factor problem then
Solution -.
4 3/4 + 2 1/4 = ?
simlify the equation
= 19/4 + 9/4
= ( 19 + 9 ) / 4
= 28 / 4
= 7.
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Nina gets a $50 allowance each month (4 weeks). She spends $5 per week and saves the rest.
What percentage of her allowance doesshe save?
What will be the answer?
Using mathematical operations, we know that Nina saves 60% of his allowance which is $30.
What are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values.The complexity of the operation depends on how many operands there are.The four mathematical operations are functions that turn numerical inputs into numerical outputs (i.e., another number).These are multiplication, division, subtraction, and addition.So, the percentage of the amount Nina saves:
Nina gets $50 per month.She spends $5 per week which is:
5 × 4 = $20She saves:
$50 - $20 = $30Now, the percentage of savings:
30/50 × 1000.6 × 10060%Therefore, using mathematical operations, we know that Nina saves 60% of his allowance which is $30.
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I need to know what this question means and how do i get the answer
In this problem, we need to create an expression that after applying one of the properties of exponents to simplify it, we obtain the given answer.
The first answer we have is:
[tex]8^{2/9}[/tex]The second one is:
[tex]\frac{x^4}{y^2}[/tex]The third one is:
[tex]\frac{64z^6}{81}[/tex]a. The first property is the product of powers:
[tex]a^m\cdot a^n=a^{m\cdot n}[/tex]In the first answer, we have the exponent 2/9, and we can express it as:
[tex]\frac{2}{9}=\frac{1}{9}+\frac{1}{9}[/tex]Then, the expression can be:
[tex]8^{1/9}\cdot8^{1/9}\text{ which is equal to }8^{2/9}[/tex]For the second answer we can rewrite the expression as:
[tex]\frac{x^2\cdot x^2}{y\cdot y}\text{ and when we apply the product property we obtain}\frac{x^4}{y^2}[/tex]For the third answer, we have:
[tex]\frac{64z^2\cdot z^4}{81}\text{ which is equal to}\frac{64z^{2+4}}{81}=\frac{64z^6}{81}[/tex]b. Power of a power property:
[tex](a^m)^n=a^{m\times n}[/tex]First answer:
[tex](8^2)^{1/9}=8^{2\times1/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{(x^2)^2}{y^2}=\frac{x^{2\times2}}{y^2}=\frac{x^4}{y^2}^{}[/tex]Third answer:
[tex]\frac{64(z^3)^2}{81}=\frac{64z^{3\times2}}{81}=\frac{64z^6}{81}[/tex]c. Power of a product:
[tex]a^mb^m=\mleft(ab\mright)^m[/tex]First answer:
[tex]4^{2/9}\cdot2^{2/9}=(4\cdot2)^{2/9}=8^{2/9}[/tex]Second answer:
[tex](\frac{x^{}}{y})^2\cdot(x)^2=(\frac{x}{y}\cdot x)^2=(\frac{x\cdot x}{y})^2=(\frac{x^2^{}}{y})^2=\frac{x^4}{y^2}^{}[/tex]Third answer:
[tex](\frac{8}{9})^2\cdot(z^3)^2=(\frac{8}{9}\cdot z^3)^2=\frac{64z^6}{81}[/tex]d. Negative exponent:
[tex]a^{-m}=\frac{1}{a^m}[/tex]First answer:
We can express the exponent as:
[tex]\begin{gathered} 2\times9^{-1}=2\times\frac{1}{9}=\frac{2}{9} \\ \text{Then:} \\ \text{ 8\textasciicircum(2}\cdot9^{-1})=8^{2/9} \end{gathered}[/tex]Second answer:
[tex]x^4\times y^{-2}=x^4\times\frac{1}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]64z^6\times9^{-2}=64z^6\times\frac{1}{9^2}=64z^6\times\frac{1}{81}=\frac{64z^6}{81}[/tex]e. Zero exponent:
[tex]a^0=1,a\ne0[/tex]First answer:
[tex]x^08^{2/9}=1\times8^{2/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{2^0x^4}{y^2}=\frac{1\times x^4}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]\frac{64z^6x^0^{}}{81}=\frac{64z^6\times1}{81}=\frac{64z^6}{81}[/tex]f. Quotient of powers:
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]First answer:
[tex]\frac{8^{3/9}}{8^{1/9}}=8^{3/9-1/9}=8^{2/9}[/tex]Second answer:
[tex]\frac{x^6}{x^2y^2}=\frac{x^{6-2}}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex]\frac{64z^8}{81z^2}=\frac{64z^{8-2}}{81}=\frac{64z^6}{81}[/tex]g. Power of a quotient:
[tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]First answer:
[tex]\frac{16^{2/9}^{}}{2^{2/9}}=(\frac{16}{2})^{2/9}=8^{2/9}[/tex]Second answer:
[tex](\frac{x}{y})^2x^2=\frac{x^2}{y^2}\cdot x^2=\frac{x^2\cdot x^2}{y^2}=\frac{x^4}{y^2}[/tex]Third answer:
[tex](\frac{8}{9})^2z^6=\frac{8^2}{9^2}z^6=\frac{64z^6}{81}[/tex]the height of a cone is twice the radius of its base. what expression represents the volume of the cone, in cubic units? o 2/3πx^3 o 4/3πx^2 o 2πx^3 o 4πx^3
Answer:
V=2/3πx^3
Step-by-step explanation:
Volume of Cone: V=r^2πh/3
h=2r --> height is twice the radius
V=r^2π(2r)/3
V=r*r^2π(2)/3
V=2/3πr^3
V=2/3πx^3
