Answer:
length of the sheet of paper is 11 in.
Step-by-step explanation:
Let "a" = short end of paper and let "b" = long end of paper.
Let "p" = perimeter
1st equation: p = 39"
2nd equation: 2a + 2b = p plug in "39" for diameter; result:
2nd equation: 2a + 2b = 39
3rd equation: b = 2a - 6
replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:
2a + 2(2a - 6) = 39 simplified to:
2a + 4a - 12 = 39 simplified to:
6a - 12 = 39 simplified to:
6a = 51 simplified to:
a = 51/6 = 8.5
so, a = short end of paper = 8.5 inches
In 3rd equation (b = 2a - 6), substitute "a" with "8.5"
3rd equation becomes: b = 2(8.5) - 6 simplified to:
b = 17 - 6 = 11
so, b = long end of paper = 11 inches
answer to question is: dimensions of paper are ---
8.5 inches wide by 11 inches long
Answer:
The answer is 11
Step-by-step explanation:
So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.
En el experimento de la clase de Física, se pone a calentar agua durante 3 minutos y se registra la temperatura. Posteriormente, aumenta la masa del agua, se pone a calentar durante 3 minutos en las mismas condiciones, se observa que la temperatura disminuye. ¿Qué relación existe entre la masa de agua y la temperatura?.
La masa del sistema es inversamente proporcional a la temperatura del mismo. Existe una relación de proporcionalidad inversa.
¿Cuál es la relación entre la temperatura y la masa de un sistema?
En este problema tenemos dos casos de calentamiento sensible en dos muestras de agua, cuya fórmula se describe a continuación:
Q' · Δt = m · c · ΔT
Donde:
Q' - Tasa de transferencia de calor.Δt - Tiempo de calentamiento, en minutos. m - Masa del sistema.c - Calor específico del agua.ΔT - Cambio en la temperatura del sistema.A partir de esta fórmula comprobamos que la masa del sistema es inversamente proporcional al cambio de la temperatura del sistema:
m ∝ 1 / ΔT
En consecuencia, a mayor masa, menor cambio en la temperatura.
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How can I learn algebra fast?
If you're not motivated, it would take you approximately nine months; however, if you are and can dedicate an hour or two every day to studying, it would only take you about six months.
How quickly can I learn algebra?6 Unknown Methods for Quickly Mastering Algebra
Create your own memory-boosting techniques.One advantage of algebra .math in general, is that the rules never change.Learn shortcuts. familiarise yourself with the calculator. join a study group.get a tutor and encourage your child to ask their teacher for assistance.You may probably self-study Math rather simply as if you were in college with all the free materials available online, including lectures, syllabi, ebooks, and MOOCS. You can go at your own pace, which is the finest part. It's common for algebra to be challenging because we mistakenly think we're learning new material when, in reality, we're just applying language to specific concepts that we already know to be true.
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Brain Bogglers II
Solve this puzzle by finding the correct values for A and B. The
pictures are important.
A-B= 1 and
2A + 20 =B
What is the nature of roots of the quadratic equation 2x² √ 5x 1 0?
The roots of the quadratic equation 2x² √5x + 1 = 0 are two complex numbers.
To solve for the roots of the quadratic equation 2x² √5x + 1 = 0, we must first use the Quadratic Formula to solve for x. The Quadratic Formula is x = (-b ± √b²-4ac)/2a. In this equation, a = 2, b = √5, and c = 1. We then simplify the equation to be x = (-√5 ± √(5²-4(2)(1))/2(2). This simplifies to x = (-√5 ± √9i)/4. The two solutions to this equation are x = (-√5 + 3i)/4 and x = (-√5 - 3i)/4. Since both solutions involve complex numbers, the roots of 2x² √5x + 1 = 0 are two complex numbers.
x = (-√5 ± √(5²-4(2)(1))/2(2)
x = (-√5 ± √9i)/4
Root 1: x = (-√5 + 3i)/4
Root 2: x = (-√5 - 3i)/4
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Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad.
What percentage of the apples are bad? Round your answer to the nearest number.
Answer:
To find the percentage of bad apples, we need to divide the number of bad apples by the total number of apples and then multiply by 100%. In this case, there were 24 apples in total and 6 of them were bad, so the percentage of bad apples is 6/24 * 100% = 25%. Rounded to the nearest number, this is equal to 25%.
How many terms are in the expression 4x 5?
There are 2 terms in this mathematical expression. One multiplication sign act as an operator of two numbers.
What is mathematical expression?It is a mathematical statement express the relationship between two or more terms along with mathematical symbols. Terms can be numbers, variables with or without coefficient. symbols can be addition sign, multiplication sign, division and subtraction sign, equal or inequal sign etc. Beside this we have many other operator or symbols to state the mathematical expression.
How many terms we have in the following question?In the above question, we have 2 numbers along with a symbol. We notice that 4 and 5 are two numbers multiplied here as there is a multiplication sign between them.
4 x 5 denotes an expression which state that 4 is multiplied by 5 and the result will be 20.
hence, we have 2 terms and one operator.
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the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area
The total surface area of a cylinder are 1187.35 cm sq.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.
A = 880
V = 3080
Curved surface area of cylinder = 2πrh
880 = 2π x r x h
rh = 880/ 2π
Volume of cylinder = πr x r x h
3080 = πr x r x h
rh = 3080 / πr
Substitue the values;
880/ 2π = 3080 / πr
440/π = 3080 / πr
r = 3080 / 440
r = 7
Now, rh = 880/ 2π
h = 20.01
The total surface area = 2πr(r + h)
= 2π x 7(7 + 20.01)
= 1187.35 cm sq.
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The sum of four consecutive integers is -10. What is the largest integer?
The largest number is -1
What is number ?
An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.
An item in mathematics used for measurement, labeling, and counting is a number. The prime numbers 1, 2, 3, 4, and so forth are the original examples. Number words can be used to represent numbers in language.
Let the 4 consecutive integers are
x
x+1
x+2
x+3
x + (x+1) + (x+2) + (x+3) = -10
4x + 6 = -10
4x = -16
x = -4
The 4 consecutive integers are -4 , -3 , -2 , -1
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According to the 2011 national survey of fishing, hunting, and wildlife-associated recreation, there were over 717171 million wildlife watchers in the us. Of these wildlife watchers, the survey reports that 80\%80%80, percent actively observed mammals. Suppose that one of the census workers repeated the survey with a simple random sample of only 500500500 wildlife watchers that same year.
The survey reports that 80%, percent actively observed mammals = 0.4246
Given that,
The 2011 national survey of fishing, hunting, and wildlife-associated recreation, there were over 71 million wildlife watchers in the us.
The survey reports that 80%, percent actively.
A simple random sample of only 500 wildlife watchers.
Following are the solution to the given question:
By using the approximation of normal for the proportions so, the values:
P ( p⁻ < p ) = P ( Z < ( p⁻ - p ) / [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
So,
P ( 0.79 < p⁻ < 0.81 ) = P ( p⁻ < 0.81 ) - P ( p⁻ < 0.79 )
= P ( Z < (0.81-0.80) / [tex]\sqrt{\frac{0.80(1-0.80)}{500} }[/tex] ) - P ( Z < (0.79-0.80) / [tex]\sqrt{\frac{0.80(1-0.80)}{500} }[/tex] )
= P ( Z < 0.56 ) - P ( Z < -0.56 )
= 0.7123 - 0.2877 (using the Z table )
P ( 0.79 < p⁻ < 0.81 ) = 0.4246
Therefore,
The survey reports that 80%, percent actively observed mammals = 0.4246
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What additional information do you need to know in order to prove the two triangles congruent using HL?
There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
1. SSS (side, side, side)-If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
2. SAS (side, angle, side) -If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
3. ASA (angle, side, angle)-If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
4. AAS (angle, angle, side)-If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
5. HL (hypotenuse, leg)
This one applies only to right angle triangles
From the figure,
HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called "legs")
It means we have two right-angled triangles with
The same length of hypotenuse andThe same length for one of the other two legs.It doesn't matter which leg since the triangles could be rotated.
For example: From fig(2)
is congruent to fig(3)
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
The additional information need to know in order to prove the two triangles congruent using HL is the hypotenuses to be congruent.
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Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers. How long is each side of the fence in miles?
Each side is 1.55 miles in the fence.
What is fence?
A structure meant to delineate a boundary or prevent escape or intrusion. Particularly: a boundary line or immaterial barrier made of posts, wire, or boards.
Given:
Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers.
Since, Hexagon has six sides and each side is equal.
So there is 2.5 kilometer to fence each side.
Now to convert kilometer into miles.
Since
1 kilometer = 0.621371 miles
So,
2.5 kilometers = 1.55343 miles
Hence, each side is 1.55 miles in the fence.
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1. Evaluate each expression. Show your work. (6 points: 2 points for each correct answer with work shown)
B. (9)^1/2 + √25 - 8 ÷ 2 + 3^2
C. 1/2 x 3/5 (2^3 - 6
Please show your work for these 2 expressions.
Answer:
B.) 13
C.) 0.6
Step-by-step explanation:
The order of operations to evaluate these expressions is as follows:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
So, for B.)
[tex]9^\frac{1}{2}+\sqrt{25}-8\div2+3^2[/tex]
This can be rewritten as
[tex]9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2[/tex]
Since there are no parentheses, evaluate the exponents first:
[tex]3+5-8\div2+9[/tex]
Next, there are no multiplication steps, but there is one division:
[tex]3+5-4+9[/tex]
To finish, evaluate from left to right:
[tex]3+5-4+9\\8-4+9\\4+9\\13[/tex]
Follow the same pattern for C.)
[tex](\frac{1}{2})(\frac{3}{5})(2^3-6)[/tex]
This expression can be rewritten as
[tex](1\div2)(3\div5)(2^3-6)[/tex]
First, evaluate the expressions in the individual parentheses, keeping in mind the expression [tex](2^3-6)[/tex] must be evaluated following the same pattern (evaluate the exponent before subtracting six):
[tex](.5)(.6)(8-6)\\(.5)(.6)(2)[/tex]
To finish, evaluate from left to right:
[tex](.3)(2)\\.6[/tex]
Hope that helps!
Can a binomial have degree 3?
Yes , the given statement a binomial can have degree three is true.
As given in the question,
Binomial can have degree three is a true statement explain in a following way:
Binomial is a polynomial which is a combination of two terms combined by '+' addition or '-' subtraction mathematical operation.Binomial may have degree one , two , three , so on.Degree of the polynomial does not effect the definition of binomial.If it is of degree three it is cubic binomial or polynomial.One term represents monomial, three terms represents trinomial and so on.Therefore, binomial may have degree 3 is a true statement.
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What quotient does the model Nestor made represent?
3 groups of cubes. In each group are 2 tens rods and 7 unit cubes.
3.21 ÷ 3 = 1.07
1.47 ÷ 7 = 0.27
0.21 ÷ 7 = 0.03
0.81 ÷ 3 = 0.27
What kind of sequence is 4/8 16?
It is an Arithmetic sequence
What is Arithmetic sequence?
Arithmetic sequences are collections of integers where the distance between succeeding items is consistently the same.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same. In this case, the difference between the two terms is 16 - 4/8 = 12.
So the sequence could be written as 4/8, 4/8 + 12, 4/8 + 2*12, ... and so on. Each term in the sequence is obtained by adding 12 to the previous term.
Hence, It is an Arithmetic sequence.
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what is the answer of this?
Answer:
The answer is 5
Step-by-step explanation:
length(Hypotenuse) = 13m
height(opposite) = 12m
ground(adjacent) = ?
using the formula
Hyp² = oppo² + Adj²
13² = 12² + Adj²
Adj² = 13² – 12²
Adj² = 169 – 144
Adj² = 25
Adj = √25
Adj = 5
:- the distance of the foot of the ladder from the bottoms wall is 5
i hope this helps
What is the value of x in the figure?
Enter your answer in the box.
X =
220
to
The value of x =68
We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.
x+22 =90
Subtract 22 from each side
x+22-22 = 90-22
x =68
In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown.
"How do you find value of x?
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
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Answer: 68
Step-by-step explanation:
Provided the correct answer after places 34 as the answer.
What are the 3 ways to pass parameters in C++?
There are three parameter-passing modes in C++: by value, by pointer, and by reference.
Now, According to the question:
There are three parameter-passing modes in C++: by value, by pointer, and by reference.
What are the three main parameters?
The three main parameters assessed when calculating the Human Development Index of a place are:
A. Economic parameters.
B. Health parameters.
C. Education parameters.
D. Linguistic parameters.
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Discuss the difference between r and p. Does r represent population correlation coefficient
Or critical value for the correlation coefficientorsample correlation coefficient.
r stands for the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables. p stands for the critical value for the correlation coefficient, which is used to determine the significance of the correlation coefficient.
The Pearson correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. The correlation coefficient is a good way to determine the strength of the relationship between two variables.The critical value for the correlation coefficient (p) is used to determine the significance of the correlation. It is determined by the sample size, the number of variables being correlated, and the level of significance. The lower the P value, the more significant the correlation is. If the P value is below the chosen level of significance, then the correlation is considered statistically significant.In conclusion, r is the Pearson correlation coefficient and p is the critical value for the correlation coefficient. R measures the strength and direction of the linear relationship between two variables, while P indicates the significance of the correlation. Both measures are important when assessing the relationship between two variables.
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Gabby is an editor. She needs to review a textbook with 398 pages. She plans to review 9 pages each day for the next 31 days. She works out that she will have 279 pages left to review after that. Does that sound about right?
Step-by-step explanation:
Gabby is an editor. She needs to review a textbook with 398 pages. She plans to review 9 pages each day for the next 31 days. She works out that she will have 279 pages left to review after that. Does that sound about right?
398 - ( 9 * 31) = 119 pages left
No, because Gabby will only have 119 pages left after reading 9 pages a day for 31 days. 279 pages is an overestimate.
A farmer grows only sunflowers and flax on his 240-acre farm.
This year he wants to plant 80 more acres of sunflowers than of flax. How many
acres of each crop does the farmer need to plant?
Answer:
Flax: 80 acres
Sunflowers: 160 acres
Step-by-step explanation:
Let's
x = acres of flax
y = acres of sunflowers
We have the equations:
x + y = 240
y = x + 80
Let's do it in standard form
x + y = 240
x - y = -80
2x = 160
x = 80 acres
Now put 80 back in the equation to find sunflowers
80 + y = 240
y = 160 acres
So, 80 acres of flax and 160 acres of sunflowers!
[(5^-1×3^-1)÷6^-1]
how would u do this
Answer:
hi this is so simple you know use
formula to solve
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[(5^-1×3^-1)÷6^-1]
[tex] = (\frac{1}{5} \times \frac{1}{3}) \div \frac{1}{6} [/tex]
[tex] = \frac{1}{15} \div \frac{1}{6} [/tex]
[tex] = \frac{1}{15} \times 6[/tex]
[tex] = \frac{1}{3 \times 5} \times 3 \times 2[/tex]
[tex] = \frac{3 \times 2}{3 \times 5} [/tex]
[tex] = \frac{2}{5} [/tex]
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What is nth formula?
The nth formula of any mathematical expression represents the general formula for the given sequence or series.
nth formula of the given mathematical expression is the way of representing the given sequence or series in standard form.For example nth formula of the arithmetic sequence is given by aₙ= a + ( n - 1 )d.Here aₙ represents the nth term of the sequence.'a' represents the first term of the sequence.'n' represents the number of terms.'d' represents the common difference between the consecutive terms of the sequence.nth term help us to find value of any term without calculating others terms.Therefore, the nth formula is used to represents the mathematical sequence or series in standard form.
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If you reflected the point (x, y) over the line y = x, what would it become?
Answer:
(y, x )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x )
Which of the following is equivalent to −2(5p − 2q)?
−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q
Answer:
A,-10p+4q
Step-by-step explanation:
-2(5p-2q)
-2*5p+(-2*-2q)
-10p+4q
Answer:
[tex] - 10p + 4q[/tex]
is the answer. A
Find the perimeter of the square:
28
Answer:
4×side
Step-by-step explanation:
i hope this helps
At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?
The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
Given: Function f(x) is (x - 5)3(x + 2)2
If a curve touches the x-axis then f(x) = 0
⇒ (x - 5)3(x + 2)2 = 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ (x - 5)3 = 0 and (x + 2)2 = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
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Sam i uing the number 2,3,5,and 7. She multiplied ome of thee number and got the product of 10. What are all of the product?
The possible product is:
2 * 5 = 10
1 * 10 = 10
In mathematics, multiplication is a process of combining numbers and finding the product. It is denoted by the symbol "x" or "*". There are different ways to perform multiplication, such as using a multiplication table, using a calculator, or using the standard algorithm. The standard algorithm is a systematic method for performing multiplication that involves multiplying the digits in the ones, tens, and so on place value columns, and then carrying and regrouping as necessary.
To find all the possible products that can be obtained by multiplying some combination of the numbers 2, 3, 5, and 7 that result in a product of 10. Here are the two possible products that can be obtained by multiplying these numbers:
2 * 5 = 10
1 * 10 = 10
The possible products that result in a product of 10 are 2 * 5 and 1 * 10.
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The quadratic function f(x) has roots of 3 and 7, and it passes through the point (1, 12). What is the vertex form of the equation of f(x)?
f(x) = −(x + 5)2 − 4
f(x) = −(x − 5)2 − 4
f(x) = (x + 5)2 − 4
f(x) = (x − 5)2 − 4
The vertex form of our quadratic equation is:
y = (x - 5)^2 - 4
What is the vertex form of the quadratic?A quadratic equation with a vertex (h, k) and a leading coefficient a is:
y = a*(x - h)^2 + k
We know that the quadratic function has roots of 3 and 7, then if the leading coefficient is a, we can write:
f(x) = a*(x - 3)*(x - 7)
We also know that it passes through the point (1, 12), then:
12 = a*(1 - 3)*(1 - 7)
12 = a*(-2)*(-6)
12 = a*12
12/12 = a
1 = a
Then the quadratic is:
y = (x - 3)*(x - 7)
Expanding that we get:
y = x^2 - 3x - 7x + 21
y = x^2 - 10x + 21
The x-value of the vertex is halfway between the two roots:
x' = (3 + 7)/2 = 5
So evaluating in x = 5 we get:
y = (5)2 - 10*5 + 21
y = 25 - 50 + 21 = -4
The vertex is (5, -4), then the vertex form is:
y = (x - 5)^2 - 4
The correct option is the last one.
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Answer:
f(x) = (x − 5)2 − 4
Step-by-step explanation:
i got it right on my quiz
How many unique sets of 3 prime numbers exist for which the sum of the numbers is 44?
The unique set of 3 prime numbers for which the sum of the numbers is 44 are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23}.
What is Prime Number?Prime numbers are the numbers in the set of natural numbers for which 1 and the number itself are the only factors of it.
The numbers which are not prime are called composite numbers.
We have to find the set of 3 prime numbers which on adding yields 44.
Now 44 is a composite number and also an even number.
We also know that adding two odd numbers as well as adding two even numbers always gives the even number.
2 is the only even prime number.
So if we take this set which is not including 2, then by adding odd + odd + odd gives the odd number.
But the answer we needed is 44, which is even.
So this set always contain 2 as one of the prime number.
So by adding the other two prime numbers, we must get 42.
Thus we got,
{2, 5, 37} = 2 + 5 + 37 = 44
{2, 11, 31} = 2 + 11 + 31 = 44
{2, 13, 29} = 2 + 13 + 29 = 44
{2, 19, 23} = 2 + 19 + 23 = 44
Hence the unique 3 set of prime numbers are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23} for which the sum is 44.
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