Answer:
Step-by-step explanation:
This is a right triangle that has two equal sides - so it is also isosceles.
It can be solved using Pythagoren Theorem.
a² + b² = c²
In this case a = b
so:
6² + 6² = c²
36 + 36 = c²
72 = c²
[tex]\sqrt{72[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.49 = c
round to 8.5
This is the length of the flap.
d^2a/db^2 +a = 4b+10sin(b)
The given equation is a second order differential equation
What is a differential equation?In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.
Isaac Newton listed three kinds of differential equations given -
[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]
Given is a differential equation as follows -
d²a/db² + a = 4b + 10sin(b)
The given equation is -
d²a/db² + a = 4b + 10sin(b)
Let y = a and x = b, then we can write -
d²y/dx² + y = 4x + 10sin(x)
A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -
d²y/dx² + P(x) dy/dx + Q(x) y = f(x)
For the equation given -
d²y/dx² + y = 4x + 10sin(x)
On comparing, we get -
P(x) = 0
Q(x) = 1
f(x) = {4x + 10sin(x)}
Therefore, the given equation is a second order differential equation.
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Write a number sentence using multiplication ti show what fraction represented on the mumber line is equivalent to 3/4
The fraction that is equivalent to 3/4 is seen as; 6/8
How to represent fractions?A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.
We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.
Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.
Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;
(3 * 2)/(4 * 2) = 6/8
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Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?
O 2
O 2 1/7
O 7/15
O 1 8/7
A science teacher makes two mixtures of red dye and water. Mixture A has 3 mL of red dye every 20 mL of water. Mixture B has 4mL of red dye fr every 30 mL of water. Which mixture is redder?
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Two red dye and water combinations are created by a science teacher. For every 20 mL of water in Mixture A, 3 mL of red dye is present. For every 30 mL of water in Mixture B, 4 mL of red dye is present.
The ratio of the red dye to water for A is given as,
⇒ 3 / 20
⇒ 0.15
The ratio of the red dye to water for B is given as,
⇒ 4 / 30
⇒ 0.133
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
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What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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Please help will mark Brainly
The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular vinegar if the pH level is 2.5. (5 points)
3.979 x 10–1
9.536 x 103
3.162 x 102
3.162 x 10–3
The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)
What is pH?pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.
pH can also be defined as the measure of acidity and alkalinity of a substance.
pH = –log(H+)
Therefore (H+) = 10^-(pH)
For a pH of 2.5, the hydronium ion concentration
= 10^-2.5
(H+) = 0.003162 = 3.162×10^-3
Therefore hydronium ion concentration of the vinegar is 3.162×10^-3
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a) calculer: f(1,5); f(2,5); f(2)
Answer:
Step-by-step explanation:
you should give the function, if i haven't it, how can i help you.
i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.
Solve: 2x - 5 = 4x + 3
Important: No spaces in your answer
(any spaces within the answer can get the whole answer wrong)
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?
Answer:
6
Step-by-step explanation:
Let the number of hours be [tex]x[/tex].
[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]
So, the minimum is 6 hours.
8.326 rounded to the nearest tenth
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
1/4×1/12 ÷ 1 page = blank
1page
Answer:
0.02083333333
5. Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
The decimal value is exact without any rounding.
==========================================================
Explanation:
If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78
An increase of 6% leads to 100%+6% = 106% and that converts to 1.06
Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.
Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.
---------
Extra info:
The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%
This means Jackson is getting a real discount of 17.32% after the taxes have been considered.
 A jar filled with maple syrup weighs 1.5 pounds. Two jars filled with honey weigh 3 pounds. What is the weight of the jar?
The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
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Frank does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 6 hours. He spends at most 12
hours on weight training. He spends at most 3 hours doing cardiovascular work. Letx denote the time (in hours) that Frank spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.
What is inequality?
A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤
How to express the inequality as per given statement?
Frank participates in exercise program at least 6 hours in each week.
He spends at most 12 hours on weight training
y denotes the time in hours that he spends on weight training.
Frank spends at most 3 hours doing cardiovascular works
x denotes the time in hours that he spends doing cardiovascular works
The expression that can represent the above statement.
can be written as
x ≤ 3 and y≤ 12
x ≤ 3 + y ≤ 12 ≥ 6
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2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answer:the third one
Step-by-step explanation:
Show your work please!!!
Answer:
Error is in line 3
Error description: Root of 4 is 2 not 4
Correct answer should be 9*√5 (12*√5 - 3*√5)
How can you use this pattern to find 3°
Number pattern, sequence, finding the algebraic rule and using a ... To illustrate this, consider the following sequence of numbers {1, 3, 5, 7, 9, …}.
What is Number pattern?Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.To solve the problems of number pattern, we need first to find the rule being followed in the pattern.
To find out the rule, we need to see the first few numbers in the series.Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers. For example: 0, 5, 10, 15, 20, 25, … Here, we get the numbers in the pattern by skip counting by 5.
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The complete question is -
How can you use this pattern to find 3° of the number in Series ?
The total cost (in dollars) of manufacturing x auto body frames is C(x)=40,000+500x. (A) Find the average cost per unit if 200 frames are produced. (B) Find the marginal average cost at a production level of 500 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced.
The marginal average cost is -1 and The marginal average cost for 200 is $699.
What is marginal cost?The price to manufacture a second unit of output is known as the marginal cost. Since marginal cost aids in determining the level of production that is the most effective for a manufacturing process, it is a crucial topic in cost accounting. It is estimated by estimating the costs incurred even if just one more unit is produced.
Given The total cost (in dollars) of manufacturing x auto body frames is C(x)=40,000+500x.
Average cost = Cx / x
Average cost = (40,000 + 500x)/ x
For x = 200
Average cost = (40,000 + 500 * 200)/200
Average cost = 700$ per frame
Marginal average cost = d(Cx/x)/dx
d(Cx/x)/dx = -40,000/ x^2
at x = 200
Marginal average cost = -40,000/ 200^2 = -1
Marginal average cost = -1 tells us the average cost
decrease at the rate of -1 for every x
Average cost for 200 = 700$ per frame
Average cost for 200 = 700 + 1 (-1)
The average cost for 200 = 700 -1 = 699$
therefore, the Marginal average cost for 200 is $699.
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with a 5% sale discount the price of an item is $38 what was the original price
Answer:
[tex]38 \div5 \\ [/tex]
y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
What is the radius of a globe that has a volume of 268.08 in³?
Answer:
4 inches is the radius
Step-by-step explanation:
6x2x(x−3) x (x−3)10(x+2)
The product of given numbers is 60x³(x−3)²(x+2)
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra,
Multiply the numbers:
6x²x(x−3) * (x−3)10(x+2)
Multiply 6 and 10
60x²x(x−3) (x−3)(x+2)
Multiply x terms
60x³(x−3) (x−3)(x+2)
Multiply (x-3) terms
60x³(x−3)²(x+2)
So, the product of given numbers is 60x³(x−3)²(x+2)
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Write and solve the inequality that represents
is greater than or equal to the product of 2 and a number.
5
3
The following is the proper response to this problem's inequality. The relationship between negative one fifth and negative two thirds is higher than or equal when y is bigger than or equal to three tenths.
what is inequality ?In mathematics, an inequality is a link between two expressions or values that is not equal. Thus, inequality arises as a result of imbalance. An inequality in mathematics describes the connection between two values that are not equal. Many simple inequalities can be eliminated by modifying both sides until just the variables are left. However, a number of things lead to inequality: On both sides, divide or add negative values. Toggle between left and right.
Given
One fifth less is -1/5.
When a negative two thirds is added to a number, the result is -2/3x. Since the value is unknown, we refer to it as x.
The following is the sign for more than or equal inequality:
The inequality is therefore: -1/5 -2/3x.
So that it will be easier for us to isolate x:
2/3x ≥ 1/5
2x ≥ 3/5
x ≥ 3/10.
Since y is more than or equal to three tenths, the right answer for the inequality is: negative one fifth is greater than or equal to negative two thirds y.
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Bennet stated that the opposite of the opposite is always negative Kylie disagreed with bennet and stated that the opposite of the opposite of any number is always positive which erson is correct or are neither correct and explain how u know
Both Kylie and Bennet are correct.
Opposite of the opposite of a number is negative if the number is a positive number.
Opposite of the opposite of a number is positive if the number is a negative number.
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,
Number = x
The Opposite of x is -x.
Opposite of -x.
= -(-)
= x
Number = -x
The opposite of -x.
= -(-x)
= x
The opposite of x.
= -x
Thus,
Both the person is correct.
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Convert:
25 decimeters
=
Round to the tenths.
meters
Answer:
2.5
Step-by-step explanation:
Decimeter is 0.1 meter (10 centimeters). That means 25 decimeters is 2.5 meters.
\int (2)/(\sqrt(5x^(2))+3)dx and steps
Answer:
Step-by-step explanation:
A triangular side panel for a roof has the dimensions shown.
26 ft
30°
What is the approximate area, in square feet, of the side panel?
OA.
О в.
O C.
O D.
239
146.4
119.5
60°
292.7
Answer:
d
Step-by-step explanation:
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