The wood left over after making the frame and the sandbox is 10 inches.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The total amount of wood.
= 4 x 65.5
= 262 inches.
Frame:
Side = 5.25 inches
The perimeter of the frame.
= 4 x 5.25
= 21 inches
Now,
Sandbox:
The wood used for the sandbox.
= 11 x 21
= 231 inches
The remaining wood.
= 262 - (21 + 231)
= 262 - 252
= 10 inches
Thus,
The remaining wood is 10 inches.
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What’s the pattern? You start with 14 and a half, but then you get 12 and three fourths. How does that happen?
In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.
What’s the pattern?A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.
Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.
We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules.
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What is the domain of the function with the graph given below?
Answer:
(-∞, 1] or {x|x<=1}
Step-by-step explanation:
Only question b
b) Write down the output y in terms of x
Input = x > +7 > x5 > Output = y
Therefore ,As a result, y = 5x + 35 is the equation that gives the answer to the given algebra issue.
Algebra: What Is It?Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols. The PEMDAS rule stands for the following operations: parenthesis, exponent, multiplication, division, addition, and subtraction. This rule is applied to solve the equation properly and accurately.
Here,
In this case, the equation for y in terms of x will be as follows:
y = 5(x + 7)
If you make the equation simpler, you get
y = 5(x + 7)
y = 5x + 35
y will have the linear equation y = 5x + 35 in terms of x.
Therefore , As a result, y = 5x + 35 is the equation that gives the answer to the given algebraic issue.
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Please help me with these questions if can explain i am a bit confused at it
On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
Use the point (3, 2) and divide y by x using the formula y/x = k.
[tex]k = 2/3[/tex]
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Please help me solve
On solving the provided question, we can say that - the linear equation
y=mx+b = [tex]y=6.4(82)+1900= > y=524.8+1900= > y=2424.8[/tex]
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y=mx+b
x=gallons of fuel
y=total weight of plane including fuel
m=slope=6.4
b=weight of plane, no fuel....a constant to be calc'd
[tex]y=mx+b\\2245.6=6.4(54)+b\\2245.6=345.6+b\\ b=1900\\ y=6.4x+1900\\ y=6.4x+1900\\ y=6.4(82)+1900\\ y=524.8+1900\\ y=2424.8[/tex]
82gallons fuel is 2424.80 lbs
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Find ALL the missing sides and angles of this triangle.
12
40°
A
B
90°
60°
50°
:: 40*
20°
#: 5.3
12
:: 6.4
#: 7.7
:: 9.2
#: 3.6
#: 8.5
Answer:
Step-by-step explanation:
sin40°=[tex]\frac{AC}{12}[/tex]
⇒AC=sin40°×12
⇒AC=7.713≈7.7
cos40°=[tex]\frac{AB}{12}[/tex]
⇒AB=cos40°×12
⇒AB=9.192≈9.2
as A=90°,B=40°
from A+B+C=180°
we can write C=180°-90°-40°
⇒C=50°
What's the equation and solution?
Using the Algebraic tile method we get x=2 solution for equation model
What is Algebraic Tile method?The algebra tile method is a method of solving equations by using visual models, such as tiles with different values on them, to represent the unknowns and constants in the equation. It is often used to help students understand the process of solving equations and to see how the operations of addition and subtraction correspond to the process of combining or separating algebraic expressions.
In the question, we have 3 kinds of tile
X tilesunit positive tilesunit negative tilesEquation will be :
⇒ 3x - 1 - 1 = 1 + 1 + 1 + 1
⇒ 3x - 2 = 4
⇒ 3x = 6
⇒ x = 2
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prime numbers of the form p and p+2, where p is a prime number, are known as ______ prime numbers
Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.
What is the Prime numbers about?
A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.
Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.
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3. At practice the team wants to know how fast Ryan can skate. He skates 10 laps around the
rink in 3 minutes and, later on in practice he skates 5 laps in 1 minute. What was his
average speed in laps per minute?
The average speed in laps per minute of Ryan is 2.5 laps per minute
How to determine the average speed in laps per minute?From the question, we have the following parameters that can be used in our computation:
He skates 10 laps around the rink in 3 minutes In practice he skates 5 laps in 1 minuteThe above can be expressed as
(x, y) = (1, 5) and (3, 10)
The average speed in laps per minute can be calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Rewrite as
Average speed = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 5) and (3, 10)
Substitute the known values in the above equation
So, we have the following equation
Average speed = (10 - 5)/(3 - 1)
Evaluate
Average speed = 2.5
Hence, the average speed is 2.5
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how many positive 10 digit numbers can you make using seven ones and three zeros
The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28
How to solve probability combinations?We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.
Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.
The rightmost position therefore must be 0 in order to fill the need for an even number.
Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.
This means that we can place two digits of zero among 8 positions by using combination formula as;
⁸C₂ = 8!/(2! * 6*)
= 28 different ways
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Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax
Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.
The amount of federal income tax deducted from the weekly cheque is:
6.2% from Social Security plus 1.45% from Medicare.
= 7.5 percent of the weekly gross salary.
The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:
= 0.0765 × 683
= $52.25
Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.
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Steps to solve equation
An equation may have more than one solution.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.
Steps to solve a linear equation:
1. If necessary, remove the parentheses and use the distributive property.
2. By merging like terms, make both sides of the equation simpler.
3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.
4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.
5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.
6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.
7. Get the answer by isolating the variable.
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Show that 100 divided by 20 is 5, using at least five daily life examples.
The 5 life examples are:
You have 100 pieces of candy and you want to divide them equally among 20 people. Each person would get 100/20 = 5 pieces of candy.A pizza is cut into 100 slices, and you want to divide it evenly among 20 people. Each person would get 100/20 = 5 slices of pizza.You have 100 dollars and you want to spend them on 20 items at the same price. Each item would cost 100/20 = 5 dollars.You want to divide a 100-minute task into 20 equal parts. Each part would take 100/20 = 5 minutes.You are scheduling 100 appointments in a day and you want to divide them into 20-hour blocks. Each block would have 100/20 = 5 appointments.What are the Life examples about?In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:
100/20
= 5.
Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.
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Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20
☐
A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT
Choices that is equivalent to the expression √5. √20 is 5.2
Define equivalence.In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
x= (5)^1/2*(20)^1/2
x= (5)^1/2*(2.2.5)^1/2
x=5.2
So B is the correct option.
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2 Log y= 1/2 Log 16-Log 2 + 2 Log 3
Answer:
Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).
The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.
My new year's resolution using mathematics word essay 200 words
Some of company x’s new practices and systems are unethical. Business ethics is a set of codes about how a business should conducts itself. In what ways is company x not applying practices
By altering schedules without giving adequate notice, terminating employees without giving adequate notice, and making false claims about its products, company x is not adhering to best practises.
Which kinds of codes are examples?These include bar codes, ISBNs, ASCII codes, postal codes, and bank account numbers; many of these contemporary codes use a checking mechanism, also known as a check digit. The ISBN system, now used uniformly on all new books, is one illustration of this.
How should business ethics be defined?Adopting sensible company procedures and policies with reference to apparently contentious issues is referred to as practicing business ethics. Corporate governance, market manipulation, bribery, racism, social duty, and fiduciary responsibilities are a few of the topics that come up in an ethical discussion.
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Answer:
The first one is right...
Step-by-step explanation:
Given m || n , find the value of x.
Answer:
54°
Step-by-step explanation:
Angles corresponding in parallel lines are the same
PLEASE HELP ASAP DUE TODAY
Answer:
y = -3/4x + 52
y + 6 = -3/4(x-8)
Step-by-step explanation:
y = mx + c
as long as the number is -3/4x , it represents slope -3/
Answer:
B. y = -3/4x + 52, C. y + 6 = -3/4(x - 8), and F. 3x + 4y = 9
Step-by-step explanation:
A. -3x + 4y = -34
y = 3/4x - 17/2
Slope = 3/4
INCORRECT
B. y = -3/4x + 52
Slope = -3/4
CORRECT
C. y + 6 = -3/4(x - 8)
y = -3/4x
Slope = -3/4
CORRECT
D. 4x + 3y = -22
y = -4/3x - 22/3
Slope = -4/3
INCORRECT
E. 4x - 3y = 48
y = 4/3x - 16
Slope = 4/3
INCORRECT
F. 3x + 4y = 9
y = -3/4x + 9/4
Slope = -3/4
CORRECT
G. y - 6 = 3/4(x - 8)
y = 3/4x
Slope = 3/4
INCORRECT
Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)
The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.
What is the domain?Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.
Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)
For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,
144 − 9x² − 16y² − z² > 0
9x² + 16y² + z² < 144
x²/ 4² + y²/ 3² + z²/ 12² < 1
Therefore, the domain is an ellipsoid.
Therefore x ∈ (-4, 4)
y ∈ (-3, 3)
z ∈ (-12, 12)
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how many times does 12 go into 72
Answer:
Step-by-step explanation:
6
How do you simplify 3/4-2/3?
Answer:
1/12
Step-by-step explanation:
3/4 - 2/3 = 9/12 - 8/12 = 1/12
Answer:
The answer is 1/12 good luck with the rest
please tell me how to solve!!
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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find angle D thank you so much need help. geomtry
The angle m∠D of the triangle is 78 degrees.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The ΔKDT and ΔKPQ are isosceles triangle.
Isosceles triangle is a triangle that has two sides and angles equal to each other.
Therefore,
∠D + ∠T + ∠k = 180
∠D = 6x + 6
∠T = 6x + 6
∠K = 2x
Therefore,
6x + 6 + 6x + 6 + 2x = 180
14x + 12 = 180
14x = 180 - 12
14x = 168
divide both side by 14
x = 168 / 14
x = 12
Therefore,
m∠D = 6x + 6 = 6(12) + 6 = 72 + 6 = 78 degrees.
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Solve each equation for both variables help please 15 points
Answer:
x = -5
y = 2
Step-by-step explanation:
1) -5x-4y = 17
2) 3x-4y = -23
subtract equation 2 from equation 1:
-8x + 0 = 40
-8x = 40
x = -5
substitute x = -5 into equation 1 and solve for y:
-5(-5) - 4y = 17
-4y = -8
y = 2
test answers by substituting x and y values into eqation 2:
3(-5) - 4(2) = -23 Answers are correct!
can anyone help me out with this question
Answer:
[tex] \sf \: b) \: 45[/tex]
Step-by-step explanation:
The values given are,
→ u = 7
→ d = 10
→ e = 3.2
Now the expression is,
→ 15(d - u)
Evaluating the expression,
→ 15(d - u)
→ 15(10 - 7)
→ 15 × 3
→ 45
Hence, option (b) is correct.
Answer:45
Step-by-step explanation:
15(10-7)
15(3)
multiply and get 45
Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as
When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.
How to calculate the volume?Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.
The volume will be:
= Length × Width × Height
= 11cm × 8cm × 4cm
= 352cm³
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Complete question
Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume
Is a function that can be graphed discrete or continuous?
Answer:
Discrete
Step-by-step explanation:
Discrete means it has ends, and continuous means it continues on forever.
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?
Answer:
D+Q = 31
10D + 25Q = 595
10D + 10Q = 310
subtract to get
15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes