The carpenter needs 1602.76 inches of wood to build the frame, which includes a 13x49 inch rectangle, a 12x48 inch rectangle, and a 7 inch radius semicircle.
Rectangle 1:
13 x 49 = 637 inches
Rectangle 2:
12 x 48 = 576 inches
Semicircle:
3.14 x 7 x 7 = 153.94 inches
Total = 637 + 576 + 153.94 = 1602.76 inches of wood
The second piece will be a rectangle with sides of 12 inches and 48 inches. The third piece will be a semicircle with a radius of 7 inches. Therefore, the carpenter will need a total of
(13 x 49) + (12 x 48) + (3.14 x 7 x 7)
= 1602.76 inches of wood to build the frame.
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3 Ruffles Boutique bought a leather jacket from a wholesale distributor for $140. The store markup on this item is 220% What is the selling price of the jacket? нго JM 308
Using the formula for the selling price with the markup price and the cost price , The answer is the selling price of the jacket would be $454.
What do you mean by profit and loss?Profit, also known as net income, is the amount by which revenue exceeds expenses. It is the money a company earns after deducting all its expenses. Loss, also known as net loss or net income, is the amount by which expenses exceed revenue. It is the money a company loses after deducting all its expenses. Profit and loss statement shows the revenues, costs and expenses, and net income of a company. It's an important metric for investors, as it helps them understand the company's financial health and assess its potential for growth.
What is a selling price?Selling price, also known as the "price," is the amount that a customer pays for a product or service. It is the price at which a company offers to sell its goods or services to customers. Selling price is determined by a variety of factors such as production costs, marketing and distribution expenses, and competition. Selling price is an important metric for businesses as it is a key driver of revenue, and it also helps a company to determine its profit margin.
Selling price = Cost price + (Markup percentage x Cost price)
Selling price = $140 + (220/100 x $140)
Selling price = $140 + $308
Selling price = $454
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Year 2008 2012 2013 2014 2015 2019 Value ($) 1,363,812 1,097,236 1,021,124 945,012 868,900 500,200 The data set can be modeled with a linear best-fit function. What was the approximate value of the shopping center in the year 2000?
The linear equation is Y = -55643.61069X + 112841371.95165, and
value for year 2000 is $15,54,150.6.
What is linear regression?When modelling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.
Given
X(year) 2008 2012 2013 2014 2015 2019
Y(values $) 1,363,812 1,097,236 1,021,124 945,012 868,900 500,200
Mean of X is Mx 2013.5
Mean of Y is My 802961.8333
X - Mx Y - My (X - Mx)² (X - Mx)(Y - My)
-5.5 560850.1667 30.25 -3084675.917
-1.5 -693238.8333 2.25 1039858.25
-0.5 218162.1667 0.25 -109081.0833
0.5 151050.1667 0.25 75525.0833
1.5 65938.1667 2.25 98907.25
5.5 -302761.8333 30.25 -1665190.083
SS: 65.5 SP: -3644656.5
equation is y = mx + c
m = SP/SS = -3644656.5/65.5 = -55643.61069
c = My - mMx = 802961.83 - (-55643.61 x 2013.5) = 112841371.95165
Y = -55643.61069X + 112841371.95165
and value for year 2000 is
Y = -55643.61069X + 112841371.95165
Y = $15,54,150.6
Hence the equation is Y = -55643.61069X + 112841371.95165 and amount for year 2000 is $15,54,150.6.
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Find the slope of the line graded below
Answer:
-1/3
Step-by-step explanation:
Which pair of times has the longest elapsed time between the two times?
9:10 p.m. to 1:55 a.m.
10:15 a.m. to 3:25 p.m.
2:45 p.m. to 7:45 p.m.
1:05 p.m. to 6:10 p.m.
Answer:
B - 10:15 a.m. to 3:25 p.m.
Step-by-step explanation:
9:10 p.m. to 1:55 a.m. - 4h 45m
10:15 a.m. to 3:25 p.m. - 5h 10m
2:45 p.m. to 7:45 p.m. - 5h
1:05 p.m. to 6:10 p.m. - 5h 5m
Write an equation that would have infinitely many solutions to 3x+7y=10
An equation that would have infinitely many solutions to 3x + 7y = 10 is written to be 6x + 14y = 20
What are consistent and dependent equations?A consistent system is dependent if there are an endless number of possible solutions.
The two equations represent the same line when you graph them. Such equations increase or decrease by same factor hence using a factor of 2 to increase the given equation we have
(3x + 7y = 10) * 2
= 6x + 14y = 20
6x + 14y = 20 will have infinite number of possible solutions when solved with 3x + 7y = 10
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Write a formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x°
A formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x° is x°=180°(n-2)/n.
What is the formula to find the number of sides with interior angle?We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180°(n-2)/n, where n is the number of sides of the polygon.
Given that, in a regular polygon given that the measure of one interior angle is a x°
We know that, in the regular polygon is all interior angles are equal and all sides are equal.
Now, x°=180°(n-2)/n
Therefore, the formula is x°=180°(n-2)/n.
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[marking the most brainliest!!] Describe a series of transformations that would map Figure Q onto Figure R.
The series of transformations that would map figure Q onto figure R include
A translation 3 units down followed by a reflection over y axis
What is transformation as used in geometry?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
The four ways include
dilationrotationreflectiontranslationThe Pre-Image refers to the object's initial shape, and the Image, after the transformation, refers to the object's ultimate shape and location.
In the problem, the translation that maps figure Q onto figure R
Translation down 3 units: this brings the two objects to the same level
Reflection over y-axis: this creates a mirror image to the right hand sode
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A share of Gucci stock is currently worth $680 and increases an average of $6 per day. A share of
eloton stock is currently worth $1030 and decreases an average of $8 per day. Write and solve a
system of equations to find the number of days after which the stocks will have the same value and
what the value will be. (Hint: use substitution)
Answer:
The system of equations would be: Gucci stock: 680 + 6x = 1030 - 8x Eloton stock: 680 + 6x = 1030 - 8x Solving the system of equations yields x = 175, meaning it will take 175 days for the stocks to have the same value. The value for both stocks after 175 days will be equal to $930.
help im lost and it’s not even funny how do you answer this
The rational zero theorem is the reason that you find the factors of x and not b for factor a trinomial x² + bx + c.
How to factor a trionomial?According to the Factor Theorem, any polynomial function, which is the case of a trinomial, is factored according to the products of the linear factors of a function, which are dependent on the zeros of the function.
The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant divided by the factors of the leading coefficient.
For the trinomial x² + bx + c, the parameters are given as follows:
The constant is c.The leading coefficient is 1, which is the term that multiplies x².As the term b is not the constant, while c is, c is used to obtain the zeros of the trinomial and then factor it.
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Let u = lnx and V = lny. Write In
Y^7/x^5
in terms of u and v.
The expression ln(y⁷/x⁵) can be written as u⁷ - v⁵.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is ln(y⁷/x⁵) and u = ln(x) and v = ln(y). The expression in terms of u and v can be written as,
E = ln(y⁷/x⁵)
E = ln(y)⁷ - ln(x)⁵
E = u⁷ - v⁵
Hence, the solution for the expression is E = u⁷ - v⁵.
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A basket containing 180 cherries is split amount 3 different people. Charlie receives twice the
amount that Sam receives, and Fred receives 20 more than Sam. How many cherries do each of
the men receive?
The number of cherries that Sam, Charlie, and Fred have will be 40, 80, and 60, respectively.
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.
A basket containing 180 cherries is split amount 3 different people. Charlie receives twice the amount that Sam receives, and Fred receives 20 more than Sam.
Let the number of cherries that Sam has be 'x'. Then the equation is given as,
x + 2x + x + 20 = 180
Simplify the equation, then we have
x + 2x + x + 20 = 180
4x = 160
x = 40
Then the number of cherries Charlie has is given as,
2x = 2(40)
2x = 80
Then the number of cherries Fred has is given as,
x + 20 = 40 + 20
x + 20 = 60
The number of cherries that Sam, Charlie, and Fred have will be 40, 80, and 60, respectively.
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Find the number of positive numbers less
than 2020, which can not be written as the
sum of three consecutive positive numbers.
Answer:
[tex]1347[/tex]
Step-by-step explanation:
Let's first figure out an expression for the sum of 3 consecutive integers
If [tex]n[/tex] is the smallest of the 3 consecutive integers, then the next consecutive integer would be [tex]n + 1[/tex] and the next one after that, [tex]n + 2[/tex]
The sum of these would be
[tex]n + (n +1) + (n +3) = 3n + 3[/tex]
The next step is to find out many integers there are between 1 and 2019(since the question says less than 2020) that can be written as the sum of 3 consecutive integers
We get the following inequality:
[tex]3n + 3 < 2020[/tex]
[tex]3n = 2017[/tex]
[tex]n = 2017/3 = 672 \textrm{ (omit fractional part)}[/tex]
So there are 672 integers that can be expressed the sum of 3 consecutive integers
Since there are a total of 2019 integers between 1 and 2019, subtracting 672 from 2019 will give us the complement i.e. The number of positive numbers less than 2020, which cannot be written as the sum of three consecutive positive numbers.
Answer:
[tex]2019 - 672 = \boxed{1347}[/tex]
Which of the following expressions means "five factors of 3"? 5 3 5 ÷ 3 3 5
The expressions that means "five factors of 3 is [tex]3^{5}[/tex], option D.
What does a math factor mean?The concept that will be used is the factor: A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
It should be noted that Factors of 3 that can be found are (1 and 3).
Then the ''Five factors of 3'' can be interpreted as =( 5 times the factor of 3) and this can be written as [tex]3^{5}[/tex]
Therefore, Five factors of 3 can be expressed as [tex]3^{5}[/tex]
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(3z+7) (3z+7) Algebric identity
Answer:
9z square+49+42z
Step-by-step explanation:
right!
Color blindness. About 8% of males are COLORBLIND. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects.
b) What's the probability that she won't find anyone colorblind among the first 4 men she checks? c) What's the probability that the first colorblind men found will be the sixth person checked? d) What's the probability that she finds someone who is colorblind before checking the 10th man?
(b) The probability is 0.71639, (c) Probability is 0.0527, (d) Probability is 0.5278.
What is Probability?
Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Probability of males who are color blind = 8% = 0.08
Probability of males who are not color blind = 92% = 0.92
(b) Probability that she won't find anyone color blind among the first four men she checks = (0.92) (0.92) (0.92) (0.92) = 0.71639 = 71.639 %
(c) If the first color blind man is the sixth person checked, the five person prior to this are not color blind.
Probability = (0.92)⁵ (0.08) = 0.0527 = 5.27%
(d) Probability before checking the 10th man means the probability of finding colorblind person among the 9 person.
Probability of finding no person color blind among 9 person = (0.92)⁹ = 0.47216 = 47.216%.
Probability that she finds someone who is color blind before checking the 10th man is = 1 - 0.47216 = 0.5278 = 52.78%
Hence the probabilities in every cases is found.
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Identify the parent function.
• A. Square root
B. Cube root
• C. Absolute value
D. Reciprocal
Jason has $600 in his bank account. He saves $90 of his paycheck every month. Donna has $300 in her bank account, but she is saving $120 every month.
Which inequality represents the situation where m is the number of months when Donna will have at least as much money as Jason?
Group of answer choices
600 + 90m 300 +120m
600 + 90m 300 +120m
600 + 90m 300 +120m
600 + 90m 300 +120m
The inequality that represents the case where Donna has equal or more money saved than Jason is:
$600 + $90*m ≤ $300 + $120*m
Which one is the correct inequality?We know that Jason has $600 on his bank, and he saves $90 per month, then the amount that he has after m months is:
J(m) = $600 + $90*m
Donna has $300 in her bank and she saves $120 each month, so after m months, she has:
D(m) = $300 + $120*m
Now we can write the inequality:
J(m) ≤ D(m)
Replacing the actual equations we will get:
$600 + $90*m ≤ $300 + $120*m
That is the inequality that represents the situation where m is the number of months when Donna will have at least as much money as Jason.
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James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯
is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯
?
Square A B C D with diagonal A C drawn in forming two right triangles.
67.75 m
17.75 m
71 m
221 m
The length of the diagonal AC is 71 meters.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
James is running around a square field.
He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A.
Then he cuts across the diagonal to point C.
In total, he covers 271 meters.
AB is 50 meters long.
So, the perimeter is 200 meters.
The length of the diagonal,
=√{(50)² + (50)²}
= √5000
= 70.71 meter
≈ 71 meters.
Therefore, the diagonal is 71 meters.
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please help. I do not understand
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
The sample space for a eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8} ( optionD)
What is sample space?A sample space a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment.
For example the sample space in a six- sided fair die is 6 and the items is {1, 2, 3, 4, 5, 6}. Each face of the die will represent a number from 1 to 6.
Similarly in a eight-sided fair die, the space on the die are 8 and each face will represent a number. This means that taking the numbers from 1, the faces will have 1, 2, 3 ,4 ,5, 6 ,7, 8,
Therefore the the sample space on a eight-sided fair die is {1, 2, 3, 4, 5, 6, 7, 8}.
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Answer: D is the correct answer I got it right
Step-by-step explanation:
Your school is donating items to the local food pantry. Your homeroom is having a competition to see who will donate the most items. You have already donated 14 items and plan to donate 3 more each week. Your friend has already collected 8 items and plans to collect 5 more items each week. Write and solve a system of equations for the number of weeks (x) when you both donate the same number of items (y).
Answer: It will take 3 weeks for both of us to have collected the same
Step-by-step explanation: just did this
Answer:
First equation: y = 14 + 3x
Second equation: y = 8 + 5x
Step-by-step explanation:
To model this situation, we can set up a system of two equations. The first equation will represent the number of items you have collected after a certain number of weeks, and the second equation will represent the number of items your friend has collected after the same number of weeks.
First equation: y = 14 + 3x
Second equation: y = 8 + 5x
To find the number of weeks it takes for you both to donate the same number of items, we can set the two equations equal to each other and solve for x.
14 + 3x = 8 + 5x
6x = 6
x = 1
It will take 1 week for you both to donate the same number of items. To find the total number of items each of you will have donated at that point, we can substitute 1 for x in either of the original equations and solve for y.
For example, substituting 1 for x in the first equation gives us: y = 14 + 3(1) = 14 + 3 = 17
So, after 1 week, you will have donated 17 items, and your friend will have donated the same number of items.
A student wrote a proof about the product of two rational numbers:
1. Let z = and let y = . where a and c are defined to be integers, and b and d are nonzero
integers.
2. By substitution, ry = d
3. By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product zy?
A. The product zy is rational because it can be written as the quotient of an integer and a nonzero integer.
B. The product zy cannot be an integer because bd is a nonzero integer.
C. The product zy is a nonzero integer because nonzero integers are closed on division.
D. The product zy may be either rational or irrational because the values of a, b, c, and d are unknown.
The product zy is rational because it can be written as the quotient of an integer and a nonzero integer.
The Correct option is (A).
What is Rational Number?A rational number is any number that can be expressed as a ratio (or fraction) of two integers.
Some of the examples of rational numbers are 1/2, 1/5, 3/4, and so on.
Given:
z= a/b and y = c/d
We have also given that a and c are defined to be integers, and b and d are nonzero integers.
So, the product of zy
= ac / bd
Hence, the product zy is rational.
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If a letter is chosen at random from the word education, what is the probability of choosing a consonant? a. 3/9 b. 4/9 c. 5/9 d. 6/9
Answer:
d. 6/9
Step-by-step explanation:
There are 6 consonants in the word education.
5(3 + 5v) = 65
Please help me i’m stuck!!
The value of v from the given equation is 2.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 5(3 + 5v) = 65.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
3+5v=13
5v=13-3
5v=10
v=2
Therefore, the value of v is 2.
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use the first derivative test to find the functions extreme values and to find where the extreme values exist. justify your answer
Answer:
Below ( kinda long)
Step-by-step explanation:
Use fist derivative to find where the derivative = 0
Derivative = 4 x^3 + 12 x^2
set = to zero
4x^3 + 12x^2 = 0
4x^2 ( x + 3) = 0 shows x = 0 or -3
Now take the SECOND derivative
12x^2 + 24x and sub in the values found above ( 0 and -3)
if the result is >0 this point is a local min, if < 0 it is a local max and if = 0 it is neither a min or a max....it is an INFLECTION point
12x^2 + 24x for x = -3 this equals +36 <=====local min
for x = 0 this equals 0 <======inflection point
SO at -3 there is a local min extreme....find the value at -3 :
x^4 + 4x^3 - 2 =
(-3)^4 + 4 ( -3^3) - 2 = - 29 the local min is at (-3,-29)
Please help me I have a learning disability and need help with this.
Define a variable and write the phrase as an algebraic expression.
ten more shoes than Ruben
Let s = Ruben's shoes
What is the phrase as an algebraic expression?
10s
s / 10
s+10
s-10
Answer:
S+10
Step-by-step explanation:
you take what shoes ruban already has and add 10 when its says more it is more that likely a addition
help me pls, thank you!
Answer:
Step-by-step explanation:
Ok, I am assuming you want help on the b) part.
1. False
Some whole numbers are irrational numbers - This is completely false as there is no whole number which is an irrational number. 0, 1, 2 can never be a number with a decimal.
2. True
Some rational numbers are not whole numbers. - This is true. For example, 3/4 is a rational number but it is not a whole number.
3.False
Some irrational numbers are not integers - This is partially false as the wording of the question is wrong. It should be ALL irrational numbers are not integers because an integer cannot have a decimal place.
4. False
All rational numbers are integers - This is again, partially false as the wording of the question is again wrong. It should be SOME rational numbers are integers. For example, 1/2 is a rational number but it is not an integer.
Pls mark as brainliest. Cheers
A B C or B
lols bro
hehe
Answer:
it's A
Step-by-step explanation:
1 3/4 plus 1 1/2 is equal to 3 1/4
A bus accelerates for 25s at a rate of,0.2m/s^2.
By how much does its velocity increase?
The velocity increase of the bus as it accelerated would be = 2 m/s
What is acceleration of a moving object?The acceleration of a moving object is defined as the vector quantity that defines the rate of change of velocity of a moving object with respect to time.
The formula for acceleration= velocity/time. That is;a = v/t
Acceleration = 0.2m/s²
Time = 25secs
velocity = acceleration× time = 25 × 0.2 = 2 m/s.
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Determine whether the following statement is true or false. If it is false, rewnite it as a true statement A sample statistic will not change from sample to sample Choose the correct answer below 。A. The statement is false. A population statistic wil not change from population to population O B. The statement is false. A sample statistic can change from sample to sample ° C. The statement is true O D、The statement is false A sample parameter wil not change tom sample to sample. Click to select your answer alth Mdoc
A sample statistic is a numerical measure of a sample size, and it can vary from sample to sample.
In order to calculate a sample statistic, one must first select a sample. This sample is the group of data points that will be used to calculate the statistic. Once the sample is selected, the data values must be measured and recorded. After that, the data must be organized in whatever way is necessary to perform the calculation. Finally, the calculation can be completed with the appropriate formulas or algorithms. This process must be repeated for each sample statistic that needs to be calculated. Sample statistics can vary from sample to sample because different samples have different values, and the calculation of the statistic will be different depending on the values of the sample.
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Determine all x intercepts, written in interval notation.
Answer:
(-∞, 0]
Step-by-step explanation:
You want the x-intercepts of a function that is zero for x ≤ 0 and 3/2x for x > 0.
X-interceptsThe x-intercepts are the values of x for which a function has the value 0. Here, that is the case for all values of x less than or equal to zero. In interval notation, the x-intercepts are ...
(-∞, 0] . . . . . . non-positive values of x
