Answers:
The house's value decreased by $31,760
The current value is $365,240
===========================================================
Work Shown:
8% of 397,000 = 0.08*397000 = 31,760 is the amount of lost value in the home. In other words, the value has dropped by this much.
The current value is 397,000-31,760 = 365,240
---------------
If you didn't care about how much value was lost, and only cared about the current value, then you can take this slight shortcut
100% - 8% = 92%
92% of 397,000 = 0.92*397000 = 365,240
If the house lost 8% of its value, then it keeps the remaining 92% to be currently valued at $365,240
This shortcut is useful if you wanted to chain together many percentage increases or decreases together.
help pleaseeeeeeeeeeeeeeeeee
chapter 8
5.Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:
50.2655
Step-by-step explanation:
Which number is an irrational number?
O
-233723
9
O -√√3
O 2.56
O 16
√3 is an irrational number as it is non terminating and non repeating number.
Irrational number - In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
They are non terminating and non repeating in nature.
For example 22 / 7 , √ 5 , √ 7 and many more.
Here, √3 is an irrational number as it is non terminating and non repeating number.
Therefore, √3 is an irrational number as it is non terminating and non repeating number.
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Write the formula for the sequence: 10,6.5,3,−0.5,−4...
A. an= 3.5n − 10
B. an= 3.5n- 4
C. an= 10 - 3.5n
D. an= 13.5 - 3.5n
The formula of the sequence is aₙ = 13.5 - 3.5n
How to find the formula for a sequence?The sequence is as follows:
10, 6.5, 3, −0.5, −4...
Studying the sequence, it's an arithmetic sequence.
Therefore, using arithmetic formula,
aₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
common difference = d = 6.5 - 10 = -3.5
a = first term = 10
Therefore, the formula of the sequence is as follows:
aₙ = 10 + (n - 1)-3.5
aₙ = 10 - 3.5n + 3.5
aₙ = 13.5 - 3.5n
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What is the product?
Answer:
24x^4+32x^3+32x^2+16x+10
Step-by-step explanation:
Using distributive property,
1. multiple 4x^2 times (6x^2+8x+5)
2. multiple 2 times (6x^2+8x+5)
3. add them together
24x^4+32x^3+20x^2
+ 12x^2+16x+10
______________________
24x^4+32x^3+32x^2+16x+10
12 push-ups in 2 days = push-ups per day
Answer:
6 push ups per day
Step-by-step explanation:
→ [tex]12 \div 2 = 6~push~ups[/tex]
Answer: 6 push-ups per day
Step-by-step explanation:
12 push-ups/2 days = 12/2 = 6 push-ups each day for 2 days to have 12 push-ups total.
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 5-in squares from each corner. The length of the original piece of cardboard is 10 in more than the width. If the volume of the box is 1875 in3, determine the dimensions of the original piece of cardboard.
The dimensions of the original shapes are 15 and 25 inches respectively
How to determine the dimensionsThe formula for volume of a rectangle is expressed as;
Volume = length × width × height
From the information given, we have;
Length = yWidth = y + 10Height = 5Volume = 1875Substitute the values
1875 = 5 × y × y + 10
Divide both sides 5
1875 / 5 = y(y + 10)
expand the bracket
375 = y² + 10y
y² +10y - 375 = 0
y² + 25y - 15y - 375 = 0
y(y + 25) - 15( y + 25) = 0
y= 15 or y = -25
If y = 15 Inches
Width = 15 + 10 = 25 Inches
Thus, the dimensions of the original shapes are 15 and 25 inches respectively
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Erin wants to create a flower garden in the shape of a triangle. If the triangle has a base of 12 feet and a height of 10 feet, what's the area of the garden?
Answer:
[tex]60cm {}^{2} [/tex]
Step-by-step explanation:
Area for triangle is equal to half base time perpendicular height.
[tex] \frac{1}{2} (10 \times 12)[/tex]
[tex] \frac{1}{2} (120)[/tex]
[tex]60cm ^{2} [/tex]
note that it's 10cm X 12 cm that's how you get cm²
Question 12 *
12. Marcus is building a scale model of a skyscraper using the ratio 2:225. If the width of
the skyscraper is 405 ft, what is the width of the model?
A. 25 ft
B. 3.6 ft
C. 9.0 ft
D. 11.3 ft
Answer:
the answer is 3.6 ft
Step-by-step explanation:
I didn't know how to do it so I looked it up
The concrete foundation of a house requires 15 truckloads of concrete. The concrete was
poured at a depth of 0.5 meters and covered an area of 540 square meters.
a. How many cubic meters of concrete were used?
b. If each truckload was the same size, how many cubic meters did each truck carry?
Answer:
See below
Step-by-step explanation:
Area * thickness = volume
540 m^2 * .5 m = 270 m^3
15 trucks ===> 270 m^3 / 15 trucks = 18 m^3 per truck
Given
m
∠
Q
P
S
=
8
8
∘
m∠QPS=88
∘
m, angle, Q, P, S, equals, 88, degrees
m
∠
R
P
S
=
5
x
+
3
4
∘
m∠RPS=5x+34
∘
m, angle, R, P, S, equals, 5, x, plus, 34, degrees
m
∠
Q
P
R
=
8
x
+
1
5
∘
m∠QPR=8x+15
∘
m, angle, Q, P, R, equals, 8, x, plus, 15, degrees
Find
m
∠
R
P
S
m∠RPSm, angle, R, P, S:
The required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
Given that,
m∠QPS = 88
m∠RPS = 5x+34
m∠QPR=8x+15
The measure of the angle m∠RPS is to be determined.
The angle can be defined as the one line inclined over another line. the measure of an angle is measured in two units of degrees and in radiants.
Here,
m∠QPR = m∠QPS + m∠RPS
8x + 15 = 88 + 5x + 34
8x - 5x = 88 + 34 - 15
3x = 107
x = 107 / 3
x = 35.67
Now,
m∠RPS = 5x+34 = 5 * 35.67 + 34 = 212.35°
Thus, the required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
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An urn contains seven white balls and three green balls. A sample of three balls is selected at random. What is the probability that the sample contains two white balls and one green ball?
the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1 * ^3C_2}{^1^0C_3} = \frac{7*3}{120} = \frac{21}{120} \\[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2 * ^3C_1}{^1^0C_3} = \frac{21*3}{120} = \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3 * ^3C_0}{^1^0C_3} = \frac{28*1}{120} = \frac{28}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0 * ^3C_3}{^1^0C_3} = \frac{1*1}{120} = \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1*^3C_2}{^1^0C_3} =\frac{7*3}{120}= \frac{21}{120}[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2*^3C_1}{^1^0C_3} =\frac{21*3}{120}= \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3*^3C_0}{^1^0C_3} =\frac{35*1}{120}= \frac{35}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0*^3C_3}{^1^0C_3} =\frac{1*1}{120}= \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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3,3,5,6 need to make 3
Answer: (3+3*5):6
Step-by-step explanation:
[tex](3+3*5):6=\\(3+15):6=\\18:6=\\3[/tex]
Answer:
12
Step-by-step explanation:
1. \: 3 + 15 - 6 \\ 2. \: 18 - 6 \\ 3. \: 12
What is 4.5E-11 written in scientific notation
Answer: 4.5 x 10^-11
Step-by-step explanation:
4.5E-11 = 4.5 x 10^-11 ==> 4.5e-11 is basically 10^-11 multiplied by 4.5
For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2
Part c: Is it possible for the company to make a profit of $15,000 ?
It is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.
We know that:
Profit = Revenue - Cost
Here, we have:
Revenue function = 100 x − 0.5 x²
Cost function = 60 x + 300
Profit = $ 15,000
Substituting the values, we get that:
100 x − 0.5 x² - 60 x - 300 = 15,000
40 x - 0.5 x² - 300 = 15,000
80 x - x² - 300 = 15,000
x² - 80 x + 300 + 15,000 = 0
x² - 80 x + 15,300 = 0
No, it is not possible for a company to make a profit of $15,000 as the above equation has no real solution.
Therefore, it is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.
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What is the product in 61.18 -82?
It should be noted that the product of 61.18 and 82 will be 5016.76.
How to calculate the product?It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.
In this case, we want to get the product of 61.18 and 82. This will be:
= 61.18 × 82
= 5016.76
In conclusion, the product of 61.18 and 82 will be 5016.76.
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What is the product of 61.18 and 82?
.A person can travel from NYC to Buffalo by going north 205 miles to Albany and then west 425 miles to Buffalo. A new highway is built to connect NYC to Buffalo.Find how many miles it would take to get from NYC to Buffalo if you traveled the new highway. (*Round to the nearest tenth.)
Answer: 471.9 miles
Step-by-step explanation:
This is a right triangle so a^2+b^2=c^2
205^2=42025
425^2=180625
=222650
sqrt222650 =471.9
There are 13 different types of cookies at the bakery. The baker made 24 of each type of cookie. How many cookies did the baker make in total?
Answer:
312 in total.
Step-by-step explanation:
if 1 type of cookie is 24 cookies. so 13 types of cookies are 312 cookies.l. because 13×24=312
38 - (-74) perform the indicated operation
The result of the arithmetic expression as given in the task content is; 112.
What is the result of.thee indicated operation as in the task content?It follows from the task content that the given expression is; 38 - (-74).
Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.
Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.
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Which function has a range of {y|y ≤ 5}?
f(x) = (x – 4)2 + 5
f(x) = –(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = –(x – 5)2 + 4
The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
This is further explained below.
Which function has a range of {y|y ≤ 5}?Generally, the equation for the function is mathematically given as
f(x)=-(x-4)^2+5
Where
f(x)=-(x-4)^2+5 is a quadratic function. Its graph looks like a parabola. One of the vertices in the graph is (4,5) and opens in a downward direction.
Proving that f(x)=-(x-4)^2+5≤ 5 for all x
[tex]x^2 \geq 0 \Rightarrow(x-4)^2 \geq 0 \\\\-(x-4)^2 \leq 0 \\\\-(x-4)^2+5 \leq 5 \text {. }[/tex]
In conclusion, The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
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a copy machine makes 24 copies per minute how many copies does it make in 4 minutes and 45 seconds
Answer:76 copies
Step-by-step explanation:
hope this helps
I'm having trouble with this problem, if anyone could help I would really appreciate it. Thank you :)
The probability of the event of a wafer to be conforming and from lot A are as follows;
(a) P(A) ≈ 0.15541
(b) P(C) ≈ 0.84
(c) P(AC) ≈ 0.159
(d) P(A|C) ≈ 0.86
(e) P(C|A) ≈ 0.185
(f) E1 and E2 are independent events
How can the probability of an event be determined?Probability is given by the ratio of the number of required outcomes divided by the number of possible outcomes.
(a) The number of wafers from lot A = 79 + 13 = 92
79+13+157+43+260+40 = 592
Which gives;
The probability that the wafer is from lot A is therefore;
P(A) = 92/592 ≈ 0.15541(b) The conforming wafers = 79+157+260 = 496
Which gives;
P(C) = 496/592 ≈ 0.84(c) The conforming wafers in lot A are 79
Therefore;
The probability that the wafer is from lot A and conforming is therefore;
P(AC) = 79/496 ≈ 0.159(d) The probability that the wafer is conforming, given that it is from lot A is therefore;
P(A|C) = 79/92 ≈ 0.86
(e) The number of conforming wafers = 496
The probability that the wafer is from lot A given that it is conforming is therefore;
P(C|A) = 92/496 ≈ 0.185(f) Independent events are events such that the occurrence of one does not impact the probability of the other.
Given that the occurrence of E1 changes the probability of event E2 if the wafer is not replaced, the events are not independent events.
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A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the
price for a student ticket was $5. The register confirms that $974 was taken in.
According to the linear equation, The number of adults tickets are 44 and number of Student tickets are 10.
According to the statement
We have to find that the Linear equation and solve it.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the price for a student ticket was $5. The register confirms that $974.
Then
Let number of adult tickets = x
Let number of student tickets = y
And charity-event manager counted 54 ticket receipts
=> x + y = 54 -(1)
The price for an adult ticket was $21
price for a student ticket was $5
Total Amount = 21x + 5y
The register confirms that $974 was taken in.
=> 21x + 5y = 974 -(2)
The system of equations represents matters :
x + y = 54
21x + 5y = 974
Eq2 - 5 * Eq1
=> 21x - 5x = 974 - 270
=> 16x = 704
=> x = 44
And
44 + y = 54
=> y = 10
The number of tickets are 44 Adults & 10 Student tickets.
So, According to the linear equation, The number of adults tickets are 44 and number of Student tickets are 10.
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HELP THANK YOU VERY MUCH
For which value of x is line N parallel to line M?
Answer:
x=70°
x=109°
Step-by-step explanation:
x+30+80=180
x=180-30-80=70
16.
x=64+45=109°
U(–10,–1) after a rotation 270° clockwise around the origin.
The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).
According to the statement
We have to find that the value of the given points after rotation.
So, For this purpose, we know that the
The definition of a graph is a diagram showing the relationships between two or more things or equation.
From the given information:
The point U(–10,–1) after a rotation 270° clockwise around the origin.
Then
we have to rotate the graph about the clockwise
And when we rotate the graph clockwise the value of the x and y are interchanged and their signs also changed.
Thus, The value on the graph become 1,10.
So, The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).
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-156 - (-4)
Find the difference
Answer:
-152
Step-by-step explanation:
-156 - (-4)
-156+4
= -152
you could also just go into a normal chrome browser at the top and type in -156-(-4) it will give you -152.
The ratio x:y is 3:7
Find the following in terms of x:
a) The HCF of (9y+x) and (3y+4x)
b) The LCM of (9y+x) and (3y+4x)
(a) The HCF of ( 9y + x ) and ( 3y + 4x ) is 11x
b) The LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
The ratio of x and y is given as:
x : y = 3 : 7
Then,
(x / y) = ( 3 / 7)
7x = 3y
(a) HCF of ( 9y + x) and ( 3y + 4x)
Now,
9y + x = 3(3y) + x
9y + x = 3(7x) + x
9y + x = 22x
And;
3y + 4x = 7x + 4x
3y + 4x = 11x
Now, the HCF of 22 and 11 is 11 because 22 = 2 × 11 and 11 = 11 × 1.
Therefore,
HCF of ( 9y + x ) and ( 3y + 4x ) is 11x.
(b) The LCM of (9y+x) and (3y+4x)
We know,
9y + x = 22x and 3y + 4x = 11x
So, LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
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for each final matrix, state the solution.
1 0 0 | 3
0 1 0 | -1
0 0 1 | 8
1 0 -6 | 11
0 1 4 | 7
0 0 0 | -2
1 0 2 | 9
0 1 -8 | 5
0 0 0 | 0
Answer:
Step-by-step explanation:
3TRWRRW
Determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations.
Triangle A B C is rotated about point C and then dilated to form triangle C E D.
Triangle A B C is reflected across point C and then is rotated to form triangle C E D.
Triangles A B C and C E D do not have congruent angle measures.
The diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
How to determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations?From the question, we have the following highlights
The triangles are similar trianglesThe triangles are △ABC and △EDCSimilar triangles do not have to be congruent triangles
This means that if two triangles are similar, then one triangle has been dilated to form the other triangle
This also means that
The corresponding angles of the triangles are equal while the corresponding sides of the triangles are not equal
The transformation that supports the above highlights is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
Hence, the diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
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Answer: A. or the first one.
Step-by-step explanation: TRUST ME! Answer correct on Edge.
My first attempt was wrong but my second attempt was correct.
HELP ME EXTRA POINTS PLSPLSPLS
[tex]\bf \longrightarrow{f(x) = \frac{1}{x - 7} \: \: \: \: , \: \: \: g(x) = \frac{1}{x - 5} }[/tex]
[tex]\bf \longrightarrow{f \circ g = \frac{1}{ \frac{1}{x - 5} - 7} }[/tex]
So we know [tex]\frac{a}{b}[/tex] , b ≠ 0[tex] \bf \longrightarrow{so \: \: x - 5 \neq0 \: \: , \: \: \frac{1}{x - 5} \neq7} \\ \\ \bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \neq0 \: \: , \: \: \frac{1}{x - 5} \neq0 }\\ \\\bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 5 \frac{1}{7} } \\ \\ \bf \longrightarrow{and \: a < b }\\ \bf \longrightarrow{so \: a = 5 \: , \: b = 5\frac{1}{7} }[/tex]