The equation that would be the line of best fit is B. y = 1/50x
How to calculate the valueThe line of best fit is a line that best describes the relationship between two variables. In this case, the two variables are the total number of watches manufactured and the number of defective watches. The line of best fit is determined by finding the line that minimizes the sum of the squared vertical distances between the line and the data points.
The line of best fit for the scatter plot is y= 1/50x. This line passes through the center of the data points, which means that it minimizes the sum of the squared vertical distances between the line and the data points. The slope means that for every 50 watches manufactured, there is one defective watch.
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If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?
Answer:
\(V = 208\,u^{3}\) (Option C)
Step-by-step explanation:
The volume of the composite figure is:
\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)
\(V = 208\,u^{3}\) (Option C)
I need help with conversation rates. So it says
Approximately 30,300 citizens of a country died in an automobile accidents in 2015. Express this toll in deaths per day.
Answer:
144 deaths
Step-by-step explanation:
So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.
30,300/365 = 114.339....
since 3 is not greater than 5, the 144 does not round up but stays the same.
(Since you cannot have a fraction of a death)
114 is your answer
hope this helps :)
PLEASE HELP! I am having trouble answering the last question. Given the function f(x)= -3+3x^2 Calculate the following values
Answer:
\frac{-3 + 3(a + h)^{2} + 3 - 3a^{2} }{h}
Step-by-step explanation:
All you have to do is take your values and plug them in and simplify!
\(\frac{-3 + 3(a + h)^{2} - (-3 + 3a^{2}) }{h}\)
\(\frac{-3 + 3(a + h)^{2} + 3 - 3a^{2} }{h}\)
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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What is the vertex of y = |x-9| +7?
Answer:
Step-by-step explanation:
The vertex (h, k) is always in the format of "x-" so if we have a positive h value for the vertex, it would be written as "x-(h)" and if we have a negative h value for the vertex, it would be written as "x-(-h)" which is the same as "x+h". Since our sign inside the absolute value symbols is negative, the h value for the the vertex is 9. The k value is always what's outside the absolute value symbols, including the sign. Ours is a positive 7. Thus the vertex is (9, 7).
A company makes chocolate candies in a shape of a solid sphere. Each piece of candy has a diameter of 9 centimeters. If a box contains 10 pieces of candy, how much chocolate does the box contain?
Answer:
10
Step-by-step explanation:
the answer is in the question
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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Determine if the expression 5r^4 - 4r^4 s^5 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
Answer:
Step-by-step explanation:
It is a polynomial. A polynomial must have the following properties (among others).
the power must be an whole number.It cannot have a minus power.It can have more than one variable.Degree: So for this example the degree is 4 + 5 = 9. Derived from 4r^4 s^5
There is one isolated - sign with 2 terms on either side of the minus sign.
Type: It is a binomial
Enrique says that to round a decimal to the nearest integer, you can just ignore
the decimal part. Is Enrique correct? Explain.
Answer:
Enrique is correct.
Step-by-step explanation:
An integer is any whole number. Example: 1, 8, 943, -6. If the number is something like 7.5 then it would not be an integer.
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
The height of a door is 1.8 feet longer than it's with its front area is 1496.9 ft.² find the width and height of the door
The width of the door is \(37.8ft\) and the height of the door is \(39.6ft\)
Let
\(A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}\)
From the question
\(A=w\times h=1496.9\\h=w+1.8\)
We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.
Eliminate the height;
\(A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0\)
substitute the value of the front area into the equation and solve for the width
\(w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6\)
the width can only take positive value. Now, to get the height
\(h=w+1.8\\=37.8+1.8\\=39.6\)
the width and height of the door are \(37.8ft\) and \(39.6ft\) respectively.
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Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Mrs. Larson made 12 pillows from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole numbers does your answer lie
Answer:The answer is given by :
[ The amount of material ] / [The number of pillows made ] = 16 / 12 = 4 /3 = ( 1 + 1/3 ) yds per pillow
So the answer lies between the integers 1 and 2
Step-by-step explanation:
.pleaseeeee helppppppp
Answer:
\(4.8038\) or just \(4\) quarts.
Hope this helps!
Which of the following algebraic expressions will NOT correctly calculate
the price (p) of a pair of shoes plus 5% sales tax *
A (1 +05)(p)
B 105% of p
C .05p
D 1.05p
E. P +.05p
Please answer quickly
Answer:
The answerwould be E.) P+.05p
Step-by-step explanation:
PLZ GIVE brainliestttt... quick as i anc
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
Please help I need actual answers and not guesses, thank you
Answer:
-4,-3
Step-by-step explanation:
count the squres from the cordinate, so If you want to go to Q you first have to go to the left 4 times so that -4, then from there you go down 3 time in the negative side there for your answer is -4,-3
Pretty sure this is right
Answer:
-5. -3
Step-by-step explanation:
If u reflect ur literally switchig points q and r so...
Determine the sum by suitable re arrangement .
a) 6254 + 1297 + 446 + 103 Ans:
b) 1983 + 647 + 217 + 353 2.
Answer:
a.8100
b.3200
Step-by-step explanation:
hope you're okay
Factor 36+21. Write your answer in the form a(b+c) where a is the GCF of 36 and 21.
Answer:
3(12 + 7)
Step-by-step explanation:
To find the GCF of 36 and 21, list out their factors.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
21: 1, 3, 7, 21
The greatest factor which both numbers share is 3.
Therefore, you can factor 36 + 21 as 3(12 + 7)
mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called
The function is called deep binding.
In deep binding, When the function is created, It uses the environment.
Shallow binding : In shallow binding, When the function invokes, it uses the environment.
Ad hoc binding : In Ad hoc binding, when the uses called expression in which the procedure is passed as an argument, it uses the environment.
mysub prints the x value residing in sub4 since the value of x in sub2 is bound to the value of the function in which sub2 was called => deep binding
mysub prints the x value residing in sub1 since the value of x in sub2 is bound to the value of the function in which sub2 was defined = > shallow binding
mysub prints the value residing in sub3 since the value of x in sub2 is bound to the value of the function that passed sub2 as an actual parameter => ad hoc binding.
So,
The function is deep binding.
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You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
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Bailey sold 59 flags at a parade. She has 37 flags left. How many flags did she have before the parade
Answer:
98 flags
Step-by-step explanation:
59+37=98
What is the Product?
The product meaning in maths is a number that we get to by multiplying two or more other numbers together.
What is Product?
In mathematics, a product is the outcome of multiplying two or more numbers together.
Let us consider the scenario. A person had to buy 4 cupcakes. Each cupcake costs $5.
To calculate the total amount he needs to pay at the checkout counter, add the cost of each cupcake 4 times (as he needs to buy 4 cupcakes).
So, the answer will be -
5 + 5 + 5 + 5 = 20
If he needed 10 cupcakes, he would have to add the cost 10 times.
This is where the concept of multiplication and product can help him.
He can find the cost as -
4 times 5 or 4 × 5,
He can skip count by 5, four times and get the answer as 20.
Therefore, product is repetition for the sum of numbers.
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One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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Point P please help i appreciate whoever does (:
Answer:
y = (√7)/4
Step-by-step explanation:
The equation of the unit circle is ...
x^2 +y^2 = 1
Putting the given value in for x, we can find y to be ...
(-3/4)^2 +y^2 = 1
y^2 = 1 -(-3/4)^2 = 1 -9/16 = 7/16 . . . . . subtract 9/16
y = √(7/16) . . . . . . . . . . . take the square root; y > 0 here
y = (√7)/4
The average person burns approximately 221 calories per half-hour while bicycling. If a person
does 2 hours of bicycling per day then how many calories will they burn in a week if they work
out 5 days a week?
Find the lateral surface area below given prism:
Answer:
the answer should be 158 but I'm not a hundred percent sure
need help asap. i keep getting these wrong
4x - 10 = 7 - 2x (given)
6x - 10 = 7 (addition property of equality)
6x = 17 (addition property of equality)
x = 17/6 (division property of equality)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the equation:
4x - 10 = 7 - 2x (given)
6x - 10 = 7 (addition property of equality)
6x = 17 (addition property of equality)
x = 17/6 (division property of equality)
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an influencer had 400 subscribers in January. The number of subscribers have grown by a factor of 1.5 every month since then. write a sequence that represents the number of subscribers for the three months that followed (january through april)
Answer:
y=400(1.5)^4
Step-by-step explanation:
Which of the following is the graph of f(x) = -0.5|x + 31-2?
Answer:
0.5x+ 29
Step-by-step explanation:
collect like terms 0.5x+(31-2)
simplify 0.5x+29