The given function is:
\(f(x)\text{ = }\frac{9x^2-3}{3x^2+4}\)Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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write a decimal equivalent to the fraction
\(-\frac{7}{10}\)
9514 1404 393
Answer:
-0.7
Step-by-step explanation:
7 goes in the tenths place. That's what seven tenths means. Of course, the decimal number has the same negative sign.
-0.7
Rodrigo has 50 action figures. He is shipping
them to a friend. He can fit 7 action figures in
a box. How many boxes will he need?
Answer:
8 boxes
General Formulas and Concepts:
Math
Real World ProblemsAnalyzing Word ProblemsPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Let's define what we have:
Rodrigo has a total of 50 action figures7 action figures can fit in 1 boxWe need to find the amount of boxes needed for his entire amount of action figures.
Since we can only fit 7 per box, we need to divide 50 by 7 to find the amount of boxes needed for the total 50:
50 action figures ÷ 7 action figures per box = 7.14286 boxes.
Now, here is the tricky part: we can't have 7 point something of a box, right? There is no such thing as a tenth of a box in the real world.
Therefore, since we need more than 7 boxes, we will have to round up to the nearest whole number, as we can only have 1 box:
7.14286 boxes ≈ 8 boxes.
∴ Rodrigo will need 8 boxes to ship all 50 of his action figures to his friend.
Direct Variation
If y varies as the x² and y = 200 when x = 5, what is the value of y when x = -3?
A. -72
b. 120
c. 72
d. -120
Please select the best answer from the choices provided
Answer:
C. 72
Step-by-step explanation:
I calculated it logically
Please help!!!
Question 7 of 10
Which of the following rational functions is graphed below?
A. F(x)= 4/ x-1
B. F(x)= x+4/ x-1
C. F(x)= x(x-1)/ (x+4)
D. F(x)= x/ (x+4)(x-1)
The rational function graphed in this problem is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
How to define the rational function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:
x= -4 and x = 1.
Hence the denominator of the function is given as follows:
(x + 4)(x - 1).
The intercept is given as follows:
x = 0.
Hence the numerator is:
x.
Thus the function is given as follows:
D. F(x) = x/[(x + 4)(x - 1)]
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State a and d for the arithmetic sequence below:
3,9, 15, 21...
a
d=
Answer:
6 if I am correct I hope this helps
Please help!!! Is the answer 150%? What is the answer if it is not?!?!?!
Answer:
It's 180% :)
Hope this Helps!
Which statement is correct?
1. The range of the graph is all real numbers less than
or equal to 0.
2. The domain of the graph is all real numbers less
than or equal to 0.
3. The domain and range of the graph are the same.
4. The range of the graph is all real numbers.
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable variable x as the number of defective cameras in the sample. What is the probability distribution for x?
The probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
How can we determine the probability distribution for x?Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:
C(8,2) = 8!/(2!×(8-2)!) = 28
So there are 28 possible ways to choose a sample of 2 cameras.
Now, let's calculate the probability of each possible value of x:
When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 0 is:
P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:
C(4,1) × C(4,1) = 4×4 = 16
So the probability of x = 1 is:
P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)
= 16/28
= 0.571
When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 2 is:
P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
Therefore, the probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
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please help if possible show work but if not its fine just help plsssss
Step-by-step explanation:
Number one, 743
× 63
2229
Number four is 2.5/3 (don't trust me too much with this one)
number five, multiply 8.5 by 3 and you'll get 25.5
Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
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Expanded form of 13.028
Answer:
Expanded form of 13.028
Step-by-step explanation:
13028/1000
.
9. Alice bought a round-trip ticket to fly
from Baltimore to Chicago on
SuperAir for $250. That was $16
more than she would have paid on Jet
Airlines, which only offered a one-way
fair. How much did Jet Airlines charge
to fly from Baltimore to Chicago?
Jet Airlines charging $ 234 to fly from Baltimore to Chicago.
Given :
Tickets from Baltimore to Chicago on Super Air is $250
Which is $16 more than Jet Airlines.
Therefore she was going to pay $250 - $16 at the Jet Airlines.
= $ 234
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What is the product?
2 3 4
5 9 -1 -7
11 5 -3
Answer:
-1247400
Step-by-step explanation:
See the Image below:) I believe this is what you are looking for.
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)
Please walk through this with me. I need to find the derivative and also the tangent line of each equation
We have;
Power law;
\(\frac{d(x^{n)}}{dx}=nx^{n-1}\)\(f(x)=\sqrt{x+4}\)\(f^{\prime}(x)=\frac{1}{2}(x+4)^{-\frac{1}{2}}=\frac{1}{2\sqrt{x+4}}\)ii. At P (0,2);
\(f^{\prime}(0)=\frac{1}{2\sqrt{4}}=\frac{1}{4}\)The equation of the tangent line is;
\(\begin{gathered} y-2=\frac{1}{4}(x-0) \\ 4(y-2)=x \\ 4y-8=x \\ The\text{ equation of the line is thus }4y-x-8=0 \end{gathered}\)b.
\(\begin{gathered} f(x)=x^2+x \\ f^{\prime}(x)=2x+1 \\ f^{\prime}(1)=2(1)+1=3 \end{gathered}\)The equation of the tangent line is;
\(\begin{gathered} y-2=3(x-1) \\ y-2=3x-3 \\ The\text{ equation of the line is thus }y-3x+1=0 \end{gathered}\)Which location has the least elevation
Answer:
the Dead Sea has the least elevation.
Estimate the line of best fit using two points on the line (4,6) (9,10)
Answer:
y=4/5x+2 4/5
Step-by-step explanation:
i just took the test
Mrs. Jacobson asked her students to write a word problem that describes the graph below.
Which word problem accurately describes the graph?
Answer:
where's the graph? I can't see it
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation
Answer:permutations
Step-by-step explanation:
A television selling for $940.00 is marked down by 15%. What is the price after the markdown?
Step-by-step explanation:
100%-> 940.00
100%-15%=85%
85%->940.00 ÷ 100 x 85
=799. 00
rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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I will give you the brainliest!!! And 25 points!!!!
Someone solve this for me with explanation please. I need help
The perimeter of the given triangle with given lengths is; 78
What is the perimeter of the triangle?The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.
Now, we are given the triangle as QRS.
We are given that;
A is the midpoint of QR
B is the midpoint of RS
C is the midpoint of SQ
Thus;
QA = RA = 10
BR = SB = 15
SQ = 28
Thus;
Perimeter of Triangle = 2(10) + 2(15) + 28 = 78
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Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Evaluate the expression when c=21 and d=4.
c-5d
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Evaluate the expression when c = 21 and d = 4, c - 5d = ?\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Given,
c = 21d = 4c - 5d = ?Let's solve it now :-
\( \sf \: c - 5d \\ \\ \sf \: Substitute \: the \: values \: of \: c \: and \: d \\ \\ \sf c - 5d \\ \rightarrow \sf(21) - 5(4) \\ \sf \rightarrow21 - 20 \\ = \boxed{\boxed{\bf \: 1}}\)
The value of the expression is 1.