Answer:
(a) [tex]f(2) = 81[/tex]
(b) [tex]g(2) = 83[/tex]
(c) Test average for maths class after test 2 is greater
Step-by-step explanation:
Given
[tex]f(x) = 0.5x + 80[/tex]
[tex]x \to g(x)[/tex]
[tex]1 \to 81[/tex]
[tex]2 \to 83[/tex]
[tex]3 \to 85[/tex]
Solving (a): f(2)
We have:
[tex]f(x) = 0.5x + 80[/tex]
[tex]f(2) = 0.5*2+80[/tex]
[tex]f(2) = 1 + 80[/tex]
[tex]f(2) = 81[/tex]
Solving (b): g(2)
From the table:
[tex]g(x) = 83[/tex] when [tex]x = 2[/tex]
So:
[tex]g(2) = 83[/tex]
Solving (c): Which is greater f(2) or g(2)
In (a) and (b),
[tex]f(2) = 81[/tex]
[tex]g(2) = 83[/tex]
Hence, test average for maths class is greater
what is the ratio of 20cm to 1m
9514 1404 393
Answer:
1 to 5
Step-by-step explanation:
20 cm to 1 m = 20 cm to 100 cm = 20 to 100 = 1 to 5
What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the region bounded by the curves y = x and y=x^2?
Answer:
the volume of the solid is [tex]\frac{\pi }{120}[/tex]
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A = [tex]\frac{\pi }{4}[/tex]( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹ [tex]\frac{\pi }{4}[/tex]( x² + x⁴ - 2x³ ) dx
= [tex]\frac{\pi }{4}[/tex] [tex][[/tex] [tex]\frac{x^3}{3}[/tex] + [tex]\frac{x^5}{5}[/tex] - [tex]\frac{2}{4} x^4[/tex] [tex]]^1_0[/tex]
= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{4}[/tex] ]
= [tex]\frac{\pi }{4}[/tex][ [tex]\frac{1}{30}[/tex] ]
V = [tex]\frac{\pi }{120}[/tex]
Therefore, the volume of the solid is [tex]\frac{\pi }{120}[/tex]
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
(c) reflection about x-axis, shift right 1
Step-by-step explanation:
The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.
Here, we have p=-2, h=1, so the graph is ...
reflected across the x-axisvertically stretched by a factor of 2shifted right 1 unitThis collection of transformations matches the 3rd choice.
_____
Additional comment
The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)
Is the figure line symmetric? If yes, how many lines of symmetry does the figure have?
Yes
A.No
B. Yes;3 lines of symmetry
C.Yes;6 lines of symmetry
D.Yes; 12 lines of symmetry
Please help. This is due today
Answer:
yes 6 lines are symmetry
Giải các phương trình sau
√3x-√3=√3
Answer:
2
Step-by-step explanation:
√3x=√3+√3=2√3⇒x=2
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = 2}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{3} x - \sqrt{3} = \sqrt{3} [/tex]
➺ [tex] \: \sqrt{3} x = \sqrt{3} + \sqrt{3} [/tex]
➺ [tex] \: \sqrt{3} x = 2 \sqrt{3} [/tex]
➺ [tex] \: x = \frac{2 \sqrt{3} }{ \sqrt{3} } [/tex]
➺ [tex] \: x = 2[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]
If f(x) is a third degree polynomial function, how many distinct imaginary roots are possible?
Answer:
1, 2, or 3
Step-by-step explanation:
if it's third degree then there must me 1 to 3 roots
hope you find this helpful :)
Answer: 0 or 2
Step-by-step explanation:
took test on edge2020
To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:
Percentile (mg/d)
Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th
84.2 31 43 47 60 79 103 126 141 180
Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (±0.01) and standard deviation (±0.01) of this distribution assuming that the distribution is Normal.
μ = _________
σ = _________
Answer:
[tex]Mean=79[/tex]
[tex]\sigma=30.3951.[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]Age Bracket :19-20[/tex]
[tex]5th\ percentile = 42[/tex]
[tex]50th\ percentile = 79[/tex]
[tex]95th\ percentile = 142.[/tex]
Generally the mean Median and mode of the 50th percentile is are all equal
[tex]Mean=Median=Mode[/tex]
Therefore
[tex]Mean=79[/tex]
Generally for Normal distribution
[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]
[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]
Therefore
[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]
[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]
[tex]\sigma=\frac{142-42}{3.29}[/tex]
[tex]\sigma=30.3951.[/tex]
NO LINKS!!!!
Create a table and graph the function.
1. y = (x + 3)^2 + 2
2. y = 2(x - 2)^2 - 4
Hope this help!!!
Have a nice day!!!
Find the missing length indicated
Answer:
D) 20
Step-by-step explanation:
Answer:
D) 20
Step-by-step explanation:
they are asking for the longest length of the triangle. as you can see, 20 is just over 15, and from the diagram, the missing length is just over 15 so we can apply our knowledge to come to the answer of 20.
What’s the standard form for 1,000,000+80,000+30+3
Answer:
1080033
Step-by-step explanation:
=========================================
Explanation:
1,000,000 = 1 million
80,000 = 80 thousand
Adding those two would get us
1,000,000+80,000 = 1,080,000
Then we change those last two zeros at the end of "1,080,000" to 33 instead to get the final answer 1,080,033. This is done because we're adding 30+3 = 33 at the end.
----------------------
Extra info:
The number 1,080,033 is slightly over 1.08 million1,080,033 = 1 million, 80 thousand, 331,080,033 = one million, eighty thousand, thirty-threeThe use of commas between the words is optional. It's to give a sense of the pacing or pauses when reading out the number.Tom has a steel box that has a capacity of 5 gallons. What is the maximum amount of fluid, in quarts, that this box can hold?
A. 10 qt.
B. 15 qt.
C. 18 qt.
D. 20 qt.
Answer:
d. 20 qt.
Step-by-step explanation:
4 quarts to a gallon so 4x5= 20
4m + 18 is called a
What expression
Constant
Term
Variable expression
Coefficient
Answer and Step-by-step explanation:
4m + 18 is an expression.
This is because it has terms and no equal/inequality sign.
#teamtrees #PAW (Plant And Water)
Answer: Constant
Step-by-step explanation: Its an Constant because every variable is different in the expression.
What is the value of h(2)?
0 -2
0 -11
ОО
O 3
Need help fast!!!
(120+2x)+(70+2x)=15,000
not angles, area. also foiling
Answer:
x =3702.5
Step-by-step explanation:
Given data
(120+2x)+(70+2x)=15,000
Let us open the bracket
120+2x+70+2x=15,000
Collect like terms
120+70+2x+2x=15,000
190+4x=15000
4x=15000-190
4x= 14810
Divide both sides by 4
x=14810/4
x= 3702.5
Hence the value of x =3702.5
36 apples cost $6. how many apples can you buy for $1?
Answer:
16 cents
Step-by-step explanation:
6 divided by 36 = 0.16666667
A website posts evaluations on airlines. It posts the most positive and the most negative comments for each airline. Discuss the usefulness of this feedback for a reader wanting to know about the airline.
choose the correct statement below. SELECT ALL THAT APPLY:
A. The reader can accurately assess the airline based on the posted evaluations.
B. the reader cannot accurately assess the airline because the evaluations are not necessarily representative of all evaluations.
C. the reader cannot accurately assess the airline because the method of choosing the sample is unclear.
D. the reader cannot accurately assess the airline without reading all the evaluations.
Answer:
B. the reader cannot accurately assess the airline because the evaluations are not necessarily representative of all evaluations.D. the reader cannot accurately assess the airline without reading all the evaluations.Step-by-step explanation:
Using the most positive and the most negative comments to evaluate the airlines will not be an accurate measure of the airline because these are not a good enough sample. The opinions of those who fall in-between the most positive and negative should also be included as they could have some vital details as well.
Also, in order to be completely accurate, all the comments of the airline should have been posted because this would represent the entire population of comments and so would give the best assessment.
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
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22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
determine whether the variable is qualitative or quantitative
street name and adress
Answer:
C
Step-by-step explanation:
Street name has nothing to do with numerical values, therefore it cannot be quantitative. If we take the two qualitative answers left, one of them says something about numbers, so it cannot be that one. C is the only one left over after process of elimination.
Dawn has less than $60. She wants to buy 3 sweaters. What price of sweaters can she afford if all the sweaters are the same price? Let s be the price of each sweater. Write this as an inequality.
(s will be the variable)
Answer: s < $20
Step-by-step explanation:
Since Dawn has less than $60 and wants to buy 3 sweaters, then the price of sweaters that she can afford if all the sweaters are the same price will be:
(3 × s) < $60
where,
s = price of each sweater
3s < $60
Divide both side by 3
3s/3 < $60/3
s < $20
The price of each sweater is less than $20
Find the value of the polynomial when x=1 and y=-2
Answer:
the answer is : ................
5
Angles ABC and DBE are vertical angles. If m
A. 180°
B. 38°
C. 52°
D. 128°
Use your graph to find estimates of the solutions to the equation x^2-x-6=-2
9514 1404 393
Answer:
x ≈ -1.5 or 2.6
Step-by-step explanation:
It appears as though your graph crosses the line y = -2 at approximately x = -1.5 and also at x = 2.6.
These are estimates of the solutions to the equation.
x ≈ {-1.5, 2.6}
Answer:
-2 and 3
Step-by-step explanation:
From the graph, the solution is the points where the curve cuts the x axis. From the graph, you can see that the equation cuts the x axis at two points that is at x=-2 and 3.
Hence the solutions to the equation is -2 and 3
Name a pair of complementary angles in the diagram above.
21 and 22
Z2 and 23
24 and 25
0 27 and 29
Answer:
7&9
Step-by-step explanation:
Really, its just because, that's my explanation.
HELP QUICK I NEED ANSWER
Answer:
The answer is 23
Step-by-step explanation:
Answer:
the answer of the question is 23
Use two equations in two variables to solve the problem.
A merchant wants to mix peanuts and cashews, as shown in the illustration, to get 42 pounds of mixed nuts that will be sold at $6 per pound. How many pounds of each should the merchant use?
Answer:
Step-by-step explanation:
If x = -2, y = 3 and t = 2 then (x/y)t =
Answer:
-4/3
Step-by-step explanation:
2(-2/3)
= -4/3
Answer:
[tex]( \frac{x}{y} ) \times t \\ \frac{ - 2}{3} \times 2 \\ = \frac{ - 4}{3} [/tex]
Small circular disks are being cut from thin sheets of steel. The steel weighs 1.6 grams per square centimeter. The disks need to have a diameter of 5 centimeters.
(A) find the area of the disk to the nearest hundredth of a square centimeter. Show the steps in your calculation.
Answer:
[tex]A = 19.63cm^2[/tex]
Step-by-step explanation:
Given
[tex]d =5cm[/tex]
[tex]Weight = 1.6g/cm^2[/tex]
Required
The area (A) of the disk
This is calculated as:
[tex]A = \frac{\pi * d^2}{4}[/tex]
So, we have:
[tex]A = \frac{3.14 * 5^2}{4}[/tex]
[tex]A = \frac{3.14 * 25}{4}[/tex]
[tex]A = \frac{78.5}{4}[/tex]
[tex]A = 19.625[/tex]
[tex]A = 19.63cm^2[/tex] --- approximated
Solve the inequality 0>_3x-2x
Answer:
x<0
Step-by-step explanation:
See image below:)
Find the margin of error for the 95% confidence interval used to estimate the population proportion. )n=460, x=60
A department store buys 100 shirts at a cost of $2000 and sells them at a selling price of $25 each. Find the percent markup.
Answer:
Mark up % = 25%
Step-by-step explanation:
Cost of 100 shirts = 2000
Cost of 1 shirt = 2000/100 = 20
Selling price of 1shirt = 25
[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]