Answer:
Points N and K are on a plane A and plane S ( True )
Points P and M are on a plane B and plane S
Point P is the intersection of line n and line g ( True )
Points M, P, and Q are noncollinear ( True )
Line d intersects plane A at point N.
Step-by-step explanation:
Just took the test and got it right :)
The true are 1, 3, 4 and false are 2, 5.
To choose the statement are true or false.
What is plane?A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.
Given that:
1. Points N and K are on plane A and plane S.
From that points N and K are on the plane A and on the plane S. Thus, this option is true.
2. Points P and M are on plane B and plane S.
From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.
3. Point P is the intersection of line n and line g.
Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.
4. Points M, P, and Q are noncollinear.
It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.
5. Line d intersects plane A at point N.
From the line d intersects plane S at point L, not at point N, then this option is false.
Learn more about plane here:
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Diagram is missing.
Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?
An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?
Answer:
28 tickets were purchased
Step-by-step explanation:
105 centimeters to meters 105 centimeters= __m. _________
Answer:
1.05 meters
Step-by-step explanation:
To convert centimeters to meters, we need to divide the number by 100.
So 105/100= 1.05
Answer:
105 cm = 1.05 m
Step-by-step explanation:
For this problem, it is important to know metric conversions. Metric conversions are based on powers of ten. The prefix centi- means 100 (Like how a century is 100 years), and in the metric system is used to represent one-hundredths.
To convert 105 centimeters to meters, we need to divide by 10^2 or multiply by 10^-2 (both are the same).
So we can say the following:
105 cm * 10^-2 = 1.05 m
Hence, 105 centimeters is 1.05 meters.
Cheers.
find f(1/4)
if f(x)=4x^2-2/3x
please guys explain it to me I cant understand it
Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
helpppp MEEE!!!! Helpp
Answer:
For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)
Step-by-step explanation:
The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.
HOW DO I SOLVE IT..PLZZ HELP ME OUT
Answer:
help you solve what if you need help finish the question
a = cost of one adult’s ticket to the zoo, a-4= cost of one childrens ticket to zoo, 2a + 4(a - 4)=38. write a word problem.
Round 17.834 to the nearest tenth. Your answer
Answer:
Hey there!
17.834 rounded to the nearest tenth is 17.8
Let me know if this helps :)
22-3 (x-70) = x+20
please help
Answer:
x = 53
Step-by-step explanation:
22 - 3 ( x - 70 ) = x + 20 Multiply out
22 - 3x + 210 = x + 20
22 + 210 - 3x = x + 20
232 - 3x = x + 20
232 - 3x + 3x = x + 3x + 20
232 = 4x + 20
232 - 20 = 4x + 20 - 20
212 = 4x
212/4 = 4x/4
212/4 = x
x = 53
Answer:
Step-by-step explanation:22-3(x-70)=x+20
22-3x+210=x+20
22+210-3x+3x=x+3x+20
232=4x+20
4x=232-20
X=53
sry but hop now it's correct
hope that it's correct.plz comment on box if it's incorrect
Please solve this questions step by step
Answer:
I am not solving the questions from 1 to 8 , as they are only simple addition questions.
Answer:
Step-by-step explanation:
Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of
sunglasses. Which is the best estimate for the amount of money Megan has left?
O A. $12
B. $16
C. $20
D. $24
the answer is B. $16.00 because when you do the math it comes up to 15.98
$6 is left with Megan.
What is an equation?An equation is a mathematical statement with equality sign in between two mathematical expressions.
How to solve the problem?Suppose she is left with $x.
Then as per the question
$45.12=$21.25+$7.89+$x
⇒$x=$15.98≈$16
Hence, Megan is left with $16.
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A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction
Answer:
Yes, we agree with her prediction.
Step-by-step explanation:
Given:
Number of sample student = 60
Number of total student = 600
Number of student plan to go college = 675
Sample of student plan to go college = 75%
Find:
Prediction is correct or not
Computation:
Number of student plan to go college in sample = 60 × 75%
Number of student plan to go college in sample = 45
Number of student plan to go college = Number of student plan to go college in sample [900 / 60]
Number of student plan to go college = 45[900 / 60]
Number of student plan to go college = 45[15]
Number of student plan to go college = 675
So,
Yes, we agree with her prediction.
plz help need to finish by 12:00 am
30.
[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]
31.
[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]
32.
[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]
33.
[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]
47. There are 1.7 grams of fat in a
serving. How many grams of fat
are in 0.8 servings?
A 13.6 grams
B 2.13 grams
C 1.36 grams
D 1.26 grams
Answer:
C. 1.36
Step-by-step explanation:
1.7 * 0.8 = 1.36
since there is not a whole serving it's less than 1.7
100 cm is equal to:
A. 0.1 m
B. 1,000 m
C. 10 m
D. 1 m
Answer:
D. 1 m
Step-by-step explanation:
100 cm = 1 m
This is a conversion factor
The answer is D. 1m
100cm = 1m
This is a conversion that a lot of people use to convert meters to centimeters or centimeters to meters.
Best of Luck!
3x+x+4=-20 show work
Answer:
-6
Step-by-step explanation:
3x+x+4=-20
4x+4=-20
4x=-24
x=-6
Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
87 11/14
Step-by-step explanation:
1,229 ÷ 14
It can also be written as
1,229 / 14
14 in 12 is not possible
14 in 122 is 8 remainder 10
The 10 remaining + 9 in the the given expression
14 in 109 is 7 remainder 11
The answer is 87 11/14
87 whole number 11 over 14
1,229 / 14 = 87 11/14
State the corresponding sides and angles.
Answer:
in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
Evaluate the expression for the given values.
MX- y when m=5, X = 3, and y=8
Enter your answer in the box
I NEED HELP
Answer:
mx-y=7
Step-by-step explanation:
mx-y
5*3-8
15-8=7
Please help. Choose the answer that makes the sentence true. (Blank)rational numbers are real numbers. A. All B. Some C. No
which statement about the diagram are true? Check all that apply.
Answer:
M<Jkl=45•
M<mkq+m<pkq=m<pkm
Pk is an angle bisector.
Step-by-step explanation:
can 1.33 be 1.3? i need help quick please!?
Answer:
yes it can be
Answer:
Step-by-step explanation:
1.33 and 1.3 are not the same, although they share the digits 1.3.
1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.
So: 1.33 and 1.3 are in the same ball park, but are not the same.
Write the improper fraction as a mixed number in simplest form 23/6
Answer:
3 5/6
Step-by-step explanation:
Step 1:
23/6 = 3 5/6
Answer:
3 5/6
Hope This Helps :)
Answer:
3 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You multiply 6 and 3 and add 5. It will give you [tex]\frac{23}{6}[/tex]
When cubing a number, you have to...
Answer:
multiply the number its self 3 times , for example 3x3x3=27 = 3^3
Step-by-step explanation:
Answer:
you have to multiply the number by itself 3 times
Step-by-step explanation:
can i get brainliest? i only need 2 more
Sarah is conducting a science experiment. The directions tell her to mix 5 parts of substance A with every 3 parts of substance B . If she uses 15 milliters of substance B how many milliters of substance A should she use ?
2,4,6,8... arithmetic
Answer:
Yes, it is an arithmetic Sequence. Can you explain the question just a tad more
Step-by-step explanation:
The figure below shows a rectangular parking lot.
67 yd
86 yd
What’s the perimeter
Answer:
306 yd
Step-by-step explanation:
[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]
Hope this helps.
Help please what is 50x+25x-10y
Steps to solve:
50x + 25x - 10y
~Combine like terms
75x - 10y
Best of Luck!
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]
Step-by-step explanation:
[tex]50x+25x-10y[/tex]
Let's simplify this. First, we will combine the like terms.
[tex]50x+25x-10y[/tex]
Let's add parenthesis.
[tex](50x+25x)+(-10y)[/tex]
This equals to:
[tex]75x+-10y[/tex]
Hope this helps!
you and some friends have raised $250 to help make a video for a contest. You need $35 to buy video tapes. It costs $45 per day to rent the video camera for the first day and $30 for each additional day. Write an inequality to find the possible numbers of days you can rent the video camera.
Answer:
80 + 30 n ≥ 250
Number of days = 5
Step-by-step explanation:
Given:
Total money = $250
Video tape cost = $35
1st day for camera ranting = $45
Additional daily cost = $30
Find:
Inequality
Number of days
Computation:
Assume number of days = n
So,
35 + 45 + 30 n ≥ 250
80 + 30 n ≥ 250
30 n ≥ 170
n = 5 days
Number of days = 5
Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Answer:
The correct option are;
f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative
Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
Step-by-step explanation:
For the equations f(x) = x² - 4 and g(x) = x - 3, we have;
(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5
At x = 2, we have;
(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3
Similarly, we have;
(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7
At x = 2, we have;
(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3
Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;
a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative
(f ο g)(2) = (g ο f)(2)
Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
(f ο g)(x) = f(g(x)) = 4·x²
(f ο g)(x) = 4·x²
(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²
(g ο f)(x) = 16·x²
∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²
(f ο g)(x) ≠ (g ο f)(x) the function is not commutative.
Answer:
DGiven f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.