solve the equation 1 = 6 (1 - p)
Answer:
p = 0.8333333333
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Answer:
0.833
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Simplifying
p = 0.8333333333
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]
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 :)
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:
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]
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.
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:
A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that __________.
Answer:
Any possible observation and perhaps a research project could show if a given hypothesis seems to be inaccurate.
Step-by-step explanation:
The prediction seems to be the hypothesis because it requires anything other than an assumption. The theory almost all of the moment begins with the problem which would then be discussed throughout context analysis. Only then do investigators or scientists begin to establish observable well as testable theory.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?
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 =)
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.
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 ?
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
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.
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.
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.
How can parallel lines be used to compare figures E and F? Explain your reasoning.
Answer:
The similarities are
1) The length of E and F can be described by two parallel lines spaced 3 blocks apart where the parallel line on the left of both E and F is 2 blocks long, while the parallel line on the right is one block long
2) Both height of E and F can be described by two parallel lines spaced 2 blocks apart where the parallel line on the top of both E and F is 3 blocks long, while the parallel line at the bottom is one block long
3) The interior of E an F can be described by parallel lines 2 blocks long in the horizontal portion and one block long in the vertical portion
The differences are
1) The difference between E and F is that the parallel lines used for the construction of E are all one block higher than that of F
2) The other difference is that all the lines used for the construction of the figure E are 3 blocks to the left of those used for the construction of F
Figure F is essentially the translation of figure E three blocks to right and one block down
Step-by-step explanation:
If the altitudes of two different triangles are in the ration of 2 is to 3 find the ratios of their areas and also the ratio of their corresponding medians
Answer:
The ratio of corresponding sides is 2:3
Step-by-step explanation:
Given, the corresponding medians of two similar triangles are in ratio of = 2:3
We know that,
The ratio of corresponding median = ratio of their corresponding altitude
So the ratio of the corresponding median is equal to the corresponding altitude is 2:3.
So, the ratio of their corresponding sides will also be 2:3.
And the ratio of the area of two triangle = square of the ratio of their corresponding sides.
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:
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
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
The Earth is approximately a sphere of diameter 12742 km. The surface area of a sphere is given by the formula A = 4π r² Calculate the surface area of the Earth. Give your answer in metres squared and in standard form. (Take pi = 3.142) *
Answer:
5.101 x 10^14 m^2
Step-by-step explanation:
First you have to convert km to metres (the final answer must in metres).
So that would be 12742000m. Remember this is the diameter. The radius is half the diameter. So the radius would be 6371000m.
You then put it into the formula: 4 x π x 6371000².
And then you would get the answer: 5.101 x 10^14 m^2
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.
un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿Aquien le corresponde mas?
Answer:
El niño con 14 años es el que tiene más derechos según su edad.
Step-by-step explanation:
Aquí, tenemos un abuelo que quiere compartir una cantidad de dinero entre sus nietos y queremos saber cuál de sus nietos tiene más derecho a este dinero proporcionalmente.
Creo que va a utilizar la edad de los niños como valor de proporcionalidad.
Así, compartiendo la cantidad entre sus hijos, tenemos; 14: 10: 6 que es 7: 5: 3
Entonces, lo que esto significa es que el niño con 14 años tomará 7 de los 15 lugares y es el que tomará la cantidad más alta.
Entonces, usando la edad como criterio, el niño con 14 años tiene más derecho a la cantidad a compartir.
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.
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
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!
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!
HOW DO I SOLVE IT..PLZZ HELP ME OUT
Answer:
help you solve what if you need help finish the question
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.
Learn more about equations from- https://brainly.com/question/10413253?referrer=searchResults
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