Answers
Answer:
[tex]\huge\boxed{-0.001a^{n+1}}[/tex]
Step-by-step explanation:
[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]
Related Questions
can somebody help me plssssss
Answers
Answer:
They are equal, so =
Step-by-step explanation:
We know that one-half is .50. 3/2 is an improper fraction and when we solve to a decimal, we get 1.5.
In 1950, the group spent 23% of their budget on food. This has decreased
at an average rate of approximately 0.27% per year since then. Find a
linear function in slope-intercept form that models the percentage of total
spending, p(x), by the group x years after 1950.
Answers
The linear function that can be used to model this relationship is:
y = -0.27x + 23
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let P(x) represent the percentage of total spending x years after 1950.
Since In 1950, the group spent 23% of their budget on food, hence b = 23.
Also, this has been decreasing at 0.27% per year. Hence m = -0.27.
The linear function that can be used to model this relationship is:
y = -0.27x + 23
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How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other.
Answers
Answer:
6720.
1680.
Step-by-step explanation:
There are 3 T's and 5 other distinct letters in this word s
The number of arrangements
= 8! / 3!
= 8*7*6*5*4
= 6720 ways.
If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is
(7!/3!) * 2
= 1680 ways.
hsdfhedrjeryeruerueru
Answers
what is that? Or I am not understanding
Write an equation in slope-intercept form of the line shown.
Answers
what are the solutions to the equation (x-2)(x-4)=8?
Answers
Answer:
=
6
=
0
Step-by-step explanation:
The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation (x - 2)(x - 4) = 8.
∴ x² - 4x - 2x + 8 = 8.
x² - 6x = 0.
x(x - 6) = 0.
So, x = 0 Or x - 6 = 0 ⇒ x = 6.
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A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?
Answers
Answer:
23
Step-by-step explanation:
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Is 3 the coefficient of s/3?
Answers
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
s/3
This can be written as (1/3)s.
The coefficients of an equation are the non-zero values along with the variables.
Example:
ax² + bx + 3
The coefficients of this equation are a, and b.
The coefficient for the expression s/3 is 1/3.
Thus,
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
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The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
Answers
9514 1404 393
Answer:
(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Step-by-step explanation:
The slope of the relation for Restaurant A is ...
y/x = 1/10
The slope of the relation for Restaurant B is ...
y/x = 5/25 = 1/5 = 2×1/10
The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.
helppppppppppppppppppppppppppppppppppp
Answers
Answer:
so the answer is bar graph..
What does cross-sectional mean
Answers
Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
I need help as soon as possible please!!!!
Answers
Answer:
Which grade math is this? I haven't learned it
Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)
Answers
well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).
Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a). So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those. Check the picture below.
Write a statement
---------------------------------------------------------------------------------------------------------------------
Answers
9514 1404 393
Answer:
C) ΔDCE ≅ ΔDQR
Step-by-step explanation:
Corresponding vertices can be identified by the number of arcs signifying congruence.
1 mark: angles D and D
2 marks: angles C and Q
3 marks: angles E and R
Corresponding angles are listed in the same order in the congruence statement:
ΔDCE ≅ ΔDQR
Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).
Answers
Answer:
f(g(- 3) ) = - 5115
Step-by-step explanation:
Evaluate g(- 3) then substitute the value obtained into f(x)
g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then
f(- 16) = (- 16)³ - 4(- 16)² + 5
= - 4096 - 4(256) + 5
= - 4096 - 1024 + 5
= - 5115
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answers
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
I need the answers to thisssss?
Answers
Answer:
Step-by-step explanation:
A. Zero Slope: since it is horizontal
B. Positive Slope: since it goes up and to the right
C. Undefined Slope: since it is vertical
D. Negative Slope: since it goes down and to the left
g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2
Answers
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
I NEED HELP ASAP NO LINKS
Answers
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
mark me brainliest :D
someone help please!!
Answers
Answer:
a - 145
b - 35
c - 145
d - 70
e - 70
f - 110
g - 55
h - 125
i - 55
j - 50
k - 50
l - 130
m - 50
n - 80
o - 50
p - 23
q - 89
r - 68
s - 157
t - 112
u - 48
v - 132
w - 132
x - 48
y - 48
z - 132
A - 48
B - 94
C - 86
D - 94
E - 47
F - 133
The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?
Answers
Answer: C.
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year
Answers
Answer:
110.00
Step-by-step explanation:
Explain please :)
A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?
Answers
Answer:
3.49 ft
Step-by-step explanation:
y = 0.125x
y = –16x^2 + 56x
Set the equations equal since the height of the hill
and the height of the ball must be the same
–16x^2 + 56x = 0.125x
Subtract 0.125x from both sides
–16x^2 + 55.875x = 0
Factor out x
x(–16x + 55.875) = 0
From the zero product rule
x = 0
and
–16x + 55.875 = 0
–16x = –55.875
Divide both sides by –16
x = 3.4921875
Diiference in height
3.4921875 - 0 = 3.4921875
3.49 ft
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.
Answers
Answer:
Step-by-step explanation:
A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
What is Ratio?Ratio is a concept in mathematics used to compare two things.
It is denoted by a : b.
A ratio can be represented as fractions also like a/b.
In the question, it is given that the ratio of boys to girls is 3 to 4.
A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
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a store pays $26 for a lamp. The store marks up the price by 40%. What is the amount of the markup
Answers
Answer:
$10.4
Step-by-step explanation:
mark me brainliest if u are kind
What the difference between Infinity and undefined
Answers
Step-by-step explanation:
Infinity means that it has no end to something
And undefined means something can't be defined
Answer:
Undefined means, it is impossible to solve.
Infinity means, it is without bound.
Jon wants to earn at least $75,000 a year and live in a posh urban setting. James’s career plan includes earnings of $35,000 a year and simple, cheap living conditions. Whose lifestyle expectations are better?
Both are equally valid, they just have different preferences.
James’s, because he has more realistic expectations.
Jon’s, because he will have a higher quality of life
It depends on their career goals and family plans.
Answers
Answer:
Jon’s, because he will have a higher quality of life
Step-by-step explanation:
James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.
Answer:
Step-by-step explanation:
James
What is the equation of this line?
Answers
Answer:
y = x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then
y = x ← equation of line
how would someone simplify 2√12xy^2
Answers
Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Answers
Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.
Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?
[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]
now, if we were to round that up to whole miles, it'd be only 117.