If the car gets 32 miles per gallon how much does it cost you to drive 30 miles when gasoline cost 2.55
Answers
Answer:
$2.39
Step-by-step explanation:
30/32* 2.55 = $2.39
The cost to drive 30 miles is $2.39.
Here,
Car gets 32 miles per gallon.
We have to find cost to drive 30 miles when gasoline cost 2.55.
What is Multiplication?
The multiplication of two numbers is called product.
Now,
Car gets 32 miles per gallon.
Cost to drive 30 miles when gasoline cost 2.55 is;
⇒ 30/32* 2.55 = $2.39
Hence, The cost to drive 30 miles is $2.39.
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Related Questions
which of the following is an undefined term?
Answers
Answer: line is the correct answer
Step-by-step explanation:
In math, there are three terms that are “undefined”: point, line, and plane
Answer: b) Line
Step-by-step explanation:
Lines and planes are considered undefined because they contain an infinite number of points. Also, lines and planes have no width or length.
Find the sum of the arithmetic series 8 +13 +...+ 58.
a) 726
Ob) 1914
Oc) 330
d) 363
Answers
Answer:
363 (d)
Step-by-step explanation:
Sum = (a1+an)(n)/2
n = (an-a1)/d +1 = 11
Plug into the sum formula.
Sum = 363
construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
Answers
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?
Answers
Answer:
100 digits
Step-by-step explanation:
One trillion is 10¹², so it adds 12 zeros.
8000 adds 4 digits.
8 trillions add 8·12 = 96 zeros.
So in total you have 96+4 = 100 digits
This number would also be called 8 googol, since 1 googol is 10¹⁰⁰
For the function f(x) = 2x^2-7
f(-2) =
Answers
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is this a rigid motion
Answers
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
A polynomial function g(x) with integer coefficients has a leading coefficient of 15 and a constant term of 3. According to the Rational Root Theorem, which of the following are possible roots of g(x)?
a. 1/3
b. -15
c. -5
d. 5
Answers
9514 1404 393
Answer:
a. 1/3
Step-by-step explanation:
The rational root theorem tells you possible rational roots will be of the form ...
±(factor of 3)/(factor of 15)
Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.
Of these, 1/3 is one of the available choices.
3a? - ab
(if a = -4 and b = -3)
Evaluate each expression using the variable replacement
Answers
Answer:
-21
Step-by-step explanation:
\(3(-3) - (-4 * -3)\\= -9 - 12 \\= -21\)
find the x and y-intercept of this function: 2x+y=-2
Answers
Answer:
x- intercept:(-1,0)
y-intercept:(0,-2)
Step-by-step explanation:
What's the circumference of a
circle with a radius of 22 inches?
Use 3.14 for n.
Answers
Answer:
C
≈
138.23
in
Step-by-step explanation:
I hope it helped
James and Terry open a savings account that has a 2.79% annual interest rate,
compounded monthly. They deposit $500 into the account. How much will be in the
account after 20 years?
Answers
Answer:
The answer should be $279 If im right if not sorry
Step-by-step explanation:
500 x 2.79% x 20 = 279
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
Answers
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
which of the following functions grows fastest? group of answer choices n log n n log n n / log n n - log n n log n
Answers
In the following option n log n seems to grow the fastest amongst all according to the size of inputs.
In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.
In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.
Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.
1. n grows linearly with n, so it takes more time as the size of the input grows.
2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.
3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.
4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.
5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.
So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.
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A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answers
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
An Airplane travels at a constant speed 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?
Group of answer choices
Answers
Answer:
80 miles
Step-by-step explanation:
1 hour is equivalent to 60 minutes. Because 15/60 is just 1/4, 1/4 * 320 is the same as 320 divided by 4. Thus, the answer is 80.
Divide. State the quotient in simplest form.
4x5/ 12x²/
x2_3x-4 3x+3, x ≠ − 1, 4
Answers
The quotient in simplest form is \(x^3 * (x+1)/(x-4).\)
What is fractiοn?A fractiοn represents a part οf a whοle οr, mοre generally, any number οf equal parts. When spοken in everyday English, a fractiοn describes hοw many parts οf a certain size there are, fοr example, οne-half, eight-fifths, three-quarters.
Numeratοrs and denοminatοrs are alsο used in fractiοns that are nοt cοmmοn, including cοmpοund fractiοns, cοmplex fractiοns, and mixed numerals.
In pοsitive cοmmοn fractiοns, the numeratοr and denοminatοr are natural numbers. The numeratοr represents a number οf equal parts, and the denοminatοr indicates hοw many οf thοse parts make up a unit οr a whοle.
Tο divide fractiοns, we invert the secοnd fractiοn and multiply it by the first. Sο:
4x⁵/12x² ÷ (x²-3x-4)/(3x+3)= (4x⁵/12x²) * (3x+3)/(x²-3x-4)
Inverted secοnd fractiοn and multiplied
= (4/12) * (x⁵/x²) * (3(x+1)/(x-4)(x+1))
Factοred the denοminatοr οf the secοnd fractiοn
= (1/3) * \(x^{(5-2)\) * (3(x+1)/(x-4))
Simplified and cancelled οut cοmmοn factοrs\(= (1/3) * x^3 * (3(x+1)/(x-4))= x^3 * (x+1)/(x-4)\)
Therefοre, the quοtient in simplest fοrm is \(x^3 * (x+1)/(x-4).\)
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what number is 3% of 200
Answers
Answer: 6
Step-by-step explanation:
Answer: 3 percent of 200 is 6
Step-by-step explanation:
Can somebody help me me with this math question?
Answers
Answer: CD and FH
Step-by-step explanation:
Skew lines are lines that have NO intersections and are also not parallel, all the other ones are either parallel or have intersections. This one does not. Hope this helps!
Answer:
CD and FH
Step-by-step explanation:
I did it and this was the answer
Evaluate n + 5/5
When n= -10
Answers
Answer:
n + 5/5 = -9
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
If the problem is
(n+5) /5
Let n = -10
(-10+5)/5
-5/5
-1
or if
n+ 5/5
-10 + 1
-9
How many 12th are in 3 and describe situation
Answers
Answer:
1) 36
2) My mom was trying to quiz me and she told me to pick a fraction and a number. I picked 1/12 and 3, she then told me to figure out how many 12ths there are in 3 which I found was 36.
Step-by-step explanation:
3 * 12 = 36
Please assist with this question.
Answers
Answer:
D. \(\frac{-19}{74} +\frac{71}{74} i\)
Step-by-step explanation:
\(\frac{-8+3i}{5+7i} (\frac{5-7i}{5-7i} )\)
\(\frac{-40+56i+15i-21i^2}{25-35i+35i-49i^2}\)
\(\frac{-40+71i-21(-1)}{25-49(-1)}\)
\(\frac{-40+21+71i}{25+49}\)
\(\frac{-19+71i}{74}\)
\(\frac{-19}{74} +\frac{71}{74} i\)
I hope this helps and God bless!
Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
Answers
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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you need 1 1/4 cup of sugar to make 20 cookies to make 12 cookies how much sugar do you need
Answers
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IEnaK9Mnw3ftGn7VoWymvKjzqCukNTp6.png)
Answers
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answers
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
Question 1 of 25
How does the graph of g(x)= x + 4 compare with the graph of the parent
function, f(x) = x?
A. The graph of g(x) is compressed vertically by a factor of 4.
B. The graph of g(x) is shifted 4 units up.
C. The graph of g(x) is shifted 4 units to the right.
D. The graph of g(x) is compressed horizontally by a factor of 4.
← PREVIOUS
SUBMIT
Answers
The graph of g(x) is shifted 4 units up from the parent function
How does the graph of g(x) compare with the parent function f(x)?The equation of the parent function f(x) is given as
f(x) = x
The transformed function is given as
g(x) = x + 4
Substitute the known values in the above equation, so, we have the following representation
g(x) = f(x) + 4 or g(x) = f(x + 4)
This means that the function is shifted to the left by 4 units or it is shifted up by 4 units
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A study found that 50 pedestrians gave more money to a street beggar if the beggar had a cute and hungry-looking dog with them compared to if they were alone. The gender of the pedestrians was also noted. Which of the following sentences describes a simple effects analysis on these data? A The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians B The difference in donations when the beggar had a dog compared to not C Using a graph to do a simple inspection of the mean donations from male and female pedestrians when the beggar had a dog or was alone D The relative difference between male donations and female donations when the beggar had a dog compared to not
Answers
The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.
There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.
Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.
A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."
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The Circle Chart shows the results of a student survey in which 211 students were asked their favorite flavor of ice cream. Favorite ice-cream flavors 12% 12% Vanilla Chocolate 17% 17% Cookies and Cream Strawberry 6% Coffee O Choc Ripple 36% What is the most popular flavor?
Answers
Using percentages we know that the coffee choc Ripple is the most popular flavor with 36% of people liking it.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.
There are several different ways to depict a dimensionless connection between two numbers, including ratios, fractions, and decimals.
To represent percentages, the symbol "%" is typically written after the number.
So, we know that:
Vanilla = 12%
Chocolate = 17%
Cookies and cream strawberry = 6%
Coffee and Choc Ripple = 36%
Since the flavor of coffee and choc Ripple is liked by 36% of the people. Hence, it is the most popular flavor.
Therefore, using percentages we know that the coffee choc Ripple is the most popular flavor with 36% of people liking it.
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Answer:
C
Step-by-step explanation: