Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given
[tex]x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}[/tex]
[tex]n = 20[/tex]
Required
The IQR
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Calculate [tex]Q_1[/tex]
[tex]Q_1 = \frac{1}{4}(n + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(20 + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(21)th[/tex]
Remove bracket
[tex]Q_1 = 5.25th[/tex]
This means that:
[tex]Q_1[/tex] is the mean of 5th and 6th item
From the given data:
[tex]5th \to 16[/tex]
[tex]6th \to 17[/tex]
So, we have:
[tex]Q_1 = \frac{1}{2}(16 + 17)[/tex]
[tex]Q_1 = \frac{1}{2}(33)[/tex]
[tex]Q_1 = 16.5[/tex]
[tex]Q_1 = 16.25[/tex]
Calculate [tex]Q_3[/tex]
[tex]Q_3 = \frac{3}{4}(n + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(20 + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(21)th[/tex]
Remove bracket
[tex]Q_3 = 15.75th[/tex]
This means that:
[tex]Q_3[/tex] is the mean of 15th and 16th item
From the data:
[tex]15th \to 24[/tex]
[tex]16th \to 26[/tex]
So:
[tex]Q_3 = \frac{1}{2}(24 + 26)[/tex]
[tex]Q_3 = \frac{1}{2}(50)[/tex]
[tex]Q_3 = 25[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 25 -16.5[/tex]
[tex]IQR = 8.5[/tex]
Which of the following should be avoided when proving a trigonometric identity?
Rewriting all expressions in terms of Sine and Cosine.
Factoring
Using a common denominator
Multiplying each side by the same value
This is part of my homework and I can't contact my teacher for it so I need some help
Answer:
cosine
Step-by-step explanation:
fundamental trigonometric identities
A construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The hole
will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide.
The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per
cubic foot. What is the least number of truckloads needed to remove all of the soil?
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Expand and simplify the following expression:
(2x + 1)^2 – (2x + 1)
Answer:
(2x-2)
Explanation:
(2x-1)^2-(2x+1)
(4x-1)-(2x+1)
2x+2 ans
Which statement proves that this angle pair is the Corresponding Angles Theorem.
Criteria Laval
Answer:
its jess
here is ur ans
first option is your answer
• ANGLE 2 AND ANGLE 6 ARE CONGRUENT BECAUSE THEY ARE CORRESPONDING ANGLES.
Select the correct answer. The square of z varies inversely as the square root of e. If z=36 when w=16, what is the value of z when w=81?
a. 54
b. 24
c. 182 1/4
d. 7 1/9
The square of z varies inversely as the square root of e. If z=36 when w=16, then value of z is 24 when w=81.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The square of z varies inversely as the square root of e.
If z=36 when w=16
The value of z when w is 81 we need to find
z²=k/√e
where k is a proportionality constant
36²=k/√16
36²=k/4
Apply cross multiplication
1296(4)=k
5184=k
Now let us find when k is 5184 and w is 81
z²=5184/9
z²=576
Take square root on both sides
z=24
Hence, the value of z is 24 when w is 81.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
eliminate t
If x=2at/(1+t²)
, Y=b(1-t²)/(1+t²)
Answer:
x=2at/(1+t²)
dx/dt =[(1+t²)(2at)'-(2at)(1+t²)']/(1+t²)²
dx/dt=[(1+t²)(2a)-(2at)(2t)]/(1+t²)²
dx/dt=[2a+2at²-4at²]/(1+t²)²
dx/dt=[2a-2at²]/(1+t²)²
y=[b(1-t²)]/(1+t²)
dy/dt=[(1+t²)(b(1-t²))'-b(1-t²)(1+t²)']/(1+t²)²
dy/dt=[((1+t²)(-2bt)-b(1-t²)(2t)]/(1+t²)²
dy/dt=(-2bt-2bt³-2bt+2bt³)/(1+t²)²
dy/dt=(-4bt)/(1+t²)²
dy/dx=(dy/dt)/(dx/dt)
dy/dx=[(-4bt)/(1+t²)²]/[(2a-2at²)/(1+t²)²]
Cancelling common denominator
dy/dx=(-4bt)/(2a-2at²)
dy/dx=(-2bt)/(a-at²)
dy/dx=(2bt)/(at²-a)
Differentiating the above equation
y''=d²y/dx²=D[(2bt)/(at²-a)]
y''=[(at²-a)D(2bt)-(2bt)D(at²-a)]/(at²-a)²
y''=[(at²-a)(2b)(dt/dx)-(2bt)(2at)(dt/dx)]/(at²-a)²
dt/dx=(1+t²)²/(2a-2at²)
y''=[(at²-a)(2b)[(1+t²)²/(2a(1-t²))]-
(4abt²)[(1+t²)²/(2a-2at²)]/(at²-a)²
y''=[(-b)(1+t²)²-(2bt²)[(1+t²)²/(1-t²)]/(at²-a)²
y''=[(-b)(1+t²)²(1-t²)-(2bt²)(1+t²)²]/[(1-t²)(at²-a)²]
y''=[b(1+t²)²(t²-1)-2bt²(1+t²)²]/[(1-t²)(at²-a)²]
Step-by-step explanation:
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
The real solutions of f(x) = 0 are; x=5, x=7 and x=8.
Solutions of the graph of a functionThe real solutions of the graph of the function, f(x) from the given graph is the set of points on which the graph intersects the x-axis.
On this note, it follows that the solutions of the graph of f(x) = 0 are; x=5, x=7 and x=8.
Read more on solutions of a graph;
https://brainly.com/question/11627571
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
Answer:
A and C
Step-by-step explanation:
I got 100% on quiz
Answer:
A and C
Step-by-step explanation:
try it it works
Question 8 of 10
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
6x + 3y = 54
5x + 2y = 43
Answer:
(x, y) =(7, 4)
Step-by-step explanation:
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Which of the following equations represents a parabola that opens up and has a vertex with a negative x-value? A. y=-2x^2+8 B. y=-x^2-5x-4 C. x^2+10x+24 D. x^2-7x+12
Answer:
C
Step-by-step explanation:
Open up = positive number that multiplies x^2
x - value of the vertex = -b/2a
C -> -10/2 = -5
(-0.3)2 ÷ (-0.2)+(-2.56)
Answer:
−0.2542372881
Which statement must be true ?
Answer:
The correct answer is B.
Step-by-step explanation:
The opposite of Square root is squaring, which is ².
Answer:
[tex] \frac{ \sqrt{a} }{ \sqrt{b} } = x \\ [/tex]
squaring both the sides
[tex]{( \frac{ \sqrt{a} }{ \sqrt{b} }) }^{2} = x ^{2} \\ [/tex]
ANSWER :-B. [tex] \frac{ {a} }{ {b} } = x {}^{2} \\ [/tex]
Help with the slop for each one thanks
Answer:
13. zero slope
14. 1/2
15. undefined slope
16.-3/2 slope
Please show process I WILL GIVE BRAINLY
Answer:
your image has the answer
Step-by-step explanation:
you can go type triangle calculator and type in everything
A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of two groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this? (2 points)
This is an experiment because a treatment was applied to a group.
This is an experiment because students were able to choose which group to join. This is a survey because students were randomly assigned to groups.
This is a survey because a treatment was applied to both groups.
Answer:
An essay is, generally, a piece of writing that gives the author's own argument, but the definition is vague, overlapping with those of a letter, a paper, an article, a pamphlet, and a short story. Essays have traditionally been sub-classified as formal and informal. Formal essays are characterized by "serious purpose, dignity, logical organization, length," whereas the informal essay is characterized by "the personal element (self-revelation, individual tastes and experiences, confidential manner), humor, graceful style, rambling structure, unconventionality or novelty of theme," etc.[1]
Essays are commonly used as literary criticism, political manifestos, learned arguments, observations of daily life, recollections, and reflections of the author. Almost all modern essays are written in prose, but works in verse have been dubbed essays (e.g., Alexander Pope's An Essay on Criticism and An Essay on Man). While brevity usually defines an essay, voluminous works like John Locke's An Essay Concerning Human Understanding and Thomas Malthus's An Essay on the Principle of Population are counterexamples.
In some countries (e.g., the United States and Canada), essays have become a major part of formal education. Secondary students are taught structured essay formats to improve their writing skills; admission essays are often used by universities in selecting applicants, and in the humanities and social sciences essays are often used as a way of assessing the performance of students during final exams.
The concept of an "essay" has been extended to other media beyond writing. A film essay is a movie that often incorporates documentary filmmaking styles and focuses more on the evolution of a theme or idea. A photographic essay covers a topic with a linked series of photographs that may have accompanying text or captions.
Contents
1 Definitions
2 History
2.1 Montaigne
2.2 Europe
2.3 Japan
2.4 China
3 Forms and styles
3.1 Cause and effect
3.2 Classification and division
3.3 Compare and contrast
3.4 Expository
3.5 Descriptive
3.6 Dialectic
3.7 Exemplification
3.8 Familiar
3.9 History (thesis)
3.10 Narrative
3.11 Argumentative
3.12 Process
3.13 Economic
3.14 Reflective
3.15 Other logical structures
4 Academic
5 Magazine or newspaper
6 Employment
7 Non-literary types
7.1 Film
7.2 Music
7.3 Photography
7.4 Visual arts
8 See also
9 References
10 Further reading
11 External links
Step-by-step explanation:
What is the first step in evaluating the expression below?
12 + 6 - 4 : (2 + 5)
O Divide 4 by 2
O Add 2 and 5
O Add 12 and 6
O Subtract 4 from 6
Answer:
add two and five is the first step beacuse there in ()
Step-by-step explanation:
Answer:
Parentheses. Add 2 and 5.
Step-by-step explanation:
Use the P.E.M.D.A.S expression. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.) As you can see, there are parentheses in your expression, so use PEMDAS to do order of operations problems like this.
Solve this equation 3-2.7(8-x)=16.5
Answer:
=13 :D
Step-by-step explanation:
Im bIg BrAiN
Answer:
x=13
Step-by-step explanation:
See image below:)
6% of 35000 is equal to:
Step-by-step explanation:
6% of 35000
6/100×35000
=2100
hope it helps you
Step-by-step explanation:2100
Can anyone solve this?
If square C is 64 in^2, then its dimensions are 8 x 8.
If square D is 81 in^2, then its dimensions are 9 x 9.
Since D is bigger than C and I sits in that extra space, then the dimensions of I are 1 x 1.
Since H is smaller than C, specifically I smaller, than its dimensions are 7 x 7.
Then, H and C make up one side of B, so 7 + 8 = 15. The dimensions of B are 15 x 15.
Since E is bigger than D by I, then the dimensions of E are 10 x 10.
If we find the length of the right side (B + C + D), which is 15 + 8 + 9 = 32, then we know that F + E + D must also add up to 32. F + 10 + 9 = 32 || F = 13. The dimensions of F are 13 x 13.
Then, F is E + G, so 13 = 10 + G. G = 3. The dimensions of G are 3 x 3.
Lastly, since we know the side length of the whole square is 32, then A + F must equal 32. 32 = A + 13. A = 19. The dimensions of A are 19 x 19.
A = 19 x 19 = 361 in^2
B = 15 x 15 = 225 in^2
C = 8 x 8 = 64 in^2
D = 9 x 9 = 81 in^2
E = 10 x 10 = 100 in^2
F = 13 x 13 = 169 in^2
G = 3 x 3 = 9 in^2
H = 7 x 7 = 49 in^2
I = 1 x 1 = 1 in^2
Hope this helps!! :)
Lin's meal cost $17.99. She left a tip that was approximately
15% of the cost of her meal. Which amount did Lin leave as
a tip?
Consider this linear function:
y= 1/2x+1.
Plot all ordered pairs for the values in the domain.
D: {-8, -4, 0, 2, 6}
Answer:
(-8,-3)
(-4,-1)
(0,1)
(2,2)
(6,4)
Step-by-step explanation:
One by one, substitue the x values and solve for y
Answer:
negative 4
Step-by-step explanation:
go
What is the area of the polygon given below?
6
14
13
A. 287 square units
B. 195 square units
c. 117 square units
D. 181 square units
PREVIO
Three friends play a game, Jamila has
more points than Carter Carter has 7 more
points than Aisha Jamila has 26 points. Write
and solve an equation to find the number of
points Alsha has.
Answer:Hence.the answer is 14.
Step-by-step explanation:
Got it right on my test
I need help I need this plz
Answer:
The correct answer is 5 2/15
Step-by-step explanation:
Since the numerators on both numbers are opposite, you have to go through an equation to make them equal.
4/5 and 1/3 don't have the same numerator. Because of this, you have to find the least common multiple.
5, 10, 15
3, 6, 9, 12, 15
Now that we found said number, we have to multiply the denominators so they match as well. How we do that is by multiplying the number by how many times the numerator has been multiplied to.
Since 5 had to be multiplied by 3 to get to 15, you would multiply 4 by three, giving you 12/15. Same goes with the other fraction, 3 times 5 got us 15, so we would multiply 1 by 5, giving us 5/15.
Now it's as simple as adding. 12/15 + 5/15 = 17/15, which will make 1 2/15. Add that to the whole numbers you have and you will get 5 2/15. (Note: You cannot simplify 2/15, so you leave it as is)
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Step-by-step explanation:
Edge 2021
Answer: g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
The radius of a circle is 6 kilometers. What is the area of a sector bounded by a 126° arc?
Give the exact answer in simplest form.
____ square kilometers. (pi, fraction,)
Answer:
[tex]12.6\pi\:\mathrm{km^2}\:\text{or }\frac{63}{5}\pi\:\mathrm{km^2}[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] in degrees is given by [tex]r^2\pi\cdot\frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the sector.
What we're given:
[tex]r[/tex] of 6[tex]\theta[/tex] of [tex]126^{\circ}[/tex]Substituting given values, we get:
[tex]A_{sec}=6^2\pi \cdot\frac{126}{360}=\boxed{12.6\pi\:\mathrm{km^2}}[/tex]
The equation of the line that passes through the point (1, 2) and is parallel to the line 3x + 4y = 12.
Answer:
Step-by-step explanation:
We first turn 3x+4y=12 into standard form:
4y=-3x+12
y=-3/4x+3
By knowing the 2nd line is parallel to the first, the slopes are the same:
y=-3/4x+b
Plugging in (5,4) into the equation:
4=-15/4+b
b=1/4
Final equation=y=-3/4+1/4.
[tex]f(x)=2\frac{1}{2} - 3\frac{1}{3}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{f(x) = 2\dfrac{1}{2}-3\dfrac{1}{3}}[/tex]
[tex]\rightarrow\mathsf{y = 2\dfrac{1}{2}- 3\dfrac{1}{3}}[/tex]
[tex]\rightarrow\mathsf{y = \dfrac{5}{2}- \dfrac{10}{3}}[/tex]
[tex]\rightarrow\mathsf{y =( \dfrac{5}{2}\times\dfrac{3}{3}) - (\dfrac{10}{3}\times\dfrac{2}{2})}[/tex]
[tex]\mathsf{5\times3=\boxed{\bf 15}}\\\\\mathsf{2\times3=\boxed{\bf 6}}}\\\\\mathsf{10\times2=\boxed{\bf 20}}\\\\\mathsf{3\times2=\boxed{\bf 6}}[/tex]
[tex]\rightarrow{\mathsf{y =\dfrac{15}{6}-\dfrac{20}{6}}[/tex]
[tex]\rightarrow\mathsf{y = \dfrac{15-20}{6}}[/tex]
[tex]\mathsf{15-20=\boxed{\bf -5}}\\\\\\\mathsf{6= \boxed{\bf 6}}\textsf{ because \underline{6} is the LCD (\underline{L}east \underline{C}ommon \underline{D}enominator}[/tex]
[tex]\boxed{\mathsf{y =\bf -\dfrac{5}{6}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf y = }\mathsf{\bf -\dfrac{5}{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
18
What is the value of x?
3
10
2y + 4
4
6
10 + 2x
8
Answer:
its 4 or B for the value of X