Answers
Answer:
A
Step-by-step explanation:
So whenever you're finding the difference between two numbers you generally use the equation: |a-b| since a-b may or may not be negative, but |a-b| will always equal |b-a|. Since the only thing that differs is the sign. So when you have: [tex]|-\frac{2}{3}-\frac{5}{3}|[/tex], in this case a=-2/3 and b=5/3 (b is positive since you're subtracting b, so if b appeared positive in the equation, it's actually negative, since the negative sign in |a-b|, which would make the two negatives cancel out). This means A is the correct answer. You could also calculate what the value is. Calculating gives you: [tex]|-\frac{7}{3}| = \frac{7}{3}[/tex]. And as you can see the top one, has two numbers separated by 7 one thirds.
Answer:
A
Step-by-step explanation:
It is absolute value and when it is absolute value, it is positive.
Related Questions
You enter a room. 2 dogs, 4 horses, one giraffe, and a duck are laying on a bed. 3 chicken are flying over a chair. How many legs are on the ground?.
Answers
Answer: the answer is 28
Step-by-step explanation:
vincent ordered pizza for him and his wife for dinner. when they had finished, they realized that 5/8 of the pizza was gone. for lunch the next day, vincent decided to eat 1/4 of what was left. how much was left after lunch?
Answers
Answer:
1/8 of the pizza
Step-by-step explanation:
whole pizza=1
5/8 is gone so 1-5/8=8/8-5/8=3/8
3/8-1/4 = 3/8-2/8=1/8
hope this helps
Which explicit formula is equivalent to a1 = 1, an = -6an-1
Answers
The explicit formula that is equivalent to aₙ = -6aₙ₋₁ is; aₙ = 1(-6)ⁿ⁻¹
What is the explicit formula?We are given;
a₁ = 1
aₙ = -6aₙ₋₁
Thus, for second term;
a₂ = -6a₁
a₂ = -6
For the third term;
a₃ = -6a₂
a₃ = 36
The resulting sequence is 1, -6, 36,......
The sequence is a geometric sequence with;
a = 1
r = -6
The explicit rule will be aₙ = 1(-6)ⁿ⁻¹
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The interior angle of a regular polygon is twice the exterior angle how many sides has the polygon
Answers
Answer:
6 sides
Step-by-step explanation:
the interior angle + the exterior angle = 180°
let x be the exterior angle then 2x is the interior angle and
x + 2x = 180
3x = 180 ( divide both sides by 3 )
x = 60
the exterior angle = 60°
the sum of the exterior angles of a polygon = 360°
since the polygon is regular the the exterior angles are congruent, then
number of sides = 360° ÷ 60° = 6
Please help ill give whoever answers the best the brainliest answer :)))
Answers
Answer:
w(w-5)
Step-by-step explanation:
Given Width of rectangle = w
Length of rectangle is 5 less than width of rectangle = w - 5
Area of Rectangle = Length x Width = w * w-5 = w(w-5)
Answer:
the second answer option
Step-by-step explanation:
the area of a rectangle is
length × width
or
l × w
l = w - 5
so, when we use the second in the first equation, we get
(w - 5)×w
or
w(w - 5)
Triangle ABC is isosceles.
Triangle A B C. Angle A is x degrees, angle B is 118 degrees, angle C is x degrees. Sides A B and B C are equal.
Which equation can be used to find the degree measure of Angle A?
118 = x + x
x + x + 118 = 180
118 + 180 = x + x
(x + x) minus 118 = 180
Answers
Step-by-step explanation:
118+2×=180
180-118=62
62÷2(×)=31
×=31
Answer:
x + x + 118 = 180
Step-by-step explanation:
...........
Jorge wants to determine the enlarged dimensions of a digital photo was 800 pixels high. The new photo will be 1,260 pixels wide .what will the new height be
Answers
The height of the new photo must be 945 pixels (option B).
How to calculate the width of the new photograph?To calculate the height of the photograph, we must first know what proportion the sides of the previous photo have, for this we do the following operation:
600 × 100 = 60,00060,000 ÷ 800 = 75According to the above, the height of the photo is equal to 75% of the width. So to find the height of the new photograph we must do the following operation:
1.260 ÷ 100 = 12.612.6 × 75 = 945So the height of the new photo should be 945 pixels.
Note: This question is incomplete. Here is the missing part:
Question
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be?
Options
460 pixels
945 pixels
1,680 pixels
1,860 pixels
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. 40% of students passed 90% students attended class 30% both passed and attended class martin was selected at random he attend class daily determine the probability that he passed the exam
Answers
Probability that Martin passed the exam when he attend the class daily is given by 1/3.
Probability is the possibility to occurrence of an event.
In other words, Probability is the ratio of number of favorable cases under an event to total number of cases under that event.
Let P be the event that Martin passed the exam and A be the event that he attend the class daily.
Given that,
40% of students passed tbe exam.
The probability to pass the exam is given by,
[tex]P(P)=40%=\frac{40}{100}=\frac{4}{10}[/tex]
90% students attend the class daily
probability to attend the class daily is given by,
[tex]P(A)=90%=\frac{90}{100}=\frac{9}{10}[/tex]
30% student both passed the exam and attended class
So probability to both passed the exam and attend the class is given by,
[tex]P(P\cap A)=30%=\frac{30}{100}=\frac{3}{10}[/tex]
Now conditional probability that Martin will passed the exam if he attend class daily is given by,
[tex]P(P|A)=\frac{P(P\cap A)}{P(A)}=\frac{\frac{3}{10}}{\frac{9}{10}}=\frac{3}{9}=\frac{1}{3}[/tex]
Hence the required pobability that Martin passed the exam when he attend the class daily is given by 1/3.
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The graph shows a vertical translation of y=√x
4
3-
2
1+
-10-8-6-4-2₁- 2
What is the range of the translated function?
O {vly < 0)
O {vly 20}
Oyly is a natural number)
Oyly is a real number)
4
Answers
The range of the cubed root of x is all real numbers.
Graphically
The height of this function will start at - infinity and continue to infinity.
(look at the vertical growth of the graph. It will keep going down and will also keep growing forever)
Algebraically
Nothing will "break" this function as it is a cubed root. Thus the output (range) could be anything
Can someone help me out on this problem
Answers
The correlation is a strong negative correlation, because as the weights increases the city MPG decreases
The graph of the table of valuesTo do this, we plot the weights on the x-axis, and the city MPG on the y-axis
See attachment for graph
Type of correlationThe correlation is a strong negative correlation, because as the weights increases the city MPG decreases
The equation of the line of best fitTo do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
Sum of X = 463Sum of Y = 388Mean X = 28.9375Mean Y = 24.25Sum of squares (SSX) = 862.9375Sum of products (SP) = -857.75The line of best fit equation is
y = bx + a
Where
b = SP/SSX = -857.75/862.94 = -0.99399
a = MY - bMX = 24.25 - (-0.99*28.94) = 53.01354
So, we have:
y = -0.99399x + 53.01354
Approximate
y = -0.99x + 53
Hence, the equation of the line of best fit is y = -0.99x + 53
The weight for 30 MPGThis means that y = 30
So, we have:
-0.99x + 53 = 30
Subtract 53 from both sides
-0.99x = -23
Divide by -0.99
x = 23.23
Approximate
x =23
Hence, the predicted weight is 23 pounds
The city MPG for 1500 poundsThis means that x = 1500
So, we have:
y = -0.99 * 1500 + 53
Evaluate
y = -1432
Hence, the city MPG for 1500 pounds is -1432
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If a coin is tossed, a die is rolled, and a candy is taken from a dish of 20 candies, 7 of which are red, what is the probability of getting a red candy, a heads, and a 2 on a 6-sided die?
ANSWER OPTIONS:
0.0167
0.29167
1.0167
0.029167
Answers
Answer:
B
Step-by-step explanation:
7/20 x 1/2 x 1/6
In the parallelogram below, solve for x and y.
I have y but i can’t figure out x
Answers
Step-by-step explanation:
how did you get y, when you don't know how to get x ?
the easiest way to solve this is to base on the fact that the opposite angles must be identical.
so,
2x + 32 = 4x - 12
32 = 2x - 12
44 = 2x
x = 22
and the to be sure
-8y - 14 = -5y + 4
-3y = 18
y = -18/3 = -6
or, the sum of 2 consecutive angles must be 180°.
2x + 32 - 5y + 4 = 180
2x - 5y + 36 = 180
2x - 5y = 144
-8y - 14 + 4x - 12 = 180
-8y + 4x = 206
-4y + 2x = 103
-5y + 2x = 144
- -4y + 2x = 103
------------------------
- y 0 = 41
y = -41
-4×-41 + 2x = 103
164 + 2x = 103
2x = -61
x = -30.5
ha, your teacher either set a trap or made a mistake.
these given angles do not belong to a parallelogram.
there is no solution for x and y with these angle expressions to create a parallelogram.
every condition that has to be true creates a different and inconsistent set of solutions (and implausible ones at that creating single angles larger than 200° and even 300°, or smaller than 0°).
(-1,8) and (8,5). this is a coordinate distance wuestion that i rly need help on
Answers
Answer:
3[tex]\sqrt{10}[/tex] ≈ 9.45
Step-by-step explanation:
calculate the distance d between the points using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (8, 5 )
d = [tex]\sqrt{(8-(-1))^2+(5-8)^2}[/tex]
= [tex]\sqrt{(8+1)^2+(-3)^2}[/tex]
= [tex]\sqrt{9^2+9}[/tex]
= [tex]\sqrt{81+9}[/tex]
= [tex]\sqrt{90}[/tex]
= [tex]\sqrt{9(10)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex]
= 3[tex]\sqrt{10}[/tex] ← exact value
≈ 9.49 ( to 2 dec. places )
What is the constant rate of change of the table below? Please help
Answers
Answer:
4 m/s
Step-by-step explanation:
Well the constant rate of change can be defined as the slope or rise/run. This can be calculated using any two points. So I'll use (10, 40) and (20, 80). the seconds increased by 10 (run) and the meters increased by 40 (rise) This gives you the equation 40/10 which simplifies to 4. That is the constant rate of change
what does 4r-8=6r+14 equal to?
Answers
Answer:
r is -11
Step-by-step explanation:
Move the like terms to the same side. 4r-6r is -2r
14 + 8 is 22
22/-2 is -11
The French army stayed behind in Egypt—and so did the scholars. In late August, shortly after Napoleon's departure, a large, heavy package arrived at the scholars' palace in Cairo. When they opened it, they found it contained a black stone slab covered with writing in three different scripts.
A note from a French army officer accompanied the package. He told the scholars that the stone had been unearthed in an old fort near the town of Rosetta, thirty-five miles north of Alexandria. French soldiers were tearing down a ruined wall in the fort when they came upon the slab.
Which statement accurately describes a cause-and-effect relationship described in this excerpt?
Because Napoleon departs for France, the French army and scholars decide to stay in Egypt.
Because the French army and scholars decide to stay in Egypt, Napoleon decides to depart for France.
Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.
Because the French soldiers are searching for the Rosetta Stone, they tear down a ruined wall in a fort.
Answers
The statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.
What is a cause-and-effect relationship?A cause-and-effect relationship occurs when:
Two events occur at the same time and in the same place.One event immediately precedes the other.The second event appears unlikely to have happened without the first event occurring.Thus, the statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.
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How do you simplify 6 by the power of negative 2 multiplied by 6 by the power of 3
Answers
Answer:
Keep in mind the rules.
When we multiply terms with same bases we keep one base and add the exponents.
Step-by-step explanation:
[tex] = {6}^{ - 2} \times {6}^{3} \\ = { 6}^{ - 2 + 3} \\ = {6}^{1} \\ = 6[/tex]Hope this helps.Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. How many prime numbers are divisors of $6n$
Answers
The number of prime divisors of "6n" is 2 numbers 2 and 3
Given
"n" = 6
thus 6n = 6(6) = 36
The positive divisors are 1, 2, 3, 4, 6, 9, 12, 18 and 36
So, the number of prime divisors of "6n" is 2 numbers 2 and 3.
The prime factors of a positive integer are the top numbers that divide that integer exactly. The technique of finding those numbers is known as integer factorization or prime factorization.
The fundamental theorem of mathematics says that every positive integer has a completely unique prime factorization.
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A spherical ball is inflated so that it’s radius increases in the ratio 4:3. Find the ratio in which it’s volume is increased
Answers
Answer:
64:27
Step-by-step explanation:
If the ratio between the old and new radius is described with the ratio: 4:3, then if the first radius was 3, then the new radius is 4.
Also if you multiply 3 by (4/3) it also equals 4
The volume of a sphere is described as: [tex]\frac{4}{3} \pi r^{3}[/tex]
So let's plug in 3 and 4 and see their ratio.
[tex]\frac{\frac{4}{3}\pi 4^{3} }{ \frac{4}{3}\pi 3^{3} }} = \frac{4^{3} }{3^{3} } = \frac{64}{27}[/tex]
The answer is 64/27 or (4/3)^3
Answer:
by a factor of 64/27 or 64:27
Step-by-step explanation:
Volume of a sphere = 4/3 pi r^3
now increase the radius by 4/3 ( this is 4:3)
new volume = 4/3 pi (4/3 r)^3
= 64/27 * 4/3 pi r^3
so the original volume is increased by 64/27
(x + 1 < 4) ∩ (x - 8 > -7).
Answers
The correct answer is x = 2
Inequality(x + 1 < 4) ∩ (x-8>-7)
Make x the subject in each case:
(x<4-1)(x>-7+8)
(x<3)∩(x>1)
If x<3, then x could be 2, 1, -1, etc.
If x>1, then x could be 2, 3, 4, etc.
Thus (x<3)∩(x>1) = 2
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Answer:
x = 2
Step-by-step explanation:
Hello!
We are looking at the intersection of two sets, or common values found between two sets of data.
We can solve for x on each side and find any common values between.
Find the Intersection[tex](x + 1 < 4) \cap(x - 8 > -7)[/tex][tex](x < 3)\cap(x > 1)[/tex][tex](x = 2, 1, 0, -1, -2...)\cap(x = 2, 3, 4, 5, 6...)[/tex][tex]x = 2[/tex]As you can see, the intersection occurs at the common values. The only value that is common between the two sets is 2.
Therefore, the intersection of these sets is 2.
what is the rule for the following geometric sequence? 64, -32,16,-8
Answers
The rule is n/(-2)
What is geometric Progression?A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.
Given:
64, -32,16,-8
r= 64/-32
r= -2
again, r= -32/16
r= -2
By above we concluded that the common ratio is is -2.
If n is natural numbers for finding geometric progression the rule which defines it n/(-2).
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Y<2/3x+2
A. (0,3)
B. (-3,1)
C. (3,5)
D. (1,2)
Answers
The ordered pair on the inequality y < 2/3x + 2 is D. (1,2)
How to determine the ordered pair?The inequality is given as:
y < 2/3x + 2
Next, we test the options:
A. (0,3)
3 < 2/3 * 0 + 2
3 < 2 --- false
B. (-3,1)
1 < 2/3 * -3 + 2
1 < 0 --- false
C. (3,5)
5 < 2/3 * 3 + 2
5 < 4 --- false
D. (1,2)
2 < 2/3 * 1 + 2
2 < 2.67 --- true
Hence, the ordered pair on the inequality y < 2/3x + 2 is D. (1,2)
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Graph the image of this figure after a dilation with a scale factor of 12centered at the point (−3, 0)
Answers
Answer:
bro tbh just use like or
Step-by-step explanation:
its not that deep
PLEASE HELPP I NEED ASAP
Answers
Answer:
[-6, -2](-2, 1](1, 5]Step-by-step explanation:
The question is asking you to identify the domain for each of the parts of the piecewise-defined function. This means you need to identify the corresponding part on the graph, and determine its horizontal extent.
ObservationThe first step in solving a problem is to look at the given information. The graph is shown as three (3) non-overlapping horizontal line segments. The open- or filled-circle end points tell you whether that x-value is part of the line segment.
The blanks in the function definition are where the domain descriptions go for the piecewise-defined function. This means you have to match the function description to the left of "if x ∈" with the set of x-values it corresponds to. The "x ∈" notation suggests you want to specify the domain in "interval notation," rather than as an inequality.
Bottom pieceThe first part of the function definition is ...
f(x) = -4
This matches the horizontal line segment at the bottom of the graph. The closed dots at its ends mean it is defined for ...
-6 ≤ x ≤ -2
In interval notation, a square bracket is used when the end point is included in the interval.
f(x) = -4 if x ∈ [-6, -2]
Middle pieceThe second part of the function definition is ...
f(x) = -3
This matches the horizontal line segment in the middle of the graph. The open dot at the left end, and the closed dot at the right end mean it is defined for ...
-2 < x ≤ 1
We use a round bracket (parenthesis) when an end point is not included in the interval.
f(x) = -3 if x ∈ (-2, 1]
Top pieceThe third part of the function definition is ...
f(x) = 4
This matches the horizontal line segment at the top of the graph. The open dot at the left end, and the closed dot at the right end mean it is defined for ...
1 < x ≤ 5
In interval notation, this is ...
f(x) = 4 if x ∈ (1, 5]
What is the tangent
ratio of angle C₂ ?
Answers
Answer:Tangent ratio of an angle
Step-by-step explanation:
Tangent ratio of an angle the ratio of the length of the opposite side of an angle divided by the length of the adjacent side.
helllppppppppppp please
Answers
Answer:
h = 5t
Step-by-step explanation:
So basically, its a slope problem again. You are trying to find the equation that equals hits. So you can cross off t = 5h and t = h + 5. So now, you need to find the most reasonable answer by calculating the slope.
If you try h = t + 5,
Put in 3 - you get 8
Put in 7 - you get 12
But on the table you get 15, 36 respectively.
If you try h = 5t,
Put in 3 - you get 15
Put in 7 - you get 35
Which is much closer to the numbers in the table, therefore it is the answer.
Which number is equal to –906,060? –9.0606 times. 105 –9.06 times. 105 9.06 times. 10–5 9.0606 times. 10–5
Answers
Answer:
I don't understand the formatting of the possible answers. Below is a solution.
Step-by-step explanation:
906,060 is the same as 9.0606 x 10^5
The given number is equal to [tex]-9.0606 * 10^5[/tex]
What is Scientific notation ?Scientific notation is a way to write numbers in an abbreviated way, making it easier to work with these numbers.
Why should we use Scientific notation ?The primary reason for converting numbers into scientific notation is to make calculations with unusually large or small numbers less cumbersome. Because zeros are no longer used to set the decimal point, all of the digits in a number in scientific notation are significant.
A widely used floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10
Converting –906,060 into scientific notation, we get
-906060/100000
= - 9.06060*10^5
Thus, The given number is equal to -9.06060*10^5
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A rectangular quilt is to be made so that the length is 1.2 times the width. The quilt must be between 72ft^2 and 96ft^2 to cover
the bed. Determine the restrictions on the width so that the dimensions of the quilt will meet the required area.
Answers
W is the width of the quilt, the restrictions are given by the inequality:
7.7ft ≤ W ≤ 8.9 ft
How to determine the restrictions on the width?
Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we know that:
L = 1.2*W
Replacing that we get:
A = 1.2*W²
And we know that the area must be between 72 square feet and 96 square feet, then:
72ft² ≤ 1.2W² ≤ 96ft²
Now we can divide all by 1.2:
(72ft²)/1.2 ≤ W² ≤ (96ft²)/1.2
60ft² ≤ W² ≤ 80ft²
If we apply the square root in the 3 sides of the inequality, we get:
√60ft² ≤ √W² ≤ √80ft²
7.7ft ≤ W ≤ 8.9 ft
These are the restrictions on the width such that the quilt will meet the required area.
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y + 3x ≤7
solve it…… …
Answers
Answer:
[tex]x \leq \frac{7 - x}{3}[/tex]
Step-by-step explanation:
This expression is an inequality which is a relation that makes a non-equal comparison between two numbers/expressions
we want x to be alone in one side, y + 3x ≤ 7
Subtract y from both sides,
y + - y + 3x ≤ 7 - y
3x ≤ 7 - y
divided both sides by 3 to get x alone
3x / 3 ≤ 7 - y / 3
x ≤ 7 - y / 3
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I need answer quickly
Answers
Answer:
√85
Step-by-step explanation:
a² + b² = c²
6² + b² = 11²
36 + b² = 121
b² = 121 - 36
b² = 85
b = √85
Answer:
Hello! The answer is [tex]b = \sqrt{85}[/tex].
Step-by-step explanation:
To solve this question, we have to use the Pythagorean theorem. We are given one of the legs and the hypotenuse. (The hypotenuse is opposite the right angle).
a^2 and b^2 represent our legs while c^2 represents the hypotenuse.
We have to substitute our values in for a^2 and c^2:
6^2 + b^2 = 11^2
This leaves us with 36 + b^2 = 121
To get b^2 by itself, we have to subtract 36 from both sides:
36 + b^2 = 121
-36 -36
This leaves us with b^2 = 85
To get just b, we have to take the square root:
√b^2 = √85
This leaves us with [tex]b = \sqrt{85}[/tex].