The slope of the equation of the line described is equal to 1/3.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.y + 2 = 1/3(x-8)
y + 2 = 1/3x - 8/3
y = 1/3x - 8/3 - 2
y = 1/3x - 2/3
Therefore, the slope of the equation of the line described is equal to 1/3.
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Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5
0-3 1/
03
07
we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.
We are given an expression:
a³ - b³
The absolute value of the expression will be:
| a³ - b³ |
Now, we have a = 2 and b = - 3
So, substituting the values in the expression, we get that:
| a³ - b³ |
| ( 2 ) ³ - ( - 3 )³ |
| 8 - ( - 27 ) |
| 8 + 27 |
= | 35 |
= 35
Therefore, we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.
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What affect does an outlier have on a box plot?
Answer:
The outliers affect the mean, median, and other percentiles
Step-by-step explanation:
Because extreme points are highlighted in a box plot, it is simple to identify data points for further investigation. You may discover that the outliers are errors in your data or that they are unusual for another reason.
Please help will give points
Answer:
Step-by-step explanation:
its dees nuts with the D
simplify: 18 + 7 / 10 -16 +26 /6
A. -25 /6
B. -5 / 6
C. 5 / 6
D. 25 / 6
The simplified form is 18 + 7 / 10 -16 +26 /6 is mathematically given as
-9/2
This is further explained below.
What is the simplified form is 18 + 7 / 10 -16 +26 /6 ?Generally, the equation for the expression is mathematically given as
[tex]\frac{ 18 + 7}{ 10} -\frac{16 +26}{6}[/tex]
Therefore
Add 18 and 7.
[tex]\frac{25}{10}-\frac{16+26}{6}[/tex]
[tex]$\frac{5}{2}-7$[/tex]
To write -7 as a fraction with a common denominator, multiply by 2/2.
[tex]\frac{5}{2}-7 \cdot \frac{2}{2}[/tex]
Combine -7 and 2/2
[tex]\frac{5}{2}+\frac{-7 \cdot 2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{5-7 \cdot 2}{2}[/tex]
Simplify the numerator.
-9/2
Move the negative in front of the fraction.
Decimal Form:
-4.5
In conclusion, The simplified for is 18 + 7 / 10 -16 +26 /6
-9/2
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Divide the numerator and denominator of 63 39 | by 3 . Equivalent Fraction
Step-by-step explanation:
did I understand this correctly ?
the fraction is 63/39 ?
and you need help to divide both numbers by 3 ? really ?
63/3 = 21
39/3 = 13
so the equivalent fraction is
21/13
convert this rational number to its decimal form and round to the nearest thousandth 6/7 (its 8th grade math but I don't know how to change it)
The fraction 6/7 converted to decimal and rounded to thousands place is 0.8571.
What is a decimal?A decimal is a dot that separates the whole part and the fractional part of a given number.
To convert this proper fraction 6/7 into the decimal form we first have to divide 6 by 7 which is 0.8571428571.
Now, we have to round this number 0.8571428571 to thousands place so we will look at the digit ten thousand places which is 4 and less than 5 so we will make every digit after thousands place to zeroes which is 0.8571000000 and zeroes after decimal place is meaning less, therefore, this number will be 0.8571.
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Add 6 1/3 + 4 3/4 + 3 7/12
Step-by-step explanation:
6⅓ + 4¾ + 3 7/12
Convert to improper fraction
6⅓ = 19/34¾ = 19/4 3 7/12 = 43/12= 19/3 + 19/4 + 43/12
LCM= 12
= 76 + 57 + 43
12
= 176/12
= 44/3
Answer
44/3 as improper fraction14⅔ as mixed fraction14.66 as decimalFind the exact value of tan sin
5
13
The trigonometric functions is y = 5/12.
The trigonometric functions sine, cosine, tangent, cosecant, secant, and cotangent really execute the opposite operation, which is what the inverse trigonometric functions do. We are aware that the right angle triangle is particularly amenable to trig functions. When two sides of a right triangle's measure are known, these six crucial functions are employed to determine the angle's measurement.
The convention symbol uses arc-prefixes such as arcsin(x), arccos(x), arctan(x), arccsc(x), arcsec(x), and arccot to denote the inverse trigonometric function (x).
arc sin(x) = arc tan (x/√1-x^2), x ∈ (0,1)
let,
y = tan (arc sin(5/13)) _____(1)
y = tan (arc tan ( 5/13/√1-(5/13)^2))
y = tan ( arc tan ( 5/ √13^2 - 5^2))
y = tan (arc tan (5/12))
y = 5/12
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The amount an individual is required to pay in taxes is known as _____.
Answer: The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
Step-by-step explanation:
Define Tax :
An amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.
Some important Direct taxes include:
Income tax.Wealth tax.Gift tax.Capital Gains tax.Securities Transaction tax.Corporate tax.So,
People who have benefited greatly from tax breaks due to their high economic income are subject to the alternative minimum tax.
This tax acts as a corrective measure to ensure that person pays the least amount of tax possible.
The excess of a purported minimal tax above a regular tax is known as an alternative minimum tax. The income of a person, deductions, and exemptions are taken into account while determining the alleged minimum tax, and then the alternative minimum tax rate is applied.
It is then compared to the standard tax after receiving the purported minimum tax. The person is subject to alternative minimum tax if it is higher than the ordinary tax.
The alternative minimum tax may apply to taxpayers who have a lot of itemized deductions and tax preference items (AMT).
Therefore,
The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
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we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2
we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2.
That number is 0. When we multiply 0 by 3 or if we multiply it by 5 and then add 2, then we will get same results.
Given that
we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2To find
We have to find that number which is giving same results.?So, according to the question
we have,
We will get same results, after multiply an number by 3 or if we multiply the numbers by 5 and then add 2Let's assume that number is x,
So, from question we can say that
The result we will get after multiply x by 3 and then add 2= (3 × x) + 2
result = 3x + 2
and
The result we will get after multiply x by 5 and then add 2= (5 × x) + 2
result = 5x + 2
Now, from question we know that the results are same
So,
3x+ 2 = 5x+ 2
Now, simplify this
5x - 3x = 2 - 2
2x = 0
x = 0/2
x = 0
The number is 0.
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Which answer is a solution the equation: 2|x+5|=2 Responses x=6x is equal to 6 x=4x is equal to 4 x=1 and x=2x=1 and x=2 x=−6 and x=−4x=−6 and x=−4
Answer:
-6, -4
Step-by-step explanation:
[tex]2|x+5|=2 \\ \\ |x+5|=1 \\ \\ x+5=\pm 1 \\ \\ x=-5 \pm 1 \\ \\ x=-6, -4[/tex]
5. How many ways can you make change for 55¢ using only nickels, dimes, and quarters?
(Type a whole number.)
Answer: 11
Step-by-step explanation:
If you use 0 dimes, you can use 11 nickels.
If you use 1 dime, you can use 9 nickels.
A chart develops:
0 11
1 9
2 7
3 5
4 3
5 1
So there are 6 ways to make 55 cents with nickels and dimes alone.
Now for the situation with 1 quarter:
We can have 0 dimes and 6 nickels.
We can have 1 dime and 4 nickels.
A chart follows:
0 6
1 4
2 2
3 0
So there are 4 ways to make change with nickels and dimes and 1 quarter.
Finally, if we use 2 quarters, we have 5 cents left over which must be a nickel adding 1 more way.
So there are 6 + 4 + 1 ways = 11 total ways to make 55 cents with nickels dimes and quarters.
Answer:1 quarter 1 dime 4 nickels=55¢
Step-by-step explanation:
a quarter is 25¢ a dime is 10¢ and a nickel is 5¢ so i have 25¢+10¢ thats 35¢ so i added 4 more 5¢ and i got 55
You roll a dice twice. What is the probability the first roll is a 2 and the second roll is
an odd number?
The probability the first roll is a 2 and the second roll is an odd number is 1/12
When we are unsure of the outcomes or simply want to know how probable something is to happen, we talk about probabilities. A random event is mathematically represented by probability. The collection of all potential outcomes is the sample space S for a probability model.
When we roll a dice there are 6 possible outcomes S={1, 2, 3, 4, 5, 6}.
The probability of showing a 5 is
Probability of showing 2 = 1/6
And the probability of showing an odd number is
Probability of showing an odd number = 3/6
Rolls are independent of one another, so there is a chance that the first roll will show a 5 and the second roll will reveal an even number.
( Probability of showing 2) ( Probability of showing an odd number) = 1/6 × 3/6 = 1/12.
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find the negative integers. see picture above^^^
Answer:
i need help with this too let me know when you find out
Step-by-step explanation:
Step-by-step explanation:
all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.
smaller value : -28
larger value : -26
other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.
At the beginning of June Max and Shawn start saving money for the fair which occurs 10 weeks later Sean starts out with $20 just and saves just $2 per week Max starts out with no money but says $5 per week after how many weeks are Max have more money than Sean
At 7 weeks Max will have more saving than Sean.
How to find the number of week Max has more money?Max and Sean start saving money for a fair.
Sean starts out with just $20 and saves just $2 per week Max starts out with no money but says $5 per week .
Therefore,
Sean equation for amount gotten:
y = 20 + 2x
Max equation for amount gotten:
y = 5x
Where
x = number of weeks.
Therefore, the numbers of week max will save more than Sean is as follow:
y = 5x
y = 5(7) = $35
y = $35
y = 20 + 2x
y = 20 + 2(7)
y = 20 + 14
y = $34
Therefore, at 7 weeks Max will have more saving than Sean.
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An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?
What are the values of A, B & C?
The value of the AB is 47 and the C is 5.
According to the statement
We have to find that the value of the A,B,C.
So, For this purpose, we know that the
Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
From the given information:
The equations are:
AB+C = 52
And
AB+10C = 97
And now compare it then
AB+C = 52
AB+10C = 97
After that it become
-9C = -45
C = 5
Then
The equation become :
AB+C = 52
AB+5 = 52
AB = 47
The value of the AB is 47.
So, The value of the AB is 47 and the C is 5.
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What is the value of x that makes the given equation true?
4x-3-12x + 13
0x=-3
Ox=0
OX= 1
O x = 16
Answer:
Only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
Step-by-step explanation:
In this question we are given an equation (4x - 3) = (-12x + 13), in which we need to put different values for x given below for which the equation will become true.
The given values of x to put in to the equation to make it true are;
x = 13,0,1,16
Now, let us put the value of (x = -3) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(-3) - 3 = -12(-3) + 13
=> -12 - 3 = 36 + 13
=> -15 = 49
Thus, the value of (x = -3) does not make the above-mentioned equation true.
Now, let us put the value of (x = 0) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(0) - 3 = -12(0) + 13
=> -3 = 13
Thus, the value of (x = 0) does not make the above-mentioned equation true.
Now, let us put the value of (x = 1) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(1) - 3 = -12(1) + 13
=> 1 = 1
Thus, the value of (x = 1) makes the above-mentioned equation true.
Now, let us put the value of (x = 16) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(16) - 3 = -12(16) + 13
=> 64 - 3 = -192 + 13
=> 61 = -179
Thus, the value of (x = 16) does not make the above-mentioned equation true.
Therefore, only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
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On a piece of paper graph y=(s+2)(s-3) then determine which answer choice matches the graph
The graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.
What is Parabola?
Parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
Given is a function as -
y = (s + 2)(s - 3)
We have -
(s + 2)(s - 3)
s(s - 3) + 2(s - 3)
s² - 3s + 2s - 6
s² - s - 6
Replace 's' with 'x'. Now, you will get a quadratic equation as follows -
x² - x - 6
The graph of a quadratic equation represents a parabola. The parabola will cut the x - axis at the points -
(x - 2)(x - 3) = 0
x = -2 and x = 3
Therefore, the graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.
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-7x-43-3=-45 solve for x
Answer:
x=-13
Step-by-step explanation:
-7x-46=45
+46. +46
-6×=91
÷ ÷
6. 6
x=-13
Help pretty please it’s algebra 2
[tex]m=6n^2+1\hspace{5em}L=\sqrt{m-7} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{L=\sqrt{(6n^2+1)-7}} \implies L=\sqrt{6n^2 -6} \\\\[-0.35em] ~\dotfill\\\\ \textit{when n = 2, what is "L"?}\qquad L=\sqrt{6(2)^2 -6} \\\\\\ L=\sqrt{6(4)-6}\implies \boxed{L=\sqrt{18}} \\\\[-0.35em] ~\dotfill\\\\ \textit{when L = 6, what is "n"?}\qquad 6=\sqrt{6n^2 -6}\implies 6^2=6n^2 -6 \\\\\\ 36=6n^2-6\implies 42=6n^2\implies \cfrac{42}{6}=n^2\implies 7=n^2\implies \boxed{\sqrt{7}=n}[/tex]
What is the solution of |X - 15 =-6
Answer:
x = 9
Step-by-step explanation:
Add 15 on both sides
[tex]x - 15 + 15 = -6 + 15[/tex]
Simplify it
[tex]-6 + 15 = 15 - 6 = 9\\x = 9[/tex]
The sum of an integer and seven more than four times the next consecutive integer is 66. Find the integer.
The Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.
What is the integer as described in the task content?According to the task content, it follows that the sum of the Integer in discuss and seven more than four times the next consecutive integer is 66.
The word phrase which is as described above is;
x + 4(x+1) + 7 = 66
x + 4x + 4 + 7 = 66
5x + 11 = 66
5x = 66- 11
5x = 55
x = 11.
Ultimately, the Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.
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CHAPTER 8 NEED HELP!!!!
Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:
58.1
Step-by-step explanation:
8.6 is your diameter. You need to find the radius first which is always half of you diameter. Knowing that your radius is 4.3.
The formula you use for area is:
a = [tex]\pi[/tex]r²
a = [tex]\pi[/tex]4.3²
a = 58.08805
Rounded to the nearest tenth is:
58.1
The sum of two consecutive integers is 87
Answer:
43 and 44
Step-by-step explanation:
x + (x + 1) = 87
2x + 1 = 87
-1 -1
2x = 86
÷2 ÷2
x = 43
43 + (43 + 1) = 87
43 + 44 = 87
87 = 87
I hope this helps!
A classmate writes
(1.3 × 10³) + (3.4 x 10^5) = 4.7 x 108 on the
board. Is their equation true? Explain.
Answer:
no bc the answer to the problem would be 341300
i need help asap !!!
Answer:
so do i
Step-by-step explanation:
doesnt everybody
what is 1-2-3-4-5-6??!?? WILL GIVE BRAINLIst if correct
A cylinder aquarium is 8 ft across. When filled, it weighs 15680 lbs. The water weighs 62.42 lb/ft3. What is the height of the aquarium
the height of the aquarium is 2.5ft
What is the height of the aquarium?The aquarium is filled with water that weights 15,680 pounds in total, and we know that the density of water is 62.42 lb/ft^3, then the volume of water is:
V = 15,680/62.42 = 251.20 ft^3
Now, this is the volume of the cylinder will be 251.20 ft^3, and if the diameter is 8ft (the radius is 4ft) then the height H will be such that the volume:
V = 2*3.14*R^2*H
Is:
251.20 ft^3 = 2*3.14*(4ft)^2*H
251.20ft = 100.48ft^2*H
251.20ft/100.48ft^2 = H = 2.5ft
So the height of the aquarium is 2.5ft
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Need the outputs to this formula
The complete table of values of the absolute value function is
x g(x)
-3 22
-2 13
0 5
1 14
3 32
How to determine the output of the formula and complete the table?The equation of the function is given as
g(x) = |9x + 5|
Next, we set the values of x in the table to the above equation
So, we have
g(-3) = |9(-3) + 5| = 22
g(-2) = |9(-2) + 5| = 13
g(0) = |9(0) + 5| = 5
g(1) = |9(1) + 5| = 14
g(3) = |9(3) + 5| = 32
So, the complete table of values of the absolute value function is
x g(x)
-3 22
-2 13
0 5
1 14
3 32
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