None of the points is on the line that produces y - 3 = 5(x + 3)
How to determine the points?The equation is given as:
y - 3 = 5(x + 3)
Next, we test the options
Option 1: (3,3)
This means that:
3 - 3 = 5(3 + 3)
0 = 30 ---- this is false
Option 2: (-1,14)
This means that:
14 - 3 = 5(-1 + 3)
11 = 10 ---- this is false
Option 3: (-2,-8)
This means that:
-8 - 3 = 5(-2 + 3)
-11 = 5 ---- this is false
Option 4: (1,13)
This means that:
13 - 3 = 5(1 + 3)
10 = 20 ---- this is false
Hence, none of the points is on the line that produces y - 3 = 5(x + 3)
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PLEASEEEE HELPP MEEE WITHHH NUMBERSSS 9 AND 10
PLEASEEE HELPPP MEEEEE!!!!!!!!
Answer:
9: 89°
Step-by-step explanation:
Inside of a triangle is 180, so 180-39-52=89
I'm sorry I can't answer 10 for you
how many grams in 1.7x 10^7 ug
Answer:
17 grams
Step-by-step explanation:
The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation:
cannot decide which of two washing machines to buy. The selling price of each is $550. The first is marked down by 40%. The second is marked down by 30% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
The selling price of the two washing machies are
first washing machine is $330second washing machine is $346.5I will buy the first because it has a lower selling price
How to determine the best washing machine to buyThe question is a percentage problem
The first washing machine has a mark down by 40%
= 40 percent
= 40 / 100
= 0.4
marked down factor = 1 - 0.4 = 0.6
selling price of the first machine = 550 * 0.6 = 330
the second washing machine has mark down of 30%
30% = 0.3
marked down factor = 1 - 0.3 = 0.7
selling price of the second washing machine at first mark down
= 550 * 0.7 = 385
marked down again
10% = 0.1
the factor here is = 1 - 0.1 = 0.9
selling price of the second washing machine at second mark down
= 385 * 0.9 = 346.5
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Pls hellp
A small bowl of candy has a piece of chocolate, cinnamon, and butterscotch candy. Over the course of a few days, the three candies were eaten. Determine the probability of the butterscotch, cinnamon, and then chocolate candies eaten in this particular order.
Please show work.
Using the arrangements formula, the probability of the butterscotch, cinnamon, and then chocolate candies eaten in this particular order is:
\(\frac{1}{6}\).
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
\(A_n = n!\)
In this problem, there are 3 candies, hence the number of ways they can be eaten is:
\(A_3 = 3! = 6\)
The desired order is only one, hence the probability is:
\(\frac{1}{6}\).
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The sum of 1 and a number x
9515 1404 393
Answer:
1 + x
Step-by-step explanation:
A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...
1 + x
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
besties i need help !!
please help asap
Answer:
the answer is 623.1.
Step-by-step explanation:
The way this question should be written to be correct scientific notation is 2.3x10^5 + 3.6x10^6 which would equal 3.83x10^6
what is the answer to 100×338
Answer:
33800
Step-by-step explanation:
100 x 338 = 33800
Answer:
33800
Step-by-step explanation:
338x10=3380 then 3380x10=33800
-------------------------------------------------------
Good luck with your assignment...
A certain compound has a half-life of 5 days. Write and use an exponential decay function to find the amount
of compound remaining from a 84-ounce sample after seven weeks.
The amount of compound remaining from a 84-ounce sample after seven weeks is 4.32 ounces.
How to calculate the half life of the substanceGiven a half-life of 5 days and a sample of 84 ounces, the exponential decay function can be represented as:
A(t) = 84 * (1/2)^(t/5)
Where A(t) represents the amount of the compound remaining after t days.
To find the amount of compound remaining after 7 weeks
7 weeks * 7 days/week = 49 days,
we can substitute t = 49 into the function:
A(49) = 84 * (1/2)^(49/5)
A(49) = 84 * (1/2)^9.8
A(49) ≈ 4.32 ounces
So, the amount of the compound remaining after 7 weeks would be approximately 4.32 ounces.
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Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Tina has volunteered at the pet shelter 4 more times than Kai. Tina has volunteered 16
times Which equation represents this situation?
A. 16+k-4
B. 16k-4
C. K+4=16
D. 4K=16
The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.
To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:
\(\[Tina = Kai + 4\]\)
In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.
Substituting the given values, we have:
\(\[16 = k + 4\]\)
This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.
Simplifying the equation:
\(\[k + 4 = 16\]\)
This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)
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Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x?
++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4
5 6 7
O
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
4
6 7
ليا
نی
für
fe
LO
5
Answer:
x<_-5
Step-by-step explanation:
-4(x+3)<_-2-2x
-4x-12<_-2-2x
-4x+2x<_-2+12
-2x<_10
-2x/-2<_10/-2
x<_-5
Rationalize the denominator of the fraction and enter the new denominator below.
Answer:
7/19
Step-by-step explanation:
7/19=square root of 11=22-3 19
Help a student out please!!!!!
Answer:
The correct option is D. g(x) = (-1/2)x^2
Step-by-step explanation:
20 pts
evaluate: 48 divided by ( 17 - 15) ^3 - 5
help
48 : (17 - 15)³ - 5 = 48 : 2³ - 5 =
= 48 : 8 - 5 = 6 - 5 = 1
Answer and show work.
1.) 9 - t = 3 (t -5)
2.) 5 (5y + 1) =10y - 25
Answer:
1. 6
2. 2
Step-by-step explanation:
1. 9-t=3(t-5)
9-t=3t-15
+t +t
9=4t-15
+15 +15
24=4t
4 4
6=t
2.5(5y+1)=10y-25
25y+5=10y-25
+25 +25
25y+30=10y
-25 -25
30=-15y
15 15
2=y
Show that in any representation where Jx and Jz are real matrices (therefore symmetrical),
Jy is a pure imaginary matrix (therefore antisymmetrical).
With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.
What is Matrix?
a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.
Solution:
Recall the angular momentum algebra:
[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy
Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for
Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:
hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii
where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator
given above, we find:
hi | [Jx, Jz] | ji = −i~ hi | Jy | ji
where
hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)
= − hj | [Jx, Jz] | ii
hi | Jy | ji = − hj | Jy | ii
Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]
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Given that IG is perpendicular to FT, which of the following statements is true?
Answer:
B ). IF = IT
Step-by-step explanation:
IG is perpendicular to FT, means that the line IG divides the line FT into two equal parts without remainder.
Line IG does not only divide line FT, it also bisect the arc FT into two equally parts also.
It also divide the segment of the circle FIT into two equal parts.
So to the correct answer to the question, IF = IT
Please help ASAP!!
50 Points + Brainliest if correct!
(Also, I know that my answer is incorrect)
Answer:
5
Step-by-step explanation:
We have f(x) = 10x^3 and g(x) = 4x^(8/3) given. We need to find f/g, evaluating at x = 8. So how do we do this?
First, let's put our x value into the function f. f(8) = 10*8^3 = 5120.
Next, let's put our x value into the function g. g(8) = 4*8^(8/3) = 1024.
Now we just need to find f/g, which is just the result from our function f divided by our result from function g. This is f(8) / g(8). Substituting our solutions in, we have 5120/1024 = 5.
Answer:
5120/1024 = 5
Step-by-step explanation:
5120/1024 = 5
Graph the equation y = 3/2x -2
Graph these twο pοints (0, -2) & (4/3, 0) and yοu have yοur slοpe graphed fοr the equatiοn y = 3/2x -2.
What is an equatiοn?
An equatiοn is a mathematical statement containing two algebraic expressiοns flanked by equal signs (=) on either side.
It shows that the relationship between the left and right printed expressiοns is equal.
All fοrmulas have LHS = RHS (left side = right side).
Yοu can sοlve equatiοns tο determine the values οf unknοwn variables that represent unknοwn quantities.
If a statement does not have an equals sign, it is not an equatiοn. A mathematical statement called an equatiοn cοntains the symbοl "equal tο" between twο expressiοns οf equal value.
Tο find the x-intercept, substitute y = 0 and sοlve fοr x. Tο find the y-intercept, substitute x = 0 and sοlve fοr y.
y = 3/2(0) -2
y = -2
⇒ (0, -2)
And for x
0 = 3/2x -2
2 = 3/2x
x = 4/3
(4/3, 0)
Now graph these two points and you have your slope graphed
Hence, The graph of the equation is given below.
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You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
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The winery sold 81 cases of wine this week. If twice
as many red cases were sold than white. how many
white cases were sold this week?
Answer:
21 cases
Step-by-step explanation:
red cases=2x. white cases=x
2x+x=81
3x=81
x=21 cases
Working with my son and need help on this question
To evaluate both equations using a table of values, choose the values of x and solve each equation for these x-values.
Let's choose:
x = -2.25
x = -1.75
x = 0.50
x = 0.75
Given:
\(\begin{gathered} f(x)=\frac{x-1}{x^2+x-1} \\ \\ g(x)=3^x-2 \end{gathered}\)Let's substitute the values of x in each equation, solve them and compare the results using a table.
Let's begin with f(x).
\(\begin{gathered} f(x)=\frac{x-1}{x^{2}+x-1} \\ \\ f(-2.25)=\frac{-2.25-1}{(-2.25)^2-2.25-1}=\frac{-3.25}{5.06-3.25}=-1.79 \\ f(-1.75)=\frac{-1.75-1}{(-1.75)^2-1.75-1}=\frac{-2.75}{3.06-2.75}=-8.87 \\ f(0.5)=\frac{0.5-1}{(0.5)^2+0.5-1}=\frac{-0.5}{0.25-0.5}=2 \\ f(0.75)=\frac{0.75-1}{(0.75)^2+0.75-1}=\frac{-0.25}{0.56-0.25}=-0.8 \end{gathered}\)Now, let's evaluate g(x).
\(\begin{gathered} g(x)=3^{x}-2 \\ g(-2.25)=3^{-2.25}-2=-1.92 \\ g(-1.75)=3^{-1.75}-2=-1.85 \\ g(0.5)=3^{0.5}-2=-0.27 \\ g(0.75)=3^{0.75}-2=0.28 \end{gathered}\)Now, let's write the results in a table to compare them.
We can observe that an aproximate solution for f(x) = g(x) is x = -2.25.
Answer: x = -2.25.
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. I believe
Step-by-step explanation:
Can someone please do #3?❤️
Answer:
B, because it goes up by 8 until the last of because the jump from 24 to 30 is 6
PLEASE HELP!!!!
Choose the equation below that is equivalent to 4(x - 7) - 2(x + 1) = -10
2x - 26 = -10
2 ( x - 6) = -10
4x - 28 - 2x - 2 = -10
4x - 28 - 2x +2 = -10
Step-by-step explanation:
=4(x)+4(-7)-2(x)-2(1) = -10
= 4x-28-2x-2= -10
therefore the third equation is equivalent to the given equation..all you need is to simplify.
Hope this Helps!!!
The graph of quadratic function f is shown on the grid. 5 -3 -12 5 u 6 Which of these best represents the domain of f? А -5.5 < x < 1.5 B All real numbers less than or equal to 3 C All real numbers D y <3
Answer:
C: All real numbers.
Step-by-step explanation:
Domain means the interval of x=values that the function resides in. Since this quadratic function can go to both positive and negative infinity, there are no limits to the x-values so therefore the domain is all real numbers.
factorise:x^3-(y-z)^3
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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