The coefficient of 2(3)(6)Q is 2(3)(6)
How to determine the coefficient?The expression is given as:
2(3)(6)Q
For an expression
AQ
Where A is a number or product of numbers and Q is a variable
The number A represents the coefficient
By comparing:
AQ and 2(3)(6)Q
We have
A = 2(3)(6)
Hence, the coefficient of 2(3)(6)Q is 2(3)(6)
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Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)
The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.
To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given:
Slope (m) = 8
Y-intercept (0, 9)
We can substitute these values into the slope-intercept form:
y = mx + b
y = 8x + 9
Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).
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Answer and explain your answer.
With the help of Geometry We would make Australia 200 miles more wider.
What is geometry?
Geometry is a branch of mathematics that is concerned with the study of shapes, sizes, and relative positions of figures and the properties of space. It is one of the oldest branches of mathematics that has been around for centuries and is still relevant today. Geometry is used to explain many aspects of our lives, from the size of buildings and bridges to the path of a baseball in flight. It is a powerful tool for problem solving and understanding the world around us. Geometry is based on axioms, or accepted truths, that are used as the basis for forming logical proofs. These proofs are used to develop theorems and formulas which help us to understand and explain our world.
We would make Australia 200 miles more wider too or just give 200 miles long US to some other country to make their sizes equal.
Hence, we would make Australia 200 miles more wider
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Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest rate. How much will Rudolfo receive on the second month of his investment? *
A. ₱20,300.00
B. ₱20,500.00
C. ₱20,600.00
D. ₱20,800.00.
Answer:
Step-by-step explanation:
P = 20,000
R= 1.5
T= 2 years
A = P(1+ R/100) ^ n
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.
We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.
Given elliptical form is:
x²/47,472,100 + y²/44,222,500 = 1,
or, x²/6,890² + y²/6,650² = 1.
The radius of the Earth, R = 6,370 km.
We know that the standard elliptical form is:
(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.
b = The minor axis (the shorter axis).
On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.
The distance between the satellite and the surface of the Earth, d, is given as follows:
d = a - R
Which gives;
d = 6,890 km - 6,370 km = 520 km.
Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
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the base area of the rectangular prism is 28 square meters. It the height of the prism is 14 meters what is the total volume of the prism,
Answer:
Step-by-step explanation:
28 x 14 equals 392 so the answer is 392
1/9^x=3^-x/3×81^x
find the value of x
Answer:
x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z or 1/5
Step-by-step explanation:
Solve for x:
9^(-x) = 3^(3 x - 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
-2 log(3) x = log(3) (3 x - 1) + 2 i π n for n element Z
Hint: | Write the linear polynomial on the right-hand side in standard form.
Expand out terms of the right hand side:
-2 log(3) x = -log(3) + 3 log(3) x + 2 i π n for n element Z
Hint: | Isolate x log(3) to the left-hand side.
Subtract 3 x log(3) from both sides:
-5 log(3) x = 2 i π n - log(3) for n element Z
Hint: | Solve for x.
Divide both sides by -5 log(3):
Answer: x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z
_____________________________
Solve for x over the real numbers:
9^(-x) = 3^(3 x - 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
-2 log(3) x = log(3) (3 x - 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(3):
-2 x = 3 x - 1
Hint: | Isolate x to the left-hand side.
Subtract 3 x from both sides:
-5 x = -1
Hint: | Solve for x.
Divide both sides by -5:
Answer: x = 1/5
Add a sale this week a suit is being sold for $476 this is a 15% discount from the original price what is the original price
if you need 4/5 of a cup for one pie how many do cups do you need for 9
Answer:
if you simplefy it, it would be 7 1/5
Step-by-step explanation:
see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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Consider the scatter plot.
What type of association does it show?
Drag a word or phrase into the box to correctly complete the sentence.
The scatter plot shows Response area association.
A coordinate grid titled scatter plot with x-axis labeled Variable X in increments of one from zero to ten and the y-axis labeled Variable Y in increments of one from zero to ten. The grid contains the following points nine, one, eight, five, five, six, seven, two, six, two, eight, three, four, three, three, four, one, seven, two, eight, three, seven, two, three, and one, four.
Based on the information given, It should be noted that when there is no pattern, the association is zero.
Scatter plot.Your information is incomplete as the diagram isn't given. Therefore, an overview will be given. A scatter plot refers to a type of plot that uses Cartersian coordinates in order to display values for the variables that are in a data. A scatter plot is also known as a scatter chart or graph.
In a case where the variables increase and decrease together, then the association is positive. When one variable increases and the other reduces, the association is negative.
In conclusion, when there is no pattern, the association is zero.
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Answer: The answer is a negative
Step-by-step explanation:
Allie is single, has an adjusted gross income of $25,005 and one exemption of $12400. How much is his tax according to the table? Hint: find taxable income first. $1246 $1263 $1318 $1324
Allie's tax amount is the amount deducted from his taxable income
Allie's tax amount is $1427
How to determine the tax?The given parameters are:
Adjusted gross income = $25,005
Exemption = $12400
Start by calculating the taxable income using
Taxable income = Adjusted gross income - Exemption
So, we have:
Taxable income = $25,005 - $12400
Evaluate the differences
Taxable income = $12605
The question is incomplete.
So, I will use the table of the single taxable income tax bracket and rates, 2016
Using the table, the tax amount on an income of $12605 is:
Tax = $927.50 + 15% * (Amount - $9275)
So, we have:
Tax = $927.50 + 15% * ($12605 - $9275)
Evaluate
Tax = $1427
Hence, Allie's tax amount is $1427
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Answer:
The real answer is $1318
Step-by-step explanation:
I hope this helps
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answer:
34
Step-by-step explanation:
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
looking for help here ill give brainliest!
Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
A health club charges a one time initiation fee of $120.00 plus a membership fee of $30.00 per month. a. Write an expression for the cost function C(x) that gives the total for membership at the health club for x months. b. Draw a graph of the function in (a).c. The health club decided to give it's member an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $420 and the monthly membership fee is $10, use a different color and draw on the same set of axes the cost graph under the plan. d. Determine after how many months the second plan is less expensive for the member. a. C(x) = _______ (Do not factor)
a.
Given that a health club charges a one-time initiation fee of $120.00 plus a membership fee of $30.00 per month.
The total cost will be equal to the fixed one-time charge plus the charge per month times the number of months.
It can be represented by the expression C(x);
\(C(x)=120+30x\)b.
Graphing of the function, we would have;
c.
If the health club decided to give its members an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $420 and the monthly membership fee is $10, we will have the function as;
\(F(x)=420+10x\)graphing the above function, we have;
the first plan is represented by the blue line while the second plan is represented by the red line.
d.
The number of months after which the second plan is less expensive is the value of x when the two lines meet.
the two lines meet at point;
\((15,570)\)The value of the x coordinate is 15.
So, The number of months after which the second plan is less expensive is
\(15\text{ months}\)What is a counterexample for 3/4 and 6/8
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
The librarian at the public library counted the number of books on each shelf. Number of books Number of shelves 12 3 40 3 45 3 58 4 75 2 5 88 X is the number of books that a randomly chosen shelf has. What is the expected value of X? Write your answer as a decimal.
The data shows the number of books per shelf in the library.
The variable of the study is X: the number of books on each shelf.
The data is arranged in a frequency table, in the first column you see the number of books per column and on the second column, you see the absolute frequency.
So, for example, in the first row, we see that 3 shelves have 12 books, and in the second row we have the information that three shelves have 40 books, and so on...
To calculate the expected value of a sample shown on a frequency table you have to use the following formula:
\(E(X)=\frac{\Sigma x_if_i}{n}\)Where
xi represents each possible observation of the variable X
fi represents the absolute frequency of each observation
n represents the sample size
To determine the sample size, which is the total number of shelves, you have to add all observed frequencies:
\(\begin{gathered} n=3+3+3+4+2+5 \\ n=20 \end{gathered}\)Next is to calculate the expected value, you have to multiply each observation by its corresponding frequency and add them together, then divide the result by 20:
\(\begin{gathered} E(X)=\frac{(12\cdot3)+(40\cdot3)+(45\cdot3)+(58\cdot4)+(75\cdot2)+(88\cdot5)}{20} \\ E(X)=\frac{36+120+135+232+150+440}{20} \\ E(X)=\frac{1113}{20} \\ E(X)=55.65 \end{gathered}\)The expected value is E(X)=55.65 books
Write the prime factorization of 38.
please help please...
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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need the answer please
for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).
If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).
Answer:
10x-17
Step-by-step explanation:
f(x) = x^2 + 9x – 14
g(x) = x^2 – x + 3
(f – g)(x)=x^2 + 9x – 14 - (x^2 – x + 3)
Distribute the minus sign
(f – g)(x)=x^2 + 9x – 14 - x^2 + x - 3
Combine like terms
=10x-17
What is the repeating digit in the decimal equivalent of 49?
Answer:
49/99
Step-by-step explanation:
I'm assuming you want to find the fraction that gives the decimal 0.494949...
If that is the case, the 49/99 is your answer.
Answer:
4
Step-by-step explanation:
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
To solve this problem, we can use the concept of "work rates."
Let's find out how much work Fran and Denise can do individually in one hour.
If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).
Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).
When they work together, their work rates are additive.
So, their combined work rate would be:
\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)
\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)
\(=\frac{7}{24} room/hour\)
This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.
To determine the total time required for them to paint the entire room, we can invert their combined work rate:
\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)
Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
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Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $71
Selling price: $86.45
Tax amount: $
Tax rate: %
well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.
now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)
9)
Solve for X?
Not sure what else to put
selena is making cups on lemonade using the following:
Answer:
you add all the lemonade cups that should 12 lemonade cups which is correct your welcome
Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
se the drawing tool(s) to form the correct answer on the provided graph.
A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes.
Create and graph the solution set of the equation for the gallons of water, y, remaining in the barrel in terms of the number of minutes elapsed, x
Answer:
it will take 10 hours for the barrel to empty out
Step-by-step explanation: