Answer:
no solution
Step-by-step explanation:
3x+1+2x=5x+3
3x+2x-5x=3-1
0=2
Answer:
3x + 1 + 2x = 5x + 3 ---> original equation
combine the like terms (ex: x+3x)
5x + 1 = 5x + 3
Bring 1 to the other side(becomes negative)
5x = 5x + 3 - 1
5x = 5x + 2
same thing for the x terms!
5x - 5x = 2
0x = 2
x = 2/0
Answer undefined
Hence the answer is undefined
A recipe uses 4 cups of milk to make 24 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
Answer:
768
Step-by-step explanation:
2 gallons is 32 cups. Times 32 by the servings which is 24. 32 times 24 equals 768
What percent is represented by the shaded area?
write as single power of 3?
(3^-9)^6
Answer:
The single power of 3 is 3 ^ -54.
Hope it will help :)❤
Answer:
\(3^{-54}\)
Step-by-step explanation:
Using the rule of exponents
\((a^m)^{n}\) = \(a^{mn}\) , then
\((3^-9)^{6}\)
= \(3^{(-9(6))}\)
= \(3^{-54}\)
Calcula la suma de las longitudes de los catetos, si la hipotenusa mide 15 u y la altura relativa a ella mide 6 u.
UwU
Answer:
9 sqrt(5)
Step-by-step explanation:
La altura relativa a la hipotenusa corta la hipotenusa en dos segmentos.
Defina x como
x = la longitud de uno de esos segmentos
Entonces, la longitud del otro segmento = 15 - x.
Entonces, por el teorema, tenemos que (15-x) (x) = 36, de modo que
15x - x ^ 2 = 36
x ^ 2 - 15x + 36 = 0
(x-3) (x-12) = 0
Entonces, x = 3 o x = 12.
Sin pérdida de generalidad. sea x = 3.
Entonces, la suma de las dos piernas es
raíz cuadrada (6 ^ 2 + 3 ^ 2) + raíz cuadrada (12 ^ 2 + 6 ^ 2) =
raíz cuadrada (36 + 9) + raíz cuadrada (144 + 36) =
raíz cuadrada (45) + raíz cuadrada (180) =
raíz cuadrada (9 * 5) + raíz cuadrada (36 * 5) =
3 raíz cuadrada (5) + 6 raíz cuadrada (5) =
9 cuadrados (5)
Thabelo buys R350 worth of electricity .he gets 152,84 units (kwh) , what is the price per unit ?
The price per unit is equal to R2.29 per unit.
How to determine the unit price?Generally speaking, a unit price is sometimes referred to as price per unit or unit rate and it can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In this scenario, we would determine the unit price for number of unit of electricity by using the following mathematical expression;
Unit price = Cost of electricity/Number of units
Substituting the given parameters into the unit price formula, we have the following;
Unit price = R350/152.84
Unit price = R2.29 per unit.
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Pls help!
A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?
Answer:
6 ducks and 13 horses
Step-by-step explanation:
Let H and D be the numbers of Horses and Ducks, respectively.
We are told that:
H + D = 19
Our biology book confirms that:
1 horse = 4 legs, and
1 duck = 2 legs
[In most cases on Earth]
So we can say that:
4H + 2D = 64 legs
Rewrite
H + D = 19 as: H = 19 - D
and then substitute:
4H +2D = 64 legs
4(19-D) +2D = 64 legs
76 - 4D + 2D = 64 legs
-2D = - 12
D = 6 [We have 6 ducks]
Then:
H + D = 19
H + 6 = 19
H = 13 [There are 13 horses]
=============================
Check:
Do 6 ducks and 13 horses have a total of 64 legs?
6*2 + 4*13 = 64?
12 + 52 = 64?
YES
Hey Guys!
Help me in this question.....
Note:Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know
Thanks....
Explanation:
Recall that y = f(x) since both are outputs of a function.
If k = 2, then f(x) = 2 leads to y = 2 being a horizontal line drawn through 2 on the y axis. This horizontal line only crosses the cubic curve at one spot. The same can be said if k = 0 and k = -2. So we can rule out choices A,B,C.
On the other hand, if k = -3, then f(x) = -3 has three different solutions. This is because the horizontal line through -3 on the y axis crosses the cubic at 3 different intersection points.
Answer:
D) -3
Step-by-step explanation:
we are given that f(x) = k has 3 real solutions.
Recall that graphically, this simply means that if we draw a horizontal line y = k, the line will intersect the graph as 3 distinct locations.
Looking at the graph below (see attached picture for clarity), we can see that the only place where any horizontal line y = k will intersect the graph at 3 distinct points is between the blue lines pictured. (i.e approximately between y = -4 and y = -2.5)
If we look at all the choices, the only value for k that falls between the blue lines is -3 (answer D). All the other values for y fall out outside the blue lines and hence do not satisfy the condition of having 3 real solutions
Solve for x, then find the measurement of the angle given: m (a + 28)° = 2a°
Based on the Alternate Interior Angles Theorem, the value of a is 28.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two parallel lines are cut by a transversal, the pairs of angles on the same side of the transversal and inside the parallel lines are congruent.
Therefore,
(a + 28)° = 2a° based on the Alternate Interior Angles Theorem.
Solve to find a:
To find the value of a in this equation we can start isolating it.
(a + 28)° = 2a°
We can subtract a° from both sides:
28° = a°
Thus the value of a is 28.
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PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
y = -2x + 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / 2 - (-1)
-6 / 3
= -2
y = -2x + b
3 = -2(-1) + b
3 = 2 + b
1 = b
Rewrite the expression in the form a^n (a^2/3)^-1
Answer:
a(2+3) i thinkk :((
Step-by-step explanation:
Consider one mathematical idea from the course that you have found beautiful, and explain why it is beautiful to you. Your answer should: (1) explain the idea in a way that could be understood by a classmate who has taken classes X and Y but has not yet taken this class and (2) address how this beauty is similar to or different from other kinds of beauty that human beings encounter.
One beautiful mathematical idea is the concept of the Golden Ratio. The Golden Ratio is a mathematical ratio that is approximately equal to 1.618. It can be found in various natural and artistic phenomena, such as the proportions of the human body and the dimensions of famous artworks like the Parthenon. The beauty of the Golden Ratio lies in its aesthetic appeal and harmonious proportions, which can be appreciated by individuals from different backgrounds.
The Golden Ratio is a mathematical concept that can be understood by considering the relationship between two quantities. It is the ratio of the larger quantity to the smaller quantity, and this ratio is approximately equal to 1.618. This ratio has been observed in various natural and artistic contexts, which adds to its beauty. For example, the proportions of the human body, such as the ratio of the height to the navel compared to the navel to the floor, are often close to the Golden Ratio. Similarly, famous artworks, such as the Parthenon in Athens, exhibit dimensions that are related to the Golden Ratio.
The beauty of the Golden Ratio is similar to other kinds of beauty that humans encounter in the sense that it evokes a sense of harmony, balance, and aesthetic appeal. It demonstrates the presence of underlying mathematical principles that govern patterns and proportions in the natural and artistic world. This beauty can be appreciated by individuals regardless of their mathematical background, as it appeals to our innate sense of visual harmony and proportion. The elegance of the Golden Ratio lies in its ability to bridge mathematics and aesthetics, showcasing the interconnectedness between these domains of human experience.
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No calc:
m=(r/1,200)(1+r/1,200)^n
_________________________________
(1+r/1,200)^n -1
The formula above gives the monthly payment m needed to pay off a loan of P dollars at r percent annual interest over N months. Which of the following gives P in terms of m, r, and N?
A) (r/1,200)(1+r/1,200)^n
___________________ m
(1+ r/1,200)^n -1
B) (1+ r/1,200)^n -1
___________________ m
(r/1,200) (1+ r/1,200)^n
C) p= (r/1,200)m
D) p= (1,200/r)m
P = (r/1,200)(1+r/1,200)^n / [(1+r/1,200)^n - 1]
Option A is the correct answer of this question.
The formula given can be used to calculate the monthly payment needed to pay off a loan of P dollars at r percent annual interest over N months. To find P in terms of m, r, and N, we need to rearrange the formula to isolate P.
The answer is (r/1,200)(1+r/1,200)^n / (1+ r/1,200)^n -1.
The given formula:
m=(r/1,200)(1+r/1,200)^n
_________________________________
(1+r/1,200)^n -1
We can multiply both sides by the denominator to get rid of the fraction:
m(1+r/1,200)^n - m = (r/1,200)(1+r/1,200)^n
Then we can add m to both sides:
m(1+r/1,200)^n = (r/1,200)(1+r/1,200)^n + m
Next, we can divide both sides by (1+r/1,200)^n to isolate m:
m = [(r/1,200)(1+r/1,200)^n + m] / (1+r/1,200)^n
Now we can subtract m from both sides:
m - m(1+r/1,200)^n = (r/1,200)(1+r/1,200)^n
And factor out m:
m [(1+r/1,200)^n - 1] = (r/1,200)(1+r/1,200)^n
Finally, we can divide both sides by [(1+r/1,200)^n - 1] to get P:
P = (r/1,200)(1+r/1,200)^n / [(1+r/1,200)^n - 1]
Option A is the correct answer of this question.
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Find the dominan and range then the vertical and horizontal asymptotes
The domain is {x| x ∈ R, x≠ ±1} and the range is {y| y ∈ R}.
The vertical asymptotes are at x = 1 and x = -1
The horizontal asymptote is at y = 3.
How to find the domain and the range?To find the domain we need to look at the horizontal axis, here we can see that the function extends to the left and to the right, then we will have the set of all real numbers, except for the two values of x where we have asymptotes, these are x = -1 and x = 1
Then the domain is:
D = {x| x ∈ R, x≠ ±1}
And the range is the set of all real numbers:
R = {y| y ∈ R}
And the vertical asymptotes as we already said are at x = ± 1, while the horizontal ones are at y = 3.
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I need the answer very fast plz hurry
Answer:
2x=110 degree
2y=70 degree
b) A pattern is created by taking a tile of area 2mand adding further tiles, each
one half the area of the previous one. What is the total area of this pattern after
five tiles have been placed down? Give your answer as a mixed number.*
2m2
Answer:
TILE SIZES
Contemporary tiles are available in a variety of colors, styles, tile sizes, and shapes, which allows you to create a truly personalized space. Tile sizes are dependent on materials and intended uses, and they have increased dramatically over the years. But while there are some standard tile sizes, there are also a lot of manufacturers that make tiles in sizes specific to their in-house designs. Producers offer an enormous variety of products from very small 0.5” x 0.5” mosaic to large 24” x 24” tiles to suit in any house design and satisfy any customer needs.
The specification limits for a product are 9.87 cm and 11.61 cm. A process that produces the product has a mean of 10.85 cm and a standard deviation of 0.33 cm. What is the process capability, Cpk? a
The process capability index Cpk for the provided process ≈ 0.7687.
To calculate the process capability index Cpk, we need to use the following formula:
Cpk = min((USL - μ) / (3 * σ), (μ - LSL) / (3 * σ))
where USL is the upper specification limit, LSL is the lower specification limit, μ is the process mean, and σ is the process standard deviation.
USL = 11.61 cm (upper specification limit)
LSL = 9.87 cm (lower specification limit)
μ = 10.85 cm (process mean)
σ = 0.33 cm (process standard deviation)
Substituting these values into the formula, we can calculate Cpk:
Cpk = min((11.61 - 10.85) / (3 * 0.33), (10.85 - 9.87) / (3 * 0.33))
Cpk = min(0.76 / 0.99, 0.98 / 0.99)
Cpk = min(0.7687, 0.9899)
Cpk = 0.7687 (rounded to four decimal places)
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If x + y= 2, x - y= 2 then x=
Answer:
x374874593893
Step-by-step explanation:
eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m
If someone could help I would really appreciate it. The scale on a map is 1: 200,000. The length of a road on the map is 4 cm What is the length of the road in real life? Give your answer in kilometres.
Answer: If the ratio is 1:200,000 then the length of the road in centimeters is 800,000 centimeters meaning the conversion of this to kilometers would be 8 kilometers
Step-by-step explanation: every 100k (100,000) cm in kilometers would be 1 kilometer so take that and for the 200,000 times 4 is 800,000 which means the answer is 8 kilometers
________________________________________________________
The table shows the proportional relationship between the number of tickets required per game at a carnival.
Games 4 10 16
Tickets 16 40 64
Determine the constant of proportionality.
4
6
12
24
Answer:
6
Step-by-step explanation:
all are divisible by 6 or can be added by six to get the next number
The required value of the contant of proportionality is given as 1/4.
What is proportionality?Proportionality is described as the relationship between two or more sets of values, and whether these values are directly proportional or inversely proportionate to one other.
Here,
Let G be the number of games and T be the number of tickets,
G ∝ T
So,
G = kT
From the table,
4 = 16k
k = 4/16
k = 1/4
Thus, the required value of the contant of proportionality is given as 1/4.
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Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4
Answer:
C
Step-by-step explanation:
13+5=18 not 19 therefore C is not true
Need help asap.
The GDP of a country goes down as people spend more money and businesses make more products.
True or false
Answer:
I'm gonna say false
GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.
Hope this helps!
\(\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }\)solve this equation
Answer:
Step-by-step explanation:
Exponent law:
\(\sf \bf a^m * a^n = a^{m+n}\\\\ (a^m)^n = a^{m*n}\)
\(\sf a^{-m}=\dfrac{1}{a^m}\)
First convert radical form to exponent form and then apply exponent law.
\(\sf \sqrt{3}=3^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}\)
\(\sf \left(\dfrac{(\sqrt{3}*3^{-2}}{(\sqrt{5})^2}\right)^{\frac{1}{2}}= \left(\dfrac{3^{\frac{1}{2}}*3^{-2}}{(5^{\frac{1}{2}})^2} \right )^{\frac{1}{2}}\)
\(= \left(\dfrac{3^{\frac{1}{2}-2}}{5^{\frac{1}{2}*2}}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{1-4}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{-3}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\dfrac{3^{\frac{-3}{2}*{\frac{1}{2}}}}{5^{\frac{1}{2}}}\\\\ =\dfrac{3^{{\frac{-3}{4}}}}{5^{\frac{1}{2}}}\)
What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the
function g(x)=(x+5)2+3?
-5
-3
3
Answer:
3
Step-by-step explanation:
A algebraic transformation is represented by
\(a(bx - h) + k\)
where a is the vertical compression or stretch. a is also the vertical reflection if value is negative . B is the horizontal compression or stretch it is also a horizontal reflection if it value is negative. h is the horizontal shift. And k is the vertical shift.
3 replaces k in this scenario for the vertical translation so 3 is the answer.
1.marisaa bought a dress worth 1,966,99 if she gave 2,000,00 to the cashier.how much is her change? A. What is asked? B. What are the given facts? C. How will you solve the problem? D. What is the number sentence? E. What is the solution and the complete answer?
A. The question asks for the amount of Marisaa's change.
B. The dress is worth 1,966.99.
Marisaa gave 2,000.00 to the cashier.
C. To find the change, subtract the cost of the dress from the amount given.
D. Change = Amount given - Cost of the dress.
E. Marisaa's change is $33.01.
A. What is asked?
The question asks for Marisaa's change after buying a dress.
B. What are the given facts?
Marisaa bought a dress worth 1,966.99.
She gave 2,000.00 to the cashier.
C. How will you solve the problem?
To find Marisaa's change, we need to subtract the cost of the dress from the amount she gave to the cashier.
D. What is the number sentence?
The number sentence to solve the problem is: Change = Amount given - Cost of the dress.
E. What is the solution and the complete answer?
To calculate the change, we subtract the cost of the dress from the amount given:
Change = 2,000.00 - 1,966.99
Change = 33.01
Therefore, Marisaa's change is $33.01.
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what is an equation of the line that passes through the points
(6,5) and (3,5)?
Answer:
y = 5
Step-by-step explanation:
y = mx + b
5 = 6m + b
5 = 3m + b
Take the first minus twice the second.
-5 = - b
b = 5
Substitute back to calculate m.
5 = 6m + 5
6m = 0
m = 0
he expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.
By the using this method. We get, the correct determinant is 68.
Given Determinant:
\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)
\((-1)\left|\begin{array}{cc}-4&0\\-4&1\end{array}\right] +0\left|\begin{array}{cc}3&0\\-1&1\end{array}\right|+(-4)\left|\begin{array}{cc}3&-4\\-1&-4\\\end{array}\right|\)
= (-1)(-4-0) +0 - 4(-12 -4)
= -1 (-4) + 0 -4(-16)
= 4 + 64
= 68.
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Complete Question:
The expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.
\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)
Evaluate 18 -8(14 + 4) + 42.
Answer:
-84
Step-by-step explanation:
72+10t = 34+14t what is the anser
Answer:
9.5
Step-by-step explanation:
72 + 10t = 34 + 14t
72 - 34 = 14t - 10t
38/4 = 4t/4
9.5 = t
Factor
Include the Steps
X^2-6x-40=0
Answer:
x=(+10,-4)
Step-by-step explanation:
find two number if you multiple it becomes (-40) and if you add it becomes (-6)
T+2
Debra earns 46 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Debra earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Debra earns if she sells 13 books.
46 + 13 = 59
The answer is 59.