Answer:
see explanation
Step-by-step explanation:
Using the exact values
sin45° = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Since the triangle is right use the sine/cosine ratios, that is
sin45° = [tex]\frac{TU}{TV}[/tex] = [tex]\frac{TU}{9\sqrt{2} }[/tex]
Multiply both sides by 9[tex]\sqrt{2}[/tex]
9[tex]\sqrt{2}[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = TU, hence
TU = 9
-------------------------------------------------------------------------------
cos45° = [tex]\frac{UV}{TV}[/tex] = [tex]\frac{UV}{9\sqrt{2} }[/tex]
Multiply both sides by 9 [tex]\sqrt{2}[/tex]
9[tex]\sqrt{2}[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = UV, hence
UV = 9
Since TU = UV = 9 , then triangle is isosceles
and ∠T = ∠V = 45°
If you had a cube measuring 5 cm per side, what is its total surface area?
Answer:150 square cm
Step-by-step explanation:
The product shown is a difference of squares. What is the missing constant term in the second factor?
(–5x – 3)(–5x +?
Answer:
[tex]\boxed{3)}[/tex]
Step-by-step explanation:
A difference of squares has the form (a - b)(a + b)
Your expression is (-5x - 3)(-5x + ?
Let's compare this with your expression.
[tex]\begin{array}{cclccl}(a & - & b) & (a & + & b)\\\downarrow & & \downarrow & \downarrow & & \downarrow \\(-5x & - & 3) & (-5x & + & \mathbf{3)} \\\end{array}\\\\\text{The missing term is }\boxed{\mathbf{3)}}[/tex]
Need help with math question
Answer:
center (1,-3) and radius is 5
Step-by-step explanation:
We have to use completing the square here:
x^2-2x + y^2+6y =15 (reorder some things and added 15 on both sides)
x^2-2x+(-2/2)^2 + y^2+6y+(6/2)^2 =15+(-2/2)^2+(6/2)^2 (whatever you add on one side you also do to the other side)
x^2-2x+(-1)^2 + y^2+6y+(3)^2=15+1+9
(x-1)^2 + (y+3)^2 =25
Center is (1,-3) and radius is 5
ANSWER
The center is (1,-3) and the radius is r=5 units.
EXPLANATION
The given equation is:
[tex] {x}^{2} + {y}^{2} - 2x + 6y - 15 = 0[/tex]
Let rearrange to get:
[tex]{x}^{2} - 2x + {y}^{2} + 6y=15[/tex]
We complete the square to get;
[tex]{x}^{2} - 2x + ( { - 1)}^{2} + {y}^{2} + 6y + {3}^{2} = 15+ ( { - 1)}^{2} + {3}^{2}[/tex]
[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} = 15 + 1+ 9[/tex]
[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} =25[/tex]
[tex]( {x - 1)}^{2} +( {y + 3)}^{2} = {5}^{2} [/tex]
Comparing to
[tex]( {x - h)}^{2} +( {y - h)}^{2} = {r}^{2} [/tex]
The center is (1,-3) and the radius is r=5 units.
Rebecca buys a table that was priced $650. There is a 8% sales tax in her state. Fortunately, it was 25% off! So she only
paid $:
Answer:
$526.50
amount×discount=?
650×.25= 162.5
total-discount=?
650-162.5= 487.5
new amount×sales tax=?
487.5×.08= 39
new amount+tax=total
487.5+39= 526.5
Total=$526.50
Complete a two-column proof for each problem.
In a difficult position right now all help is welcomed tyty
Answer:
D is the midpoint of AC Given
∠BDC ≅ ∠BDA Given
BD ≅ BD Reflexive Property
AD ≅ DC Definition of line segment bisector
ΔADB ≅ ΔCBD CPCTC (Congruent Parts of Congruent Triangles are Congruent)
~
Below is the beginning of the construction of a line parallel to the y-axis through point P. What is the next step of this construction?
A. Measure the distance from the intersection of the transversal to point P.
B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis.
C. Draw another transversal.
D. Connect the arc intersections using a straight edge.
Thanks!
Answer:
B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis
Step-by-step explanation:
Creating a parallel line through a point involves copying the angle a transversal makes with the given line. The copied angle has the given point as its vertex, and the transversal as one side.
Copying an angle uses the steps of ...
draw an arc through the sides of the given angledraw an arc with the same radius centered at the new vertex...The step this question is referring to is the first bullet above. The given angle is the angle between the transversal and the y-axis.
A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 5:20 B. 15:20 C. 20:15 D. 20:5
Answer:
15:20
Step-by-step explanation:
15:20 = 15/20 = .75 = 75%
If the given sequence is a geometric sequence, find the common ratio.
3/3, 3/12, 3/48, 3/192, 3/768
a. 4
b. 1/30
c. 30
d. 1/4
Answer:
d. 1/4
Step-by-step explanation:
The ratio of adjacent terms is the common ratio:
(3/12)/(3/3) = 3/12 = 1/4
HELP awarding 60 points and brainliest answer!!!
Answer:
A
Step-by-step explanation:
Choice A is right because there is no dot above the two.
Choice B is not right because there is 2 dots above 1 and not 3.
Choice C is not right because the data doesn't go passed 5 to get to 8
Choice D is not right because it was 5 games because there is 5 dots above 3
The answer would be A. the team never scored exactly 2 goals in a single game
If you look at the number two on the dot plot you can see that there are NO dots above it. This means that the team never scored exactly 2 goals.
It can't be B. because they scored exactly 1 goal for 2 games NOT 3
It can't be C. because no where on the graph is the number 8. They never scored 8 goals. Five is actually the highest number of goals they ever scored.
It can't be D. because they scored 3 goals in a game for 5 games not for 4 games
Hope this helped!
~Just a girl in love with Shawn Mendes
If an object is dropped from a height of 144 feet, the function h(t) = -16t2 + 144 gives the height of the object after t seconds. When will the object hit the ground?
Answer:
3 seconds is correct.
Step-by-step explanation:
The object hit the ground at 3 seconds
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find when will the object hit the ground?
According to the problem,
An object is dropped from a height of 144 feetThe given function is h(t) = -16t2 + 144.
When the object reaches the ground h(t) becomes 0
So, the equation will be 0 = -16t2 + 144.
Solving the equation we get t = 3 seconds
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The cost of a long-distance phone call is $0.45 for the first minute and $0.36 for each additional minute. If the
total charge for a long-distance call is $6.93, how many minutes was the call?
The call was for
minutes.
Answer:
19 minutes
Step-by-step explanation:
cost = .45+.36m
If we take 6.93 minus .45 for the minute, we get 6.48. We take 6.48 and divide it by .36 for each additional minute, which is 18. We take the 18 and add one more minute to it since .45 was covered for the first minute.
The long-distance phone call that cost $6.93 was 19 minutes long. This was calculated by first deducting the cost of the first minute from the total cost, then dividing the remaining cost by the cost of each additional minute, and finally adding back the first minute.
Explanation:The subject of this question is mathematics, and it involves understanding the cost structure of a long-distance phone call. So here's how we solve the problem:
Subtract the first minute's cost from the total cost. So, $6.93 - $0.45 = $6.48.Then divide the remaining total by the cost of each additional minute. So, $6.48 / $0.36 = 18 additional minutes.Last, add back in the first minute that we subtracted at the start. So, 18 minutes + 1 minute = 19 minutes total.Therefore, the duration of the long-distance phone call that cost $6.93 was 19 minutes.
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Write the equation of a line that goes through point (0, −8) and has a slope of 0.
A.) x = -8
B.) x = 0
C.) y = - 8
D.) y = 0
Answer:
C.) y = - 8
Step-by-step explanation:
If the line has a slope of 0, it is a horizontal line. That means y= a value
Since we have the point (0,-8)
y = -8
Final answer:
The equation of a line that goes through point (0, -8) with a slope of 0 is y = -8.(Option c)
Explanation:
We need to find the equation of a line that goes through the point (0, -8) and has a slope of 0. The general equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the slope (m) is 0, the line is horizontal.
A horizontal line has an equation of the form y = b, where b is the y-coordinate of every point on the line. As the line goes through (0, -8), we can see that the y-coordinate is -8 for all points on this line. Therefore, the equation of this line is C) y = -8.
Which of the following statements are true?
Answer:
Both graphs have been shifted and flipped
Both graphs have exactly one asymptote
Step-by-step explanation:
Choice A is incorrect since both graphs are not logarithmic functions. The graph of f(x) appears to be an exponential function.
Choice B is also incorrect since both graphs are not exponential functions. The graph of g(x) does not belong to the exponential family since y can take on negative values.
When the graph of f(x) is shifted downwards and flipped, we can obtain the graph of g(x).
Both graphs have exactly one horizontal asymptote
The potential and kinetic energy of a rock thrown into the air and falling back is misunderstood in statement 1. Voting rates are lower in the United States compared to some other democratic countries, and according to Kepler's laws, a satellite speeds up as it approaches its parent body and slows down as it moves away.
Explanation:For the given set of statements:
The statement that 'If a rock is thrown into the air, the increase in the height would increase the rock's kinetic energy, and then the increase in the velocity as it falls to the ground would increase its potential energy.' is False. The potential energy increases with height, not kinetic energy, and when the rock falls, its velocity increases which in turn increases its kinetic energy, not potential energy.The statement that 'Voting rates are higher in the United States than in most democratic industrialized countries, including Sweden and South Korea' is False. These countries are known to have higher voter turnouts compared to the United States.The statement, 'According to Kepler's laws of planetary motion, a satellite increases its speed as it approaches its parent body and decreases its speed as it moves away from the parent body' is True. As a satellite approaches the parent body, gravitational force pulls it in, causing it to speed up and as it travels further from the parent body, it decelerates. Learn more about Physics Statements here:https://brainly.com/question/30255438
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Tennis balls are packaged into cylindrical cans to ship and sell. Three tennis balls fit into one cylinder so that the height of the three balls is equal to the height of the cylinder. and the diameter of one ball is equal to the diameter of the cylinder. The radius of one tennis ball is 1.3 inches. How much air space is in the cylinder around the tennis balls?
Answer:
about 13.8 in³
Step-by-step explanation:
The volume of air is the difference between the volume of the cylinder of radius 1.3 inches and height 7.8 inches, and that of three spheres, each with a radius of 1.3 inches.
The formula for the volume of a cylinder is ...
V = πr²h
The formula for the volume of a sphere is ...
V = (4/3)πr³
For h = 6r, the difference is ...
(cylinder volume) - 3×(sphere volume) = πr²·(6r) - 3×(4/3)πr³
= πr³(6 -4)
= 2πr³ = 2π(1.3 in)³ = 4.394π in³
≈ 13.8 in³ . . . . air space in the cylinder of tennis balls
Which description best describes the solution to the following system of equations?
y = –x + 4
y = 3x + 3 (4 points)
Line y = –x + 4 intersects the line y = 3x + 3.
Lines y = –x + 4 and y = 3x + 3 intersect the x-axis.
Lines y = –x + 4 and y = 3x + 3 intersect the y-axis.
Line y = –x + 4 intersects the origin.
Answer:
Line y = –x + 4 intersects the line y = 3x + 3
Step-by-step explanation:
The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.
___
Comments on other answer choices
Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.
Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.
i need help with area of a circle
A circular plate has a diameter of 6 inches.
What is the exact area of the plate?
A.3_ square inches
B.6_ square inches
C.36_ square inches
D.9_ square inches
Answer:
D.
Step-by-step explanation:
The area formula for a circle is [tex]A=\pi r^2[/tex].
If the diameter is given, we take half of it to find the radius measure. If d = 6, then r = 3. Therefore, our formula can be filled in as
[tex]A=\pi (3)^2[/tex] or [tex]A=9\pi[/tex]. That is the exact area. The approximate area is found by multiplying in 3.1415 as pi to give you that the area is approximately 28.27 square inches. I think you meant to put pi in those answer choices instead of an underscore, so it's my belief that D. is supposed to reflect the answer of [tex]9\pi[/tex] square inches. I'm going with D.
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the dimensions of the rectangle
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
Answer:
Step-by-step explanation:
8x12
If tuvw is an an isoaceles trapezoid with tu parallel to wv, name a pair of similar traingles. Explain
Answer:
TUW ~ UTV, TWV ~ UVW
Step-by-step explanation:
An isosceles trapezoid is symmetrical about the perpendicular bisector of its bases. A triangle formed by deleting a vertex on one side of that line of symmetry will be similar to the corresponding triangle formed by deleting the symmetrically opposite vertex on the other side. The two pairs listed above are the possibilities.
A survey found that 78% of students do their homework before 10:00 P.M. Predict how many students out of 975 do their homework before 10:00 P.M.
a.
about 761
b.
about 78
c.
about 800
d.
about 13
Which two undefined geometric terms always describe figures with no beginning or end?
Answer:
lines, andplanes.Explanation:
In geometry, undefined terms refer to three entities: points, lines, and planes. They are considered undefined because they are rather described than formally defined.
The reason behind this lack of definition is that they are abstractions: you cannot touch or see a real point, line or plane.
A point represents a position in the plane or the space, and it is dimensionless. Yet it is used to define a line and a plane.
Among those three terms, only line and plane meet the feature of not having begin or end. That is so because lines and planes extend infinetly
LInes extend in two directions, in one dimension: for example, from left to right, or from east to west, or vertically.
Planes extend infinetly in two dimensions: they are flat infinite surfaces.
If a distance of 75 yds is measured back from the edge of the canyon and two angles are measured , find the distance across the canyon
Angle ACB = 50°
Angle ABC=100°
a=75 yds
What does C equal?
Answer:
Length of side [tex]c[/tex]:
[tex]c = \rm AB \approx 115\; yds[/tex].
The distance across the canyon is approximately
[tex]\rm 113\;yds[/tex].
Step-by-step explanation:
[tex]c[/tex] is the length of the side opposite to the angle [tex]\rm A\hat{C} B[/tex].[tex]a[/tex] is the length of the side opposite to the angle [tex]\rm B\hat{A}C[/tex].Apply the law of sine:
[tex]\displaystyle \frac{c}{\sin{\rm A\hat{C}B} = \frac{a}{\sin{\rm B\hat{A}C}}[/tex].
In other words,
[tex]\displaystyle c = \sin{\rm B\hat{A}C} \cdot \frac{a}{\sin{\rm A\hat{C} B}}[/tex].
However, the value of the angle [tex]\rm B\hat{A}C[/tex] isn't given. Don't panic. The three interior angles of a triangle shall add up to 180°. Two of the three angles are given. The value of the third angle is implied.
[tex]\rm B\hat{A}C = 180\textdegree{} - A\hat{C}B - A\hat{B}C = 30\textdegree{}[/tex].
Apply the law of sine to find [tex]c[/tex]:
[tex]\displaystyle \begin{aligned}c &= \sin{\rm A\hat{C}B} \cdot \frac{a}{\sin{\rm B\hat{A}C}}\\ &= \sin{50\textdegree{}}\cdot \frac{\rm 75\; yds}{\sin{30\textdegree{}}}\\ &\rm = 114.907\; yds\end{aligned}[/tex].
Refer to the diagram. The distance across the canyon will be
[tex]\rm AB \cdot \sin{A\hat{B}C} = 114.907\times \sin{100\textdegree{}} \approx 113\;yds[/tex].
Mr de guzman bought 7 1/2 of meat.He used 2 3/4 for afritada,3 1/8 kg for menudo and the rest for pochero.How many kilograms of meat did he used for pochero?
Answer:
hola puto
Step-by-step explanation:
bggyyhh yyesws kihtwrqas bts23e4gyhun
A salesperson obtained a systematic sample of size 20 from a list of 500 clients. to do so, he randomly selected a number from 1 to 25, obtaining the number 18. he included in the sample the 18th client on the list and every 25th client thereafter. list the numbers that correspond to the 20 clients selected
The salesperson selected clients 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493 through systematic sampling from a list of 500 clients.
Explanation:This is a question related to systematic sampling, which is a statistical method where elements are selected from an ordered sampling frame. In this case, the 20 clients were selected beginning with the 18th client and then continuing every 25th client.
To find the specific client numbers selected, we would follow the pattern by adding 25 to the prior number starting from 18. Keep adding until you reach 20 numbers. Let me list them for you:
18 (Starting client) 43 (18 + 25) 68 (43 + 25) 93 (68 + 25) 118 (93 + 25) 143 (118 + 25) 168 (143 + 25) 193 (168 + 25) 218 (193 + 25) 243 (218 + 25) 268 (243 + 25) 293 (268 + 25) 318 (293 + 25) 343 (318 + 25) 368 (343 + 25) 393 (368 + 25) 418 (393 + 25) 443 (418 + 25) 468 (443 + 25) 493 (468 + 25) Learn more about systematic sampling here:
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The salesperson used systematic sampling to select clients from the list. Starting with the 18th client, the salesperson then selected every 25th client thereafter. The client numbers selected were 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.
Explanation:In this scenario, the salesperson obtained a systematic sample by first selecting the 18th client and then every 25th client thereafter from a list of 500 clients. This method of sampling is called systematic sampling. It's a type of sampling where we select items from an ordered population using a fixed, periodic interval after a random start. So, the numbers of the clients selected would be: 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.
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Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute. When Anzelm goes jogging, he usually plans to stop and rest for about 5 minutes. Complete the equation below to find the total number of minutes (including rest) that Anzelm should plan to be out jogging. Use m to represent the total minutes ___( __–__) = ___
Answer:
12(m -5) = 540
Step-by-step explanation:
The left side of the equation is in the form of a product. A suitable product is ...
(calories/minute) × (minutes jogging) = (calories burned)
If m represent Anzelm's total minutes, then m-5 will represent the number of minutes actually jogging. This is what goes inside parentheses, so we have ...
(12 calories per minute) × ((m -5) minutes) = 540 calories
Leaving off the units, which we know are consistent, we have ...
12 (m -5) = 540
Answer:
12(m-5) = 540
Step-by-step explanation:
∵ The total calories have to burn = 540,
Also, here m represents the total time spent by Anzelm,
If he/she spent 5 minutes in rest,
Then the time he/she spent in jogging = (m - 5) minutes,
If the number of calories burnt in one minute = 12,
So, the number of calories burnt in (m-5) minutes = 12(m-5),
Therefore, for burning the whole calories,
Calories burnt by him/her = total calories
⇒ 12(m-5) = 540
Which is the required equation.
Please answer this question correctly for 30 points and brainliest!!
Answer:
22 quarters
Step-by-step explanation:
Let q represent the number of quarters in the bank. Then 60-q is the number of nickels, and the total value of the coins is ...
0.25q + 0.05(60 -q) = 7.40
0.20q + 3.00 = 7.40 . . . . . . . . simplify
0.20q = 4.40 . . . . . . . . . . . . . . subtract 3.00
q = 4.40/0.20 = 22 . . . . . . . . . divide by the coefficient of q
There are 22 quarters in the piggy bank.
_____
Check
The other 60-22 = 38 coins are nickels, so the total value is ...
0.25×22 + 0.05×38 = 5.50 + 1.90 = 7.40 . . . . . . the required amount
Step-by-step answer:
Here's a different way to solve the problem, mentally.
Mixture of 60 coins composed of nickels (5 cents) and quarters (25 cents).
Total value = 7.40.
IF all coins were quarters, value would be 60*0.25 = $15
That makes too many quarters.
To conform to the value of $7.40, we need to reduce the mix by $15-7.40 = 7.60.
Each exchange of quarters and nickels reduces the value by $0.25-0.05=0.20.
It takes 7.60 / 0.20 = 38 exchanges.
So there are 38 nickels and 22 quarters.
Which aspect of electronic commerce does the FTC regulate?
A.
encryption and transfer of data
B.
disposing of credit reports
C.
network security
D.
antivirus software updates
Answer:
The correct answer option is A. encryption and transfer of data.
Step-by-step explanation:
The business activities that take place through internet as the medium are referred to as electronic commerce.
The Federal Trade Commission [FCT] is one of the main functional bodies responsible for regulating such electronic commerce activities which includes encryption and transfer of data.
The risk of data theft from encryption and transfer of data is really high so FTC makes sure to prevent theft from the transaction made through e-commerce.
Answer:
Which aspect of electronic commerce does the FTC regulate?
A.
encryption and transfer of data
B.
disposing of credit reports
C.
network security
D.
antivirus software updates
Step-by-step explanation:
#platofam
Cylinder A has a volume of 100 cm and cylinder B has a height that two fifths of the height of cylinder A
You need more input here what even is the question
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflected over the y-axis 2. y = (x - 1)2 + 1 Reflected over the x-axis 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Translated up by 1 unit 6. y = (x + 3)2 Translated left by 4 units
Answer:
y = -(x-1)² . . . . reflected over the x-axisy = (x-1)² +1 . . . . translated up by 1 unity = (x+1)² . . . . reflected over the y-axisy = (x-2)² . . . . translated right by 1 unity = (x-1)² -3 . . . . translated down by 3 unitsy = (x+3)² . . . . translated left by 4 unitsStep-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
f(x-a) . . . translates right by "a" unitsf(x) +a . . . translates up by "a" unitsa·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axisf(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
Combine Radicals/Fractional Exponents
Image Below, Will Give Brainliest~
What is the product of a b and c
[tex]\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}[/tex]
[tex]\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}[/tex]
[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}[/tex]
[tex]\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}[/tex]
[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}[/tex]
[tex]\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}[/tex]
[tex]\bigstar\;\;\mathsf{a = \dfrac{5}{4}}[/tex]
[tex]\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}[/tex]
[tex]\bigstar\;\;\mathsf{c = -3}[/tex]
[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}[/tex]
[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}[/tex]
Solve: e^2x+5= 4 (for those who want the answer to this!)
Answer:
Step-by-step explanation:
With the way it is written, there are no values of x that make the equation true.