Pls help me solve this question, also include step by step calculation ya. Thks
Giving brainliest to the best answer
Answers
[tex]\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}[/tex]
Step-by-step explanation:
[tex]5x^2-x^2e^{2x}+2e^{2x}=10[/tex]
[tex]Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}[/tex]
Prologarithmize both parts of the equation:
[tex]ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\x=\frac{ln5}{2}[/tex]
[tex]t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}[/tex]
Related Questions
The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each additional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function
Answers
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
Write a piecewise function describing the cost C of the reunion.The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
Use a graphing calculator to graph the functionTo do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
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Eight families live on abbie's street. she asks each family how many pets they have. abbie's data set is: 0, 0, 1, 1, 2, 2, 2, 5. the modal number of family pets on abbie's street is:__________
Answers
Answer:
Step-by-step explanation:
It is asking for the "mode" which is the data element you see the most, therefore it is 2.
What is slope intercept form?
Answers
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Slope intercept form for a line equation is :
y = m x + b m is the slope of the line
b is the y-axis intercept ( this occurs when x = 0)
y + 1 = y + 2 need help asap pls !!!
Answers
Answer:
Alright
Ignore the 20, We have 5(x-2)
Brackets mean Multiplication
So, Multiply 5 with x and multiply 5 with 2
=> 20 = 5x - 10
Transpose the 20 to the other side
the twenty being transposed to the other side becomes Minus because it is in plus
And bring 5x in front of the =
=> 5x = 20 - 10
=> 5x = 10
So now we have 5x but we need x so transpose the 5 to the other side
by transposing the five becomes division because its in positive so
=> x = 10 ÷ 5
=> x = 2
Kaboom, All done!
simplify this expression
12g+9g
Answers
Answer:
21 g
Step-by-step explanation:
12g
+ 9g
_____
21g
======
I think this is the answer but i can't confirm because your theory and my theory can be different
What is the least common multiple of 10 and 11 ?
Answers
Answer:
Step-by-step explanation:
The answer is 110
hope this helps :)
You roll two six-sided dice. What is the probability that the sum is equal to 5? Write your answer as a fraction in simplest form.
Answers
Answer:
4/36 but reduce to lowest terms.
Step-by-step explanation:
The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.
4/36 which you can also reduce to lowest terms.
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) I'd say rational number. If p and q are integers, then -(p/a) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
Answers
Given that p and q are integers,
then find out -(p/q) = (-p)/q = p/(-q)
with real world example.
First of all we have know about Integers
a whole number, a number that is not a fraction.
and secondly Rational numbers
A rational number is any number that can be expressed in the form p/q where 'q' is not equal to zero. The quotient of the rational number p/q is nothing but the result that we get when we divide 'p' by 'q'.
For real world contexts we put some value at the place of p and q.
let p=1
q=2
-(1/2) = (-1/2) =(1/-2)
by evaluate it we get ...
-1/2=-1/2=-1/2
Rules for Negative rational numbers
If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that -(p/q) = (-p)/q = p/(-q).If numerator and denominator are of opposite signs.All are less than 0.Hence If p and q are integers, then -(p/a) = (-p)/q = p/(-q).
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Convert celsius to fahrenheit using the following formula f = 95c+32 c = 20 f = ?
Answers
35 degrees Celsius is equal to 95 degrees Fahrenheit.
What is the formula for Celsius to Fahrenheit?
The formula for converting from degrees Celsius to degrees Fahrenheit, which is provided by the expression F=95(C)+32, must be used. To convert the given temperature to degrees Fahrenheit, we must first divide it by five, then multiply it by nine, and then add 32.Without a calculator, how do you convert from Celsius to Fahrenheit?
Here is an easy approach you may use to convert temperatures from Celsius to Fahrenheit. multiply the temperature in degrees Celsius by 2, then add 30 to get the (estimated) temperature in degrees Fahrenheit.F = 9 / 5 * 35 + 32
F = 63 + 32
F = 95
35 degrees Celsius is equal to 95 degrees Fahrenheit.
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What are the coordinates of the vertex for the graph of g(x) = |x+6|
Answers
The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).
Given the equation is g(x) = I x ₊ 6 I
The equation of the absolute value function is:
y = I x ₋ h I ₊ k where (h , k) is the vertex.
When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.
compare the given equation to the above form.
y = I x ₊ 6 I ₊ 0
y = I x ₋ (₋6) I ₊ 0
hence we (h,k) as (₋6 , 0)
Therefore the coordinates of the vertex are (₋6 , 0)
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Which sequences are arithmetic
-5,5,-5,5…
96,48,24,12,6
18,5.5,-7,-19.5,-32
-1,-3,-9,-27,-81
16,32,48,64,80
Check all that apply
Answers
The option for sequences are arithmetic are:
18,5.5, –7, –19.5, –3216, 32, 48, 64, 80.How can the sequence of arithmetic be calculated?
From the first option we can see that -5,5,-5,5… dose not follow any sequence of arithmetic.
if we take the 18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5
Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.
Therefore, since we can have constant results between consecutive numbers then it is sequence of arithmetic.
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Drag the numbers below to put them in order from least to greatest:
0.1 2.4 -7.9 -3.3 -7.7 -13
Submit Answer
Answers
Answer:
-13, -7.9, -7.7, -3.3, 0.1, 2.4
Step-by-step explanation:
Which number contains digits where the hundreds digit is 1/10 the value of the thousands digit?
Answers
The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.Firstly, refer to the image attached for the complete question.
Now,
Given: The value of the digit in the hundreds place in 653,841 is: 800
Now, the following cases arise for the given options:
748,917Value of digit in the thousands place = 8000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(8000) = 800[/tex]
749,817Value of digit in the thousands place = 9000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]
784,817Value of digit in the thousands place = 4000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]
797,481Value of digit in the thousands place = 7000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]
Out of all the options, as shown above, only Option A satisfies the given condition.
Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
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The difference of a number p and 1 is greater than 6
Answers
Answer: p - 1 > 6, or p > 7
Step-by-step explanation:
We will write an expression from the sentence given.
difference of a number (p) and 1 ➜ p - 1
is greater than ➜ >
The difference of a number p and 1 is greater than 6 ➜ p - 1 > 6
To solve for the possible values of p, we will add 1 to both sides of the equation;
p > 7
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A student in a big city lives on the 44th floor of her building. On rainy days, when she gets home from school, she takes the elevator all the way up to her floor. But on sunny days, she goes up to floor 20 and walks the rest of the way. Why?.
Answers
She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.
What is a riddle?A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.
Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.
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The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft
Answers
The width of rectangle is 5 feet.
Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).
Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -
Perimeter = 2 × (length + width)
Keep the values in formula to find the value of width
26 = 2 × (x + x - 3)
Performing addition of variables inside the bracket
26 = 2 × (2x - 3)
Shifting 2 to other side of equation to find the value of x
2x - 3 = [tex]\frac{26}{2}[/tex]
Performing division to find the value of x
2x - 3 = 13
Shifting 3 to other side of equation to find the value of x
2x = 13 + 3
Performing addition to find the value of x
2x = 16
Shifting 2 as denominator to other side of equation to find the value of x
x = [tex]\frac{16}{2}[/tex]
Performing division to find the value of x
x = 8
So, length of rectangle is 8 feet
Width of rectangle = x - 3
Width of rectangle = 8 - 3
Width of rectangle = 5 feet
Hence, the width of rectangle is 5 feet.
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8x=2 |6x -2| please show me the first step
Answers
well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.
[tex]8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill[/tex]
FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
Answers
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
[tex]l+w = \frac{180}{2}[/tex]
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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What will be the value of f(k)?
4x² - 6x +7
Answers
Answer: f(k)=4k² - 6k +7
Step-by-step explanation:
f(x)=4x² - 6x +7
f(k)=4k² - 6k +7
2x + 3y = 1200, 3x + 2y = 1300. what is the value of 5x + 5y using substitution method
Answers
The value of 5x + 5y is 2500 by substitution method.
According to the given question.
We have two equations
2x + 3y = 1200
3x + 2y = 1300
Since, we have to find the value of 5x + 5y by substitution method.
From equation 2x + 3y = 1200
2x = 1200 - 3y
⇒ x = [1200 -3y]/2
Substitute the value of x in 3x + 2y = 1300.
⇒ 3[1200 - 3y]/2 + 2y = 1300
⇒ 3[600 -3y/2] + 2y = 1300
⇒ 1800 - 9y/2 + 2y = 1300
⇒ 1800 + (4y - 9y)/2 = 1300
⇒ (4y - 9y)/2 = -500
⇒ -5y = -1000
⇒ y = 200
So,
x = [1200 - 600]/2 = 600/2 = 300
Thereofore, the value of 5x + 5y by substitution method is given by
5(300) + 5(200)
= 1500 + 1000
= 2500
Hence, the value of 5x + 5y is 2500 by substitution method.
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Justin purchased a 20 pound pumpkin for $9.80. How much did she pay per pound? show your work!
Answers
Answer: so Justin pays 0.49 per pound for each pumpkin
Give me brainliest if it is correct
Step-by-step explanation: so Justin a 20 purchased a pound Pumpkin for 9.80 so first
you put [tex]\frac{9.8}{20}[/tex] and when you divide you get 0.49
Tyrone makes a scale drawing of his backyard. The scale from the backyard to the drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the width of Tyrone's actual patio? Show your work
Answers
Answer:
The width of Tyrone's actual patio is 16 feet
Step-by-step explanation:
[tex]\frac{2ft}{1in}[/tex] = [tex]\frac{x}{8}[/tex] If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft. What do we need to multiple 1 inch by to get 8 inches? 8. So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW
Answers
Line pq is represented by the equation y=-x+2 determine the equation, in slope-intercept form, of the line zw that is perpendicular to line pq and passes through the point z (11,11)
Answers
The equation, in slope-intercept form, of the line zw is y = x.
It is given that, equation of the line pq is:-
y = -x + 2
Also, line pq is perpendicular to line zw
zw passes through the point z (11,11).
We have to find the equation, in slope-intercept form, of the line zw.
The slope intercept form of a line is:-
y = mx + b
Where,
m represents slope of the line,
(x,y) represents every point on the line
b represents the y-intercept of the line
We know that, when two lines are perpendicular, the product of slopes of the lines is -1.
Let the slope of the line zw be m.
Hence,
m*(-1) = -1
m = 1
As it passes from the point z(11,11).
Hence, we can write,
11 = 1(11) + b
11 = 11 + b
b = 0
Hence, the slope intercept form of the line zw is y = x .
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*PLS HELP*
Suppose a and b give the populations of two states where a > b. Compare the expressions and tell
which of the given pair is greater or if the expressions are equal.
a-b
5
(select)
b
5
Answers
here are points A and B Plot the points for each dilation described
Answers
Answer:
No one can answer this
Step-by-step explanation:
You need to add a picture or something because we need more information. This could be a graph, a number line, etc.
Answer:
(Image 1)
d(A,C)=10d(C,B)=8
d(A,B)=d(A,C)+d(C,B)=10+8=18
(Image 2)
AB=AC−BC
=10−8=2
Step-by-step explanation:
helppppp1!!\
(2x+4)=-4(-2x-6)
Answers
Answer:
x=-10/3
Step-by-step explanation:
(2x+4)=-4(-2x-6)
distribute -4 to (-2x-6) by multiplying
negative multiplied by a negative is a positive
8x+24=2x+4
subtract 24 from each side
8x=2x-20
subtract 2x from each side 6x=-20
divide both sides by 6
-20/6
simply to -10/3 or -3 1/3 or -3.3
x=-10/3
hope this helps! if you have any questions please ask!
In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
Answers
The right triangle that shows the length of the two sides is 5.2 and 3.1.
It is required to find the triangle.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given:
In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.
According to given question we have:
Given that angle x will be:
[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]
The opposite to angle x or perpendicular = 3.1 units
The adjacent side to angle x or base angle = 5.2 units
Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.
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Answer:
b
Step-by-step explanation:
A family is comparing different car seats. one car seat is designed for a child up to and including 30 lb. another car seat is designed for a child between 15 lb and 40 lb. a third car seat is designed for a child between 30 lb and 85 lb, inclusive. model those ranges with compound inequalities. which car seats are appropriate for a 32-ib child?
Answers
The Second and third car seats are appropriate for a 32-ib child
The first car :
The range 30 ≤x< 32
So it is not possible for a car seat appropriate for a 32-ib child.
The second car:
The range 15<x <40
So it is possible for a car seat appropriate for a 32-ib child.
The third car:
The range 30< x< 85
So it is also possible.
Hence the second and the third ranged car is possible for a 32-ib child.
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Grayson bought snacks for his team's practice. He bought a bag of popcorn for $3. 50
and a 5-pack of juice bottles. The total cost before tax was $11. 5. Write and solve an
equation which can be used to determine j, how much each bottle of juice cost.
Please include equation and answer(j= )
Answers
If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.
The cost of each bottle can be determined by using an algebraic expression.
An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.
To find the cost of each bottle, an algebraic expression can be given as,
Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax
5j + $3.50 = $11.50
Solving for j,
5j = 11.50 - 3.50
5j = 8
j = 8/5
j = $1.6
Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6
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