The Solution to the given equation is gotten as; x = 0.4913
How to solve differential equations?We are given the equation;
e³ˣ + eˣ - 6 = 0
Let u = eˣ. Thus, our equation is now;
u³ + u - 6 = 0
Factorizing this to find the roots gives us;
u = 1.6344
Thus;
eˣ = 1.6344
x = In 1.6344
x = 0.4913
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Esperanza buys a new toy for $10.50 plus 4% tax. Then she buys new shoes for $28 plus 6% tax. Enter the sum that Esperanza paid, including tax.'
Answer:
$40.60
Step-by-step explanation:
10.50+4%=10.92
28+6%=29.68
10.92+29.68=40.60
x:20 = 5:x
Calculate the positive value of x
Answer:
10
Step-by-step explanation:
x/20= 5/x
x²= 100
x=√100
X=±10
x=10
Answer:
x = 10
Step-by-step explanation:
expressing the ratios in fractional form
[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )
x² = 100 ( take square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
the positive solution is x = 10
GUYSS PLSS I NEED HELP ON ALL OF THEMM PLSSS
Answer:
acute triangle
Step-by-step explanation:
4 6 7 - Acute scalene triangle, area = 11.98
please help!!!!!!!!!
All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.
Now, For all the statements al the correct postulate are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Thus, All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
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what is the value of y in this triangle?
Answer:
26 degrees.
Step-by-step explanation:
The angles of triangles will always add up to 180 degrees.
The first angle is 50 degrees.
The second angle, is shown with a 76 degree angle next to it.
Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.
104 + 50 = 154 degrees.
The remaining 26 degrees is the answer to the value of y.
Can i have some help Please! (Brainliest As Well if it lets me) Pick question 16 or 17 to answer i only have to do one Be specific in your comparisons - think about K (dilation scale factor) and how K changed for circumference versus area. You will need to look up the formula for surface area of a sphere.
For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.
How to compare the change in surface and volume?
Let's answer question 17.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*pi*R^3[/tex]
And the surface area is:
[tex]S = 4*pi*R^2[/tex]
So the volume depends on the cube of the radius and the surface on the square of the radius.
Now, if we double the diameter of the moon, then we also double the radius.
So the new volume will be:
[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]
The new volume is 8 times the original volume.
And for the surface:
[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]
So the new surface is 4 times the original surface.
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Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Rate
(Rooms per Hour)
Time
(Hours)
Fraction Completed
Layna
One-fourth
Bebe
One-seventh
One-fourth t + one-seventh t = 1
One-fourth t times one-seventh t = 1
4 t + 7 t = 1
4 t minus 7 t = 1
The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.
Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :
[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]
Further solving it we get;
7 t + 4 t = 28
11t = 28
t = 2.5 hours.
Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
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In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)
[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]
After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, the person pays Rs 14,500 annually as the premium of his/her insurance. Calculate the annual income tax paid by the person.
Need correct answer
The annual income tax paid by the person is: $4,500.
Annual income taxUsing this formula
Annual income tax=[Salary÷(1-percentage deduction)]- Salary
Let plug in the formula
Annual income tax=[40,500÷(1-10%)]-40,500
Annual income tax=45,000-40,500
Annual income tax=4500
Therefore the annual income tax paid by the person is: $4,500.
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if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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(x - 6)². Multiply it and simplify it
Answer:
x^2-12x+36
Step-by-step explanation:
The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.
Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.
The functions and their descriptions are:
Polynomial: [tex]y = \frac{5x^3}{8}[/tex] and [tex]y = 5x^3 + 8[/tex]Logarithm: [tex]y = 6 + 0.25\ln(x)[/tex]Exponential [tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]How to describe the functions?The functions are given as:
[tex]y = \frac{5x^3}{8}[/tex]
[tex]y = 6 + 0.25\ln(x)[/tex]
[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]
[tex]y = 5x^3 + 8[/tex]
The functions would be described based on the type of function they represent.
Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.
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Answer:
Select the correct word to describe the function.The equation represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.
Step-by-step explanation:
you are so welcome
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 8.8
Step-by-step explanation:
Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.
So, by the triangle proportionality theorem,
[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]
Fill in the blank. using decimals write the number 348.562 in expanded form:
348.562 =
Answer / Step-by-step explanation:
(300.500+40.60+8.2)=348.562
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 52 feet. The height is 18 feet. What is the area of this section of the deck?
Answer:
Area of section is 981 square feetStep-by-step explanation:
Given trapezoid with:Bases 57 feet and 52 feet;Height 18 feet.To findArea of trapezoidSolution
Equation of area:
A = (b₁ + b₂)h/2Substitute values and calculate:
A = (57 + 52)*18/2 = 109*9 = 981 ft²find the value of x to the tenths place
Answer:
x = 15
[x = 15.0]
Step-by-step explanation:
we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem
[note: "c" is what they are referring to as "x" here]
a² + b² = c²
a : 12
b : 9
[c = hypotenuse/x/unknown side]
12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c
{x = 15.0}
Which statements are true about the graph of function f? f(x)=logx
The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.
What is a logarithm function?A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].
The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.
Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).
In conclusion, we can deduce that the range of this function is -∞ < y < ∞.
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Answer:
domain:
c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.
and pretty sure the range is:
b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.
because all real numbers
Step-by-step explanation:
hope this helped
Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x
Answer:
the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36
You flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times?
For the given experiment, the relative frequency of getting tails is:
R = (12/25)*100% =48%
How to get the relative frequency?
If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).
The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.
In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:
R = 12/25
If we want to write it in percentage form, then we get:
R = (12/25)*100% =48%
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Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 18.6%
Calculating percent errorThe formula for calculating the percent error is expressed as:
%error = actual - measure/actual * 100
Given the following
actual length = 13.4 in
Measured =10.9in
Substitute
%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%
Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%
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A debate team consists of five freshmen and four sophomores. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the freshmen are standing next to each other
Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, we have that:
The 2 freshmen are in 2! positions, in any of the 8 positions from 1 to 8.The other 7 students are arranged in 7! positions.Hence the number of ways in which they can be lined up is given by:
N = 2! x 8 x 7! = 80,640.
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2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?
x=3
none of these are false.
x=1
x=7
Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.
What is the Triangle Inequality Theorem?The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.
Applying the triangle inequality theorem, it means the following should be true for any value of x given:
x + 2 + x + 3 > 3x - 2
2x + 5 > 3x - 2
Plug in x = 3 to find out:
2(3) + 5 > 3(3) - 2
11 > 4 (True)
Plug in x = 1 to find out:
2(1) + 5 > 3(1) - 2
8 > 2 (True)
Plug in x = 7 to find out:
2(7) + 5 > 3(7) - 2
19 > 19 (FALSE)
Therefore, the false statement is: D. x = 7.
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help please ! will give brainle <3
Answer:
55 percent
Step-by-step explanation:
simply add all the teams you get a 1.00 turned to percent its a 100 percent probability
then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent
them subtract 100-45 you get 55 percent that a team not from River City will win
helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle
answer : 70.6
steps :
I attached a picture
you see 9.6?
it's also 9.6 on the side that is 17.2
if you look at the picture I attached you'll know what I mean
on the side that is 15.7 it's
15.7 - 9.6 =
6.1 on the other part of the side that is 15.7
that means it's
6.1 on a part of the side that doesn't have a measurement
on the side that 17.2 it's
17.2 - 9.6 =
7.6 on the other side
that means it's also
7.6 on the side that's 19.6
19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also
12.0 partly on the uncensored side
on the side that doesn't have a measurement it's
12.0 + 6.1 = 18.1
so
all sides are :
19.6+17.2+15.7+18.1=
70.6 <- which is the answer
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Select the correct answer from the drop-down menu.
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.
Cool Room Temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 4
Based on the information, which statement about the eggs is correct?
Given the egg has
hatched
, the egg was kept warmer than room temperature.
HELP!!! 100 PNTS+BRANLIEST TO QUICK AND CORRECT ANSWER!!!!!!!!
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
The attached figure represents the box and whisker plots
How to create a box and whisker plot?To do this, we start by converting the tallies in the frequency table to numerical values.
So, we have:
Monday Tuesday Wednesday Thursday Friday
On Time 6 3 2 10 10
Late 1 0 3 4 10
Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots
See attachment
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The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.
Answer:
the area is 168
Step-by-step explanation:
the formula for trapezoids is a+b/2 multiplied by the height
Given f (x) = -3 + 5, solve for x when f (x) = -4
The value of x when f(x) = -4 is 3
How to solve the function?The function is given as:
f(x) = -3x + 5
When f(x) = -4, we have:
-4 = -3x + 5
Subtract 5 from both sides
-3x = -9
Divide both sides by -3
x = 3
Hence, the value of x when f(x) = -4 is 3
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Answer:
x = 3
Step-by-step explanation:
Hello!
Think of this as a linear equation: y = -3x + 4.
If f(x) = -4, it means that y = -4.
Plug in the value for y and solve for x.
Solvef(x) = -3x + 5y = -3x + 5-4 = -3x + 5-9 = -3x3 = xThe value of x is 3.
The odds of an event happening are
What are the odds against the event happening?
Answer:
The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.
Step-by-step explanation: