Answer:
110.01 (aprox)
Step-by-step explanation:
x + (1/x) = 5
x(x + (1/x)) = x(5)
x*x + x*1/x = 5x
x² + 1 = 5x
x² - 5x + 1 = 0
x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)
x = {5±√(25-4)} / 2
x = {5±√21} / 2
x = {5±4.5826} / 2
x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087
x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913
Comprobación:
x₁
0.2087 + 1/0.2087 = 5
0.2087 + 4.7913 = 5
x₂
4.7913 + 1/4.7913 = 5
4.7913 + 0.2087 = 5
Respuesta:
x₁
(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019
x₂
(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01
find the size of each of the unknown angles
plz give me solution
Answer:
80°Step-by-step explanation:
See the picture
It should be self-explanatory
The top part of the angle a is:
35° + 165° - 180° = 20°The bottom part of the angle a is:
180° - 120° = 60°The measure of angle a is:
20° + 60° = 80°Firstly, draw a line parallel to UT
Something like in the picture
Now,
a = BNU
Also,
BNU + BNM = 165°
Given EH = 12 and EG = 20 , find FJ.
Answer:
10
Step-by-step explanation:
If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20
On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function
Answer:
ok
What do you want me to answer ?
What is the standard form of the expression (3x+4)(x_8)
Answer:
[tex]\left(3x+4\right)\left(x-8\right)[/tex]
[tex]a=3x,\:b=4,\:c=x,\:d=-8[/tex]
[tex]=3xx-3\cdot \:8x+4x-4\cdot \:8[/tex]
[tex]=3x^2-20x-32[/tex]
--------------------------
hope it helps...
have a great day!!
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?
Answer:
There are 16 pink jelly beans.
There are 16+34+24+26=100 jelly beans in total.
The probability is 4/25, or 16%.
Step-by-step explanation: hope this helps and gl :)
Answer:
The answer is 4/25
Step-by-step explanation:
Hope this helps
family of solutions of the second-order DE y y 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 12. y(1) 0, y(1) e
Answer:
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
Step-by-step explanation:
Given
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y(1) = 0[/tex]
[tex]y'(1) =e[/tex]
Required
The solution
Differentiate [tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
Next, we solve for c1 and c2
[tex]y(1) = 0[/tex] implies that; x = 1 and y = 0
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]0 = c_1 * e^1 + c_2 * e^{-1}[/tex]
[tex]0 = c_1 e + \frac{1}{e}c_2[/tex] --- (1)
[tex]y'(1) =e[/tex] implies that: x = 1 and y' = e
So, we have:
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
[tex]e = c_1 * e^1 - c_2 * e^{-1}[/tex]
[tex]e = c_1 e - \frac{1}{e}c_2[/tex] --- (2)
Add (1) and (2)
[tex]0 + e = c_1e + c_1e + \frac{1}{e}c_2 - \frac{1}{e}c_2[/tex]
[tex]e = 2c_1e[/tex]
Divide both sided by e
[tex]1 = 2c_1[/tex]
Divide both sides by 2
[tex]c_1 = \frac{1}{2}[/tex]
Substitute [tex]c_1 = \frac{1}{2}[/tex] in [tex]0 = c_1 e + \frac{1}{e}c_2[/tex]
[tex]0 = \frac{1}{2} e+ \frac{1}{e}c_2[/tex]
Rewrite as:
[tex]\frac{1}{e}c_2 = -\frac{1}{2} e[/tex]
Multiply both sides by e
[tex]c_2 = -\frac{1}{2} e^2[/tex]
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^2 * e^{-x}[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
Please help me with this.
I need a maths genius
See pic below.
Thanks
Answer:
a =15
b=70
c=400
d=1500
e=5300
Step-by-step explanation:
it will help u
Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.
Answer:
-2.179
Step-by-step explanation:
Given :
Degree of freedom, df = 12
Area to the left = 0.025
The value of T can be obtained using either a t distribution table or a T value calculator :
t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788
Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179
AD = 6, DC = 8, find DB
Answer:
10
Step-by-step explanation:
use a^2+b^2=c^2
6^2+8^2=c^2
100=c^2
sqrt it and you get 10 for AC and AC=DB
Answer:
according to Pythagoras theorem, c²=a²+b²
|AC|²=|AD|²+|DC|²
|AC|²=6²+8²
|AC|²=36+64
|AC|²=100
√|AC|²=√100
|AC|=10
What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
To learn more about Federal Reserve refer to:
https://brainly.com/question/382312
#SPJ2
the angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the height of the tower.
Answer:
20.485 Meters
Step-by-step explanation:
So first you wanna draw a diagram. Start with the tower, then on the ground to the left (or right) draw a point. The point will be labeled as 42 m away from the tower. Now draw a line from that point to the top of the tower. This makes your triangle, and that angle you just drew that touches the point is 26 degrees.
Now, since you have a right triangle you can use trig. You know an angle and a side. Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower. So opposite and adjacent is tangent. So you set up tan(26) = o/42 where o is the opposite side.
So solving you get o = 20.485 meters
The value of the expression 10 - 1/2^4 x 48
A = 2
B = 4
C = 5
D = 7
Answer:
option d is correct answer
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
height of the tree ≈ 8.42 m
Step-by-step explanation:
The diagram given represents that of two similar triangles. Therefore, the corresponding lengths of the similar triangles are proportional to each other.
height of tree = h
Therefore:
1.45/h = (31.65 - 26.2)/31.65
1.45/h = 5.45/31.65
Cross multiply
h*5.45 = 1.45*31.65
h*5.45 = 45.8925
h = 45.8925/5.45
h ≈ 8.42 m (nearest hundredth)
Can someone help me with this math homework please!
Answer:
1st option.
0 to 100 miles per hour
Step-by-step explanation:
as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.
Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.
out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).
so the domain is
0 to 100 miles per hour.
Answer:
(A) 0 to 100 miles per hour
Step-by-step explanation:
The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.
The only answer that is related to the speed is the first answer choice.
Hope that helps (●'◡'●)
Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3
Answer:
48
Step-by-step explanation:
let the number be x and x + 16 the result of adding 16 to it, then
the ratio of the result to the original is
[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 3(x + 16) = 3x + 48 ( subtract 3x from both sides )
x = 48
two parallel lines are crossed by a transversal.
Answer:
[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]
When a pair of parallel lines is intersected by a transversal, then
Corresponding angles are equal.
∠2 and ∠6 are corresponding angles.
So, m∠2 = m∠6
=> m∠2 = 123.5°
We know that linear pair of angles are supplementary (180°).
∠1 and ∠2 are linear pair of angles.
So, m∠1 + m∠2 = 180°
=> m∠1 + 123.5° = 180°
=> m∠1 = 180° - 123.5°
=> m∠1 = 56.5°
express 3 as a percent of 5
Answer:
0.15
Step-by-step explanation:
first get three percent:
3/100 = 3%
then use of operation:
3% of 5;
= (3/100) * 5
Answer:
60%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , then
[tex]\frac{3}{5}[/tex] × 100% = [tex]\frac{3(100)}{5}[/tex] = [tex]\frac{300}{5}[/tex] = 60%
four tens + four nines
Answer:
[tex]76[/tex]
Step-by-step explanation:
Write the question in equation form
[tex]4(10)+4(9)[/tex]
Multiply
[tex]40+36[/tex]
Add
[tex]76[/tex]
Can someone help me with this math homework please!
Answer:
#1: (B, D, E)
#2: (D) f(q) = 2q + 3
#3: (C) 1
#4: (B) f(5) = -1
#5: (A) - 8
Step-by-step explanation:
Question 1:
The number inside the parentheses is the input value, or x coordinate, and the output value (the number on the right side of the equal sign) is the y coordinate.
Use basic graph plotting skills to see if the x coordinate has a y coordinate value that's ON the graph line.
Question 2:
The variable "q" is our independent variable, also known as our x variable if you used the y = mx + b formula.
To rewrite 6q = 3s - 9 into function notation, you would solve for variable "s" using basic algebra:
6q = 3s - 9
6q + 9 = 3s
2q + 3 = s
s = 2q + 3 or f(q) = 2q + 3
Question 3:
The number inside the parentheses, -2, is the input value, or the x coordinate. Looking at the table, you can see that when you input -2, you get an ouput of 1.
Question 4:
Use the same process as Question 1.
Question 5:
The number inside the parentheses, 5, is the input value, or the x coordinate. Looking at the table, you can see that when you input 5, you get an ouput of -8.
Hope it helps (●'◡'●)
Answer:
1. (2), (4), (5)
2. (4l
3. (3)
4. (2)
5. (1)
Step-by-step explanation:
1.
g(0) = 0
g(-1) = 1
g(1) = 1
2.
since q is the independent variable s must be dependent on q and hence s must be equal to f(q)
6q = 3s - 9
3s = 6q + 9
s = 2q + 3
f(q) = 2q + 3
that is the last option
3.
= 1
4.
= -1
5.
= -8
Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units
Answer:
16.3
Step-by-step explanation:
i just took the quiz
Answer:
16.3 units
Step-by-step explanation:
Helloo, I just took the quiz too and the answer is 16.3
Express each of the following negative angles as its equivalent positive angle between 0°and360°
+120°
Answer:
Dilated pupils
Long periods of wakefulness
Loss of appetite
Overconfidence
Over-excitement
Paranoia
Runny nose or frequent sniffles
White powder around nostrils
Legal issues
Missing or being late to work
Financial problems
Mood swings
Irritability
Depression
Determine which statement or statements are true. If none write “none”.
SOMEONE PLSSSS HELP ME WITH 4-6 THANK YOU SO MUCH!!!! LIFE SAVER!!!!
Answer:
4. D.
5. C.
6. A.
Step-by-step explanation:
It's just simple ratios... It's been a while since I learned it so I don't really remember how to explain the answers.
How do u solve this ?
Joe wants to add cucumbers to his garden and knows the rectangular area is represented by x^2 - 4x - 21 square units. What expressions would represent the length and width of the cucumber field?
Given:
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
To find:
The length and width of the cucumber field.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where l is length and w is width of the rectangle.
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.
[tex]A=x^2-4x-21[/tex]
Splitting the middle term, we get
[tex]A=x^2-7x+3x-21[/tex]
[tex]A=x(x-7)+3(x-7)[/tex]
[tex]A=(x-7)(x+3)[/tex]
Area of a rectangle is the product of length and width.
Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.
Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP
Answer:
12
Step-by-step explanation:
Total CD's Lisa bought = 15
Jazz music = 3
World music = x
Find x
Total CD's Lisa bought = Jazz music + World music
15 = 3 + x
Subtract 3 from both sides of the equation
15 - 3 = 3 + x - 3
12 = x
x = 12
Therefore,
World music = x = 12
a train leaves Westchester at 6:30. What time should it arrive at Middlewich
Answer:
a). 6:51
b). 6:30 am
c). 34 minutes
Step-by-step explanation:
a). Train leaves Westchester at 6:30.
From the arrival - departure table in column (2),
Arrival time of the train at middlewich = 6:51
b). Kate has to reach Southam before 9:00 am
Therefore, time of the latest train that she can catch to get to work on time is 6:30 am
By this train she can reach at 07:19 at Southam.
c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00
= 00:34
≈ 34 minutes
The probability that Caroline wins a raffle is given by the expression
m/n.
Write down an expression, in the form of a combined single fraction, for the probability that Caroline does not win.
Answer: [tex]\frac{n-m}{n}[/tex]
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
==================================================
Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]
and now the expression is one single fraction.
Which number line model represents the expression -2+(-7)
Answer:
B
Step-by-step explanation:
Start at zero.
Go 2 units left to -2.
Then go another 7 units left to add -7.
Answer: B
Solve the equation : 4x-(-2)=18
[tex]\large\boxed{ \sf{Answer}} [/tex]
[tex]4x - ( - 2) = 18 \\ 4x + 2 = 18 \\ 4x = 18 - 2 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Step-by-step explanation:
4x-1-2=18
4x+2=18
4x=18-2
4x=16
x=16/4
x=4
Is the graph increasing, decreasing, or constant