Answer:
1 to 7 days
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]
[tex]10x - 2 = 2[/tex]
[tex]10x = 2 + 2[/tex]
[tex]10x = 4[/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x = 0.4[/tex]
Jeremiah's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]
[tex] - 2 = - 10x + 2[/tex]
[tex] - 2 - 2 = - 10x[/tex]
[tex] - 4 = - 10x[/tex]
[tex] \frac{ - 4}{ - 10} = x[/tex]
[tex]0.4 = x[/tex]
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.
Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)
Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
211 base x is equal to 10110 base 2
Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work
Answer:
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Step-by-step explanation:
8k 3k^3
--------- - -----------
9k-4 2k+7
Get a common denominator
8k *(2k+7) 3k^3 *(9k-4)
--------- - -----------
(9k-4)(2k+7) (9k-4)(2k+7)
Combine
8k *(2k+7) -3k^3 *(9k-4)
---------------------
(9k-4)(2k+7)
Distribute
16k^2+56k -27k^4 +12k^3
---------------------
(9k-4)(2k+7)
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
Find the slope between the points (−3,−5) and (10,-5)
. Enter DNE if the slope between the points is undefined.
Answer:
0
Step-by-step explanation:
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-5 - (-5)}{-3 - 10} [/tex]
[tex] m = \dfrac{0}{-13} [/tex]
[tex] m = 0 [/tex]
from -3 to 10 are 13 steps to the right and from -5 to -5 0 steps up or down.
devide the steps up by the steps to the right
0 / 13 = 0
in this case it's obvious, but I hope you see the method how to do this. you would normally get a more interesting fraction as a slope.
PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answer:
Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
If you like peanut butter and chocolate, then you will love Reese's.
What is the converse of the statement?
Answer:
Reese's love peanut butter and chocolate
hope it helps u
plz mark it as brainliest
Pls help this set question
1: True
2: False
3: False
4: True
5: False
6: True
?
Which graph contains the points of intersection
satisfying this linear-quadratic system of equations?
x2 + y2 = 20
x-y + 2 = 0
Answer:
Step-by-step explanation:
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.
Answer:
Step-by-step explanation:
x is the original price.
420/x = 70% = 0.7
x = 420/0.7 = 600
Original price of bracelet was £600
The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)
Answer:
180
Step-by-step explanation:
What is the mean absolute deviation? 6,5,7,2,4,8
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.
Someone please help me ASAP please
Answer:
hey mate
plz mark it as brainliest
Write the solution set of the equation x2 – 4=0 in roster form
Answer:
Step-by-step explanation:
x²-4=0
(x+2)(x-2)=0
x=-2,2
solution is x∈{-2,2}
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
Help please guys if you don’t mind
Step-by-step explanation:
Step 2:
[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]
Stepc3:
[tex]3x(5x - 3)[/tex]
Please help me with this... will give brainliest
Answer:
94 cm^2
Hope it helps!
HELP i need help on part b
Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years.
Number of years 1 2 3
House 1 (value in dollars) 253,980 259,059.60 264,240.79
House 2 (value in dollars) 256,000 263,000 270,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points)
Answer
Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000
House 1: exponential function
House 2: linear function
House 1: f(x) = 249,000 * (1.02)^(x-1)
→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60
House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000
House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110
House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000
House 1 will have a greater value than House 2 after 45 years.
Step-by-step explanation:
Hope this helps, if not let me know and I will fix it.
Part A
The value for house 1 follows an exponential growth function since the value is increasing by 2% each year. This is because we multiply each value by 1.02 to get the next year's value.
249,000*1.02 = 253,980253,980*1.02 = 259,059.60259,059.60*1.02 = 264,240.792 = 264,240.79In contrast, house 2's value increases by the same amount each year (7000 per year)
249,000 + 7,000 = 256,000256,000 + 7,000 = 263,000263,000 + 7,000 = 270,000This fixed amount it increases directly leads to house 2 having linear growth.
-----------
Summary:House 1 = exponential functionHouse 2 = linear function=================================================
Part B
The equation for house 1's value is y = 249000(1.02)^x
This is in the form y = ab^x, where a = 249000 is the starting value and b = 1.02 is the growth rate factor.
We can think of 1.02 as 1+0.02 to represent the 2% growth.
In other words, 1.02 = 1+r solves to r = 0.02 = 2%
-----------
The equation for the second home's value is y = 7000x+249000
The slope m = 7000 tells us how the value is going up per year.
The y intercept b = 249000 is the original home value (when x = 0).
-----------
Summary:Equation for home 1 is f(x) = 249000(1.02)^xEquation for home 2 is f(x) = 7000x+249000=================================================
Part C
Let's plug x = 45 into each equation mentioned in part B
For home 1, we have
f(x) = 249000(1.02)^x
f(45) = 249000(1.02)^45
f(45) = 607,025.697
f(45) = 607,025.70
So that's the value of home 1 after 45 years of constant 2% growth per year
For the second home, we have,
f(x) = 7000x+249000
f(45) = 7000*45+249000
f(45) = 564,000
So there is a significant difference. This difference is 607,025.70 - 564,000 = 43,025.70 dollars.
-----------
Summary:Home 1's value = $607,025.70Home 2's value = $564,000This is a difference of $43,025.70 which is fairly significant. It's better to go with home 1.Find the measure of the third angle of a triangle if the measures of the other two angles are given.
102.9 and 40.4
Answer:
36.7
Step-by-step explanation:
180 - 102.9 - 40.4= 36.7
The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.
The measures of the two angles of a triangle are 102.9 and 40.4.
We need to find the measure of the third angle.
What is the Angle Sum Property of a triangle?The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.
If A, B, and C are the interior angles we have,
A + B + C = 180.
Consider the three interior angles to be A, B, and C.
We are given two angles 102.9 and 40.4.
Let A = 102.9, B = 40.4.
and C = angle to be measured.
Now,
Applying the angle sum property of a triangle.
We have,
A + B + C = 180
102.9 + 40.4 + C = 180
143.3 + C = 180
C = 180 - 143.3
C = 36.7 degrees.
After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.
Learn more about the measurement of angles in a triangle here:
https://brainly.com/question/27681289
#SPJ2
In the diagram below ,
Answer:
it doesn't show anything
luis tiene 3 años más que
Ines. La edad de Antonio
suma de las edades de ambos.
¿ Cuales Son las edades de Luis
e Ine's si antonio tiene 15 años?
Answer:
NMHGJMHBNKJ6T76 5745
Step-by-step explanation:
7657457657776767
Which ordered pair is a solution of 2x+4y=6x-y
Answer:
5y=4x
Step-by-step explanation:
In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?
Answer: 3172
Step-by-step explanation:
A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?
Answer:
626
Step-by-step explanation:
So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger
the theater sells two types of tickets: adult tickets for $6 and child tickets for 5$. last night, the theatre sold a total of 375 tickets for a total of $2153. How many adult tickets did the theatre sell
Answer:
358
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next
Answer:
36 spuare units
Step-by-step explanation:
A= 1/2 b*h
b=8
h=9
A=1/2(8*9)
A=1/2(72)
A=36
Can you help me with this question? It’s in the photo
Answer:
Option (d), (e) and (f) are correct.
Step-by-step explanation:
In triangle MNP, angle P = 90 degree
Cos M = 7 / 12
Now according to the right angle triangle
[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]
Now
[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]
