Answer:
[tex] \pm \sqrt{13} [/tex]
Step-by-step explanation:
[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]
What is the unit price of a 6 ounce tube of toothpaste that costs $3.75?
Answer:
$0.62
Step-by-step explanation:
Step 1:
$3.75 ÷ 6 = $0.62
Answer:
$0.62
Hope This Helps :)
Answer:
0.625
Step-by-step explanation:
Divide the cost by the amount (3.75÷6)
3.75÷6= 0.625
Which of the following is not found in an expression:
-
+
X
=
Answer:
=
Step-by-step explanation:
In an expression, its not the whole thing. EX: (2x + 3)
Thats an expression
solve the equation: - 9 + x = 17
Answer:
x = 26
Step-by-step explanation:
Start with - 9 + x = 17, or -9 + x = 17
Solve for x by isolating x on the left side. To do this, add 9 to both sides, obtaining x = 26
State the corresponding sides and angles.
Answer:
in the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
Clear parentheses and combine like terms:
Answer:
-3p - p²
Last option
Step-by-step explanation:
Step 1: Write out expression
2p - 7p² - 5p + 6p²
Step 2: Combine like terms (p²)
-p² + 2p - 5p
Step 3: Combine like terms (p)
-p² - 3p
Step 4: Rewrite
-3p - p²
solve the equation 1 = 6 (1 - p)
Answer:
p = 0.8333333333
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Answer:
0.833
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Simplifying
p = 0.8333333333
which statement about the diagram are true? Check all that apply.
Answer:
M<Jkl=45•
M<mkq+m<pkq=m<pkm
Pk is an angle bisector.
Step-by-step explanation:
Solve the following equations. Show your work. Submit to your teacher when you have completed the sheet.
Answer:
1. y=3
2.x=4
3. k= -2
4.n= -45
5. c = -3
6. p = 4
7. t = 0
8. r = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Sarah is conducting a science experiment. The directions tell her to mix 5 parts of substance A with every 3 parts of substance B . If she uses 15 milliters of substance B how many milliters of substance A should she use ?
(x - 8 ) -3(2x+5)-(-2x-4)
What is the answer for this question
Answer:
It's the second one.
Step-by-step explanation:
It's the second one because the volume of the radius is v and 4/3 gives the radius and after that if you look at the second three then use a calculator to multiple the numbers up it tells you what the numbers are and the number give you r for the volume so it makes it the second one.
100 cm is equal to:
A. 0.1 m
B. 1,000 m
C. 10 m
D. 1 m
Answer:
D. 1 m
Step-by-step explanation:
100 cm = 1 m
This is a conversion factor
The answer is D. 1m
100cm = 1m
This is a conversion that a lot of people use to convert meters to centimeters or centimeters to meters.
Best of Luck!
you and some friends have raised $250 to help make a video for a contest. You need $35 to buy video tapes. It costs $45 per day to rent the video camera for the first day and $30 for each additional day. Write an inequality to find the possible numbers of days you can rent the video camera.
Answer:
80 + 30 n ≥ 250
Number of days = 5
Step-by-step explanation:
Given:
Total money = $250
Video tape cost = $35
1st day for camera ranting = $45
Additional daily cost = $30
Find:
Inequality
Number of days
Computation:
Assume number of days = n
So,
35 + 45 + 30 n ≥ 250
80 + 30 n ≥ 250
30 n ≥ 170
n = 5 days
Number of days = 5
The Earth is approximately a sphere of diameter 12742 km. The surface area of a sphere is given by the formula A = 4π r² Calculate the surface area of the Earth. Give your answer in metres squared and in standard form. (Take pi = 3.142) *
Answer:
5.101 x 10^14 m^2
Step-by-step explanation:
First you have to convert km to metres (the final answer must in metres).
So that would be 12742000m. Remember this is the diameter. The radius is half the diameter. So the radius would be 6371000m.
You then put it into the formula: 4 x π x 6371000².
And then you would get the answer: 5.101 x 10^14 m^2
un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿Aquien le corresponde mas?
Answer:
El niño con 14 años es el que tiene más derechos según su edad.
Step-by-step explanation:
Aquí, tenemos un abuelo que quiere compartir una cantidad de dinero entre sus nietos y queremos saber cuál de sus nietos tiene más derecho a este dinero proporcionalmente.
Creo que va a utilizar la edad de los niños como valor de proporcionalidad.
Así, compartiendo la cantidad entre sus hijos, tenemos; 14: 10: 6 que es 7: 5: 3
Entonces, lo que esto significa es que el niño con 14 años tomará 7 de los 15 lugares y es el que tomará la cantidad más alta.
Entonces, usando la edad como criterio, el niño con 14 años tiene más derecho a la cantidad a compartir.
Solve: 2x ≤ -2/3 (4x + 4)
Answer:
x ≤ 4/7
Step-by-step explanation:
Simplify the given 2x ≤ -2/3 (4x + 4) by multiplying both sides by (3/2):
(3/2)(2x) ≤ (3/2)(-2/3)(4x + 4)
We get 3x ≤ -4x - 4
Solve for x by combining like terms. Add 4x to both sides, obtaining
7x ≤ 4
and so the solution is the set
x ≤ 4/7
A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that __________.
Answer:
Any possible observation and perhaps a research project could show if a given hypothesis seems to be inaccurate.
Step-by-step explanation:
The prediction seems to be the hypothesis because it requires anything other than an assumption. The theory almost all of the moment begins with the problem which would then be discussed throughout context analysis. Only then do investigators or scientists begin to establish observable well as testable theory.Which pair of numbers is relatively prime
Answer:
Well, Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Step-by-step explanation: Hope this helped! <3
Write the improper fraction as a mixed number in simplest form 23/6
Answer:
3 5/6
Step-by-step explanation:
Step 1:
23/6 = 3 5/6
Answer:
3 5/6
Hope This Helps :)
Answer:
3 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You multiply 6 and 3 and add 5. It will give you [tex]\frac{23}{6}[/tex]
I need help ;-; can somebody help me Idk
Answer:
Khan academy allows a great amount of resources.
Step-by-step explanation:
1. Khan Academy allows students to have access for free, and allows practice exercises, instructional videos, and a personalized learning dashboard to help students engage.
2. You are able to find resources and questions by going to the Khan Academy help center for info that you need.
3. Khan Academy has a variety of quizzes, tests, video tutorials, and personalized practice recommendations on different subjects. There are a variety of SAT study tools that the students are able to utilize throughout the course.
In conclusion, these are the main reasons that explain Khan Academy's resources.
I hope this helps! :)
Write the augmented matrix for the following system of equations.
2z = - 4y - 9x
0 = 4x + 6z + 2
2z = 2 + 3y
2,4,6,8... arithmetic
Answer:
Yes, it is an arithmetic Sequence. Can you explain the question just a tad more
Step-by-step explanation:
Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?
If the altitudes of two different triangles are in the ration of 2 is to 3 find the ratios of their areas and also the ratio of their corresponding medians
Answer:
The ratio of corresponding sides is 2:3
Step-by-step explanation:
Given, the corresponding medians of two similar triangles are in ratio of = 2:3
We know that,
The ratio of corresponding median = ratio of their corresponding altitude
So the ratio of the corresponding median is equal to the corresponding altitude is 2:3.
So, the ratio of their corresponding sides will also be 2:3.
And the ratio of the area of two triangle = square of the ratio of their corresponding sides.
a = cost of one adult’s ticket to the zoo, a-4= cost of one childrens ticket to zoo, 2a + 4(a - 4)=38. write a word problem.
An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?
Answer:
28 tickets were purchased
Step-by-step explanation:
How can parallel lines be used to compare figures E and F? Explain your reasoning.
Answer:
The similarities are
1) The length of E and F can be described by two parallel lines spaced 3 blocks apart where the parallel line on the left of both E and F is 2 blocks long, while the parallel line on the right is one block long
2) Both height of E and F can be described by two parallel lines spaced 2 blocks apart where the parallel line on the top of both E and F is 3 blocks long, while the parallel line at the bottom is one block long
3) The interior of E an F can be described by parallel lines 2 blocks long in the horizontal portion and one block long in the vertical portion
The differences are
1) The difference between E and F is that the parallel lines used for the construction of E are all one block higher than that of F
2) The other difference is that all the lines used for the construction of the figure E are 3 blocks to the left of those used for the construction of F
Figure F is essentially the translation of figure E three blocks to right and one block down
Step-by-step explanation:
A car's velocity changes from 0m/s to 50 m/s in 2 seconds. How large was the car's
acceleration?
Answer:
25 m/s^2
Step-by-step explanation:
acceleration = speed/time
50 m/s / 2 s = 25 m/s^2
105 centimeters to meters 105 centimeters= __m. _________
Answer:
1.05 meters
Step-by-step explanation:
To convert centimeters to meters, we need to divide the number by 100.
So 105/100= 1.05
Answer:
105 cm = 1.05 m
Step-by-step explanation:
For this problem, it is important to know metric conversions. Metric conversions are based on powers of ten. The prefix centi- means 100 (Like how a century is 100 years), and in the metric system is used to represent one-hundredths.
To convert 105 centimeters to meters, we need to divide by 10^2 or multiply by 10^-2 (both are the same).
So we can say the following:
105 cm * 10^-2 = 1.05 m
Hence, 105 centimeters is 1.05 meters.
Cheers.
what is the inverse of f(x)= 1/4x- 7
Answer:
f−1(y)=4(y−7) is the inverse function