Answer:
Es igual a 7.
Step-by-step explanation:
Ok, sabemos que:
[tex]2^x + 2^{-x} = 3[/tex]
Queremos calcular:
[tex]4^x + 4^{-x}[/tex]
Tambien sabemos que 4 = 2*2
Entonces:
[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}[/tex]
y sabemos que 2*2 = 2^2
Entonces:
[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}[/tex]
y ahora podemos usar la relación:
[tex](a^n)^m = (a^m)^n = a^{m*n}[/tex]
entonces:
[tex](2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2[/tex]
Ahora podemos completar cuadrados sumando y restando el termino:
[tex]2*(2^x)*(2^{-x})[/tex]
Asi tendremos:
[tex](2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]
Entonces de momento tenemos que:
[tex]4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]
Sabemos que el termino que esta dentro del parentesis es igual a 3.
Y tambien podemos usar la propiedad:
[tex]a^n*a^m = a^{n + m}[/tex]
en el termino de la derecha.
Asi tendremos:
[tex](2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7[/tex]
What is the distance between the origin and the point (2,-5) on a graph? The options are: square root of 7. Square root of 29. 7. 29.
Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.
AB intersects CD at point E. What is the value of X in degrees?
Answer:
x = 132°
Step-by-step explanation:
∠AED and ∠CEB are both vertical angles. Vertical angles will always be equal to each other, so ∠AED = ∠CEB.
Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.
(∠CEB is the x value you're asking about by the way).
If you have any questions, or anything was confusing, comment them and I'll help you out.
In a small town of 5,832 people, the mayor wants to determine the proportion of voters who would support an increase to the food tax. An assistant to the mayor decides to survey 1,000 randomly chosen people to construct a 90% confidence interval for the true proportion of people who would support the increase in food tax. Of the sample, 363 people say they would support the increase. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
No, the 10% condition is not met is the answer.
1,000/5,832 is 0.1714, or ~17%, which is more than 10% of the population.
No, the 10% condition is not met.
Ratio:
'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.'
Proportion:
'A proportion is an equation in which two ratios are set equal to each other.'
According to the given problem,
Total number of people in the town = 5832
Number of people to be surveyed = 1000
Ratio of number of people chosen to the total population = [tex]\frac{1000}{5832}[/tex]
= 0.17
Therefore percentage of people to be surveyed = 0.17 × 100
= 17%, which is more than 10%
Hence, we can conclude that the 10% condition is not met.
Learn more about Ratio and Proportion here:
https://brainly.in/question/30210407
#SPJ2
help with segment relationships in circles...picture attached.
The equation for the perimeter around Claire's garden is a:
O Linear Function
O Exponential Function
O Quadratic Function
O Absolute Value Function
Answer:
Linear function
Step-by-step explanation:
Took da test ;)
A rectangular box has a volume of 15 cubic feet. The length, width, and height of the box are each doubled.
What is the new volume of the rectangular box?
A. 30 cubic feet
B. 60 cubic feet
C. 90 cubic feet
O D. 120 cubic feet
Answer:
it should be D/120
Step-by-step explanation:
An example of the box is:
5 the width
3 the length
1 the height.
That would be 5 x 3 x 1.
To double them, you must multiply each number by 2:
5 x 2 = 10
3 x 2 = 6
1 x 2 = 2.
Now the equation is 10 x 6 x 2.
First multiply 10 x 6 (60).
Then 60 x 2 (120).
120 is the answer
A ratio is a comparison of two quantities.
(2 points)
A.True
B.False
Answer:
true
Step-by-step explanation:
What is the answer to this please help
Answer:
A = 140
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 20
h = 14
Work:
A = 1/2bh
A = 1/2(20)(14)
A = 10(14)
A = 140
Can someone help me, please!!
Id say its option 3.
3.8n+1=3.6m+1.62 (show the work)
Answer:
M=1.05n-0.172
Step-by-step explanation:
Please help due soon and explain why it’s that choice. Thanks! Giving brainiest btw.
ill give brainlist for you will receive the 30 if you get them all 3 right if you get one right ill give you thanks if you do 2 ill give thanks and all 5 hearts and if you get all 3 right ill do brainlist and the thanks as well as the 5 hearts
Answer:
The answers from left side on
X=60
X=15
X=21
Step-by-step explanation:
Good luck ^_^
Area please I’ll mark brainliest
Answer:
112
Step-by-step explanation:
A = (B1 + B2)(8)/2
A = 28(8)/2
A = 112
112 ur welcome <3
..............................................................................................................................................
Erick no es mas alto que andres, oscar es mas bajo que carlos y este no es mas alto que erick. se puede deducir que:
a. Andrés es más alto que Erick
b. Carlos es más alto que Andrés
c. Oscar es más alto que Carlos
d. Oscar es el más bajo de todos
e. Ninguna de las anteriores
Answer:
es la b) Oscar es más bajos que todos
Step-by-step explanation:
espero y te ayude
8 km
6 km
What is the length of the hypotenuse?
kilometers
C
Answer:
10
Step-by-step explanation:
We use pythagorean theorem:
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
[tex]\sqrt{36 + 64} = \sqrt{100} = 10[/tex]
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
Determine which ordered pair is a solution to the inequality: 3x+y>6
(1,1) (2,1) (1,2) (0,0)
Answer:
order pair (2,1) is the solution to the inequality.
can you simplify -3(x+7)
Answer:-3x-21
Step-by-step explanation: use the distributive property
Answer:
=−3x−21
Step-by-step explanation:
−3(x+7)
=(−3)(x+7)
=(−3)(x)+(−3)(7)
=3x-21
A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.
(ii) How many members are children?
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 + 3 = 14 parts
Divide number of members by 14 to find the value of one part of the ratio.
560 ÷ 14 = 40 ← value of 1 part of the ratio
(i)
number of women = 6 × 40 = 240
(ii)
number of children = 3 × 40 = 120
please help!! due soon, i’ll give brainliest
Answer:
4
Step-by-step explanation:
an aquarium is in the shape of a cuboid
the depth can be determined from the volume of a cuboid
volume = length x depth x height
11.96 = 2.5 x 1.1 x depth
depth = 11.96 / (2.5 x 1.1 )
depth = 4.3 feet = 4 (to the nearest whole number)
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
I really need help with this it’s on Aleks
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\sqrt[3]{3y+2}[/tex] + 4 = 6 ( subtract 4 from both sides )
[tex]\sqrt[3]{3y+2}[/tex] = 2 ( cube both sides )
3y + 2 = 2³ = 8 ( subtract 2 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
From a survey of 100 commuters about how they get to work, 38 said they drive their cars, 47 said they take the bus, 14 said they take the subway, and 1 said they ride their bicycle. If there were 4,800 commuters total. How many drove a car out of the 4,800? How many took the bus out of the 4,800? How many took the subway of the 4,800? How many rode a bicycle out of the 4,800? PLEASE HELP
1824 drove a car
2256 take a bus
672 ride the subway
48 ride a bicycle
Please help!: Mrs. Carter baked a cake that was in the shape of a rectangular prism. The cake was 24 inches long, 15 inches wide and 3 inches high. She spread frosting on all four sides and the top. How many square inches of frosting did she use?
rectangle base: 24 x 15 = 360
triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches
total: 360 + 90 = 450 inches :)
?!??!!!!!someone help me
Answer:
its b
Step-by-step explanation:
Well the easy way to find this is to just solve the first one. the equation is
x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?
Answer:
Number of special bagel sandwiches = 37
Step-by-step explanation:
Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.
The bagel shop sold 100 items.
[tex]x+y=100\\y=100-x[/tex]
Also, The bagel shop made $385.
[tex]7x+2y=385[/tex]
Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]
[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]
So,
Number of special bagel sandwiches = 37
HELP ME PLEASE I need it
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
David got an $80 gift card to walmart. He uses the gift card to buy a dog toy for $12.99. He also wants to use the gift card to buy some candy bars. Each candy bar cost $0.99 how many candy bars can he buy
Answer:
67.68
68 rounded
Step-by-step explanation:
80-12.99=67.01
67.01 divided by 0.99=67.68 repeating
I have tree pizzas. The radius of one pizza is 4 inches. The radius of the second pizza is 8 inches. The radius of the last pizza is 12 inches. If the first pizza can feed 2 people, how many people can the other pizzas feed?
Please help best gets brainlist and 5/5 and show work please