Answer:
4ˣ + 4⁻ˣ es igual a 7
Step-by-step explanation:
4ˣ + 4⁻ˣ
Dónde;
2ˣ + 2⁻ˣ = 3
Nosotras tenemos
[tex]2^x + \dfrac{1}{2^x} = 3[/tex]
[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]
[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]
Deje que 'a' represente 2ˣ, tenemos;
a² - 3·a + 1 = 0
a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2
∴ a = 2ˣ = (3 ± √5)/2
((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1
x = ln(3 ± √5)/2/(ln(2))
4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7
∴ 4ˣ + 4⁻ˣ = 7.
Which set of numbers is infinite?
A) integers between -4 and 7
B) whole numbers between 1 and 17
C) natural numbers between 5 and 10
D) irrational numbers between 10 and 30
Answer:
D). irrational numbers between 10 and 30
Help me please!!!!!!!!!!!
Answer:
A reflection over the y-axis.
1. What is ✓ 48 in simplified radical form?
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex]
PLEASE HELP ME PUT THEM IN ORDER
Answer
picture below of order. Not entirely
Step-by-step explanation:
It cost Erica $9.75 for the ingredients to make 30 cupcakes. She sold them for $1.00 each. What was Erica’s total profit?
Can i please get some help, I NEED A STEP BY STEP TO FULLY UNDERSTAND THE QUESTION AND YOUR ANSWER
Answer: $20.25
Step-by-step explanation:
If each cupcake is sold for $1, then all the cupcakes are sold together for $30. Now subtract 9.75 from 30 and you get 20.25.
Hope this helps :)
Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y
OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4
In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is
a. 22
b. 23
c. 60
d. 61
Answer:
c. 60
Step-by-step explanation:
Given
[tex]n = 61[/tex] --- sample
[tex]\bar x = 23[/tex]
Required
Determine the degrees of freedom (df)
This is calculated as:
[tex]df = n - 1[/tex]
[tex]df = 61 - 1[/tex]
[tex]df = 60[/tex]
how do i find a unit rate
Answer:
numerator divided by denominator
Step-by-step explanation:
How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.
y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line
Answer:
There is one equation, the slopes are different so they will intersect at one point
Step-by-step explanation:
Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 feet wide.Find the area of the walkway
Answer: 829.44 ft²
Step-by-step explanation:
Correction - The walkway is 31.2 feet wide.
To solve this, first find the area of the fountain:
Area of a square = Length * Width
= 12 * 12
= 144 ft²
The find the area of the walkway including the fountain:
= 31.2 * 31.2
= 973.44 ft²
To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:
= 973.44 - 144
= 829.44 ft²
Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?
Answer:
There is a 40% probability of Jonah grabbing a powdered doughnut from Bag 1.
Step-by-step explanation:
Total number of doughnuts in the bag 1 =20
Total powdered doughnuts in each bag = 8
Probability of selecting powdered doughnut from Bag 1 by Jonah =
[tex]\frac{8}{20} * 100\\40[/tex]%
Question is in picture
Answer:
27.5ft
Step-by-step explanation:
a² + b² = c²
Plug in what you have:
a² + 12² = 30²
Get a by itself:
a² = 30² - 12²
Simplify:
a² = 900 - 144
Simplify:
a² = 756
Simplify:
√a = √756
Then you get 27.49 and when you round you get 27.5
HELPPP WILL MARK BRAINLIEST!!!!!!
Answer:
15 by 2
Step-by-step explanation:
15 cubes in each layer with 2 layers
Answer:
Cubes in each layer: 15
Number of layers: 2
Volume : 30 cm^3
Step-by-step explanation:
there are 4 red and 8 blue marbles in a bag, Mark draws a blue marble out of the bag and does not replace it. Mark draws a second blue marble out of the bag and does not replace it. what is the probability that the next marble he draws will also be blue,
Answer:3/5
Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5
Answer:
Step-by-step explanation:
Answer:3/5
Write an equation in slope intercept form that represents the line shown?
Answer:
I think the answer would be Y=-2X+5
Hope it helps you *^*
x^2-8x+15
expresión racional
Answer:
x = 3, 5
Step-by-step explanation:
(x - 3)(x - 5) = 0
15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP
Answer:
to find the equation of the line you use y=mx+b
Step-by-step explanation:
m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5
At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?
Answer:
The integer that represents the change in temperature is 17.
Step-by-step explanation:
PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers.
10 and -6
.....................................................
Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?
Answer:
9 hours.
Step-by-step explanation:
$357 / 17 = $21. ($21 per hour.)
$189/$21 = 9. BOOM
Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.
Answer:
Aceleracion = 0.8 m/s²
Step-by-step explanation:
Dados los siguientes datos;
Velocidad inicial = 12 m/s
Velocidad final = 20 m/s
Tiempo, t = 10 segundos
Para encontrar la aceleración;
Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.
Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.
Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;
[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]
Sustituyendo en la fórmula, tenemos;
[tex] Aceleracion = \frac{20 - 12}{10}[/tex]
[tex] Aceleracion = \frac{8}{10}[/tex]
Aceleracion = 0.8 m/s²
There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.
Answer:
about 10 hershy kisses
Step-by-step explanation:
Sorry If wrong :(
Help! What does the bracket mean and how do I do the questions?
Answer:
maybe it meane 11/a
Step-by-step explanation:
Answer:
The bracket is the binomial.
The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]
Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]
The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.
The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):
9 brackets to provide x2 brackets to provide the number 3There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:
[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]
So:
a = 2
Coefficient is 495
Welp what is 103883+293883=? please helppp mah mum in city :')
[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]
Help What is 103883+293883=?
[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]
397766[tex]{\boxed{\boxed{\tt { SOLUTION:}}}}[/tex]
[tex] \: \: \: 103883 \\ \frac{+293883}{ \: \: \: \: 397766} [/tex]
----------------------------------------------------------------------------------------------------[tex]\huge{\mathbb{\tt { WHAT \: IS \: ADDITION \: ?}}}[/tex]
Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined#CarryOnLearning
#JustEnjoyTheSummer
XxKim02xXIs 41.77 a integer?
Answer:
nope, an integer must be a whole number, no fractions / decimals
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.
what is the distance between (3,-5), (-3,0)
Answer: 11 units
Step-by-step explanation:
-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)
Answer:
Exact Form:
√ 61
Decimal Form:
7.81024967 …
Elena notices that when she spends less time on social media the night before a quiz, she gets a higher score. Before one quiz, she spent 107 minutes on social media and eamed 37 points on a
quiz. Before another quiz, she spent 73 minutes on social media and eamed 11 points on a quiz
write a function to model a linear relationship between Elena's social media usage, in minutes, and her quiz scores, assuming that the total number of points on each quiz remains a constant
Respond in the space provided
Answer:
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
Step-by-step explanation:
Given:
Score of 37 with 107 minutes on social media.
Score of 41 with 73 minutes on social media.
The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).
Now we need to write the equation of a line that passes through these two points.
The two-point form of the equation of a line is:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].
[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]
[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]
[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]
[tex] 17y - 629 = -2x + 214 [/tex]
[tex] 17y = -2x + 843 [/tex]
[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
What’s the opposite of -5/8
Question in pic plz help! ~
Im gonna label the long side of a rectangle a and the smaller side b.
For the perimeter, 2a + 2b = 34
For the area, a x b = 66
if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.
So a = 11 and b = 6
Answer:
Longer side = 11
Shorter side = 6
Step-by-step explanation:
L x W = 66, then W = 66/L
2L + 2W = 34
substitute for W:
2L + 2(66/L) = 34
2L + 132/L = 34
multiply both sides of the equation by L:
2L² + 132 = 34L
divide both sides by 2:
L² + 66 = 17L
L² - 17L + 66 = 0
factor:
(L - 11)(L - 6) = 0
L = 11 or L = 6
if L = 11, then W = 6
if L = 6 then W = 11
Explain what you think 5 x ⅙ means.
Answer:
5/6?
Step-by-step explanation:
