Answer:
The famous irrational numbers consist of Pi, Euler's number, Golden ratio. Many square roots and cube roots numbers are also irrational, but not all of them. For example, √3 is an irrational number but √4 is a rational number. Because 4 is a perfect square, such as 4 = 2 x 2 and √4 = 2, which is a rational number.
Step-by-step explanation:
examples of irrational numbers is 0.2, 0.5 and 0.9
a skateboard is on sale for $47.80. if this price represents a 50% discount from the original price, to the nearest cent?
Answer:
95.60$
Step-by-step explanation:
50% discount is basically the price divided by 2. So if we inverse it it will become x2. 47.80x2=95.6
whats the surface area of 12 length 4 high and 5 width it is also a Triangle prism
Answer:
The answer is most likely 174.68
Step-by-step explanation:
Using the formula A = (2A_B) + (a + b + c)(h)
we can find the surface area
12 is a and c
5 is b
4 is h
This question was vague so the answer might be incorrect.
help now pls thank u
Answer:
120 inches of strands
Step-by-step explanation:
finding the diagonal
=[tex]\sqrt{(100+576)}[/tex]
= 26 inches
perimeter of the window = 2(10+24)
= 68 inches
total strands needed to be purchased = [(2×26)+68] inches
= 120 inches of strands
a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?
please help this is urgent
Answer:
Im pretty sure its 18.
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:
[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Using a random sample of 4100 households, a media research company finds that 55.1% watched a particular episode of a popular situation comedy. a. Find the margin of error in this percent. b. Write a statement about the percentage of TV households in the population who watched the episode of the situation comedy.
Answer:
a. 1.52%
b. There is 95% probability that the true population percentage lies between 53.8$ and 56.62%
Step-by-step explanation:
The number of participants in the sample, n = 4,100
The percentage that watched the particular popular situation episode, p = 55.1%
a. The margin of error is given by the following formula;
[tex]Margin \ of \ Error = Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }[/tex]
Where;
Z = The z-score at 95% = 1.96
p = The proportion of the sample that responded positively = 55.1% = 0.551
n = 4,100
From the above data, we get;
[tex]Margin \ of \ Error = 1.96 \times \sqrt{\dfrac{0.551 \times (1 - 0.551)}{4,100} } \approx 0.0152252[/tex]
The margin of Error ≈ 1.52%
b. The confidence interval is give as follows;
[tex]p \pm Z_{\alpha /2} \times \sqrt{\dfrac{p \times (1 - p)}{n} }[/tex]
Therefore, we get the 95% confidence interval as follows'
55.1 - 1.52 ≤ μ ≤ 55.1 + 1.52
53.8% ≤ μ ≤ 56.62%
The answer as formatted in an online source is presented as follows;
There is 95% probability that the true population percentage lies between 53.8$ and 56.62%.
The diameter of a circle is 13 m. Find its area to the nearest tenth.
Answer:
A ≈ 132.73
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Solve n÷6>2. Graph the solution.
Step-by-step explanation:
n/6 > 2
x6. x6
n > 12
hope this helps
Which of the following inequalitties is correct
-a > -b
-a > a
a > c
(Look at picture)
Answer:
You were right the correct option is
- a > - b
1. Write an algebraic equation for the cost of 25 liters of gasoline, if x pesos
per liter is P3,902.00
2. Rhian is
Answer:
× + 3902.00 = 25litres
Step-by-step explanation:
x per litres
25÷ xlitres = 3902pesos
HELP me please with 9,10,11,12
Answer:
9.) The Outlier is 18
-The outlier is the number that stands out and is different
need the answers to these questions please
Answer:
a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]
[tex]p = 88\,cm[/tex]
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]
[tex]p = 24\,cm[/tex]
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]
[tex]p \approx 25.424\,m[/tex]
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]
[tex]p \approx 39.368\,cm[/tex]
what are the solution to x^2+6x=27
Step-by-step explanation:
So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.
Now, we can use the quadratic formula to solve.
I attached it below.
Your a value will be 1, the b value is +6, and the c value is -27.
Plug into the formula and then solve. :)
Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction
Answer:
n
Step-by-step expmlanation:
Answer:
10-15 miles I believe
find the solution of given expression !!
[tex] \sqrt{625 \times 16} [/tex]
Answer:
Solution given;
[tex] \sqrt{625 \times 16} [/tex]
[tex] \sqrt{25²\times 4²} [/tex]
±(25*4)
±100 is a required answer.
Answer:
[tex]\sqrt{625\cdot \:16}[/tex]
[tex]=\sqrt{10000}[/tex]
[tex]=\sqrt{100^2}[/tex]
[tex]=100[/tex]
2x – y = 7
y = 2x + 3
Answer:
2x – y = 7 answer for this one is x-1/2y+7/2 (the '/' is a fraction)
y = 2x + 3 is x=1/2y+-3/2
Step-by-step explanation:
Solve for the value of x! Please help don’t use this just for points
Answer:
x=3
Step-by-step explanation:
If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.
convert 10 hours into minutes
Answer:
600 minutes
Step-by-step explanation:
60 minutes in an hour
60 × 10 is 600
if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Answer:
Step-by-step explanation:
hello :
if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1
but : x1 × x2 = c /a
in this exercice : a =8 and b = -13 and c = - 4k
so : c/a =-4k/8
so : -4k/8 = 1
-4k = 8 k = 8/-4 k = -2
this polynomial is : 8x²-13x +8
Help plz will give brainliest
Answer: 5(13.5-4.5)
5(9)
=45
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512meters wide, and 612 meters tall.
What is the volume of the recycling bin?
Answer:
3,760,128
Step-by-step explanation:
v = whl. process for volume of the bin
If f (2) = 2x2 + 3x – 9 and g(x) = 3x2 + 8 find (f + g)(x)
Answer:
3x² + 13
Step-by-step explanation:
f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5
g(x) = 3x² + 8
added together: 3x² + 8 + 5 = 3x² + 13
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.
Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
[tex]Height = 7in[/tex]
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
[tex]a = 1in[/tex] -- side length of the octagon
The area is then calculated as:
[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]
So, we have:
[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]
[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]
[tex]Area = 2 * (1 + \sqrt 2)[/tex]
Evaluate the square root
[tex]Area = 2 * (1 + 1.414)[/tex]
[tex]Area = 2 * (2.414)[/tex]
[tex]Area = 4.828[/tex]
The volume is then calculated as:
[tex]Volume = Height * Base\ Area[/tex]
[tex]Volume = 7 * 4.828[/tex]
[tex]Volume = 33.796[/tex]
Answer:
287 is the right answer
Step-by-step explanation:
Hopes this helps.
4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?
Please I need help ASAP! Thanks a lot
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms
r = [tex]\frac{384}{512}[/tex] = [tex]\frac{288}{384}[/tex] = [tex]\frac{216}{288}[/tex] = [tex]\frac{3}{4}[/tex] , then recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex] : a₁ = 512
Anybody help me please!!!!!!!!
Answer:
A reflection over the x axis
Step-by-step explanation:
With the x axis you flip it down or up
With the y you flip it to the left or to the right
The image of (2, - 1) after a translation of (x, y) + (x -1, y+3) is
An electronics store buys 200 stylus at a cost of $400 and sells them for $6 each. Find the percent markup rounded to the nearest percent?
Answer:
Percent markup is 200%
Step-by-step explanation:
The cost of each stylus is
[tex]\frac{400}{200} = 2[/tex] dollars
The selling price of each stylus is $6
Percent markup =
(Selling price - cost price)/cost price *100
[tex]\frac{6-2}{2} *100\\2*100\\200[/tex]%
Percent markup is 200%
Please help! - Geometry - 15 points - One question -
Answer: m<DCB= 50 degrees
Step-by-step explanation:
120= (15x+5)+(22x+4)
120= 37x+9
111= 37x
x=3
15(3)+5
45+5=
50
X+5y=5 3x-5y=3 Necesito ayuda, procedimiento para resolverlos y maneras distintas de resolverlos. Denuncio a quien venga por los puntos.
Answer:
Se puede resolver el sistema de ecuaciones por sustitución, igualación o determinante. La solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].
Step-by-step explanation:
Sea el sistema de ecuaciones que se describe abajo:
[tex]x+5\cdot y = 5[/tex] (1)
[tex]3\cdot x -5\cdot y = 3[/tex] (2)
Existen por lo menos tres métodos analíticos para la resolución de este sistema de ecuaciones:
(i) Sustitución
Despejamos [tex]x[/tex] en (1):
[tex]x = 5-5\cdot y[/tex]
Aplicamos la expresión resultante en (2):
[tex]3\cdot \left(5-5\cdot y\right)-5\cdot y = 3[/tex]
Luego, resolvemos la ecuación resultante:
[tex]15 - 15\cdot y -5\cdot y = 3[/tex]
[tex]-20\cdot y = -12[/tex]
[tex]y = \frac{3}{5}[/tex]
Luego, determinamos el valor de [tex]x[/tex]:
[tex]x = 2[/tex]
(ii) Igualación
Despejamos [tex]5\cdot y[/tex] en cada expresión:
[tex]5\cdot y = 5 - x[/tex] (3)
[tex]5\cdot y = 3\cdot x - 3[/tex] (4)
Ahora, igualamos (3) y (4) y simplificamos:
[tex]5-x = 3\cdot x -3[/tex]
[tex]4\cdot x = 8[/tex]
[tex]x = 2[/tex]
Finalmente, calculamos [tex]y[/tex] en (3):
[tex]y = 1 - \frac{x}{5}[/tex]
[tex]y = \frac{3}{5}[/tex]
(iii) Determinante
Aplicamos las siguientes fórmulas para determinar cada variable:
[tex]x = \frac{\left|\begin{array}{ccc}5&5\\3&-5\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]
[tex]x = \frac{-25-15}{-5-15}[/tex]
[tex]x = 2[/tex]
[tex]y = \frac{\left|\begin{array}{ccc}1&5\\3&3\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]
[tex]y = \frac{3-15}{-5-15}[/tex]
[tex]y = \frac{3}{5}[/tex]
Por ende, concluimos que la solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].
La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)
Ecuación
Una ecuación es una expresión utilizada para mostrar la relación entre dos o más números o variables.
Dadas las ecuaciones:
x + 5y = 5 (1)
Y:
3x-5y = 3 (2)
Resolviendo ambas ecuaciones 1 y 2 simultáneamente da:
x = 2, y = 0,6
La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)
Obtenga más información sobre la ecuación en: https://brainly.com/question/13763238
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?
Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar