Answer:
15600
Step-by-step explanation:
26 x 6 x 10 x 10 = 15600
There are 15600 different possible choices of voicemail passwords.
What is a permutation?A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
According to the fundamental counting principle, there are 26 choices of letters and 600 different digits of numbers,
So, the Count of possibilities as
⇒ 26 x 600
⇒ 15600
Hence, there are 15600 different possible choices of voicemail passwords.
consider the function: f(x)= 2x(x+3) what would be the best description of f(x)? A:linear function B:quadratic function C:exponential function D:None of the above
Answer:
B) Quadratic Function
Step-by-step explanation:
[tex]f(x)=2x(x+3)=2x^2+6x[/tex], which is a second-degree polynomial, so it is a quadratic function.
Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a spade given that the second card is a club
Answer:
Recheck your question
Step-by-step explanation:
I think your question should be what is the probability that the second card is a spade given that the first one was a club
Please help me with my assignment
please help me with this assignment ; )
Answer:
The answer is A
Step-by-step explanation:
Because it's square all of the sides will be equal so 18*18=324. Hope this helps.
¿se puede hacer un triangulo con las siguientes medidas:2cm ,3cm ,10cm? ayudenme es para mañana
Não, não podemos fazer um triângulo com os comprimentos dos lados de 2 cm, 3 cm e 10 cm. Isso ocorre porque a soma de 2+3 < 10. (in english: No, we cannot make a triangle with the side lengths of measurement 2 cm, 3 cm, and 10 cm. This is because sum of 2+3 < 10).
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Now, for this case, the sides given are:
a =2 cm,b = 3 cm,and c = 10 cmBut we see that:
a+ b = 5 cm which is < c which is of 10 cm.
Thus, these lengths don't satisfy the triangle inequality theorem, and therefore, cannot be sides of any triangle.
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Which equation best fits the graph below?
Which points are on a graph where y varies directly with x and y = 3 when x = -3
a. (1, 1); (0, 1); (3, 3)
b. (0, 0); (4, 8); (5, 10)
c. (1, 0); (3, 2); (5, 4)
d. (-1, 1); (0, 0); (-5, 5)
A coordinate system is a method of determining the position of points or other geometric components on a manifold. The points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).
What are coordinates?A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using one or more integers, or coordinates.
Given that y varies directly with x, therefore, we can write,
y∝x
y = kx
Also, y=3 and x=-3, therefore, the value of k can be written as,
3=k(-3)
k=-1
Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).
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what is the square root f 12
Answer:
Step-by-step explanation:
3.46410161514
Answer: The answer is 3.46410161514
what is the oppsite number from -64
Answer:
+64
Step-by-step explanation:
the opposite of a positive number is it's negative version while the opposite of a negative number is it's positive version.
so from the question above, the opposite of -64 is+64
please rate and mark brainliest!!!!- - - - - -- - - - - - - - -- - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - - - -- - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the opposite number from -64?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
If a number's negative, its opposite is a positive; if a number's positive, its opposite is a negative.
Since -64 is negative, its opposite is
[tex]\bigstar\sf{64}[/tex]
Good luck.- - - - - - - -- - - - - - - - - - - -- - - - - - - - -- - - - - - - - - - -- - - - - - - - - -- - - - - --
Suppose two lines are parallel.
Which of the following statements must be true? Select all that apply.
============================================================
Explanation:
Let's go through each answer choice one by one to see if it's true or false.
A) This is true. Parallel lines have equal slopes, but different y intercepts.B) This is true because of the corresponding angles theorem.C) This is false. The statement applies to perpendicular lines, rather than parallel ones.D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.A store manager wants to estimate the proportion of customers who spend money in this store. How many customers are required for a random sample to obtain a margin of error of at most 0.075 with 80% confidence
The 73 customers who spend money in this store if margin of error of at most 0.075 with 80% confidence.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have p = 0.50 MOE = 0.075
Z = 1.282 at 80% confidence from the Z table.
[tex]\rm 0.075 = (1.282)\sqrt{\dfrac{0.50(1-0.50)}{n}}[/tex]
After solving, we get:
n = (0.5)(0.5)/(0.0585)²
n = 73
Thus, the 73 customers who spend money in this store if margin of error of at most 0.075 with 80% confidence.
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PLEASE I NEED FAST
X
Y
Z
find the value of missing variables
Answer:
.................... .
Find the inverse of y = 3x - 1.
There are 12 animals in the field Some are goats and some are ducks. There are 36 legs in all.
How many of each animal are in the field?
Answer:
6 goats and 6 ducks
Step-by-step explanation:
Find the marked price when a radio is sold at Rs 3000 after 40% discount .
Rs. 5000
Step-by-step explanation:
To Find MP = ?
GivenSP = rs 3000
Discount = 40%
Solution=> MP-MP×40/100=3000
Taking LCM=> 100MP-40MP/100= 3000
=> 60MP/100 = 3000
MP = 3000 × 100 / 60
MP = 500 × 10
MP = Rs. 5000
Math question 10 points help….
Answer:
A) [tex]\frac{x}{11} < -21[/tex]
Step-by-step explanation:
Let "a number" be denoted by the variable, x. Set the equation:
"A number divided by 11": x/11
"is less than": <
"-21": -21
Put all the parts together:
"A number divided by 11 is less than -21": x/11 < -21
A) [tex]\frac{x}{11} < -21[/tex] is your answer.
~
6/6 = 8/8 because they both equal 1. Oleg adds one part to each. Will the results be equal?
Use the drop-down menus to complete an explanation.
Rewrite the fractions as decimals:
7/6 = 1.167
9/8 = 1.125
7/6 is greater then 9/8
the parts in 7/6 are greater than the parts in 9/8
so 7/6 is farther from 1 than 9/8 is
If the measure of angle B=35 degrees, a=43, and c=19 then find the measure of angle A
Answer: 123.3364311 degrees approximately
Round that value however your teacher instructs.
==========================================================
Explanation:
Use the law of cosines to find side b
[tex]b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\[/tex]
Now use the law of sines to find angle A.
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\[/tex]
Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.
The question is: Which one?
Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.
For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.
This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x) = x3 – 4x2 – 16x + 64
Answer:
all x intercepts [-4, 0] [4, 0]
Step-by-step explanation:
x-intercept, i.e. y=0
f(x) = x^3 - 4x^2 - 16x + 64 = 0
(x^3 + 4^3) - 4x^2 - 16x = 0 [FYI, x^3 + y^3 = (x + y)(x^2 - xy + y^2)]
(x + 4)(x^2 - 4x + 16) - 4x^2 - 16x = 0
(x + 4)(x^2 - 4x + 16) - 4x(x + 4) = 0
(x + 4)(x^2 - 4x + 16 - 4x) = 0
(x + 4)(x^2 - 8x + 16) = 0
(x + 4)(x - 4)^2 = 0
x = -4 or 4
all x intercepts [-4, 0] [4, 0]
Step-by-step explanation:
one thing immediately catches the eye : the factors of the terms in the function follow the powers of 4 :
4⁰, 4¹, 4², 4³
and they are going against the powers of x :
x³ has the factor 4⁰
x² has the factor 4¹
x has the factor 4²
x⁰ has the factor 4³
with that we see that one 0 solution (an x- intercept) is x = 4.
f(4) = 4³ - 4×4² - 4²×4 + 4³ = 4³ - 4³ - 4³ + 4³ = 0
so, the functional expression is
(x-4)(x² + ...)
the other 2 zero solutions are covered by the quadratic term.
to get the quadratic term we divide f(x) by (x-4).
x³ - 4x² - 16x + 64 ÷ x - 4 = x² - 16
- x³ - 4x²
-----------------------------
0 0 - 16x + 64
- - 16x + 64
----------------------‐--------
0 0
so,
f(x) = (x - 4)(x² - 16)
and as we know
(a² - b²) = (a + b)(a - b)
we get
f(x) = (x - 4)(x + 4)(x - 4) = (x - 4)²(x + 4)
so, x = 4 counts as 2 zero solutions, it is a point, where the curve makes a turn and only touches the x-axis, but does not fully intercept it (in the sense to continue on the other side of the x-axis).
and x = -4 is the third zero solution.
so, the x-intercepts are at x = -4, +4
20 POINTS PLS HELP ME Find the surface area of each pyramid. Round to the nearest tenth if necessary.
Answer:
633.94 squared inches
Step-by-step explanation:
15.75 x 15.75 = 248.0625
12.25 x 15.75 x 1/2 = 96.46875
since there are 4 triangles and they are equivalent...
96.46875 x 4 = 385.875
Surface area is...
385.875 + 248.0625 = 633.9375
changing my answer hh
HELPPPPPPP PLEASEEEE
Answer: 4 = 80, 1 = 100, 5 = 80, 3 = 80
Step-by-step explanation:
Answer:
80°
Step-by-step explanation:
Vertically Opposing Angles are equal when they are cut by a transversal.
Here ∠4 and 80° are vertically opposite anglesHence, ∠4 = 80°The scale of this map is 1 inch = 50 miles. How many miles is it between Milwaukee and Mackinac Bridge? Assume the distance between the two (Milwaukee and Mackinac Bridge) on the map is 4 inches.
Answer:
200 miles
Explanation:
Here map to actual to scale: 1 inch = 50 miles
On map distance: 4 inchesTo find actual distance, simply multiply map distance by scale factor
Actual Distance : 4 × 50 = 200 miles
7)
72, 43, 15, 66, 32, 72, 52, 19, 28, 81
Mean :
Median
Mode
Range
Giving Brainiest ~~ :)
Answer:
28 meters cubed
Step-by-step explanation:
V = 1/3 BH
V = 1/3 (4)(21)
V = 28
Hope this helped :))
have a great day :D <3
NEED HELP PLS I WILL GIVE BRAINLIEST
A^2 -b^2 / a +b
Apply the difference of two squares formula to the top :
A^2 - b^2 = (a+b)(a-b)
now you have :
(A+b)(a-b) / a+b = 12
the two (a+ b)’s cancel each other out so you are left with a-b = 12
answer: a-b = 12
PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class
Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
please help for problems
4.
5.
6.
7.
8.
9.
A line passes the points (0, 11) and (12,-13). Can you write the equation of a line passing through
the point (4, 3) so that the system of equations represented by the two lines has no solution? If so,
give the equation. Otherwise, coxplain why not,
19. The average yearly income for 28 married couples living
in city C is $58,219. The standard deviation of the sample is
$56. Find the 95% confidence interval of the true mean.
20. The number of unhealthy days based on the AQI
Answer:
[tex]\{58198.2573,58239.7427\}[/tex]
Step-by-step explanation:
We assume that the following conditions are true before constructing the confidence interval:
Assumption #1: Random Sampling.
Assumption #2: Independence.
Assumption #3: Large Sample.
Assumption #4: The 10% Condition (sample size is no bigger than 10% of population
Assumption #5: The Success / Failure Condition.
Assumption #6: Homogeneity of Variances.
A 95% confidence level correlates to a critical value of [tex]z^*=1.96[/tex], hence:
[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=58219\pm 1.96\biggr(\frac{56}{\sqrt{28}}\biggr)\\\\CI=58219\pm20.7427\\\\CI=\{58198.2573,58239.7427\}[/tex]
Therefore, we are 95% confident that the true mean of the average yearly income for a married couple living in city C is between $58,198.2573 and $58,239.7427
. Find (x² + 7x + 14) ÷ (x + 4) by using long division
[tex]\dfrac{x^2 +7x +14 }{x+4} = x+3+ \dfrac{2}{x+4}[/tex]
