The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.
How to explain the information?A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.
Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.
We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.
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Calcular el valor del ángulo que falta de un triangulo rectangulo si uno de sus lados mide 25 grados.
Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.
Definición de triánguloUn triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.
Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.
Definición de triángulo rectánguloEl triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo interior recto (es decir, mide 90°) y dos ángulos interiores agudos.
Valor del ángulo faltante en este casoEn este caso, sabes que:
Al ser un triángulo rectángulo, un ángulo interior mide 90°.Otro ángulo interior mide 25°.La suma de los ángulos interiores es igual a 180°.Entonces, el valor del ángulo faltante se puede calcular mediante:
90° + 25° + ángulo faltante= 180°
Resolviendo:
115° + ángulo faltante= 180°
ángulo faltante= 180° - 115°
ángulo faltante= 65°
Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.
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PLEASE HELP AS SOON AS POSSIBLE
A quadrilateral PQRS is a parallelogram. PQ and RS are opposite sides then the answer of this particular question is , x = 4, the parallelogram PQRS is a rhombus, QR = 31, The opposite angles are congruent. Thus, more than one answer is correct.
According to the question,
PQ = 7x+12; RS = 5x -20 and QR = 31
Solving PQ and RS we get x = 4. Thus, PQ = 40 and RS = 40.
A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and congruent. A quadrilateral that has all sides equal and opposite sides parallel is called Rhombus.
Thus, the parallelogram PQRS is a rhombus.
Hence, a quadrilateral PQRS is a parallelogram. PQ and RS are opposite sides then the answer of this particular question is , x = 4, the parallelogram PQRS is a rhombus, QR = 31, The opposite angles are congruent. Thus, more than one answer is correct.
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what is the range of the function f(x) = lxl + 5 ?
Answer:
All real numbers greater than or equal to 5
Step-by-step explanation:
The range of y=|x| is all real numbers greater than or equal to 0. Adding 5 to this makes the range all real numbers greater than or equal to 5.
Rebecca drew a graph with these key features:
The function is decreasing.
The left end is approaching a constant.
Which function could be represented by Rebecca’s graph?
Answer that was correct for me was: f(x) =-2(5/4)^x+3
The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3
How to determine the function that could be represented by Rebecca’s graph?The properties are given as:
The function is decreasing.The left end is approaching a constant.For an exponential function to keep decreasing, one or more the following must be true:
The rate is less than 1The leading factor is negative and the rate is greater than 1For the left end of an exponential function to approach a constant, the following must be true:
The leading factor is negative and the rate is greater than 1The equation that has the above properties is f(x) =-2(5/4)^x+3
Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3
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Find the area of the rhombus 12 5
Need help please...
Step-by-step explanation:
Here! ●□●□●□●□● THIS IS THE ANSWER BRO
Evaluate the limits
[tex]x > \ln(x)[/tex] for all [tex]x[/tex], so
[tex]\displaystyle \lim_{x\to\infty} (\ln(x) - x) = - \lim_{x\to\infty} x = \boxed{-\infty}[/tex]
Similarly, [tex]\displaystyle \lim_{x\to\infty} (x-e^x) = - \lim_{x\to\infty} e^x = \boxed{-\infty}[/tex]
We can of course see the limits are identical by replacing [tex]x\mapsto e^x[/tex], so that
[tex]\displaystyle \lim_{x\to\infty} (\ln(x) - x) = \lim_{x\to\infty} (\ln(e^x) - e^x) = \lim_{x\to\infty} (x - e^x)[/tex]
You can also rewrite the limands to accommodate the application of l'Hôpital's rule. For instance,
[tex]\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\exp\left(\lim_{x\to\infty} (x - e^x)\right)\right) = \ln\left(\lim_{x\to\infty} e^{x-e^x}\right) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right)[/tex]
Using the rule, the limit here is
[tex]\displaystyle \lim_{x\to\infty} \frac{(e^x)'}{\left(e^{e^x}\right)'} = \lim_{x\to\infty} \frac{e^x}{e^x e^{e^x}} = \lim_{x\to\infty} \frac1{e^{e^x}} = 0[/tex]
so the overall limit is
[tex]\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right) = \ln(0) = \lim_{x\to0^+} \ln(x) = -\infty[/tex]
219. There is a local maximum at x = 2, local minimum at x = 1, and the graph is neither concave up nor concave down.
A rectangular park had a dirt path across its diagonal that was yards long. The diagonal and the long side of the park formed an angle that measured . A person walked along the sidewalks outside the park, from the start to the end of the path, as shown by the arrows. The diagonal dirt path that cuts across the rectangular park and the sidewalks outside the park form a right triangle. The dirt path is the hypotenuse and it is labeled 100 yards. The start of the sidewalk is adjacent to the 30-degree angle, and it is labeled X. The end of the path is opposite the 30-degree angle, and it is labeled Y. Which expression shows the distance that he walked?
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles.
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles. The required function may be a sine function, a cosine function, or a tangent function.
Such that;
Sin θ = [tex]\frac{Opposite}{Hypotenuse}[/tex]Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]The given question can be solved by applying the appropriate trigonometric function.
So that to determine the value of x, we have:
Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Cos 30 = [tex]\frac{x}{100}[/tex]
⇒ x = 100 cos 30
= 100 x 0.866
x = 86.60
Thus, the start of the sidewalk is approximately 87 yards.
To determine the value of sidewalk y, we have:
Sin θ = [tex]\frac{Opposite}{Hypotenuse}[/tex]
Sin 30 = [tex]\frac{y}{100}[/tex]
⇒ y = 100 x Sin 30
= 100 x 0.5
y = 50
Thus the sidewalk which represents the end of the path is 50 yards.
Therefore, the total distance that he walked = 100 + 87 + 50
= 237 yards
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
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Choose the number (X) that should come next in this series (1, 2, 6, 15, X, 56, 92)
Answer:
31
Step-by-step explanation:
The numbers in the sequence increase by (n+1)^2. So the sequence is (1, 1+1^2 (which is 2), 2+2^2 , 6+3^2, 15+4^2, 31+5^2, 56+6^2) and the fifth term of that sequence is 15+4^2, which is 31
The unknown number(x) in the series is 31.
The given series 1, 2, 6, 15, x, 56, 92.
We need to find the value of x.
What is a series?In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, and mathematical analysis.
The numbers in the series increase by (n+1)².
So the sequence is 1, 1+1² (which is 2), 2+2², 6+3², 15+4², 31+5², 56+6² and the fifth term of that sequence is x=15+4²=31.
Therefore, the unknown number(x) in the series is 31.
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cual es el valor de x+5=7
Answer: x = 2
Work Shown:
x+5 = 7
x+5-5 = 7-5
x = 2
Subtract 5 from both sides to isolate x. This is to undo the plus 5.
Please help me with this question <3 ASAP!
Answer:
54°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so;
[tex]9x+9=8x+14 \\ \\ x=5 \\ \\ m\angle S=9(5)+9=54^{\circ}[/tex]
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Angle S = 54°[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
In a Parallelogram, opposite angles are equal, so we infer that :
[tex] \qquad❖ \: \sf \:9x + 9 = 8x + 14 [/tex]
[tex] \qquad❖ \: \sf \:9x - 8x = 14 - 9[/tex]
[tex] \qquad❖ \: \sf \:x = 5 \degree[/tex]
Next,
Measure of Angle S is :
[tex] \qquad❖ \: \sf \:9x + 9[/tex]
[tex] \qquad❖ \: \sf \:9(5) + 9[/tex]
[tex] \qquad❖ \: \sf \:45 + 9[/tex]
[tex] \qquad❖ \: \sf \:54 \degree[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Angle S = 54°Graph the polar equation r=1-3 sin 0
No graph for the polar equation because here sin 0 is 0.
According to the statement
we have given that a polar equation and we have to represent in the graph.
So, For this purpose, we know that the
The expression of a point as an ordered pair. is known as polar notation, the equation of a curve expressed in polar coordinates is known as a polar equation.
The given polar equation is
r = 1-3 sin 0
here the value of r is 0.
so, No graph is possible for the given statement
because here the value of r is 0 and for zero value there is a no graph possible.
So, No graph for the polar equation because here sin 0 is 0.
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what is the answer for this question? i really need it
Answer:
a = 3
b = -9
c = -3
d = 22
e = 49 - 9
f = a^2 -3
Step-by-step explanation:
Please no more questions :(
round 00.963.785 to the nearest. hundredth
What's the Value of X in 1/2 + X = 5/6
Answer:
x = 1/3
Step-by-step explanation:
1/2 + X = 5/6
collecting the like terms
X = 5/6 - 1/2
making one fraction on the left side by taking the common denominator
X = (5 - 3)/6
X = 2/6
devide the numerator and denominator by 2, you get
X = 1/3
4. Find the value of x & y from the following equation 4x+5y=90, x+y=20 a. 10, 15 b. 10, 5 c. 10, 8 d. 10, 10
Answer:
d. 10, 10
Step-by-step explanation:
4(10)+5(10) = 40 + 50 = 90
10 + 10 = 20
Hope this helps
An equation is formed of two equal expressions. In the two of the given equations, the value of x and y are 10 and 10, respectively. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two of the equation, which can be named as,
4x+5y=90 ...... equation 1
x+y=20 ............ equation 2
Solve the second equation for x,
x + y = 20
x = 20 - y ................ equation 3
In the first equation substitute the value of x from the third equation,
4x + 5y = 90
4(20 - y) + 5y = 90
Solving the equation for y,
80 - 4y + 5y = 90
y = 90 - 80
y = 10
Substitute the value of y in the second equation, to get the value of x,
x + y = 20
x + 10 = 20
x = 20 - 10
x = 10
Hence, In the two of the given equations, the value of x and y are 10 and 10, respectively.
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For the function p defined by p(m) = 2m^-4m+3, find p(1/3).
Please help i cant seem to figure this out
Answer:
A
Step-by-step explanation:
First we need to solve the inequality: -3b-15>-24
-3b-15>-24
-3b>-9
b<3 (we divided by a negative so we flip the sign)
This means that we have an empty circle and the arrow pointing left
[tex]\boldsymbol{\sf{-3b-15 > -24 }}[/tex]
Add 15 to both sides.
[tex]\boldsymbol{\sf{-3b > -24+15 \ \longmapsto \ \ \ [Add \ -24+15] }}[/tex]
[tex]\boldsymbol{\sf{ -3b > -9}}[/tex]
Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.
[tex]\boldsymbol{\sf{b < \dfrac{-9}{-3} \ \ \longmapsto \ \ [Split] }}[/tex]
[tex]\red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ b < 3}}}}[/tex]
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Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!
Step-by-step explanation:
if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c
A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero
because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain
x²-4 =! 0
(x-2)(x+2)=!0
x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis
the answer is all real number except -2 and -
2
B)p(m(x))=p(x²-4) =1/squaroot of x²-4
note they are two things involve we must not get division by zero and root of negative number
we have all real number expect from -2 to 2
C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)
we have 1/x-4
so the answer is all real number expect zero
pleaseee helpp
which of the following enequalities would produce the region indicated on the graph below
Answer: C
Step-by-step explanation:
The line [tex]y=x+2[/tex] is shaded below and is solid.
This eliminates all the options except for C.
Solve the inequality and enter your solution as an inequality in the box below.
Do not use spaces in your answer.
2+ x>-8
Answer:
x > -10
Step-by-step explanation:
2 + x > -8
x > -8 - 2
x > -10
Answer:
x>-10
Step-by-step explanation:
2+x-2>-8-2
x>-10
6n−8(n+4)= what? Please help me
Answer:
-2n -32
Step-by-step explanation:
Acc. to BODMAS
we multiply first
⇒-6n - -8 x [(+4) (n)]
⇒ 6n - 8n x -32
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{6n - 8(n + 4)}[/tex]
[tex]\huge\textbf{Solve: }[/tex]
[tex]\mathsf{6n - 8(n + 4)}[/tex]
[tex]\huge\textbf{Distribute \boxed{\bf -8} within the parenthesis:}[/tex]
[tex]\mathsf{= 6n - 8(n) - 8(4)}[/tex]
[tex]\mathsf{= 6n - 8n - 32}[/tex]
[tex]\huge\textbf{Combine the like terms: }[/tex]
[tex]\mathsf{= (6n - 8n) - (32)}[/tex]
[tex]\mathsf{= 6n - 8n - 32}[/tex]
[tex]\mathsf{= -2n - 32}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{{ -2n - 32}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}}[/tex]
find the length of a segment in the coordinate plane with endpoints (5, -2) and (2, 2)
Answer: 5
Step-by-step explanation:
[tex]\sqrt{(5-2)^2 +(-2-2)^2}=5[/tex]
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 15. Find the probability that a randomly selected adult has an IQ less than 123.
The probability that a randomly selected adult has an IQ less than 123 is ____.
Answer:
.8849 or 88.49% have score ess than 123
Step-by-step explanation:
Answer:
88.49 % have less than 123 (or .8849)
Step-by-step explanation:
123 is 18/15 = 1.2 S.D. ABOVE the mean z-score +1.2
from z- score table +1.2 this is .8849 or 88.49 %
Sodas cost $1.75 each. Write a direct
proportional equation using (s) for sodas and
(t) for total cost.
Answer:
t = 1.75(s)
Step-by-step explanation:
I gotchu
Information about a play took up 1/3 of the pages in the program. Information about the actors took up 1/4 of the remaining pages. Information about the director, the producer, and the designer took up 2 pages, the same number of pages devoted to the actors. How many pages were there in the program? help pls
Answer: 4
Step-by-step explanation:
x - (1/3)x - (1/6)x = 2
(6x - 2x - x)/6 = 2
3x/6 = 2
x=4
Which expression has a conflict of 10 and a constant of5
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
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Pls answer before 8:00 pm
Answer:225 jeans.
Step-by-step explanation: What we need to do here is convert the number of jeans to a percentage. There were 25 jeans when 50 customers were surveyed and 25 is half of 50 or 50%. This means that if 450 pairs of pants are ordered half of them should be jeans. 450/2 = 225.
HELP ME WITH THIS QUESTION AS SOON AS POSSIBLE
Answer:
the answer is 2880
Step-by-step explanation:
because you would use the formula (n - 2) x 180 which equals the sum interior angles of any polygon .
The letter n stands for number of sides so in this case you would do (18 - 2) x 180 so 16 × 180 = 2880
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