Answer:
( About ) 1.01371e + 16 ways
Step-by-step explanation:
You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).
Thus, take a look at the procedure below;
[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]
This is an approximate answer mind you, so I hope that still helps!
1. 2x + 5 = 3x + 1
2. 3x + 2 = 4x - 3
3. 4x - 3 = 3x + 3
Pls help equations. Find x, show workings. You are the best but answer only if u know it. If I report ur answer know that that's not the right answer. Love you all.Don't just work rubbish for points.
Answer:
1)4
2)5
3)6
Step-by-step explanation:
1)2x+5=3x+1
2x-3x=1-5
-1x=-4
x=4
2)3x+2=4x-3
3x-4x=-3-2
-1x=-5
x=5
3)4x-3=3x+3
4x-3x=3+3
1x=6
x=6
Hope it helps
Write 0.245bar in the form p/q
Answer:
245/999
Step-by-step explanation:
0.245bar = n
1000 n - n = 245
999n = 245
n = 245/999
1
The table shows the cost y (in dollars) of x cold drinks.
Drinks, x 0 2 4
6
0
Cost y
6
3
9
Graph the data
Answer: Attached graph in the explanation.
Step-by-step explanation:
Hi, to answer this question we have to graph points in a Cartesian coordinate graph.
The horizontal axis is called the x-axis, and the vertical axis is the y-axis.
To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.
For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.
Finally when we have plotted all the points, we simply link all the points to form a line.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
The complete question is:
A certain element has a half life of 4.5 billion years.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
Answer:
Age of rock = 7.82 billion years
Step-by-step explanation:
For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.
We are given that;
fraction remaining = 30% = 0.3
Thus;
0.3 = 0.5n
To find n, we have to use the log function;
log 0.3 = n log 0.5
-0.5229 = -0.301 n
n = -0.5229/-0.301
n = 1.737
We are given that;
Half life = 4.5 billion years
So, 1.737 half lives would give;
1.737 × 4.5 = 7.82 billion years
So, age of rock = 7.82 billion years
What is the value of x when in the equation 3x-4y=65
Answer:
21.66666667
Step-by-step explanation:
3x-4(0)=65
3x=65
x=21.66666667
You replace y wil 0 when you are sovling for x
May you help me with this question please
Answer:
C. x < 10
Step-by-step explanation:
2x - 8 < 12
Add 8 to both sides
2x < 20
Divide both sides by 2
x < 10
Answer:
Option C
Step-by-step explanation:
We are given the inequality 2x - 8 < 12,
[tex]2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C[/tex]
As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).
Solution ⇒ Option C
3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
Can someone please do the probability please
Answer:
47/73
Step-by-step explanation:
There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.
Given the function f(x) = -5|x + 1|+ 3, for what values of x is f(x) = -12?
x = -2, x = -4
x = -2, x = 4
x = 2, x = -4
x = 2, x = 4
Answer:
x =2 x = -4
Step-by-step explanation:
-5|x + 1|+ 3 = -12
Subtract 3 from each side
-5|x + 1|+ 3-3 = -12 -3
-5|x + 1| = -15
Divide each side by -5
-5/-5|x + 1| = -15/-5
|x + 1| = 3
Since this is an absolute value, we have two solutions one positive and one negative
x+1 = 3 x+1 = -3
Subtract 1 from each side
x+1-1 = 3-1 x+1-1 = -3-1
x =2 x = -4
Answer:
the answer is c
Step-by-step explanation:
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Step-by-step explanation:
Surface area of a cylinder:
A = (2 x pi x r x h) + (2 x pi x r^2)
(2 x pi x 5 x 25) + (2 x pi x 5^2)
785.3981 + 157.0796 = 942.4777cm^2
Volume of cylinder:
V = pi x r^2 x h
pi x 5^2 x 25 = 1963.4954cm^3
Lisa walks at a speed of 3.25 miles per hour for 1.5 hours. How many miles does she walk in all?
Answer: 5.25 miles
Step-by-step explanation:
I will mark it as brainliest whoever has the clearest explanation
Answer:
44 cm
Please see the attached picture for full solution
Hope it helps....
Good luck on your assignment
which law would you use to simplify the expression (p/q)^3
Answer:
Step-by-step explanation:
A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:
Answer:
The correct option is;
105 band members
Step-by-step explanation:
The 5 values are
Minimum value = 80
Q₁ = 90
Q₂ = 105
Q₃ = 115
Maximum value = 130
Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;
50% of high schools in Orange County have more than 105 band members.
Answer:
The answer would be 105
Step-by-step explanation:
I got this right on Khan Academy <33
How do you solve the inequality 2x − 3 < −5
Answer:
x=< -1
Step-by-step explanation:
move the constant to the right-hand side and change its sign. 2x<-5+3
Calculate the sum
2x<-2
Divide both sides of the inequality by 2
x <-1
someone help please!
how is converting percentages to and from fractions and decimals used in daily life
Answer & Step-by-step explanation:
We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.
Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :)))
Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
HELPPPPP
What are the coordinates of the hole in the graph of the function?
f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.
Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.
If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)
Step-by-step explanation:
I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:
We have the function:
f(x) = (x^2−3x−10)/(x−5)
We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.
If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.
First, we need to see if the numerator part is also zero when x = 5.
so
5^2 - 3*x - 10 = 25 -15 - 10 = 0
Ok, let's find the other root of the quadratic function:
x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)
then we have: (b + 5) = 3 and b*5 = -10
then b = -2, this means that we can write the numerator part as:
x^2 - 3*x - 10 = (x - 5)*(x + 2)
then our function is:
f(x) = (x - 5)*(x + 2)/(x - 5) = x + 2
This function has no holes.
Now, if the function actually is:
f(x) = x^2−3x−10/x−5
Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?
*diagram of floor plan is attached below
Answer:
30m²
Step-by-step Explanation:
From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.
To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.
Area of rectangle = L*B
For the hall way, L = 3.2m, B = 1.5m
Area of hall way = 3.2*1.5 = 4.8m²
For the living room, L = 6m, B = 4.2m
Area of Living room = 6*4.2 = 25.2m²
Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²
Answer:
30m²
Step-by-step explanation:
6x – 5 = 13 – 3х solve
Answer:
x=2
Step-by-step explanation:
6x−5=13−3x
Step 1: Simplify both sides of the equation.
6x−5=13−3x
6x+−5=13+−3x
6x−5=−3x+13
Step 2: Add 3x to both sides.
6x−5+3x=−3x+13+3x
9x−5=13
Step 3: Add 5 to both sides.
9x−5+5=13+5
9x=18
Step 4: Divide both sides by 9.
[tex]\frac{9x}{9}[/tex]= [tex]\frac{18}{9}[/tex]
x = 2
Answer: x=2
Step-by-step explanation:
Start by adding 3x to 6x, this eliminates the variables on the right side of the equation and leave you with 9x-5=13. From here, add five to both sides of the equation, which cancels out on the left side and leads you to have 18 on the right side. Remember that you want to have a lone variable, so you take the current equation of 9x=18 and divide both sides by 9, which cancels out on the left side and leaves the right side as 2. Therefore, x=2.
simplify (a+b)^3 + (a-b)^3 + 6a(a^2-b^2)
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3
In the simplest form expression (a + b)³ + (a - b)³ + 6a(a² - b²) can be written as, 8a³
What are algebraic identities?Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Given that,
A algebraic identity,
(a + b)³ + (a - b)³ + 6a(a² - b²)
It is known that,
(a + b)³ = a³ + b³ + 3ab(a + b)
(a - b)³ = a³ - b³ - 3ab(a - b)
So, now we can substitute expressions
(a + b)³ + (a - b)³ + 6a(a² - b²)
a³ + b³ + 3ab(a + b) + a³ - b³ - 3ab(a - b) + 6a(a² - b²)
a³ + b³ + 3a²b + 3ab² + a³ - b³ -3a²b + 3ab² + 6a³ - 6ab²
8a³
Hence, the simplest form is 8a³
To know more about algebraic expressions check:
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A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
Answer:
0.62
Complete question:
What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?
Step-by-step explanation:
assuming,
A: Aya gets a coupon one day. P(A) = 0.15
B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85
Aya doesn't get a coupon in any of 6 days = P(B)^6 = 0.85^6 = 0.38
The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:
1 - P(B)^6= 1 - 0.38 = 0.62
O
ZA
Round your answer to the nearest hundredth.
8
с
B
?
2
А
Answer:
75.96 Degrees
Step-by-step explanation:
Use the trigonometric functions of Sine Cosine and Tangent
(SOH CAH TOA)
The unknown angle is near the adjacent side of 2 and the opposite side of 8
Therefore you use the Tangent function
However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)
Unknown Angle = ArcTan (8 / 2)
Unknown Angle = 75.96 Degrees
Note: ArcTan is just Tan to the power of -1
On my calculator I have to click shift then click the tan function to access this it may be different on yours
5x - 10 = 0 in division property of equality form
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
Which statements accurately describe the function f(x) = 3(18)*? Select three options.
O The domain is all real numbers.
The range is y> 3.
The initial value is 3.
The initial value is 9.
The simplified base is 372.
Answer:
Step-by-step explanation:
Without the variable x, your "f(x) = 3(18)*" is not a function. If you meant
f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).
the initial value is 3: f(0) = 3(18)^0 = 3(1) = 3
The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Without the variable x, your "f(x) = 3(18)*" is not a function.
If you meant
f(x) = 3(18)^x,
then the domain is "the set of all real numbers,"
and the range is (0, infinity).
the initial value is 3:
f(0) = 3(18)^0 = 3(1) = 3
Hence, The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
To learn more on function click:
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Please help stuck on this question
Answer:
110 - 2x
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 50 + 5x - 40 + 110 - 2x = 180, that is
4x + 120 = 180 ( subtract 120 from both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
x + 50 = 15 + 50 = 65°
5x - 40 = 5(15) - 40 = 75 - 40 = 35°
110 - 2x = 110 - 2(15) = 110 - 30 = 80°
The largest angle is (110 - 2x)° = 80°
