The number of the arrangement for the five sequences will be 6.
What are permutation and combination?Combination and permutation are two different ways in mathematics to divide up a set of elements into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a particular order.
Given that a sequence is a sequence of positive integers whose terms add up to $5.$ For example, 2, 2, 1 and 2, 1, 2.
The number of the ways will be calculated as:-
3! = 3 x 2
3! = 6
Hence, the number of the different arrangements for the sum of 5 will be 6.
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A number increased by 7 gives 20, what is the number?with steps pls
Answer: 13
Step-by-step explanation:
13+7= 20
Answer:
The number is 13.
Step-by-step explanation:
"A number" is a number we don't know to begin with. It should be represented by a variable. Let's use n. We'll probably be trying to find this number.
"increased by" usually means that there is adding going on here.
So far, we have:
n + 7
that is algebra for "A number increased by 7"
"gives 20" is a little strange wording, but it means yields or equals.
So now we have the whole equation:
n + 7 = 20
To solve, subtract 7 from both sides (of the equal sign)
n = 20 - 7
n = 13
The number is 13.
Check:
13 increased by 7 gives 20?
13 + 7 = 20 ?
20 = 20 ✔Yes! Done!
if a meal costs $74.30, the tax is 7%, and you want to leave a 13% pre-taxed tip, how much do you pay in total?
I get to pay a total cost of $89.16 for the meal.
What is an Algebraic Expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, multiplications and so on). Expressions are made up of terms. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is called a coefficient.
Pretax = 13% of meal cost
Tax = 7% of meal cost
Total = Meal cost + 13% of meal cost + 7% of meal cost
Total = $74.30 + (13/100 x $74.30) + (7/100 x $74.30)
Total = $74.30 + $9.659 + $5.201
Total = $89.16
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3. AABC is equilateral. Use what you know about an equilateral triangle to write and solve an equation for x. What is the perimeter of AABC? 4x-3 B A 2x + 11 C
The value of x would be 7 and perimeter of equilateral triangle would be 75.
What is Equilateral triangle and perimeter of equilateral triangle?
An equilateral triangle is one with the equal length on all three sides. To calculate the perimeter of an equilateral triangle given its area, we must first determine the length of its sides.
An equilateral triangle has three congruent sides, so if AABC is equilateral, we know that AB = BC = AC. We can use this information to write an equation for x, the length of one of the sides.
AB = BC = AC
given equations are,
4x-3 and 2x+11
as we know that, all sides of equilateral triangle are equal then,
4x-3 = 2x+11
2x = 14
x = 7
The perimeter of an equilateral triangle = 3 x side of equilateral triangle
Here, all sides of equilateral triangle are equal then sides = 25
Perimeter of an equilateral triangle = 3 x 25
Perimeter of an equilateral triangle = 75
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your colleague has built a model to show how the weather has an impact on daily sales of ice cream in your shop. the variable that tells you what the weather was like, is known as what?
Answer:
Independent variable. cause the sales will be depending upon the weather.
Step-by-step explanation:
Create a function table for this function
y= -2
Answer:
Step-by-step explanation:
The function y = -2 is a constant function. It means that the output of the function is always equal to -2, regardless of the input value.
Here is a function table that shows the input and output values for y = -2:
x y
1 -2
2 -2
3 -2
4 -2
5 -2
As you can see, for any value of x, the output is always -2, since y = -2 is a constant function
Help please!
Select ALL the equation with the same y-intercept.
The equations with the same y-intercept are y = 9x + 2, y = 8x + 2, y = 3x + 2 and y = (1/4)x + 2.
How to determine the equation with the same y-intercept?
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system
The slope-intercept form of the equation of a line is y = mx+b,
where m is the slope and b is the y-intercept
Let's compare the given equations with y = mx+b:
y = 5x - 2, y-intercept (b) = -2
y = 9x + 2, y-intercept (b) = 2
y = 8x + 2, y-intercept (b) = 2
y = 3x - 7, y-intercept (b) = -7
y = 3x + 2, y-intercept (b) = 2
y = 3x + 4, y-intercept (b) = 4
y = (1/4)x + 2, y-intercept (b) = 2
Therefore, y = 9x + 2, y = 8x + 2, y = 3x + 2 and y = (1/4)x + 2 have the same y-intercept
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HELPPPPPPPPPPPP DUE IN 20 MIN
Answer: D
Step-by-step explanation: the amount per cashews (c) is $2.45. Therefore, its 2.45c
The amount per pounds of sugar is $0.61. Therefore, its 0.61s
And, since its "buying" (basically, adding), you gotta add them. So, the answer would be: 2.45c+0.61s
using a systematic sample guarantees that members of each group within a population will be sampled. question content area bottom part 1 choose the correct answer below. a. true. b. false. using a stratified sample guarantees that members of each group within a population will be sampled. c. false. using a cluster sample guarantees that members of each group within a population will be sampled.
The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".
False. Using a systematic sample does not guarantee that members of each group within a population will be sampled. A systematic sample is a type of probability sampling in which a random starting point is chosen and then every nth item is selected from the population. This can lead to bias if the population contains patterns or cycles.
A true statement would be: "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled."
The given statement is False
The correct form is given below-
Using a random sample guarantees that members of each group within a population have an equal chance of being sampled.
Thus, The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".
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Write the explicit formula for each geometric sequence.
Then determine the 8th term of each sequence.
Show work below.
Part A) 4, 16, 64, 256,...
Answer: The explicit formula for a geometric sequence is given by:
an = a1 * r^(n-1)
Where a1 is the first term, r is the common ratio, and n is the term number.
Part A) In this sequence, the first term is 4, and the common ratio is 4/1 = 4.
So the explicit formula for this sequence is:
an = 4 * 4^(n-1)
To find the 8th term of this sequence, we can substitute n = 8 into the formula:
a8 = 4 * 4^(8-1)
a8 = 4 * 4^7
a8 = 4 * 16,384
a8 = 65,536
Therefore, the 8th term of this sequence is 65,536.
Step-by-step explanation:
h. Write a decimal number and a fraction commonly used as
approximations
for pi.
The decimal number and the fraction commonly used as approximations for pi are 3.142 and 22/7
How to determine the decimal and the fraction?from the question, we have the following parameters that can be used in our computation:
pi
The pi variable is a mathematical constant that has the following fractional value
pi = 22/7
When converted to decimal in 3 decimal places, we have
pi = 3.142
Hence, the representations are 22/7 and 3.142
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If FG = 2x, GH = x + 4, and FH = 10, what is FG?
The value for the line segment FG represented by the algebraic expression 2x is equal to 4.
What is an algebraic equationAn algebraic equation is a mathematical statement that contains two equated algebraic expressions.
The sum of the line segments FG and GH is equal to FH so;
2x + x + 4 = 10
3x + 4 = 10
3x = 10 - 4 {subtract 4 from both sides}
3x = 6
x = 6/3
x = 2
line segment FG = 2(2) = 4
line segment GH = 2 + 4 = 6
Therefore, the value for the line segment FG represented by the algebraic expression 2x is equal to 4.
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Taylor and Raimi each earn an hourly wage. Taylor earns $308 for working 14 hours. Raimi earns $288 for working 12 hours. Which person earns more per hour?
A pair of sneakers costs $46.99. You have a coupon for 15% off. What is the total cost of the sneakers after 5% sales tax is included?
Answer:
The cost of the sneakers after the coupon is applied would be $46.99 - ($46.99 * 15%) = $39.94.
The total cost of the sneakers after 5% sales tax is included would be $39.94 + ($39.94 * 5%) = $41.94
Answer: $41.94
15% off means the sneakers are at 85% of it's original price.
85% = 0.85
$46.99 x 0.85
= $39.94 after 15% coupon
5% sales tax means you are adding 5% to the price.
105% = 1.05
$39.94 x 1.05
$41.94, after the coupon and sales tax.
Using suitable identity evaluate the following:
(i) 98³
(ii) 188 × 212
(i) 98³
(100-2)³
100³ + 2³ + 3(100*2)(100+2)
[by using the equation (a-b)3=a3+b3+3ab(a+b)]
1000000+8+(600*102)
The solution is 1000008+61200 1061208.
(ii) 188 × 212 = 39856
Given:
The ratio of 188 to 212
To locate
the importance of adopting a proper identity
Equation: (a + b) = (a2 - b2 ( a - b )
Solution:
Phase 1 of 2:
Note the supplied expression in writing.
The formula is 188 212. Step 2 of 2:
Find the expression's value.
188 × 212\s= ( 200 - 12 ) × ( 200 + 12 )
= ( 200 + 12 ) × ( 200 - 12 ) ( 200 - 12 )
= 200² - 12²
= 40000 - 144
= 39856
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Which decimal number is less than 1.4 and greater than 1.35?
A. 1.34
B. 1.39
C.1.40
D. 1.53
Answer:
B
Step-by-step explanation:
The decimal number less than 1.4 and greater than 1.35 is A = 1.39
What are decimal numbers?The decimal numbers can only be expressed as fractions since they contain a fractional component. The accepted method for representing both integer and non-integer numbers is the decimal numeral system. There are 10 single-digit numbers in the decimal system:
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After the number 9, comes 10, then comes 11, then 12, and so on. Each time the digit to the right exceeds 9, the number on the left is increased by 1.
Given data ,
Let the decimal number be represented as A
Now , the value of A is
Let the first number be p = 1.4
Let the second number be q = 1.35
Now , q < A < p
The value of A is less than 1.4 and greater than 1.35
So , A = 1.39
Hence , the decimal number is A = 1.39
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Find the distance between G and H on the number line below -12 and -2
The distance between G and H on this number line is 10
What is number line?
A range of line is a pictorial representation of numbers on a immediately line. It’s a reference for evaluating and ordering numbers. it is able to be used to symbolize any real variety that consists of each whole quantity and herbal quantity. simply to don't forget, the whole wide variety is a set of numbers that encompass all counting numbers (1, 2, three,four,5,6 …….) and zero (0), whereas the herbal number is the set of all counting numbers i.e. 1, 2, three, 4, five, 6……..
Given in the number line,
The number line is from the -12 to 7
And
we have to find the distance between G and H on this number line
GH = -2+12
GH = 10
Hence, The distance between G and H on this number line is 10
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the coefficients of the terms on the right side of a ___ equation are the numbers in the triangle.
The coefficients of the terms on the right side of a binomial equation are the numbers in the triangle.
As the power increases, the expansion becomes more difficult to compute and takes longer. A binomial statement that has been raised to a very high power can be swiftly calculated using the binomial theorem. Find out everything there is to know about the binomial theorem, including its definition, characteristics, and uses.
The binomial theorem can be used to expand an expression that has been raised to any finite power. The binomial theorem is a helpful expansion method having applications in probability, probability theory, and algebra.
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Write your answer as a fraction or whole number without exponents.
4 ^–1 =
The index form 4 ^–1 as a fraction or whole number without exponents is 1/4
What are index forms?The index form of a number described as the number that is written as an exponential expression
Index forms are also described as a single number that is raised to another number or variable.
The index or exponent of an exponential expression shows how many times to multiply the base by itself in the expression.
From the information given, we have the index form as;
4^-1
This is represented as a fraction;
1/4^1
Note that any number that is raised to 1 is equal to the number
1/4
Hence, the value is 1/4
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The foot of an extenion ladder i 15 feet from the wall. The ladder i 7 feet le than three time longer than the height that it reache on the wall. What i the length of the ladder?
The length of the ladder is 22 feet.
Let x = the height the ladder reaches on the wall.
Then 3x = the length of the ladder.
Substituting 15 for the foot of the ladder from the wall, we have:
15 + 3x = the length of the ladder
7 = 3x
x = 7/3
Substituting 7/3 for x in the equation 15 + 3x = the length of the ladder we have:
15 + 3(7/3) = the length of the ladder
15 + 7 = the length of the ladder
22 = the length of the ladder
The length of the ladder can be determined by first figuring out how high the ladder reaches on the wall. Let x equal the height the ladder reaches on the wall. Then, the length of the ladder, 3x, can be determined. Since the foot of the ladder is 15 feet from the wall, the equation 15 + 3x = the length of the ladder can be written. In this equation, 7 is the known value for 3x, since the ladder is 7 feet less than three times longer than the height it reaches on the wall. Therefore, x = 7/3. Substituting 7/3 for x in the equation 15 + 3x = the length of the ladder, the equation 15 + 3(7/3) = the length of the ladder can be written. Simplifying this equation, 15 + 7 = the length of the ladder can be written, which means the length of the ladder is 22 feet.
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need the answer asap ! thank you to whoever helps !
[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex] is the result of the operation, Option A is correct.
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
The given operations are
[tex]\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]
In the given operation, the operators used are addition and subtraction
[tex]\left[\begin{array}{ccc}13-3+6&10+2+10&7-6+15\\6-14+10&8+6+0&1-11+9\\2-8+1&5+12+0&0-9+7\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]
Hence, [tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex] is the result of the operation, Option A is correct.
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Noah drew a pentagon with sides of length 1 inches. He wants to increase the length of each side by x inches so the pentagon is still a pentagon and has a perimeter of 25 inches.
The value of x that will give a perimeter of 25 inches is 4 inches
How to find the value of x that will give a perimeter of 25 inches?
The perimeter of a pentagon is the sum of the lengths of all its sides. The formula to calculate the perimeter of a pentagon is:
P = 5L
where is the side length
Initially, the sides of length, L is 1 inches
Now, we increase L by x and perimeter is 25 inches. Thus, can write:
25 = 5(1 + x)
25 = 5 + 5x
5x = 25 - 5
5x = 20
x = 20/5
x = 4 inches
Therefore, the value of x is 4 inches
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Michael wants to place grass on the side of his lap pool find the area of the Shaded region that he wants to cover with grass
Michael wants to place grass on the side of his lap pool, the area of the shaded region that he wants to cover with grass is 204 square yard.
We have to determine the area of the Shaded region that he wants to cover with grass.
By calculating the overall area and taking the area of the lap pool out, the area of the shaded area may be calculated.
We can see that the shape is the trapezium. So;
Area of trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) yd
Sum of parallel sides = 25 yd + 15 yd
Sum of parallel sides = 40 yd
Distance between them = 12 yd
Area of the trapezium = 1/2 × 40 × 12
Area of the trapezium = 40 × 6
Area of the trapezium = 240 square yd
Now finding the area of lap pool.
Area = length × width
Area = 12 × 3
Area = 36 square yd
Now finding the area of shaded region
Area = Area of the trapezium - Area of lap pool
Area = 240 - 36
Area = 204 square yard
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Need help with 7-9 plssss
The following are solutions to the inequalities;
7. c < 7
8. h < -4
9. r ≤ 55
What is an Inequality?Inequality is a relationship between two expressions or values that are not equal to each other. Lack of balance results in inequality.
In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs.
7. 8c - 21 < 35
8c < 35 +21
8c < 56
c < 7
8. -6h + 17 > 41
-6h > 41 - 17
-6h > 24
h < 24/-6
h < -4
9. r/5 - 2 ≤ 9
Multiplying through by 5
r - 10 ≤ 45
r ≤ 45 + 10
r ≤ 55
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help please all 4 problems
The equation of the slope is y = -5x + 72.
What is slope?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
Given that:
72 inches is the depth of the liquid level in water tank.
Water drains at a rate of 5 inches per minute.
Let y represent the tank's height, which is given as 72.
Let x be the total number of minutes, here x = 0.
Therefore, the slope's equation is the rate at which the water drains, that is:
m = -5
The equation of the line is given by the formula:
y = mx + c
Substitute the values:
72 = -5(0) + c
c = 72
And the equation is:
y = -5x + 72
Hence, the equation of the slope is y = -5x + 72.
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how many ways are there to pick two successive cards (without replacement) from a normal 52 card deck so that: (a) the first is an ace and the second is not a queen?
There are 188 ways to pick one ace and next card as not a queen.
There are 4 aces in a normal 52 card deck, and once one is picked, there are 51 cards left.
If we want to pick two successive cards from a normal 52 card deck so that the first is an ace and the second is not a queen, we can use the following formula:
Number of ways = (number of aces) x (number of cards not a queen)
In this case, the number of aces is 4, and the number of cards not a queen is 47 (52 cards total - 4 queens - 1 ace that has been picked).
So the number of ways to pick two successive cards from a normal 52 card deck so that the first is an ace and the second is not a queen is 4 x 47 = 188.
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Which sentence uses correct punctuation?
A. Exercise and diet; these are the keys to living a long life.
O
B. There are three places I want to visit: Japan, India, and France.
C. Mara wished she could visit the stars: she often dreamed of it.
D. Dr. Chu has this to say about sugar; "Only eat small amounts."
Answer:
C. Mara wished she could visit the stars: she often dreamed of it.
The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this* equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain.
*The equation in question - (0.7c) = 42
Please hurry!
Answer:
Step-by-step explanation:
The selling price of a phone case with a 25% coupon is $56 and the original selling price of the phone case without any discount is $80.
What is the selling price?
The price at which an article is sold is known as the selling price of that article.
Given that you have a 25% off coupon and paid $42.00 for a phone case. The phone case was marked down 30%. So,
Let's consider that you use a 25% off coupon and then paid $42 for the phone case. The price of phone case including coupon is,
75 % of price = $42.00
100% of price =
Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males ​(1000 ​cells/mu​L) Frequency 0​-99 3 100​-199 54 200​-299 76 300​-399 21 400​-499 0 500​-599 0 600​-699 1 Identify the lower class limits​ (in 1000 ​cells/mu​L).
1) The lower class limits: 100, 200, 300, 400, 500, 600 .
2) The upper class limits: 199, 299, 399, 499, 599, 699.
3) The class width: 100.
4) Class midpoints: 149.5, 249.5, 349.5, 449.5, 549.5, 649.5.
5) Class boundaries : 99.5, 199.5, 299.5, 399.5, 499.5, 599.5, 699.5.
6) The number of individuals included in the summary : 155
The lower class limit in each class: 0,100, 200, 300, 400, 500, 600.
The upper-class limit is the biggest value in each class.
so the upper-class limit is: 99, 199, 299, 399, 499, 599, 699.
As we know the class width is the difference between the lower limit of one class and the lower limit of the previous class.
For example, 300 is the lower limit of one class and the lower limit of the previous class is 200 , so 300 - 200 = 100.
We know that, the class midpoints are the average of the limits of a class.
So, using midpoint formula the class midpoints are:
[tex]\frac{100+199}{2} = 149.5\\\\\frac{200+299}{2} = 249.5\\\\\frac{300+3199}{2} = 349.5\\\\\frac{400+499}{2} = 449.5\\\\\frac{500+599}{2} = 549.5\\\\\frac{600+699}{2} = 649.5\\[/tex]
We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.
So, the class boundaries for the first class = (99.5, 199.5)
the class boundaries for the second class = (199.5, 299.5)
the class boundaries for the third class = (299.5, 399.5)
the class boundaries for the fourth class = (399.5, 499.5)
the class boundaries for the fifth class = (499.5, 599.5)
The total of individuals is equal to the sum of all the frequencies of each class: 3 + 54 + 76 + 21 + 0 + 0 + 1 = 155
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The complete question is:
Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Blood Platelet Count of Males (1000 cells/muL) Frequency 0-99 3 100-199 54 200-299 76 300-399 21 400-499 0 500-599 0 600-699 1 Identify the lower class limits (in 1000 cells/muL).
Mai says that the equation 2x + 2 = x + 1 has no solution because the left hand side is double the right hand side. Do you
agree with Mai
No, the equation 2x + 2 = x + 1 has solution which is equal to x = -1.
Mia gave statement for the equation:
Left hand side is double the right hand side implies it has no solution.
2x + 2 = x + 1
Verification for the solution:
Simplify the above equation by subtracting 'x' both the sides we get,
⇒ 2x - x + 2 = x - x + 1
⇒ x + 2 = 1
Now subtract '2' from both the sides of the equations we get,
⇒ x + 2 - 2 = 1 - 2
⇒ x = -1
The above equation has no solution is incorrect statement.
Therefore, the equation 2x + 2 = x + 1 has no solution is wrong statement as the solution is given by x = -1.
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Help me please! (Worth 50 points!!!!)
Question 8: A system of equations is given.
-2y = 2 - 3x
-5y = 10 - 5x
Part 1: Use elimination to solve the system of equations & show all work.
Part 2: Identify the values for x & y by filling in the blanks below.
x = ______
y = ______
Answer:
Step-by-step explanation:
-2y=2-3x-5y=10-5x
-2y=10-5x
2-3x-5y-5x
(SIMPLIFY)
5x-2y=10
2x-5y=8
(MULTIPLY BOTH SIDES)
-25x-10y=-50
4x-10y=16
(ELIMINATE ONE VARIABLE BY ADDING THE EQUATIONS)
-21x=-34
(DIVIDE BOTH SIDES)
X=34/21
(SUBSTITUTE THE VALUE OF X)
2x34/21-5y=8
(SOLVE EQUATION)
Y=-20/21
(A POSSIBLE SOLUTION IS)
(X,Y)=(34/21 , -20/21)
(CHECK THE SOLUTION)
-2x(-20/21)=2-3x 34/21 - 5x (-20/21)=10-5 X 34/21
(SIMPLIFY)
40/21=40/21=40/21
(X,Y)= (34/21 , -20/21)
(SOLUTION)