A shop has 5 different shirts and 7 different jeans. how many ways are there to select two items so that at least one jeans is chosen?

Matching of each addition operation with their correct sum is;

1) -24⁵/₉ + 30⁷/₉ → 6²/₉

2)  45²/₉ + 39³/₉ → 84⁵/₉

3)  28.98 + (-52.22) → -23.24

4) 56.75 + 75.12 → 131.87

1) We want to add the fractions;

-24⁵/₉ + 30⁷/₉

= -221/9 + 277/9

= ¹/₉(-221 + 277)

= 56/9

= 6²/₉

2)  We want to add the fractions;

45²/₉ + 39³/₉

= 407/9 + 354/9

= 761/9

= 84⁵/₉

3)  We want to add the decimals;

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

4) We want to add the decimals;

56.75 + 75.12

= 131.87

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Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

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[tex]r = \frac{u_{4}}{u_{3}} = \frac{ - 56}{28} = - 2[/tex]

[tex]u_{n} = u_{1} \times r {}^{n - 1} \\ ie \colon \: u_{4} = u_{1} \times r {}^{4 - 1} \\ \: \: \: - 56 = u_{1} \times ( - 2) {}^{3} \\ u_{1} = \frac{ - 56}{ - 8} = 7[/tex]

[tex]S_{n} = ( \frac{1 - r {}^{n} }{1 - r} ) \: (u_{1}) \\ S_{6}=( \frac{1 - ( - 2) {}^{6} }{1 - ( - 2)} ) \: (7) \\ S_{6}= - 147[/tex]

a. The common ratio is -2.

b. The first term is 7

c. The sum of the GP is -147

(a) To find the common ratio (r), we can use the formula for the nth term of a geometric progression (G.P):

[tex]A_n = A_1 * r^(^n^-^1^)[/tex],

where Aₙ is the nth term, A₁ is the first term, r is the common ratio, and n is the term number.

Given that the 3rd term (A₃) is 28 and the 4th term (A₄) is -56, we can set up two equations using the formula above:

[tex]28 = A_1 * r^(^3^-^1^)[/tex],     (Equation 1)

[tex]-56 = A_1 * r^(^4^-^1^)[/tex].     (Equation 2)

Dividing Equation 2 by Equation 1, we get:

[tex]-56/28 = (A_1 * r^(^4^-^1^)^) / (A_1 * r^(^3^-^1^))\\-2 = r.[/tex]

Therefore, the common ratio (r) is -2.

(b) To find the first term (A1), we can substitute the known values into one of the equations. Let's use Equation 1:

[tex]28 = A_1 * (-2)^(^3^-^1^)\\28 = A_1 * (-2)^2\\28 = A_1 * 4\\A_1 = 7[/tex]

Therefore, the first term (A₁) is 7.

(c) To find the sum of the geometric progression, we can use the formula for the sum of the first n terms of a geometric progression:

[tex]S_n = (A_1 * (1 - r^n)) / (1 - r)[/tex],

where Sₙ is the sum of the first n terms.

Given that there are 6 terms (n = 6), A₁ = 7, and r = -2, we can calculate the sum (S₆):

[tex]S_6 = (7 * (1 - (-2)^6)) / (1 - (-2)).[/tex]

Simplifying:

S₆= (7 * (1 - 64)) / (1 + 2),

S₆ = (7 * (-63)) / 3,

S₆ = -147.

Therefore, the sum of the geometric progression is -147.

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Answer: that would make it 62 F.

The correct answer is 9x-18.

The ability to reverse other functions makes a function an inverse function. It is somewhat similar to undoing another function, which returns you to your starting point. Driving from home to the shop is a function, and driving from the shop back to home is a function.

The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a log function are just a few examples of the various types of inverse functions.

Substituting f(x) with y

f(x)=1/9x+2

y=1/9x+2

x=1/9y+2

x-2=1/9y

y=9x-18

Thus inverse is f^-1(x)=9x-18

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Answer:

a. zy = yz

Step-by-step explanation:

Commutative property of multiplication rule:

(a)(b) = (b)(a)

Step-by-step explanation:

...........................

Answer:

x=1

Step-by-step explanation:

-2(2x-4)=4x

Distributive property.

-4x+8=4x

+4x      +4x

8x=8

/8  /8

x=1

Hope this helps!

Please mark as brainliest if correct!

Answer:

108347  (srry for not seeing bestay)

Step-by-step explanation:

The correct interpretation of this result is that the researcher is 94% certain that the average amount of time spent by commuters who use the public transit system is between 17.86 to 27.45 minutes.

The confidence interval is the average estimate, plus and minus the values obtained from the research. The two values obtained from the research represent the expected range within which the values can fall between.

In the question above, the range is between 17.86 to 27.45 minutes. The research is sure that the average about of time spent by commuters must fall within these values. The degree of certainty is 94%.

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Answer:

Step-by-step explanation:

Not sure..

Answer:

no

Step-by-step explanation:

the divisibility rule of 9 says that if the sum of the numbers of the number you are going to divide by 9 is a multiple of 9 then it is divisible by nine.

1+1+2+2+8+3=17 which is not a multiple of 9.

Therefore it is not divisible by 9.

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

The distance formula used to determine the distance between two points is expressed as;

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

Given the data in the question;

Point 1: (5, -5)

Point 2: (-7, 11)

Plug the given values into the distance formula and simplify.

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

D = √( (-7 - 5)² + (11 - (-5))² )

D = √( (-12)² + (11 + 5)² )

D = √( (-12)² + (16)² )

D = √( 144 + 256 )

D = √( 400 )

D = 20.0

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

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The statements and reasons to find x in a two column proof are as detailed below.

From the given image, we can carry out the two column proof to find the value of x as;

Statement 1; ∠QWT and ∠TWX are complementary

Reason 1; Given

Statement 2; m∠QWT + m∠TWX = 90°

Reason 2; Definition of Complementary angles

Statement 3; 2x + x + 6

Reason 3; Substitution

Statement 4; 3x + 6 = 90°

Reason 4; Addition

Statement 5; 3x = 84

Reason 5; Subtraction

Statement 6; x = 28

Reason 6; Division

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the region of space between the parallel planes x = 0

and x = 5

0 < x < 5

A direction or plane traveling past a specific place is considered to be vertical in astronomy, geography, and other relevant fields and settings if it contains the local gravity direction at that location. On the other hand, if a direction or plane is perpendicular to the vertical direction, it is said to be horizontal. The y-axis in the Cartesian coordinate system is an example of something that can generally be drawn from up to down (or down to up). The word vertical is derived from the late Latin verticalis, which is from the same root as vertex and means "highest point" or more literally the "turning point" such as in a whirlpool.

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The expressions that are equivalent to the given expression are 4 - 6 and -6 + 4

The expression is given as:

(4 * 1) - 6

Evaluate the product of 4 and 1

So, we have:

(4 * 1) - 6 = 4 - 6

By the subtractive property of and equation, we have:

(4 * 1) - 6 = -6 + 4

Hence, the expressions that are equivalent to the given expression are 4 - 6 and -6 + 4

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Answer:

73.39

Step-by-step explanation:

Answer:

73.705

Step-by-step explanation:

73.700

73.705

73.710

Divide 0.01 by 2 and u would get 0.005

5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

We are given that:

The relationship between x and y

We need to find  the dog food for the 25-pound adult dog

The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.

x = k y

k = x / y

k = 10 / 1/6

k = 10 (6)

k = 60

Let the dog food recommended for the 25-pound adult dog be y.

Weight of the dog = x = 25 pounds

Cups of dog food recommended = y

k = 60

Using the equation for the given relationship:

25 = 60 × y

y = 25 / 60

y = 5 / 12

Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

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Answer:

use air math they help and show you how to show your work it was a game changer for me

Step-by-step explanation:

Based on the information given, the value of x is 4

A line segment can be defined as the part of a straight line bounded by two distinct end points, and also contains every point on the line that is between its endpoints.

From the information given, we have PQ and RS are on the the same line with points Q and R as the line segments

We have that;

9x - 7 = 29

collect  like terms

9x = 29 + 7

9x = 36

Make 'x' the subject

x = 36/ 9

x  = 4

Thus, the value of x is 4

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Answer:

the answer is becareful

The multiplication of [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

Now, find the answer in scientific notation

[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

combine the all the like terms

[tex](2.4 \times 4)( {10}^{14} \times {10}^{7} )[/tex]

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

[tex](9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} [/tex]

Hence,the multiplication of[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex] in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

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The scalar product between two vectors involves the cosine function of the angle between the lines of action of the two vectors.

The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more). The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. Geometrically, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.

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Answer: 37.98 (I assume you mean times)

Step-by-step explanation:

Calculator :)

The line we want is given by the vector equation

L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)

L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k

As parametric equations, we write

x(t) = 4t + 5

y(t) = 3t + 2.5

z(t) = -t + 3.1

The following strings are propositional formulas under the signature:

(i)both 0-place connectives are formulas

(ii)for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula.

A propositional formula is a particular kind of syntactic formula that is well-formed and has a truth value in propositional logic. A propositional formula yields a distinct truth value when all of the variables' values are known. A propositional formula may alternatively be referred to as a phrase, a propositional expression, or a sentential formula.

Simple statements like "five is greater than three" or propositional variables like p and q are combined to build a propositional formula using connectives or logical operators like NOT, AND, OR, or IMPLIES.

The term "proposition" is frequently used in mathematics to refer to a propositional formula, but in reality, a propositional formula is a formal expression that signifies a proposition.

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The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]

Therefore , the Original price of the item  was $400.

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