One step inequalities!

X-14>29
If i am correct it would be x<43

Answer:

10

Step-by-step explanation:

We need to divide 2 3/5 ft by 1/4 ft.

2 3/5 / 1/4 =

= 2 3/5 * 4

= 13/5 * 4

= 52/5

= 10 4/10

Answer: 10

To show that the set {hk : he H and ke K} forms a subgroup of an abelian group G, where H and K are subgroups of G, we need to demonstrate closure, the existence of an identity element, and the existence of inverses for every element in the set.
iden
Let's consider the set S = {hk : he H and ke K}. To show that S is a subgroup of G, we need to prove three properties: closure, existence of an identity element, and existence of inverses.Closure: For any h₁k₁, h₂k₂ ∈ S, we need to show that their product, (h₁k₁)(h₂k₂), is also in S. Since G is an abelian group, we can rearrange the product as (h₁h₂)(k₁k₂). Since H and K are subgroups, h₁h₂ ∈ H and k₁k₂ ∈ K. Therefore, (h₁k₁)(h₂k₂) = (h₁h₂)(k₁k₂) ∈ S, proving closure.
Identity element: The identity element of G is denoted as e. Since H and K are subgroups, e ∈ H and e ∈ K. Thus, e ∈ S.Inverses: For any element hk ∈ S, we need to show the existence of its inverse. Since G is an abelian group, the inverse of hk is h^(-1)k^(-1). Since H and K are subgroups, h^(-1) ∈ H and k^(-1) ∈ K. Therefore, (hk)(h^(-1)k^(-1)) = (hh^(-1))(kk^(-1)) = ee = e, demonstrating the existence of inverses.
By satisfying closure, the existence of an identity element, and the existence of inverses, we conclude that S = {hk : he H and ke K} forms a subgroup of the abelian group G.

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Answer:

3

Step-by-step explanation:

the larger the angle, the larger the opposite side (the wider the gap, the longer the distance between the edges).

100° is the largest angle, and it is at A. the opposite side of A is BC.

then comes 50° at C. the opposite side of C is AB.

and at least there is 30° at B. and the opposite side of B is AC.

so, the answer is BC, AB (or BA, of course), AC

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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It can be concluded that the probability that all three students like pizza is more than 50% which implies that in a group of three students, it is more likely that all three will like pizza.

A school survey found that eight out of ten students like pizza. If three students are chosen at random with replacement, then we have to calculate the probability that all three students like pizza.

As given, P(likes pizza) = 8/10 = 0.8

We need to find the probability of three students liking pizza, which means the probability of an event happening thrice. This is a case of independent events with repetition.

Hence, the formula for independent events with repetition is used, which is: P(A and B and C) = P(A) × P(B) × P(C)

Where A, B and C are independent events. In this case, all three events are identical.

Hence, we have: P(A and A and A) = P(A)³ = (0.8)³ = 0.512

This implies that the probability that all three students like pizza is 0.512.

Therefore, if three students are chosen at random with replacement, the probability that all three students like pizza is 0.512 or 51.2%.

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Step-by-step explanation:

The distance between two point (x_1, y_1) and (x_2, y_2) is

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, the distance between (-1,4) and (1,-1) is

\(d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4\)

Therefore, the answer is option A, $7,364.58,

The term deposit will be worth $7,364.58

when it matures. The formula to calculate the future value of a term deposit is given by the formula:FV = P(1 + r/n)^(n*t),

whereP is the principal, r is the annual interest rate, n is the number of compounding periods per year, and t is the time in years.For the given problem,

P = $7,000

r = 6.25%

= 0.0625

n = 12 (since interest is compounded monthly) and t = 10/12 (since the term is 10 months)

Substituting the given values in the formula:

FV = $7,000(1 + 0.0625/12)^(12*10/12)

FV = $7,364.58

Therefore, the answer is option A, $7,364.58,

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer: m<F = 134
EF = 18in

Step-by-step explanation:
Since both angles FEG and FGE are equal, we could make out that lines EF and FG are equal measures making an isosceles triangle. Therefore we just add up both 23 to get 46 and subtract it by 180 getting 134

Both of the two triangles are similar by SSS similarity postulate.

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means that, if two triangles are similar, then we can say that their corresponding angles are congruent and corresponding sides are in equal proportion.

Looking at the 2 given triangles, we can see the ratio if corresponding sides as:

39/13 = 3

39/13 = 3

21/7 = 3

Since the ratios of the corresponding sides of both triangles are the same, then they are both Similar by SSS similarity postulate.

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To round intermediate calculations and final answers to 2 decimal places, use the following steps:

1. Identify the number that needs to be rounded.

2. Look at the digit in the third decimal place.

3. If the digit is 5 or greater, round up the previous digit. If the digit is 4 or less, leave the previous digit as it is.

When performing calculations or obtaining results that involve decimal numbers, it is often necessary to round the values to a certain number of decimal places. In this case, we want to round the numbers 130,452.45 and 106,343.98 to 2 decimal places.

To achieve this, we focus on the third decimal place of each number. For 130,452.45, the digit in the third decimal place is 4, which is less than 5. Therefore, we leave the previous digit (2) unchanged, resulting in the rounded value of 130,452.45.

For 106,343.98, the digit in the third decimal place is 9, which is 5 or greater. In this case, we round up the previous digit (3) by adding 1, resulting in 106,344.00 when rounded to 2 decimal places.

Rounding to 2 decimal places ensures that the numbers are presented with a specified level of precision. It is important to follow consistent rounding rules to maintain accuracy and avoid misleading interpretations of the data.

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Answer:

9

Step-by-step explanation:

9*4 = 36

9*9 = 81

divide both by 9 and you get 4:9

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

cause y=x and y=-x both are straight lines that go through the origin and y=3 is a straight line at y=3 forming a triangle

Answer: X= -2.1667 Y= 13

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

\(( 6{x}^{2} - 15x)( 4x - 10)\)

Step 3:

\(3x(2x - 5) + 2(2x - 5)\)

\((3x + 2)(2x - 5) \)

The function form of the given function would be  \(f(x)=log_b(x)\).

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

       \(f(x)=log_b(x)\)

Hence, the function form of the given function would be  \(f(x)=log_b(x)\).

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The function form of the given function would be  \(f(x)=log_b(x)\).

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

\(f(x)=log_b(x)\)

Hence, the function form of the given function would be  \(f(x)=log_b(x)\).

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The domain of the function represented by the graph is x ≥ 0

The function is represented by the graph of the function

From the given graph, we have the following observations

This means that the function has a domain of all set of real values greater than or equal to 0

This is represented as

x ≥ 0

So, the domain is x ≥ 0

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Answer:

a₂ = 12

Step-by-step explanation:

Given a₅ = 324

The term- to- term rule is ' multiply by 3 '

Then the reverse rule is ' divide by 3 '

a₄ = a₅ ÷ 3 = 324 ÷ 3 = 108

a₃ = a₄ ÷ 3 = 108 ÷ 3 = 36

a₂ = a₃ ÷ 3 = 36 ÷ 3 = 12

Answer:

y = x^2 - 2x - 8

Step-by-step explanation:

First we can put it into vertex form, the vertex is at (1, -9)

y = a ( x − h )^2 + k .

y = 1 (x - 1)^2 - 9

Then distribute:

y = x^2 - 2x + 1 - 9

y = x^2 - 2x - 8

Answer:

3 3/4 - 1 6/8 = 2

Step-by-step explanation:

3-1=2 and 3/4-6/8=0

Answer:

A. 50

Step-by-step explanation:

Answer:

D.  100,000

Step-by-step explanation:

The exponent for 10^5 is 5.  Move the decimal point five places to the right to obtain the decimal value.  10^5 is the same as 1 x 10^5.

1 x 10^5

10 x 10^4

100 x 10^3

1000 x 10^2

10000 x 10

100,000

Keenan hiked 15 times as far as Margot. How far did Keenan hike? the total number of miles be m

The Keenan hike is measured in m is \(\frac{15m}{16}\)miles.

The given parameters;

Keenan and Margot hiked m miles altogether.

Let the distance Margot hiked = n

Then, the distance Keenan hiked = 15n

The combined distance both hiked: m = n + 15n

Calculating Margot's hiked distance in terms of m is as follows:

m = n + 15n

m = 16n

n=\(\frac{m}{16}\)

The calculation for Keenan's hike in terms of miles is

= 15(n)

=15\(\frac{m}{16}\)

=\(\frac{15m}{16}\)

Thus, the  distance hiked by Keenan in terms of m is \(\frac{15m}{16}\)miles.

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Notice that the equation provided for the height in terms of the time has the same form as the following equation :

which is the general form of a quadratic equation.

Answer: Quadratic

Answer:

3

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

(750÷100)2=15

750÷100=1%

Answer:

The expression for the area is;

Explanation:

Given that the length of the rectangle is 3 and the width is (7-4x);

Recall that the area of rectangle can be calculated by multiplying its length by the width.

So, the expression for the area of the given rectangle is;

Therefore, the expression for the area is;