please help me solve this problem thankyou
Simplify 2/6+1/4

Answer:

14

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = \(\frac{1}{6}\)

Total pounds of pebbles that Timothy can use = \(2\frac{1}{3}\)

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

\(1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}\)

Now, the given mixed fraction can be converted to fractional number as:

\(2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}\)

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

\(\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}\)

14 number of fish bowls can be filled.

The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.

Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.

In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.

To further understand this concept, let's break down the options provided:

a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.

b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.

c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.

d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.

In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).

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Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles

An equation is an expression that shows the relationship between two or more numbers and variables.

The floor measures 4 1/2 ft by 3 3/4 ft.

Hence:

Area of floor = 4 1/2 ft * 3 3/4 ft = 9/2 ft * 15/4 ft = 16.875 ft²

Each tile measures 1 square foot each, hence:

number of tiles needed = 16.875 ft² / 1 ft² per tile = 16.875 tiles ≅ 17 tiles

The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles

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Answer:

a looks like its the most related to your triangle

Answer:

SOH CAH TOA

Step-by-step explanation:

/hyp/2=/ opp/ 2 +/Adj/2

x2=(1/21)2 + 1/28)2

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

False. A trigonometric equation with an infinite number of solutions is not necessarily an identity.

A trigonometric identity is an equation that holds true for all values of the variables involved. It is a fundamental property of trigonometric functions. On the other hand, a trigonometric equation with an infinite number of solutions means that there are multiple values of the variables that satisfy the equation, but it doesn't imply that the equation is true for all values.

For example, the equation sin(x) = 0 has an infinite number of solutions, which are x = 0, π, 2π, 3π, and so on. However, this equation is not an identity because it is not true for all values of x. It is only true when x is an integer multiple of π.

Therefore, it is important to distinguish between trigonometric identities that hold true for all values and trigonometric equations that have an infinite number of solutions but may not be true for all values.

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Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

If Henry has a plot of land that is 3km by 4.3km, he will require fencing supply of 14.6km.

Henry has a plot of land that is 3km by 4.3km, so his plot of land is rectangle shaped with length, l = 4.3km and breadth, b = 3km. To determine km of fencing supply needed, we have to calculate the perimeter of the plot.

P = 2×(l + b)

= 2×(4.3 + 3)

= 2×7.3

= 14.6 km

Joanna has a an equilateral triangle shaped plot of side a = 4.5m. An equilateral triangle has all sides equal. Fencing material required for fencing can be determined by calculating perimeter of the plot.

P = 3a

= 3×4.5

= 13.5m

So Joanna will require 13.5m of fencing material.

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The product of expression is 24a² - 18ab.

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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Answer:

you graph it on the LINE and find the slope

Answer:

4x^4 y^2 ∛x^2y^2

Step-by-step explanation:

\((8x^7y^4)^\frac{2}{3} \\\\8^\frac{2}{3}(x^7)^\frac{2}{3}(y^4)^\frac{2}{3}\)

\((2^3)^\frac{2}{3}x^7*^\frac{2}{3}y^4*^\frac{2}{3}\\4x^\frac{14}{3}y^\frac{8}{3}\)

Answer:

100 ≥ 35 + 5x

Answer:

The angle made by two secants intersecting outside a circle is half the difference between the intercepted arc measures. When two secants intersect outside a circle, there are three angle measures involved: The angle made where they intersect (angle APB above) The angle made by the intercepted arc CD.

Step-by-step explanation:

please mark this answer as brainliest

Step-by-step explanation:

-8(-5/8x + y = -1/4)

5x - 8y = 2 is the standard form

6) For the inverse to be a function, f(x) needs to be one to one. To accomplish this, restrict the domain to one side of the axis of symmetry

7) The y-intercept of the inverse is when x=0. This means we want to find when f(x)=0.

\(4(1/3)^x = 16 \\ \\ (1/3)^x= 4 \\ \\ x=\log_{1/3}(4) \approx -1.26\)

The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.

We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.

The combination is the number of ways of selecting things.

Probability is to quantify the possibilities.

Number of ways in which a reference book can be picked = ²C₁

Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17

Now, the total number of books left on the bookshelf is 16

The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16

Total probability =multiplication of both the possibilities

Total probability =(2/17)×(5/16) = 5/136

Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136

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Answer:

C. 5/156

Step-by-step explanation:

Edge 2023

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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Given: A computer program crashes at the end of each hour of use with probability p. Let H be the number of hours until the first crash. 1. Distribution of H:H is a geometric distribution. Probability that first crash will occur in n hours is given as: P(H = n) = p(1 − p)n−1 E[H] :

Expected value of H is given as:

E[H] = 1/pVar(H):

Variance of H is given as:

Var(H) = (1 − p)/p2 2. Chebyshev's Theorem: Let X be a random variable with

E[X] = µ and

Var(X) = σ2.

Then for any

k > 0,Pr[|X − µ| ≥ kσ] ≤ 1/k2.  

Substituting in the values,

Pr[|H − 1/p| ≥ px] ≤ 1/x2. Pr[|H − 1/p| > px] < 1/x2

Letting x = a/p gives,

Pr[H − 1/p > a] < (a−1)2/2 − p 3.

Upper bound of Pr[H>a/p] :We have from part (2),

Pr[H − 1/p > a] < (a−1)2/2 − p

⇒ Pr[H > a/p] < (a−1)2/2p−1/2

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The given statements are examples of logical propositions expressed using symbols and logical connectives.

The first statement is a conditional statement, where the condition is "if you wear that bowtie" and the consequence is "I won't go."

The second statement is a disjunction, where either Jerry is lying or there's a moose on the loose.

The third statement is a biconditional statement, where John being a bachelor is true if and only if he is a man and unmarried.

The fourth statement is a conditional statement with a conjunction in the consequent, where Chuck will cry regardless of whether the Chargers win, but if Chuck cries and there are no tissues available, then we will need to go to the store to get some.

In logic, propositions are represented using symbols such as p, q, r, etc., and logical connectives such as ∧ (conjunction), ∨ (disjunction), → (conditional), ↔ (biconditional), ¬ (negation), etc.

These symbols allow us to express complex propositions in a concise and unambiguous manner.

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Answer:

\(a = \frac{(b - c)}{c} \\ ac = (b - c) \\ ac + c = b \\ c(a + 1) = b \\ c = \frac{b}{(a + 1)} \)

hope this helps.

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

The solution of integral ∫8cos³(4x) dx is (2/3) sin(4x) + (1/9) sin(12x) + C

Using the power rule of integration and applying the chain rule, we can evaluate the integral as follows:
To solve this integral, we have to use the trigonometric identity:

cos³(x) = (1/4) (3cos(x) + cos(3x))

Rewriting the integral as:

∫ 8cos³(4x) dx = ∫ 8 [(1/4) (3cos(4x) + cos(12x))] dx

Now, integrating each term

∫ 8 [(1/4) (3cos(4x) + cos(12x))] dx

= (2/3) sin(4x) + (1/9) sin(12x) + C

Where C is the constant of the integration.

Therefore, the solution is:

∫ 8cos³(4x) dx = (2/3) sin(4x) + (1/9) sin(12x) + C

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Answer:

768 m^2

Step-by-step explanation:

Separate the shapes

We can first separate the triangular pyramid from the rectangular prism.

We can calculate them separately.

Calculate

The volume of the triangular pyramid is the base multiplied by the height divided by 3. The base of the pyramid has the same base as the prism so:

8 * 8 = 64

Then we need the height which is 6 so:

64 * 6/3 = 64 * 2 = 128 m^2

Then we calculate the volum of the prism; the formula for that side times side time side:

8 * 8 * 10 = 640 m^2

The total volume is them added up:

128 + 640 = 768 m^2