Da los resultados de las siguientes multiplicaciones de expresiones algebraicas:
1) 2a^2 por 3a=
2) -5x^2 por 2xy=
3) 2m (4m - 3)=
4) (3xy - 2) por ( 5x^2 + 4)=
5) 2a^2 por 3a^3=
6) - xy^2 por -5mx^4y^3=
7) 3a^2b por -4b^2x
Porfa ame urge ​

Answer:

how i understand this is:

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by

100    

=125%?

(correct me if am wrong)

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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\(1\frac{1}{2}\) \(batches\)

➛➛➛➛➛

\(\frac{1/2}{1} =\frac{3/4}{x}\)

\(\frac{1}{2} =\frac{3}{4x}\)

\(cross~multiply\)

\(4x=2(3)\)

\(\frac{4x}{4} =\frac{6}{4}\)

\(x=\frac{3}{2} =1\frac{1}{2}\)

Answer:

Step-by-step explanation:

90% of the chess club!

✨Hope it helps✨

✨Brainliest?

The operation * in the expression  a*b = ab/4 + a + b is associative.

∗ is association if (a∗b)∗c = a∗(b∗c)

(a∗b)*c =  (ab/4*c)/4 = abc /16

​a∗(b*c) =  (a x (bc/4))/4 = abc /16

​Since (a∗b)∗c=a∗(b∗c)∀a,b,cϵQ

∗ is an associative binary operation.

Since addition is also associative.

So here a*b = ab/4 + a + b is also associative.

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Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

The principal value of Arccsc (1.607) to the nearest minute is 38°29'

To answer the question, we need to know what arccsc is

Arccsc is the inverse of the cosec of an angle.

Let x =  arccsc(1.607)

So, taking the inverse, we have

csc(x) = 1.607

Since csc(x) = 1/sinx, we have

1/sinx = 1.607

sinx = 1/1.607

sinx = 0.6223

Taking inverse, we have

x = arcsin(0.6223)

x = 38.483°

Since 60' = 1°, we have

x = 38 + 0.483° × 60'/1°

x = 38° + 28.98'

x = 38°28.98'

x ≅ 38°29'

So, the principal value of Arccsc (1.607) to the nearest minute is 38°29'

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Answer: $20.83

Step-by-step explanation:

7.50 = P (.12) (3)

7.50 = .36p

___

.36 ____

.36

20.83=p

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

1.75 gallons of paint

Step-by-step explanation:

A student in the construction trades program has 4 1/2 gallons of paint

If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows

= 4 1/2 - 2.75

= 9/2 - 2.75

= 4.5 - 2.75

= 1.75

Hence 1.75 gallons of paint are left

We have an expression:

It has 2 terms with two unknowns: r and s.

Their coefficients are 11 for r and 7 for s.

Answer:

11r+7s is the expression.

11r and 7s are the terms.

11 and 7 are the coefficients.

r and s are the variables or unknowns.

The Solution:

Given:

We are required to use the logarithm property to find an equivalent for the given expression.

By logarithm Property:

Therefore, the correct answer is:

The new coordinates of the image are

A' (1, -5)  

B' (5, -3)

C' (3, -1)

The coordinates of the preimage are

A (1, 3)

B (5, 1)

C (3, -1)

The absolute distance of the y coordinates to line y = -1 is obtained and added used to get the distance from -1 in any side of the reflection

Reflection over line y (x, y) → (x, -y) this considers only the y values

A (1, 3) from 3 to -1 is 4 units hence -1 - 4 = -5 = A' (1, -5)  

B (5, 1) from 1 to -1 is 2 units hence -1 - 2 = -3 = A' (5, -3)  

C (3, -1) from -1 to -1 is 0 units hence -1 - 0 = -1 = A' (3, -1)  

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The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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The infix expression given is (A-B)+C*(D/E)

Steps to draw the expression tree

The order of operations should be considered while drawing the expression tree.

The following steps are followed:

First, draw a node for the operator with the highest precedence,

which is multiplication (symbol *).Second,

draw nodes for the other operators, in the order of their precedence, which is division (symbol /), and addition (symbol +).

Third, draw the leaf nodes for the operands in the order that they appear in the infix expression.

A B CD E- /* + Steps to re-write in prefix form

The prefix form of the infix expression is obtained by traversing the expression tree in the pre-order fashion.

That is, the operator is written before its operands.

The prefix form of the infix expression (A-B)+C*(D/E) is obtained as follows:+ - A B * C / D E

Steps to re-write in postfix form

The postfix form of the infix expression is obtained by traversing the expression tree in the post-order fashion.

That is, the operator is written after its operands.

The postfix form of the infix expression (A-B)+C*(D/E) is obtained as follows: A B - C D E / * +

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Answer:

C

Step-by-step explanation:

Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.

We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.

We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.

The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.

So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.

If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k

dx + ∫7dx= (k²/2) + 7x+ C

where C is the constant of integration.

Since the value of C is not given, we cannot say anything about the exact value of the integral.

However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.

Therefore, we can use the Integral Test to determine the convergence or divergence of the series.

Using the Integral Test, the correct choice is B.

Since the integral ∫(k+7)dx diverges, the series also diverges.

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The graph of the solution to the system of inequalities is added as an attachment

Given that

x + y ≥ 6

8x + 16y ≤ 160

To graph the solution to a system of inequalities, follow these steps:

See attachment for the system of inequalities

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Given,the art teacher will supply each student with fourteen pounds of clay to create a sculpture.The art teacher needs a total of 784 pounds of clay to supply 56 students, with each student receiving fourteen pounds of clay.

To determine the total amount of clay needed, we multiply the amount of clay per student (14 pounds) by the number of students (56). By doing this calculation, we obtain:

14 pounds/clay per student x 56 students = 784 pounds of clay.

Therefore, the art teacher will require 784 pounds of clay to supply each of the 56 students with fourteen pounds of clay for their sculptures.

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En la expresión:

Sustituye la letra "a" por diferentes signos de operaciones para ver si el resultado coincide con alguna opción.

Comenzando por un signo "+":

El cual, no se encuentra entre las opciones.

Intentando ahora con el signo "-":

Dicho número sí se encuentra entre las opciones.

Por lo tanto, la expresión correcta es -8.5(9.4-6.1), y la respuesta es:

Answer:

A

Step-by-step explanation:

\(\frac{4}{5}\) x - \(\frac{3}{2}\) = \(\frac{1}{4}\)

multiply through by 20 ( the LCM of 5, 2, 4 ) to clear the fractions

16x - 30 = 5 ( add 30 to both sides )

16x = 35 ( divide both sides by 16 )

x = \(\frac{35}{16}\)

The value of c in the equation, 1/5c = 2 1/2 when divided is 12 1/2.

Fractions are numbers that are non integers. They are ususally made up of numerators and denominators. The numerator is the number above and the denominator is the number below.

In order to determine the value of c, divide 2 1/2 by 1/5

2 1/2 ÷ 1/5

Convert the mixed fraction to an improper fraction

5/2 x 5 = 25/2 = 12 1/2

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Answer:

24,024 different ways

Step-by-step explanation:

There are 9 boys and 13 girls competing for the medals. The number of ways to choose 3 boys out of 9 is C(9,3) = 84. The number of ways to choose 3 girls out of 13 is C(13,3) = 286. The total number of ways to choose 6 medals is the product of these two numbers: 84 * 286 = 24024.

Answer:

were is the pic I cant answer lik

The degree of the product of two fourth-degree polynomials is 8.

When two fourth-degree polynomials are multiplied together, the degree of the product will be 8.

Explanation:A polynomial is a mathematical expression that is made up of terms that are either added or subtracted together. A polynomial can have several terms. The polynomial's degree is the highest power of its variable. The degree of a polynomial is determined by looking at the term with the highest power.

For example, if a polynomial is:5x^2 + 3x + 7

then the degree of the polynomial is 2 (the highest power of x in the polynomial).

When two fourth-degree polynomials are multiplied together, their degrees are added.4 + 4 = 8

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Answer:

11

Step-by-step explanation:

if the average of 6 number is 6, then the sum of those 6 numbers = 6 x 6 = 36

Therefore, the 6th number is:  36 - 25 = 11

These are all numerical expressions when we move one fraction to the other side in case of multiplication it gets flipped and when we move a fraction to the other side that is not is multiplication its sign changes.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, - (5/9)m = 1 (11/12).

-(5/9)m = 23/12.

m = 23/12×-9/5.

m = - 207/60.

m = - 69/20.

Given, 28 = - (1/2)k.

28×(-2/1) = k.

k = - 56.

Given, 0.85 = a/-7.2

a = 0.85×-7.2

a = - 6.12

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