A. 2x-1+3x=0 B. 5x-1=0 How can we get Equation B from Equation A ?

When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is   ∛m¹⁰n⁻⁵

From the question, the expression is given as

(m2/3n-1/3)^5

Rewrite the expression properly

So, we have the following representation

(m²/³ n⁻¹/³)⁵

Express the radicals as roots

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵

Remove the brackets in the expression

This is done by multiplying the exponents

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)

Combine the roots

(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵

Hence, the equivalent expression is  ∛m¹⁰n⁻⁵

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The required simplified expression is given as ∛[m¹⁰/n⁵].

Given that,
For an expression (m²/³n-¹/³)⁵ we have to deduce the function that the solution only consists of the positive integer exponents.

Here,
Rewriting the given expression,
= (m²/³n-¹/³)⁵
Simplifying the expression,
using the property, (xᵃ)ᵇ = xᵃᵇ
= m¹⁰/³n⁻⁵/³
= [m¹⁰n⁻⁵]¹/³
we imply cube root for the exponent 1/3.
= ∛[m¹⁰n⁻⁵]
= ∛[m¹⁰/n⁵]   (using the property x⁻¹ = 1 / x )

Thus, the required simplified expression is given as ∛[m¹⁰/n⁵].

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Given:

Price of chair = $320

Price of lamp = $55

Total cost of furniture Greg purchased is = $320 + $55 = $375

Since the store charges a 7% sales tax, it means the amount Greg paid in tax is

7% of Total cost of furniture purchased.

Thus, the amount Greg paid in tax is:

The amount Greg paid in tax

Answer:

There was a 48% increase from last year.

Step-by-step explanation:

Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.

= (37 - 25) / 25

= -12 / 25

= 0.48 or 48%

There was a 48% increase from last year.

check:

25 * 1.48 = 37

Answer: b=13

Step-by-step explanation:

b=39/3

b=13

Answer:  its 13  

Step-by-step explanation

The measure of the angle is calculated using the attached figure.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius. The arc is centered at the vertex in the case of a geometric angle.

From figure,

angle x = 180° - 110° = 70° (linear pair)

angle y = 37° (alternate interior angles)

Measure of angle 1 = 70° + 37° (exterior angle in a triangle is equal to the sum of opposite interior angles)

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1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

2) The same does not happen to 0.1

Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.

3) So the answer is

Answer:

tbh times them all by 15 and u should get the answers

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

The maximum number of chairs that can be made will be the minimum of the number of parts divided by the number of parts required for each chair, as calculated across the various types of parts required.

seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

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If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:

Then,

By law: Power of power rule

Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

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The correct question is given below:
Apply the laws of exponents to evaluate the expression.

(0.5)∧(0.5)∧4 + (0.5)²

The figures after each reflection are given at the end of the answer.

The rule for the reflection over the x-axis is:

(x,y) -> (x, -y)

Hence the signal of the y-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(0,-2), B'(1,3) and C(2,-4)

The rule for the reflection over the x-axis is:

(x,y) -> (-x, y)

Hence the signal of the x-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(2,-4), B'(-6,2) and C'(-3,-5)

The rule for the reflection over the line y = -2 is:

(x,y) -> (x, y +/- constant)

The constants for each point are given as follows:

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Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

Here Ya Go! :D

Hope this helps! If so, please lmk. Thanks and good luck!

Answer:

76 child tickets were sold

Step-by-step explanation:

let a represent number of adults and c number of child tickets sold, then

a + c = 165 → (1)

5.8a + 8.9c = 1192.6 → (2)

multiplying (1) by - 5.8 and adding to (2) will eliminate a

- 5.8a - 5.8c = - 957 → (3)

add (2) and (3) term by term to eliminate a

0 + 3.1c = 235.6

3.1c = 235.6 ( divide both sides by 3.1 )

c = 76

that is 76 child tickets were sold that day

By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").

You can identify that the triangle STU is a Right triangle, because:

The following is one of the Trigonometric ratios. It's called "Secant":

In this case you can identify that:

Then, substituting values, you get that the answer is:

Answer:

Step-by-step explanation:



Answer:

No questions are shown.  See attached graph for more details.

Step-by-step explanation:

See attachment

Answer:

y = 3x + 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 8, - 4 ) into the partial equation

- 4 = - 24 + c ⇒ c = - 4 + 24 = 20

y = 3x + 20 ← equation of parallel line

Answer:

Step-by-step explanation: From the given point,

The line is: -8x-4y=0

           viz, 2x+y=0

The most appropriate choice for perimeter of a shape will be given by-

UT = 19 ft

ST = 19 ft

RS = 19 ft

UR = 19 ft

What is perimeter of a shape?

Perimeter of a shape is the length of the boundary of the shape.

It is obtained by taking the sum of all the length of the boundary.

Here,

UT = (25 - x) ft

ST = (3x + 1) ft

RS = (13 + x) ft

UR = (4x - 5) ft

Perimeter = UT + ST + RS + UR

                = (25 - x + 3x + 1  + 13 + x +4x -5) ft

                = (7x + 34) ft

By the problem,

[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]

UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft

ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft

RS = [tex]13 + 6 = 19[/tex] ft

UR = [tex]4\times 6 - 5[/tex] = 19 ft

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The inequality representing d, the total number of days is 76.5d + 24 ≤ 330

From the question, the given parameters are:

Charges per day = $76.50

Charges per mile = $0.06

This means that the equation that represents the total charges for d days is

Total = Charges per day x Number of days + Charges per mile x Number of miles

So, we have

Total = 76.5 x d + 0.06 x m

Where m represents the number of miles

From the question, we have

This means that

m = 400 and Total ≤ 330

So, we have

76.5 x d + 0.06 x 400 ≤ 330

Solve

76.5 x d + 24 ≤ 330

This gives

76.5d + 24 ≤ 330

Hence, the inequality that represents the scenario is 76.5d + 24 ≤ 330

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The categories of the functions are:

The category of the functions are given as

As a general rule, linear functions can take any of the following forms

Where the variables a, A, m, b, B, c and C are real numbers

Any equation that do not have the above form is considered a nonlinear function

Using the above forms as a guide, we have the linear equations to be

(16) y = 7 - x  (17) y = ∛8 - x (19) 2 + y = x + 4 (21) x -y = |-54|

All other equations are nonlinear equations

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Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

Solution

We will draw a diagram to illustrate the information

Using the concept of SOHCAHTOA

We are given adjacent and we want to find opposite

Therefore, the answer is

Based on the described sampling approach, it should be concluded that the responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. (Option D).

Voluntary response sample refers to a response sample in which the researcher puts out a request for population members to join the sample, and the decision of whether or not to be in the sample resides with the people. As it is a sample comprising of voluntarily participants, people who chose to participate usually do so as they have a strong opinion on the subject of the survey. Typically, voluntary response samples oversample members with strong opinions and under sample members with little to no opinion on the subject of the survey. Hence, inferences from a voluntary response sample are not as reliable as conclusions based on a random sample of the entire population under consideration.

Note: Question is incomplete. The options were missing which are a. Since all of the students had an opportunity to respond, this is evidence that a majority of all the students supports major changes. b. The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse. c. If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection. d. The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. e. The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable

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slope = -1/2

y-intercept = (0, -1)

Given:

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

We need to rewrite the given equation in the form above so as to get the slope

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

By using proportions, it is discovered that each favor costs $5.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

A proportion is an equation that sets two ratios at the same value.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

The threes rule states:

$40 for 8 favors

$1 for 1 favor

Cross-multiplication application

8x=40

x= 40/8

x = 5

There is a $5 fee for each favor.

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5