Which equations are true equations? Select all correct answers. Responses 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3 15052=30−42−12

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Yes, it is a function, because no x value is repeated.

set x to set y to be a function if each member of set x pairs is exactly one member of set y

set x: 10, -10, 2, 3

set y: 3, -3, -2, -10

so the relation is a function

The given statement, "The matrix a and its transpose, ar, have different sets of eigenvalues" is False.

The proof for this is that if λ is an eigenvalue of A with corresponding eigenvector x, then we have Ax = λx.

Taking the transpose of both sides, we get x^T A^T = λx^T. Since x^T is a row vector and A^T is a square matrix, we can see that λ is also an eigenvalue of A^T with the corresponding eigenvector x^T. Therefore, A and A^T have the same set of eigenvalues.

This characteristic is significant in many linear algebra applications because it allows us to simplify eigenvalue computations by dealing with the transpose of a matrix, which can be easier to manage in some circumstances. It also offers a valuable link between a matrix's eigenvalues and those of its transpose, which may be used in certain arguments and methods.

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Answer:

1/4

Step-by-step explanation:

According to the question we can get

26/52 × 26/52

= 1/2 ×1/2

= 1/4

The argument is valid. If a number is not prime, it does not imply that the number is odd.

The given argument is invalid. The argument's structure follows the form of denying the consequent (modus tollens). However, the argument itself contains a logical flaw. While it is true that all prime numbers greater than 2 are odd, it does not follow that a number being not prime implies it is not odd.

The argument assumes that the negation of being prime automatically leads to not being odd, which is not necessarily true. There exist non-prime numbers that are odd, such as 9, 15, and 21. Therefore, the fact that a number is not prime does not guarantee that it is not odd.

To establish the conclusion that a number is not odd based on it not being prime, additional information or reasoning is needed. Hence, the argument is invalid.

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Answer: r=-3

Step-by-step explanation:

12-6r=2r+36

12=8r+36

-24=8r

r=-3

please give me the brainliest.

Answer:

help you with what?

Step-by-step explanation:

The first 4 terms of the sequence represented by the expression 3n + 5

is 8, 11, 14 and 17.

Sequence:

In mathematics, an array is an enumerated collection of objects in which repetition is allowed and in case order. Like a collection, it contains members (also called elements or items). The number of elements (possibly infinite) is called the length of the array. Unlike sets, the same element can appear multiple times at different positions in the sequence, and unlike sets, order matters. Formally, a sequence can be defined in terms of the natural numbers (positions of elements in the sequence) and the elements at each position. The concept of series can be generalized as a family of indices, defined in terms of any set of indices.

According to the Question:

Given, aₙ = (3n+5).

First four terms can be obtained by putting n=1,2,3,4

a 1=(3×1+5) = 8

a 2 =(3×2+5) = 11

a 3 =(3×3+5) = 14

a 4 =(3×4+5) = 17

First 4 terms in the sequence are 8, 11, 14, 17.

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Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Brand B is the better buy because it offers the most ounces for the lowest price.

To compare the prices of the three brands, we need to convert them to a common unit of measurement. Brand A is priced at $4.89 for 54 ounces, Brand B is priced at $3.91 for 16 ounces, and Brand C is priced at $3.10 for 910 grams. Since 16 ounces is equivalent to 1 pound and 1 pound is equivalent to 453.59 grams, we can convert the weight of Brand B and C to ounces. 910 grams is equivalent to 2.01 pounds, which is equivalent to 32.16 ounces.

A.

54oz, convert to lb

54/16=3.375lb

find per lb

4.89/3.375=$1.4488888 per lb

B.

2 and 3/4=2.75, 3.91/2.75=$1.42181 per lb

C. 910/453.59=2.00621lb

3.10/2.00621=$1.545 per lb

compare

A: $1.4488888 per lb

B: $1.42181 per lb

C: $1.545 per lb

It is observed from the above calculation that Brand B have lowest price per unit on ounce.

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The value of \(x\) in the second triangle is approximately \(4.667\).

Let us label triangle 1 as \(ABC\) and triangle 2 as \(CDE\).

In Triangle \(ABC\), we have \(AB = and \ BC = 8\).

In Triangle \(CDE\), we have \(CD = x \ and \ DE = 7\).

Since Triangle \(ABC\) and Triangle \(CDE\) are similar, we can set up the proportion based on the side lengths:

\(\(\frac{AB}{DE} = \frac{BC}{CD}\)\)

Substituting the given values:

\(\(\frac{12}{7} = \frac{8}{x}\)\)

To solve for x, we can cross-multiply:

\(\(12 \cdot x = 7 \cdot 8\)\)

\(\(12x = 56\)\)

Finally, divide both sides by \(12\) to solve for x:

\(\(x = \frac{56}{12}\)\)

Simplifying the fraction:

\(\(x = \frac{14}{3}\)\)

Therefore, the value of \(x\) is approximately \(4.667\).

Certainly! The given problem involves two similar triangles, \(ABC\) and \(CDE\), with corresponding sides and angles. We are given the lengths of \(AB, BC, \ and \ DE\) as \(12, 8, and\ 7\) respectively, and we need to find the length of CD, denoted as x.

By applying the similarity property of triangles, we can set up the proportion \(\frac{AB}{DE} = \frac{BC}{CD}\). Substituting the given values, we have \(\frac{12}{7} =\frac{8}{x}\). Hence, the length of CD is approximately \(4.667\)units.

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if d increases c will decrease AND  if c increases d will decrease.

If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios. For illustration, the ratio may be expressed as follows: 1: 3 (If there are 1 boy and 3 girls, then there are 3 girls for every 1 boy.)

since c and d are inversely proportional

a) if d increases c will decrease

because it is the property of the ratio and proportion

and same will be applied in b

b) if c increases d will decrease

that is obvious....

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Answer:

domain: x ≥ 7

range: f(x) ≥ 9

Step-by-step explanation:

Answer:

domain: x ≥ 7

range: f(x) ≥ 9

Step-by-step explanation:

edg 2021

If the diameter of a cone is 19 yd and the height is 13 yd, the volume of this cone is equal to 1,228 cubic yard.

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

Radius = diameter/2 = 19/2 = 9.5 cm.

Substituting the given parameters into the volume of a cone formula, we have the following;

V = 1/3 × πr²h

V = 1/3 × 3.14 × 9.5² × 13

Volume, V = 1,228 cubic yard.

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a. The length of the adjacent side to the given angle is 13.40.

b. The length of the hypotenuse is 51.78.

c. The other acute angle is 15°.

Given that,

In the picture we can see the triangle which is right angle triangle with one side as 50 cm and one acute angle as 75°.

a. We have to find the length of the adjacent side to the given angle.

By using trigonometric ratio,

tan75° = \(\frac{opp}{adj}\)

tan75° = \(\frac{50}{adj}\)

3.7321 = \(\frac{50}{adj}\)

Adjacent side = 13.40

Therefore, The length of the adjacent side to the given angle is 13.40.

b. We have to find the length of the hypothenuse.

sin75° = \(\frac{50}{h}\)

0.9659 = \(\frac{50}{h}\)

h = \(\frac{50}{0.9659}\)

h = 51.78

Therefore, the length of the hypotenuse is 51.78.

c. We have to find the measure of the other acute angle

By adding of the angles in the triangle is 180°

The measure of the other acute angle = 180° - (90+75) °

= 180°- 165°

= 15°

Therefore, The other acute angle is 15°.

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The complete question is :

The triangle which is right angle triangle with one side as 50 cm and one acute angle as 75°.

a. Find the length of the adjacent side.

b. Find the hypothenuse.

c. Find the other acute angle

#1

6pints=6(2)=12cups

1-D

#2.

16pints=

#3

8fluid ounces=1gallon.

3(C)

Answer: #1

1pint=2cups

6pints=6(2)=12cups

1-D

#2.

16pints=

16(2)=32cups=8quarts

#3

8fluid ounces=1gallon.

3(C)

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

Answer:

The second choice is correct.

Step-by-step explanation:

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

The second choice that is B≥ C is correct.

The basics of this question requires us to read the number line perfectly

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

Thus option 2) is correct

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it is not proportional because the line does not go straight from the origin. The origin is 0 and 0 in the bottom corner

To estimate the difference between proportions, sample around 3355 stalks from each section of the field.

In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.

To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.

Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.

To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.

Using this conservative estimate, we can apply the formula for sample size determination:

n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)

where:

Plugging in the values, we get:

n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)

n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004

n = (1.645 * sqrt\((0.5))^2\) / 0.0004

n =\((1.645 * 0.707)^2\) / 0.0004

n =\(1.158^2\) / 0.0004

n = 1.342 / 0.0004

n ≈ 3355

Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.

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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.

In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.

To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.

To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.

The formula to estimate the sample size is given by:

n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2

Where:

n is the required sample size per section

Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)

p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)

d is the desired precision (0.02)

Plugging in the values, we can calculate the sample size needed for each section.

n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2

n ≈ 664.86

Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.

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Answer:

To find the slope of a line, we need to know the slope formula. The slope formula is:

m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:

=

==

=-1.5

That means the slope of our line is -1.5

Step-by-step explanation:

Answer:

2.25 feet, 45 inches, and 6 yards

Step-by-step explanation:

first, convert all to the same unit of measurement

I will use inches

45 inches = 45 inches

6 yards, 1 yard = 3 feet so 6 yards are equal to 18 feet and 1 foot is equal to 12 inches so 12*18 is 216 inches so 6 yards = 216 inches

Next 1 foot equals 12 inches so 2.25 * 12 = 27 so 2.25 feet = 27 inches.

Now let's look at the complete conversion

45 inches

6 yards = 216 inches

2.25 feet = 27 inches

looking at the inches we can see that 27 is the least then 45 then 216 therefore

2.25 feet < 45 inches <  6 yards so the order is

2.25 feet, 45 inches, and 6 yards

Answer:

The blank is 3

Step-by-step explanation:

1 - Give the blank a variable

x = our blank

2 - Write it out

\(\frac{5}{7} + \frac{x}{6} = \frac{51}{42}\)

3 - Get the denominators equal

\(\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}\)

4 - Simplify

\(\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}\)

5 - Solve for the numerators

30+7x = 51

-30         -30

      7x = 21

        x = 3

Answer: it’s 3

Step-by-step explanation: Sorry if im wrong lol

      From: me?

I'm pretty sure it would be $30

Answer:

I believe the answer is, you need to give your uncle 30 dollars.

Step-by-step explanation:

The Toyota Production System (TPS) is a manufacturing philosophy that aims to minimize waste and maximize efficiency.

It is based on two main principles: Just-in-Time (JIT) production and Jidoka. JIT production involves producing goods only when they are needed, thereby reducing inventory costs and waste. Jidoka, on the other hand, is the concept of building in quality at every step of the production process, rather than inspecting for defects at the end. This helps to prevent defects from occurring in the first place and reduces the need for costly rework.

TPS is important because it allows Toyota to produce high-quality goods at a lower cost than its competitors. By minimizing waste and maximizing efficiency, TPS helps Toyota to keep its production costs down, which in turn allows it to offer its products at a lower price than its competitors. This gives Toyota a competitive advantage in the marketplace and helps it to maintain its position as one of the world's leading automakers. TPS is also important because it is a model for other companies to follow. Many companies have adopted the principles of TPS and have seen similar benefits in terms of reduced costs and increased efficiency.

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Answer:

25x^10

Step-by-step explanation:

Answer: 25x^10

Step-by-step explanation:

The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:numbers that are equal to 4/8 would be 2/4 and 1/2 and are you multiplying up?

Step-by-step explanation: