i need helpp quickly
A shopper bought the following items at the farmer’s market:
6 ears of corn for $1.80. What was the cost per ear?
12 apples for $2.88. What was the cost per apple?
5 tomatoes for $3.10. What was the cost per tomato?
How do you find out the problem?
What would happen if the decimal was put in the wrong place?

The expanded and simplified form of f(x) is 3ln(x) + 2ln(x − 2).

To expand and simplify the expression f(x) = ln(x^5 − 4x^4 + 4x^3), we'll start by factoring the expression inside the natural logarithm:

f(x) = ln(x^5 − 4x^4 + 4x^3)

    = ln(x^3(x^2 − 4x + 4))

Next, we'll simplify the expression inside the logarithm using the fact that x^2 − 4x + 4 is a perfect square trinomial: f(x) = ln(x^3(x − 2)^2)

Now, we can use the properties of logarithms to expand the expression further. The property we'll use is ln(a * b) = ln(a) + ln(b)

f(x) = ln(x^3) + ln((x − 2)^2)

Finally, applying the power rule of logarithms, which states that ln(a^b) = b * ln(a): f(x) = 3ln(x) + 2ln(x − 2)

So the expanded and simplified form of f(x) is 3ln(x) + 2ln(x − 2).

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Answer:

x = 112°

Step-by-step explanation:

The missing two internal angles of the triangle measure:

\(180-126=54^{0}\)

\(180-58-54=68^{o}\)

then:

\(x=180-68=112^{o}\)

Hope this helps

Answer:

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

Answer: 20

Work: A = 1/2 bh

A = 1/2 (5(8))

A = 1/2 (40)

a = 20

plz mark brainliest

Answer:

Step-by-step explanation:

\(A = \frac{1}{2} bh \)

when

b = 5

h = 8

Substitute the values of b and h into the above formula

That's

\(A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 \)

We have the final answer as

Hope this helps you

Answer:

193.2

Step-by-step explanation:

The way you would find the volume to a rectangular prism, is multiplying your length x width x height.

Answer:

its answer a :)

Step-by-step explanation:

875/23 = 38.04, round down to get 38

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

The area would be doubled also

The perimeter will be increased in a factor of 1.4

Step-by-step explanation:

Originally the area of new crate = L * B = 1.2 * 0.8 = 0.96 m^2

perimeter is 2(L+ B) = 2(1.2 + 0.8) = 4 m

Now let’s double the width , it becomes 0.8 * 2 = 1.6 m

Area would be 1.6 * 1.2 = 1.92 m^2 which is two times the previous area

The increased perimeter will be 2(1.6 + 1.2) = 5.6 m

This is an increase in factor of 1.4

Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

x=6

Step-by-step explanation:

3(6)-5=13

18-5=13

13=13

Answer:

6

Step-by-step explanation:

3x - 5 =13

3x =15 +3

3x =18

x=18 :3

x=6

Answer:

heyyy even though you are not talking to me

BAHBAHA

Step-by-step explanation:

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."

The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.

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To find the union of two sets, we combine all the elements in both sets, without duplicating any elements. (a) A ∪ B = {0, 1, 2, 3, 4, 5, 6} (b) A ∩ B = {3}  (c) A − B = {1, 2, 4, 5} (d) B − A = {0, 6} (e) C ∪ (B − A) = {0, 2, 3, 4, 6, 7}  (f) (C ∪ B) − A = {0, 6, 7}

To find the intersection of two sets, we find the elements that are common to both sets. A − B = {1, 2, 4, 5}

To find the set difference A − B, we remove all the elements in B from A.  B − A = {0, 6} To find the set difference B − A, we remove all the elements in A from B.  C ∪ (B − A) = {0, 2, 3, 4, 6, 7} First, we find the set difference B − A, which is {0, 6}.

Then, we find the union of C and {0, 6}, which is {0, 2, 4, 6, 7}. (C ∪ B) − A = {0, 6, 7} First, we find the union of C and B, which is {0, 2, 3, 4, 6, 7}. Then, we remove all the elements in A from this set to get the result.

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The expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is :

44.65%.

To calculate the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em, we need to consider the probability of getting a face card and the number of face cards in the deck.

Determine the number of face cards in a standard deck of 52 cards.
There are 4 suits (hearts, diamonds, clubs, spades) and 3 face cards in each suit (jack, queen, king). So, there are 4 x 3 = 12 face cards in total.

Calculate the probability of getting a face card in the first card.
The probability is the number of face cards divided by the total number of cards: 12 face cards / 52 total cards = 12/52 = 3/13 ≈ 0.23077.

Calculate the probability of getting a face card in the second card.
Since one card is already drawn, there are 51 cards left in the deck and 11 face cards left (assuming the first card was a face card). The probability is 11 face cards / 51 total cards ≈ 0.21569.

Calculate the expected value of getting a face card in a player's initial two-card hand.
Expected value (EV) = Probability of getting a face card in the first card + Probability of getting a face card in the second card
EV ≈ 0.23077 + 0.21569 ≈ 0.44646

So, the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is approximately 0.44646 or 44.65%.

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Answer:

Second and last

Step-by-step explanation:

The vertex form of a quadratic function is written as: a(x-h)^2+k where (h,k) are the coordinates of the vertex

The equation y =-(x-0.5)^2+9

Then the vertex of this graph is (0.5,9)

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

The equation -(x-0.5)+9 has a negative leading factor so the parabola will open down then it will have a maximum

The factor listed below that is a possible cause for unfavorable materials quantity variances is A. Using higher quality, but more costly materials than budgeted.

Unfavorable materials quantity variances occur when the actual amount of materials used exceeds the budgeted or standard quantity. Using higher quality materials that are more costly than what was initially budgeted can contribute to such unfavorable variances.

By opting for higher quality materials, the cost per unit may increase, leading to higher material costs compared to the budgeted amount. If the quantity of these higher quality materials used exceeds the expected or standard quantity, it can result in unfavorable materials quantity variances. These variances occur due to the increased costs associated with using more expensive materials and potentially higher scrap or waste rates.

It is important for organizations to monitor and control their material usage to minimize unfavorable variances and ensure efficient utilization of resources while meeting quality standards.

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Answer:

The answer is 7 socks.

Step-by-step explanation:

To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.

You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.

Answer:

19.1

Step-by-step explanation:

Answer:

8x9=72 (9)+9+9=27

Step-by-step explanation:

am I right?

Answer:

The missing number is 54

Step-by-step explanation:

72 = __ + 18

72 - 18 = x

54 = x

8 x 9 = 54 + 9 + 9

72 = 72

Answer:

Im pretty sure is B but it might be C.

Step-by-step explanation:

Sorry it might be a little hard to see.

Answer:

20km is in 12.5miles

Step-by-step explanation:

5miles= 8km

12.5miles=xkm

12.5÷5miles=2.5miles

2.5miles/km

2.5×8km=20km

According to the concept of difference, the amount of time spend on answering the phone call is 50 minutes.

Difference:

Difference means the result of one of the important mathematical operations, which is obtained by subtracting two numbers and it tells us by how much a number differs from the other.

Given,

On Saturday mornings, Eddie volunteers at the hospital where his mother works. One Saturday, he answers phone calls at the information desk while the receptionist is away. The he spends 40 minutes delivering flowers to patients' rooms. In all, Eddie volunteers at the hospital for 90 minutes that day.

Here we need to find the amount of time spend on answering the phone calls.

While we looking into the given question, we have identified the following things,

Total amount of time spend by Eddie = 90 minutes

Time spend in delivering flowers = 40 minutes

So, the time spend by answering the phone calls is calculated as the difference between the total time and the flower delivering time

=> 90 - 40

=> 50

Therefore, he spent 50 minutes on answering the phone calls.

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Answer:

5x-3

Step-by-step explanation:

(-6x+3)+(5x-3)

-6x+3+5x-3

-x

The value that should be added to the expression (-6x+3) is (5x-3) to get the value -x.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is (-6x+3). The value to be added to the expression to get the value of -x is calculated as,

E = (-6x+3)+(5x-3)

E = -6x+3+5x-3

E = -x

Therefore, the value that should be added to the expression (-6x+3) is (5x-3) to get the value -x.

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a) The probability of Democrats winning all 16 elections is 1/65,536.

b) The probability of exactly half of the elections being won by Democrats and the other half by Republicans is  12870/65,536 .

a. The probability of Democrats winning all 16 gubernatorial elections, we need to determine the probability of a Democrat winning each individual election and then multiply those probabilities together since the events are independent.

Since each candidate is equally likely to win in each state, the probability of a Democrat winning an individual election is 1/2 (0.5).

Therefore, the probability of Democrats winning all 16 elections

= (1/2)¹⁶

= 1/2¹⁶

= 1/65,536.

b. The probability of half of the elections being won by Democrats and the other half by Republicans, we can use the concept of combinations. There are a total of 16 elections, and we want exactly 8 of them to be won by Democrats.

The number of ways to choose 8 elections out of 16 is given by the combination formula

C(16, 8) = 16! / (8! × (16-8)!)

= 12870.

Since each candidate is equally likely to win in each state, the probability of a Democrat winning an individual election is 1/2 (0.5). Similarly, the probability of a Republican winning an individual election is also 1/2 (0.5).

Therefore, the probability of exactly half of the elections being won by Democrats and the other half by Republicans

= (1/2)⁸ × (1/2)⁸ × 12870

= 1/2¹⁶ × 12870

= 12870/65,536.

So, the probability is 12870/65,536 or approximately 0.1967.

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The sum of a and b is obtained as follows:

a + b = 5.

The function for this problem is defined as follows:

f(x) = ax/[bx - 4]

f(1) = -2 means that when x = 1, y = -2, hence:

-2 = a/(b - 4)

a = -2b + 8

f(2) = 2 means that when x = 2, y = 2, hence:

2 = 2a/(2b - 4)

2a = 4b - 8

a = 2b - 4.

Equaling the two equations, the value of b is obtained as follows:

-2b + 8 = 2b - 4

4b = 12

b = 3.

Hence the value of a is ob:

a = 2b - 4

a = 2(3) - 4

a = 2.

Hence the sum is of:

a + b = 2 + 3

a + b = 5.

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