Translate The English phrase in to an algebraic expressionThree times the sum of x and 4

Answer:

h = -3/8

Step-by-step explanation:

-3/4 - h + 1/3h - 2 = -4/3h -3

combine like terms

-2 = -8/4

-3 = -12/4

-2/3h - 11/4 = -4/3h -12/4

2/3h - 11/4 = -12/4

2/3h = -1/4

8/12h = -3/12

8h = -3

h = -3/8

Answer:

(-2,4)

Explanation:

Given the inequality:

The solution set is graphed on the number line below:

Answer:

x=2.79411764706

42+27

Step-by-step explanation:

95/34

3*14 and 3*9

Answer:

53

Step-by-step explanation:

c=42+11

c=53

There must be 5 born for there to be at least a 50% chance that they are born under the same sign

Given that each zodiac sign occupies 1/12 of a year.

Then the minimum number of persons for Y[all different signs] < 0.5,

The probability of at least two having the same sign is 1 minus the probability of all having different signs.

This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5

Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38

This implies that the lowest number will be found to be 5

Hence, the correct answer is 5.

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Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

48,952.5 pesos

Step-by-step explanation:

Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.

En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;

la cantidad por kilogramo * número de kilogramos de patatas

= 18.30 * 2675 = 48,952.5 pesos

If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level is True

What is alphabetical index?

An alphabetical index, often known as an index, is a list of words or phrases that appear frequently in a text and which, if listed alphabetically, may assist readers in finding information more quickly.

What is indentation level ?

The much-despised formatting method of indentation gives readers a sense of continuity.

Reasons:

The Alphabetic Index's sub term entries and the Tabular List's inclusion and exclusion notes can both be used to find combination codes.

Only use the combination code when it accurately describes the diagnostic conditions in question or when the Alphabetic Index instructs you to. When the categorization offers a combination code that unambiguously identifies all of the components listed in the diagnosis, multiple coding shouldn't be employed. An additional code should be utilised as a secondary code when the combination code does not provide the requisite specificity in characterising the symptom or problem.

The statement is True

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Answer:

x = 5

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

11x + 35 = 90

11x = 55

x = 5

Answer:

5

Step-by-step explanation:

11×5= 55

but the easiest way is to just subtract 35 from 90 which gives you 55.

Answer:

The perimeter to the nearest integer is 9.

Answer:

6h + 1

Step-by-step explanation:

number of hours: h

pay per hour: 30

pay for the hours: 30h

add sales bonus: 30h + 5

1/5 of total above: (1/5)(30h + 5) = 6h + 1

Answer: 6h + 1

The study has investigated the relationship between the time spent studying and scientific achievements in biology students. The correlation between the number of hours studied and science achievement was analyzed the relationship was found to be r=0.4705.

The study investigated the correlation between the amount of time spent studying and science achievement in high school students who were studying Biology. The study was conducted by having students enrolled in Biology courses at the Anaheim Union High School District record the number of hours they spent studying for their final exam in Biology in the two weeks leading up to their final exam. The correlation between the number of hours studied and science achievement was analyzed, and the results of the analysis indicated a moderate positive correlation. Based on the r=0.4705, the study showed that there was a moderate positive correlation between the amount of time spent studying and science achievement among high school students taking biology. A correlation coefficient of 0.4705 indicates that as the amount of time spent studying for the final exam in Biology increased, science achievement also increased. The finding was statistically significant because the correlation coefficient value was greater than zero, which means that the relationship between the two variables was not due to chance.

The study has shown that there is a moderate positive correlation between the amount of time spent studying and science achievement among high school students taking Biology. As the number of hours spent studying for the final exam in Biology increases, science achievement also increases. The relationship between the two variables is not due to chance, as the correlation coefficient value is greater than zero. Therefore, it can be concluded that studying more hours for the biology exam leads to better performance in science among high school students taking Biology.

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The angle PAB is given as 40 degrees so we can use the sine rule to calculate the lengths of the chords is CQD = 17.7 degrees.

The sine rule states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal to the ratio of any other side to the sine of its opposite angle.

Let us denote the length of chord AB by x and the length of chord CD by y.

Therefore x/sin 40 = y/sin (180-40)

=> x/0.766 = y/0.939

=> x = 0.766*0.939 = 0.723

y = 0.939*0.766 = 0.723

Since AB=CD, x=y=0.723.

We can now use the cosine rule to calculate the angle CQD.

The cosine rule states that the square of the length of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides times the cosine of the included angle.

Therefore CQ^2 = 8^2 + 8^2 - 2(8^2)cosCQD

=> CQ^2 = 64 - 64cosCQD

=> 64 - 64cosCQD = 0.723^2

=> 64 - 64cosCQD = 0.521

=> 64cosCQD = 63.479

=> cosCQD = 63.479/64

=> cosCQD = 0.988

Therefore CQD = cos^-1(0.988)

=> CQD = 17.7 degrees.

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The probability of the new engine design being approved given that it is low-energy is 0.2, or 20%.

To find the probability of the new engine design being approved, we need to use the concept of conditional probability.

We can use Bayes' Theorem to calculate this conditional probability:

P(A|H) = P(H|A) x P(A) / P(H)

where P(A|H) is the probability of the engine being approved given that it is high-energy, P(H|A) is the probability of the engine being high-energy given that it is approved, P(A) is the overall probability of the engine being approved (irrespective of energy consumption), and P(H) is the overall probability of the engine being high-energy.

Using the values given in the problem, we can substitute in these probabilities:

P(H|A) = 0.1 (given)

P(A) = P(H)P(A|H) + P(L)P(A|L) = 0.50.1 + 0.50.2 = 0.15

P(H) = 0.5 (given)

Therefore, we can calculate:

P(A|H) = 0.1 x 0.5 / 0.15 = 1/3 = 0.333

This means that the probability of the new engine design being approved given that it is high-energy is 0.333, or approximately one-third. Similarly, we can find the probability of the engine being approved given that it is low-energy:

P(A|L) = P(L|A) x P(A) / P(L)

P(L|A) = 1 - P(H|A) = 0.9 (given)

P(L) = 0.5 (given)

P(A|L) = 0.2 * 0.5 / 0.5 = 0.2

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The area of the irregular polygon is equal to 30.5 square units.

In this problem we find the representation of an irregular pentagon, that is, a polygon of five sides of different length. Whose area can be found by adding the areas of rectangles and triangles:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

Now we proceed to determine the area of the irregular polygon:

A = 0.5 · 1 · 4 + 0.5 · 3 · 2 + 2 · 4 + 0.5 · 3 · 2 + 3 · 4 + 0.5 · 5 · 1

A = 2 + 3 + 8 + 3 + 12 + 2.5

A = 30.5

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The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

After answering the given query, we can state that The equation to calculate the overall distance covered is: distance = 3.50 t where t is the duration of Kenny's stroll.

A mathematical equation links two statements and employs the equals sign (=) to indicate equality. In mathematics, an equation is a mathematical assertion that proves the equality of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal symbol separates the numbers by a gap. A mathematical algorithm can be used to determine how the two lines on either side of a letter relate to one another. The emblem and the particular piece of software are frequently identical. like, for instance, 2x - 4 = 2.

The algorithm is as follows:

Distance is determined by pace and duration.

where rate is Kenny's strolling pace and time is the length of time he is moving.

distance equals 3.5 kilometers per hour multiplied by six hours.

21 kilometers is the journey.

Kenny can thus complete 21 kilometers of running in 6 hours.

The formula to calculate the overall distance covered is:

distance = 3.50 t

where t is the duration of Kenny's stroll.

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Answer:

3 5,7,9,11,13,16,17 19,21,23,25,27,29

Answer: Approximately 3.15%

Explanation:

The true finishing time is 22.2 seconds. The prediction furthest from this is 22.9 seconds. This is a difference of 22.9-22.2 = 0.7 seconds. Divide this over the true time value to get (0.7)/(22.2) = 0.03153 which is approximate.

Move the decimal point to the right 2 spots to get to 3.153%; round this value however you need to.

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is 47.48%. b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is or 42.07%.

To calculate the probabilities in this scenario, we will use the properties of the normal distribution and the central limit theorem. The central limit theorem states that for a large sample size, the distribution of the sample mean approaches a normal distribution, even if the underlying population distribution is not normal. In both cases, we can use the z-score formula to find the probabilities.

a. For a sample of 10 people:

The mean of the sample mean is equal to the population mean, which is 85. The standard deviation of the sample mean (also known as the standard error) is given by the population standard deviation divided by the square root of the sample size: 25/sqrt(10) ≈ 7.9057.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 7.9057 ≈ -0.0634

Using a standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.0634 is approximately 0.4748, or 47.48%.

b. For a sample of 100 people:

Similarly, the mean of the sample mean is still 85, but the standard deviation of the sample mean (standard error) is now 25/sqrt(100) = 2.5.

To find the probability that the sample mean is less than 84.5, we calculate the z-score:

z = (84.5 - 85) / 2.5 = -0.2

Using the standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.2 is approximately 0.4207, or 42.07%.

Therefore:

a. The probability that a sample of 10 people has a mean glucose level less than 84.5 is approximately 0.4748, or 47.48%.

b. The probability that a sample of 100 people has a mean glucose level less than 84.5 is approximately 0.4207, or 42.07%.

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Answer:

100 years

Step-by-step explanation:

Simple interest means 4% on the 20$ only and forever.

100-20=80 dollars.

4% of 20 is 0.80

80/0.80 = 100

It will take 100 years

Answer:

It takes 41 years for $20 to grow to $99.86 and if you rounded that up, it would be $100 or if you want it to surpass $100 it would take 42 years turning $20 to $103.85

(Edit: I'm wrong go with the guy on top)

Answer: Two sets are disjoint if they have no elements in common.

(i) The first set is {1, 2, 3, 4} and the second set is {x : x is a natural number and 4 ≤ x ≤ 6}. The second set contains the numbers 4, 5, and 6. The first set contains the number 4. Therefore, the two sets have one element in common, which means they are not disjoint.

(ii) The first set is {a, e, i, o, u} and the second set is {c, d, e, f}. The two sets have the letter "e" in common, but no other elements in common. Therefore, they are not disjoint.

(iii) The first set is {x : x is an even integer} and the second set is {x : x is an odd integer}. Even and odd integers have different parity, so they have no elements in common. Therefore, these two sets are disjoint.

In summary, the only pair of sets that are disjoint is the set of even integers and the set of odd integers.

Step-by-step explanation:

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

1) c. 10 1/2 + 1/2 m > 14

2)

\(x\leq 3\)

hope this helped

Answer:

how to do this

Step-by-step explanation:

i need it

a. Income tax is the amount of money that an individual is required to pay to the government based on their income.

b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.

c.   Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.

a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income.  found  using a specific tax rate applied to different income brackets.

b.

Monthly income = Salary + Dearness allowance

= Rs 43,689 + Rs 2,000

= Rs 45,689

Total income for 13 months = Monthly income * 13

= Rs 45,689 * 13

= Rs 593,857

c.

Total income after deducting citizens' investment fund = Total income - Investment amount

= Rs 593,857 - Rs 2000

= Rs 591,857

Hence, the income tax based on the revised total income is:

Tax for income upto 5 lakh which is 1% of the income

= 0.01 * 500000

= Rs 5,000

Tax for income from 5-7 lakh which is the 10% of the income

= 0.1 * 200000

= Rs 20,000

The Tax for income from 7-10 lakh: 20% of the income

= 0.2 * 300000

= Rs 60,000

The Tax for income from 10-20 lakh is 30% of the income

= 0.3 * 0

= Rs 0

The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0

= Rs 85,000

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The equation of a parabola with vertex (h,k) is given by:

Starting from the given equation, complete the square to write the function in vertex form:

By comparing that equation with the vertex form of a parabola, we can see that h=1 and k=2.

Therefore, the vertex of the given quadratic polynomial, is:

Answer:

I think its -128x + 6

Step-by-step explanation:

Answer:

Mean-4

Median-3

Mode-5, 2

Range-7

Step-by-step explanation: