-11y = 6(2+1) - 13y
4y - 24 = c(z – 1)
For what value of c does the above system of linear equations in the variables y and z have
infinitely many solutions?

Answer:

23rd term

Step-by-step explanation:

Plz mark as Brainliest!

Answer:  See the image below.

For given functions, "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer i.e. A.

What is the definition of a function?

In mathematics, a function is a relation between two sets of elements, called the domain and the range, such that each element in the domain corresponds to exactly one element in the range.

More specifically, a function is a rule that assigns each element of the domain (input) to a unique element in the range (output). The notation for a function f with domain D and range R is typically written as:

f: D → R

f is a function mapping elements from the domain D to elements in the range R.

Now,

To find the y-intercept of a function, we set x = 0 and evaluate the function.

For \(f(x) = -4(1.09)^x\), when x = 0, we get:

\(f(0) = - 4(1.09)^0 = - 4\)

So, the y-intercept of f(x) is -4.

For g(x), we are given a table of values, and we can see that when x = 0, g(x) = -4. Therefore, the y-intercept of g(x) is also -4.

Hence,

          The first option "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer.

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Answer:

\(\displaystyle \int\limits^{\frac{2 \pi}{3}}_{\frac{- \pi}{3}} {\frac{sinx}{1 + cosx}} \, dx = ln3\)

General Formulas and Concepts:

Pre-Calculus

Calculus

Derivatives

Derivative Notation

Trig Derivatives

Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                        \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Integration Property [Multiplied Constant]:                                                             \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Trig Integration

Logarithmic Integration

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^{\frac{2 \pi}{3}}_{\frac{- \pi}{3}} {\frac{sinx}{1 + cosx}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

a) The total number of combinations is given by 50 * 49 * 48 = 117,600.

b) The total number of combinations with no duplicate numbers is given by 50 * 49 * 48 = 117,600.

c) The number of positive integers less than 5000 that are divisible by neither 13 nor 23 is given by 5000 - 384 - 217 + 16 = 4415. The number of positive integers less than 5000 that are divisible by 19 or 37 is given by 263 + 135 - 7 = 391.

(a) To find the number of different combinations possible for a combination lock with three numbers in the range of 1-50, we use the concept of combinations without repetition. Each number in the combination can range from 1 to 50, so for the first number, there are 50 options. Similarly, for the second number, there are 49 options (excluding the first number already chosen), and for the third number, there are 48 options. Therefore, the total number of combinations is given by 50 * 49 * 48 = 117,600.

(b) If no duplicate numbers are allowed in the combination, the number of possibilities changes. For the first number, there are still 50 options. However, for the second number, there are only 49 options left (excluding the first number already chosen), and for the third number, there are 48 options left. Therefore, the total number of combinations with no duplicate numbers is given by 50 * 49 * 48 = 117,600, which is the same as the previous case.

(c) To find the number of positive integers less than 5000 that are divisible by 19 or 37, we need to find the number of positive integers divisible by 19, the number of positive integers divisible by 37, and subtract the number of positive integers divisible by both 19 and 37.

Dividing 5000 by 19, we find that there are 263 positive integers less than 5000 that are divisible by 19. Dividing 5000 by 37, we find that there are 135 positive integers less than 5000 that are divisible by 37.

To find the number of positive integers divisible by both 19 and 37, we need to find the least common multiple (LCM) of 19 and 37, which is 703. Dividing 5000 by 703, we find that there are 7 positive integers less than 5000 that are divisible by both 19 and 37.

Therefore, the number of positive integers less than 5000 that are divisible by 19 or 37 is given by 263 + 135 - 7 = 391.

(d) To find the number of positive integers less than 5000 that are divisible by neither 13 nor 23, we need to subtract the number of positive integers divisible by 13, the number of positive integers divisible by 23, and add the number of positive integers divisible by both 13 and 23.

Dividing 5000 by 13, we find that there are 384 positive integers less than 5000 that are divisible by 13. Dividing 5000 by 23, we find that there are 217 positive integers less than 5000 that are divisible by 23.

To find the number of positive integers divisible by both 13 and 23, we need to find the least common multiple (LCM) of 13 and 23, which is 299. Dividing 5000 by 299, we find that there are 16 positive integers less than 5000 that are divisible by both 13 and 23.

Therefore, the number of positive integers less than 5000 that are divisible by neither 13 nor 23 is given by 5000 - 384 - 217 + 16 = 4415.

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Answer:

x≥-2

Step-by-step explanation:

dark circle means equality and all numbers are greater than -2

it can also be written as

[-2,∞)

Answer:

the answer is 30

Step-by-step explanation:

hight x base²

Answer:

AS =282.7cm²

Step-by-step explanation:

SA = 3.14×r×L +3.14×r²

L²=5²+12²

L=13)

= 3.14×5×13 + 13.4x5²

AS=282.7cm²

x + 2y = 3x + 4

2y = 3x + 4 - x

y = (2x + 4)/2

y = x + 2

Answer: y=x+2

Step-by-step explanation:

you subtract x on the left on both sides then you'll have 2y=2x+4 we have to get y by itself so divide it by 2 on both side and when you do that on the right you divide both 2x and 4 by 2 thus giving y=x+2

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

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Answer:

Step-by-step explanation:

The word "sine" (Latin "sinus") comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

Answer:

\(x = 10 \: and \: y \: = 70.\)

Step-by-step explanation:

\(if \: from \: the \: sine - cosine \: rule : \\ \sin( \beta ) = \cos(90 - \beta ) \\ \cos( \beta ) = \sin(90 - \beta ) \\ then \: if : \\ sin(x+20)°=cos(y−10)° \\ let \: x + y = 80 \\ if \: x = 10. \\ y = 70. \\ \)

This macroeconomic model illustrates how changes in different factors (consumption, investment, government spending, exports, and imports) and their relationships with income can impact the equilibrium level of national income.

Based on the given equations, Y represents the equilibrium level of national income, which is determined by the levels of consumption (C), investment (I), government spending (G), exports (X), and imports (M).

The consumption equation, C, is dependent on disposable income (Y-T), where a represents the marginal propensity to consume (MPC) and b represents autonomous consumption. This means that as disposable income increases, consumption will increase, but at a decreasing rate due to the MPC. Autonomous consumption, on the other hand, is independent of income and reflects the amount of consumption that would still occur even if income were zero.

The tax equation, T, shows that taxes are a function of income (Y), where t represents the tax rate. As income increases, taxes will also increase proportionally.

Overall, this macroeconomic model illustrates how changes in different factors (consumption, investment, government spending, exports, and imports) and their relationships with income can impact the equilibrium level of national income.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

-7,3

Step-by-step explanation:

look at the pictire

Answer:

zdsczsczscs

Step-by-step explanation:

The calculation of (6 X 5) X 1 can be simplified as 30

The calculation of (6 X 5) X 1 can be simplified as follows:

(6 X 5) X 1 = 30 X 1 = 30

When you multiply 6 and 5, you get 30. And when you multiply 30 by 1, you get the same number, 30. So, (6 X 5) X 1 equals 30.

However, none of the options given in the question match the result of the calculation.

Option A suggests that (7 X 5) X 1 equals 35, but that's not correct.

Option B suggests that (6 X 6) X 1 equals 36, which is also not correct.

Option C suggests that (7 X 5) X 1 equals 35, which, as we know, is incorrect.

Therefore, the correct answer to the given calculation is 30, but it's not listed among the choices.

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The absolute threshold is defined as the minimum detectable stimulus or intensity.

The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.

In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.

The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.

Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.

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Answer:

62

Step-by-step explanation:

The total of a triangle is 180

so 78+48 is 118

180-118=62

Answer:

range= 8

Step-by-step explanation:

to find range> subtract highest number to the lowest

so 10- 2= 8

negative; The inverse function will have a slope that is the negative reciprocal of the original function.

A linear function is a function that can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. A linear function with a negative slope will have an inverse function. The inverse function will have a slope that is the negative reciprocal of the original function. For example, if the original linear function has a slope of -2, the inverse function will have a slope of 1/2. The inverse function will also have a y-intercept that is the negative reciprocal of the original function's y-intercept. The inverse function will be of the same form, y = mx + b, but with a different m and b than the original function. The inverse function will have the same x-intercept as the original function. Knowing the slope and y-intercept of the original linear function allows us to calculate the slope and y-intercept of the inverse function.

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The pairs of rectangles are similar polygons; Option C and Option D.

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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\(y = 2-9(\frac{2}{3} ) = 2 - 3*2=2-6=-4\)

Hope that helps!

Answer:

8/20

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

42/6=7

We have the following expression given:

We can take common factor and we got:

And after simplify we got:

ANSWER:

109 + 8yt - 2s

WORKING:

81 + 7x² + 8yt - sx

81 + 7(2)² + 8yt - s(2)

81 + 7(4) + 8yt - 2s

81 + 28 + 8yt - 2s

81 + 28 + 8yt - 2s

109 + 8yt - 2s

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

The given statement is  (A) true:

There are exactly two partial orders that satisfy the conditions mentioned.

To understand why, let's analyze the requirements for a partial order in this case:

1. The element "a" must be the maximum element, meaning that "a" should be greater than or equal to any other element in the set.

2. The element "d" must be the minimum element, meaning that "d" should be less than or equal to any other element in the set.

To visualize this, let's consider the possible comparisons between the elements:

1. Comparing "a" with "b", "c", and "d":

  - If "a" is greater than all other elements (b, c, and d), then it would satisfy the condition of being the maximum element.

  - However, if "a" is equal to any other element (b, c, or d), it would still satisfy the condition of being the maximum element.

  - Therefore, there are 2 possibilities for the comparison between "a" and the remaining elements: either "a > b, a > c, a = d" or "a = b, a > c, a = d".

2. Comparing "d" with "a", "b", and "c":

  - If "d" is less than all other elements (a, b, and c), then it would satisfy the condition of being the minimum element.

  - However, if "d" is equal to any other element (a, b, or c), it would still satisfy the condition of being the minimum element.

  - Therefore, there are 2 possibilities for the comparison between "d" and the remaining elements: either "d = a, d < b, d < c" or "d = a, d = b, d < c".

Combining these possibilities, we have two different partial orders that satisfy the conditions:

1. Partial order 1: a > b, a > c, a = d, d < b, d < c
2. Partial order 2: a = b, a > c, a = d, d < b, d < c

Hence, the statement is true, and there are exactly two such partial orders. The correct answer is A) True.

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x=137°

hope that helped:)

Measuring length and width can determine if the center section is within specification. The given statement is insufficient to be determined as true or false as the statement doesn't specify the length and width of what is being measured.

Therefore, we can not provide the required answer without knowing the complete question. Hence, we need further information on the complete statement. In technical terms, specifications are a set of specifications and requirements that a product, materials, service, or system must meet. Specifications are developed to ensure that products, systems, or services are consistent, trustworthy, and meet the needs of the end-user. Therefore, specifications play a crucial role in ensuring the quality and reliability of a particular product or service. It also helps to determine whether a product or service meets the required safety and performance standards or not.

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Answer:

Step-by-step explanation: 19