Find the equation of the​ line, in​ lope-intercept form, containing the point ( 5,2. 2) and (9,2. 6)

The length of the side c is equal to 29.54 approximately to 2 decimal place, using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

For the triangle ABC, by sine rule;

a/sinA = b/sinB = c/sinC

We first derive the angle C as follows:

46° + 73° + C = 180° {sum of interior angles of a triangle}

C = 180° - 119

C = 61°

Thus by sine rule;

c/sin61° = 32.3/sin73°

c = (32.3 × sin61°)/sin73° {cross multiplication}

c = 29.5410

Therefore, by proper application of the sine rule we have the length of the side c to be equal 29.54 approximately to 2 decimal place.

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Answer: 9/4

Step-by-step explanation:

The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4

Simple 2 1/4 to fraction = 9/4

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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.

Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups

Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.

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Answer:

Step-by-step explanation:

Length of side AB=a=10.75cm

Answer: 5(x+-2) = 30

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

5(x+(-2))=30

5x-10=30

   +10 +10

5x=40

/5.  /5

x=8

Hopes this helps please mark brainliest

Answer:

d

Step-by-step explanation:

its 3 to the right and top and its not a negative number so we don't go left

Answer:

Graph A

Step-by-step explanation:

The equation indicates the line has a positive slope and a y-intercept of 0.  The only graph that corresponds to those conditions is Graph A.

Answer:

3√3?

Step-by-step explanation:

The transformation that is results in the given function is a horizontal shrink of scale factor 1/4.

Remember that for a function f(x), we define a horizontal shrink of scale factor k as:

g(x) = f(x*1/k)

Here we know that:

f(x) =x^2

g(x)= f(4x) = (4x)^2

Then this is equivalent to an horizontal shrink of scale factor of 1/4

Then the scale factor is k = 1/4, and the correct option is A.

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Answer:

25% increase

Step-by-step explanation:

120 thousand cars were manufactured in a country in the year 2004-O5. The production of cars increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.

(150 - 120) / 120 = 0.25

0.25 = 25% increase

The equivalent value of the [x] that satisfy the given statement is 18.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is the statement -

the quotient of a number and three increased by 10 is 16

The given mathematical statement is -

the quotient of a number and three increased by 10 is 16

Assume the number to be [x]. Then, we can write -

(x/3) + 10 = 16

x/3 = 16 - 10

x/3 = 6

x = 6 x 3

x = 18

Therefore, the quotient of 18 and three increased by 10 is 16.

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The equation which models the distance of the turtle from the pond is q = 26.2 + 3.5p. Option D. is the answer

Given that:

A turtle is 26.2 meters from a pond when it starts crawling toward the pond

The turtle crawls straight toward the pond at a constant rate of 3.5 meters per minute

q represents the turtle's distance, in meters, from the pond and p represents the number of minutes since it started crawling toward the pond

The linear equation is of the form y = mx + c

where m is the rate of change and c is the starting point or y-intercept

m = 3.5 meters per minute, c = 26.2 meters

y = q ( turtle's distance) and x = p (number of minutes)

Thus, the equation models the distance will be:

q = 26.2 + 3.5p

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The values of x and y are -49/4 and -15/8 respectively for the given set of equations -2x + 4y = 17 and 3x - 10y = -3.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given pair of equations,

-2x + 4y = 17      (1)

3x - 10y = -3      (2)

Multiply equation (1) with 3 and equation (2) with 2  

-6x + 12y = 51         (3)

6x - 20y = -6          (4)

Add equation (3) and (4),

- 8y = 15

y = -15/8

Substitute the value of  y in equation (1)

-2x + 4 (-15/8) = 17

-2x - 15/2 = 17

-2x = 49/2

x = - 49/4

The values of x and y for the given equations are -49/4 and -15/8 respectively.

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For the given equation the value of x and y will be 15/4 and 17/8 respectively

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equations are,

-2x+4y=17 -------(1)

3x-10y= -3

The value of x from equation 1 is,

-2x+4y=17

x=(17-4y)/2 -------(2)

Substitute the value of x in equation 2,

3x-10y=-3

3(17-4y)/2-10y= -3

y=17/8

The value of x is obtained as,

x=15/4

Thus, for the given equation the value of x and y will be 15/4 and 17/8 respectively

The question is incomplete the complete question is"solve the linear equation -2x+4y=17, 3x-10y=-3

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The required algebraic expression when the that  total cost is $142.05.

That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

=>Total cost = 3.25t +.68w

Given: Tomatoes cost $3.25 per lb while watermelons cost $.68 per lb.

Let w = weights of the tomatoes and watermelons.

The algebraic expression would be:

3.25t +.68w = Total cost

For 5 pounds of tomatoes and 185 lb of watermelon:

68(185) + 3.25(5)

=$125.80 + $16.25

= $142.05

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

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The graph f(x) of  y = 1/2 f(x).

The graph demonstrates that regardless of its value, y is always positive. From the question figure, the following conclusions can be made.

Whenever x is 0, y also equals 0.

If x is 1, then y is 2.

when x is two, y is four.

Y is two when x is -1.

If x is -2, then y is 4.

It implies that the modulus function (|x|) is a function of f(x).

Here is a definition of the modulus function:

g(x)

g(x) = |x| = {x,i∫x≥0

               {-x,i∫x<0

As we can see, it is twice as large as |x|, therefore the graph in the question figure

y = f(x) = 2|x |{ -2 ≤ x ≤2}

Therefore, we must create a graph y = 1/2 f(x)

y = |x | {-2 ≤ x ≤ 2}

Please see the graphic in the attachment for the graph of  y = 1/2 f(x).

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Answer: 83 on the dot

Step-by-step explanation:83x4.50=373.50

Answer:

Step-by-step explanation:

answer for 1 & 2 & 3

You should spend 30 minutes on machine 1 and 10 minutes on machine 2.

Given,

In the question:

You have 40 minute to exercise at the gym, and you want to burn a total of 300 hundred calorie using both machine.

Now, According to the question;

300 calories in 40 minutes can be set up as a ratio to find out how many calories per hour or calories per minute you are trying for:

300 calories /40 minutes = x calories/60 minutes for calories per hour (you are aiming for 450 calories burned per hour)

300 calories / 40 minutes = 7.5 calories per minute if you want to look at it that way instead.

One version of this problem that I found online completes the setup this way:

This allows us to set up a system of equations. The first equation will be for calories burned:

8x + 6y = 300

x is minutes on the 8 calorie per minute machine; y is minutes on the 6 calories per minute machine.

A second equation simply shows that the total minutes add up to 40:

x + y = 40

Now you can use substitution, elimination, or linear combinations to solve the system. I'll use substitution to rewrite the second equation:

x = 40 - y....(1)

Now substituting into the first equation:

8(40 - y) + 6y = 300

320 - 8y + 6y = 300

2y = 20

y = 10

Put the value of y in eq.(1)

Then, x gives the 30

Hence, You should spend 30 minutes on machine 1 and 10 minutes on machine 2.

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Answer:

top option: The function is nonlinear and does not have a constant rate of change

Step-by-step explanation:

This is a parabolic function, meaning that it increases exponentially. Therefore, it is nonlinear and does not have a constant slope (rate of change).

9,000,000,000 is the best estimate of the number of bottles sold this year and last year

A number system is defined as a system of writing to express numbers.

Given,

Current year consumers purchased 7,234,267,990 bottles of water

Last year consumers purchased 2,000,900,999 bottles of water.

We need to find the best estimate of the number of bottles sold current year and last year.

The best estimate means rounding up to the nearest whole number.

The estimate of the bottles sold this year and last year from the above value is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Hence, 9,000,000,000 is the best estimate of the number of bottles sold this year and last year

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It will take 6 months for Omari to finish paying off the monthly payment for the computer.

What is the monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Given, the total price of the computer = $1,099

down payment = 20% of $1,099 = $219.8

The remaining amount = $1,099 - $219.8 = $879.2

monthly payments for the computer = $144

Then, the total months to pay = 879.2/144 = 6 months

Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.

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Answer:

The equation of the sunflower's height is h = 18+2.5w

Since the number 18 remains constant regardless of the change in number of weeks, we know that at the start h (w=0) = 18 + 2.5 x 0.

This means that, when Jin planted the sunflower, the sunflower's height was already 18 inches.

For such a reason, we can conclude that the number 18 could represent the sunflower's height at the start (original height).

--

Have a nice day!!

The probability that the card is a king and a black card is 1/26.

There are 4 kings in a deck of 52 playing cards, and half of the cards are black, so there is a 1/13 probability that a randomly drawn card is a king, and a 1/2 probability that it is black.

To find the probability that a card is both a king and black, you can use the formula for the probability of the intersection of two events: P(A and B) = P(A) * P(B | A), where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.

Using this formula, the probability of drawing a king and a black card is:

P(King and Black) = P(King) * P(Black | King)

= (1/13) * (1/2)

= 1/26

So the probability of drawing a king and a black card is 1/26, or about 3.8%.

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To convert the fraction 2 8/10 to a decimal, divide the numerator (8) by the denominator (10):

Then, add the integer part (2) to the result:

Therefore, the decimal representation of 2 8/10 is 2.8.

Answer:

g(x) = |x-4| + 3

Answer:

so I think the anwerst it all jedi younglings

Correct representations of the inequality -3(2x - 5) 5 are - 6x + 15 10 - 5x (2 – x)

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1]

The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a b indicates that an is smaller than b.

When a > b is used, it indicates that an is bigger than b.

A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities[1]. Equivalence is not considered.

There are two form of inequality relations that are not strict, in contrast to strict inequalities:

The indication of an or b denotes that.

According to our question-

The fourth response is shown by an open circle at 5, and a bold line that begins at 5 and points to the right (attached figure)

Detailed explanation

The difference is 5 (-3(2x - 5)). (2 - x)

First, make each side simpler.

∵ -3(2x - 5) = -3(2x) + -3(-5) (-5)

Recall that (+)=(-)

∴ -3(2x - 5) = - 6x + 15

∵ 5(2 - x) = 5(2) + 5(-x) (-x)

Recall that (+)(-) = (-)

∴ 5(2 - x) = 10 - 5x

∴ - 6x + 15 < 10 - 5x

Take 15 away from both sides.

∴ - 6x < -5 - 5x

5 times on both sides

∴ - x < - 5

Because the coefficient of x is negate, you must change the inequality's sign when you divide both sides by it.

The x coefficient is -1.

∴ Add -1 to both sides.

∴ x > 5

The appropriate answers are:

- 6x + 15 < 10 - 5x

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Answer:

Step-by-step explanation: with what????????????????????

Answer:

theres no image?

Step-by-step explanation:

Step-by-step explanation:

[tex]5 \sin(4(x - \frac{1}{2} ) ) - 3[/tex]

Period is b/2pi

Which is

[tex] \frac{4}{2\pi} [/tex]

[tex] \frac{2}{\pi} [/tex]

Answer:

Step-by-step explanation:

1. 2310/35805 -> 3/10

2. 480/720 -> 2/3

3. 120/600 -> 1/5

4. 315/1680 -> 3/16

5. 126/840 -> 3/20

6. 1848/252​ -> 22/3

$592 is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares. Using the concept of probability -

Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Mean – 385 per ticket

Standard Deviation - 110

Now,

P (Z > x ) = 0.03

Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88

P(x - u / (standard deviation) > x - 385/110) = 0.03

That is, (x - 385/110) = 1.88

Therefore, x = 1.88 ×( 110+385)

= 591.91 or $592

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The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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