Write the equation of the line that passes through the points (-6,-4) (6,-9) Put your answer in fully reduce points out form unless it is a vertical or horizontal line

Answer:

x = 4

Step-by-step explanation:

4(2x - 5) = 5x - 8

Distribute 4: 8x - 20 = 5x - 8

Add 20 to both sides: 8x = 5x + 12

Substract 5x from both sides: 3x = 12

Divide both sides by 3: x = 4

Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

\(3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3\)

Step-by-step explanation:

x² + (2x)² = (√180)²

x² + 4x² = 180

5x² = 180

x² = 180/5

x² = 36

x = √36 (and no - √36 because x ≥ 0)

x = 6

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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3 and 1/2 times 5/4 or 7/2x5/4 do that and you get 35/8 simplify to get 4 and 3/8

Answer:

The system is consistent.

Step-by-step explanation:

Answer:

  (b)  There is not enough information to know whether the system is consistent or inconsistent.

Step-by-step explanation:

Given a system of equations consists of two lines with the same slope, you want to know whether the system is consistent or inconsistent, whether the lines are perpendicular, or if there is enough information to tell.

Lines with the same slope are either parallel or coincident. If they are parallel, the system of equations is inconsistent. If they are coincident, the system of equations is consistent.

Parallel or coincident lines are not perpendicular. Perpendicular lines have opposite reciprocal slopes.

Since we cannot tell whether the lines are parallel or coincident from the given description, we have to say, "there is not enough information to know."

Given:

cost per gallon = $3.949

used gallon = 47 gallons

Asked: How much fuel did she spent?

Solution:

To find the answer to the problem, we will multiply the cost per gallon by the total number of gallons Lara used.

ANSWER: $185.603

Answer:

160%

Step-by-step explanation:

percents are out of 100

for example, 60% is 60/100

to get 8/5 as a percent, create an equivalent fraction with 100 as the denominator

8/5 is equivalent to 160/100 (both 8 and 5 were multiplied by 20)

so 8/5 is 160%

or

you could divide 5 into 8 and get 1.6 which is 160%

Answer:

160%

Step-by-step explanation:  

8/5 is equivalent to 160/100 (both 8 and 5 were multiplied by 20)

or  

=>  8/5 = 1.6 => 160/100 => 160%  

Answer: (14 , 15/2)

Step-by-step explanation:

...

Answer:

No, K isn't the midpoint of JL

Therefore ,we can conclude from answering the offered question that the region of the circle, triangle, and square is where the darkest area is. A=210-123 = 87 square units

A triangle is a polygon since it has three sides plus three vertices. It is one of the basic geometric forms. An illustration of a triangle with the sides A, B, and C is Triangle ABC. A distinct plane or triangle in Geometrical are discovered when the three aspects are not collinear. Three sides & three corners define a triangle as a polygon. The triangle's corners are defined as the locations where three sides converge. 180 degrees is the result of multiplying three triangle angles.

Here,

The total of the circle, triangle, and square's surface areas.

The region of the darkish area is comprised of the areas of the Circle, Triangle, and Square.

=>A = 210 – 123 = 87 square units

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The total price is 40.8, which can be represented by the coordinates (15, 40.8).

The equation y = 2.72x can be used to calculate the price of gasoline in terms of the number of gallons purchased.

The equation y = 2.72x can be used to calculate the total price of any number of gallons of gasoline. In this equation, y represents the total price and x represents the number of gallons of gasoline. In this equation, y represents the total price and x represents the number of gallons. If we input 15 gallons into the equation, we can calculate the total price of gasoline. To do this, we must substitute 15 for x in the equation, giving us y = 2.72(15). We can then calculate the total price by multiplying 2.72 and 15, which yields 40.8. Thus, for 15 gallons of gasoline, the total price is 40.8, which can be represented by the coordinates (15, 40.8).

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The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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To calculate the various parameters for a normal shock in a Mach 2.0 flow, we can use the following formulas and relationships:

(a) The velocity of the upstream flow, a, can be calculated using the Mach number (M) and the speed of sound (a₁) at the upstream condition:

a = M * a₁

where a₁ = √(y * R * T₁)

Substituting the given values:

T₁ = 15°C = 15 + 273.15 = 288.15 K

R = 287 J/kg-K

y = 1.4

M = 2.0

a₁ = √(1.4 * 287 * 288.15)

   ≈ 348.72 m/s

a = 2.0 * 348.72

   ≈ 697.44 m/s

Therefore, the velocity of the upstream flow is approximately 697.44 m/s.

(b) The speed of sound downstream of the shock, a₂, can be calculated using Prandtl's relation:

a₂ = a₁ / √(1 + (2 * y * (M² - 1)) / (y + 1))

Substituting the given values:

M = 2.0

y = 1.4

a₁ ≈ 348.72 m/s

a₂ = 348.72 / √(1 + (2 * 1.4 * (2.0² - 1)) / (1.4 + 1))

   ≈ 263.97 m/s

Therefore, the speed of sound downstream of the shock is approximately 263.97 m/s.

(c) The velocity of sound, a₀, at the downstream condition can be calculated using the formula:

a₀ = a₂ * √(y * R * T₂)

where T₂ is the temperature downstream of the shock. Since this is a normal shock, the static pressure, density, and temperature change across the shock, but the velocity remains constant. Hence, T₂ = T₁.

a₀ = 263.97 * √(1.4 * 287 * 288.15)

   ≈ 331.49 m/s

Therefore, the velocity of sound at the downstream condition is approximately 331.49 m/s.

(d) The change in specific enthalpy, Δh₂, across the shock can be calculated using the equation:

Δh₂ = (a₁² - a₂²) / (2 * y * R)

Substituting the given values:

a₁ ≈ 348.72 m/s

a₂ ≈ 263.97 m/s

y = 1.4

R = 287 J/kg-K

Δh₂ = (348.72² - 263.97²) / (2 * 1.4 * 287)

    ≈ 1312.23 kJ/kg

Therefore, the change in specific enthalpy across the shock is approximately 1312.23 kJ/kg.

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Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer:

x=5

Step-by-step explanation:

m<1=m<2 ( r is parallel to s) corresponding angles are equal

60-2x=70-4x

70-60=-2x+4x

2x=10

x=10/2=5

m<1=60-2x = 60-10=50

m<2= 70-4x =70-20=50

Step-by-step explanation:

you know how functions work ?

the variable (or variables) in the findings expression is a placeholder for actual values.

when we have an actual value, we put that into the place of the variable and then simply calculate.

x = 5

therefore, the functional calculation is

y = 3×5 - 7 = 15 - 7 = 8

keep in mind the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

therefore, we need to calculate "3×5" before we deal with the "- 7" part.

Answer:

Step-by-step explanation:

y=8

Answer:

\( 5\sqrt{3} \)

Step-by-step explanation:

here

tan(60)= p/b

\( \sqrt{3 } = \frac{y}{5} \)

\(y = 5\sqrt{3} \)

The solution is :

The outlier on the the scatter plot is point L(6,2).

Here, we have,

given that,

M(3,3)

P(5,5)

N(5,7)

L(6,2)

Other points are : (1,3), (2,3), (2,4), (3,4), (3,5), (4,5), (4,6), (5,6)

Now, To find the outliers on the scatter plot we plot all the given points on the graph.

The resultant graph is attached below :

An outlier is a value in a data set that is very different from the other values. That is, outliers are values which are usually far from the middle.

As we can see the graph the point L(6,2) is the most unusual or the farthest point on the scatter plot as compared with all the other points on the scatter plot.

Hence, The outlier on the the scatter plot is point L(6,2).

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complete question:

Which point on the scatter plot is an outlier?

A scatter plot is show. Point M is located at 3 and 3, Point P is located at 5 and 5, point N is located at 5 and 7, Point L is located at 6 and 2. Additional points are located at 1 and 3, 2 and 3, 2 and 4, 3 and 4, 3 and 5, 4 and 5, 4 and 6, 5 and 6.

Point P

Point N

Point M

Point L

Answer:

\(x \leqslant - 3\)

option C is the right option.

Solution,

\( \frac{x}{3} - \frac{x - 1}{2} \geqslant 1 \\ = \frac{2x - 3( x - 1)}{6} \geqslant 1 \\ = \frac{2x - 3x + 3}{6} \times 6 \geqslant 6 \\ = 2x - 3x + 3 \geqslant 6 \\ = - x + 3 \geqslant 6 \\ = - x + 3 - 3 \geqslant 6 - 3 \\ = - x \geqslant 3 \\ = - ( - x) \leqslant - 3 \\ = x \leqslant - 3\)

hope this helps...

Good luck on your assignment

Answer:

Let's solve your inequality step-by-step.

\(\frac{x}{3}-(\frac{x-1}{2})\geq1\)

Step 1: Simplify both sides of the inequality.

\(\frac{-1}{6}x+\frac{1}{2}\geq1\)

Step 2: Subtract 1/2 from both sides.

\(\frac{-1}{6}x+\frac{1}{2}-\frac{1}{2}\geq1-\frac{1}{2}\)

\(\frac{-1}{6}x\geq\frac{1}{2}\)

Step 3: Multiply both sides by 6/(-1).

\((\frac{6}{-1})*(\frac{-1}{6}x)\geq(\frac{6}{-1})*(\frac{1}{2})\)

\(x\leq-3\)

Answer:

\(x\leq-3\) This is the answer

I hope this help you :)

Answer:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

= 3²+ 6²

= 9 + 36

x² = 45

x = √45

x = 6.71

Step-by-step explanation:

Answer:

what type of help......

Answer:

C on edge 2021

Step-by-step explanation:

Answer:          GH

Step-by-step explanation:

Answer:

a) the largest y-intercept is 1

b) 13.5

c) y=x-3

d) 8

Step-by-step explanation:

the question was worded very strangely and I will answer the way I precieved it.

for question d, I simply considered the question to be asking what is X when y is 17 and since the equation of that line is 2x-1

Answer: D

Step-by-step explanation:

Given a binomial distribution, the standard deviation can be found by the equation

√\(npq\)

where n = number of trials, p = chance of success, and q = chance of failure (or 1 - p).

Answer:

5/18 is a rational number because a rational number is any integer,fraction terminating decimal,or repeating decimal.

5/18 is rational number.

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter Q stands for the set of rational numbers. Look at the following illustration to see what a rational number looks like.

Given:

5/18

For rational we need to first divide the fraction and then check whether the fraction is a decimal or not.

Or if it is a decimal then it is terminating or non terminating

5/18 = 0.2777777777777778

Hence, it is terminating  because rational number is any integer, fraction terminating decimal or repeating decimal.

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Answer:

kl of ????????????

Step-by-step explanation:

Answer:

it would be 61 + 90, then u would get j

Step-by-step explanation:

90^2+61^2=j^2

so the answer/ j  would be 108.72 feet

To solve this problem, we need to find a common denominator for 5/8 and 3/12.

The prime factorization of 8 is 2 x 2 x 2, and the prime factorization of 12 is 2 x 2 x 3.

A common denominator for 5/8 and 3/12 is the least common multiple (LCM) of 8 and 12, which is 24 (2 x 2 x 2 x 3).

We can convert both fractions to have a denominator of 24 as follows:

5/8 = (5/8) x (3/3) x (3/3) = 15/24

3/12 = (3/12) x (2/2) x (4/4) = 6/24

Now we can add the fractions:

15/24 + 6/24 = 21/24

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 3:

21/24 = (21/3) / (24/3) = 7/8

Therefore, 5/8 + 3/12 = 7/8.

The answer is (B) 7/8.

Answer:

B 7/8

Step-by-step explanation:

showed work in the picture

Answer:2=6-*2

Step-by-step explanation: