which of the following ordered pairs satisfies the following linear pairs? 3x+2y=-2 x+2y=2​

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

Step-by-step explanation

Given

a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

Solution

So

the snails rate =11/8÷11/2

= 1/4Minutes per Meters

So the answer is 1/4 minute per meter

It is the quantity of an amount of something at a rate of one of another quantity.

If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

The snail's rate in minutes per meter is 4/3 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

3 miles in 60 minutes.

1 mile in 20 minutes.

We have,

Snail travels:

\(1\frac{1}{8}\) meters = \(1\frac{1}{2}\) minutes

9/8 meters = 3/2 minutes

Multiplying 8/9 on both sides.

1 meters = 8/9 x 3/2 minutes

1 meter = 4/3 minutes

This means that the snail's rate in minutes per meter is 4/3 minutes.

Thus,

If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

The snail's rate in minutes per meter is 4/3 minutes.

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Answer:

76.553 yards

Step-by-step explanation:

1m=1.094 yards

70×1.094=76.553yards

Answer:9

Step-by-step explanation:

Answer:

e=m

Step-by-step explanation:

Answer:

\(2\)

Step-by-step explanation:

For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula \(m=\frac{y_2-y_1}{x_2-x_1}\).

So...

\(y_2=30\\y_1=10\\x_2=70\\x_1=60\)

Now we plug in and solve...

\(m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2\)

So the slope will be 2.

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

a)The events A1, A2, and A3 are pairwise independent.

b)  The events are not mutually independent.

The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

"Information available from the question"

An urn containing four balls, numbered 110, 101, 011 and 000, from which one ball is drawn at random. For k = 1, 2, 3.

Let Ak be the event of drawing a ball with 1 in the kth position

Out of 4 numbers, 2 have 1 at first position

So outcomes in event A1 is

A1 ={ 110, 101}

Similarly, possible outcomes in A2 is

A2 ={110, 011}

A3 = {101,111}

The probabilities of events are

P(A1) = 2/4 = 0.5

P(A2) = 2/4 = 0.5

P(A3) = 2/4 = 0.5

Also, (A1 and A2) = {110}

(A1 and A3) = {101}

(A2 and A3) = {011}

The probabilities are

P(A1 and A2) = 1 /4 = 0.25

P(A1 and A3) = 1 /4 = 0.25

P(A2 and A3) = 1 /4 = 0.25

a) From above we have

P(A1 and A2) = P(A1)P(A2) = 0.25

P(A1 and A3) = P(A1)P(A3) = 0.25

P(A2 and A3) = P(A2)P(A3) = 0.25

So events A1, A2, and A3 are pairwise independent.

b) Since P(A1 and A2), P(A1 and A3) and P(A2 and A3) are not equal to zero so events are not mutually independent.

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Answer:

Sports is beneficial to physical health and well-being

as well as for growth and development, it decreases chances of contracting diseases and illnesses such as cardiovascular disease, lowers fat - intake as well as improves memory and relieves stress.

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The domain of the function (t) in h = - 16t² + 56t should be greater than

or equal to 43.5 seconds as the height of the rocket can not be negative.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

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

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

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given that;

A rocket is launched into the air. Its height in feet is given by

h = - 16t² + 72t.

Where t represents time in seconds and h represents the height in feet.

We know that height can not be negative.

h ≥ 0.

So,  - 16t² + 56t ≥ 0.

- 16t² ≥ -56t.

16t² ≥ 56t.

16t ≥ 56.

t ≥ 56/16.

t ≥ 3.5 seconds.

Therefore, the domain of the function (t) in h = - 16t² + 56t should be greater than or equal to 3.5 seconds.

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Answer:

65/100 that is the answer to this question

Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

Answer: ((B)) x = –6, x = 5

Step-by-step explanation: Edge 2021

As per quadratic equation, the solutions to the equation √(x² + 2x - 10) = √(x + 20) is x = - 6, 5.

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients(a ≠ 0), x is the variable, and 'c' is the constant term."

The given quadratic equation is:

√(x² + 2x - 10) = √(x + 20)

⇒ (x² + 2x - 10) = (x + 20)

⇒ (x² + 2x - 10) - (x + 20) = 0

⇒ (x² + x - 30) = 0

⇒ (x² + 6x - 5x - 30) = 0

⇒ x(x + 6) - 5(x + 6) = 0

⇒ (x + 6) (x - 5) = 0

⇒ x = - 6, 5

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Given:

The function is:

\(f(x)=\dfrac{\sqrt{2x-6}}{x-3}\)

To find:

The smallest possible integer value for $x$ such that $f(x)$ has a real number value.

Solution:

We have,

\(f(x)=\dfrac{\sqrt{2x-6}}{x-3}\)

This function is defined if the radicand is greater than or equal to 0, i.e., \(2x-6\geq 0\) and the denominator is non-zero, i.e., \(x-3\neq 0\).

\(2x-6\geq 0\)

\(2x\geq 6\)

\(\dfrac{2x}{2}\geq \dfrac{6}{2}\)

\(x\geq 3\)             ...(i)

And,

\(x-3\neq 0\)

Adding 3 on both sides, we get

\(x-3+3\neq 0+3\)

\(x\neq 3\)             ...(ii)

Using (i) and (ii), it is clear that the function is defined for all real values which are greater than 3 but not 3.

Therefore, the smallest possible integer value for x is 4.

A second-degree polynomial takes the form

\(f(x) = ax^2 + bx + c\)

for some constants a, b, and c. Such a function is continuous and differentiable everywhere in its domain.

Differentiating f(x) with respect to x gives

\(\dfrac{df}{dx} = 2ax + b\)

We're told that

• f(x) is increasing on [0, 8]

• f(x) is decreasing on ]-10, 0]

and since df/dx is continuous, this tells us that df/dx = 0 when x = 0. It follows that b = 0, and we can write

\(f(x) = ax^2 + c\)

We're also given that the curve passes through the point (-8, 4), which gives rise to the constraint

\(f(-8) = 64a - 8b + c = 4 \implies 64a + c = 4\)

Since f(x) is decreasing on ]-10, 0], we have df/dx < 0 when x = -8, so

\(2ax+b < 0 \implies -16a < 0 \implies a > 0\)

This means f(x) is minimized when x = 0, with min{f(x)} = c, so the co-domain of f(x) is the set {f(x) ∈ ℝ : f(x) ≥ c}.

Without another condition, that's all we can say about the co-domain. There are infinitely many choices for the constants a and c that satisfy the given conditions. For example,

a = 1, c = -60   ⇒   f(x) = x² - 60   ⇒   f(-8) = 4

⇒   co-domain = {f(x) ∈ ℝ : f(x) ≥ -60}

a = 2, c = -124   ⇒   f(x) = 2x² - 124   ⇒   f(-8) = 4

⇒   co-domain = {f(x) ∈ ℝ : f(x) ≥ -124}

etc.

By setting up the equation, we get the system of linear equations are

9x + 7y = 77

3x + 5y = 49

solving these equation Cost to rent a chair = $1.75

cost to rent a table = $8.75

A system of linear equations is a collection of one or more linear equations involving the same variables.

There are several methods for solving systems of linear equations, including:

Graphing: One way to solve a system of linear equations is to graph each equation on the same set of axes and look for the point of intersection. This method is useful when you want to visualize the solution, but it can be time-consuming if you have a large system of equations.

Substitution: The substitution method involves solving one of the equations for one of the variables and substituting this expression into the other equation. This will result in an equation with only one variable, which you can then solve.

Elimination: The elimination method involves adding or subtracting the equations in such a way that one of the variables is eliminated. This will result in an equation with only one variable, which you can then solve.

etc.

To solve the system of equations 9x + 7y = 77 and 3x + 5y = 49, you can use the substitution method.

First, solve the first equation for y:

9x + 7y = 77

7y = -9x + 77

y = (-9/7)x + 11

Now substitute this expression for y into the second equation:

3x + 5((-9/7)x + 5(11) = 49

3x - (45/7)x + 55 = 49

solving for x :

x = 1.75

Now substitute this value for x back into the first equation to find y:

y = 8.75

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Answer:

y = (5/7)x + (75/7)

Step-by-step explanation:

If you ever find yourself in a math class where you have to write the equation of a line that goes through a certain point and has a certain slope, don't panic. There is a simple formula that can help you out. It's called the point-slope form and it looks like this:

y - y1 = m (x - x1)

It may look scary, but it's actually pretty easy to use. All you have to do is plug in the values that you know and solve for the ones that you don't. For example, let's say you have a line that passes through the point (-1, 10) and has a slope of 5/7. You can use the point-slope form to write the equation of the line like this:

y - 10 = (5/7) (x - (-1))

See? That wasn't so bad. Now you can simplify the equation by distributing the 5/7 and adding 10 to both sides. You get:

y = (5/7)x + (75/7)

And that's it! You have written the equation of the line in slope-intercept form, which is another way of writing the equation of a line. You can check your answer by plugging in the values of x and y from the original point and seeing if they make the equation true. If they do, you're good to go. If not, you made a mistake somewhere and you should go back and fix it.

Congratulations! You have learned how to use the point-slope form to write the equation of a line. Now you can impress your math teacher and your friends with your skills.  Remember, with great power comes great responsibility.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Step-by-step explanation:

i hope it's helpful!........

The given shape is a kite, by definition. By definition of a kite, there will be two pairs of adjacent congruent sides. Also note, as it has 4 angles, it's total interior angle measurements will = 360°.

∴ the measurements of B & D can be found by subtracting the measurements for C and A & dividing by 2:

[360 - (32 + 102)]/2 = 113°

m∠B & m∠D would therefore = 113°

Answer:

the line goes through the points (-4, 0) and (0, 3)and slope is rise over run so the line goes up 3 and to the right 4 so you put 3 over 4, the slope is 3/4

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer:

j,z

Step-by-step explanation:

Answer:

1 11/12 should be the answer!

Answer:

1 11/12 or 23/12

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine :)