The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3 = 5. Find the other equation if its graph has a slope of 1.

Given the right triangle:

The Pythagorean theorem states that:

From the problem, we identify:

And a is our missing value. Using the Pythagorean theorem:

Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate.  lacking in strength or substance.

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The probability that Robert picks a black marble is 3/8. The result is obtained from the ratio of the number of black marble to all marbles.

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

In case Robert has 3 black marbles and 5 marbles of other colors, then he picks a marble randomly, what is the probability of picking black marble?

Total number of marbles is 3 + 5 = 8.

n(S) = 8

Number of black marble is 3.

n(A) = 3

The probability of picking black marble is

P(A) = n(A) / n(S)

P(A) = 3/8

Hence, the probability that Robert picks a black marble is 3/8.

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Answer:

20 times 4

Step-by-step explanation:

suricce area

Based on the scores that Jenna received on her quizzes, the lower quartile can be found to be 12

To find the lower quartile, use the formula:

= (Number of scores + 1) x 1/4

But before that, you need to arrange the scores that Jenna received, from ascending order:

11, 12, 16, 16, 17, 18, 20

Then use the formula to find the position of the lower quartile:

= (7 + 1) x 1/4

= 8 x 1/4

= 2

It is in the second position. The lower quartile score is therefore 12.

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Based on the scores that Jenna received on her quizzes, the lower quartile would be; 12

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

To determine the lower quartile, use the formula as;

= (Number of scores + 1) x 1/4

But before that, we need to arrange the scores that Jenna received, from ascending order which is;

11, 12, 16, 16, 17, 18, 20

Thus, use the formula for the position of the lower quartile:

= (7 + 1) x 1/4

= 8 x 1/4

= 2

Hence, It's in the second position. The lower quartile score is; 12.

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Answer:

[tex]\dfrac{3}{2\cos\theta - r\sin\theta}[/tex]

Step-by-step explanation:

The polar coordinate system uses two parameters r and θ where r is the magnitude of the radius of the circle in polar form(also known as the radial coordinate) and θ  the angle which the which the radius makes relative to the x=axis

The following equations are used to convert from cartesian coordinate to polar coordinates

[tex]r = \sqrt{x^2 + y^2}\\\\\\x = r\cos\theta\\\\y= r\sin\theta\\\\[/tex]

Substituting for x and y in terms of r and θ into the equation 2x - 3y = 3 gives

[tex]2x - y = 3\\\\2r\cos\theta - r\sin\theta = 3\\\\r(2\cos\theta - r\sin\theta = 3\\\\r = \dfrac{3}{2\cos\theta - r\sin\theta}[/tex]

The expression for a linear equation in thee slope-intercept form is ,

y = mx + b

the slope = m= (y2-y1)/ (x2-x1)

y-intercept is (0, b)

___________________

Rearreging tha expresion

y = 3x + 4

The rate is the slope (m) = 3

__________________________

Answer

the constant, in this case, is 3

Answer:

The meal cost $14.51 per person.

Step by step explanation:

Meal cost: 46.72

Sales tax: 8%

Then.

then we take out 8% of the value

Tip : 15% (meal and sales tax)

There are 4 people.

The multiplicative inverse property of the questions that we have here are:

This is the term that is used in Mathematics to show that we are to multiply a fraction by the inverse of that fraction.

A good example of this would be the form that is written as:

1/a would have the inverse property written as a/1

such that 1/a *a/1 = 1

In the same way,

we have

9/7 * 7 / 9 = 1

4/3 * 3/4 = 1

5 1/3 = 16 / 3 * 3/ 16 = 1

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Answer:

12 m

Step-by-step explanation:

area = (side)²

(side)² = area

√(side)² = √(area)

side = √(area)

side = √(144 m²)

side = 12 m

The temperature change from a 5 - kilometer altitude increase is 35 degrees.

It is given in the question that for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius.

We have to find the temperature change from a 5-kilometer altitude increase.

As, for 1 km altitude increase, the temperature drops by 7 degrees, hence by using unitary method, we can say that,

For 5 km altitude increase, the temperature will decrease by 7*5 = 35 degrees.

Unitary Method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

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Analyze each plan according to the given specifications.

Plan A:

The basic fee must be added to the product of 0.13 and the average messages sent.

Plan B:

It already includes the cost for unlimited messages.

Plan C:

The plan costs the product of 0.28 and the average messages sent.

When comparing these plans, the cheapest one is Plan B, which only costs $53.00.

x=3

The intervals to the given function are as follows:

This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).

From the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:

Hence the intervals are given as follows:

The relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:

(-0.366, -5.848) and (2,-1).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(1.366, -0.652).

The end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:

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The total distance of the trip is 50 miles

From the question, we have the following parameters

Distance completed = 40%

Distance travelled = 20 miles

Represent the total distance with x

So, we have the following equation

Distance travelled = Distance completed  *Total distance

This gives

Distance travelled = Distance completed  * x

So, we have

20 miles = 40% * x

Divide both sides by 40%

x = 50 miles

Hence. the length of the trip is 50 miles

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The equation to find the cost of the shirt is s = 5h and the cost is 30.

An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

Cost of the hat = 6

The shirt costs 5 times as much as the hat. Therefore, this will be:

s = 5h

where s = cost of shirt

h = cost of hat

The cost will be:

s = 5h

s = 5 × 6

s = 30.

The cost is 30.

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Answer:

11

Step-by-step explanation:

You will just add 6+5=11

The maximum length of each prism is equal to 7.99 centimeter.

First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:

Maximum surface area (quantity) = Cost/unit price

Maximum surface area (quantity) = $11/$0.04

Maximum surface area (quantity) = 275 square centimeter (cm²).

Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:

A = 6al + 3√3a²

Where:

Substituting the given parameters into the formula, we have;

275 = 6 × 4l + (3√3 × 4²)

275 = 24l + 48√3

24l = 275 - 48√3

24l = 191.8616

l = 191.8616/24

Length, l = 7.99 centimeter.

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Answer:

no solutions

Step-by-step explanation:

2x - y = 3 → (1)

- 4x + 2y = 5 → (2)

multiply (1) by 2 and add to (2)

4x - 2y = 6 → (3)

add (2) and (3) term by term

0 + 0 = 11

0 = 11 ← not possible

this indicates the system has no solution

Answer:

=========================

The triangle is isosceles as marked.

The two opposite angles of equal sides are equal, one of them is x and the angle in between them is 28°.

Use angle sum of the triangle:

Same as previous question, we have an isosceles triangle. Equal sides are:

Find the perimeter by substituting the value of x:

Answer:

y= 1 800- 150x

Step-by-step explanation:

y= 1 800- 150x



Answer:

[tex]a_{n}[/tex] = 2n - 6

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 2 - (- 4) = 0 - (- 2) = 2 - 0 = 2

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 4 and d = 2 , then

[tex]a_{n}[/tex] = - 4 + 2(n - 1) = - 4 + 2n - 2 = 2n - 6

the rule is then 2n - 6

4)  the distribution of the sample proportion of the 125 taxpayers that used the computer software to do their taxes is n(0.34, 0.0424) - option A

5)  the probability that between 28% and 40% of the taxpayers from the sample of 125 used computer software to do their taxes is pnorm(0.4,0.34,0.0424) - pnorm(0.28,0.34,0.0424) - Option A

4) Given data:

P = 0.34 and n = 125

Since, np = 0.34 * 125 = 42.5 > 10

& n(1 - p) = 125 * 0.66 = 82.5 > 10

Therefore, the normal distribution can be used here:

Mean is μp = p = 0.34

The standard Deviation is σp = [tex]\sqrt \frac{P(1-p)}{n} = \sqrt\frac{(0.34)(0.66)}{125} = 0.0424[/tex]

The distribution of sample proportion will be;

N (0.34, 0.0424)

Therefore, option (a) is correct that is n(0.34, 0.0424)

5) The likelihood that between 28% and 40% of the 125 taxpayers in the sample used tax preparation software is calculated as follows:

pnorm (0.4, 0.34. 0.0424) - pnorm (0.28, 0.34, 0.0424)

Therefore, option A is correct that is pnorm(0.4,0.34,0.0424)-pnorm(0.28,0.34,0.0424)

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Using the information of the factors f ( x ) are

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

The given function is substituted in the several equations given but the equations that yielded the desirable result of f ( x ) = 0 are:

Therefore they are the correct choice

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So we want to find the vertical asymptotes of the function:

Remember that there's a vertical asymptote at points of x where the denominator of the rational function is 0.

So, equal the denominator to zero:

And solve this equation for x as follows:

We could factor

Now, notice that any of both factors could be zero, so:

Therefore, the function has vertical asymptotes at x=6 and x=3.

The unit rate of Ben is 8.5 minutes.

For this problem, we are looking for how many miles Ben walked per minute — so the goal is miles per minute

So, calculate:

Therefore, the unit rate for Ben is 8.5 minutes.

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Complete question:

Ben walked 3/4 of a mile in 8 1/2 minutes. Find the Unit Rate.

The amount of paint that must be used from can A and can B is 3.86 liters and 5.14 liters respectively to obtain 9 liters of paint which is half blue and half yellow.

Can A has 9 parts of blue paint and 1 part of yellow paint, this can be expressed in percentage as;

Can A = 90% blue, 10% yellow

Similarly,

Can B = 20% blue, 80% yellow

Now consider an algebraic expression as follows;

A + B = 9 liters

90% A + 20% B = 50% [Blue]

10% A + 80% B = 50% [Yellow]

Resolving;

90% A + 20% B = 10% A + 80% B

80% A = 60% B

Solving the equation, A + B = 9, for one variable;

A + B = 9

B = 9 - A

80% A = 60% (9 - A)

80% A = 540% - 60% A

140% A = 540%

A = 3.86 Liters

Now solving for B;

B = 9 - A

B = 9 - 3.85

B = 5.14 Liters

Therefore 3.86 liters should be used from can A and 5.14 liters should be used from can B.

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Answer:

b > 6, b < -6

Step-by-step explanation:

Hello!

Using absolute value rules:

The compound inequality is as follows: b > 6, b < -6

This makes sense because all values turn positive in the asbolute value. So a number that is negative and less than -6 (say -7), would turn positive to be 7, which is greater than 6.

And any number already greater than 6 will always be greater than 6.

Answer:

A. 2.25 feet.

Explanation:

We know the following equation:

Where v is the speed, g is the gravity and h is the height. So, replacing v by 12 feet per second and g by 32 feet per second square, we get:

So, solving for h, we get:

Therefore, the answer is A. 2.25 feet.