What is the slope of the line that contains these points?

x 12 13 14 15

y -4 , 2 8 14





Δ⊕∞∵∴α∞→←⇅≡∝αβΔωπ

Answer:

Step-by-step explanation:

Work out 2/13 of £208

208 * 2/13 =

16 * 2 =

32

-----------------------

The quotient (which is 12 apparently) would represent the no. of students sitting on one table.

Answer:

Step-by-step explanation:

1. We know that a triangle needs to have angles that total up to 180°.

2. We know that a little square on an angle is 90°.

3. We also know that the top angle is 38°.

4. Since we don't know one of the angles, we can name it u, for an unknown angle.

4. So, 180=90+38+u, and we know that is equal to 180-90-38=u.

5. u=52°.

6. Now that we have the unknown angle, we can subtract 52 from 180.

7. x, the exterior angle, is equal to 128°.

Please give me brainliest!

Answer:

128°

Step-by-step explanation:

We know that, the value of the exterior angle is equal to the sum of opposite interior angles of a triangle.

Accordingly,

38° + 90° = x°

128° = x°

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

\(\dfrac{15}{x} - \dfrac{6}{x-2}=1\)

Now, simplify the above expression.

\(15(x-2)-6(x)=x(x-2)\)

\(15x-30-6x=x^2-2x\)

\(x^2-11x+30=0\)

Factorize the above equation.

\(x^2-6x-5x+30=0\)

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

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Answer:

a=10^3=10*10*10

b=10,000=100^2

Step-by-step explanation:

The book that weighs 3/4 pounds is greater than 1/2 pounds.

To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.

Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.

Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.

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Answer:

$1715.44

Step-by-step explanation:

The formula to calculate the present value is;

PV = S(1 + r)^(-n)

Where;

S is the current debt

r is the interest rate

n is the amount of years which the debt is due.

Thus, for the debt of $3500 & $5000, we have total debt value as;

PV = (3500(1 + 0.07)^(-4)) + (5000(1 + 0.07)^(-6))

PV_debt = $6001.84

Now,let's find total PV of the payments that will be made since a single payment of $1500 now and three equal payments that are due each consecutive year from now annually;

PV_payments = 1500 + x(1 + 0.07)^(-1)) + x(1 + 0.07)^(-2)) + x(1 + 0.07)^(-3))

Where x is the value of each of the equal payments.

Thus, expanding we have;

PV_payments = 1500 + x(1.07)^(-1)) + x(1.07)^(-2)) + x(1.07)^(-3))

>> PV_payments = 1500 + x((1.07)^(-1)) + (1.07)^(-2)) + (1.07)^(-3))

Solving the bracket we have;

PV_payments = 1500 + 2.6243x

To find the value of each equal payments, we will equate PV_debt to PV_payments to get;

6001.84 = 1500 + 2.6243x

Thus;

2.6243x = 6001.84 - 1500

2.6243x = 4501.84

x = 4501.84/2.6243

x = $1715.44

Answer:

6

Step-by-step explanation:

if you use a= l x w substitute in what you know

54 = 9 x w

divide both sides by 9

b=6

The container holds 5 mL of fluid, which is less than 500 mL of fluid.

5 mL is much smaller than 500 mL, so the container holds less than 500 mL of fluid.

The numerator and denominator of a unit conversion factor have the same quantity in different units. Multiplying by a conversion factor has no effect on the number's inherent value because the factor is comparable to multiplying by 1.

The numerator is the intended unit, whereas the denominator is the supplied unit.

The primary guideline is to multiply when converting from a bigger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit. You will reduce the number, and as you are aware, division is all about reducing numbers.

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The standardized measure of the degree to which the independent variable caused a change in the dependent variable is a standard change.

A dependent variable is what is determined in an experiment or test and is the one that is influenced throughout the experiment. The dependent variable is affected by the independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are explored in an experiment under the assumption or requirement that they are dependent, by some law or rule, on the values of other variables.

In conclusion, the standard change illustrates the change.

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The equation for the line in point-(1, 1) is y = -0.5x + 0.5.

Given that the slope of the line below is -0.5. We are to enter the equation for the line in point-(1, 1).The equation for the slope-intercept form of the line is y = mx + c where m is the slope and c is the y-intercept.

Now, the slope of the line is given as -0.5.Therefore, the equation for the slope-intercept form of the line is y = -0.5x + c. Now we need to find the value of c for the equation of the line.

To find the value of c, substitute the values of x and y in the equation of the slope-intercept form of the line.

Given that the point is (-1,1), x=-1 and y=1y = -0.5x + c⇒ 1 = (-0.5) (-1) + c⇒ 1 = 0.5 + c⇒ c = 1 - 0.5⇒ c = 0.5

Therefore, the equation for the line in point-(1, 1) is y = -0.5x + 0.5.The slope of a line refers to how steep the line is and is used to describe its direction. Slope is defined as the vertical change between two points divided by the horizontal change between them.A positive slope moves up and to the right, while a negative slope moves down and to the right. If a line has a slope of zero, it is said to be a horizontal line.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept, or the point at which the line crosses the y-axis. To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.

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Answer:

Slope = -14

Step-by-step explanation:

A slope of a linear function is found using the formula: \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

where \(x_{1}=7, y_{1}=280, x_{2}=11,\) and \(y_{2}= 224\).

Plugging them into the equation, you get:

\(\frac{224-280}{11-7} = -\frac{56}{4} = -14\)

Therefore, the slope of the line is -14.

Distribution agreements involve both parties mutually contributing to the distribution efforts.

A joint venture is another way of referring to a non-equity mode of entry with an alliance partner. An acquisition is another way of referring to an equity mode of entry, including, but not limited to, an acquisition. A license grants the right or permission to use the property, including intellectual property, of another. A distribution agreement is an agreement between at least two parties to join their efforts in an attempt to sell a product or service. The two main types of distribution agreements are sponsored and collaborative. In a sponsored distribution agreement, one party sponsors the other party's product or service, while in a collaborative distribution agreement, both parties work together to sell the product or service.

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Answer:

5.43500

Step-by-step explanation:

The percentage increase of the stereo cable is 14.2%

The cost of the stereo cable yesterday is $14

The cost rose to $16

The first step is to calculate the increase

16-14

= 2

The percentage increase can be calculated as follows

increase/original price × 100

= 2/14 × 100

= 0.142 × 100

= 14.2

Hence the percentage increase is 14.2%

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Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

Answer:

Angle E is equal to angle A and line VC is equal to line BT

Step-by-step explanation:

through AAS, you prove the triangle is simalar

Answer:

its "equally likely and unlikely" because since its 50% for the chocolate chip then its 25% for both oatmeal raisin, and sugar cookies, which both of their percentages are equivalent to 50% so its a 50/50 chance between getting chocolate chip cookies to getting oatmeal raisin and/or sugar cookies

Step-by-step explanation:

Answer:

after it has been enlarged 3 times

Answer:

x=135

Step-by-step explanation:

135 !!!!!lollllll

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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The context-free grammars are =

a) S → X1 × X1 × X1

X → 0 | 1 | 0X | 1X

b) S → ε | 0S0 | 1S1

c) S → 0 | 1 | 0S0 | 1S1

d) S → 0A0 | 1A1

A → 0S0 | 1S1 | ε

e) S → ε | 0S0 | 1S1 | 0 | 1

f) S → (any production rule)

a. Context-free grammar:

S → X1 × X1 × X1

X → 0 | 1 | 0X | 1X

State diagram of PDA:

       ┌───1───┐    0, 1    ┌───────┐

---> q₀ ---> q₁ ---> q₂ ---> q₃ ---> q₄

       └────────┘    0, 1    └───────┘

b. Context-free grammar:

S → ε | 0S0 | 1S1

State diagram of PDA:

       ┌───0───┐    ε     ┌───────┐    ┌───0───┐

---> q₀ ---> q₁ ---> q₂ ---> q₃ ---> q₄ ---> q₅

       └────────┘    ε     └───────┘    └───1───┘

c. Context-free grammar:

S → 0 | 1 | 0S0 | 1S1

State diagram of PDA:

       ┌───0───┐    ε     ┌───────┐    ┌───0───┐

---> q₀ ---> q₁ ---> q₂ ---> q₃ ---> q₄ ---> q₅

       └────────┘    ε     └───────┘    └───1───┘

d. Context-free grammar:

S → 0A0 | 1A1

A → 0S0 | 1S1 | ε

State diagram of PDA:

       ┌───0───┐    ε     ┌───────┐    ┌───0───┐

---> q₀ ---> q₁ ---> q₂ ---> q₃ ---> q₄ ---> q₅

       └────────┘    ε     └───────┘    └───1───┘

e. Context-free grammar:

S → ε | 0S0 | 1S1 | 0 | 1

State diagram of PDA:

       ┌───0───┐    ε     ┌───────┐    ┌───0───┐    ┌───ε───┐

---> q₀ ---> q₁ ---> q₂ ---> q₃ ---> q₄ ---> q₅ ---> q₆ ---> q₇

       └────────┘    ε     └───────┘    └───1───┘    └───ε───┘

f. Context-free grammar:

S → (any production rule)

State diagram of PDA:

Initial State: q0

Since the language ∅ is empty, there are no valid productions or transitions for the PDA.

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Answer:

i think it would probably be RS. 4000

Answer:

Line Intersection Postulate

Step-by-step explanation:

If 2 lines intersect, then their intersection is exactly one point.

Given

Mike took a taxi from home to Airport. The taxi driver charged $6 as initial fees and $3 per mile and the total fare is $24.

Required

we need to find total number of miles he covered on this ride.

Explanation

Let total number of miles he travelled be x

Then total fare =6+3x

i.e

So total number of miles covered is 6 miles.

Answer:

1. x = 9°

angleA=36°

angleB=54°

2. x = 28°

angleA=28°

angleB=62°

Step-by-step explanation:

1. 6x + 4x = 90° (By ASP)

2. 2x + 6 + x = 90° (By ASP)