Which equation is a point slope form equation for line AB?


y+1=−2(x−6)

y+2=−2(x−5)

y+6=−2(x−1)

y+5=−2(x−2)

The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

Read more about equations at

brainly.com/question/148035

#SPJ1

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

To know more about nominal, visit:

https://brainly.com/question/27994820

#SPJ11

Answer:

- 4 hope this helps i think its correct

Step-by-step explanation:

Answer:

The answer is add 7x.

Step-by-step explanation:

When the first step is to add 10 to both sides :

\( - 8 - 7x = - 5x - 10\)

\( - 8 - 7x + 10 = - 5x - 10 + 10\)

\( - 7x + 2 = - 5x\)

Next, you have to add 7x to both sides to eliminate -7x on the left side :

\( - 7x + 2 = - 5x\)

\( - 7x + 2 + 7x = - 5x + 7x\)

\(2 = 2x\)

Answer:

add 7x

Step-by-step explanation:

This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.

The required ratio of the time to rotate first and next 2 revolution is given by option 2. (√2+1) : 1.

Merry go round starts from rest.

Let us assume that the initial angular velocity and displacement are zero. Final angular velocity after 2 revolutions is ω.

This implies,

ω₀ = 0 rad/s.

For first two revolutions of the merry go round we have,

θ = 2×2π rad

⇒ θ = ω.t₁ + 1/2 × α × t₁²

⇒ 2×2π = 0×t₁ + 1/2 × α × t₁²

⇒t₁² = 8π/α

⇒ t₁ = √(8π/α)

For first four revolutions of the merry go round we have,

θ = 4×2π rad

⇒ θ = ω.t₂ + 1/2 α.t₂²

⇒ 4×2π = 0×t₂ + 1/2 × α × t₂²

⇒ t₂² = 16π/α

⇒t₂ = √(16π/α)

Time taken for 3rd and 4th revolution of the merry go round is equals to,

t₃ = t₂ - t₁

Substitute the values we get,

⇒ t₃ = √(16π/α) - √(8π/α)

⇒t₃ = (√2-1) √(8π/α)

Ratio of time to rotate first 2 revolutions and next 2 revolutions is written as ,

t₁/t₃ = √(8π/α) / [(√2-1)√(8π/α)]

⇒ t₁/t₃  = 1/(√2-1)

Multiply and divide by the conjugate of √2-1 is equals to,

⇒ t₁/t₃  = 1/(√2-1) × (√2+1)/(√2+1)

⇒ t₁/t₃  = √2+1

Therefore, ratio of time to rotate first 2 revolutions & next 2 revolutions is  equals to option 2. (√2+1) : 1.

learn more about ratio here

brainly.com/question/29432792

#SPJ4

The above question is incomplete, the complete question is:

A merry go round rotates from rest with constant angular acceleration `α` . Ratio of time to rotate first 2 revolutions & next 2 revolutions is

1) 1:1

2) (√2+1):1

3) √2:1

4) 1:√2

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

  = 2.5

  = 7.5

2nd difference,

   = 5

  = 5

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

\(\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3\)

\(\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0\)

\(cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1\)

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

0.3 ← has 3 in the tenths column , then

0.3 = \(\frac{3}{10}\) ← asa fraction in simplest form

The domain of the given graph is (-4,4]

The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values.

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

Hence from the graph we get the domain as   (-4,4]

Learn more about Domain here:

brainly.com/question/26098895

#SPJ9

The difference between two observation concerning the values are  68% of observation lie in between 468 and 492 , then 95% of observation lie in 456 and 504.

The normal distribution is considered a continuous probability distribution that has a  different bell-shaped probability density function. Therefore, the mean of a normal distribution is the center of its symmetric bell-shaped curve.


Therefore it is given ,  a normal distribution with mean of  480 and standard deviation 12
Lower limit = Mean - Standard deviation = 480 - 12 = 468

Upper limit = Mean + Standard deviation = 480 + 12 = 492

Following the same procedure then the results to evaluate for 95%
The difference between two observation concerning the values are  68% of observation lie in between 468 and 492 , whereas 95% of observation lie in 456 and 504.

To learn more about standard deviation
https://brainly.com/question/475676
#SPJ4

Answer:

8

Step-by-step explanation:

2/3 *4/4 = 8/12

Answer:

8

Step-by-step explanation:

You can do this like an equivalent fraction.

What fraction with denominator 12 equals 2/3?

To change the denominator 3 into a 12, you multiply 3 by 4.

Multiply 2 by 4 also.

2/3 = 8/12

x = 8

You can also solve this as an equation.

2/3 = x/12

Multiply both sides by 12.

12 * 2/3 = x/12 * 12

24/3 = x

x = 8

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

Read more about Equivalent fractions at: https://brainly.com/question/17220365

#SPJ1

The value of x if the measure of angle ACB = (10x+15) for the square ABCD is 7.5.

Given a figure ABCD is a square.

For a square, each of the internal angle measures 90° and the total sum of the angles is 360°.

So, m ∠ACB = 90°

It is given that,

m ∠ACB = 10x + 15

Equating,

10x + 15 = 90

10x = 75

x = 7.5

Hence the value of x is 7.5.

Learn more about Angles here :

https://brainly.com/question/31186705

#SPJ1

To find the cost function, we integrate the marginal cost function with respect to x: ∫(dC/dx) dx = ∫(3/(16x + 3)) dx. The cost of producing 80 units is approximately $745.33.

To integrate this expression, we can use the natural logarithm function:

∫(3/(16x + 3)) dx = 3∫(1/(16x + 3)) dx = 3/16 ∫(1/(x + 3/16)) dx

Using a substitution, let u = x + 3/16, then du = dx, we have:

3/16 ∫(1/u) du = 3/16 ln|u| + C1 = 3/16 ln|x + 3/16| + C1

Now, we need to find the constant term C1 using the given information that when x = 17, C = 140:

C = 3/16 ln|17 + 3/16| + C1 = 140

Simplifying this equation, we can solve for C1:

3/16 ln(273/16) + C1 = 140

ln(273/16) + C1 = 16/3 * 140

ln(273/16) + C1 = 746.6667

C1 = 746.6667 - ln(273/16)

Therefore, the cost function C is: C = 3/16 ln|x + 3/16| + (746.6667 - ln(273/16))

To find the cost of producing 80 units, we substitute x = 80 into the cost function: C = 3/16 ln|80 + 3/16| + (746.6667 - ln(273/16))

Calculating this expression, we can find the cost:

C ≈ 3/16 ln(1280/16) + (746.6667 - ln(273/16))

C ≈ 3/16 ln(80) + (746.6667 - ln(273/16))

C ≈ 3/16 (4.3820) + (746.6667 - 2.1581)

C ≈ 0.8175 + 744.5086

C ≈ 745.3261

The cost of producing 80 units is approximately $745.33.

Learn more about cost function here: https://brainly.com/question/32591145

#SPJ11

Answer:

b

Step-by-step explanation:

6400+2448+1600+75=10523

32,000-10523=21477

Answer:

B. Xavier's take-home pay is $21, 477

Step-by-step explanation:

In order to solve this question we have to substract all costs (except the annual salary) form the annual salary. And so we get.....

$32 000 - $6400 - $2448 - $1600 - $75 = $21477

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

\(\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}\)

Therefore;

\(\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}\)

The height of the kite above the, \(k_h\) ≈ 66.314 feet

Learn more about trigonometric ratios here:

https://brainly.com/question/9085166

Answer:

Answer is $3

Step-by-step explanation:

$3 x 0.75 (75%) = $2.25

$3 - $2.25 = $0.75

The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows 30 ÷ (5 + 7) = 30 ÷ 12 = 2.5 Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above. response and does not meet the requirement of being.

The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows:30 ÷ (5 + 7) Multiplication, division, addition, and subtraction are the four basic mathematical operations. Parentheses are often used in numerical expressions to indicate the order of operations, also known as the order of precedence. According to the order of operations, the addition of 5 and 7 must be done first, followed by division.

The expression is evaluated as follows:30 ÷ (5 + 7) = 30 ÷ 12 = 2.5  Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above. response and does not meet the requirement of being, The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows:30 ÷ (5 + 7) Multiplication, division, addition, and subtraction are the four basic mathematical operations. Parentheses are often used in numerical expressions to indicate the order of operations, also known as the order of precedence. According to the order of operations, the addition of 5 and 7 must be done first, followed by division. Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above.

To know more about numerical visit:

https://brainly.com/question/30438048

#SPJ11

Therefore, the investment is worth approximately $33201.12 at the end of the given time period (10 years).

Time (t) = 10 yearsInterest rate

(r) = continuous compounding

The continuous compounding formula is given by:

A = PertWhere

A = final amount

P = principal amount

r = annual interest rate

t = timee = Euler's number (2.71828)

On substituting the given values in the formula, we get,

A = Pe^(rt)

A = 12000e^(0.10×10)

A = 12000e

A = 12000×2.71828^1.0

A = 12000×2.71828

A ≈ $33201.12

Given,

P = $12000

t = 10 years

r = continuou

This is the base of the natural logarithm and it is equal to approximately 2.71828On substituting the given values, we get,

A = 12000e^(rt)

A = 12000e^(0.10 × 10

)A = 12000e^1

A ≈ $33201.12

To know more about investment visit:

https://brainly.com/question/12034462

#SPJ11

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

We can make 37 , 3-letter strings  from the letters a, b, c, and d.

1 . AAA    - This word could be written in 1 way.

2. AAB, AAC, AAD  

3.ABB, ACC, ADD

4. ABC, ABD, ACD      

Total = 1+9+9+18

        = 37

So, we can make 37  3-letter strings  from the letters a, b, c, and d by applying the method called permutation.

To learn more about permutation, refer:

https://brainly.com/question/1216161

#SPJ1

The coefficient of determination, also known as R-squared, is a statistical measure that represents the proportion of the variance in a dependent variable that is predictable from an independent variable or variables. It is used to evaluate the goodness of fit of a regression model. The formula for calculating the coefficient of determination is:

R-squared = 1 - (SSres / SStot)

where SSres is the sum of squares of residuals and SStot is the total sum of squares.

The sum of squares of residuals is calculated by subtracting each predicted value from its corresponding actual value, squaring the difference, and adding up all the squared differences. The total sum of squares is calculated by subtracting the mean of the dependent variable from each actual value, squaring the difference, and adding up all the squared differences.

The coefficient of determination ranges from 0 to 1, with 0 indicating that the model does not explain any variability in the dependent variable and 1 indicating that the model explains all the variability in the dependent variable. A higher R-squared value indicates a better fit between the regression model and the data.

It is important to note that R-squared should not be used as the sole criterion for evaluating a regression model. Other factors such as statistical significance, residual plots, and out-of-sample prediction accuracy should also be considered.

To know more about coefficient of determination refer here:

https://brainly.com/question/31891074#

#SPJ11

The value of the standard deviation depends on the value of the mean.

As per the given data, we have to determine that the value of the standard deviation depends on the value of the mean

Yes, the value of the standard deviation depends on the value of the mean.

Because you have to know the mean to calculate the standard deviation.

The size of the standard deviation of a data set depends on what the mean is because the calculation of the mean is essential for calculating Standard Deviation.

The standard deviation determines how much the values deviate from the mean.

Besides, Standard deviation in simple terms means the deviation of data from the Mean.

The most popular way to assess dispersion is standard deviation, which is based on all values. As a result, even a small change in one value can modify the standard deviation's value.

Hence, Standard Deviation depends on the Mean.

For more questions on Standard Deviation and Mean

https://brainly.com/question/11965406

#SPJ4

The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

To learn more about plane : visit

https://brainly.com/question/28247880

#SPJ4

The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

Given, that ratio of rice between max, victor and roman

Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.

The total ratio of the amounts of rice is 3+2+4 = 9,

So each "part" of the ratio is 1/9.

If Victor gives 1/4 of his rice to Roman, he will give away

(1/4) × (2x) = 1/2x rice to Roman, and he will be left with

(3/4) × (2x)

= 6/4x

= 3/2x rice.

Roman will receive 1/2x rice from Victor and will have

4x + 1/2x = 9/2x rice in total.

So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.

The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).

To simplify this ratio, we can multiply all parts by 2 to get:

6x:3x:9x

And then divide all parts by 3x to get:

2:1:3

Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

Know more about Ratio,

brainly.com/question/1504221

#SPJ12

The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.

Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.

https://brainly.com/question/32531170

#SPJ12

Answer:

1/4

Step-by-step explanation:

Because 12+13 is 25 and 100 divided by 25 is 4 so its 1/4 hope this helps! :)

\(\rightarrow\)Total number of red and green balloons \(\sf{= 12+13}\)

\(\sf{= 25}\)

\(\rightarrow\)Fraction of both green and red balloons \(\sf{= \frac{25}{100}}\)

\(\sf{= \frac{1}{4}}\)

\(\rightarrow\)Fraction of not green and red balloons \(\sf{=\:1- \frac{1}{4}}\)

\(\sf{= \frac{3}{4}}\)

\(\rightarrow\) Therefore, fraction of not green and red balloons \(\sf{= \frac{3}{4}}\)

________________________________

Hope it helps you:)

Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

\( V = a^{3} \)

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

\( V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} \)

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

Since  ∠ABC ≅ ∠DBE and ∠BAC ≅  ∠BDE.

The triangles are similar by angle-angle.

The correct option is A.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

The lines DE and AC are parallel.

DE ║ AC.

And the two triangles are,

ΔABC and ΔDBE.

We know,

the similar triangles have the congruent angles.

So, ∠ABC ≅ ∠DBE

∠BAC ≅  ∠BDE.

The triangles are similar by angle-angle.

Hence, ΔABC ∼ ΔDBE.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ1