What is the distance between the points (-3, 1) and (1, 3)?

Answer: The perimeter is 76 inches

The graph that shows the solution to the system of equations is given by the image presented at the end of the answer.

The system of equations for this problem is defined as follows:

Replacing y = 0.5x on the second equation, the x-coordinate of the solution is given as follows:

x + 2(0.5x) = -8

x + x = -8

2x = -8

x = -4.

The y-coordinate of the solution is given as follows:

y = 0.5(-4)

y = -2.

Hence the graph will show the two lines intersecting at the point (-2,-4).

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The number of local guests who visited the zoo is 600.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of visitors = 750

The percentage that visited the zoo.

= 100% - 20%

= 80%

Now,

The number of local guests who visited the zoo.

= 80% of 750

= 80/100 x 750

= 600

Thus,

The number of local guests who visited the zoo is 600.

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Answer:

3x-9+4x+3=7x-6=29

7x=35

x=5

Step-by-step explanation:

The number of people who finished the race is 18.

In the first half of the race, 2/5 of them dropped out. The remaining will be:

= 1 - 2/5 = 3/5

In the second half of the race, 5/8 of the remaining runners dropped out. This will be:

= 5/8 × 3/5

= 3/8

Therefore, this that finished the race will be:

= 80 - [(2/5 + 3/8) × 80]

= 80 - (31/40 × 80)

= 80 - 62

= 18

The concept of fractions was used

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Answer: The general solution of the differential equation for f₁(t) = cos(2t)` is,

y(x) = \(y_h(x) + y_p1(x)\)

= \(c1e2x + c2e-3x - (1/10) cos(2t) - (3/20) sin(2t)\)`.

The general solution of the differential equation for

`f₂(t) = \(t + e4t\) is

y(x) = \(y_h(x) + y_p2(x)\)

= \(c1e2x + c2e-3x - (1/4) t - (1/8) e4t`\).

Step-by-step explanation:

The given differential equation can be written as `

y" + y' – 6y = f(t).

The differential equation of the second-order with the given general solution is

y(x) = \(c1e3x + c2e-2x\).

Now we are required to find the general solution of the differential equation for

`f(t) = cos(2t)` and `f(t) = t + e4t`.

Part A:

f(t) = cos(2t)

Firstly, let's solve the homogeneous differential equation `

y" + y' – 6y = 0` and find the values of c1 and c2.

The characteristic equation is given by `

m² + m - 6 = 0`.

By solving this equation, we get `m₁ = 2` and `m₂ = -3`.

Therefore, the solution of the homogeneous differential equation is `

\(y_h(x) = c1e2x + c2e-3x\)`.

Now, let's find the particular solution of the given differential equation. Given

f(t) = cos(2t)`,

we can write

f(t) = (1/2) cos(2t) + (1/2) cos(2t)`.

Using the method of undetermined coefficients, the particular solution for `f₁(t) = (1/2) cos(2t)` is given by

`\(y_p1(x)\) = Acos(2t) + Bsin(2t)`.

By substituting the values of `y_p1(x)` in the differential equation, we get`

-4Asin(2t) + 4Bcos(2t) - 2Asin(2t) - 2Bcos(2t) - 6Acos(2t) - 6Bsin(2t) = cos(2t)

By comparing the coefficients of sine and cosine terms, we get

-4A - 2B - 6A = 0` and `4B - 2A - 6B = 1

Solving the above two equations, we get

A = -1/10 and  B = -3/20.

Therefore, the particular solution for `f₁(t) = (1/2) cos(2t)` is given by

\(y_p1(x)\)= (-1/10) cos(2t) - (3/20) sin(2t)`.

Now, let's find the particular solution for

`f₂(t) = (1/2) cos(2t)`.

Using the method of undetermined coefficients, the particular solution for `f₂(t) = t + e4t` is given by

\(y_p2(x)\) = At + Be4t`.

By substituting the values of `\(y_p2(x)\)` in the differential equation, we get `

-2At + 4Ae4t + 2B - 4Be4t - 6At - 6Be4t = t + e4t`

By comparing the coefficients of t and e4t terms, we get

-2A - 6A = 1 and 4A - 6B - 4B = 1

Solving the above two equations, we get `A = -1/4` and `B = -1/8`.

Therefore, the particular solution for `f₂(t) = t + e4t` is given by `

\(y_p2(x)\) = (-1/4) t - (1/8) e4t`.

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Answer:

100,000

Step-by-step explanation:

The 9 is in the hundredth thousand place

Answer:

just apply d formular 4 each

lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular

for median=£f/2 since it's odd number add +1

=£f+1/2

=23+1/2

=24/2

=12 .the 12 would fall on 69 inches using the cumulative method

mode is 66 since it's the number with the highest frequency

To calculate the amount of money you will have in the account after 3 years with an interest rate of 6% per year, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A = the final amount

P = the principal amount (initial deposit)

r = the interest rate per period (in decimal form)

n = the number of periods

In this case:

P = $3,875

r = 6% per year, or 0.06 (in decimal form)

n = 3 years

Substituting the values into the formula:

A = 3,875(1 + 0.06)^3

Calculating:

A = 3,875(1.06)^3

A = 3,875(1.191016)

A ≈ 4,614.76

After rounding to two decimal places, you will have approximately $4,614.76 in the account after 3 years.

Based on the historical data provided by Glassboro Associates regarding the sales of electric cars, a forecast can be developed using the time-series analysis method, specifically, the moving average method.

The moving average method is a time-series analysis method that involves taking the average of the most recent n data values in a time series to forecast future values. This method assumes that future values are based on past behavior.

The formula for the moving average method is:

Forecast = (n1 + n2 + n3 + ... + nn) / n

Where n = the number of periods to be averaged, and n1, n2, n3, ... nn = the most recent n data values in the time series.

The historical data is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 125 151 159 2 118 130 168 3 208 227 221 4 198 200 273

To develop a forecast, we will use the moving average method with n = 4. We will use the most recent four data values in each year to calculate the moving average forecast.

The forecast for each quarter of Year 1, Year 2, and Year 3 is shown in the table below:

Quarter Year 1 Year 2 Year 3 1 - - - 2 - - - 3 - - - 4 175.25 187.0 205.5

Therefore, the forecasted sales for Year 1, Year 2, and Year 3 are as follows:

Year 1 = 175.25 + 187.0 + 205.5 + 159 = 727.75

Year 2 = 187.0 + 205.5 + 159 + 168 = 719.5

Year 3 = 205.5 + 159 + 168 + 273 = 805.5

The forecast for Glassboro Associates' sales of electric cars over the next three years using the moving average method with n = 4 are 727.75, 719.5, and 805.5 for Year 1, Year 2, and Year 3, respectively.

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Answer:

\( = 2500\)

Step-by-step explanation:

2530 rounded to 2 significant figures

\( = 2500\)

To correct 2530 to 2 significant figures, we identify the first two non-zero digits from the left which are 2 and 5 and then replace the subsequent digits with zeros, giving an answer of 2500.

The question is asking to provide the number 2530 correct to 2 significant figures. Significant figures involve looking at a number and considering only the digits that matter. Begin by identifying what the two significant figures in the number 2530 are, which are the first two non-zero digits from the left. These are 2 and 5. Once we have identified these two significant figures, we replace the subsequent numbers with zeros. Therefore, 2530 correct to 2 significant figures is 2500.

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Answer:

Step-by-step explanation:

Answer:

Whats the question??

Step-by-step explanation:

Answer:

joe replicates us currency mwah

Step-by-step explanation:

Step-by-step explanation:

let f(x) be y

y=x+2

make x the subject of the formula

x=2-y

Answer:

Step-by-step explanation:

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

The triangle is a scalene triangle.

The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:

   x + x + 10 + 2x - 6 = 180

This simplifies to,

   4x + 4 = 180,

   or 4x = 176, or x = 44

Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.

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Answer:

-4×(-5)=20

have a nice day <3

Answer:

raisins  = 97.14 gm

Step-by-step explanation:

raisins are  2 out of   ( 2+5)  = 2/7 ths of the total wt

2/7 * 340 = 97.14 gm

The maximum distance the mouse can jump is 30.0029 ft. This means that the mouse can jump 30.0029 feet horizontally.

Given that y=−0.2222x2+1.3333x represents how high (in feet) the mouse can jump for a relatively long hop modeled, where x represents how far (in feet) the mouse can jump.

To determine how high the mouse can jump, we are given the equation of the hop as; y = −0.2222x² + 1.3333x

We will use the given equation to find out the maximum height attained by the mouse. We are given that a relatively long hop can be modeled by y=−0.2222x²+1.3333x.

Using the quadratic formula, we can determine the maximum height by evaluating the value of x using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft

We can substitute this value into the equation to determine how high the mouse can jump.

y = −0.2222(30.0029)² + 1.3333(30.0029)≈ 5.00 ft.

Therefore, the maximum height the mouse can jump is 5.00 ft.

To determine how far the mouse can jump horizontally, we need to determine the value of x that maximizes y.

We can achieve this using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft.

Therefore, the maximum distance the mouse can jump is 30.0029 ft.

This means that the mouse can jump 30.0029 feet horizontally.

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Answer:

Step-by-step explanation:

30/10x = 3x

Answer:

\(30\div10x\)

Step-by-step explanation:

Using x for the unknown number, "the quotient of thirty and ten times a number" is written as:

\(30\div10x\)

Answer:

0 is a rational, whole, integer and real number.

Step-by-step explanation:

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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In triangle ABC, a perpendicular bisector AD is drawn on BC. We can see that triangle ABD and triangle ACD are right-angled triangles. The missing side x is 9√3/4.

A triangle is a three-sided polygon with three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified in several ways based on their sides and angles.

There are also several important properties of triangles, such as the Pythagorean theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse). Triangles also have several geometric formulas associated with them, such as the area formula (1/2 * base * height) and the perimeter formula (sum of all sides). Triangles are an important concept in geometry and have many practical applications in fields such as engineering and physics.

In triangle ABC, a perpendicular bisector AD is drawn on BC. We can see that triangle ABD and triangle ACD are right-angled triangles.

Using trigonometry, we can write the following equations:

sin(60) = BD/AB (Using triangle ABD)

cos(60) = CD/AC (Using triangle ACD)

We know that AB = x and CD = 3. We need to find x.

Rearranging the first equation, we get:

BD = AB * sin(60)

Substituting the value of BD in the second equation, we get:

cos(60) = CD/AC

cos(60) = 3/2BD

cos(60) = 3/2(AB * sin(60))

cos(60) = 3/2(x * √3/2)

cos(60) = 3√3/4x

Multiplying both sides by 4x/3√3, we get:

4x/3√3 * cos(60) = 3

Simplifying, we get:

x = 9√3/4

Therefore, the missing side x is 9√3/4.

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Answer:

option 3

Step-by-step explanation:

Hope this helps dude

Answer:

20, 24

Step-by-step explanation:

smaller:   x

  larger:  2x - 16

x + 2x - 16 = 44

3x -16 = 44

3x = 60

x = 20

smaller:   x = 20

  larger:  2x - 16 = 2(20) - 16 = 24

By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)

In this problem we have three ordered pairs to be checked on a given function by direct evaluation, a ordered pair lines on the curve of function if and only if the x-value of the ordered pair leads to the y-value by evaluating in the function. Now we proceed to evaluate each of the three points at the function presented in the statement:

(x, y) = (1, 4)

h(1) = - 2 · 1²

h(1) = - 2

By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)

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Answer:

No table shown

Step-by-step explanation:

When x = 2, the value of d/dx [f-1(x)] is: 1 / 4

We have to find the value of d/dx [f-1(x)] when x = 2, given that f(x) = x3 + x and f-1(2) = 1.

To find the value of d/dx [f-1(x)] when x = 2, we will use the formula for the derivative of the inverse function.

The formula is given by:d/dx [f-1(x)] = 1 / f′(f-1(x))Where f′(x) is the derivative of the function f(x).

Therefore, we first need to find the derivative of the function f(x).f(x) = x3 + x

Taking the derivative with respect to x, we get:f′(x) = 3x2 + 1

Now we can use the formula to find the derivative of the inverse function:

f-1(2) = 1f′(f-1(2))

= f′(1)

= 3(1)2 + 1

= 4d/dx [f-1(x)]

= 1 / f′(f-1(x))

= 1 / 4

When x = 2, the value of d/dx [f-1(x)] is:1 / 4

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Answer:

a tree was 5 meters tall. a person used a chainsaw to cut 1/4 of the tree. how tall is the tree now?

also, please don't copy the answer word for word.