write 2³ in simplified form​

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Answer:

1. <

2. >

3. >

4. >

5. <

6. <

7.  <

8. <

9. <

10.  >

Step-by-step explanation:

good luck!

Answer:

I will just answer so if the other person is right you can give them brainliest :)

Step-by-step explanation:

The height of the trapezoid needs to be 30/11 units in order for the trapezoid to have area 30.

To find the height of the trapezoid, we can use the formula for the area of a trapezoid, which is:

A = (1/2)h(b1 + b2)

where A is the area of the trapezoid, h is the height, b1 and b2 are the lengths of the parallel bases.

We know that the lengths of the parallel bases are 8 and 14, and we want the area to be 30. Substituting these values into the formula, we get:

30 = (1/2)h(8 + 14)

Simplifying the right-hand side, we get:

30 = 11h

Dividing both sides by 11, we get:

h = 30/11

Therefore, the height of the trapezoid needs to be 30/11 units in order for the trapezoid to have area 30.

To see why this works, we can visualize the trapezoid as a rectangle with a smaller right triangle on top. The height of the rectangle is equal to the height of the trapezoid, and the width is equal to the average of the lengths of the bases, which is (8+14)/2 = 11. The area of the rectangle is therefore 11h, and the area of the triangle on top is (1/2)bh, where b is the difference between the lengths of the bases, which is 14-8 = 6. The total area of the trapezoid is the sum of the area of the rectangle and the area of the triangle, which is:

A = 11h + (1/2)(6)(h) = 11.5h

Setting this equal to 30 and solving for h, we get the same result as before:

11.5h = 30

h = 30/11

Therefore, the height of the trapezoid needs to be 30/11 units in order for the trapezoid to have area 30.

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Answer: -250000

Step-by-step explanation:

Sum of arithmetic terms = n/2[2a + (n - 1)d],

where 'a' is the first term,

'd' is the common difference between two numbers,

and 'n' is the number of terms.

'a' = -1

'd' = -2

'n' = 500

plug and chug

(500)/2[2(-1) + ((500)-1)*(-2)] =

250[-2 + -998] =

250[-1000] =

-250000

Answer:

490,000 grams

Step-by-step explanation:

To convert from kilograms to grams - multiply the number of kilograms by 1000. (there are 1000 grams in a kilogram)

\(490 * 1000 = 490,000\)

Answer:

490000

Step-by-step explanation:

1 kg : 1000 gram

So,

490 kilograms : 490 ×1000 grams

: 490000 grams

Answer:

Step-by-step explanation:

y=7x is the equation that shows how the total cost of the party favors, y, depends on the number of guests, x

Two or more expressions with an Equal sign is called as Equation.

Given,

Andrew has picked out some party favors.

He calculates that they will cost $7 per guest.

We need to find the equation that shows how the total cost of the party favors, y, depends on the number of guests, x

So y=7x where y is the total cost and x is the number of guests and 7 is the cost per guest.

If there are 2 guests then the total cost will be 14.

Hence y=7x is the equation that shows how the total cost of the party favors, y, depends on the number of guests, x

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Answer:

nose

Step-by-step explanation:

dios porque nose ayudame dios mio

Answer:

b = 9 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

here h = 2b , then

\(\frac{1}{2}\) × b × 2b = 81

\(\frac{1}{2}\) × 2b² = 81

b² = 81 ( take square root of both sides )

b = \(\sqrt{81}\) = 9 cm

Answer:

1) The amount to be paid as insurance if the revenue increases is $937,000

2) Yes because the total value of the risk insured and the likelihood of the occurrence of the risk both increases

Step-by-step explanation:

1) The given amount in revenue of the Diablo's Domain = $250,000,000

The amount the company paid as insurance  = $750,000

The equivalent amount the company paid as insurance = $3 for every $1,000

The percentage amount in revenue the park revenue increases by = 25%

Therefore, the new amount in revenue = 1.25 × $250,000,000 = $312,500,000

The amount to be paid as insurance if the revenue increases = $315,500,000 × 3/1000 = $937,5000

The amount to be paid as insurance if the revenue increases = $937,000

2) It is reasonable for the insurance cost to increase proportionally when the items insured which leads to the increase in revenue increases because the value of the risk insured which is the event of settlement for losses increases as well as the probability of the risk occurring also increases.

Answer:

Step-by-step explanation:

OPTIONS R NOT HERE

HOPE IT HELP

Answer: i didn't get enough detail but you can use this to help

Step-by-step explanation:

Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.  

Irrational numbers are expressed usually in the form of R\Q, where the backward slash symbol denotes ‘set minus’. it can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.

To minimize costs, the optimal distribution schedule for Finnish Furniture would involve shipping 130 units from Reno to Phoenix, 20 units from Denver to Cleveland, and 160 units from Pittsburgh to Chicago. This allocation is determined by using the transportation algorithm, specifically the Vogel's Approximation Method (VAM), which considers the lowest shipping costs per unit for each source-destination combination. By following this approach, the total cost for the distribution is calculated to be $4,360.

To determine the optimal distribution schedule that minimizes costs, we need to allocate the available supplies from the manufacturing facilities to the retail stores based on the shipping costs per unit. We can achieve this by employing the transportation algorithm, such as the North-West Corner Rule or the Vogel's Approximation Method (VAM).

Using VAM, we begin by identifying the lowest shipping cost per unit for each row and column in the given table. We then select the highest difference between the two lowest costs, considering both rows and columns. This difference indicates the most cost-effective allocation.

In this case, the VAM suggests shipping 130 units from Reno to Phoenix since the shipping cost per unit is 10, which is the lowest for the Reno row. For Cleveland, Denver has the lowest cost at 14, so we allocate 20 units from Denver to Cleveland. Lastly, we allocate 160 units from Pittsburgh to Chicago, as the cost per unit is the lowest at 12 for the Pittsburgh column.

Now, let's calculate the total cost. The cost of shipping 130 units from Reno to Phoenix is 130 x 10 = $1,300. Shipping 20 units from Denver to Cleveland costs 20 x 14 = $280. Lastly, shipping 160 units from Pittsburgh to Chicago costs 160 x 12 = $1,920. Adding these costs together gives us a total cost of $1,300 + $280 + $1,920 = $4,360.

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Answer:

-20x       87y

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Answer:

x=60, y=30

Step-by-step explanation:

4x-7y=30

4x-5y=90

Subtract the equations

4x-7y=30-4x-5y=90

=2y=60

Solve 2y=60

Divide both sides by 2

2y/2=60/2

Simplify;

y=30

For 4x-7*30=30 for x

4x-7y*30=30

Multiply the numbers:7*30=210

4x-210=30

Add 210 to both sides

4x-210+210=30+210

Simplify;

4x=240

Divide both sides by 4

4x/4=240/4

Simplify

x=60

The solutions to the system of equations are:

x=60, y=30

Hope this helped!!!

Based on the given information and performing a one-sample t-test, the conclusion is that if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis.

Given:

Sample mean (x') = 30 km per litre

Sample standard deviation (s) = 3.5 km per litre

Sample size (n) = 50

Significance level (α) = 0.05 (5%)

Null hypothesis \((H_0)\): The mean petrol consumption of the new car is equal to or higher than that of the existing car.

Alternative hypothesis \((H_1)\): The mean petrol consumption of the new car is lower than that of the existing car.

We'll calculate the test statistic (t-value) and compare it with the critical t-value.

The formula for the t-value is:

t = (x' - μ) / (s / √n)

where μ is the population mean (mean petrol consumption of the existing car).

First, we need to calculate the critical t-value from the t-distribution table. Since we have a significance level of 0.05 and (50 - 1) degrees of freedom, the critical t-value for a one-tailed test is approximately -1.677.

Now, let's calculate the t-value:

t = (30 - μ) / (3.5 / √50)

To reject the null hypothesis, the t-value should be less than the critical t-value.

Simplifying the equation:

t = (30 - μ) / (0.495)

To find the critical value, we compare it with the calculated t-value:

-1.677 > (30 - μ) / (0.495)

Multiplying both sides of the inequality by 0.495:

-0.8294 > 30 - μ

Rearranging the inequality:

μ > 30 + 0.8294

μ > 30.8294

Therefore, if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean petrol consumption of the new car is lower than that of the existing car.

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Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

According to the information, the value of the missing angle would be 206°, in a quadrilateral.

To calculate the value of the missing angle we must take into account that the angles of a quadrilateral must add up to 360°. On the other hand, the angles of a triangle must sum to 180°.

According to the previous information, if it is a triangle, then we must add the angles that we know and then subtract it from 180°.

On the other hand, if it is a quadrilateral we must add the angles and subtract them from 360°.

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The cost of 15 pens in INR, considering the given exchange rate, is 2250 INR which is obtained by using arithmetic operations.

Sunday bought 10 pens at a cost of $5 each. To find the cost of 15 pens in INR, considering the exchange rate of $1 being equal to 30 INR, the total cost can be calculated by multiplying the cost per pen by the number of pens and then converting it to INR.

The cost of a single pen is given as $5. To calculate the cost of 15 pens, we can multiply the cost per pen by the number of pens:

Cost of 15 pens = Cost per pen * Number of pens

Cost of 15 pens = $5 * 15 = $75

To convert the cost from dollars to INR, we use the given exchange rate of $1 being equal to 30 INR. Thus, we can multiply the cost in dollars by the conversion rate:

Cost in INR = Cost in dollars * Conversion rate

Cost in INR = $75 * 30 = 2250 INR

Therefore, the cost of 15 pens is 2250 INR.

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The complete question is:

Sunday bought 10 pens, and a pen cost $5 dollars. What is the cost of 15 pens in INR, if $1 is 30 INR?

Answer:

x - 40 degree... I am sure

There is no unique solution for the given system of equations. It has infinite solutions.

Given system of equations is:

3x₁x₂ - 2x = 62x₁x₂ + x = 6 ₂ - 3x₃ = -1

Using Gaussian elimination with back-substitution method to solve the system as follows:

Step 1: To eliminate the x variable in equation 1, multiply the second equation by 3 and subtract it from the first equation.

3x₁x₂ - 2x = 63(2x₁x₂ + x = 6) --- 9x₁x₂ - 2x = 18 - 2x = -1 + 3x₃-3x₃ + 2x = 1  x = 1 + 3x₃

Step 2: To eliminate x variable in the equation 2, multiply the first equation by 2 and subtract it from the second equation.

2(9x₁x₂ - 2x = 18) --- 18x₁x₂ - 4x = 36 - 2x = -1 + 3x₃-3x₃ + 2x = 1  x = 1 + 3x₃

Equation (1) is 3x₁x₂ - 2x = 6

Substituting the value of x in equation (1) we have:3x₁x₂ - 2(1 + 3x₃) = 63x₁x₂ - 2 - 6x₃ = 6

Add 2 to both sides3x₁x₂ - 6x₃ = 8

Divide the equation throughout by 3.

Thus, we have:x₁x₂ - 2x₃ = 8/3

Hence, the solution is (x₁, x₂, x₃) = (x₁, x₂, 1 + 3x₃) = (x₁, 8/3 + 2x₃, x₃) using parameter x₃.

Note: There is no unique solution for the given system of equations. Hence, it has infinite solutions.

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Answer:

5/12

Step-by-step explanation:

There is a total of 12 bags,  5 of which are bbq

P ( bbq) = number of bbq/ total

             = 5/12

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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The volume of the resulting solid is 3,280.953 cm3.

The volume of the resulting solid is calculated by subtracting the volume of the inner sphere (the hole) from the volume of the outer sphere (the ball). The volume of a sphere is calculated by the formula V=4/3πr3. Therefore, the volume of the outer sphere is V1=4/3π(13)3=4,714.286 cm3. Similarly, the volume of the inner sphere is V2=4/3π(7)3=1,433.333 cm3. Subtracting V2 from V1 gives the volume of the resulting solid as V3=4,714.286 - 1,433.333=3,280.953 cm3. Therefore, the volume of the resulting solid is 3,280.953 cm3.

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The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:

\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)

To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.

For the square root of y to be real, y must be non-negative. That is, y ≥ 0.

For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:

\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)

This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.

In interval notation, we can write:

Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}

To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.

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Answer:

Yearly fee of $48 is better

Step-by-step explanation:

It is obvious. We know that a year have 12 months so if we compare between the $30 per months deal (which is $360 a year when we multiple it with 12) and the $48 a year deal, the difference is $312 which is a lott.

If Maria only want to use it for a month then its fine but if she want to use it more than 1 month, she definitely should choose the no 2 deal because if she even only rent it for 2 months using the no 1 deal ($30+$30=$60), the no 2 deal ($48) is far more better with a $12 difference.

Part A: Just like the top we know that its costs $34 per month and we need to know how much it would costs for 12 months/a year. So we just have to multiple it with 12=$408. Now which is better $495 or $408? Of course its $408 right? Maria could save $87 with renting the trombone than buying the trombone.

Explanation:

We were given the equation:

The slope-intercept is represented by:

Rewriting the equation into its slope-intercept form, we have:

Therefore, the equation in slope-intercept is: y = -(8/3)x + 4

We will now input assumed values for "x" to obtain corresponding y-values. We have:

We will proceed to plot these points on the graph, we have:

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

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