what is 2x=10 if x =2

Answer:

20

Step-by-step explanation:

To solve this question we can use a system of linear equations. The 2 equations should represent- 1) the number of total tickets sold and 2) the total amount raised. So, the two equations look like this (in this situation, let x stand for the cheaper tickets and y for the more expensive ones).

Then, there are multiple ways to solve this including graphing, elimination, and substitution. In my opinion, substitution is the best for this situation.

Firstly, isolate the y variable in the first equation

Next, plug in this value for y in the second equation

Then, solve this equation algebraically

Since x stands for the cheaper tickets, we know that 20 people bought the cheaper tickets.

The total square footage (area) of the apartment is 385 square feet.

The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.

First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is

=> 11ft * 11ft = 121 square feet.

Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is

=> 4ft * 6ft = 24 square feet.

Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is

=> 15ft * 16ft = 240 square feet.

Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is

=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.

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The dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.

Let's assume that the package has a height 'h' and a radius 'r'. The perimeter of the cross-section of a cylinder is the circumference of the circle plus the height multiplied by two, which can be written as:

Perimeter = 2πr + 2h

Given that the maximum combined length and circumference is 114 inches, we can write:

2πr + 2h + 2r = 114

Simplifying this equation, we get:

πr + h = 57 - r ----(1)

The volume of the cylinder is given by:

\(V = πr^2h\)

Now, we can use equation (1) to eliminate 'h' from the volume equation:

\(V = πr^2(57 - r - πr)\)

Expanding and simplifying this equation, we get:

\(V = πr^3 - π^2r^3/3 + 57πr^2 - 57π^2r\)

To find the dimensions of the package that maximize the volume, we need to find the value of 'r' that maximizes the volume. We can do this by taking the derivative of the volume equation with respect to 'r' and setting it equal to zero:

\(dV/dr = 3πr^2 - π^2r^2 + 114πr - 57π^2 = 0\)

Solving for 'r', we get:

r ≈ 7.8 inches

Substituting this value of 'r' back into equation (1), we can find the value of 'h':

h ≈ 21.3 inches

Therefore, the dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.

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Step-by-step explanation:

yes, it is a function.

the reason : every value of x (2, 4, -2, 0) has exactly one assigned value of y : 2 to 3, 4 to 5, -2 to -1, 0 to 1.

that is the definition of a function.

Jacob balance at the end of the 5 years with compound interest compounded quarterly is $5,671.30.

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this.

Given that Jacob has amount in his saving account (P) = $4,800

Rate of interest (r) = 3.35% annual = 0.8375% quarterly

time (t) = 5 years = 5 *4 = 20 quarters

Amount after 5 years is calculated by the formula A = P (1 + r/100)^t

⇒ A = $4,800 ( 1 + 0.8375/100 )^20

⇒ A = $4,800 ( 1 + 0.008375 )^20

⇒ A = $4,800 ( 1.008375 )^20

⇒ A = $4,800 * 1.1815

⇒ A = $5,671.30

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The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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Answer:

The month will be October again lol :)

Step-by-step explanation:

Answer:

Missing data points

Step-by-step explanation:

Given that there are 12 calendar months in a year, and there are clearly defined raining season in some areas which may last for months, following periods of low rainfall or zero precipitation, the sample should include all the months of the year so as to ensure, that the effect that causes rainy season such as the landward direction of moist air from the sea or the seaward of air during periods of dry season.

Other possible causes includes;

Heteroscedasicity

This occurs when the variability of the dependent variable is not constant with regards to the independent variable

Multiple linear regression

The relationship between rainfall and air pressure as well as other factors is a multiple linear regression

Answer:

n great than 13.

hope this isn't wrong

The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.

Given is an inequality n - 8 > 5, we need to solve it,

To solve the inequality "n - 8 > 5," you can follow these steps:

Step 1: Add 8 to both sides of the inequality to isolate the variable n.

(n - 8) + 8 > 5 + 8

n - 8 + 8 > 13

n > 13

Step 2: Simplify the inequality.

n > 13

Hence the simplified inequality is n > 13.

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The sum of the arithmetic series 7.6+6.3+5 is 18.9. This can be found using the formula Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. By substituting the given values, we get Sn = (3/2)(7.6 + 5) = 18.9.



To find the sum of a finite arithmetic series, we can use the formula Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.

In the given arithmetic series 7.6+6.3+5, we have three terms: 7.6, 6.3, and 5. The first term (a) is 7.6 and the last term (l) is 5. Since we have three terms, the number of terms (n) is also 3.

Substituting these values into the formula, we get Sn = (3/2)(7.6 + 5) = (3/2)(12.6) = 18.9. Therefore, the sum of the finite arithmetic series 7.6+6.3+5 is 18.9.

In simpler terms, we can think of the sum of an arithmetic series as the average of the first and last term, multiplied by the number of terms. So in this case, we add 7.6 and 5 to get 12.6, and then divide it by 2 to get the average of 6.3. Finally, we multiply 6.3 by 3 (since we have three terms) to get the sum of 18.9.

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Answer:

y=-x+3

Step-by-step explanation:

If you're satisfied with the answer, then please give me Brainliest.

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

-2a,  -7a

Step-by-step explanation:

Answer:

Terms whose variables (such as x or y) with any exponents (such as the 2 in x2) are the same. Examples: 7x and 2x are like terms because they are both "x".

Step-by-step explanation:

In other words, terms that are "like" each other.

Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Answer:

domain: (-4 , infinity)

range: (-1, infinity)

Step-by-step explanation:

the domain is all x values and range is all y values

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer: you need 20 teaspoons of red paint

The gas pump dispenses gas at a rate of 5 litres per minute, it will take the student 52/5=10.4 minutes to fill up his tank.

To solve this problem, we need to find the amount of gas the student's truck needs to reach a full tank. Since the truck has a capacity of 60 litres, we can set g(20)=60 and solve for x. Plugging in x=20, we get g(20)=60-(4/5)(20)=60-8=52. This means the student's truck needs 52 litres of gas to reach a full tank.

Since the gas pump dispenses gas at a rate of 5 litres per minute, it will take the student 52/5=10.4 minutes to fill up his tank. However, since time cannot be a decimal value, we can round this up to 11 minutes. Therefore, the total time the student spends at the gas station filling up his tank is 11 minutes.

Complete Question:

A calculus student suspects his truck has a gas leak, and thus decides to keep track of his fuel consumption as he drives his friends out to a campsite 20 km outside of town for the weekend. after checking the amount of gas in the tank at several points during the trip, he can estimate a function for the amount of gas remaining in the tank (in litres) as a function of the distance travelled (in kilometres). The function is given by g(x)=60-(4/5)x for x>0. On the way back home, the student stops at a gas station to fill up his tank. He knows that the gas pump dispenses gas at a rate of 5 litres per minute. He also knows that the distance between the gas station and his home is 20 km. What is the total time the student spends at the gas station filling up his tank?

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The function has a local maximum at point B and a local minimum at point C, while it does not have any other local extrema.

In mathematical terms, we are given a function and we need to find its local extrema, which refer to the highest and lowest points on the graph of the function within a specific interval. To find these points, we look for critical points where the derivative of the function equals zero or is undefined.

Upon analyzing the given function, ty-o-1-5-, we search for critical points by taking the derivative of the function. However, the provided function seems to have typographical errors, making it difficult to ascertain the exact nature of the function. Consequently, it is challenging to calculate the derivative and determine the critical points.

In the absence of a well-defined function, we cannot proceed with the analysis and identify additional local extrema beyond the local maximum at point B and the local minimum at point C.

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(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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The length of the rectangular garden is 12 m and the breadth is 5 m.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula of the area of a rectangle is used to find the area occupied by the rectangle within its boundary. In the above example, the area of the rectangle whose length is 4 inches and the width is 3 inches is 12 square inches. We have 4 × 3 = 12. The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".

Area of a Rectangle = (Length × Breadth) square units

Let us assume that the length of the rectangular garden is x and the breadth is y.

We are given that The perimeter of a rectangular garden is 38m and its area is 60sq.

Perimeter = 2(length + breadth) = 2(x +y)

∴ 2 (x+y) = 38 ⇒ x+ y = 17 ⇒ y = 17 -x

Area = length×breadth = xy

∴ xy = 60

Substitute y from above equation:

x(17 - x) = 60

⇒ 17x - x² = 60

⇒ x² - 17x + 60 = 0

Solving this quadratic equation, we get

x = 12 , 5

Thus, the length of the rectangular garden is 12 m and the breadth is 5 m.

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What is the surface area? 2 mm 3 mm 1 mm square millimeters.

••••••••••••••••••••••••••••••••••••••••••••

- Hence,The square millimeters is 22sqm².

"Problem has been Solve"

(ノ^_^)ノ

Answer :

Surface area is 22mm²

Required solution :

After noticing the question we got to knew that we need to calculate the surface area of cuboid and we've been provided with the values of length, breadth and height of it.

★ Surface area of cuboid :

Substituting values,

>> S.A. = 2 (2 × 3 + 2 × 1 + 3 × 1)

>> S.A. = 2 (6 + 2 + 3)

>> S.A. = 2 (8 + 3)

>> S.A. = 2 (11)

>> S.A. = 2 × 11

>> S.A. = 22

Answer:

y = (-a n + 32)/(a - 10)

Step-by-step explanation:

Solve for y:

a (y + n) = 10 y + 32

Expand out terms of the left hand side:

a n + a y = 10 y + 32

Subtract a n + 10 y from both sides:

y (a - 10) = -a n + 32

Divide both sides by a - 10:

Answer: y = (-a n + 32)/(a - 10)

Answer:

Step-by-step explanation:

HEY

Answer:

We would need to know the percentage of discount offered during the sale to determine the sale price of the polo shirt. Here's an example calculation for a 25% discount:

If the discount offered is 25%, Bert will only need to pay 75% of the original price. We can calculate this as:

Sale price = (100% - 25%) x $20

Sale price = 75% x $20

Sale price = 0.75 x $20

Sale price = $15

Therefore, if the discount offered during the sale is 25%, Bert will pay $15 for the polo shirt. However, if the discount is different, the sale price will be different.

Answer:

12

Step-by-step explanation:

Time=D/S

T1=PQ/20

T2=PQ/30

Total Time=T1+T2

1=PQ/20+PQ/30

PQ=12

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

Answer:

20%

Step-by-step explanation:

45

22 bronze

14 silver

so 45- 22 -14 =9 gold

9/45 = 1/5 =20%

Answer:

the blank is sequence

Step-by-step explanation:

Based on the given information, there is convincing evidence of a difference in the proportions of households with and without school-aged children that would support starting the school year a week earlier.

Based on the 90% confidence interval given, which ranges from 0.03 to 0.36, there is convincing evidence of a difference in the true proportions of households that would support starting the school year a week earlier, between those with school-aged children and those without. This is because the interval does not include 0, which suggests that the difference is statistically significant. However, it's important to note that this conclusion is based on the specific confidence level of 90%. If a different confidence level was used, the interval could potentially contain 0, indicating that there may not be a significant difference. Therefore, it's important to consider the level of confidence when interpreting the results. Additionally, the fact that different sample sizes were used could potentially impact the validity of the results. It's generally preferred to have equal sample sizes in order to increase the accuracy of the comparison. However, in this case, the difference in sample sizes does not necessarily invalidate the results, but it should still be taken into consideration.

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The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.

A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.

Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).

To find the difference between

(9x² + 8x) - (2x² + 3x)

We do calculation

= 9x² + 8x - 2x² - 3x

= 9x² - 2x² + 8x - 3x

= 7x² + 5x

Thus, the difference between the polynomials is 7x² + 5x.

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