Do you brought a cooler container 7.5 L of water to the picnic in 500milliliters of the water I serve to each person and how many people can get water before the coolers is empty

See attachment for the graph of g(x) = 1/2x^2

The equation of the function is:

g(x) = 1/2x^2

The above function is a quadratic function that has only one term

Next, we plot  the graph using a graphing tool

See attachment for the graph of g(x)

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To make the game fair, we would need to adjust the payouts so that the expected value of playing is zero. This means that the sum of the products of each possible outcome and its probability should equal the cost to play.

Removing the payouts for rolling a 5 and 9 would both make the game fair, as these outcomes have non-zero payouts but their probabilities are relatively low. Increasing the cost to play by $1 would also make the game fair, as it would decrease the expected value of playing.

However, decreasing the cost to play by $2 would make the game less fair, as it would increase the expected value of playing. Including a payout of $6 for rolling a 7 would also make the game less fair, as it would increase the expected value of playing.

Therefore, the adjustments that would make the game fair are: removing the payouts for rolling a 5 and 9, and possibly increasing the cost to play by $1.

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The journal entry will include the following:

A debit to Depreciation Expense for $15,000

A credit to Accumulated Depreciation for $60,000

Using the straight-line depreciation method, we can calculate the annual depreciation expense as:

Depreciation Expense = (Cost - Residual Value) / Useful Life

Depreciation Expense = ($80,000 - $5,000) / 5

Depreciation Expense = $15,000

Therefore, the total accumulated depreciation at the end of year 4 will be:

Accumulated Depreciation = Depreciation Expense x Number of Years

Accumulated Depreciation = $15,000 x 4

Accumulated Depreciation = $60,000

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The amount owed is $10865, based on the given parameters

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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Answer:

in the picture

Step-by-step explanation:

in the picture

Answer:

8

Explanation:

First, we need to find the mean, so the sum of all values divided by the number of values is equal to:

Then, we need to find the population standard deviation, so we need to find the square of the difference between each value and the mean:

(87 - 64.44)² = 508.75

(63 - 64.44)² = 2.08

(39 - 64.44)² = 647.41

(67 - 64.44)² = 6.53

(66 - 64.44)² = 2.41

(63 - 64.44)² = 2.08

(62 - 64.44)² = 5.97

(67 - 64.44)² = 6.53

(66 - 64.44)² =2.41

Now, the standard deviation will be the square root of the sum of these values divided by the number of values, so:

Therefore, the data that is within 2 population standard deviations to the mean is the data that is located within the following limits:

mean + 2s = 64.44 + 2(11.47) = 87.38

mean - 2s = 64.44 - 2(11.47) = 41.5

So, from the 9 values, 8 are within 2 population standard deviations of the mean.

Therefore, the answer is 8.

Answer:

equivalent is the aswer

Answer: x = 1.25

Step-by-step explanation:

HF - is the middle line of the triangle ABC.

\(HF=\dfrac{1}{2} AB\\\\HF=4x+1\\AB=12x-3\\\\4x+1=\dfrac{1}{2} \cdot (12x-3)\\\\4x+1=\dfrac{12x-3}{2} \\\\(4x+1) \cdot 2 =12x-3\\8x+2=12x-3\\8x+2-12x=12x-3-12x\\-4x+2=-3\\-4x+2-2=-3-2\\-4x=-5\\-4x \cdot (-1)=-5 \cdot (-1)\\4x=5\\4x \div 4=5 \div 4\\x=1.25\)

Answer:

Her monthly rate per month is $12

Step-by-step explanation:

On the 0 month is what she already had in her bank account.

Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

186?

Step-by-step explanation:

I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth

On solving the provided question, we can say that the linear function that can be formed is x + 4y= 16 and rate of change in linear function is 13

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

the linear function that can be formed is

x + 4y= 16

also, 2x = 26y

rate of change in linear function is 13

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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Answer: i think A

Step-by-step explanation:

Answer:

x/y educated guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

X and y because yes

ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

The vector b when expressed as a column vector as required in the task content is; b = ( -8, 6 ).

It follows from the task content that the vector a is as represented in the attached image and hence, it is required that the vector b is to be expressed as a column vector.

By observation, it follows that vector a 4 units left and 3 units up.

Hence;

b = ( -4, 3 ).

On this note, since b is in the same direction but twice the length of a; we have that;

b = 2 × ( -4, 3 ).

Ultimately, the required vector b as a column vector is;

b = ( -8, 6 ).

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Answer:

y=\(\sqrt{171}\)

Step-by-step explanation:

5^2+y^2=14^2

y^2=171

y=\(\sqrt{171}\)

since the ladder is the hypotenuse, it will be the largest in the equation

use pythagorean theorem

Answer:

(5t-4)(4t+5)

= 20t^2 + 25t - 16t - 20

= 20t^2+9t-20

Answer:

20t^2 + 9t - 20

Step-by-step explanation:

Original Equation:
(5t - 4)(4t + 5)

Distributive property, multiply 5t and 4t and then 5t by 5

Actually, I'm gonna have a hard time explaining in writing, I'm just gonna take a picture of my math.

The equation that models the amount of time that is left on the cd is 80 - m.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, the blank CD can hold 80 minutes of music you have burned m minutes of music onto the cd. The time left will be:

= Total minutes - Time used

= 80 - m

This illustrates the equation.

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Answer:

4  Hope that helped

Answer:

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

g(x)=-6/5x+1/2

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

The intersection of this sphere with the -plane is (y+6)²+(z-4)²=21

The equation of a sphere centered at (h,k,l) and radius r is given by:

(x−h)²+(y−k)²+(z−l)²=r²

where x,y, and z represent the coordinates of the points on the surface of the surface.

so if the center is (-3,2,5) and radius r=4 then we can plug the values in the above formula:

consider the points  h=-3 k=2 l=5 and r=4.

(x−(-3))²+(y−2)²+(z−5)²=4²

(x+3)²+(y−2)²+(z−5)²=16.

If the sphere intersects the yz-plane then x=0

The resulting equation is an equation of a circle with a radius r=√21

and at the center with (6,-4) on the yz-plane

with yx-plane:

⇒(x−2)²+(y+6)²+(z−4)²=25

⇒ (0−2)²+(y+6)²+(z−4)²=25

⇒4+(y+6)²+(z−4)²=25

⇒(y+6)²+(z−4)²=25-4

⇒(y+6)²+(z−4)²=21

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Answer:

d + c ≤ 15

6*d + 7.50*c≥ 75

Step-by-step explanation:

  Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

In other words, an inequality is obtained by writing two numerical or algebraic expressions related to any of the symbols>, <, ≥ or ≤.

You know Tom's mom said that he can't work more than 15 hours to make sure he keeps up with his homework. That is, the number of hours walking the neighbor's dog added to the car wash should not exceed 15 hours, that is, it must be less than or equal to that amount. If d represents the number of hours walking your neighbor's dog and c represents the number of hours washing cars, then it is possible to represent this by the following inequality:

d + c ≤ 15 Inequality (A)

On the other hand, you know that Tom needs to earn at least $ 75 to cover the expenses of this weekend's prom. In other words, the money earned by walking dogs added to that earned by washing cars must be equal to or greater than $ 75. If Tom will walk his neighbor's dog for $ 6 an hour and wash cars for $ 7.50 an hour, then $ 6*d is the money earned walking dogs and $ 7.50*c is the money earned from washing cars. So this is represented by the inequality:

6*d + 7.50*c≥ 75 Inequality (B)

Then the system of inequalities that represents this situation is given by the Inequation (A) and the Inequation (B)

The volume of the solid is \(\frac{32}{3}\) cubic units.

To find the volume of the solid, we need to integrate the area of each cross section taken perpendicular to the y-axis over the range of y-values that the ellipse covers.

the height of each cross section will be equal to the y-coordinate of the ellipse at that point, since the triangles are isosceles and right-angled. The base of each cross section will be twice the height, since the triangles are isosceles, and the hypotenuse will lie in the ellipse.

So, for a given y-value, the area of the cross section will be:

\(A(y) = \frac{1}{2} \cdot 2y \cdot y = y^2\)

To find the limits of integration for y, we need to find the y-coordinates of the points where the ellipse intersects the y-axis. We can do this by setting x = 0 in the equation of the ellipse:

\(4x^2 + 9y^2 = 36\\9y^2 = 36\\y^2 = 4\\y = \pm 2\)

So, the limits of integration for y are -2 and 2.

The volume of the solid can now be found by integrating the area of the cross sections over the range of y-values:

\(V = \int_{-2}^{2} A(y) dy\\V = \int_{-2}^{2} y^2 dy\\\\V = \frac{1}{3}y^3 \Bigg|_{-2}^{2}\\V = \frac{1}{3}(2^3 - (-2)^3)\\V = \frac{32}{3}\)

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Answer:

the answer is a) he was confused the height

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) He confused the height and the diameter.

(a) The value of Process capability index will be equal to 3.85.

(b) The value of process capability ratio =3.85

(c) The process is not capable of producing the bottle to the desired level of performance,

a. The process capability index is given by:

Cp = (Upper specification limit - Lower specification limit) / (6 x Standard deviation)

Upper specification limit = 0.600 + 0.050 = 0.650

Lower specification limit = 0.600 - 0.050 = 0.550

Standard deviation = 0.013

Cp = (0.650 - 0.550) / (6 x 0.013) = 3.85

b. The process capability ratio is given by:

Cpk = min[(Upper specification limit - Mean) / (3 x Standard deviation), (Mean - Lower specification limit) / (3 x Standard deviation)]

Mean = 0.600

Upper specification limit = 0.650

Lower specification limit = 0.550

Standard deviation = 0.013

Cpk = min[(0.650 - 0.600) / (3 x 0.013), (0.600 - 0.550) / (3 x 0.013)]

= min[3.85, 3.85] = 3.85

c. If the firm is seeking four-sigma performance, the process must have a process capability index of at least 4.

Therefore, the process is not capable of producing the bottle to the desired level of performance,

Since Cp = 3.85 is less than 4.

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