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The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75

Answer:

Step-by-step explanation:

a)1.04

b)2.53

c) 0.066

d) 2.626

e)0.03

f)3.675    

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The correct solution to the system of equations is option B, which is (2, 4, -1).

To solve this system of equations, we can use the method of elimination or substitution. By applying the elimination method, we can start by eliminating the z variable from the first two equations. We can achieve this by multiplying the first equation by 2 and the second equation by -3, and then adding the two equations together. This results in the equation -7x - 5y = -22.

Next, we can combine the third equation with this new equation to eliminate the z variable. By subtracting 2z from both sides of the equation, we get 4x - 2y - 2z = -18.

Now, we have two equations without the z variable:

-7x - 5y = -22

4x - 2y = -18

We can solve this system of equations by either substitution or elimination. By using the substitution method, we can solve the second equation for x in terms of y: x = (2y - 18)/4. Substituting this expression for x into the first equation, we get -7((2y - 18)/4) - 5y = -22. Simplifying this equation, we get -14y + 63 - 5y = -22. Combining like terms, we have -19y + 63 = -22. Solving for y, we get y = 5.

Substituting this value of y back into the second equation, we can solve for x: 4x - 2(5) = -18. Simplifying, we get 4x - 10 = -18. Solving for x, we find x = 2.

Finally, substituting the values of x and y into any of the original equations, we can solve for z. Using the first equation, we have 3(2) - 5 - z = -9. Simplifying, we get 6 - 5 - z = -9, which gives us z = -10.

Therefore, the solution to the system of equations is (x, y, z) = (2, 4, -1), which matches option B.

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The expressions that describe the mass are Mass = 3599 grams, Mass = 126.95 ounces and Mass = 3.599 kilograms

The mass of the penguin is given as

Mass = 3.599 kilograms

Convert the mass from kilograms to grams.

So, we have:

Mass = 3.599 * 1000 grams

Evaluate the product

Mass = 3599 grams

Next, convert the mass from grams to ounce

So, we have:

Mass = 3599/28.35 ounce

Evaluate the quotient

Mass = 126.95 ounces

Hence, the expressions that describe the mass are Mass = 3599 grams, Mass = 126.95 ounces and Mass = 3.599 kilograms

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The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -the coordinate for column 2.

What are the coordinates and vertex of an equation?

When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=a\(x^{2}\)+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient \(x^{2}\) is positive. The apex of the U-shaped curve should be at the top of the coefficient  \(x^{2}\) is negative.

In the given question, It is given:

The two equations are:

\(y=2x^{2}-4x+12\)

and,

\(y=4x^{2}+8x+3\)

We have to find the vertex of the x-coordinate.

So, for the equation: \(y=2x^{2}-4x+12\)

In Column 1:

\(\begin{aligned}y &=-2 x^2-4 x+12 \\&=-2\left(x^2+2 x-6\right) \\&=-2\left((x+1)^2-7\right)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is -1.

So, for the equation:\(y=4x^{2}+8x+3\)

In Column 2:

\(\begin{aligned}y &=x^2-4 x+3 \\&=(x-2)^2+(-1)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is 2.

So, Option b is correct.

Hence, The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -coordinate for column 2.

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Answer:

$8 per pound

Step-by-step explanation:

40 ÷ 5 = 8

$40 per 5 pound= 8

$8 per 1 pound = 8

Answer:

C (4,5)

Step-by-step explanation:

See the attached image.

Answer:150 is the answer of this question

Step-by-step explanation:

Answer:

$5.60

Step-by-step explanation:

$70 ⋅ 0.08 = $5.60

(I could be wrong. Sorry if I am. Don't get mad at me)

Hope I help :)

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The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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The given question is incomplete as it does not provide the measurements for the time it takes to complete 5 rotations.

In order to provide a meaningful answer, we need the actual measurements for the time it takes to complete 5 rotations. Without the measurements, it is not possible to analyze the data or draw any conclusions regarding the time taken.

Once the measurements are available, they can be used to calculate the average time taken for 5 rotations. This can be done by summing up the individual measurements and dividing by the number of measurements taken. The average will provide an estimate of the typical time taken for 5 rotations.

Additionally, other statistical measures such as the standard deviation can be calculated to assess the variability or consistency of the measurements. A smaller standard deviation indicates less variability and a higher level of consistency in the time taken for 5 rotations.

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Please find attached photograph for your answer.

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Step-by-step explanation:

a)  Given:  t1/2 = ln(0.5) / k       ( this is NATURAL ln...NOT base 10 LOG)

     then  k =   ln(0.5) / ( t1/2)      and t 1/2 is given as 1620 yrs

              k = ln(0.5) / 1620 = - 4.279  x 10^-4  

b)   New = n e^(kt)      n = 20 g   t = 5000   k (given above)

  New = 20 e^(-4.279 x 10^-4 * 5000)  = 2.23 g left

c)   1/4  =  e^(kt)

       1/4 = e^( 4.279x 10^-4  * t)    solve for t years

         t = 3240 years   <==== which makes sense    

                                             say you started with  10 g

                                               after one half life you would have 5

                                                  one more half life you would have 2.5

                                                      so two half lives and you have 1/4 as much

                                                            two half lives = 1620 x 2 = 3240 years      

Answer:

5/12

Step-by-step explanation:

add: 3+2=5, 6+6=12. put 5 on the top 12 on the bottom

Answer:

D = b²-4ac

so, now put in Formula

Discriminate, D = 16-56 = -40

hope it helps you....

By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.

A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.

In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.

Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.

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Answer:

Step-by-step explanation:

2345t

Step-by-step explanation:

The formula for compound interest is:

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

Where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $300, r = 5%, n = 4 (since interest is compounded quarterly), and t = 20.

Plugging in these values, we get:

A = 300(1 + 0.05/4)^(4*20)

A = 300(1.0125)^80

A = 300(3.38696)

A = $1,016.09

Therefore, the investment will be worth $1,016.09 after 20 years. None of the answer choices are exactly right, but the closest one is $810.45, which is off by about 25%.

Answer:

$384.61

Step-by-step explanation:

In an ABCAC research design, C refers to a new independent variable. The correct answer is option c. a new independent variable.

An ABCAC research design is a type of single-subject research design that is used to examine the effects of different independent variables on a target behavior. In this design, A refers to the baseline phase, B refers to the first intervention phase, and C refers to the second intervention phase. The purpose of the C phase is to introduce a new independent variable to see if it has an effect on the target behavior.

Therefore, in an ABCAC research design, C refers to a new independent variable that is introduced to examine its effect on the target behavior.

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Answer:

178.3 mm²

Explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()

Answer:

1:4

Step-by-step explanation:

the original would be

25:100

divide by 25

(25:100)/25

1/4

Answer:

3/4

Step-by-step explanation:

100-25=75

75%=3/4

Answer: it is C bro

Step-by-step explanation: cancel the common factor of four

Answer:

V = 100π

Step-by-step explanation:

The volume of a cone is V = (\(\frac{\pi r^2h}{3}\))

1) \(\frac{\pi5^212}{3}\)

2) \(\frac{300\pi }{3}\)

3) 100π

Answer:

6

Step-by-step explanation:

"Index" is another name for exponent.

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

The integral as an equivalent integral are as follows.

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

What is an integral ?

Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

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question:

Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy

The polygon shape that possesses the bigger area from the two given is: Hexagon

Polygons are defined as closed shapes that are two-dimensional. They possess straight sides and have the same number of sides as they have angles. Polygons have names that relate to how many sides they have.

A hexagon has more sides than a pentagon.

A hexagon is a polygon that has six sides and a pentagon is a polygon that has five sides.

Now, the more sides the polygon has, the more area it covers inside the circle as it will obviously be wider.

Thus, we can infer that the hexagon will have a bigger area.

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Answer:

the opposite of 9

Step-by-step explanation:

the absolute value of nagative 9, is positive 9.

the absolute value of postive 9, is postive 9.

the distance between 0 and nagative 9 on a line would be a count of postive 9.

the opposite of postive 9 is negative 9 (the only one with a diffrent outcome)