bob has a total of 17 quarters and nickels. If the total value of the coins is $1.85, write the system of equations that could help him find the number of quarters

The area of the triangle with vertices (7,1) (2,2) (-1,-3) is of 14 units squared, and this result was obtained using a determinant.

A triangle, as the name states, is composed by three vertices. Each of these vertices are composed by a x-coordinate and a y-coordinate on the xy-plane.

Then, the area of the triangle can be calculated as half the absolute value of the determinant of a 3 x 3 matrix in which:

Hence the matrix is:

M = [7 1 1]

      [2 2 1]

      [-1 -3 1]

Completing outside for better visualization for the determinant, we have that:

M = [7 1 1] 7 1

      [2 2 1] 2 2

      [-1 -3 1] -1 -3

Then the result of the determinant is:

|M| = 7 x 2 x 1 + 1 x 1 x -1 + 1 x 2 x -3 - 1 x 2 x 1 - 7 x 1 x -3 - 1 x 2 x -1 = 28.

Then the area is:

A = 0.5|M| = 0.5 x 28 = 14 units squared.

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Answer:

The answer is D) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

C)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= (change in y)/(change in x) .

rate  of  change=(212)/(4) .

rate of change =  53.

rate  of  change= (318)/(6).

rate of change =  53

rate of change =  (424)/(8).

rate of change =  53.

rate of change =  (530)/(10) .

rate of change =  53.

Therefore, C)  rate of change is 53, your car travels 53 miles every 1 hour .

The median score for the whole semester is 85. Thus, option a is correct.

It is given to us that -

The grades on first 7 tests of a statistics student are -

76, 80, 91, 94, 78, 85. 90

We have to find out the median score for the whole semester.

To find out the median, we have to first arrange the grades in ascending order from lowest to highest. Thus, arranging them in ascending order, we have -

76, 78, 80, 85, 90, 91, 94

Now, from this arrangement from lowest to highest, the median can be found out as the middle number in the given order which is equal to 85.

Therefore, the median score for the whole semester is 85. Thus, option a is correct.

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The equation for the largest spring constant kmax is given by:

kmax = μ * g * (m1 + m2) / (m1 * sinθ - m2 * cosθ)

In this scenario, there are two blocks connected by a horizontal massless spring. The upper block has a mass of m1, and the lower block has a mass of m2. The blocks are on a frictional surface with a coefficient of friction μ. The surface is inclined at an angle θ with respect to the horizontal.

To prevent slipping between the blocks, the static friction force must be equal to or greater than the maximum force that can cause slipping. The maximum force that can cause slipping is the force of static friction, which is given by μ * (m1 + m2) * g * cosθ, where g is the acceleration due to gravity.

The force exerted by the spring is k * (l0 - Δl), where k is the spring constant and Δl is the extension or compression of the spring. The maximum extension or compression occurs when the upper block is on the verge of slipping, and the maximum force of static friction is required to prevent it.

By equating the force exerted by the spring to the maximum force of static friction, we can solve for the maximum spring constant kmax, which ensures that the upper block does not slip. The derived equation is kmax = μ * g * (m1 + m2) / (m1 * sinθ - m2 * cosθ).

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The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.

The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where (a, b, and c) are 1, 3, and -10

So, the solutions of the equation x^2 + 3x - 10 = 0 are:

x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)

x = (-3 ± √(9 + 40)) / 2

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

x = (4, -1)

Complete question:

Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?

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Answer:

Lololololo9lolo9lkiujyhgdfbhjkifewkjuhgsdvcgfh

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

The simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to solve the given mixed fraction \(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

First we need to convert the mixed fraction into simple fraction;

\(-2\dfrac{8}{11} \times -3\dfrac{1}{3}\)

\(-2\dfrac{8}{11} = \dfrac{- 30}{11} \\\\\\-3\dfrac{1}{3} = \dfrac{-10}{3}\)

Now multiply the given fraction;

\(\dfrac{- 30}{11} \times \dfrac{-10}{3}\)

100/ 11

Hence, the simplified form of the product of given mixed fraction that is  (−2 8/11)⋅(−3 1/3) will be 100/11

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A. No. B. The T-statistic associated with the unemployment rate is -0.06. C. The t-critical value associated with the 95% confidence level and a Z distribution is approximately ±1.96.

A. Based on the information provided, it is not clear what "RTO" refers to. Without knowing the specific methodology or purpose of "RTO," it is not possible to determine whether it should have been used instead of the modified difference-in-difference estimator.

B. In the regression equation, the coefficient for the variable "countunemployment" is -0.06. The T-statistic measures the significance of this coefficient and determines whether it is statistically different from zero.

To calculate the T-statistic, you need the standard error for the coefficient. By dividing the coefficient estimate (-0.06) by its standard error, you can obtain the T-statistic associated with the unemployment rate.

C. The t-critical value associated with the 95% confidence level and a Z distribution is a threshold used to determine statistical significance. In a Z distribution, the t-critical value for a two-tailed test at a 95% confidence level is approximately ±1.96.

This means that if the calculated t-statistic falls outside the range of -1.96 to +1.96, the coefficient is considered statistically significant at the 95% confidence level.

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The following is analysis from my senior undergraduate thesis from 2015 (when I was an anteater; zot zot) examining the effect of California's assault weapon ban on crime rates. This paper uses a modified difference-in-difference estimator. The treatment group is non-CA states, who let the federal assault weapons ban in 2004 lapse, while California maintained a state assault weapons ban, serving as our control. The data examines per capita crime, various controls, as well as treatment/control and pre/post treatment for counties that lie exactly on the border of CA with Nevada, Oregon, and Arizona. I estimated the following regression:

\(\[\ln(\text{{murder}}_{it}) = -8.36 - 0.02(\text{{poverty}}_{it}) - 0.06(\text{{countunemployment}}_{it}) - 0.14(\text{{post}} \times \text{{treat}})_{it}\]\)

The interaction term, Post X Treat, measures the interaction between counties within the treatment states.

A. Should I have run RTO instead? Assume at the 95% confidence level and a Z distribution. Answer "YES" or "NO".

B. What is the T-statistic associated with the unemployment rate? Round to 2 decimal places and include a negative sign if necessary.

C. What is the t-critical value associated with the 95% confidence level and a Z distribution? Round to 2 decimal places.

Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

The value "e" in mathematics is a mathematical constant that is approximately equal to 2.71828 .

The Euler Number "e" is an important constant in calculus, analysis, and many other areas of mathematics .

The value "e" is an irrational number, which means that , the decimal expansion of "e" is non-repeating and non-terminating.

The value "e" is used in many mathematical formulas and functions, including exponential functions, logarithms, and the natural logarithm.

The Euler Number is also used in various scientific and engineering applications, which include  study of population growth, radioactive decay, and electrical circuits.

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The requried, positive angle less than 360 that is Coterminal with 695 is 335 degrees.

To find an angle that is coterminal with 695 and less than 360 degrees, we can subtract 360 degrees from 695 until we get an angle that is less than 360 degrees.

695 - 360 = 335

335 is an angle that is coterminal with 695 and less than 360 degrees.

Thus, a positive angle less than 360 that is Coterminal with 695 is 335 degrees.

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The pounds of meat required for the party by Sam is equal to 378pounds.

Total number of hamburgers required for the party = 14

Each hamburger requires 2 7 pounds of meat.

Then to find the total amount of meat needed for 14 hamburgers,

Multiply the amount of meat per hamburger by the number of hamburgers

Total pounds of meat required for the party

= (amount of meat per hamburger) x (number of hamburgers)

⇒ Total pounds of meat required for the party = 2 7 pounds/hamburger x 14 hamburgers

⇒ Total pounds of meat required for the party = 378 pounds

Therefore, Sam needs 378 pounds of meat in total for the party.

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The above question is incomplete, the complete question is :

Sam is having a party and he will make 14 hamburgers. Each hamburger requires 2 7 pounds of meat. How much meat does Sam need in total for the party?

Answer:

Quadrant ll

Step-by-step explanation:

Answer:

the answer is ll

Step-by-step explanation. \

its where it is on the graph

While looking at the critical points of a function f(x) is a useful first step in finding its maxima and minima, it is not enough by itself to determine all of them.

The statement is partially correct. If a function f(x) is continuous on a closed interval, it is possible to find its absolute maxima and minima by looking at the points where f'(x) = 0, but this is not enough to guarantee that you have found all of them.

The reason why this is the case is because the condition f'(x) = 0 only identifies critical points, which are points where the function may have an extremum (either a maximum or a minimum). To determine whether a critical point is indeed a maximum or a minimum, you need to analyze the behavior of the function near the critical point.

One way to do this is by using the second derivative test, which states that if f(x) is twice differentiable and f''(x) > 0 at a critical point x, then f(x) has a local minimum at x. Similarly, if f''(x) < 0 at a critical point x, then f(x) has a local maximum at x.

You also need to use additional tools, such as the second derivative test, to verify whether the critical points are indeed extrema.

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The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.

The nth harmonic number is defined to be:

$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$

Now,  to understand the concept in detail.

For this purpose, let's consider an example:

If we want to find the 5th harmonic number, then we use the formula as shown below:

$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$

Simplifying the above expression we get:

$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$

=\frac{137}{60}$$

Therefore, the 5th harmonic number is 2.2833.

Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.

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False: The provided code snippet does not correctly determine whether the variable x contains a value in the range of 0 through 100, inclusive.

To explain further, the condition in the if-statement is incomplete and syntactically incorrect. To properly check if x is within the range of 0 through 100, you need to specify the variable in both parts of the condition. The corrected code should be as follows:

if (x >= 0 && x <= 100):

In this revised code, the first part x >= 0 checks if x is greater than or equal to 0, and the second part x <= 100 checks if x is less than or equal to 100. Both conditions need to be true for the if-statement to evaluate to true, indicating that x falls within the specified range.

By making this correction, the code will now accurately determine whether x contains a value within the range of 0 through 100, inclusive.

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Answer:

√61

Step-by-step explanation:

→ Find the distance between y coordinates

2 --4 = 6

→ Find distance between x coordinates

2--3 = 5

→ Find distance

√6² + 5² = √36 + 25 = √61

To write and evaluate the expression "One more than a number cubed" when w = 5, we start by substituting the value of w into the expression.

The expression "One more than a number cubed" can be written as (w^3 + 1). Now, we substitute w = 5 into the expression: (5^3 + 1) = (125 + 1) = 126. Therefore, when w = 5, the value of the expression "One more than a number cubed" is 126. Among the given options: w^3 + 1; when w = 5, the value is 126 (Correct). 16w^3 + 1; when w = 5, the value is 126 (Incorrect) 1/(3w); when w = 5, the value is 16 (Incorrect). 1 + (w/3); when w = 5, the value is 16 and two-thirds (Incorrect).

The correct answer is: w^3 + 1; when w = 5, the value is 126.

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9% of the volume of the original volume is removed.

Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.

So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter

The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter

For each corner one cube so the number of cube is 4

So total volume removed = 4*27 = 108 cubic centimeters

The percent of volume is removed = (108/1200)*100% = 9%

Hence the percentage of volume removed is 9%.

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Answer:

1

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

The amount of sugar in the entire shipment is 97(1)/(2) tons.

We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.

Step-by-step explanation:

One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.

Amount of sugar in one container = 3(3)/(4) tons

Amount of sugar in 2(1)/(5) containers

= 2(1)/(5) × 3(3)/(4) tons

= 13/5 × 15/4 = 195/20

= 97(1)/(2) tons

Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.

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Answer:

Therefore the answer is 1

Step-by-step explanation:

9 −  3/  1 / 3  + 1

=9 − 9 + 1

=0 + 1

=1

HOPE THIS HELPS

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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The value of the other side is 9. 7 m

Using the Pythagorean theorem stating that the square of the hypotenuse side is equal or equivalent to the sum of the squares of the other two sides.

From the information given, we have that;

This is represented as;

12² = 7² + x²

Find the value of the squares, we get;

144 = 49 + x²

collect like terms. we get;

x² = 144 - 49

subtract the values, we have;

x² = 95

Find the square root of both sides

x = 9. 7 m

Hence, the value is 9. 7 m

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Answer:

Step-by-step explanation:

A

Answer:

I have concluded using my big brain that the correct answers are a, b, e, and f

Answer:

69/100

Step-by-step explanation:

You need to make the denominators equal, so multiply 10 by 10, which makes 100. Whatever you do to the denominator, do to the numerator.

30/100 + 39/100 = 69/100

Answer:

69/100

Step-by-step explanation:

3/10 + 39/100

In order to find the sum of this equation, you must first identify the least common denominator.

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120

100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200

The lowest number 10 and 100 have in common is 100.

Second, we must make both fractions have a denominator of 100.

**MULTIPLY THE NUMERATOR AND DENOMINATOR BY THE SAME THINGS!!**

3/10 x 10/10 = 30/100

39/100 x 1/1 = 39/100

Lastly, we add the new fractions.

30/100 + 39/100 = 69/100

69/100 is already in the simplest form.

Therefore, 3/10 + 39/100 = 69/100