Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The length of each side is 3 units. Circle the letter by all the ordered pairs that could be another vertex. ​

Step-by-step explanation:

a) The dependent variable is the velocity of the scooter, and the independent variable is time.

b) Using the kinematic equation v = u + at, where u is the initial velocity, a is the acceleration, t is time, and v is the final velocity, we can find the velocity as a function of time for t ≤ 6 seconds:

v = u + at = 1.0 + (a × t)

c) The graph of velocity as a function of time for the scooter would be a straight line with a positive slope, starting at (0,1.0) and ending at (6,4.0). The x-axis would be labeled "Time (s)" and the y-axis would be labeled "Velocity (mph)".

d) We can find the acceleration of the scooter by rearranging the equation from part (b) to a = (v - u) / t, where v = 4.0 mph, u = 1.0 mph, and t = 6 seconds:

a = (4.0 - 1.0) / 6 = 0.5 mph/s

We can label the acceleration as 0.5 mph/s on the graph.

e) The initial velocity of the scooter is 1.0 mph, which we can label on the graph.

f) To find the distance traveled by the scooter between 0 and 6 seconds using the graphical method, we can calculate the area under the velocity-time graph. The graph forms a trapezoid with a base of 6 seconds, a height of 3 mph (the difference between the final and initial velocities), and a top length of 1.0 mph. The distance traveled is therefore:

distance = 0.5 × (1.0 + 4.0) × 6 = 15.0 miles

g) To find the distance traveled by the scooter between 0 and 6 seconds using the kinematic equations, we can use the equation s = ut + 0.5at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is time. Since the acceleration is constant, we can use the average velocity (2.5 mph) to find the distance traveled:

s = 1.0 × 6 + 0.5 × 0.5 × 6^2 = 15.75 miles

The result from the kinematic equation is slightly larger than the result from the graphical method. This is likely due to rounding errors and the approximation of the trapezoidal area under the velocity-time graph. Overall, both methods provide a good estimate of the distance traveled by the scooter between 0 and 6 seconds.

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

The volume of the triangular prism is 198 cubic units.

To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.

In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:

Area of base = (1/2) × base × height

Area of base = (1/2) × 11 units × 6 units

Area of base = 33 square units

The height of the prism is given as 6 units.

Therefore, the volume of the triangular prism is:

Volume of prism = Area of base × Height

Volume of prism = 33 square units × 6 units

Volume of prism = 198 cubic units

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the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.

The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:

Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86

Therefore, the probability that the next customer will pay with something other than a credit card is:

P = Total customers who paid cash or used a debit card / Total number of customers

P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)

P = 0.93

So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

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Answer:

x y First differences Second differences

-2 14

-1 4 -10

0 -2 -6 4

1 -4 -2 4

2 -2 2 4

This relationship is quadratic.

Answer:

6/11

Step-by-step explanation:

The ratio says that, for every 6 girls, there are 5 boys.

For every 6 girls, there are 6 + 5 = 11 students.

So the fraction of  girls is

6/11

Answer:

y=4x

Step-by-step explanation:

Direct Variation means y=kx where k is a Constant

since y=8 when x=2

y=kx -->  8=k*2  then k=4

Then y=4x

A chi-squared statistic provides strong evidence in favor of the alternative hypothesis if its value is A.  a large positive number.

Chi-squared statistics or chi-squared test is a statistical method used to find out if there is a significant difference between the expected and observed frequencies in one or more categories of a contingency table. This test is used to determine whether the null hypothesis can be rejected or not. Chi-squared statistics are a non-parametric test that helps to determine whether the data is close to what is expected or not. This test is used when the data is ordinal or nominal.

Chisquare test is often used for: Testing if the observed frequencies of a nominal variable are significantly different from the expected frequencies Assessing if two or more distributions are the same. The chi-squared statistic provides evidence for or against the null hypothesis. A large positive value of the chi-squared statistic indicates that the null hypothesis can be rejected.

Therefore, option A. a large positive number, is the correct answer.

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Answer:

a: given

b: multiplication property of equality

c: distributive property

d: simplified

e: addition property of equality

f. division property of equality

Step-by-step explanation:

step a will always be given because it is starting equation. step b is multiplication property because everything is multiplied by two so you don't have to deal with decimals. step c is distributive because you distribute the -5s in the parentheses. step d is simplified because they combined like terms and nothing changed sides. step e is addition property because you added 5x to both sides. step f is division property because -7 is divided from each side.

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

\(\frac{1}{2}\)x-4

Step-by-step explanation:

Answer:

1/2 (x)-4

Step-by-step explanation:

Hopes this helps

Answer

Trapezoids

Step-by-step explanation:

Squares are not trapazoids.

rho.buses 12342476512457

Answer:

45, 60, 75

Difference between the largest and smallest angles

75 - 40 = 35

Step-by-step explanation:

First solve for x.  The sum of the interior angles of a triangle is 180

3x + 4x + 5x =180  Combine like terms

12x + 180  Divide both sides by 12

\(\frac{12x}{12}\) = \(\frac{180}{12}\)

x = 15

3x = 3(15) = 45

4x = 4(14) = 60

5x  = 5(15) = 75

Step-by-step explanation:

please, burn this into your brain for life :

the sum of all angles in a triangle is always (yes, no exceptions) 180°.

so,

3x + 4x + 5x = 180

12x = 180

x = 180/12 = 15

3x = 3×15 = 45°

4x = 4×15 = 60°

5x = 5×15 = 75°

the difference between largest and smallest angle is therefore

75 - 45 = 30°

Answer: The cylinder would need to be sliced diagonally

B) The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The alpha value of the reliability coefficient, also known as Cronbach's alpha, measures the internal consistency of a questionnaire. It indicates how well the items on the questionnaire are related to each other and form a consistent measure of the concept being assessed. A high alpha value indicates that the items on the questionnaire are measuring the same underlying concept and that the questionnaire is reliable.

Correlation between the score on the questionnaire and another measure of the same concept (Option A) and consistency by which multiple subjects are able to complete the questionnaire without error (Option D) can also provide information about the reliability of a questionnaire.

The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

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The integral evaluates to [θeθ]∞−6 - e^(-6). To evaluate the integral using integration by parts, we first need to identify the parts of the integrand to be differentiated (u) and integrated (dv).

Let's choose:
u = -6θ
dv = e^θ dθ
Now, we need to differentiate u and integrate dv:
du = -6 dθ
v = ∫ e^θ dθ = e^θ
Integration by parts formula is given by:
∫u dv = uv - ∫v du
Applying this formula, we get:
∫(-6θ e^θ) dθ = (-6θ e^θ) - ∫(e^θ (-6)) dθ
Now, integrate the second term:
= -6θ e^θ + 6 ∫ e^θ dθ
Integrate e^θ:
= -6θ e^θ + 6 (e^θ) + C
Now, since the integral is from -∞ to a specific value, the integral is an improper integral. However, it's important to note that e^θ will go to 0 as θ approaches -∞, so we can evaluate the improper integral as:
∫[-∞, a] -6θ e^θ dθ = -6a e^a + 6 (e^a) - 6 (e^(-∞)) + C
So, the final answer is: -6θ e^θ + 6 e^θ + C

To use integration by parts to evaluate ∫−∞−6θeθ dθ, we need to choose two functions to differentiate and integrate. Let's choose u = θ and dv = eθ dθ. Then, du/dθ = 1 and v = eθ.
Using the integration by parts formula, we have:
∫−∞−6θeθ dθ = [θeθ]∞−6 - ∫−∞−6eθ dθ
Now, we need to evaluate the second integral. This is a straightforward integral, and we can evaluate it using the antiderivative of eθ:
∫−∞−6eθ dθ = [eθ]∞−6 = e^(-6)
Substituting this back into the original equation, we get:
∫−∞−6θeθ dθ = [θeθ]∞−6 - e^(-6)
Therefore, the integral evaluates to [θeθ]∞−6 - e^(-6).

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Answer:

36

Step-by-step explanation:

18/4=4.5

4.5 x 4= 36

simple dude

Answer: Hello

Step-by-step explanation:

The function g(x) = f(x - h) + k represents a translation of the original function f(x) by a horizontal shift of h units to the right and a vertical shift of k units upwards.

In this translation:

- The term (x - h) inside the function represents the horizontal shift. The value of h determines the amount and direction of the shift. If h is positive, the function shifts h units to the right, and if h is negative, the function shifts h units to the left.

- The term k outside the function represents the vertical shift. The value of k determines the amount and direction of the shift. If k is positive, the function shifts k units upwards, and if k is negative, the function shifts k units downwards.

By applying this translation to the original function f(x), you can obtain the function g(x) with the desired horizontal and vertical shifts.

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Answer:

760 students

Step-by-step explanation:

divide 228 ÷ 30%

30% = 0.30

228 ÷ 0.30 = 760

Answer:

cos C = 4/5

Hence, the third option i.e. 4/5 is correct.

Step-by-step explanation:

Given the right triangle ΔABC

Given

We know the trigonometric ratio such as

cos Ф = adjacent / hypotenuse

substitute Ф = C, adjacent = 36, and hypotenuse = 45

cos C = 36 / 45

cos C = [9 × 4] / [9 × 5]

cancel the common factor: 9

cos C = 4/5

Thus,

cos C = 4/5

Hence, the third option i.e. 4/5 is correct.

The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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We can conclude that the cylinder has a volume of 703π cm3 and a height of 18.5 cm, with a radius of approximately 7 cm.

The given cylinder has a volume of 703π cm3 and a height of 18.5 cm.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Plugging in the given values, we have:
703π = πr^2 * 18.5
Simplifying the equation, we can divide both sides by π and 18.5:
703 = r^2 * 18.5
To find the radius, we can take the square root of both sides of the equation:
√(703/18.5) = r
Calculating this, we find that the radius of the cylinder is approximately 7 cm.
Therefore, we can conclude that the cylinder has a volume of 703π cm3 and a height of 18.5 cm, with a radius of approximately 7 cm.

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the first one is: The value of 1 in carmen's number is 3 times the value the value of the 1 in michelles's number

and the second is:

Answer:

The choice D.

\((3b - 1) {x}^{2} + 35x - c\)

Step-by-step explanation:

\(3x(bx + 10) - ( {x}^{2} - 5x + c) \\ \\( 3b {x}^{2} + 30x) + ( - {x}^{2} + 5x - c) \\ \\ 3b {x}^{2} - {x}^{2} + 35x - c \\ \\ = (3b - 1) {x}^{2} + 35x - c\)

I hope I helped you^_^

Using the formula \(\(FV = PV \cdot e^{rt}\)\), where \(\(FV\)\)is the future value, \(\(PV\)\) is the present value, \(\(r\)\) is the interest rate, and \(\(t\)\) is the time, we can calculate the amount of time it would take for an investment of $2000 to grow to $4000 at an interest rate of 6.25%.

Given that \(\(PV = \$2000\), \(FV = \$4000\), and \(r = 0.0625\) (6.25%\) expressed as a decimal), we can rearrange the formula \((FV = PV \cdot e^{rt}\) to solve for \(t\):\\\[t = \frac{\ln\left(\frac{FV}{PV}\right)}{r}\]\)

Substituting the given values, we have:

\(\[t = \frac{\ln\left(\frac{4000}{2000}\right)}{0.0625}\]\)

Simplifying, we get:

\(\[t = \frac{\ln(2)}{0.0625}\]\)

Using a calculator, we can find the value of \(\(\ln(2)\)\) and divide it by 0.0625 to obtain the approximate time in years. Therefore, it would take approximately years for the investment to grow to $4000.

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a) 81.86 percent of the pennies will weigh between 2.7 and 3.3g. b) 100 percent of the pennies will weigh between 2.5 and 3.7g. c) 2.28 percent of the pennies will weigh less than 2.7g. d) 15.87 percent of the pennies will weigh more than 3.3g.

To solve these questions, we will use the properties of the normal distribution and z-scores.

a) To find the percentage of pennies that weigh between 2.7 and 3.3g, we need to calculate the area under the normal curve between these two values.

First, we need to standardize the values using z-scores:

z1 = (2.7 - 3.1) / 0.2 = -2

z2 = (3.3 - 3.1) / 0.2 = 1

Next, we can use a standard normal distribution table or a calculator to find the area between these two z-scores. The area between -2 and 1 is approximately 0.8186 or 81.86%.

Therefore, approximately 81.86% of the pennies will weigh between 2.7 and 3.3g.

b) Similarly, to find the percentage of pennies that weigh between 2.5 and 3.7g, we need to standardize the values and calculate the area between the corresponding z-scores.

z1 = (2.5 - 3.1) / 0.2 = -3

z2 = (3.7 - 3.1) / 0.2 = 3

The area between -3 and 3 encompasses the entire distribution and is equal to 1 or 100%.

Therefore, 100% of the pennies will weigh between 2.5 and 3.7g.

c) To find the percentage of pennies that weigh less than 2.7g, we need to calculate the area to the left of the corresponding z-score.

z = (2.7 - 3.1) / 0.2 = -2

Using a standard normal distribution table or a calculator, we find that the area to the left of -2 is approximately 0.0228 or 2.28%.

Therefore, approximately 2.28% of the pennies will weigh less than 2.7g.

d) To find the percentage of pennies that weigh more than 3.3g, we need to calculate the area to the right of the corresponding z-score.

z = (3.3 - 3.1) / 0.2 = 1

Using a standard normal distribution table or a calculator, we find that the area to the right of 1 is approximately 0.1587 or 15.87%.

Therefore, approximately 15.87% of the pennies will weigh more than 3.3g.

Correct Question :

A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and a standard deviation of 0.2g

a) What percentage of pennies will weigh between 2.7 and 3.3g?

b) What percentage of pennies will weigh between 2.5 and 3.7g

c.) What percentage of pennies will weigh less than 2.7g?

d.) What percentage of pennies will weigh more than 3.3g?

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