The sixth grade class is putting on a variety show to raise money. It costs $700 to rent the banquet hall they are going to use. If they charge $15 for each ticket, what is the minimum number of tickets they need to sell in order to raise at least $1000?

There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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The average velocity for the time period is -15 feet per second

The velocity of the ball = 31 feet / seconds

The function of the height is

y = 31t - 23t^2

Time period beginning when t = 1 and lasting .01 s, .005 s, .002 s, .001 s

The average velocity = f(1.01) - f(1) / 1.01 - 1

f(t) = 31t - 23t^2

f(1.01) = 31(1.01) - 23(1.01)^2

= 31.31 - 23.46

= 7.85 feet per second

Similarly

f(1) = 31(1) - 23(1)^2

= 31 - 23

= 8 feet per second

The average velocity =  7.85 - 8 / 1.01 - 1

= -0.15 / 0.01

= -15 feet per second

Hence, the average velocity for the time period is -15 feet per second

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a) no-load speed = 7142.9 rpm ; b) Stall torque = 0.074 N.m ; c) Time taken to reach the no-load speed = 5.35 × 10^-5 s ; d) Graph of motor speed vs time at no-load is explained.

a) No-load speed calculation:Let us use back EMF formula to find the no load speed of the motor:n = (V − Eb) / (Kp * φ)

No-load speed is the speed at which the motor runs when there is no load connected to it. So, the current is zero, and the back EMF is at its maximum value.

This maximum value of back EMF is simply the applied voltage, V, because there is no voltage drop across the armature resistance.

Hence, we have the no-load speed formula as:

n = (V / Kp * φ)where V is the voltage across the armature terminals, Kp is the motor constant, and φ is the flux per pole pair.

= (30 V) / [(0.028 N.m/A) * (0.00012 Kg.m2)]

= 7142.9 rpm

b) Stall torque calculation:

We know that at stall condition, the motor does not rotate, so its speed is zero. Therefore, the back EMF of the motor is also zero.

So, the current that flows through the motor is simply the applied voltage divided by the armature resistance, which is given by:

Current = V / R_a= 30 V / 11.2 Ω = 2.68 A

Torque (T) is given by the following equation:

T = Kp * I= 0.028 N.m/A * 2.68 A

= 0.074 N.m

c) Time taken to reach the no-load speed:

We know that the time constant of the motor is given by the formula:

τ = (L_a / R_a) = (0.00012 Kg.m2) / (11.2 Ω) = 1.07 * 10-5 s

Now, the time required for the motor to reach 98% of the steady-state value (within about 2%) is given by:

5τ = 5 * (1.07 × 10^-5 s)

= 5.35 × 10^-5 s

d) Graph of motor speed vs time at no-load: At no-load, the motor is free to spin.

When a step input of 30V is applied, the motor will start accelerating to its no-load speed which we have calculated in part a).

The acceleration of the motor is given by:α = (Kp / J) * (V − Kp * ω) − (C / J) * ω where J is the moment of inertia of the motor.

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Answer:

The answer to this question is 68

Answer:

m∡ABD = 68°

Step-by-step explanation:

let x = m∡ABD

44 + 2x = 180

2x = 136

x = 68

Answer:

65

Step-by-step explanation:

Since 39 is 60%, 100/60= 1 2/3

39*1 2/3 is 65

Answer:4.6 miles for 5 days

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

Answer:4.6 miles

Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles

Answer:

His average daily pay was $90.

Step-by-step explanation:

78+94+115+108+67+78=540

540/6= 90.

Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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The house is 0 miles east of the center of the town.

To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.

Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.

Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).

Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).

Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.

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Answer:

10

Step-by-step explanation:

√100 = 10

Answer:

10

Step-by-step explanation:

√100 = 10

we know 10 * 10 =100

so the answer is 10

for another example square root of 9,

√9

we know 3 * 3 = 9

so the answer is 3

for another example square root of 64

√64

we know 8 * 8 =64

so the answer is 8

for last example square root of 676

√676

we know 26 * 26

so answer is 26

And continues

Answer:

C

Step-by-step explanation:

C is correct because there is one outlier.

Answer:

2nd and 3rd option

Step-by-step explanation:

Positive association means the trend is going up as it goes right which is not true.

There is a linear association because you can see the points pretty much lie on a line.

The point between 2 and 3 on the x-axis does not follow the trend of the rest of the points so it is an outliers.

Part A:

x= 90 degrees

Part B:

145 degrees

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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(0, -5) and (2, -8.75)

Given the function expressed as:

We are to find two other coordinates other than the vertex and x-intercept. Note that the equation of a parabola in vertex form is expressed as:

Another coordinate point is the y-intercept of the graph. The y-intercept occurs at the point where x = 0.

Substitute x = 0 into the given function;

Hence the y-intercept of the graph is (0, -5)

The other coordinate of the function we can determine is the FOCUS.

The coordinates for the focus of the parabola is given as (h, k+1/4a).

where:

• a is the intercept

• (h, k) is the vertex

Comparing the given function with the general function, we can see that:

a = 1

h = 2

k = -9

Substitute these values into the coordinate of the focus will give:

Therefore the other two points on the graph are (0, -5) and (2, -8.75)

The age of Jeremy could be less than 22 years

From the question, we have the following parameters that can be used in our computation:

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

Answer:

8,377.58 \(mi^{3}\)

Step-by-step explanation:

To solve for the volume of a right circular cone like the one in the picture, you use \(\pi\)\(r^{2}\)\(\frac{h}{3}\).

Plug in the radius and height to get \(\pi\)\(20^{2}\)\(\frac{20}{3}\).

Then solve (and round to the nearest hundredth) and you should get 8,377.58.

To determine whether a function f: z × z → z is onto, we must first understand the definition of an onto function. An onto function is a function that maps every element in its domain to an element in its range. This means that for every element y in the range of f, there exists an element x in the domain of f such that f(x) = y.

For a) f(m,n)=2m−n, we can see that the domain of f is all pairs (m,n) of integers, while the range of f is all integers. To check if this is an onto function, we will take an arbitrary element y in the range and find the corresponding element x in the domain. Let y = 4. Then, we can solve for x by plugging in 4 for y and solving for m and n. We get m = 3 and n = 1, and so we have f(3,1) = 4. Thus, this function is onto.

For b) f(m,n)=m2−n2, we can see that the domain of f is again all pairs (m,n) of integers, while the range of f is all non-negative integers. To check if this is an onto function, we will take an arbitrary element y in the range and find the corresponding element x in the domain. Let y = 9. Then, we can solve for x by plugging in 9 for y and solving for m and n. We get m = 3 and n = 2, and so we have f(3,2) = 9. Thus, this function is also onto.

For c) f(m,n)=mn1, we can see that the domain of f is again all pairs (m,n) of integers, while the range of f is all integers. To check if this is an onto function, we will take an arbitrary element y in the range and find the corresponding element x in the domain. Let y = 5. Then, we can solve for x by plugging in 5 for y and solving for m and n. We get m = 5 and n = 1, and so we have f(5,1) = 5. Thus, this function is also onto.

For d) f(m,n)=|m|−|n|, we can see that the domain of f is again all pairs (m,n) of integers, while the range of f is all integers. To check if this is an onto function, we will take an arbitrary element y in the range and find the corresponding element x in the domain. Let y = 3. Then, we can solve for x by plugging in 3 for y and solving for m and n. We get m = 3 and n = 0, and so we have f(3,0) = 3. Thus, this function is also onto.

For e) f(m,n)=m2 −4, we can see that the domain of f is again all pairs (m,n) of integers, while the range of f is all non-negative integers. To check if this is an onto function, we will take an arbitrary element y in the range and find the corresponding element x in the domain. Let y = 4. Then, we can solve for x by plugging in 4 for y and solving for m and n. We get m = 2 and n = 0, and so we have f(2,0) = 4. Thus, this function is also onto.

In conclusion, all of the given functions are onto functions.

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Answer:

Step-by-step explanation:

height of the building

Symbolically, we can represent the null hypothesis as H0: p ≥ 0.003, and the alternative hypothesis as Ha: p < 0.003, where p is the true proportion of Americans who have seen a UFO.

In statistical hypothesis testing, the null hypothesis (H0) represents the default assumption or the status quo, which is assumed to be true until there is sufficient evidence to suggest otherwise. In this case, the null hypothesis is that the proportion of Americans who have seen a UFO, denoted by p, is greater than or equal to 3 in every one thousand.

The alternative hypothesis (Ha) represents the opposite of the null hypothesis, suggesting that there is evidence to reject the null hypothesis in favor of an alternative claim. In this case, the alternative hypothesis is that the proportion of Americans who have seen a UFO is less than 3 in every one thousand. This alternative hypothesis represents the claim made by the skeptical paranormal researcher.

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The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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Answer:

√  1. Quadratic

√  2. Quadratic

√  3. Quadratic

x  4. Not quadratic

x  5. Not quadratic

Step-by-step explanation:

A quadratic function is of the form
\(\large {ax^2 + bx + c}\)

where a, b and c are real-valued constants and a ≠ 0

b and c can be 0

The degree of a quadratic function (the highest exponent ) will be 2

#4 has has degree 1

#5 has degree 3

So only 1, 2 and 3 are quadratic functions

Answer:

About 8 (8.28059 to be exact)

Step-by-step explanation:

Answer:

$1500

Step-by-step explanation:

$1200 = x - .20x

$1200 = .80x

$1500 = x

Answer:

see below

Step-by-step explanation:

Angles opposite each other when two lines cross. (see attached)

in the attached example, the angle a° and b° are vertical angles.

Step-by-step explanation:

\(

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

⟶

−10

1

=

v

1

−

−30

1

⟶

v

1

=

−10

1

+

30

1

⟶

v

1

=

30

−3+1

⟶

v

1

=

30

−2

⟶

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

\)

Answer:

Erm

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

hope this helps