1. Judy took $15 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks
I cant figure it out-

There are 45 handshakes that can be made between 10 people.

According to the given question.

Number of people invited in a party = 10

As we know that

The formula for the number of handshake possible with n people is given by

Number of handshakes = n(n -1)/2

This is because each of the people can shake with n -1 (they would not shake their own hand), and the handshake between two people in not counted twice.

Therefore, the number of hands each person shook

= 10(10 -1)/2

= 10(9)/2

= 45

Hence, there are 45 handshakes that can be made between 10 people.

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Answer: I believe it's 30 vehicles

Step-by-step explanation:

If you divided by 40 you get 30. There's for 4 rows of 10 which is 40 so you would divide, I think? I hope this helps! Been so long since I did this math.

Answer:

\(\\y=3x+4\\\)

Step-by-step explanation:

The slope represents the variable hourly rate being charged, where as $4 represents a fixed cost.

\(22=3(6)+4\)

because x is your hours rented, you plug 6 in for x and solve.

Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

Graph D

Step-by-step explanation:

5x-2y=20

-2y=-5x+20

y=5/2x-10

Hope this helps!

False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.

Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.

To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.

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see the figure below to better understand the problem

we have that

If XY is parallel to BC

then

Triangle ABC is similar to triangle DBE

Remember that

If two triangles are similar, then the ratio of their corresponding sides is proportional and their corresponding angles are congruent.

I will assume that triangle ABC is a right triangle

so

AB^2+AC^2+BC^2

BC^2=9^2-8^2

BC^2=17

BC=√17

Applying proportion

DE/AC=BE/BC

substitute given values

DE/9=2/√17

DE=(2/√17)*9

DE=4.37

therefore

Answer:

7

Step-by-step explanation:

42/6=7

31.8 kilograms is equivalent to 31,800 grams.

The correct answer is (D) 31,800 grams.

To convert kilograms to grams, we multiply the number of kilograms by 1000. So, to convert 31.8 kilograms to grams, we can use the following formula:

31.8 kilograms x 1000 grams/kilogram = 31,800 grams

Therefore, 31.8 kilograms is equivalent to 31,800 grams.

To convert kilograms to grams, we need to multiply the number of kilograms by 1000 because there are 1000 grams in one kilogram. In this case, Eddie's dog weighs 31.8 kilograms. To find out how many grams this is, we simply multiply 31.8 by 1000, which gives us 31,800 grams. Therefore, 31.8 kilograms is equivalent to 31,800 grams. It's important to understand the basic metric system conversions, like kilograms to grams, as they are commonly used in everyday life, particularly when it comes to measuring weight. Knowing how to make these conversions can be helpful in many different situations, from cooking and baking to medical and scientific contexts.  

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Answer:

153.94 cm

Step-by-step explanation:

a = r^pi squared

r = d/2

7^pi = 21.98

21.98 squared = 153.94 cm

Answer:

see below

Step-by-step explanation:

The diameter is 14 cm

The radius is 1/2 of the diameter

r = d/2 = 7cm

We want to find the area

A = pi r^2 where r is the radius

If pi = 3.142

A = 3.142 ( 7)^2

A =153.958 cm^2

If pi = 3.14

A = 3.14 ( 7)^2

A =153.86 cm^2

Depends on the value of pi

The slope of the line is the coefficient of x in eqn(1), which is, - 3.

The solution is -3

The area of a circle is given by:

Where π ≅ 3.14 and d is the diameter of the circle.

Now, a semi-circle is a half of a circle, so its area is half of the area of the complete circle:

Replacing the value d = 14 in the last formula, we get:

Answer

The area of a semicircle with a diameter d =14 is approximately 76.97 units square.

Answer:

B. $145.00

Step-by-step explanation:

4(x+15)= 640

or, 4x+60=640

or, 4x = 640-60

or, 4x = 580

or, x = 580/4

x= 145

The 95% confidence interval for a person's weight gain, measured in pounds, is approximately -6.22 to 25.60 pounds.

To determine the 95% confidence interval for weight gain, we can use the given equation: Whighi = (-94.4395) + (3.7430 × 140.ghtR). Here, Whighi represents weight gain in pounds and 140.ghtR represents the weight measured in lehes.

First, let's calculate the standard error (SE) using the formula: SE = √[(2.0425)² × (0.2945)²]. Plugging in the values, we get SE ≈ 0.609.

Next, we can calculate the margin of error (ME) by multiplying the SE with the critical value corresponding to a 95% confidence level. As the equation provided does not explicitly state the critical value, we'll assume it to be 1.96, which is commonly used for a 95% confidence level. Therefore, ME ≈ 1.96 × 0.609 ≈ 1.196.

Now, we can construct the confidence interval by adding and subtracting the ME from the mean weight gain. The mean weight gain can be found by substituting the given weight measurement of 140.ghtR into the equation Whighi = (-94.4395) + (3.7430 × 140.ghtR). Calculating the mean weight gain, we get ≈ 25.60 pounds.

Thus, the 95% confidence interval for a person's weight gain is approximately -6.22 to 25.60 pounds. This means we are 95% confident that the true weight gain for a person lies within this interval.

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When there qre 240scoops and that there are 12 gumdrops per scoop, the number of gumdrop is 20 per scoop.

From the information, it was stated that there are 240scoops and that there are 12 gumdrops per scoop.

Therefore, the number in each scoop will be

= Total scoops /Number of gumdrop

= 240 / 13

= 20

Therefore, there are 20 gumdrops.

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There are 240scoops. If there are 12 gumdrops per scoop how much is each scoop

Answer:

after 60 seconds = 1 minute ,they will together for the first time.

Step-by-step explanation:

Three bells toll at an interval of 4,5 and 6 second.

They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)

4 = 2*2

5= 5*1

6 = 2*3

LCM  of these three number will be multiple of highest power of each prime number

highest power of 2 in the above problem 2^2

3 = 3

5 = 5

Thus, LCM 2^2 * 3*5 = 60

Thus, after 60 seconds they will together for the first time.

Then they will toll together after each interval of 60 seconds together.

It would take Tracy and Dave approximately 4.8 hours to complete the task together. So, the correct option is C.

To solve this problem, we can use the formula:

time = work / rate

where work is the amount of work to be done (in this case, collecting signal strength data from each house), and rate is the rate at which the work is being done.

Let's start by finding Tracy's and Dave's individual rates:

Tracy's rate: 1 job / 8 hours = 0.125 jobs per hour

Dave's rate: 1 job / 12 hours = 0.0833 jobs per hour

Now, let's find their combined rate when they work together:

Combined rate = Tracy's rate + Dave's rate

Combined rate = 0.125 + 0.0833

Combined rate = 0.2083 jobs per hour

Finally, we can use the formula time = work / rate to find how long it would take them to complete the task together:

time = 1 job / 0.2083 jobs per hour

time ≈ 4.8 hours

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Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

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The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.

Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s

Substituting r² = s²/2,

\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)

Now, substituting r² = s²/2,

dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)

Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),

dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute

Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.

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Answers:

x = 40 and y = 40

========================================================

Explanation:

The three angles involving x add up to 180 since they form a straight line or straight angle.

3x+0.5x+x = 180

4.5x = 180

x = 180/(4.5)

x = 40

Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.

0.5x = 0.5y

x = y

40 = y

y = 40

In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.

Answer:

/??????

Step-by-step explanation:

Answer:

I belive it is 7,885

Step-by-step explanation:

Answer:

The answer is B, -5 is a rational number and integer! :)

Step-by-step explanation:

Answer: My guess is integer only

Step-by-step explanation:

Solution

Finding the L C M

The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) . For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.

Question 4

First list all the multiples

4 = 4, 8 12, 16, 20, 24,28,32,36,42...

7= 7, 14 , 21, 28, 35, 42, 49...

The L C M of 4 and 7 is 28

Question 5

First list all the multiples

6 = 6, 12,18, 24,30,36,42,48...

8= 8,16,24,32,40,48,56...

The L C M of 6 and 8 is 24

Question 6

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

The equation of the plane containing the curve with the vector equation r(t) = 6t, sin(t), t⁴ can be determined by finding two vectors that lie on the plane and taking their cross product.

To find the equation of the plane, we need to find two linearly independent vectors that lie on the plane. Since the given vector equation r(t) = 6t, sin(t), t⁴ represents a curve, we can differentiate it to obtain two vectors tangent to the curve. Taking the derivative of r(t), we have r'(t) = 6, cos(t), 4t³.

Next, we can choose two values of t, plug them into r'(t), and obtain two vectors that lie on the plane. For example, if we let t = 0 and t = 1, we have r'(0) = 6, cos(0), 0 and r'(1) = 6, cos(1), 4. These two vectors are linearly independent and lie on the plane.

Finally, we can take the cross product of the two vectors r'(0) and r'(1) to obtain a normal vector to the plane. The cross product yields a vector (-4cos(1), -24, 6cos(1)). Using this normal vector and a point on the curve (6(0), sin(0), 0⁴), we can write the equation of the plane in the form Ax + By + Cz = D, where A, B, C, and D are the components of the normal vector.

In conclusion, by finding two vectors tangent to the curve, taking their cross product, and using a point on the curve, we can determine the equation of the plane containing the given vector equation.

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Answer:

1. B

2. C

3. A

4. D

5. C

Step-by-step explanation:

Answer:Hx5, K-9, P-5, Z-8, Ux5+8

Step-by-step explanation: