for each meal purchased at a restaurant, all customers are allowed to randomly select one of three discount tickets. the tickets are all equally likely to be selected and consist of discounts for $1, $3, or $5 on the next purchase of a meal. a customer purchased two meals. the customer will select one discount ticket, replace it, and then select a second discount ticket. what is the probability that the customer will select two tickets with discounts of $3 and $5 ?

Answer:

c-4 is less than or equal to -19

Step-by-step explanation:

Because it says the word difference you know that those those integers will be a subtracted.

Answer: See explanation

Step-by-step explanation:

One inch is around 2 11/20 centimeters. Therefore, 3 inches would be:

= 3 × 2 11/20

= 3 × 51/20

= 153/20

= 7 13/20

What fraction of an inch is 1 centimeter?

This will be:

= 1 cm / 1 inch

= 1 ÷ 2 11/20

= 1 ÷ 51/20

= 1 × 20/51

= 20/51 inch

The quantity of kilojoules of heat could be transferred to sore muscles is 99.79 kilojoules.

In Mathematics and Science, quantity of heat added to a physical substance can be calculated by using this mathematical equation (formula):

Q = mcθ

Where:

The quantity of heat lost by water = quantity of heat heat gained by sore muscles

Q = 795 × 4.184 × (67 - 37)

Q = 99,788.4 Joules.

Q = 99,788.4/1000

Q = 99.79 Kilojoules.

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The number of inches traveled per minute is 0.9167 inch/min and the number of minutes per inch is 1.0908 min/inch

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that,

The snail in the race traveled 11/6 inches in 2 minutes.

Therefore,

The number of inches per minute = (11/6)/(2)

= 11/12

= 0.9167 inch/min

And,

The number of minutes per inch is equal to = 1/(inch per min)

= 1/0.9167

= 1.0908 min/inch

Hence, the number of inches traveled per minute is 0.9167 inch/min and the number of minutes per inch is 1.0908 min/inch

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The future value of the loan is approximately $10,070.29.

To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time

Given:

Principal (P) = $6000

Rate (R) = 8% per year (0.08 as a decimal)

Time (T) = 6 months (0.5 years)

Plugging in the values into the formula:

Interest = $6000 × 0.08 × 0.5 = $240

Therefore, the interest on the loan is $240.

To find the future value of the loan, we can use the formula for simple interest:

Future Value = Principal + Interest

Given:

Principal (P) = $6000

Interest = $240

Plugging in the values into the formula:

Future Value = $6000 + $240 = $6240

Therefore, the future value of the loan is $6240.

For the second scenario:

Given:

Principal (P) = $9275

Rate (R) = 7.57% per year (0.0757 as a decimal)

Time (T) = 13 months (13/12 years)

To find the interest, we can use the same formula:

Interest = Principal × Rate × Time

Plugging in the values into the formula:

Interest = $9275 × 0.0757 × (13/12) = $795.29

Therefore, the interest on the loan is approximately $795.29.

To find the future value of the loan, we can use the same formula as before:

Future Value = Principal + Interest

Plugging in the values into the formula:

Future Value = $9275 + $795.29 = $10,070.29

Therefore, the future value of the loan is approximately $10,070.29.

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Answer:

c

Step-by-step explanation:

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:

5x² + 5x + 9

Step-by-step explanation:

(3x + 4) + ((5x² - 1) + (2x + 6))

Remove parenthesis

3x + 4 + 5x² - 1 + 2x + 6

Group like terms

5x² + 3x + 2x + 4 - 1 + 6

Subtract 1 from 4

5x² + 3x + 2x + 3 + 6

Add 3 and 6

5x² + 3x + 2x + 9

Combine like terms

5x² + 5x + 9

Answer: 5x² + 5x + 9

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

When driving in normal conditions on a rural roadway, your following distance should be four seconds or more because it gives you more time to respond to any unexpected occurrences that might occur. therefore option d) four seconds or more is correct.

Following distance is the amount of space between a car and the car in front of it when driving on the road. It's essential to keep a safe following distance because it gives you more time to react if the car in front of you makes a sudden stop or starts to slow down. It's critical to keep a safe following distance because it's not always possible to avoid sudden stops or slow-downs.

A rural roadway is a road that runs through the countryside. In comparison to city roads, rural roads are less congested, with less traffic and less likelihood of accidents. As a result, it's essential to maintain a safe following distance when driving on rural roads because they're often long and wide, with higher speed limits and less congestion than city roads.

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

In this example, the group of 20 people surveyed was the study's sample.

The researcher conducted a longitudinal study, tracking the social adjustment of the same group of 20 individuals from early childhood to adulthood. By using the same group over an extended period, the researcher aimed to observe and analyze the changes in social adjustment within this specific sample.

A sample refers to a subset of individuals or elements taken from a larger population for the purpose of conducting research or drawing conclusions. In this case, the 20 people surveyed represent the sample on which the study focused. The researcher likely chose this group carefully to ensure it was representative of the population they wanted to study and that the findings would be applicable to a broader context.

By following this group's social adjustment over time, the researcher can gain insights into the developmental trajectory of social skills, relationships, and adaptability. This longitudinal approach allows for a deeper understanding of how social adjustment evolves from childhood to adulthood within the selected sample, contributing valuable information to the field of research.

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Answer:

50

Step-by-step explanation:

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Step-by-step explanation:

The length of any side of a triangle must be less than the sum of the other 2 sides of the triangle.

Let x be the length of the 3rd side. Then we have constraints 5 + 12 > x and 5 + x > 12.

This gives 17 > x and x > 7, hence the answer is 7 < Length of the 3rd side < 17.

The child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.

The given problem requires us to determine the number of milliliters of a liquid medicine that a child should receive in order to obtain a specific dosage of the active ingredient. We are given that the medicine contains 100 mg of the active ingredient in 5 ml.

The child needs to receive 300 mg of the active ingredient, and there are 100 mg of the active ingredient in 5 ml of the medicine. Therefore, the child should be given:

\(\frac{300 mg}{100mg/5ml} = \frac{300\text{ mg} \times 5\text{ ml}}{100\text{ mg}} = 15\text{ ml}$$\)

So the child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.

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The statement is true. In the context of vector calculus, the dot product between two vectors u and v is defined as the product of their magnitudes and the cosine of the angle between them.

The dot product satisfies the distributive property and is linear with respect to scalar multiplication, which means that for any scalar c and vectors u and v, we have:

u · (cv) = c(u · v)

This equation states that taking the dot product between vector u and the scalar multiple cv is equivalent to multiplying u by the dot product between u and v scaled by c.

This property is useful in many applications of vector calculus, including the computation of work and the projection of vectors onto subspaces. It is also used in the definition of the norm and the inner product of vectors.

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The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

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Answer:

i pretty sure its. its choice 3

Answer:

The answer is choice 4, because the triangles are not congruent and the sizes are different.

Step-by-step explanation:

Answer:

The answer would be y=-5/3x-5!

Step-by-step explanation:

You want to make the equation to y=mx+b, so you have to make y by its self. Subtract 5x from both sides and you'll get 3y=-5x-15. Now divide 3 by both sides and you'll get y=-5/3x-5 which would be the answer!

Answer:

y=(-5/3)x-5

Step-by-step explanation:

so the slope intersect form is y=mx+b

3y+5x=-15

subtract 5x from both sides

3y= -5x-15

divide both sides by 3

y= (-5/3)x - 5

A process of analysing, purifying, manipulating, and modelling data in order to find relevant information, come to conclusions, and enhance decision-making is known as data analytics.

It entails posing queries and providing answers utilising quantitative and statistical methods for explanatory and prescriptive analysis. Descriptive, diagnostic, predictive, and prescriptive analytics are the four basic categories of data analysis.

Diagnostic analytics is used to determine the reason why something occurred, whereas descriptive analytics is used to report what has already occurred.

The use of predictive analytics, on the other hand, enables the prediction of likely future events. Last but not least, prescriptive analytics is employed to decide what steps should be taken in order to accomplish a particular result or goal in light of the knowledge gleaned from descriptive, diagnostic, and predictive analytics.

By using these different types of analytics, individuals will be able to gather and analyze data to better understand trends, identify problems, and make informed decisions.

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Answer:

Step-by-step explanation:

STEP

1

:

           x

Simplify   —

           x

Equation at the end of step

1

:

 (3•(x2))

 ————————+((6•1)-8)

  (x-8)  

STEP

2

:

Equation at the end of step

2

:

   3x2      

 ——————— +  -2

 (x - 8)    

STEP

3

:

            3x2

Simplify   —————

           x - 8

Equation at the end of step

3

:

  3x2    

 ————— +  -2

 x - 8    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  (x-8)  as the denominator :

         -2     -2 • (x - 8)

   -2 =  ——  =  ————————————

         1        (x - 8)  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x2 + -2 • (x-8)     3x2 - 2x + 16

————————————————  =  —————————————

   1 • (x-8)          1 • (x - 8)

Trying to factor by splitting the middle term

4.3     Factoring  3x2 - 2x + 16

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +16

Step-1 : Multiply the coefficient of the first term by the constant   3 • 16 = 48

Step-2 : Find two factors of  48  whose sum equals the coefficient of the middle term, which is   -2 .

     -48    +    -1    =    -49

     -24    +    -2    =    -26

     -16    +    -3    =    -19

     -12    +    -4    =    -16

     -8    +    -6    =    -14

     -6    +    -8    =    -14

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

\((x,y)\to (-(x-a)+a,y)\)

\((x,y)\to (-x+a+a,y)\)

\((x,y)\to (-x+2a,y)\)

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

\((x,y)\to (-x+2(2),y)\)

\((x,y)\to (-x+4,y)\)

Using this rule, we get

\(A(-3,4)\to A'(-(-3)+4,4)\)

\(A(-3,4)\to A'(3+4,4)\)

\(A(-3,4)\to A'(7,4)\)

Similarly,

\(B(-1,4)\to B'(5,4)\)

\(C(-1,-1)\to C'(5,-1)\)

\(D(-3,-1)\to D'(7,-1)\)

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

\(6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467\)

Answer:

2, -1

Step-by-step explanation:

Edge2022

Answer:

2, -1

Step-by-step explanation:

That seems like what the midpoint is to the picture

x = 14

height = x

base 1 = 98

base 2 = 2

Using altitude formula in geometric mean:

base 1/height = height/base 2

98/x = x/2

Answer:

1:4:3

Step-by-step explanation:

Hope that helps.

Have a good day and stay safe!

Answer: 1 : 4 : 3

Step-by-step explanation:

Their greatest factor is 3 so you had to divide all by 3.

3 ÷ 3 = 1

12 ÷ 3 = 4

9 ÷ 3 = 3