Jamal is comparing two different kinds of fruit at the store .He wants to buy the one that is the best value per pound. what is the cost per pound for each kind of fruit? Which kind of fruit gives him the best value per pound?

Jamal Is Comparing Two Different Kinds Of Fruit At The Store .He Wants To Buy The One That Is The Best

Answers

Answer 1

Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33


Related Questions

what does scaled version mean in this case its 3:5 scaled version but i just want to know what it means

Answers

A scaled version of any object is the object that has undergone a form of increment/enlargement or reduction has been made to the object. in the case of 3:5 scaled version, it tells you the ratio of increment or reduction that has happened to the object in comparison to the original object.

What is a scaled version using an example?

In the height of an object has a 30cm height and perhaps a 12 cm width. Using a scaled version ratio provided which is 3:5. The scaled version f the object would be

3/5 x 30 = 18cm

3/5 x 12 = 7.2cm

A second example is if a rectangular room with dimensions 10 feet by 15 feet and you want to scaled version of  3:5, it becomes  = 10 x (3/5) = 6 feet and 15 x (3/5) = 9 feet

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Write the expression as a single fraction: 3 sec(-x) +2.

Explain in detailed steps.

Answers

We have expressed the expression 3 sec(-x) + 2 as a single fraction (3 + 2cos(x))/cos(x).

What is expression?

In mathematics, an expression is a combination of symbols and/or numbers that represents a mathematical quantity or relationship. Expressions can be formed by combining variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

According to given information:

To write the expression 3 sec(-x) + 2 as a single fraction, we need to use some trigonometric identities and algebraic manipulation. Here are the steps:

Step 1: Recall that secant is the reciprocal of cosine, so we can rewrite the expression as:

3 (1/cos(-x)) + 2

Step 2: Cosine is an even function, which means that cos(-x) = cos(x). Therefore, we can simplify the expression to:

3 (1/cos(x)) + 2

Step 3: Recall that multiplying by the reciprocal is the same as dividing, so we can rewrite the expression as:

3/cos(x) + 2

Step 4: To add these fractions, we need a common denominator. The denominator of the first fraction is cos(x), and the denominator of the second fraction is 1. To get a common denominator, we can multiply the second fraction by cos(x)/cos(x):

3/cos(x) + 2(cos(x)/cos(x))

Simplifying the second term:

3/cos(x) + 2cos(x)/cos(x)

Step 5: Combining the fractions, we have:

(3 + 2cos(x))/cos(x)

Therefore, we have expressed the expression 3 sec(-x) + 2 as a single fraction (3 + 2cos(x))/cos(x).

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Find ||v-w||, if v = 5i - 2j and w = - 4i + 3j.

Answers

We can use the formula for the distance between two points in a plane to find the magnitude of the vector v-w:

||v-w|| = √[(v1-w1)^2 + (v2-w2)^2]

where v1 and v2 are the x and y components of vector v, and w1 and w2 are the x and y components of vector w.

Using the given values for v and w, we get:

v1 = 5, v2 = -2

w1 = -4, w2 = 3

Substituting these values into the formula, we get:

||v-w|| = √[(5-(-4))^2 + (-2-3)^2]

||v-w|| = √[(9)^2 + (-5)^2]

||v-w|| = √[81 + 25]

||v-w|| = √106

Therefore, the magnitude of the vector v-w is √106.

Infuse 0.8 liters for 9 hours at a drop factor of 60 gtt/ ml. how many ml will be infused per hour

Answers

According to the question of drop factor, the answer is 53.3ml that will be infused per hour.

What is drop factor?

Drop factor is a mathematical concept related to the concept of rate. It is a unitless coefficient used to adjust a given rate. Drop factor is commonly used to represent the rate of change in a linear equation, and can be used to calculate the rate at which a given value decreases over time. The drop factor is calculated by subtracting the previous value from the current value and dividing it by the change in time. This value can then be used to calculate the rate of change over time.

The calculation for the amount of ml that will be infused per hour is as follows:

Volume (L) x Drop Factor (gtt/ml) = Total Drops

0.8 L x 60 gtt/ml = 480 drops

Total Drops / Time (hours) = Drops/Hour

480 drops / 9 hours = 53.3 drops/hour

Since 1 drop is equal to 1 ml, this means 53.3 ml of fluid will be infused per hour.

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Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.



In the process, what is the total distance that Jeremy covers?

Answers

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

5. Find two equations of a circle if one of the end points of the diameter is at the origin and the radius is 3.

Answers

if one of the end points of the diameter is at the origin and the radius is 3 then the the equation of the circle in general form is:x² + y² - 3x = 0

What is Equation?

An equation is a statement that shows the relationship between two or more variables using mathematical symbols. It expresses the equality or inequality between the values of the variables on either side of the equation.

According to the given information :

Since one of the endpoints of the diameter is at the origin, we know that the center of the circle is also at the origin. Let (x, y) be any point on the circle. Then, using the distance formula, we have:

√(x² + y²) = 3

Squaring both sides, we get:

x² + y² = 9

So, the equation of the circle in standard form is:

x² + y² - 9 = 0

Another way to write the equation of the circle is in general form, which is:

x² + y² + Dx + Ey + F = 0

where D, E, and F are constants. To find the values of D, E, and F, we substitute the coordinates of one of the points on the circle into the general form equation:

(0)² + (0)² + D(0) + E(0) + F = 0

F = 0

So, the equation of the circle in general form is:

x² + y² + Dx + Ey = 0

To find the values of D and E, we substitute the coordinates of another point on the circle into this equation. Let's use the point (3, 0) since we know it lies on the circle. Substituting these values, we get:

(3)²+ (0)² + D(3) + E(0) = 0

9 + 3D = 0

D = -3

Therefore, the equation of the circle in general form is:

x² + y² - 3x = 0

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Megan surveyed the 8th grade to find which school activities they attended last weekend. The results are shown in the two-way table.

Answers

The valid conclusions about the data being surveyed is Option A: Of the students who attended the basketball game, fewer than half of them also attended the school play.

What is a survey?

Questioning a group of people in a survey is one way to collect information from them. Surveys can be carried out using a variety of methods, including paper and pencil, online forms, the telephone, or in-person interviews.

A. Of the students who attended the basketball game, fewer than half of them also attended the school play. (True)

To calculate this, we need to divide the number of students who attended both the basketball game and the school play (55) by the total number of students who attended the basketball game (118).

55/118 = 0.466 = 46.6%, which is less than half.

B. More than half of the students who were surveyed attended the school play and did not attend the basketball game. (False)

To calculate this, we need to add up the number of students who attended the school play and did not attend the basketball game (63) and divide by the total number of students surveyed (221).

63/221 = 0.285 = 28.5%, which is less than half.

C. Students who attended the school play were more likely not to attend the basketball game. (False)

To calculate this, we need to compare the number of students who attended the school play and did not attend the basketball game (63) to the number of students who did not attend the school play and did not attend the basketball game (15).

63/78 = 0.808 = 80.8% and 15/78 = 0.192 = 19.2%. Since 80.8% is greater than 19.2%, we can conclude that students who attended the school play were more likely to attend the basketball game.

Therefore, valid conclusions is A.

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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?​

Answers

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Will using name-brand microwave popcorn result in a greater
percentage of popped kernels than store- brand microwave popcorn?
To find out, Briana and Maggie randomly selected 10 bags of name-
brand microwave popcorn and 10 bags of store-brand microwave
popcorn. The chosen bags were arranged in random order. Then each
bag was popped for 3.5 minutes, and the percentage of popped kernels
was calculated. The data are displayed in the table.
Name brand 95
95 88 84 94 81 90 97 93 91 86
Store brand
91 89 82 82 77 78 84 86 86 90

Answers

Accordingly, utilising name-brand microwave popcorn rather than store-brand microwave popcorn is anticipated to yield a higher percentage of popped kernels based on the results of this study.

Test statistic: What is it?

A test statistic is a numerical summary of a sample used in statistics to evaluate the strength of the evidence presented by the data in support of a certain conjecture about the population from which the sample was taken. A test statistic determines how many standard errors the observed data deviates from the predicted value by comparing it to what would be expected under the null hypothesis. To ascertain if an observed effect or difference between groups is the result of chance or if it is statistically significant, test statistics are employed in hypothesis testing.

Here,

We can compare the mean percentage of popped kernels between the two groups using a hypothesis test to see if using name-brand microwave popcorn yields a higher proportion of popped kernels than store-brand microwave popcorn.

Let μ1 be the mean percentage of popped kernels for name-brand microwave popcorn and μ2 be the mean percentage of popped kernels for store-brand microwave popcorn.

The null hypothesis states that there is no distinction between store-brand and name-brand microwave popcorn in terms of the mean percentage of popped kernels:

H0: μ1 - μ2 = 0

The alternate theory is that name-brand microwave popcorn has a mean percentage of popped kernels that is higher than that of store-brand microwave popcorn:

Ha: μ1 - μ2 > 0

This hypothesis can be examined using a two-sample t-test with unequal variances. For a one-tailed test with 18 degrees of freedom and a significance threshold of 0.05, the crucial t-value is 1.734.

Based on the information provided, we can determine that the sample mean percentage of popped kernels for name-brand microwave popcorn is 90.9% with a sample standard deviation of 5.09% and the sample mean percentage of popped kernels for store-brand microwave popcorn is 85.9% with a sample standard deviation of 4.67%.

We can calculate the test statistic as follows:

t = (x1 - x2 - 0) / √(s1²/n1 + s2²/n2)

t = (90.9 - 85.9) / √((5.09²/10) + (4.67²/10))

t = 2.26

We can reject the null hypothesis and come to the conclusion that there is enough evidence to support the claim that using name-brand microwave popcorn results in a greater percentage of popped kernels than store-brand microwave popcorn at the 0.05 level of significance because the calculated t-value (2.26) is greater than the critical t-value (1.734).

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a probability experiment consists of rolling a fair 8-sided die. Find the probability of the event below. rolling a 3

Answers

On a fair 8-sided die, the probability of rolling a 3 is 1/8, or 0.125, which is equivalent to 12.5% in percentage terms.

What is probability?

The possibility or likelihood that an event will occur is measured by probability.

A number between 0 and 1, where 0 indicates that the occurrence is hypothetical and 1, meaning it is inevitable, is used to express it.

To put it another way, probability is the ratio of likely outcomes to real outcomes that pertain to a particular occurrence.

Every result (rolling any number from 1 to 8) is equally likely since the die is fair.

There are only two ways to roll a 3, and there are a total of eight outcomes.

As a result, the probability of rolling a 3 is:

P(rolling a 3) = 1/8

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Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?

Answers

Answer:

[tex]\huge\boxed{\sf 38}[/tex]

Step-by-step explanation:

Given expression:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

= 38

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

QUICK I’LL MARK YOU BRAINLIEST!! HELP ME FILL OUT THE SCRAMBLE WORD ON TOP!

Answers

Answer:

it can be rewritten as a percent

Step-by-step explanation:

Question 5 of 10
If your starting salary is $50,000 and you receive a 4% increase at the end of
every year, what is the total amount, in dollars, you will earn over the first 16
years that you work?
Round your answer to the nearest whole dollar, and express your answer
without using commas.
Answer here

Answers

Answer:

80000

Step-by-step explanation:

4% increase of 50000 is 2000 at the end of each year

so 2000*16=32000

50000+32000=82000

nearest whole dollar is 80000

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?


? milliliters of compound A

Answers

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

What do you mean by compound?

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Boris drove 360 miles in 5 hours.
At the same rate, how long would it take him to drive 936 miles?

Answers

Answer:

The answer is 13hours

Step-by-step explanation:

360miles------>5hours

936miles------->x hours

crossmultiply

x×360=936×5

360x=4680

divide both sides by 360

360x/360=4680/360

x=13hours

Triangle D has been dilated to create triangle D′. Use the image to answer the question. image of a triangle labeled D with side lengths of 3.6, 4.8, 5.2 and a second triangle labeled D prime with side lengths of x, 1.2, 1.3 Determine the scale factor used. 4 3 one third one fourth

Answers

The scale factor used is Option B: One fourth.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

To find the scale factor, we can compare any corresponding side lengths between the original triangle and the dilated triangle.

Let's choose the longest side of triangle D, which is 5.2, and compare it to the longest side of triangle D′, which is x.

We know that a dilation multiplies all corresponding side lengths by the same factor, so -

scale factor = length of corresponding side in D′ / length of corresponding side in D

scale factor = x / 5.2

We don't have enough information to find x directly, but we can use the fact that the other two corresponding side lengths are 1.2 and 1.3.

Since the side lengths of triangle D were scaled by the same factor, we can set up the following equation -

1.2 / 3.6 = 1.3 / 4.8 = x / 5.2

Simplifying the equation -

0.3333... = 0.2708... = x / 5.2

x = 5.2 × 0.2708...

x ≈ 1.41

Now we can find the scale factor -

scale factor = x / 5.2 ≈ 1.41 / 5.2 ≈ 0.271

Therefore, the scale factor used was approximately 0.271.

Answer: One fourth.

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Answer:

1/4

Step-by-step explanation:

The before that answered first was correct! I also took the quiz so you guys dont have to!

If angle K measures 110°, angle J equals 36°, and k is 70 feet, then find j using the Law of Sines. Round your answer to the nearest tenth.

Answers

Answer:

  43.8 feet

Step-by-step explanation:

In a triangle with angle K = 110°, J = 36°, and k = 70 feet, you want the measure of side j using the law of sines.

Law of sines

The law of sines tells you side lengths in a triangle are proportional to the sine of the opposite angle. This means ...

  j/sin(J) = k/sin(K)

  j = k·sin(J)/sin(K) = (70 ft)·sin(36°)/sin(110°)

  j ≈ 43.8 ft

The length of side j is about 43.8 feet.

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the average person burns approximately 250 calories per half-hour while bicycling.if a person does 1.5 hours of bicycling per day then how many calories will they burn in a week if they work out 5 days a week?

Answers

If a person does 1.5 hours of bicycling per day for 5 days a week, they would burn approximately 3,750 calories in a week.

What is average calories?

A person's age, gender, height, weight, and level of activity determine the average number of calories they need to consume each day to meet their energy needs and maintain their weight.

Individual factors such as age, gender, weight, height, and level of activity influence the average calorie intake.

If an average person burns 250 calories per half-hour while bicycling, then they would burn 500 calories per hour of bicycling.

So, if a person does 1.5 hours of bicycling per day, they would burn 1.5 x 500 = 750 calories per day.

If they work out 5 days a week, then the total number of calories burn in a week would be:

750 calories/day x 5 days/week = 3,750 calories/week

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what is the area of a circle with the diameter of 22 in with pi and a=Nr 2

Answers

Answer:

380.1327 square units

Step-by-step explanation:

A=pi*r^2

A=pi*121

A=380.1327

Write an equation in slope-intercept form for the graph shown.

Answers

Answer: y = 2x - 2

Step-by-step explanation:

you can see two points on the graph:

(0, -2) and (3, 3)

Using these to calculate the slope gives us:

(3+2)/(3-0) = 6/3 = 2

the y intercept is -2 as we can see

so the equation in slope intercept form is:

find the sum


-11 +3 + (-6)

Answers

Answer: -14

Step-by-step explanation:

Break up the question.

(-11 + 3) + (-6)

   V           V

  (-9)       (-14)

-11 + 3 = -9

-9 + (-6) = -14

Answer:

The answer is -14

Step-by-step explanation:

-11+3+(-6)

= -11+3-6

= -14

Which inequality represents the graphed region in factored form?

y less-than-or-equal-to negative .25 (x + 12)(x minus 8)
y less-than-or-equal-to negative 4 (x minus 12)(x + 8)
y less-than-or-equal-to negative 4 (x + 12)(x minus 8)
y less-than-or-equal-to negative .25 (x minus 12)(x + 8)

Answers

The correct inequality that represents the graphed region in factored form is: option a.) [tex]y \leq -0.25 (x + 12)(x - 8)[/tex]

How to check if inequality represents the graphed region in factored form?[tex]y \leq -0.25 (x + 12)(x - 8)[/tex]: represents a region below or on the graph of the quadratic function with factors [tex](x + 12)(x - 8)[/tex], and the coefficient of y is -0.25.[tex]y \leq -4 (x - 12)(x + 8)[/tex]: represents a region below or on the graph of the quadratic function with factors[tex](x + 12)(x - 8)[/tex], and the coefficient of y is -4.[tex]y \leq -4 (x + 12)(x - 8)[/tex]: represents a region below or on the graph of the quadratic function with factors [tex](x + 12)(x - 8)[/tex], and the coefficient of y is -4.[tex]y\leq -0.25 (x - 12)(x + 8)[/tex]: represents a region below or on the graph of the quadratic function with factors[tex](x - 12)(x + 8)[/tex], and the coefficient of y is -0.25.

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how many batches of tires does the company have to manufacture and sell to have a profit of -$190,000?

Answers

Answer:

The profit equation is

Profit = Revenue - Cost

Let's assume the revenue per batch is $50,000 and the cost per batch is $35,000. Then the profit equation becomes:

Profit = ($50,000 x number of batches) - ($35,000 x number of batches)

Profit = $15,000 x number of batches

We want to find the number of batches that will give a profit of -$190,000, so we can set up the equation:

-$190,000 = $15,000 x number of batches

Solving for the number of batches, we get:

number of batches = -$190,000 / $15,000

number of batches = -12.67

This indicates that the firm would have to produce and sell around 13 batches of tyres in order to make a -$190,000 profit. However, because you can't produce and sell a fraction of a batch, the corporation would have to sell at least 14 batches to make the needed profit.

College Algebra Function Question please help! Will mark brainliest!!!!!!!!!!!

Answers

a). The formula for g, which determines x's half, is g(x) = 1/2 x

b). f(x) = x + 2

c). (fog)(x) = 1/2 x + 2

d). (fog) (52) = 28

What is a Function?

The relationship between two sets of data, known as the input and output, is described mathematically by a concept known as a function.

An operation is applied to an input value by a function, which then produces an output value that matches the input value.

a). The formula for g, which determines x's half, is g(x) = 1/2 x

b). The formula for adding 2 to x is: f(x) = x + 2

c). Plugging g(x) into f(x) yields the function (fog)(x), which is as follows:

(fog)(x) = f(g(x))

f(1/2 x) = 1/2 x + 2

d). We must evaluate (fog)(52) to obtain the sale price of a shirt with an original cost of $52 as follows:

= (fog) (52) = 1/2(52) + 2

= 26 + 2

= 28

Thus, the shirt's ultimate retail price is $28.

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A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?

Answers

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

Question about Convolution Sum

Let [tex]y[n] = x[n] * h[n][/tex], show that [tex]x[n - n_1] * h[n - n_2] = y[n - n_1 - n_2][/tex]

Answers

It is proved that [tex]x[n-n_1] × h[n-n_2] = y[n-n_1-n_2][/tex]

How to prove [tex]x[n-n_1] × h[n-n_2] = y[n-n_1-n_2][/tex]?

To prove that [tex]x[n-n_1] × h[n-n_2] = y[n-n_1-n_2][/tex] , we need to express the convolution sum of

[tex]x[n-n_1] \: and \: h[n-n_2][/tex], and then simplify it to obtain [tex]y[n-n_1-n_2][/tex]

Let's start by expressing the convolution sum of [tex]x[n-n_1] \: and \: h[n-n_2][/tex]

:[tex]x[n-n_1] ×h[n-n_2] = ∑ x[k-n_1] × h[n-n_2-k][/tex] where the summation is over all possible values of k.

Now, we can replace k with [tex]n - n_1 - m[/tex], which gives:

[tex]x[n-n_1] × h[n-n_2] = ∑ x[n-n_1-m] × h[n-n_2-n+n_1+m][/tex]

Next, we can rearrange the terms inside the summation to obtain:

[tex]x[n-n_1] × h[n-n_2] = ∑ x[n-m] × h[n-n_1-n_2+m][/tex]

Notice that the expression inside the summation is identical to the definition of y[n], so we can replace it with y[n] and simplify:

[tex]x[n-n_1] × h[n-n_2] = ∑ x[n-m] × h[n-n_1-n_2+m] = ∑ y[n-m] [/tex]

The last expression is the convolution sum of x[n] and h[n], which we know equals y[n]. Therefore:

[tex]x[n-n_1] × h[n-n_2] = y[n-n_1-n_2][/tex]

And we have proven that [tex]x[n-n_1] × h[n-n_2] = y[n-n_1-n_2][/tex]

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Drag equivalent fractions into the correct boxes.
2
4

2
3

6
8

2
6

4
8

3
4

1
3

4
6

Answers

The equivalent fractions when paired up would be:

2 / 4 - 4 / 8 2 / 3 - 4 / 6 6 / 8 - 3 / 4 2 / 6 - 1 / 3

How to find the equivalent fractions ?

We must first simplify each fraction before categorizing them according to their simplified form in order to couple equivalent fractions. Since 2/4 and 4/8 may both be reduced to 1/2, they are equal.

The same is true of 2/3 which may be reduced to 4/6, they are both equivalent. 3/4 is the same as 6/8, they are equivalent.

Since 1/3 may be simplified to 2/6, they are equivalent.

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According to the information, the classification of the fractions would be: 3/4 = 6/8, 1/3 = 2/6, 4/6 = 2/3

How to classify the fractions in the correct option?

To classify the fractions in the correct option box we can carry out two procedures. The first one is to simplify the fractions to identify which ones are equivalent to those in the boxes. On the other hand, we can do the divisions of the fractions and those that have the same results go in the same box. According to the above, the fractions are classified as follows:

3/4 = 6/81/3 = 2/64/6 = 2/3

Note: This question is incomplete. Here is the complete information:

Attached image

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Find the product. Simplify the answer. 10 4 X 15 7​

Answers

Answer:

Step-by-step explanation:

if this is decimals, I can totally do this. 10.4 x 15.7 = 163.28

look at the file attached

Which function has the graph shown?
OAY COS
B. y -cos.x
● C. yin x
D. y sin (x)
f

Answers

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Which function is the graphed one?

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Mr burns built a wooden platform for the drama club at the school where he teaches the shape below represents the dimensions of this wooden platform picture is not to scale

Answers

The area of the wooden platform built by Mr. Burns for the drama club at the school is 288 square feet.

What are the dimensions of a rectangle?

A rectangle has two dimensions: a length and a width that are both perpendicular to it. An oval's or a triangle's interior likewise has two dimensions.

The area of a rectangle is determined by dividing its length by its width. Accordingly, the platform's area can be determined as follows:

Area = Length x Width

Area = 24 feet x 12 feet

Area = 288 square feet

Therefore, the area of the wooden platform built by Mr. Burns for the drama club at the school is 288 square feet.

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