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The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Answer:

-3

Step-by-step explanation:

The volume of right rectangular prism = 42 1/2 cm³.

We have,

height of prism = 2 cm

width of prism = 5 cm

length of prism = 4 1/4 cm  

Now, The volume of right rectangular prism = Length × Width × Height

Substitute all the values, we get;

= 2 × 5 × 4 1/4

= 10 × 17/4

= 170/4 cm³

= 42 1/2 cm³

Thus, The volume of right rectangular prism = 42 1/2 cm³

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Answer:

48

Step-by-step explanation:

8 squarded is 64. 64-16=48

Answer:

48

Step-by-step explanation:

Since b = 8

8^2 - 16

64 - 16=48

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Answer:

$25,886.70

Step-by-step explanation:

Answer:

B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

Step-by-step explanation:

Remember we are told there's already a question whether pediatricians should recommend early exposure or avoidance. Thus, the research question should answer these two issues (early exposure or avoidance).

Hence, the question we are asking is: Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

Step-by-step explanation:

Espero que esto ayude.

Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

Step-by-step explanation: 56.52 in.

Answer: 56.52 Inches

Step-by-step explanation:

Step 1. Write down the formula for finding the circumference of a circle.

C=2r

Step 2. Next, we substitute the values of pi and r.

C=2(3.14)9

Step 3 (Final step). Finally, we Multiply everything to get C

C=56.52 Inches.

Hope this helps!

The order cycle length that would require the buyer to hold the most total inventory during lead time is 8 days with \(\pm\) 5 days of variation, as it has the widest range of variation, and thus, the most variability to be covered by safety stock.

The order cycle length and the variability in demand and lead time both affect the amount of inventory that a buyer needs to hold during lead time. The longer the order cycle length, the more inventory the buyer needs to hold during lead time to cover demand until the next order arrives. On the other hand, the greater the variability in demand and lead time, the more safety stock the buyer needs to hold to avoid stockouts.

We must take into account both the order cycle length and the fluctuation in demand and lead time to determine which of the mentioned order cycle lengths would need the buyer to keep the highest total inventory during lead time.

The order cycle lengths are:

10 days, \(\pm\) 4 days

10 days, \(\pm\) 2 days

9 days, \(\pm\) 3 days

8 days, \(\pm\) 5 days

The variability in demand and lead time is greater in the orders with wider ranges of variation. Therefore, we can calculate the range of variation for each order cycle length by adding the maximum variation in demand and the maximum variation in lead time:

10 days, \(\pm\) 4 days: range of variation = 4 + 4 = 8 days

10 days, \(\pm\) 2 days: range of variation = 2 + 2 = 4 days

9 days, \(\pm\) 3 days: range of variation = 3 + 3 = 6 days

8 days, \(\pm\) 5 days: range of variation = 5 + 5 = 10 days

Hence, the order cycle length with the greatest range of variation, and hence the most variability that needs to be covered by safety stock, is 8 days with \(\pm\) 5 days of fluctuation. This order cycle length would need the buyer holding the highest total inventory throughout lead time.

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A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer:

x=3

Step-by-step explanation:

5(2x-3)=15

10x-15=15

10x=30

x=3

Answer:

x=3

Step-by-step explanation:

5(2x -3) = 15

10x-15=15

10x-15+15=15+15

10x=30

To find the x divide 10 to 30 so that is why 30÷10=3.

The length of the square with a diagonal of 32 cm is 22.6 cm.

A square is a plane shape with all sides and angles equal.

To calculate the length of the square from its diagonal, we use Pythagoras formula

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for l

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Answer:

a

Step-by-step explanation:

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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Answer:

A=84 square yards

Step-by-step explanation:

A=1/2bh

A=1/2(7x24)

A=1/2(168)

A=84

Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

1st digit can be 1-9 which is 9 numbers

2nd digit can be 1-9 which is 9 numbers

3rd digit can be 4-7 which is 4 numbers.

Total combinations = 9 x 9 x 4 = 324

The cinnamon costs $9.60 per pound.

We have,

To find the cost of cinnamon per pound, we need to first calculate the cost of 1 ounce of cinnamon and then convert it to the cost per pound.

Sally paid $2.40 for 4 ounces of cinnamon, so the cost of 1 ounce is:

= $2.40 / 4

= $0.60

Now, we need to find the cost per pound.

Since there are 16 ounces in 1 pound, we can multiply the cost of 1 ounce by 16 to get the cost per pound:

= $0.60 * 16

= $9.60

Thus,

The cinnamon costs $9.60 per pound.

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The mean of the data set is 82.77

If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.

The first step is to arrange the data set orderly from smallest to largest;

70, 71,79, 82,88,85,87,91,92

We have nine values in the data set thus the mean is;

70+71+79+82+88+85+87+91+92/9= 745/9= 82.77

Hence the mean of the data set is 82.77

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The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.

Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.

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Step-by-step explanation:

13 hours

6 + 4 + 3 = 13

correct if wrong

Answer: The anwser is 300

Step-by-step explanation:

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

Answer:

∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

Step-by-step explanation:

Start with the Maclaurin series for cos x.

cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!

Substitute ⅓ x².

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

Multiply by 8x.

8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)