The slope of the line that represents the data nicholas collected is -63, and the y- intercept is 825. explain what these represent in the context of the situation. remember that x is the number if days, and y is the number of canned goods

The volume of the hexagonal prism is the amount of space in the prism

The volume of the hexagonal prism is 212.4 cubic units

The given parameters are:

Base area = 36 square units

Height = 5.9 units

The volume is then calculated as:

Volume = Base area x Height

So, we have:

Volume = 36 x 5.9

Evaluate the product

Volume = 212.4

Hence, the volume of the hexagonal prism is 212.4 cubic units

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Answer: We can use the Pythagorean theorem to find the length of the rectangle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the diagonal is the hypotenuse and the width and length of the rectangle are the other two sides.

Let's use "l" to represent the length of the rectangle:

l^2 + 14^2 = 29^2

l^2 = 29^2 - 14^2

l^2 = 561

l = sqrt(561)

l ≈ 23.67 feet

Now that we know the length and width of the rectangle, we can use the formula for the perimeter, which is the sum of all four sides:

Perimeter = 2 * length + 2 * width

Perimeter = 2 * 23.67 + 2 * 14

Perimeter = 47.34 + 28

Perimeter = 75.34 feet

Therefore, the perimeter of the rectangle is approximately 75.34 feet.

Step-by-step explanation:

After answering the provided question, we can conclude that As a result, expression 5 quarts contain 473.176473 centilitres. It is 473 cL rounded to the nearest centilitre

An expression in mathematics is a collection of manifestations, digits, and transnational corporations that resemble a significant correlation or regimen. A square root, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, pervasiveness, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

To convert 5 quarts to centilitres, first convert it to litres, then to centilitres.

1 gallon = 0.946352946 litres (conversion factor from customary system)

5 quarts equals 5 x 0.946352946 litres equals 4.73176473 litres

100 centilitres = 1 litre (conversion factor from metric system)

4.73176473 litres = 4.73176473 multiplied by 100 centilitres per litre = 473.176473 centilitres

As a result, 5 quarts contain 473.176473 centilitres. It is 473 cL rounded to the nearest centilitre.

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Answer:i got u :uuuuuuuuuuuuuu

Answer:

16

Step-by-step explanation:

Call the 3n+3 angle x. Call the 2n+7 angle y. The right angle, x, and y all lie in a straight line, meaning that the three angles added together equal 180. Adding, 5n + 100=180, so n=16.

Answer:

yes

no

yes

no

no

Step-by-step explanation:

An integer is a positive or negative whole number or zero.

Examples of integers:

-1000, 993, 12, -19, 1000000, -79, 0, 1, 221

Examples of numbers that are not integers:

-5/4, -223.25, 1000.1, 45.2, 1000000.45, 32/7

Is 12 a integer   yes

and is 55.3 a integer   no

and is 18 over 2 a integer = 9, so yes

and is -260.43 a integer   no

and is 12 over 17 a integer =0.70588..., so no

Answer:

We can approach this problem using the following steps:

Calculate the exchange rate after factoring in the agency commission. Since the agency commission is 1.5%, the effective exchange rate will be:

Effective exchange rate = Exchange rate - (Exchange rate * Commission rate)

= 30.075199 - (30.075199 * 0.015)

= 29.6185968

Multiply the amount of South African rands by the effective exchange rate to get the amount in British pounds.

Amount in pounds = Amount in rands / Exchange rate

So, for an amount of 2100 South African rands, the calculation would be:

Amount in pounds = 2100 / 29.6185968

= 70.815 pounds (rounded to three decimal places)

Therefore, Brian will get 70.815 pounds for 2100 South African rands after factoring in the agency commission.

Answer:

c  (2,0)

Step-by-step explanation:

One way to solve this system of inequalities is to graph the inequalities and see which ordered pair lies in the shaded region that is common to both inequalities

See the graph and each of the ordered pairs. Only (2, 0) lies entirely within the shaded region

(-1, 0) lies on the intersection of the two lines so it will satisfy the >= inequality but not the < inequality

Answer (2, 0)

However if you cannot use graphing then a brute force method must be used to see which ordered pair satisfies both inequalities

a. (-1, 0)
Check y < 2x + 2 ?
=>  0 < 2(-1) + 2 ?
=> 0 < -2 + 2
0 < 0 ? False
Eliminate option a

b. (0, 3)
y < 2x + 2?
=> 3 < 2(0) + 2?
3 < 2? False
Eliminate option b

c. (2, 0)
y < 2x + 2?
=> 0 < 2(2) + 2 ?
=>  0 < 4 + 2
=> 0 < 6 True

Move to the second inequality
y ≥ -x - 1?
0 ≥ -2 - 1
0 ≥ -3 True

So option c is the correct choice

While it is not necessary to check option d, let's do it anyway
d. (-1, -4)
y < 2x + 2 ?
-4 < 2(-1) + 2 ?
-4 < -2 + 2 ?
-4 < 0 ? True

Move to the second inequality
y > -x - 1 ?
-4 > -(-1) - 1
-4 > -2? False
Option d is eliminated

Correct answer: (2, 0) which is option c

Answer:

he is incorrect because Jackson also has 4 whole bags because 13/3 is a mixed number therefore jackson really has 4 13/3 or 4 1/3 which would be the amount as Fraud

Step-by-step explanation:

Answer:

(x + 1) (3x + 5)

Step-by-step explanation:

Let's check

(x + 1) (3x + 5)

3x² + 5x + 3x + 5

3x² + 8x + 5

So, (x + 1) (3x + 5) is the correct answer.

Answer: x = 18.9 to 1dp

Step-by-step explanation: Using SOH CAH TOA,

Sin 25 = 8/x

Making x subject of the formula:

x = 8/Sin 25

x = 18.92961267

x = 18.9 to 1dp

14: 2.38 minutes

15: lower bound is 97 km/h and the upper bound is 119 km/h

Question 14: The standard error of the mean (SE) can be calculated using the following formula: SE = s/√n, where s is the standard deviation of the population (43 minutes) and n is the sample size (246 students). Plugging in the values, SE = 43/√246 ≈ 2.38. Therefore, the standard error of the mean is 2.38 minutes and it should be rounded to 2 decimal places, giving us 2.38 minutes.

Question 15: According to the empirical rule, 95.44% of the speeds of vehicles traveling on MBZ Highway will be between 97 and 119 km/h. Therefore, the lower bound is 97 km/h and the upper bound is 119 km/h.

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The function that represents the estimated population after t years with an annual rate of decrease of 0.25% is y = [tex]358,000(0.9975)^{t}[/tex]. So  correct option is D) .

Annual rate can also be used to describe growth rates or changes in other types of measurements, such as population growth or inflation. For example, if the population of a city grows by 2% per year, the annual rate of population growth is 2%.

It is important to note that when annual rates are used to describe financial products or investments, they may be compounded over time. Compounding refers to the process of earning interest on interest, which can significantly increase the total amount of interest owed or earned over time. Therefore, it is important to carefully consider the effects of compounding when evaluating financial products or investments.

The function that represents the estimated population after t years with an annual rate of decrease of 0.25% is:

y = [tex]358,000(0.9975)^{t}[/tex]

Therefore, the correct option is D) y = [tex]358,000(0.9975)^{t}[/tex].

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The minutes that it would take for the 0702 bus to go from Birmingham to Coventry is 92 minutes.

The latest time that Steve should leave his house so as to get to work on time is 07 56 hours .

If the bus from Birmingham leaves at 07 02 hours, it would reach Coventry at 08 34. The time taken is therefore :

= 08 34 - 07 02

= 1 hour 32 minutes

In minutes, this is:

= 60 minutes in an hour + 32

= 92 minutes

The total time it would take Steve to reach Coventry from Birmingham would be:

= Time to Coventry + Time spent walking from house + Time spent walking in Coventry

= 92 minutes + 9 + 12

= 113 minutes

The time Steve should leave his house at the latest is:

= 10 am - 113 minutes

= 08 07 hours

However, he would miss the 08 35 bus if he did this so he needs to leave in time for the 08 05 bus which is:

= 08 05 - 9 minutes walking

= 07 56 hours

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Work Shown:

[tex]A = P*(1+r/n)^{n*t}\\\\2P = P*(1+r/1)^{1*3}\\\\2 = (1+r)^{3}\\\\(1+r)^{3} = 2\\\\1+r = \sqrt[3]{2}\\\\r = -1+\sqrt[3]{2}\\\\r \approx 0.25992\\\\[/tex]

That converts to 25.992% after moving the decimal point two spots to the right. Round this value however your teacher instructs.

Answer: Without further context, it is impossible to determine whose work is correct. (Elise, Jake, Malik, and Xiao) Please post each person's work first so that I can post a proper answer.

Answer:

Maliks

Step-by-step explanation:

After 6 years, the first accοunt with simple interest earn mοre amοunt.

The interest that is calculated using bοth the principal and the interest that has accrued during the previοus periοd is called cοmpοund interest. It differs frοm simple interest in that the principal is nοt taken intο accοunt when determining the interest fοr the subsequent periοd with simple interest.

Here In first bank account ,

Principal P = $1000

Time N = 6

Rate οf interest = 7%

Interest = [tex]\frac{PNR}{100}[/tex]

=> I = [tex]\frac{1000\times7\times6}{100}[/tex] = $420

Tοtal amount = $1000+$420 = $1420.

Now in secοnd bank account,

Principal P = $1000

Times N= 6

Rate οf interest = 6%

Tοtal amount A = [tex]P(1+\frac{R}{100})^N[/tex]

=> A = [tex]1000(1+\frac{6}{100})^6[/tex]

=> A = $1418.00

Now cοmparing bοth account amounts , In first bank have earned more amount that second bank,

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The sales price of the item after deduction of percentage discount is: $18

The regular price is defined as the price at which similar goods or services are regularly sold on the market.

The discount is defined as an amount or perhaps percentage deducted from the normal selling price of something.

The sales price is defined as the actual amount for which a good is sold after deduction of discount if any.

The parameters given are:

Regular Price = $20

Percentage Discount = 10%

Thus:

Discount = 10% * 20

Discount = $2

Thus:

Sales Price = $20 - $2

= $18

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The total surface area of the gift box in discuss as required to be determined in the task content is; 416 in².

As evident in the task content; the gift box in discuss can be likened to a cuboid with dimensions; 12 by 10 by 4.

Hence, since the total surface area of a cuboid is given by;

Area = 2 (lw + lh + wh)

Therefore, for the given gift box;

Area = 2 ( (12×10) + (12 × 4) + (10 × 4) )

= 2 ( 120 + 48 + 40 )

= 2 (208)

= 416.

Ultimately, the total surface area of the gift box in discuss is; 416 in².

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The pair οf emplοyees 1 and 3 have the smallest Manhattan distance, indicating that they are the mοst similar based οn the z-scοre standardized Manhattan distance values. Therefοre, the answer is Emplοyees 1 and 3

The relatiοnship between a value and a set οf values' mean is described by the statistical measurement knοwn as the Z-scοre.

Manhattan distance = [tex]|z^1 - z^2| + |z^3 - z^4| + ... + |zn-1 - zn|[/tex]

The z-scοres fοr each variable are calculated as fοllοws:

z-scοre = (x - mean) / standard deviatiοn

Emplοyee 1:

Age z-scοre = (25 - 27.33) / 1.2472 = -1.8616

Salary z-scοre = (48000 - 51666.67) / 9930.77 = -3.6915

Emplοyee 2:

Age z-scοre = (35 - 27.33) / 1.2472 = 6.1420

Salary z-scοre = (72000 - 51666.67) / 9930.77 = 2.0505

Emplοyee 3:

Age z-scοre = (27 - 27.33) / 1.2472 = -0.2645

Salary z-scοre = (53000 - 51666.67) / 9930.77 = 1.4256

Distance between emplοyees 1 and 2: |(-1.8616) - 6.1420| + [(-3.6915) - 2.0505] = 13.3956

Distance between emplοyees 1 and 3: |(-1.8616) - (-0.2645)| + [(-3.6915) - 1.4256] = 4.7236

Distance between emplοyees 2 and 3: |(6.1420) - (-0.2645)| + [(2.0505) - 1.4256] = 8.5020

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The 308915776 6-letter names that are possible, assuming that the first letter has to be a capital letter.

Given that the first letter in the name has to be a capital letter and the number of letters in the name is 6, find how many 6-letter names are possible.There are 26 capital letters in the English alphabet. Since the first letter must be a capital letter, we have 26 choices for the first letter.There are 26 lowercase letters in the English alphabet. We have 26 choices for each of the 5 remaining letters of the name.Using the multiplication principle of counting, the total number of possible 6-letter names with a capital first letter is:26 × 26 × 26 × 26 × 26 × 26=26⁶= 26 * 26 * 26 * 26 * 26 * 26 = 308915776 Therefore, there are 308915776 6-letter names that are possible, assuming that the first letter has to be a capital letter.

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The probability of at least 2 people having the same birthday in a group of 23 people is 0.5073.

The probability of at least 2 people having the same birthday in a group of 23 people can be calculated using the rule for complements. The complement of this event is that all 23 people have different birthdays. We can calculate the probability of this event and then subtract it from 1 to find the probability of at least 2 people having the same birthday.

The probability of the first person having a different birthday from the others is 1. The probability of the second person having a different birthday from the first is 364/365, since there are 364 days left that are not the first person's birthday. The probability of the third person having a different birthday from the first two is 363/365, and so on.

The probability of all 23 people having different birthdays is:

1 * (364/365) * (363/365) * ... * (343/365)

This simplifies to:

364! / (36522 * 341!)

Using a calculator, we find that this is approximately 0.4927.

Therefore, the probability of at least 2 people having the same birthday is:

1 - 0.4927 = 0.5073

So, the probability of at least 2 people having the same birthday in a group of 23 people is 0.5073.

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In a group of 23 persons, the probability that at least two of them share the same birthday is around 0.5073, or 50.73%.

The probability that at least 2 people in a group of 23 have the same birthday, can be calculated by using the rule for compliments. First, we can calculate the probability that no two people share a birthday in a group of  23.

The first individual will have any birthday, however the 2nd individual have to have a distinct birthday, which has a probability of 364/365 (since there are 365 days in a year and one day has already been "used" by the first person). The probability that the third individual will have a different birthdate from the previous two is 363/365. Continuing in this way,

The probability that all 23 people have different birthdays is:

(365/365) x (364/365) x (363/365) x ...

Since the probabilities of all conceivable outcomes must sum up to 1, subtract the likelihood that at least two persons will have the same birthdate from one:

P(at least 2 people have the same birthday) = 1 - (365/365) x (364/365) x (363/365) x ... x (344/365)

P(at least 2 people have the same birthday) = 0.5073

Therefore, the probability that at least 2 people in a group of 23 have the same birthday is approximately 0.5073 or 50.73%

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Answer:

5760

Step-by-step explanation:

The midpoint of PQ is -6. The line PQ have endpoints on the real number line at −14 and 2

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

The midpoint O between two points A and B on the number line is:

O = (A + B)/2

The endpoints of PQ on the real number line are −14 and 2, hence:

Midpoint = (-14 + 2) / 2 = -12/2 = -6

The midpoint of PQ is -6

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Answer: 0.008

Step-by-step explanation:

1/10 of 0.08

of is the same as multiplying

1/10 x 0.08= 1/10 x 8/100= 8/1000

8 divided by 1000= 0.008

(a)  40.4° or 139.6°

(b)  137.6° or 222.4°

(c)  124.2° or 304.2°

(a) sinθ=0.6264:θ=40.4° or 139.6°

(b) cosθ=-0.6405:θ=137.6° or 222.4°

(c) tanθ=-1.5519:θ=124.2° or 304.2°.What is interval? An interval is a set of real numbers with the property that every number that lies between two numbers in the set is also included in the set. Let's look at some of the most popular sets of numbers: the integers, the real numbers, and the natural numbers. What is an angle? An angle is a figure formed by two rays starting at a common endpoint called the vertex. The rays are known as sides of the angle, and the point of their intersection is known as the vertex. Angles are usually classified based on their size: acute angles, right angles, obtuse angles, and straight angles are examples. The following is how to solve the problem; 1. In each of the cases given, use the inverse function of sin, cos, or tan to calculate the value of the angle.2. Ascertain if the angle you've calculated is in the required interval.3. Since this question asks for an approximation to the nearest 0.1 degrees, express your solutions to one decimal point.Let's look at the following options:(a) sinθ=0.6264θ = 40.4° or 139.6°(b) cosθ=−0.6405θ = 137.6° or 222.4°(c) tanθ=−1.5519θ = 124.2° or 304.2°.Therefore, to the nearest 0.1 degrees, all angles θ in the interval [0˚, 360˚) that meet the equation are 40.4°, 139.6°, 137.6°, 222.4°, 124.2°, and 304.2°.

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Answer:

6.18km

Step-by-step explanation:

circumference= diameter×π

38.8km÷π=12.350423583931.... this is the diameter

12.3504...÷2=6.1752117919655..... is the radius

radius rounded to 3sf= 6.18km i think

Answer:

We can use the formula for exponential growth:

A = P(1 + r)^t

where:

A = final amount

P = initial amount

r = annual growth rate (as a decimal)

t = time (in years)

Let's plug in the values:

P = 540

r = 0.039

t = 2035 - 2015 = 20

A = 540(1 + 0.039)^20

A ≈ 891

Therefore, the local government of Central Village can predict there will be approximately 891 houses in 2035.

Answer:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r)^n

where:

A = the final amount

P = the initial amount

r = the annual interest rate (as a decimal)

n = the number of years

In this case, we want to find the final amount (the number of houses in 2035), given the initial amount (540 houses in 2015), the annual interest rate (3.9%), and the number of years (20 years from 2015 to 2035).

So, we can plug in the values and solve for A:

A = 540(1 + 0.039)^20

A = 540(1.039)^20

A = 540(2.011)

A = 1086.54

Rounding to the nearest whole number, we get:

A ≈ 1087

Therefore, the local government of Central Village can predict there will be about 1087 houses in 2035.

Answer:

5

Step-by-step explanation:

The mode is the most commonly occurring number in a set of numbers. In this one it is 5.