The mail carrier has to deliver 3 boxes. The first box has a mass of 80 kilograms, the second box has a mass of 40 kilograms, and the third box has a mass of 60 kilograms. What is the total mass of all 3 boxes in grams?

180 grams
1,800 grams
18,000 grams
180,000 grams

Answer: The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

Step-by-step explanation: We know,

Area of the square = p^2 where p is the side of the square.

The perimeter of the square = 4p cm where p is the side of the square.

thus, The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

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Answer:208 mi

 Step-by-step explanation:

If David rents the car for four days,

that's an up-front costof 4 × 23.95 = $95.80.

The other cost depends on the distance (d) he drives.

The equation for his total cost (C) isC = 0.26d + 95.80If David has needs a budget

of $150, then

150 = 0.26d + 95.80- 95.80 from each side54.20 =

0.26d ÷ 0.26d = 208.5

David can't drive that extra 0.5 mi without going over his budget.He can drive 208 whole miles.

The true statement on the height of the ball when thrown from a building, given the equation, can be found to be A. The ball reaches the ground in 3 seconds.

The equation given of the ball being thrown from a building, gives us the height when solved.

The height of the ball when it reaches the ground is 0 feet so we can insert this in the formula to find the time:
0 = - 5 ( t - 3 ) ( t + 5 )

We can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for t:

t - 3 = 0 or t + 5 = 0

Solving for t in the first equation, we get:

t - 3 = 0

t = 3

Seeing as t is 3 seconds the first option is correct.

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Answer:

Correct answer below

Step-by-step explanation:

See image below of the two lines graphed and the intersection:

(didn't correctly identify the intersection)

The student's grade point average is 2.32.

The student will not be admitted to the business college.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

(a)

Total grade points earned

= (6 x 4) + (15 x 3) + (31 x 2) + (8 x 1)

= 24 + 45 + 62 + 8

= 139

Total credit hours.

= 6 + 15 + 31 + 8

= 60

Now,

The student's grade point average:

= Total grade points earned / Total credit hours taken

= 139 / 60

= 2.32

(b)

2.32 < 2.5

This means,

The student's grade point average is lower than the required 2.5 GPA for admission to the business college.

Thus,

The student's grade point average is 2.32.

The student will not be admitted to the business college.

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Answer:

8.5

Step-by-step explanation:

If you look at a decimal (0.00) there is the tenths, (0.00), hundredths (0.00), and so on.

Rounding to the nearest tenth, would mean first looking at the hundredths place (8.45), and if it is greater or equal to 5, which if it is, you round up, but if it isn't, you round down.

Therefore, 8.45 rounded to the nearest tenth is 8.5.

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×[tex]\frac{22}{7}[/tex]×14=88 feet.

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Answer:

5 3/5

Step-by-step explanation:

First, you write 4/5 x 7/1.

Next, you multiply 4x7 = 28.

Then, you multiply 5x1 = 5.

Now, you have an improper fraction--28/5.

You then divide 28/5 = 5 3/5.

No simplifying is needed.

Result: 5 3/5

Answer:

The trigonometric function that models the ocean tide for a period of 12 hours is f(x) = 6 sin (2πx/12).

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

You'll need a ruler that has "centimeters" on it.

Use the ruler to measure the distance from Town Hall to the Art Gallery.

I don't have a ruler with me, so I can't say for certain what that centimeter distance will be. Even if I had a ruler, it won't be much use because I cant put it directly to the paper. Only you are able to do that part. But I'll go over a hypothetical example.

Let's say the on paper distance from Town Hall to the Art Gallery is 5 cm (roughly 1.97 inches).

This means we multiply both sides by 5 in the steps shown below.

1 cm on paper : 200 m in real life

5*1 cm on paper : 5*200 m in real life

5 cm on paper : 1000 m in real life

5 cm on paper : 1 km in real life

So the 5 centimeters measured out with the ruler corresponds to the real life distance of 1 kilometer. This would be the real life distance from Town Hall to the Art Gallery. Again, this is a hypothetical example. The actual centimeter distance is likely different and you'll need to get a ruler to measure it out for yourself.

Let me know if this helps. If you have further questions, then please let me know.

Answer:

the answer is 21.56

Step-by-step explanation:

have a nice day.

The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Define T : R³ to R² as;

⇒ T(e₁) = (1, 4), T(e₂) = (-2,9), T(e₃) = (3,-8),

where e₁, e₂, and e₃ are the columns of the 3x3 identity matrix.

Now, The value of the standard matrix of T is,

T = [ T(e₁)   T(e₂)   T(e₃)]

  =  [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Therefore, The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

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The Probability that the student was not a female and did not earn grade C is 34/59.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

                A B C Total

Male 16 18 17 51

Female 19 6 10 35

Total 35 24 27 86

Total number of non-female students who got a A and B : 34

Total number of students who got a A and B: 35+24= 59

So, the probability is

= 34/ 59

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Answer:

0

Step-by-step explanation:

Probability (also known as chance) is the number that indicates how likely an event is to occur. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.

If we look at a phone keypad, you will see the numbers 0-9, but you will never see a number greater than 9.

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the numbers, but none are greater than 9.

The height of the triangle is h = 2A/6.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).


To find the height of a right triangle given the base, we can use the area formula A = 1/2bh. Rearranging this equation gives us the height: h = 2A/b. In this case, the base is 6 inches and the area is given as A. Therefore, the height of the triangle is h = 2A/6.

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Difference of density per acre of wheat and corn = 105

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

Yield in 110 acre farm = 17,600 Bushes of corn

Yield in 250 acre farm = 13,750 Bushes of wheat

Find:

Difference of density per acre of wheat and corn

Computation:

Yield per acres Bushes of corn = 17,600 / 110

Yield per acres Bushes of corn = 160

Yield per acres Bushes of wheat = 13,750 / 250

Yield per acres Bushes of wheat = 55

Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat

Difference of density per acre of wheat and corn = 160 - 55

Difference of density per acre of wheat and corn = 105

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The following Python function, star string(), receives the integer n as an input and outputs a string of stars (asterisks) that is 2n characters long:

What is a Recursive Python Function?

A recursive function is one that uses self-referential language to define itself. This indicates that the function will continue to call itself and perform its activity until a condition is met and a result is returned.

Here's a possible implementation of the recursive function "star_string" in Python:

   def star_string(n):

   if n == 0:

       return "*"   # base case

   else:

       return star_string(n-1) + star_string(n-1)

The function takes an integer parameter "n", which represents the exponent of 2 in the length of the resulting string (i.e., 2 to the nth power). The base case occurs when n equals 0, in which case the function returns a single asterisk ("*"). Otherwise, the function recursively calls itself with n-1 as the argument, and concatenates the results of those two calls to produce a string that is twice as long.

Here's an example of how to call the function and print the result:

n = 3  # for example

result = star_string(n)

print(result)   # prints "********"

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Answer:

Step-by-step explanation:

(-2 - 4)/(-1 + 3)= -6/2 = -3

y - 4 = -3(x + 3)

y - 4 = -3x - 9

y = -3x - 5

Option 1

The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.

(a) f - {1 2 3 4 5} -> {1 2 1 2 1}

This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.

(b) f - {1 2 3 4 5} -> {1 2 3 1 2}

This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.

(c) f(x) = { x if x < 3, x - 3 if x > 3}

This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.

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Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.

(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.

Hence,

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

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The correctly matched pairs are mentioned below.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is to match the correct pairs given below.

{ 1 } -

47, 41, 35, 29, 23   →   a{n} = a{1} + (n- 1)d

{ 2 } -

7, -21, 63, -189, 567   →   a{n} = a{1}rⁿ⁻¹

{ 3 } -

[tex]$A = P(1 + 0.025/12)^{12t}[/tex]   →   A = [tex]$P(1 + r/n)^{nt}[/tex]

{ 4 } -

An 18 - month invest on $10 at 5%.   →   A = P[tex]$e^{rt}[/tex]

{ 5 } -

Investments and loans -

Therefore, the correctly matched pairs are mentioned above.

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His estimated monthly income should be $480.

The required angle 1 between the side and diagonal of a square is approximately 45 degrees.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Let's assume that the length of one side of the square is 'a'.

Then the length of the diagonal of the square is given by the Pythagorean theorem:

d² = a² + a² = 2a²

d = a * √(2)

To find the angle between the side and the diagonal, we can use the cosine function:

cos(Ф) = adjacent/hypotenuse = a / (a * √(2))

cos(Ф) = 1 / √(2)

Ф= cos⁻¹(1/√(2))

Ф≈ 45°

Therefore, the angle between the side and diagonal of a square is approximately 45 degrees.

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Answer:

The dividend yield is the dividend next year divided by the current price, so the dividend yield is:

Dividend yield = D1 / P0

Dividend yield = $2.55 / $48.70

Dividend yield = .0524, or 5.24%

The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:

Capital gains yield = 6%

There are D. 9+7x+(-3y) and E. 9-(-7)x-3y that equivalent to the given expression 9 +7x-3y.

Equivalent expressions are defined as mathematical statements that have containing identical variables or numbers.

The expression is given in the question, as follows:

9 + 7x - 3y

D. 9+7x+(-3y) is equivalent because the expression in the parentheses represents a negative value of 3y, so we can combine the 7x and the negative 3y terms to get 7x-3y, which when added to 9 gives the original expression of 9 +7x-3y.

E. 9-(-7)x-3y is equivalent because we can simply change the minus sign before the -7 to a plus sign, resulting in the original expression of 9 +7x-3y.

Thus, D. 9+7x+(-3y) and E. 9-(-7)x-3y are equivalent to the given expression 9 +7x-3y.

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The complete question would be as:

Select all the expressions that are equivalent to 9 +7x-3y.

A. 9+7x+3y

B. 9-7x-3y

C. 9-7x+3y

D. 9+7x+(-3y)

E. 9-(-7)x-3y

The sum of the fractions is 7/4

From the question, we have the following parameters that can be used in our computation:

5⁄6 + 2⁄3 + 1⁄4 =

Express the denominators of the fraction as 12

So, we have

5⁄6 + 2⁄3 + 1⁄4 = 10/12 + 8/12 + 3/12

Evaluate the sum

This gives

5⁄6 + 2⁄3 + 1⁄4 = = 21/12

Simplify

5⁄6 + 2⁄3 + 1⁄4 = 7/4

Hence, the solution si 7/4

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Here, The amount $26,000 is being deducted or reduced from the account which means it is debit...

Answer:

$26,000 is being deducted from the account which means it is debit.

Explanation:

The journal entry to record a $26,000 reduction in inventory would depend on the reason for the reduction. In general, if the reduction is due to a sale of inventory, the journal entry would be:

Date: 1-Oct

Account: Inventory

Account Number: 1020

Debit: Cost of Goods Sold

Credit: Inventory

In this case, the debit entry would be to the Cost of Goods Sold (COGS) account, which is an expense account that is used to record the cost of goods that have been sold during a particular period. The credit entry would be to the Inventory account, which represents the value of inventory that the business currently holds.

If the reduction in inventory is due to some other reason, such as loss, theft, or damage, the journal entry would be:

Date: 1-Oct

Account: Inventory

Account Number: 1020

Debit: Loss or Expense account

Credit: Inventory

In this case, the debit entry would be to a Loss or Expense account that reflects the reason for the reduction in inventory. The credit entry would be to the Inventory account.

Answer:

The solution is 11

Step-by-step explanation:

To solve this question is quite easy, here are the step-by-step:

[tex] \sf \lim_{ t \to - 3} \sf ( - {t}^{2} - 6t + 2) \\ \\ \sf = - ( - 3)^{2} - 6( - 3) + 2 \\ \\ = \sf { - ( 9)} + 18 + 2 \\ \\ = \sf 9+ 2 \\ \\ = \sf 11[/tex]

Answer:

Step-by-step explanation:

If f(x) is an even function, that means it has symmetry across the y-axis. In other words, if (a,b) is a point on the graph of f(x), then (-a,b) must also be on the graph.

We are given that f(2) = -5. Since 2 is a positive number, we know that (-2) is the corresponding negative value that also lies on the y-axis. Therefore, we can say that f(-2) = f(2) = -5.

So, the other point that must be on the graph of f(x) is (-2,-5).

Para dibujar un triángulo con un ángulo de inclinación de 45° realiza dos líneas perpendiculares y una tercera línea con un grado de 45° lo cual puedes hacer usando un transportador.

Un triángulo es una figura con tres lados y cuyos ángulos internos siempre suman 180°. El método más fácil para dibujar un triángulo con un ángulo de 45° es.

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