Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-4,-5) (0,5)

Answer:

Number of pennies = 11

Number of dimes = 11

Number of quarters = 8

Step-by-step explanation:

Given:

Total number of coins = 30

Number of pennies = Number of dimes

Total value = $3.21 = 321 penny

Computation:

Assume:

Number of pennies = x

So,

Number of dimes = x

Number of quarters = 30 -x- x = 30 - 2x

Value of pennies = x

Value of dimes = 10 x

Value value of quarters = 25[30 - 2x] = 750 - 50 x

Total value = x + 10x + 750 - 50x

39x = 429

x = 11

Number of pennies = 11

Number of dimes = 11

Number of quarters = 30 - 11 -11 = 8

Answer:

452.38934 yd^3

Step-by-step explanation:

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer: 28/3

Step-by-step explanation:

Triangle ACB is similar to Triangle AED because of AA.

Therefore AB/BC = AD/DE

x/7 = (x+8)/13

We can cross-multiply.

13x = 7(x+8)

We can distribute the 7.

13x = 7x + 56

6x = 56

x = 28/3

If the weight of coal in 43 cars selected at random had an average (x) of less than 61.5 tons, it might make you suspect that the loader had slipped out of adjustment.

Here's why:
Compare the average weight with the expected weight
First, you need to know the expected average weight of coal in the cars when the loader is functioning correctly. If the expected average is significantly higher than 61.5 tons, it could indicate an issue with the loader.
Assess the sample size
A sample size of 43 cars is relatively large, which gives you more confidence in the accuracy of the calculated average weight. If the sample size were smaller, it would be more likely that the result is due to random chance.
Evaluate the deviation from the expected weight
If the average weight is much lower than the expected weight, it would be more likely that the loader is out of adjustment. A small deviation could still be due to random chance or other factors, but a large deviation would suggest a potential issue with the loader.
Consider other factors
Before concluding that the loader is out of adjustment, it's essential to consider other factors that may have caused the lower average weight, such as changes in the type of coal, variations in car sizes, or even human error in weighing the coal.
Investigate further
If the deviation from the expected weight is significant and you cannot identify any other factors that might have caused the lower average weight, it would be reasonable to suspect that the loader may have slipped out of adjustment. In this case, you should conduct a thorough investigation, including inspecting the loader and checking its settings to determine if an adjustment is needed.

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Answer:

x= 42

y= 23

Step-by-step explanation:

Set up a system of equations like this:

(4y-9)=(3x-43)

(2x+13)=(4y+5)

when two lines cross like this they form vertical angles, and vertical angles are always equal.

calculate the system of equations and you'll get x=42 and y=23

To find the measure of any of the angles just put x or y into the equation.

Answer:

19.3%

Step-by-step explanation:

6.50-5.45 = 1.05

1.05/5.45 = 0.192605505

* 100 = 19.27% = 19.3% increase

If m and n are both positive integers, the print statements will be executed m x n times.

The number of times the print statements are executed depends on the values of m and n.

Assuming that both m and n are positive integers, the print statements inside the nested for loops will be executed m x n times.

This is because the outer loop runs m times and the inner loop runs n times for each iteration of the outer loop.

Therefore, the total number of executions of the print statements will be the product of m and n.

This can be represented as:
Number of executions = m x n

In summary, if m and n are both positive integers, the print statements will be executed m x n times.

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After rounding off the numbers product of the given numbers is 27000.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given number are 88 and 304.

Rounding each number to the nearest 10

That is, 88 to 90 and 304 to 300

Now, 88×304 can be written as

90×300

= 27000

Therefore, after rounding off the numbers product of the given numbers is 27000.

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Caroline saved $3. 84 on a discounted item that was marked down 15% off of the original price of the item. The original price of the item before the discount was $4.52.

Given that, Caroline saved $3.84 on a discounted item that was marked down 15% off of the original price of the item. Let's assume the original price of the item is x. Since the discount is 15%, the selling price of the item would be 100% - 15% = 85% of the original price.

The savings that Caroline made is equal to the original price minus the discounted price, i.e. $3.84.The discounted price of the item would be 85% of the original price.

85% of the original price = $3.84

Now, we can find the original price of the item by solving for x:

x × 85/100 = $3.84x = $3.84 * 100 / 85= $4.52

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The current age of Jenny is 6 years.

Let the current age of Phil be = x years

So the current age of Bill is = 2x years

The current age of Jenny is = 2x-2 years

Sum of their ages is = x+2x+2x-2 = 5x-2 years

Now the age of their dad is = 2(5x-2) = 10x-4 years

Now after nine years,

Age of Phil = x+9

Age of Bill = 2x+9

Age of Jenny = 2x-2+9 = 2x+7

Sum of their ages = x+9+2x+9+2x+7 = 5x+25

New age of their father = 10x-4+9 = 10x+5

According to question, the required linear equation to solve the question is,

5x+25 = 10x+5

5x = 20

x = 4

Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years

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Answer:

Circumference = 36π

Step-by-step explanation:

The formula for circumference is C = πd, where

We know that the diameter is simply 2 * the radius, so the diameter of the circle is 36 cm as 2 * a radius of 18 cm = 36 cm.

To find the circumference in terms of π, we simply multiply 36 and π, but don't simplify, approximate, etc.

Thus, the circumference in terms of π is C = 36π

Answer:

x=2, y=3

Step-by-step explanation:

1. Substitute x=6y-16 into 8x+y=19

8(6y-16)+y=19

48y-128+y=19

2.Add like terms

49y-128=19

3. Add 128 on both sides to cancle out (-128)

49y=147

4.Divide 49 on both sides to cancle out 49

y=147/9

y=3

5. Substitute y value in 8x+y=19

8x+3=19

6. Subtract 3 on both sides to cancle it out

8x=16

7. Divde 16 by 8 to get your x value

x=16/8

x=2

Answer: E

Step-by-step explanation:

remember that domain is x and range is y

people say "domain and range" and alphabetically, it is x and then y.

so domain and range. x and y. memorize this

the answer is E because y is the one that stays above -4

x is all real numbers according to the graph

just look at the graph and notice that the x values (the values on the left-to-right of the line, the horizontal line), are basically all the numbers.

but not the y values. the y values are on the up-and-down line

Answer: E

Step-by-step explanation:

Since the Domain is X

The graph moves on forever in the x axis thus it is all real numbers.

The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

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Δy=v-0.32 and dy = -0.32 .Δy and dy are both used to represent changes in the dependent variable y based on changes in the independent variable x.

Δy represents the change in y (the dependent variable) resulting from a specific change in x (the independent variable). In this case, y = x^4 + 7, x = -2, and Δx = dx = 0.01. Therefore, we need to calculate Δy and dy based on these values.

To calculate Δy, we substitute the given values into the derivative of the function and multiply it by Δx. The derivative of y = x^4 + 7 is dy/dx = 4x^3. Plugging in x = -2, we have dy/dx = 4(-2)^3 = -32. Now, we can calculate Δy by multiplying dy/dx with Δx: Δy = dy/dx * Δx = -32 * 0.01 = -0.32.

On the other hand, dy represents an infinitesimally small change in y due to an infinitesimally small change in x. It is calculated using the derivative of the function with respect to x. In this case, dy = dy/dx * dx = 4x^3 * dx = 4(-2)^3 * 0.01 = -0.32.

Therefore, both Δy and dy in this context have the same value of -0.32. They represent the change in y corresponding to the change in x, but Δy considers a specific change (Δx), while dy represents an infinitesimally small change (dx) based on the derivative of the function.

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Answer:

P(x) = -0.4\(x^{3}\) + 100\(x^{2}\) - 300\(x\) + 500

Step-by-step explanation:

C(x) = 600\(x^{2}\) + 300\(x\)

R(x) = -0.4\(x^{3}\) + 700\(x^{2}\) - 600\(x\) + 500

P(x) = R(x) - C(x)

(-0.4\(x^{3}\) + 700\(x^{2}\) - 600\(x\) + 500) - (600\(x^{2}\) + 300\(x\))

= -0.4\(x^{3}\) + 100\(x^{2}\) - 300\(x\) + 500

This should be the answer.

Answer:

p(x)= -0.4x³+100x²-900x+500

Answer:

5 is good plz mark me plxzzzzzzzzzzzzzzz-zzzzzzzzzzzzzzz

The population mean, or average score for the population on a certain variable, is symbolised as follows:μ = ( Σ Xi ) / N.

The mean of a data set is the sum of all values ​​divided by the total number of values, often called the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean", it is the most commonly used measure of central tendency. This result is obtained by dividing the total number of values ​​in the data set by the sum of all those values. Both raw data and data combined into frequency tables can be used in calculations. Mean refers to the average of a number. The calculation is simple: divide by the number of numbers when you added all the numbers. the total divided by the number.

The population mean or population mean score for  a given variable is symbolized as follows:μ = ( Σ Xi ) / N. The symbol 'μ' represents the population mean.

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Answer:

right your relly right and super right

The expression  \(^3\sqrt {27x} + ^3\sqrt{x}\) is equivalent to 0 when x=0.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

If x=0, then the expression \(^3\sqrt {27x} + ^3\sqrt{x}\) becomes:

And we are given that x=0. So, we can substitute x=0 into the expression:

\(^3\sqrt{ 27 * 0} + ^3\sqrt{0}\)

= 0 + 0 = 0

The first term simplifies to ∛(0), which is 0, because any number raised to the 1/3 power and multiplied by 0 is equal to 0.

The second term also simplifies to ∛(0), which is 0, because any number raised to the 1/3 power and multiplied by 0 is equal to 0.

Therefore, the sum of the two terms is 0.

Hence, the expression  \(^3\sqrt {27x} + ^3\sqrt{x}\) is equivalent to 0 when x=0.

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If Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.

To determine how many hours Cynthia will finish the 248-mile bike race given her pace of 68 miles in 2 hours, follow these steps:

1. Calculate her speed by dividing the distance by the time:

speed = 68 miles / 2 hours

speed = 34 miles per hour.

2. Divide the total distance of the race (248 miles) by her speed (34 miles per hour) to find the time:

time = 248 miles / 34 miles per hour

time ≈ 7.29 hours.

Thus, we can state that if Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.

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Answer:

Step-by-step explanation:

If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is

y = 2x - 48

Answer:

c

Step-by-step explanation:

The value of the given expression is -1.

Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

so,

1/4 (-4/1) (3/5) (-5/6) (-2)

= 1/4 × -4 × 3/5 × -5/6 × -2

= -1 × -1/2 × -2

= -1

Hence the value of the given expression is -1.

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Answer:

\(26 * 26^8 = 5.4295037e+12.\)

Step-by-step explanation:

\(26^8 = 208,827,064,576.\\26 * 208,827,064,576 = 5.42950373e+12.\)

hope this helps.