Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to. this problem has to soloutiin

The expression |-4| has a value of 4 when evaluated

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

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Answer:

32 liters is the volume of the glass tank

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

We are asked to determine the Z-score of a data set with a mean of 69.0 inches and a standard deviation of 2.8 inches, to do that we will use the following formula:

Where:

In this case, the observed value is the height if the man, 74.1 inches tall. Replacing the values we get:

Now we solve the operations:

Solving the fraction:

Therefore, the Z-score is 1.82.

Answer:

in 8 years both school will have 650 students

Step-by-step explanation:

HS A (t) = 250+50t

HSB (t) = 450+25t

250 + 50t = 450 + 25t

25t=200

t=8

in 8 years

to graph this:

HSA points (0,250) (2, 350) (4, 450) (8, 650)(10, 750)

HSB points (0, 450) ( 2, 500) (4, 550) (8, 650) (10, 700)

when you graph then you will notice they intercept at 8, which gives you 650 students

In the case above, the value of the overhead rate for the second quarter is $17,640.

Note that:

In the case above, for one to be able to calculate the predetermined overhead rate, a person need to divide the value of the  estimated overhead costs which is $52,500 by that of the estimated direct labor hours .

Predetermined overhead rate=Estimated overhead costs/ estimated direct labor hours

Predetermined overhead rate=$52,500/  12,500

Predetermined overhead rate=$4.20/DLH overhead rate

Hence:  $52,500/ 12,500 =   $4.20/DLH overhead rate.

Since the Overhead that was applied at standard hours was said to be allowed, then:

= $4.2 x 2,400 x 1.75

= $17,640.

Therefore, In the case above, the value of the overhead rate for the second quarter is $17,640.

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a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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The equation of the line is y = 2/3x + 1

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(x, y) = (0, 1) and (3, 3)

The equation of the line is then calculated using the following equation

y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (0, 1) and (3, 3)

Substitute the known values in the above equation, so, we have the following representation

y = (3 - 1)/(3 - 0) * (x - 0) + 1

Evaluate

y = 2/3 (x - 0) + 1

So, we have

y = 2/3x + 1

Hence, the line equation is y = 2/3x + 1

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Answer:

choice 1) 14m

Step-by-step explanation:

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

Step-by-step explanation:

Comment

I find the wording a bit confusing. Does the question mean that the laws of algebra determine what single vale of x will make the right side = the left side in both equations?

I think that's the way I will interpret it.

The easiest way to solve both of them is to divide by 4 on both sides of the top equation and divide by 2 on the bottom equation.

Solution

Top equation

4(x - 2) = 1000                                 Divide by 4

4(x-2 )/ 4 = 1000/4          

(x - 2)  = 250                                    Remove the brackets

x - 2 = 250                                       Add 2 to both sides

x - 2 + 2 = 250 + 2                           Combine

x = 252

Bottom equation

2(x - 2) = 50                                      Divide by 2

2(x - 2)/2 = 50/2

(x - 2) = 25                                        Remove the brackets

x - 2 = 25                                          Add 2 to both sides

x - 2 + 2 = 25 + 2                              Combine

x = 27

Conclusion

If the equations are structured the same way but have different numbers then the answers will be unique.

Answer:

Step-by-step explanation:

Find the graph below;

The standard equation of a line is expressed as y = mx + b where;

m is the slope of the line

b is the y-intercept

Given the expression y = 8.5x

On comparing with the expression

mx = 8.5 x

m = 8.5

b = 0

This means that the line must pass through the origin as shown and the slope of the line is 8.5

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Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer:

The answer is G because the triangles are similar and the rise over run is the same for both.

Step-by-step explanation:

Hope this helps!

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

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The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

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The derivative of cosec²3x is \(-2 \ cosec^2{3x} \ cot3x\).

In mathematics, a derivative of any function can be defined as the rate of change of any function with respect to a given variable. or we can say that a derivate defines the measure of change with respect to the change in the input or any argument of that function.

If f of x is the function then the derivative of that function is denoted as :

\(\frac{d}{d(x)} f(x)\)

Important Formulas of derivative :

\(\frac{d}{dx} (constant) = 0\\ \\\frac{d}{dx} (x^n) = nx^{n-1}\\\\\frac{d}{dx} (sinx) = cosx\\\\\frac{d}{dx} (cosx) = -sinx\\\\\frac{d}{dx} (tanx) = sec^2x\\\\\frac{d}{dx} (cosecx) = -cosecx.cotx\\\\\frac{d}{dx} (logx) = \frac{1}{x}\)

In the given question

function is , cosec²3x

use the formula \(\frac{d}{dx} (x^n) = nx^{n-1}\)

\(\frac{d}{dx} (cosec^2{3x}) = 2 cosec 3x . \ \frac{d}{dx} (cosec{3x})\)

now, use \(\frac{d}{dx} (cosec{x}) =- cosecx . cotx\)

\(\frac{d}{dx} (cosec^2{3x}) = 2 cosec{ 3x} . (-cosec 3x.cot3x) \\\)

                    =  \(-2 \ cosec^2{3x} \ cot3x\).

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The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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Answer:

3 1/15

Step-by-step explanation:

6 + 9/10 - 3 - 5/6

6 - 3 = 3 (Subtract whole number first)

9/10 - 5/6

Find the LCD which is 30

27/30 - 25/30 = 2/30

Reduce (Simplest form) = 1/15

3 + 1/15 = 3 1/15

Answer:

  3 1/15

Step-by-step explanation:

It can be convenient to use the formula for adding fractions:

  a/b +c/d = (ad +bc)/(bd)

__

  6 9/10 -(1 1/3 +2 1/2)

  = 6 9/10 -((1 +2) +(1/3 +1/2)) = 6 9/10 -(3 +(2+3)/6) = 6 9/10 -3 5/6

  = (6 -3) +(9/10 -5/6) = 3 +(6·9 -10·5)/(10·6) = 3 4/60

  = 3 1/15 . . . . . . reduced to simplest form

Answer:

1)

7+9-15 = add 7 and 9, then subtract 15

2)

15-(7+9) = The sum of 7 and 9 subtracted from 15

3)

15-(7+9) =  subtract 7 from 15, then add 9

Step-by-step explanation:

Learn BODMAS. The order of how to do equations. A simple tutorial on yt should be sufficient

Answer:

D

Step-by-step explanation:

Angles A and D have to be the included angles.

The required, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct,

In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.

Here,
Consider the triangle ABC and triangle DEF,
AB ≅ DE [Given in the question]
∠A ≅ ∠D  [Given in the question]
AC ≅ DF  [Since side adjacent to equal angle and side are always equal]

So, triangle ABC is congruent to triangle DEF by the SAS postulate of congruency.

Thus, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct.

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Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Answer

20*19*18 = 6840

UNLESS...............  

he is allowed to ride the same ride again , over and over....  

then it is 20 x 20 x 20 = 8000

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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Answer:

x=-5

Step-by-step explanation:

i just solved the problem

Answer:

=5±√23

Step-by-step explanation:

        -10+2√23

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

               -2

         -10-2 √23

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

                -2