A particle moves along the r-axis so that its velocity vat any given time t, for 0 St $ 16, is given byW(0) =e»-1. At time r=0, the particle is at the origin. At what time does the particle's accelerationequal zero for the first time?Round to the nearest thousandth or write as a fraction

C(x) is related to its parent function c(x) = 0.75|x| + 25.

The function in the context of the situation illustrated that the cost is the same.

It should be noted that a function is used to show the relationship between the variables.

In this case, the cost to travel X miles east or west on a train is the same. The function for the cost is given as c(x) = 0.75|x| + 25.

Let East = positive direction

Let West = negative direction

Let the travel distance in East = x

Travel distance for West = -x mile

The cost to travel East x miles will be:

= 0.75(x) + 24

= 0.75x + 25

The cost to travel West will be:

c(-x) = 0.75x + 25

This shows that the cost will be the same even though there in different directions.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees

The possible question is added at the end of the solution and as an attachment

From the attached figure, we have the following angles

From the attached figure, we can see that:

Angle 1 is twice the measure of angle 2

This is so because, the angle 1 is the vertex angle of an isosceles triangle

While the angle 2 is half of it

So, we have

Angle 1 = 2 * Angle 2

Substitute the known values in the above equation

So, we have

2 * 3x = 5x + 4

Evaluate the product

So, we have

6x = 5x + 4

Evaluate the like terms

x = 4

Substitute x = 4 in the equations JKL=5x+4 and LKM=3x

So, we have

JKL= 5 x 4 + 4

LKM = 3 x 4

Evaluate the equations

So, we have

JKL= 24

LKM = 12

Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively

Read more about angles at

brainly.com/question/7620723

#SPJ1

The value of expression c − a + b d on simplification is (-10101.2).

As per question we need to solve the given equation i.e., c − a + b d

And we are provided with the values of a, b , c and d.

Here we have ,

a=78,

b=−716

c=0.8

and d=14

The given equation is,

c − a + b d

Now we need to substitute the value of a, b, c and d. On substituting the value of a, b, c and d , we get

(0.8) - 78 + (-716) (14)

= (0.8) - 78 - 10024

= (-10101.2)

So, we can conclude that the value of given expression on simplification is  (-10101.2).

To know more about Simplifying Expressions referred to the link:

https://brainly.com/question/15226965

#SPJ1

Answers to all the problems using BODMAS property are:

So, (A) 107-[59-(18+9-(12-18+6) +3}]:

(B) [222- 486 of 8]+(58-45) × 8

(C) 1500-[160+ (40-(120-100)}]

Therefore, answers to all the problems using BODMAS property are:

Know more about BODMAS property here:

https://brainly.com/question/16241141

#SPJ9

The number √2 is an irrational number, thus, the correct options are B: irrational and F: not rational

Remember what each sets are.

Natural or whole numbers are all the numbers that can be get by adding ones to one {1, 2, 3, 4, ...}

Integers are like the above ones, but also includes the zero and negative numbers.

Rationals are the ones that can be written as a quotient between two integers, and irrationals are these ones that can't be written like that.

Finally, real numbers are all the numbers.

In this case we have the square root of a prime number, √2, this is always a irrational number.

Then option B is correct.

Trivially, option F (not rational) is also true, because if the number is irrational, then it is not rational.

Then the correct options are B and F.

Learn more about irrational numbers:

https://brainly.com/question/20400557

#SPJ1

Charlie used 400 milliliters of Solution B if the resulting mixture is a 12% alcohol solution.

An algebraic equation is a declaration of the equality of two expressions created by applying the algebraic operations to a set of variables.

Monomial expressions, binomial expressions, and polynomial expressions are the three main categories of algebraic expressions.

Given : Solution A contains 20% alcohol, while Solution B contains 6% alcohol.

It is  also given that Charlie uses 300 milliliters of Solution A.

Let's say that the mixture contained x ml of the 6% solution B.

x + 300 = resulting mixture of 12 % alcohol.

20% (300) + 6% (x) = 12% (x+300)

60 + 0.06x = 0.12x + 36

0.06x = 24

x = 400 milliliters

As a result, if the resulting mixture is a 12% alcohol solution, he used 400 milliliters of Solution B.

Learn more about polynomial expressions here:

https://brainly.com/question/15702527

#SPJ13

A store sold 22 colored shirts and 8 white shirts.

Let x be the number of colored shorts and y be the number of white shirts.

A store sold 14 more colored shirts than white shirts.

so, we get an equation,

x = y + 14                       ....................(1)

The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.

So we get an equation,

10.50x + 9.95y = 310.60           .............(2)

Substitute above value of x in equation (2)

10.50(y + 14) + 9.95y = 310.60          

10.50y + 147 + 9.95y = 310.60          

20.45y = 310.60 - 147

20.45y = 163.6

y = 8

Substitute above value of y in equation (1)

So, x = 8 + 14

x = 22

Therefore, a store sold 22 colored shirts and 8 white shirts.

Learn more about an equation here:

https://brainly.com/question/13170101

#SPJ1

Based on the equations given, the best comparison between them is that they are intersecting but not perpendicular.

When lines are perpendicular to each other, one line will have a slope that is the negative reciprocal of the other. For instance, if the slope of one line is 2, the slope of the perpendicular line will be -1/2.

Parallel lines will have the exact same slope.

The slope of the first line is:

2x - 7y = -5

(2x - 7y = -5) x 1/7

2/7x - y = -5/7

Slope = 2/7

The slope of the second line is:
x - 3y = 4

(x - 3y = 4) x 1/3

1/3x - y = 4/3

Slope = 1/3

The slopes are neither negative reciprocals nor the same so the lines must be intersecting but not perpendicular.

Find out more on perpendicular lines at https://brainly.com/question/1202004

#SPJ1

a) The distance that the bus traveled varies directly with time.

b) If the journey of 60 km takes 8 hours, the speed of the bus is 7.5 km/h.

The relationship between distance and speed can best be explained below:

For a constant speed, for example, 60 km/h, the distance traveled, 60 km, is proportional to the time used.

But if the distance is fixed at 60 km, the time it takes the bus, for example, 8 hours, is inversely proportional to the speed.

Total distance = 60 km

Steady speed = 60 km/h

Thus, for every kilometer, the bus takes one minute (60/60) and for every minute, the bus travels a kilometer.

Learn more about the relationship between distance and speed at https://brainly.com/question/4931057

#SPJ1

Answer:

The smallest of the three integers is 17. (17, 19, 21)

Answer: Use the quotient rule to solve this problem (formula attached). g(x) would be -sqrt x and f(x) would be x^2 - 4x +5.

Blanks to be filled by 4,3,8 and 3.

Multiplication in mathematics is the same as adding equal groups. As we multiply, there are more items in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result.

Given Data

           3 __ 8

×            7 8 4

_____________

       1 _    9 2

    2 7 __ 4

_   4 3  6

_____________

 2  7 2 8 __ 2

_____________

Solving

Multiplying and adding,

           3 _4_ 8

×            7 8 4

_____________

       1 3_    9 2

    2 7 _8_ 4

_   4 3  6

_____________

 2  7 2 8 _3_ 2

_____________

To learn more about multiplying, visit:

https://brainly.com/question/620034

#SPJ13

Answer:

VERY

Step-by-step explanation:

VERY

A number line that plots the integers –12, –3, and 7 will be A. A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7.

It should be noted that a number line simply means the straight line that can be used to show the addition and subtraction of numbers.

It should be noted that the negative numbers are on the left hand side and the positive numbers are on the right hand side.

Therefore, this is conveyed effectively by option A.

Learn more about number line on:

brainly.com/question/24644930

#SPJ1

After being simplified, it was discovered that the equation 6x - 8 =

2 (3x - 4) has infinite solutions.

A straight line has the equation y=mx+c, where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

Given Equation : 6x - 8 = 2 (3x - 4)

Simplifying this equation as follows:

6x - 8 = 2 (3x - 4)

6x - 8 = 6x - 8

0 = 0

Same constant on both sides.

As a result, after simplifying the equation 6x - 8 = 2 (3x - 4), infinite solutions are possible for this equation.

Learn more about infinite solutions here:

https://brainly.com/question/27927692

#SPJ13

Answer:

it's easily 47 as it's finished basement ALONE and b is 3 car garage ALONE while c is both so it's asking who has a finished basement ALONE/ONLY

Answer:

38

Step-by-step explanation:

The total homes are 85

Of the homes with finish basements it is 47

Then you find the difference: 85-47 =

The final answer is 38

The required metric conversion is:

96 times 1/2 inch is equal to 4 feet

In this question, we need to find convert 1/2 inch to 4 feet

We need to convert metric unit.

We know that, 1 feet = 12 inches

So, 4 feet would be 48 inches

We can write 48 inches as,

48 inches

= 96 × (1/2) inches

This means, if we add 1/2inch 96 times then it is equal to 4 feet

Therefore, the required metric conversion is: 96 times 1/2 inch is equal to 4 feet

Learn more about metric conversion here:

https://brainly.com/question/28524514

#SPJ1

Answer:

74.44

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]

Data:

• B = 70°

• b = 19ft

• C = 90°

Procedure:

• Finding the angles

We know that C = 90° as the image shows the symbols. Also, we know that the sum of the interior angles of a triangle are 180°. Then, to get A we have to do the following:

Isolating for A:

Replacing the values we know:

• Finding side ,a

Using trigonometric functions, we can get a.

As we already know the value of A and b, we can isolate for a:

Replacing the values:

• Finding side ,c

Finally, using the Pythagorean Theorem, we can calculate c:

Isolating for c:

Replacing the values:

Answer:

• A = 20°

• a = 6.92 ft

• c = 20.22 ft

The value of complex number is [tex]ab^{2}[/tex] = 36+18i

What is complex number?

The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a+ib, where a = real number and ib = imaginary number.

The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers.

Given,

a = 4+2i

b = 3

[tex]b^{2}[/tex] = 3(3)

= 9

Hence, the value of

[tex]ab^{2}[/tex] = (4+2i)9

=36+ 18i

To know more about complex number, visit:

https://brainly.com/question/20291106

#SPJ9

a ) The value is 4.472

b)2 decimal place is 4.47

When expressing a whole number and a fraction together, decimals are utilized. Here, we shall use a "." (also known as a decimal point) to demarcate the full number from the fraction. Say, for illustration, that you intend to bring a cone of ice cream. You are informed by the vendor that ice cream costs $2 and 50 cents. Now, if you wanted to sum up this cost in a single number, you would say that an ice cream cone costs $2.50. You may be utilizing decimals without even recognizing it in a variety of everyday settings.

[tex]\sqrt{4.5^{2} -0.5^{2} }\\ \sqrt{20.25-0.25} \\\sqrt{20}\\ 4.4721[/tex]

a ) The value is 4.472

b)2 decimal place is 4.47

To learn more about decimal number visit :

https://brainly.com/question/4708407

#SPJ9

[tex] = (a + 1)(b(a + 1) - 5)[/tex]

HOPE THIS HELPS

Answer:Explanation:

Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.

iven the parent function:

If y is vertically compressed by a factor of 4, we have:

Next, a reflection across the x-axis will give:

If the result is shifted

Finally, a shift downwards by units gives:

Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.

he firsyt option is correct.

The formula to obtain the future value (FV) is,

Where,

Therefore,

ence, there will be $6`166.13 in the account after 5years.

Answer: 3.55, 6.187, 9.312, 27.132

Step-by-step explanation:

The easiest way I do this is by rounding all the numbers to the nearest hundredths, tenths, or whole numbers.

3.55 = 4
6.187 = 6
9.312 = 9
27.132 = 27

Given the expression below

We can evaluate the expression by simplifying the parenthesis

Answer: 54

Answer: 1*5=5 is the counterexample.

Step-by-step explanation: The conjecture stated is that the product of two positive numbers is always greater than either number. We have to find certain values to check and see if this conjecture is false. We can use the numbers 1 and 5 to multiply. This would be the identity property of multiplication. 1 and 5 are both positive numbers and therefore that 1*5=5 is the counterexample.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: answer question a

To get the answer,

Hence, 120 different toppings pizza are possible

STEP 3: Answer question b

Hence, 1215450 mini-boxes are possible