The graphic shows the schedule network diagram (in minutes) for assembling a toy train set. What is the duration of the critical path?

A) 38 minutes
B) 41 minutes
C) 49 minutes
D) 51 minutes

Answer:

Step-by-step explanation:

Alright, lets get started.

For train A:

Distance from Milford and Pinkerton is 300miles.

Speed of train A is 90 miles per hour.

So, time taken to complete this distance = [tex]\frac{distance}{speed}[/tex]

So, time taken to complete this distance =[tex]\frac{300}{90}=3.333[/tex]

Means train A will take 3.33 hours or say 3 hrs and 19.8 minutes to reach Pinkerton.

So,if it starts at 10:00 AM, then it will reach at 01 hrs 19.8 minutes PM (01:19.8 PM).

For train B:

Speed of train B is 70 miles per hour.

Train B will take time =[tex]\frac{300}{70}=4.29[/tex]

Means 4 hrs and 17.4 minutes.

So, if it starts at 8:00 Am, then it will reach at 12 hrs 17.4 minutes PM(12:17.4 PM).

So, train B will be reaching Pinkerton before 1:00 PM   :  Answer

Hope it will help :)

Answer:

train B will be reaching Pinkerton before 1:00 PM

Step-by-step explanation:

[tex]Use\\\\\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\left(a^m\right)^n=a^{m\cdot n}\\---------------------\\\\\left(\sqrt[3]{2^5}\right)^{\frac{1}{4}}=\left[\left(2^5\right)^\frac{1}{3}\right]^\frac{1}{4}=2^{5\cdot\frac{1}{3}\cdot\frac{1}{4}}=\boxed{2^\frac{5}{12}}\\\\Answer:\ \boxed{\boxed{\big2^{\frac{5}{12}}}}[/tex]

Answer:

I got it wrong, but here's the answer

Step-by-step explanation:

Answer:

213

Step-by-step explanation:

You have to divide the 852 songs into the 4 categories.

852/4=

213

Answer:

1/10 of an hour

Step-by-step explanation:

3/5 in a decimal is 6/10 and 7/10 - 6/10 is 1/10 of an hour

Step-by-step explanation:

A rational number can be written as a ratio a/b, where a & b are integers & b \neq 0. Rational numbers are terminating or repeating. The radical sign means "the positive square root of."

Example:

√144 = "the square root of 144" but indicates the positive square root of 144, which is 12

Hope this helps!!! :)

Answer:

Rational equations or expressions (think rational numbers) are any expression which is in fraction form and where the denominator is not equal to zero. Like:  [tex]\frac{2}{x} ,\frac{3}{5}[/tex] etc.

Radical expressions are those expressions that contain radicals (square, cube, fourth roots). Like 4 and -4 are the square roots of 16. A square root is written with a radical symbol √ and the number inside the radical symbol is called the radicand.

Answer:

25 capsules.

Step-by-step explanation:

We are told that Joan has a prescription for 100 Theophylline capsules. Joan informs the pharmacist that she only has enough money to purchase ¼ of the prescription today.

To find the number of capsules that Joan will pay for today, we will find 1/4 of 100.

[tex]\text{The number of capsules that Joan will pay for today}=\frac{1}{4}\times 100[/tex]

[tex]\text{The number of capsules that Joan will pay for today}=25[/tex]

Therefore, Joan will pay for 25 capsules today.

Answer:

She spend $30

A flan cost $22.5

Step-by-step explanation:

Let's call x her initial money

After she bought the flan and two chicken pies she has $24.

She spend (5/9)*x in the flan and two chicken, then

x - (5/9)*x = 24

(4/9)*x =  24

x = 24*(9/4)

x = $54

She spend (5/9)*54 = $30

Let's call f the flan cost

Each chicken pie cost 1/6 as much as the flan, then:

30 = f + (1/6)*f + (1/6)*f

30 = (4/3)*f

f = 30*(3/4)

f = $22.5

Victoria had $54 in total. She spent $30 on the flan and two chicken pies altogether. The cost of the flan is $22.50.

The problem presents a situation where Victoria spends a fraction of her money on a flan and two chicken pies. Victoria has $24 left after these purchases. To solve this, we must first calculate the total amount of money Victoria had before making her purchases. Given that 5/9 of her money was spent on the flan and two chicken pies, and she has $24 remaining, we can set up the following equation where x represents the total amount of money:

x - (5/9)x = $24

This simplifies to:

(4/9)x = $24

By multiplying both sides of the equation by (9/4), we find the total amount of money Victoria had:

x = $24 \times (9/4)

x = $54

Victoria spent 5/9 of $54 on the flan and two chicken pies, which is:

(5/9) \times $54 = $30

If each chicken pie costs 1/6 the cost of the flan, we can let f represent the cost of the flan and (1/6)f the cost of each chicken pie. We have 2 chicken pies, so the equation would be:

f + 2 \times (1/6)f = $30

This simplifies to:

f + (1/3)f = $30

Combining like terms, we get (4/3)f = $30 which leads to:

f = $30 \times (3/4)

f = $22.50

So the cost of the flan is $22.50.

Answer:

{(1, 6.0), (2, 5.75), (3, 5.50)}

Step-by-step explanation:

That is most likely the answer. Hope this helps

-Kent

Answer:

a is the answer soooo brainlyist

Step-by-step explanation:

Answer:

Step-by-step explanation:

i'm saying A is the correct answer

Answer:

4b = 7

Step-by-step explanation:

5x = 20 has solution x = 4

8w = 32 has solution w = 4

12y = 48 has solution y = 4

whereas 4b = 7 has solution b = [tex]\frac{7}{4}[/tex]

The other 3 equations have a solution of 4 making 4b = 7 the odd one out

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

[tex]\text{Area of rectangle}=\text{Length* Width}[/tex]

Let us substitute our given values in area formula.

[tex]40=x*(x+3)[/tex]

Upon distributing x we will get,

[tex]40=x^2+3x[/tex]

[tex]x^2+3x-40=0[/tex]

Now let us factor out our quadratic equation using splitting the middle term.

[tex]x^2+8x-5x-40=0[/tex]

[tex]x(x+8)-5(x+8)=0[/tex]

[tex](x+8)(x-5)=0[/tex]

[tex]x+8=0[/tex] or [tex]x-5=0[/tex]

[tex]x=-8[/tex] or [tex]x=5[/tex]

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

The width of the rectangular storage room, considering it is 3 feet shorter than the length and the area is 40 square feet, is 5 feet.

The subject of this question is Mathematics and it is typically taught in Middle School. The problem describes a rectangle where the length is 3 feet longer than the width and the area is 40 square feet. The width is x and the length is x + 3 (since it is 3 feet longer). The area of a rectangle is defined as length times width, which can be expressed as 40 = x(x + 3), or x² + 3x - 40 = 0. This can be solved as a quadratic equation. The solutions of this equation are x = 5 and x = -8. But, since dimensions cannot be negative, the width of the room is 5 feet.

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Answer: 70%

Step-by-step explanation:

w - width

2w + 5 - length

w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter

34 cm - perimeter

The equation:

6w + 10 = 34    subtract 10 from both sides

6w = 24    divide both sides by 6

w = 4 cm

2w + 5 = 2(4) + 5 = 8 + 5 = 13 cm

Step-by-step explanation:

To find whether the rates are equivalent or not, we will use proportions.

[tex]\frac{126\text{ points}}{3\text{ games}}=\frac{210\text{ points}}{5\text{ games}}[/tex]

Let us simplify our fractions.

[tex]42\frac{\text{ points}}{\text{game}}=42\frac{\text{ points}}{\text{game}}[/tex]

We can see that both unit rates are same, therefore, the rates are equivalent and equal to 42 points per game.  

Answer:

-2744/405

Step-by-step explanation:

Answer:

-6 314/405

Step-by-step explanation:

( -2 1/3)^3 / (1 7/8)

I am going to change the mixed numbers to improper fractions

2 1/3 = (3*2 +1)/3 = 7/3

1 7/8 = (8*1+7)/8 = 15/8

( -7/3)^3 / (15/8)

I will use copy dot flip

( -7/3)^3 * (8/15)

Now I can split the first term into parts (a/b)^x = a^x/ b^x

(-7)^3/ 3^3 *8/15

-343/27 * 8/15

-2744/405

Now we need to change it back to a mixed number

405 goes into 2744  6 times

6*405 =2430  2744-2430 = 314  

-6 314/405

Answer:

Length: 19 feet

Width: 10 feet

Area: 190 feet[tex]x^{2}[/tex]

Step-by-step explanation:

This is a question about ratio.

Length: let [tex]x[/tex] be the actual length.

[tex]15.2 : x = 4 : 60[/tex]

[tex]x = 19 [/tex]

Width: let [tex]y[/tex] be the actual width.

[tex]8 : y = 4 : 60[/tex]

[tex]y = 10[/tex]

Area: A = xy

[tex] 19 * 10 = 190[/tex]

Final answer:

The actual art studio, based on the scale given, measures 19 feet in length and 10 feet in width, resulting in an area of 190 square feet.

Explanation:

To find the length and width of the actual art studio from the drawing plan, we need to apply the scale given which is 4 inches on the plan representing 5 feet in reality. For calculation, we first write the scale as a ratio: 4 inches ÷ 5 feet. Now, let's calculate the real-life dimensions of the studio.

Length: 15.2 inches on the drawing corresponds to (15.2 ÷ 4) × 5 = 19 feet in reality.

Width: 8 inches on the drawing corresponds to (8 ÷ 4) × 5 = 10 feet in reality.

Next, we calculate the area of the actual studio using the formula for the area of a rectangle, which is length multiplied by width.

Area = Length × Width = 19 feet × 10 feet = 190 square feet.

Answer:

114

Step-by-step explanation:

The first term (a1) = 1 + 3 = 4   (substituting 1 for i)

The last term (L) = 12 + 3 = 15

So the sum of the 12 terms = (n/2)(a1 + L)

= (12/2) (4 + 15)

= 6 * 19

= 114   (answer)

The value of the summation of arithmetic progression is 114

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the number of terms n = 12

Let the first term a = i + 3

when i = 1

a = 4

So , the first term of the arithmetic progression is a = 4

The second term a₁ = i + 3

when i = 2

a = 5

Now , the common difference d = second term - first term

Common difference d of the arithmetic progression = 5 - 4 =1

So , d = 1

Now , the sum of n terms of an AP is given by

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the formula , we get

Sₙ = ( 12/2 ) [ ( 2 x 4 ) + ( 12 - 1 ) x 1 )

Sₙ = 6 [ 8 + 11 ]

Sₙ = 6 x 19

Sₙ = 114

Therefore , the value of Sₙ is 114

Hence , The value of the summation of arithmetic progression is 114

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Answer:

Speed = 42. 86 miles per hour

Step-by-step explanation:

car accident located 5 miles away in 7 minutes

Given distance d= 5 miles

time = 7 minutes. convert minutes into hours

60 minutes = 1 hour

so 7 minutes = 7 / 60 hours

To find the speed  we use formula [tex]s= \frac{d}{t}[/tex]

d= 5  and t = 7/60

Plug in the values in the formula

[tex]s= \frac{d}{t}[/tex]

[tex]s= \frac{5}{\frac{7}{60}}[/tex]

[tex]s= 5* \frac{60}{7}[/tex]

s = 42.85714286

Speed = 42. 86 miles per hour

Answer:

The second choice.

Step-by-step explanation:

f(x) = -(x + 1)^2 + 4

This is a parabola which opens downwards ( because the coefficient of x is negative).

This is the vertex form of a parabola:  f(x) = a(x - b)^2 + c where the vertex is at (b, c). So in this case:-

The vertex is at (-1, 4).

The domain is  All Real Numbers and the Range is (-∞, 4]  (or y ≤ 4)

Answer:

The vertex is (-1, 4), the domain is all real numbers, and the range is y ≤ 4.

Answer:

Hello :

(x+4)/(4+x) = (x+4)/(x+4)  = 1   ( answer : C )  but x+4 no : 0

Answer:

C. 1

Step-by-step explanation:

Commutative property says that changing the order of the operands does not change the result. This can be expressed as:

[tex]a+b=b+a[/tex]

Using the previous information, we can say:

[tex]x+4=4+x[/tex]

And rewrite the equation as:

[tex]\frac{x+4}{x+4}[/tex]

Since the numerator and denominator are the same:

[tex]\frac{x+4}{x+4}=1\\\forall x\neq-4[/tex]

Answer:

(3,1)

Step-by-step explanation:

The answer is (3,1) because that's where both lines intersect.

Answer: the answer is (3,1) :)

Step-by-step explanation:

Answer:

Jess's bill amount without tip: B

Jess's tip amount: 0.21B.

Jess's total bill amount: [tex]B+0.21B[/tex]

Step-by-step explanation:

We have been given that Jess has dinner at a restaurant. The dinner bill is B dollars. So the Jess's bill amount without tip will be B dollars.

We are told that she pays a 21% tip. Let us find 21% tip of dinner bill (B).  

[tex]\text{Jess's tip amount}=\frac{21}{100}*B[/tex]

[tex]\text{Jess's tip amoun}=0.21B[/tex]

Therefore, Jess's tip amount will be [tex]0.21B[/tex].  

Let us find total amount of Jess's bill by adding bill amount (0.21B) to the Jess's bill amount without tip (B).

[tex]\text{Total amount of Jess's bill}=B+0.21B[/tex]

Therefore, the total amount of Jess's bill will be [tex]B+0.21B[/tex].

Jess's bill without tip is B, her tip amount is 0.21B, and her total bill including a 21% tip is 1.21B.

When Jess has dinner at a restaurant with a dinner bill of B dollars and decides to pay a 21% tip, you can calculate her expenditures in the following manner:

Therefore, the expressions that match their correct meanings for Jess are as follows: Jess's bill amount without tip: B, Jess's tip amount: 0.21B, Jess's total amount: 1.21B.

Answer: The answer is D 12 i am pretty sure.

Answer:

it is the two real one

Step-by-step explanation:

Answer:

Introducing a change to the subgroup

Step-by-step explanation:

Given there are four statements.  We have to find the one which represents one of the differences between an experiment and an observational study.

The answer is option 2. Introducing a change to the subgroup

Experimental and observational studies are both types of studies between which a number of differences can be identified. When conducting research studies,  various types of research in order to arrive are adopted according to the need.  

An experimental study is a study where the researcher has control over most of the variables.

On the other hand, an observation study is a study where the researcher cannot control any variable but merely observes the subject without controlling any variables.

Answer:

B

Step-by-step explanation:

Answer:

C.) 768

Step-by-step explanation:

You first solve for the slope, or rate of change, which is 1128. Then you just add 256 to 512 because you are going from gallons equals 4 to gallons equals 6. That gives you 768 for the fluid ounces.

Answer:

Local max is .5

Step-by-step explanation:

The local maximum is for x values between 2 and 4

It looks like the x value is 2.5 and the y value is .5

Answer:

just rolling the dice on a 6 would be just fine bby.

Step-by-step explanation:

Rolling a 6 on a dice = 1/6 or 0.16 chance

rolling a 6 and getting heads on the coin = 1/6x1/2= 1/12 or 0.083 chance

We have

[tex]81-49n^4=9^2-(7n^2)^2[/tex]

so this is indeed a difference of squares. Factorizing would give

[tex]81-49n^4=(9-7n^2)(9+7n^2)[/tex]

making the answer D.

We can further factor the first term here and write

[tex]9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)[/tex]

but that's clearly out of the scope of this question.

Answer:

D is the answer

Answer:

- 2 - 3i

Step-by-step explanation:

given a complex number a + bi

then the conjugate is a - bi

The real part a remains unchanged while the sign of the imaginary part is reversed.

the conjugate of - 2 + 3i is - 2 - 3i