Chelsey needs 18\frac{3}{4} grams of Chemical X for a science project. She found 5\frac{1}{2} grams in one container and 11\frac{1}{4} grams in another container. How much more does she need?

Answer:

b

Step-by-step explanation:

when you multiply out using FOIL (First Inner Outer Last) you get b

The number of batches of cookies that can be made using 28 ounces of chocolate chips is 7.5 batches.

Based on the given conditions,

The number of ounces of chocolate chips per batch of cookies can be represented with the equation y = 6x,

Where,

y represents ounces of chocolate chips and

x represents batches of cookies

How to find number of batches of cookies can be made using 45 ounces of chocolate chips?

The given equation is,

y = 6x       (Equation-1)

If there are 45 ounces of chocolate chips,

y = 6x

We can substitute y value in equation-1,

45 = 6 * x

45 = 6x

x = 45/6

We can divide the coefficients,

x = 7.5 batches

Therefore,

7.5 batches of cookies can be made using 45 ounces of chocolate chips.

To learn more about information visit Batches problems :

brainly.com/question/29027799

#SPJ4

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

Learn more about probability at https://brainly.com/question/32274851

#SPJ11

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer:

3.141592653589793238462643383279502884197169399375105820974944592307816406286

Step-by-step explanation:

The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).

To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.

The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.

Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.

To learn more about factoring, click here: brainly.com/question/29074132

#SPJ11

Synthetic materials can play a significant role in preventing injuries and saving lives in several ways:

Protective Gear: Synthetic materials like Kevlar, high-density polyethylene, and synthetic fibers are used in the production of personal protective equipment (PPE). These materials provide excellent strength, durability, and resistance to impact, puncture, and abrasion. They are used in helmets, bulletproof vests, gloves, and other gear to protect individuals from physical injuries, impacts, and projectiles.

Medical Applications: Synthetic materials have revolutionized the medical field. Biocompatible materials like silicone, polymers, and metals are used in the production of prosthetics, implants, and medical devices. These materials help restore mobility and function to individuals with disabilities or injuries, enhancing their quality of life and saving lives in some cases.

Protective Barriers: Synthetic materials are used to create protective barriers in various industries and applications. For example, flame-resistant synthetic fabrics are used in firefighting suits to shield firefighters from heat and flames. Chemical-resistant materials are used in protective suits for workers handling hazardous substances. These barriers prevent direct contact with harmful elements, reducing the risk of injuries and saving lives.

Vehicle Safety: Synthetic materials are extensively used in the automotive industry to improve vehicle safety. High-strength synthetic composites, such as carbon fiber-reinforced polymers, are used to manufacture car frames and components. These materials offer excellent strength-to-weight ratios, enhancing the structural integrity of vehicles and reducing the risk of severe injuries in accidents.

Impact Absorption: Synthetic foams, such as expanded polystyrene (EPS) and polyurethane foam, are used in safety equipment and padding. These materials absorb and dissipate energy upon impact, reducing the severity of injuries. They are used in helmets, sports equipment, car seats, and mattresses, among others, to cushion impacts and protect individuals from harm.

Overall, synthetic materials provide customizable properties that can be engineered to enhance safety, durability, and protection. Their use in various applications can significantly reduce the risk of injuries and save lives in diverse scenarios.

Learn more about  related problem here:

https://brainly.com/question/30831564

#SPJ11

Answer:

8

Step-by-step explanation:

Each movie costs $4 since the bill increased by $4 when the customer watched a movie.

$29 - $25 = $4

Create an equality using this information.  Solve for x.

25 + 4x > 60

(25 + 4x) - 25 > (60) - 25

4x > 35

(4x)/4 > (35)/4

x > 8.75

Since the bill must stay under $60, round the answer down.  The customer can watch 8 movies with the given price range.

After calculating the questiοn, we get that the value οf 20% οf 75 is 15.

A value οr ratiο that may be stated as a fractiοn οf 100 is referred tο in mathematics as a percentage. Divide the number by the tοtal and multiply by 100 tο find the percent οf a given number. Therefοre, the percentage refers tο a pοrtiοn per hundred. Per 100 is what the wοrd percentage signifies. The letter "%" stands fοr it.

Percent changes applied sequentially dο nοt add up in the usual way. Fοr example, if the 10% increase in price cοnsidered earlier (οn the $200 item, raising its price tο $220) is fοllοwed by a 10% decrease in the price (a decrease οf $22), then the final price will be $198—nοt the οriginal price οf $200.

Here the given is,

=> 20% of 75

=> 20% \(\times\)75

=> \(\frac{20}{100}\times 75\)

=> 5\(\times 3\)

=> 15.

Hence the value of 20% of 75 is 15.

To learn more about percentage refer the below link

https://brainly.com/question/24877689

#SPJ1

Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

Answer:

10

Step-by-step explanation:

2 legs because you walked into the room and 4 legs of the bed and 4 legs of the chair.

The answer will be either 8 or 4 or 0.

What is a riddle?

A riddle is an intentionally framed ambiguous question or statement that requires ingenuity and critical thinking to solve or understand.

In the given riddle, all the two dogs, four horses, one giraffe and a duck are lying on the bed. Three chickens are flying over a chair.

Assumptions:

1) Bed is placed on the ground.

2) Bed and chair considered are of standard type.

case1:

If we consider the legs of only living organisms, the number of legs on the ground at the given instant will be 0.

case2:

If that's not the case, then a typical chair will have four legs, and a standard bed will also have four legs. So a total of 8 legs will be on the ground or floor of the room.

case3:

And if we consider the possibility of the chair being placed on the bed, then the legs of the chair will not touch the ground. So a total of 4 legs will be on the ground or floor of the room.

∴ From different perspectives, the number of legs on the ground will be either 8 or 4 or 0.

Find more riddles here:

https://brainly.com/question/20140875

#SPJ2

Answer: 16.1 ounces

Step-by-step explanation:

Do 14/.15= 2.1 then 14+2.1=16.1

Answer:

The ones that are checked are correct, I think they are they ones you chose.

Hey there!

a + b

= 2 + 3

= 5

Therefore, your answer is: 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The answer is C

Step-by-step explanation:

x=ln(24)In(8)=8=log(24)x

These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

To know more about times visit:

https://brainly.com/question/26941752

#SPJ11

Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

Answer:

1.

T mBAC = mB'A'C'

F 2mABC = mA'B'C'

F BC = 2B'C'

T 2XA = XA'

2

D'(-2/3; -1)

E'(-1;1)

F'(1;1)

G'(1;-1)

3

the centre is L(0;-2)

the scale factor is 4

length J'K' = 4JK

the measure of L is equal the measure of L'

the table:

K(4;2) 4 4 16 16 0+16 -2+16 K'(16;14)

Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022. We can calculate it in the following manner.

To calculate the amount of interest revenue that Nantucket Subaru will report on its income statement, we need to use the following formula:

Interest = Principal x Rate x Time

Where:

Principal is the amount of the note receivable, which is $6,000

Rate is the annual interest rate, which is 15%

Time is the time period, which is 13/12 of a year (since the note is for 13 months)

So, plugging in the values, we get:

Interest = $6,000 x 0.15 x (13/12)

Interest = $1,125

Therefore, Nantucket Subaru will report $1,125 of interest revenue on its income statement for the fiscal year ended December 31st, 2022.

Learn more about interest revenue here brainly.com/question/19165765

#SPJ4

Answer:

The answer is A on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just did on edge

We can calculate the line equation with two points the following manner:

For problem 19, we have:

For problem 20, we have:

For problem 21 and 22, we have to graph the equations, to do that we need to find two points on the line.

For problem 21, we can choose x = 2 and x = 3 and found the respective y-value:

With the points (2, -3) and (3, -1) we can graph the line:

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

Learn more about Congruent polygons here:

https://brainly.com/question/2096633

#SPJ1

To get rid of a fraction with a variable in the denominator, multiply both the numerator and denominator by that variable. This technique is very useful in simplifying complex fractions and solving equations involving fractions. To get rid of a fraction with a variable in the denominator

To get rid of a fraction with a variable in the denominator, you can use the technique of multiplying both the numerator and the denominator by the variable that is in the denominator. This will result in the variable canceling out from the denominator, leaving only the numerator.


Identify the variable in the denominator and the value of its exponent. For example, in the fraction 1/(x^2), the variable is x and the exponent is 2. Multiply both the numerator and denominator by the same power of the variable that is present in the denominator. In our example, multiply the numerator and denominator by x^2: (1 * x^2)/(x^2 * x^2). simplify the resulting expression by canceling out common terms between the numerator and denominator. In this case, x^2 in the numerator and denominator cancel out, leaving 1/(x^2) as the simplified answer without a variable in the denominator.

To know more about denominator visit:-

https://brainly.com/question/29148239

#SPJ11

We need to deal with sin^4(2x), which is equal to (sin^2(2x))^2. Applying the power reduction formula for sin^2(2x):
sin^4(2x) = ((1 - cos(4x))/2)^2
This expression does not contain any exponents greater than 1 and utilizes the power reduction formula as requested.

Using the power reduction formula for sin(2x), we have:
sin(2x) = 2sin(x)cos(x)
Substituting this into the expression sin^4(2x), we get:
sin^4(2x) = (2sin(x)cos(x))^4
Expanding this expression, we get:
sin^4(2x) = 16sin^4(x)cos^4(x)
Therefore, we can rewrite sin^4(2x) using the power reduction formula as:
16sin^4(x)cos^4(x)
the expression using power reduction formulas. Given the expression sin^4(2x), we can apply the power reduction formula for sin^2(x):
sin^2(x) = (1 - cos(2x))/2
Now, we need to deal with sin^4(2x), which is equal to (sin^2(2x))^2. Applying the power reduction formula for sin^2(2x):
sin^4(2x) = ((1 - cos(4x))/2)^2
This expression does not contain any exponents greater than 1 and utilizes the power reduction formula as requested.

To know more about power reduction visit:

https://brainly.com/question/16760406

#SPJ11

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

Fore more such question on confidence level.

https://brainly.com/question/29634773

#SPJ4

The probability of drawing an odd number or a number more than 7 is given as follows:

p = 1/2.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes is given as follows:

2 x 7 = 14.

Out of those, we have 7 desired outcomes, hence the probability is given as follows:

p = 7/14

p = 1/2.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

Answer:

The position of a particle is given by s=t^3-6t^2+9^t, where s is in meters and t is in seconds.

A) Compute the velocity and acceleration of the particle at time t.

B) At what time is the velocity 0?

C) What is the total distance traveled by the particle on 0 less than/equal to t less than/equal to 4.

Step-by-step explanation:

The position of a particle is given by s=t^3-6t^2+9^t, where s is in meters and t is in seconds.

A) Compute the velocity and acceleration of the particle at time t.

B) At what time is the velocity 0?

C) What is the total distance traveled by the particle on 0 less than/equal to t less than/equal to 4.

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence \(z_\frac{\alpha }{2} =1.44\)

The margin of error (E) is:

\(E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024\)

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

Answer:

1.  x^-3

2. b^7

Step-by-step explanation:

I am pretty sure those are the answers. I'm not 100%