25. The manager of a coffee shop has Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10
per pound. The manager wishes to mix 80 pounds of the Kenyan coffee with the Costa Rican coffee to get a mixture that
will sell for SS per pound. How many pounds of the Costa Rican coffee should be used?

The countermeasures to avoid potential human errors are   Visual aids & work instructions, education and/or discipline, work standardization and discipline and TPM and skill building etc.

Many major accidents, such as Texas City, Piper Alpha, and Chernobyl, were caused by potential human error. Companies must manage human failure as rigorously as they manage technical and engineering measures to avoid accidents and illness.

There are several countermeasures for amateur or beginner mistakes. Potential human errors can be avoided by some measures including training, skill development, work standardisation, visual aids, and work instructions. Every human being makes mistakes, whether they are professional or not.

Thus, Visual aids and work instructions, education and/or discipline, work standardisation and discipline, TPM and skill building, and other counter measures are used to avoid potential human errors.

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The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

The amount of the pure drug in 75 ml will be 17.5 grams.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratio of the two proportional items will remain the same.

The amount of the drug is directly proportional to the contained liquid.

If 35 gms of the pure drug are contained in 150 ml.

Then the amount of the pure drug in 1 ml will be

⇒ 35 / 150

⇒ 0.2333 grams per ml

Then the amount of the pure drug in 75 ml will be

⇒ 0.2333 x 75

⇒ 17.5 grams

The amount of the pure drug in 75 ml will be 17.5 grams.

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The integral we get: ∬dxyda = ∫[0,2] (x\((6-3x/2)^{2/2}\))dx

To evaluate the double integral ∬dxyda over the triangular region D with vertices (0,0), (2,0), and (0,6), we need to set up the integral in terms of x and y and determine the bounds of integration.

Since D is a triangular region, we can express it as follows:

0 ≤ x ≤ 2

0 ≤ y ≤ 6 - 3x/2

We need to integrate the function xy with respect to both x and y over the given bounds.

The double integral can be written as:

∬dxyda = ∫[0,2]∫[0,6 - 3x/2]xydydx

To evaluate this integral, we first integrate with respect to y and then with respect to x. The inner integral integrates xy with respect to y, giving \((xy^{2/2})\). Then, we integrate the resulting expression \((xy^{2/2})\) with respect to x over the bounds [0,2].

Evaluating this integral, we get:

∬dxyda = ∫[0,2] (x\((6-3x/2)^{2/2}\))dx

Simplifying and evaluating this integral will provide the final result.

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The final price of the sweatshirt, after applying the 20% discount, would be approximately $32.80.

To calculate the final price of the sweatshirt after the sale, we need to consider the initial cost of the sweatshirt, the added price, and the discount applied.

Initial cost of the sweatshirt: $26

Added price: $15

The sticker price of the sweatshirt is the sum of the initial cost and the added price:

Sticker price = $26 + $15 = $41

Now, let's calculate the discount amount. The sale is for 20% off, which means the sweatshirt will be sold at 80% of its sticker price.

Discount amount = 20% of the sticker price = 20/100 * $41 = $8.20

To find the final price, we subtract the discount amount from the sticker price:

Final price = Sticker price - Discount amount = $41 - $8.20 = $32.80

Therefore, the final price of the sweatshirt, after applying the 20% discount, would be approximately $32.80.

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Answer:

A and E

Step-by-step explanation:

Other 2 wouldn't make sense

Only definite of A

Addition Property of Equality  ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed

The properties that can be used to solve 7y - 15 = -29 are

Addition property of equality and inverse property of multiplication.

Given equation is 7y - 15 = -29.

We will solve for y and see which of the given following properties are applied.

Addition property of equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Inverse property of multiplication

It states that every non-zero x multiplied with 1/x will equal 1.

Solve for y.

7y - 15 = -29

We will add 17 on both sides of the equation.

7y - 15 + 15 = -29 + 15

7y = -14

Now, multiply 1/7 into both sides of the equation.

7y / 7 = -14 / 7

y = -2

While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.

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The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).

The largest x value allowed is x = 11 because of the right-most point (11,100).

The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

3 = x/2

x = 3 * 2

x = 6

.......

Answer:

x=6

Step-by-step explanation:

cross multiply

x=3*2

x=6

The angle between vectors u = -3i + 4j and v = 7i + 5j is approximately 91.2 degrees.

To find the angle between two vectors u and v, we can use the formula:

cosθ = (u · v) / (||u|| ||v||)

where u · v is the dot product of u and v, and ||u|| and ||v|| are the magnitudes of u and v, respectively.

Let's begin by calculating the dot product of u and v:

u · v = (-3)(7) + (4)(5) = -21 + 20 = -1

Next, we need to calculate the magnitudes of u and v:

Now, we can substitute these values into the formula:

cosθ = (u · v) / (||u|| ||v||) = (-1) / (5 √74)

Using a calculator, we can find that cosθ ≈ -0.092. To find the angle θ, we can take the inverse cosine:

θ \(= cos^{-1(-0.092)}\) ≈ 91.2°

Therefore, the angle between the vectors u and v is approximately 91.2 degrees.

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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It would grow by approximately 1.6668 inches to 1.2504 inches

In Lixue's garden, the green pepper plants grew 5 inches in 3-4 months. To find out how many feet they can grow in one month, we can use the given information.

Let's start by converting the inches to feet. Since there are 12 inches in a foot, we divide 5 inches by 12 to get the equivalent in feet: 5 inches ÷ 12 = 0.4167 feet (rounded to four decimal places).

Now, we need to determine how much they can grow in one month. Since the plants grew 0.4167 feet in 3-4 months, we divide this amount by the number of months to find their average monthly growth.

If we assume that the plants grew 0.4167 feet in 3 months, their monthly growth rate would be 0.4167 feet ÷ 3 months = 0.1389 feet per month (rounded to four decimal places).

If we assume that the plants grew 0.4167 feet in 4 months, their monthly growth rate would be 0.4167 feet ÷ 4 months = 0.1042 feet per month (rounded to four decimal places).

Therefore, based on the given information, the green pepper plants can grow approximately 0.1389 feet to 0.1042 feet in one month, depending on whether we consider a 3-month or 4-month timeframe.

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Answer:

(5,3)

Step-by-step explanation:

Use desmos. I'll attach the graph below.

Solution is:

(5,3)

Answer:

0.16/8.5

Step-by-step explanation:

so to get the slope use (Y2-Y1) over (X2-X1)

this means that the formula is

1/2-1/3

---------

25.5- 17

Answer:

Center: (5,8), Radius: \(\sqrt{10}\)

Step-by-step explanation:

The explanation is attached below.

Answer:

To find the center and the radius of a circle that has a diameter with endpoints at (2, 7) and (8, 9), we can use the following steps:

1. Find the midpoint of the diameter using the formula: M = ((x1 + x2) / 2, (y1 + y2) / 2). This will give us the coordinates of the center of the circle. Plugging in the given endpoints, we get: M = ((2 + 8) / 2, (7 + 9) / 2) = (5, 8).

2. Find the length of the diameter using the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). This will give us the diameter of the circle. Plugging in the given endpoints, we get: d = sqrt((8 - 2)^2 + (9 - 7)^2) = sqrt(36 + 4) = sqrt(40).

3. Find the radius of the circle by dividing the diameter by 2: r = d / 2. This will give us the radius of the circle. Plugging in the value of d, we get: r = sqrt(40) / 2 = sqrt(10).

4. Write the equation of the circle using the standard form: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Plugging in the values of M and r, we get: (x - 5)^2 + (y - 8)^2 = 10.

Therefore, the center of the circle is (5, 8) and the radius is sqrt(10).

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Answer:

5/28

Step-by-step explanation:

P(oj, then grape) = 2/8 x 5/7 = 10/56 = 5/28

The probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

An ice chest contains 2 bottles of orange juice, 5 bottles of grape juice, and 1 bottle of apple juice, all buried in ice.

The probability of pulling out a bottle of orange juice and then a bottle of grape juice is calculated as below:-

Probability = Number of favorable outcomes / Number of sample

P(orange , then grape) = 2/8 x 5/7 = 10/56 = 5/28

Therefore, the probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.

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Answer:

40%

Step-by-step explanation:

1.50 - 0.90 = 0.60

0.60 cents are saved.

\(\frac{0.60}{1.50} = 0.4\)

0.4 = 40%

hope this helps :)

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

They made 132$, and 66 slices were sold.

Step-by-step explanation:

If all of the pies were cut into six pieces, and each piece costed $2, then you can multiply 6 x 2 to determine how much each pie cost. ($12)

If each pie costed $12 and there were 11 pies sold in total, then you can multiply 12 x 11 to find out how much money they made.

And to find out how many slices they sold you just have to multiply the 11 total pies by 6 because each pie had six pieces.

Answer:

13 in

Step-by-step explanation:

Let s be the length of a side of the triangle

then one rectangular face of the triangular prism

would be s x 14.

There are 3 rectangular faces in the triangular prism so

Lateral Surface Area  = 3 x (s x 14)

182 = 42s

182/42 = s

There are 3 sides to the triangle so

3 x (182/42) = 13

For line 1 slope is negative, for line 2 slope is undefined, for line 3 slope is positive and for line 4 slope is zero.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The slope of a line is a measure of its steepness and direction. To determine the sign of the slope, we need to look at the direction of the line:

Therefore, Lines 1, 2, and 4 have negative slopes, undefinable slopes for lines 2 and 3, and positive slopes for lines 3 and zero for lines 4.

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Answer:

Terminating.

Step-by-step explanation:

.4375 miles is terminating.

Answer:

terminating

Step-by-step explanation:

it's 0.3475

Answer:

Total number of flash = 50 flash

Step-by-step explanation:

Given:

Time taken of a flash = 3/5 minute = 3/5 × 30 = 36 sec

Total time = 30 minute = 30 × 60= 1800 sec

Find:

Total number of flash in 30 minutes

Computation:

⇒ Total number of flash = Total time / Time taken of a flash

⇒ Total number of flash = 1800 / 36

⇒ Total number of flash = 50 flash

The right response is "the average number of targeted keywords in a website is different than 5 keywords." The website developer asserts that the value of 5 in the article does not accurately reflect the genuine population mean of the number of keywords targeted in a website.

This claim may be one-tailed (if the website developer thinks the true mean is larger or less than 5) or two-tailed (if the website developer thinks the true mean is merely different from 5) in nature. The website developer feels the true mean is different from the value given in the article, without stating whether it is larger or less than 5. As a result, the claim is two-tailed in this instance.

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Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer:

Option 1

Step-by-step explanation:

Hello!

We can see that the base price for a canoe is $12, as you have to spend the $12 to get the canoe.

You also have to spend $5 per hour in the canoe, which is why "t" is being multiplied by 5.

We can also look at this graphically.

The x-axis is the number of hours, while the y-axis is the price. When x is 0 (no hours on canoe), you can see that the price is $12. But as it increases by 1 hour, the price increases by $5.