HELP ! find the unit price for a 16-oz, jar of peanut butter for $3.28

Answer: Solution is where the x intercepts on the graph

Step-by-step explanation:

There are 4 arrangements of the letters in FULFILLED that satisfy all the given properties simultaneously.

To determine the number of arrangements, we can break down the problem into smaller steps:

⇒ Arrange the three L's together.

We treat the three L's as a single entity and arrange them among themselves. There is only one way to arrange them: LLL.

⇒ Arrange the remaining letters.

We have the letters F, U, F, I, E, D. Among these, we need to ensure that no two F's are consecutive, and the vowels E, I, and U are in alphabetical order.

To satisfy the condition of no consecutive F's, we can use the concept of permutations with restrictions. We have four distinct letters: U, F, I, and E. We can arrange these letters in a line, leaving spaces for the F's. The number of arrangements can be calculated as:

P^UFI^E = 4! / (2! * 1!) = 12,

where P represents permutations.

Next, we need to ensure that the vowels E, I, and U are in alphabetical order. Since there are three vowels, they can be arranged in only one way: EIU.

Multiplying the number of arrangements from Step 1 (1) with the number of arrangements from Step 2 (12) and the number of arrangements for the vowels (1), we get:

Total arrangements = 1 * 12 * 1 = 12.

Therefore, there are 4 arrangements of the letters in FULFILLED that satisfy all the given properties simultaneously.

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Answer: D. It reduces the cost of your health services and treatments.

Step-by-step explanation:

Health insurance is a form of insurance that is applicable when someone is sick and has medical expenses to pay.

The benefit of health insurance is that it reduces the cost of your health services and treatments.

Health insurance protects an individual from paying huge amount on medical costs. Once a person is insured, the expense paid by six person is typically low as the insurance company covers the expenses.

Both graphs attached

A quadrilateral with all sides congruent and the shape of a baseball diamond is called a Rhombus (option c).

A rhombus is a quadrilateral with the shape of a baseball diamond with all of its sides being congruent. A unique variety of parallelogram called a rhombus has four equal sides. In the case of a baseball diamond, the base paths form four sides of equal length, creating a rhombus shape.

The angles of a rhombus are not necessarily right angles like a rectangle, and it is not a trapezoid because it has two pairs of parallel sides. Therefore, the correct answer is a rhombus, as it describes the specific characteristics of a quadrilateral with congruent sides, which resembles the shape of a baseball diamond. The correct option is c.

The complete question is:

A quadrilateral with all sides congruent and the shape of a baseball diamond is called a:

A. rectangle

B. trapezoid

C. rhombus

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Answer:

m= 2ke/v^2

Step-by-step explanation:

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

The expression cos (125°) - cos 55° cos 35° cos 55° can be written as cos (55°) + cos (55°) cos (35°) cos (55°).

cos (125°) can be rewritten as cos (180° - 125°). Similarly, cos (35°) can be rewritten as cos (180° - 35°). Therefore, the expression can be written as:

cos (180° - 125°) - cos (55°) cos (180° - 35°) cos (55°)

Simplifying further, we have:

cos (55°) - cos (55°) cos (145°) cos (55°)

Since 145° is the supplement of 35°, we can rewrite it as:

cos (55°) - cos (55°) cos (180° - 35°) cos (55°)

Now, cos (180° - 35°) is equal to -cos (35°). Therefore, the expression becomes:

cos (55°) + cos (55°) cos (35°) cos (55°)

Hence, the expression as a function of an acute angle is:

cos (55°) + cos (55°) cos (35°) cos (55°)

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Amount paid by each student = Rs.45765 / 150 = Rs.305

The school contributed an extra 1.7%. for the payment order on top of the registration fee of Rs. 45000.

To find the total amount paid by the school, we need to calculate the additional amount and add it to the registration fee:

Additional amount = (1.7/100) * 45000 = Rs. 765

Total amount paid by the school = registration fee + additional amount = 45000 + 765 = Rs.45765

To find the amount paid by each student, we need to divide the total amount paid by the school by the number of students:

Amount paid by each student = total amount paid by the school/number of students

Amount paid by each student = Rs.45765 / 150 = Rs.305

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One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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The correct model demonstrating the use of base ten blocks for the problem 5 + 7 = ? will show one ten block and two unit blocks, which represents the sum, 12.

To determine which model correctly demonstrates the use of the base ten blocks for the problem 5 + 7 = ?, follow these steps:

Represent the first number, 5, with base ten blocks. Since 5 is less than 10, you will use five unit blocks (each representing one).

Represent the second number, 7, with base ten blocks. Again, since 7 is less than 10, you will use seven unit blocks.

Combine the base ten blocks representing both numbers. In this case, you will have a total of 12 unit blocks (five from the first number and seven from the second number).

Check if any groupings of 10 can be made. Since 12 is greater than 10, you can create a group of 10 unit blocks and have two unit blocks left over.

Represent the combined number using base ten blocks. In this case, you will have one ten block (representing 10) and two unit blocks (representing 2).

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Answer:

N' (- 8, 2 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

N (8, 2 ) → N' (- 8, 2 )

a. The probability that exactly 125 km of track need to be tested before a defect is found is approx 0.005186, or about 0.52%,

b. Before a defect is discovered, 100 1-km segments of railroad track need to be tested.

a. To compute the probability that exactly 125 km of track need to be tested before a defect is found, we can use the geometric distribution. The geometric distribution models the number of independent and identically distributed trials needed to achieve the first success. In this case, a success is finding a defective 1-km segment of track.

The probability of finding a defect on any given 1-km segment is 0.01, so the probability of not finding a defect on any given segment is 0.99. Therefore, the probability of finding the first defect on the 125th 1-km segment tested is:

P(X = 125) = (0.99)^124 * 0.01

Where X is the number of 1-km segments tested before the first defect is found.

Using a calculator, we can evaluate this probability to be approximately 0.005186, or about 0.52%.

b. The expected value of the geometric distribution is given by:

E(X) = 1/p

Where p is the probability of success on any given trial. In this case, p = 0.01, so:

E(X) = 1/0.01 = 100

Therefore, on average, 100 1-km segments of railroad track need to be tested before a defect is found.

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The answer is:

Work/explanation:

Although I cannot see the graph with the green and red lines, I can figure out the slope of the red line with the clues given in the problem.

We're given that the green line and the red one are parallel to each other. Well, the thing about parallel lines is that they have equal slopes.

So if the slope of the green line is -1, then the slope of the red line is -1.

The slope of the line is - 1. Hence option B is true.

Used the concept of slope of lines,

The slopes of parallel lines are equal. Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Given that,

The lines shown below are parallel.

And, the green line has a slope of -1.

Since the red and green lines are parallel lines.

Hence, The slopes of parallel lines are equal.

Here, the green line has a slope of -1.

Hence, the slope of the red line is also - 1.

Therefore, the correct option is B.

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The total distance that Sylvie will have driven is, 459 miles.

What is distance?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.

Let,  Sylvie is going on vacation. She has already driven 60 miles in one hour. She then travels for 7 hours at an average speed of 57 miles per hour.

In 7 hours Sylvie travel 7 x 57 = 399 miles.

So, the total distance is,

399 + 60 = 459 miles

Hence, the total distance that Sylvie will have driven is, 459 miles.

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Answer:

344

Step-by-step explanation:

Answer:

344 beads

Step-by-step explanation:

Multiply 430 by \(\frac{4}{5}\)

\(430*\frac{4}{5} \\= 430*\frac{4}{5} \\=\frac{1720}{5} \\= 344\)

Therefore, Keisha gives Eduardo 344 beads.

I hope this helps!

The value of the experimental probability of rolling a 6 is found as 1/5.

For the given question-

Thus, by the definition of the probability-

Probability (getting 6) = number of occurred outcomes/ Total outcomes

Probability (getting 6) = 18/90

Probability (getting 6) = 1/5

Thus, the value of the experimental probability of rolling a 6 is found as 1/5.

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The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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Answer:

7.25cm

Step-by-step explanation:

Let the complete question be;

Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.

Area of a trapezoid = 1/2(a+b)*h

a and b are the parallel sides (bases)

h is the height

Given

a = 3.5cm

b = 8.5cm

A = 43.5 sq.cm

Required

Height h

Substitute the given values into the expression

Area of a trapezoid = 1/2(a+b)*h

43.5 = 1/2(3.5+8.5)*h

43.5 = 1/2 * 12h

43.5 = 6h

h = 43.5/6

h = 7.25cm

Hence the height is 7.25cm

Answer:300 m

Step-by-step explanation:

The quadratic equation x² - 9 has two real roots.

The quadratic equation x² + 3 · x - 10 has two real roots.

The cubic equation x³ - 5 · x² + 10 · x - 8 has two complex conjugate roots and a real root.

According to complex conjugate root theorem, if a quadratic equation has a root of the form a + i b, where a, b are real numbers, then the other root is  a - i b. In addition, roots of quadratic equations of the form a · x² + b · x + c, where a, b, c are real coefficients. By quadratic formula, the equation has complex conjugate roots if:

b² + 4 · a · c < 0

Now we proceed to check each quadratic equations:

Case 1: (a = 1, b = 0, c = - 9)

D = 0² - 4 · 1 · (- 9)

D = 36

The equation has no complex conjugate roots.

Case 2: (a = 1, b = 3, c = - 10)

D = 3² - 4 · 1 · (- 10)

D = 9 + 40

D = 49

The equation has no complex conjugate roots.

The latter case is represented by a cubic equation, whose standard form is a · x³ + b · x² + c · x + d, where a, b, c, d are real coefficients. The equation has a real root and two complex conjugate roots if the following condition is met:

18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² < 0

Now we proceed to find the nature of the roots of the polynomial: (a = 1, b = - 5, c = 10, d = - 8)

D = 18 · 1 · (- 5) · 10 · (- 8) - 4 · (- 5)³ · (- 8) + (- 5)² · 10² - 4 · 1 · 10³ - 27 · 1² · (- 8)²

D = - 28

The equation has a real root and two complex conjugate roots.

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On solving the provided question, we can say that the random sampling is \(^5C_{2}\) = 4X5/ 2= 10

A simple random sample may be 25 employees chosen at random from a firm with 250 workers. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. The sampling technique of random sampling, also known as probabilistic sampling, enables the randomization of sample selection. It is crucial to keep in mind that populations as a whole are not always accurately represented by sampling. Sampling error is the term used to describe all variance.

population size, \(N = 5\)

sample size, \(n = 2\\\)

\(^5C_{2}\) = 4X5/ 2

= 10

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Answer:

The street light is 20 feet tall.

Step-by-step explanation:

This question depends on a proportion. Keep your height of the object in one ratio and the length of the shadow in the other.

25/x = 75/60      Notice the height of the structure is on the left. The length of the shadow is on the right. Cross multiply

75x =  60 * 25     Combine the right

75x = 1500          Divide by 75

x = 1500/75

x = 20

The street light is 20 feet tall.

Answer: Choice c.  39; 51

======================================================

Explanation:

Using the SSS congruence theorem, we can show that triangle ABC is congruent to triangle ADC. This in turn means that angle BAC is congruent to angle DAC as these are corresponding angles.

So angle 1 is 39 degrees.

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

For any kite, the diagonals always are perpendicular (this can be proven using a similar idea as shown above, but a bit more steps are needed). This means they meet at a right angle, and angle 2 is 90 degrees.

Let point E be the intersection point of the diagonals.

Since angle AEB is 90, this makes angle AED also 90.

Focus entirely on triangle AED. This is a right triangle.

In this triangle, A = 39, E = 90, and D is unknown

Let's find angle D

A+E+D = 180

39+90+D = 180

129+D = 180

D = 180 - 129

D = 51

Angle D is 51 degrees, which also means angle ADB = 51 degrees. This is the measure of angle 3.

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

We found that

Therefore, the final answer is choice C

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Answer:

Step-by-step explanation:

The equation of a line in slope-intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Get the slope

m = -5-1/2-(-2)

m = -6/4

m = -3/2

Get the intercept

Substitute m = -3/2 and (-2, 1) into y = mx+c

1 = -3/2(-2) + c

1 = 3 + c

c = 1-3

c =-2

Get the required equation

y = mx+c

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

y  = -3/2 x -2

Hence the required equation is  y  = -3/2 x -2

There are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit using combinations.

To determine how many phone numbers can be made with 10 digits, where any single digit number (0-9) can be used for any digit, follow these steps:

1. Understand that there are 10 possible digits (0-9) for each digit in the phone number.
2. Since there are 10 digits in the phone number, you need to calculate the total number of combinations by multiplying the number of possibilities for each digit.

To calculate this, simply raise the number of possible digits (10) to the power of the number of digits in the phone number (10):

10^10 = 10,000,000,000

So, there are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit.

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