In the morning, a farm worker packed 3 pints of berriesevery 5 minutes. In the afternoon, she packed 4 pints ofberries every 6 minutes. What was the differencebetween her morning and afternoon packing rates inpints per hour?

"meso-" and "medi-" both relate to the middle or intermediate position, but they may be used in different contexts and have distinct origins (Greek and Latin, respectively).

The prefixes "meso-" and "medi-" have different meanings:

Meso-: The prefix "meso-" generally means "middle" or "intermediate." It is derived from the Greek word "mesos," which carries the same meaning. In scientific and medical terminology, "meso-" is often used to indicate something that is located in the middle or intermediate position.

For example:

Mesoderm: The middle germ layer in the early development of an embryo.

Mesozoic: The era between the Paleozoic and Cenozoic eras, often referred to as the "Age of Reptiles."

Medi-: The prefix "medi-" typically means "middle" or "between." It is derived from the Latin word "medius," which conveys a similar sense. In various contexts, "medi-" is used to indicate something that is in the middle or intermediary position.

For example:

Median: Referring to the middle value in a set of numbers or the middle line or point dividing something into equal halves.

Mediastinum: The central area within the thoracic cavity, located between the lungs, which contains the heart, great vessels, and other structures.

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The expression  3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x²+x+5.

According to Joanna, the entire expression is the sum of 4 terms.

and according to Linne the coefficients are 3 and 0.

Since, The expression is the sum of 3 terms:

Square power of x, x and a constant 5.

Also, the coefficient of x² is 3 and coefficient of x is 1.

Therefore, the Joanna and Lienna both are wrong.

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x = 18 is the solution of the linear equation.

What are instances of linear equations?

5(x-8)=2(x+7)

5x - 40 = 2x + 14

5x - 2x = 14 + 40

3x = 54

x = 18

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:  A= 52cm  B= 94mm  C= 9m  D= 17cm

Step-by-step explanation:

A) You first need to find the missing sides by doing

11-9= 2

and 15-9= 6

you then add it all together

6+2+9+9+15+11=52cm

B) You first need to find the missing sides by doing

25-18=7

and 22-6= 16

you then add it all together

25+22+18+16+7+6=94mm

C) You first need to find the missing sides by doing

0.5+1=1.5 then 2.5-1.5=1

and 1.2+0.8=2 then 2-0.5=1.5

you then add the numbers all together

1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m

D) You first need to find the missing sides by doing

2.5+1= 3.5 then 3.5-2=1.5

and 1.5+2.5=4 then 5-4=1

you then add all the numbers together

2.5+2.5+1.5+1+5+2+1+1.5=17cm

The solution for given inequality is - 30 and 18. So the answer is option c. x < −30 and x < 18.

In mathematics, an inequality is an unequal comparison between 2 algebraic terms or algebraic expressions. The signs we used in inequality are Lessthan (<), greater than (>) or Less than or equal to(≤), greater than or equal to (≥).  

To solve an inequality we can add or subtract the same integer on both sides or we can multiply or divide the same integer on both sides. which doesn't change the condition of inequality.

Here we have an inequality that is

The inequality is three-fourths times the absolute value of the quantity third times x plus 2 end quantity is less than 6.  

The above statement can be converted as follows

=> \(\frac{3}{4} | \frac{x}{3} +2| < 6\)    

The equation can be solved as follows

=> \(3 | \frac{x}{3} +2| < 24\)    [  Multiplied by 4 on both sides ]

=> \(3 | \frac{x+6}{3} | < 24\)    

=> \(| x+6 | < 24\)    

=> \(x+6 < \pm24\)    

Take \(x+6 < 24\)  

=> x + 6 - 6 < 24 - 6     [ Subtract - 6 on both sides ]

=> x < 18

Take x + 6 < - 24

=> x + 6 - 6 < - 24 - 6   [ Subtract - 6 on both sides ]

=> x < - 30  

Therefore,

The solution for given inequality is - 30 and 18. So the answer is option c. x < −30 and x < 18.

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Answer:

Here you go!

Step-by-step explanation:

The answer is a 7.29 dollar tip.

Answer:

The total cost will be $43.74

Step-by-step explanation:

To solve the problem we first have to find what is 20% of $36.45.

To do this, multiply 36.45 by .20

36.45 x .20 = 7.29

now that we know how much is the tip, we add that to the bill

36.45 + 7.29 = 43.74

your final answer will be $43.74

Answer:

  the balls are larger, or don't pack as tightly

Step-by-step explanation:

The volume by either measure will depend on a couple of factors:

In a rectangular space, such as a box, it may be easier to pack cubes than balls. So, more cubes of the same volume would fit simply because they can be packed closer together.

We aren't told the volume of either the cube or the ball, and we're not told the extent to which the packing is optimized.

Fewer balls may fit because their packing is not as well optimized as that of the cubes, or because each has a larger volume than the cube being used.

The value of the function, f(1) is 3. Note that the answer is already in its simplest form and cannot be expressed as a fraction.

First, let's start by understanding what the function f(x) represents. The function f(x) takes an input value x and returns an output value based on a specific rule. In this case, the rule is defined by the equation f(x) = 4(1/4)^x+2.

To find f(1), we need to substitute 1 in place of x in the equation for f(x). So, we get:

f(1) = 4(1/4)^1 + 2

Now, we need to simplify this expression. Recall that any number raised to the power of 1 is just that number itself. So, (1/4)^1 is just 1/4.

Therefore, we can simplify the expression as follows:

f(1) = 4(1/4) + 2

= 1 + 2

= 3

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

The equation is: 3x^3 = 4x + 8

The form is ax^2 + bx + c = 0

Rewrite the given equation to equal 0:

Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8  = 0

Now give each letter their value:

a = -3, b = 4, c = 8

Answer: 23456789ol.09876

Step-by-step explanation:

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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The formula to calculate the magic number in MLB is: Magic number = 163 - (number of wins by leading team) + (number of losses by trailing team) - 1.

The "magic number" in Major League Baseball (MLB) represents the combination of wins by the leading team and losses by the trailing team required for the leading team to clinch a playoff spot. To calculate the magic number, follow these steps:

1. Determine the total number of games in the season. In MLB, this is typically 162 games.

2. Subtract the number of games in the season from 163. For example, 163 - 162 = 1.

3. Subtract the number of wins by the leading team from 163. For example, if the leading team has 90 wins, 163 - 90 = 73.

4. Add the result from step 2 to the result from step 3. For example, 73 + 1 = 74.

5. Finally, subtract the number of losses by the trailing team from the result of step 4. For example, if the trailing team has 80 losses, 74 - 80 = -6. In this case, the magic number is zero, meaning that the leading team has already clinched a playoff spot.

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Answer:

3x+9

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

Which can be simplified to:

√(x - iy) = √(x + iy) = a + ib

as required.

To prove that √(x - iy) = a + ib, we can start by squaring both sides of the equation:

√(x - iy) = a + ib

√(x - iy)^2 = (a + ib)^2

x - iy = a^2 + 2iab - b^2

Since x and y are both real, we can equate the real and imaginary parts separately:

Real part: x = a^2 - b^2

Imaginary part: -y = 2ab

Solving for a and b in terms of x and y gives:

b = -y/(2a)

a^2 - b^2 = x

Substituting for b in the second equation gives:

a^2 - y^2/(4a^2) = x

Multiplying both sides by 4a^2 gives:

4a^4 - y^2 = 4a^2x

This is a quadratic equation in a^2. Solving for a^2 using the quadratic formula gives:

a^2 = (y^2 ± √(y^4 + 16x^2y^2))/(8)

Since we want a to be real, we take the positive square root:

a^2 = (y^2 + √(y^4 + 16x^2y^2))/(8)

Substituting this expression for a^2 into the equation a^2 - b^2 = x and using b = -y/(2a) gives:

(y^2 + √(y^4 + 16x^2y^2))/(8) - y^2/(4a^2) = x

Simplifying and solving for y gives:

y^2 = 4a^2x/(4a^2 - √(y^4 + 16x^2y^2))

Substituting this expression for y^2 into the equation for a^2 gives:

a^2 = (2x + √(x^2 + y^2))/2

Taking the square root of both sides gives:

a = √((2x + √(x^2 + y^2))/2)

Finally, substituting this expression for a into the equation for b gives:

b = -y/(2a) = -y/√((2x + √(x^2 + y^2))/2)

Therefore, we have shown that:

√(x - iy) = a + ib = √((2x + √(x^2 + y^2))/2) - i(y/√((2x + √(x^2 + y^2))/2))

which can be simplified to:

√(x - iy) = √(x + iy) = a + ib

as required.

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Answer:

AD=7

Step-by-step explanation:

The opposite sides of the parallelogram are equal

AD=BC

BC=7

AD=7

Answer: B (65%)

Step-by-step explanation:

Let's start with what we know. Since your sister has 80 cupcakes and she gave you 28, that means she kept 52 for herself. So she has 52 of the total 80 which can also be written as:

52/80

This can be simplified to:

13/20

Now when getting percents we need to make the fraction something/100 so to do that with this fraction we can just multiply by 5 to get:

65/100

So the percent is B) 65

The solution to lim h→0 (9 + h)−1 − 9−1 h is -1/9.

To find the solution to lim h→0 (9 + h)−1 − 9−1 h, we can simplify the expression first.

Starting with (9 + h)−1, we can use the formula for the difference of squares to get:

\((9 + h)-1 = (9 + h - 9) / ((9 + h)(9 - 9)) = h / (9h + h^2)\)
Substituting this back into the original expression gives:

\((9 + h)-1 -9-1 h = h / (9h + h^2) - 1 / 9h\)

We can combine the two fractions by finding a common denominator of 9h(9 + h), giving:

(9h - (9 + h)) / (9h(9 + h)) = -1 / (9 + h)

Now we can take the limit as h approaches 0:

lim h→0 (9 + h)−1 − 9−1 h = lim h→0 -1 / (9 + h) = -1 / 9

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared. The correct answer would be an option (D).

Kinetic energy is the energy of motion, which can be seen as a body or subatomic particle moving. Kinetic energy exists in every moving object and particle.

Kinetic energy can be found using the formula Ek = 1/2 mv².

The variable Ek represents kinetic energy, the variable m is the mass in pounds (lbs.), and the variable v is the velocity in feet per second (ft/s).

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared.

The units of measure for mass (lb.), velocity (ft/s), and time (s) are combined to form the unit of measure for kinetic energy.

Thus, the unit of measure for kinetic energy is ft² lb² / s².

Hence, the correct answer would be option (D).

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