Write an expression that represents the difference between the fat in a cookie from the new recipe and the target fat content

Answer: I think It is 63.64%. If I'm wrong I'm sorry.

Step-by-step explanation:

Ask yourself what is 56% out of 88%. I did it in my head, but I got 63.6363636% then I rounded it to 63.64%.

Answer:

x^2 +6x+7

Step-by-step explanation:

for roots a and b

x^2 - (a+b)x + ab = (x-a)(x-b)

The double number line shows that Hiawatha is 75% as old as Itzel. This means that Hiawatha's age is 75% of Itzel's age. If we let Itzel's age be x, then Hiawatha's age is 0.75x.

A double number line is a visual representation of two related numerical quantities, such as distance and time or cost and quantity.

It consists of two parallel lines that are divided into equal segments or tick marks.

Each line represents one of the quantities, and the tick marks show the values or measurements of that quantity.

To complete the table showing different percentages of Itzel's age, you can choose different values of x and then calculate 75% of that value to find Hiawatha's age. For example:

If Itzel is 20 years old, then Hiawatha is 0.75 x 20 = 15 years old (since he is 75% as old as Itzel).

If Itzel is 40 years old, then Hiawatha is 0.75 x 40 = 30 years old.

If Itzel is 60 years old, then Hiawatha is 0.75 x 60 = 45 years old.

You can continue this pattern for different values of Itzel's age to complete the table.

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The double number line demonstrates that Itzel is 75% older than Hiawatha, who is 24 years old.

Itzel is 25% older than Hiawatha, who is 8 years old.

Itzel is 100% older than Hiawatha, who is 32 years old.

The visual representation of two linked numerical quantities, such as length and time or price and quantity, is called a double number line.

Two parallel lines that have been separated into equal pieces, or tick marks, make up the object.

The tick marks on each line denote the values or measurements of each quantity, and each line represents one of the quantities.

You can select various numbers of x and then multiply that number by 75% to determine Hiawatha's age in order to finish the table that displays various percentages of Itzel's age.

The double number line demonstrates that Itzel is 75% older than Hiawatha, who is 24 years old.

(24/3) = 8 => 25% of Itzel's age

(8*4) = 32 => 100% of Itzel's age

From the double number line

Age (years)     Percentage

[24]                 75% of Itzel's age

[ 8]                  25% of Itzel's age

[32]                 100% of Itzel's age

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The complete question is attached below,

Therefore , the solution of the given problem of equation comes out to be  x = 5 is a correct answer to the problem.

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization results in a + 7 rather than a separate algorithm who divides 12 onto two separate components and is able to evaluate data obtained from x + 7.

Here,

We can begin by making the provided equation simpler:

=> 5/(x - 4) = x/(x - 4)

=> 5 = x

Consequently, x = 5 is the answer to the problem.

The result of adding x = 4 to the initial equation is:

=> 5/(4 - 4) = 4/(4 - 4)

That amounts to:

=> 5/0 = 4/0

However, since division by zero is undefinable, the answer x = 4 is superfluous and does not satisfy the equation.

The result of the initial equation with x = 5 is:

=> 5/(5 - 4) = 5/(5 - 4)

That amounts to:

=> 5/1 = 5/1

As a result, x = 5 is a correct answer to the problem.

In conclusion, only one of the solutions -x = 5 is correct, and the other

-x = 4 is unnecessary because it results in a divide by zero.

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Answer:

m = -1, c = 5

Step-by-step explanation:

Provided in the attachment.

Numeric (continuous) variable: the amount of zantac in milliliters that the nurse will administer.A millilitre is a unit of capacity measurement. It is one thousandth of a litre in size. In other words, a one-liter container may hold  [tex]1,000[/tex] millilitres.

A millilitre is a more manageable unit of measurement for liquid volume or capacity in the metric system. It is used to measure smaller amounts of liquid and is equal to one thousandth of a litre (1 litre = 1000 millilitres).

To calculate how many millilitres of Zantac will the nurse administer to the patient, you need to know the concentration of Zantac in the dosage form and the prescribed dose for the patient.

For example, if the patient is prescribed 150 mg of oral Zantac twice daily and has a bottle of syrup that contains 15 mg/mL of ranitidine, then the nurse will administer [tex]10 mL (150 mg / 15 mg/mL)[/tex]  of syrup per dose.

Therefore, If the patient is prescribed 50 mg of intravenous Zantac every 8 hours and has a vial of solution that contains 25 mg/mL of ranitidine, then the nurse will administer 2 mL (50 mg / 25 mg/mL) of solution per dose.

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We can rewrite the right side of the equation as a power of 2 since 8 = 2^3:

(1/32)^x = (2^3)^3-x

Simplifying the right side:

(1/32)^x = 2^(9-3x)

We can write both sides using a common base, say 2:

2^(-5x) = 2^(9-3x)

Now we equate the exponents and solve for x:

-5x = 9 - 3x

-2x = 9

x = -4.5

Therefore, the solution to the equation is x = -4.5.

Answer:

yes

Step-by-step explanation:

The answer to 3 divided by 8 can also be written as a mixed fraction as follows: 0 3/8 Note that the numerator in the fraction above is the remainder and the denominator is the divisor.

Ray's car will use 4.68 kiloliters of gasoline and travel 39.54 kilometers

Every week, Ray fills his car with 45 liters of gasoline. To calculate the total amount of gasoline used by Ray's car over two years, we must first convert liters to kiloliters. One kiloliter is equal to 1,000 liters, so 45 liters is equal to 0.045 kiloliters. Therefore, in two years, Ray's car will use 0.045 kiloliters x 104 weeks (2 years x 52 weeks per year) = 4.68 kiloliters of gasoline.

To calculate how many kilometers the car will travel with 4.68 kiloliters of gasoline, we need to know the car's fuel efficiency rating. Assuming the car has an average fuel efficiency rating of 8.5 kilometers per liter, we can calculate that the car will travel 8.5 kilometers x 4.68 kiloliters = 39.54 kilometers with 4.68 kiloliters of gasoline.

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Answer:

a) 6x10^-6 b) 0.000006 c) I would not be concerned

Step-by-step explanation:

a)

50% is just half and more just means added onto.

Half of 4x10^-6 is 2x10^-6

If you add that onto the original value, you will have:

6x10^-6 (standard form)

b)

0.000006 (ordinary number)

c)

I would not be concerned about the increase in probability of a side effect while using the new medicine. The probability to begin with is extremely low, almost insignificant. While the 50% increase may sound intimidating, it is just a 50% increase on a number that is already very very small. Honestly, it makes almost no difference.

Hence, C) The child performed every task on the list last month is the right answer.

Mathematicians utilize the unitary approach as a tool for solving proportionality-related problems. Given certain known values, it entails applying ratios and proportions to find unknown quantities. According to the unitary technique, if two quantities are connected to one another in a particular way, we can determine the value of one quantity by knowing the value of the other. This is accomplished by first determining the unit value of the given quantity, which is then multiplied or divided to yield the desired value.

given

Let's name the quantity of housework the youngster performed "x".

The total earnings can be expressed by the equation below, where the child earns an additional $12 if they finish all the chores on the chore list:

Total income = 2x plus 12

We are informed that the child accomplished all of the chores on the list for the previous month and earned $44. We may set this equal to 44 and find x by using the equation above:

2x + 12 = 44

2x = 32

x = 16

The kid finished 16 housework tasks last month.

Now that we know which of the following is true:

A) The youngster finished ten domestic duties.

This is untrue, since we determined that the child accomplished 16 domestic duties.

A) The youngster received $4 for finishing all the tasks on the list.

This is untrue because the child receives $12 for finishing the chores on the list.

B) Last month, the youngster finished all of the chores on the list.

This is accurate because we were told the child accomplished every task on the list and discovered that there were 16 in all.

Hence, C) The child performed every task on the list last month is the right answer.

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The width of the rectangular prism box is 1.5 inches if the length of the box is 5 inches and the height of the box is 8 inches.

The volume of a rectangular prism = 60 cubic inches.

The length of the box = 5 inches

The height of the box = 8 inches

To calculate the width of the rectangular prism, we can use the formula for volume:

Volume = length * width * height

Mathematically,

V = l*w*h

60 = 5w * 8

w = 60 / (5 * 8)

w = 1.5 inches

Therefore we can conclude that the width of the rectangular prism box is 1.5 inches.

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Answer:huh,

Step-by-step explanation:I don’t understand you’re saying

For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.

Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.

The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.

Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis

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the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).To find the location of the receiver, we first need to determine the equation of the paraboloid.

The standard equation for a paraboloid of revolution with a vertical axis is:

z = [tex](x^2 + y^2)[/tex]/(4f)

Where:

z is the height at any point (x, y) on the paraboloid.

x and y are the horizontal coordinates of the point.

f is the focal length of the paraboloid, which is half the depth of the dish.

In this case, the dish is 6 feet across at its opening, so the diameter is 6 feet and the radius is 3 feet. Therefore, the maximum value of x and y is 3 feet. The depth of the dish is given as 2 feet.

Using these values, we can solve for the focal length:

2 = [tex](3^2 + 3^2)[/tex]/(4f)

2 = 18/(4f)

f = 18/8 = 9/4 = 2.25 feet

Now that we have the value of f, we can find the location of the receiver, which is placed at the focus of the paraboloid. The focus is located at (0, 0, f).

Therefore, the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).

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The smaller number is 5.5 and the larger number is 15.5.

Let's start by assigning variables to the two unknown numbers. Let x be the smaller number and y be the larger number.

From the problem statement, we know that:

x + y = 25 (the sum of the two numbers is 25)

y = 3x - 3 (the larger number is 3 less than three times the smaller)

We can use the second equation to solve for y in terms of x, by adding 3 to both sides:

y + 3 = 3x

Then, we can substitute this expression for y into the first equation:

x + (y + 3) = 25

Substituting y + 3 with 3x, we get:

x + 3x = 22

Combining like terms, we get:

4x = 22

Finally, we solve for x by dividing both sides by 4:

x = 5.5

Now that we know x, we can use the equation y = 3x - 3 to find y:

y = 3(5.5) - 3 = 15.5

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Brad needs to score between 72 and 79 on the fourth test in order to get a C for the semester.

To explain why this is so, we need to first understand how the grade for the semester is calculated.Since the final course grade depends entirely on the average of four equally weighted 100-point tests, this means that each test will count for 25% of Brad’s final grade. Therefore, Brad needs to get an average score of 70-79 (inclusive) on the four tests combined in order to get a C for the semester.

In order to calculate what range of scores Brad needs to get on the fourth test in order to get a C for the semester, we need to look at the scores he has already obtained on the first three tests. Brad has scored 87, 89 and 78 on the first three tests. This gives him a total score of 254 (87+89+78=254). This means that Brad needs to get a score of between 70 and 79 on the fourth test in order to reach a total score of between 280-309 (inclusive), which will result in an average score of between 70-79 (inclusive), and give Brad a C for the semester.

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The polynomial function f(x) = x³ - 5x² - 61x - 55 has the following

Real zeros: x = -5, x = -1, and x = 11.  

To find the rational zeros of a polynomial, we use the rational zeros theorem. We look at the factors of the leading coefficient and the factors of the constant coefficient.

The  states that if a polynomial function is defined as P(x) = anxn + an-1xn-1 + ... + a1x + a0 with integers, then each rational zero of the polynomial can be expressed in the form p/q where p is a factor of a0 and q is a factor of an.

For example, if P(x) = 2x³ - 5x² + 3x + 6 then p can be any factor of 6 and q can be any factor of 2.

The factors of the leading coefficient, 1, and the factors of the constant coefficient, -55, are: ±1, ±5, ±11, ±55. So the possible rational zeros are: ±1, ±5, ±11, ±55, ±1/1, ±5/1, ±11/1, ±55/1, ±1/1, ±5/1, ±11/1, ±55/1.

Simplifying the results, we have that the potential rational zeros are: ±1, ±5, ±11, ±55, ±1, ±5, ±11, and ±55.

By testing each possible rational zero, we find that x = -5, x = -1, and x = 11 are the real zeros of f(x).

Hence, using synthetic division, we get:

(x + 5)(x + 1)(x - 11) = x³ - 5x² - 61x - 55

Thus, the function can be factored over the real numbers as

f(x) = (x + 5)(x + 1)(x - 11).

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Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.

The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.

In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.

Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.

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The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.

We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).

This means that h = 1/2 and k = -1/2.

The radius of the circle is r = square 2 divided by 4.

We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.

Now we can substitute these values into the standard form equation to get:

(x - 1/2)² + (y + 1/2)² = 1/8

So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

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Answer:

4.03

Step-by-step explanation:

Answer:

First, we evaluate the expression inside the parentheses: 2⋅3 = 6.

Next, we evaluate the exponent: 6² = 36.

Finally, we subtract 5² = 25 from 36: 36 - 25 = 11.

Therefore, the value of the expression (2⋅3)² − 5² is 11.

The approximate monthly percent decrease in value of the boat is 0.5%.

The given value of a boat is 21 200, and it loses 6% of its value every year. We are to find the approximate monthly percent decrease in value.

The given information is as follows: The value of a boat = $21,200The percentage decrease in value = 6%We are to find the approximate monthly percent decrease in value. Annual decrease in value of a boat is 6% of $21,200= $1,272Monthly decrease in value of a boat will be 1/12 of the annual decrease = $1,272/12≈ $106Thus, the approximate monthly percent decrease in value of the boat will be

[tex]$\frac{106}{21,200}*100\%=0.5\%$[/tex]

Therefore, the approximate monthly percent decrease in value of the boat is 0.5%.

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Your question is incomplete, but probably the complete question is :

The value of a boat is $21,200. It loses 6% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.

If a triangular pyramid has a base shaped like an equilateral triangle. its surface area is: 120.41 square feet.

To solve this problem, we can use the formula for the surface area of a pyramid:

Surface area = base area + (1/2) x perimeter of base x slant height

First, we need to find the area of the base, which is an equilateral triangle. The formula for the area of an equilateral triangle is:

Area = (square root of 3) / 4 x (side length)^2

Substituting the given values, we get:

Area = (square root of 3) / 4 x 9^2

Area = (square root of 3) x 20.25

Area = 11.06 (rounded to two decimal places)

Next, we need to find the perimeter of the base, which is simply 3 times the side length:

Perimeter = 3 x 9

Perimeter = 27

Finally, we can use the given slant height to find the surface area:

Surface area = 11.06 + (1/2) x 27 x 8.1

Surface area = 11.06 + 109.35

Surface area = 120.41 square feet (rounded to two decimal places)

Therefore, the surface area of the triangular pyramid is approximately 120.41 square feet.

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Answer:

2*22/7/27+1

Step-by-step explanation:

2*22/7*27+1

2*(594+1)/7

2*595/7

2*85

170 ans..

The mathematician William Jones is credited with first using the Greek letter π

The mathematician William Jones is credited with first using the Greek letter π to represent the ratio of a circle's circumference to its diameter in a 1706 publication. He wrote, "there is no other more proper than Pi," and thus the symbol caught on among mathematicians. However, it's important to note that the concept of pi and its calculation had been around for thousands of years prior to Jones' use of the symbol.

Ancient Egyptian, Babylonian, and Indian mathematicians all had methods for approximating pi, and Archimedes famously used a geometric method to calculate it to a high degree of accuracy in the third century BCE.

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Answer:

The first one

Step-by-step explanation:

Use the pythagoras theorem=a ^2+b^2 =c^2

Use a is 9 b is 40 because the largest value is always the hypotenuse and the hypotenuse is always c.

so you do 9 squared add 40 squared to find c squared.

Square root the answer and you get 41 so it is a pythagoras triple

Mitchelle will receive R7200 and Angela will receive R10800.

How to find the value of one part by dividing the total amount won by the total number of parts?

To determine how much Mitchelle and Angela will each receive in the ratio of 2:3, we need to first find the total number of parts in the ratio, which is 2 + 3 = 5.

Value of one part = R18000 ÷ 5 = R3600

Therefore, one part of the ratio 2:3 is equal to R3600.

How to find out how much Mitchelle and Angela will each receive?

we can multiply their respective parts by the value of one part:

• Mitchelle's share = 2 parts × R3600 per part = R7200

• Angela's share = 3 parts × R3600 per part = R10800

Therefore, Mitchelle will receive R7200 and Angela will receive R10800.

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