Fred has 96 muffins, which he needs to box up. He needs 12 muffins in each box. 7 of the muffins are blueberry. How many boxes does he need? Your answer​

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Answer:

130g

Step-by-step explanation:

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The integration  ∫20x⋅f′(x)ⅆx is 1. The answer is (A) 1.

We can use integration by parts to solve this problem. Let u = x and v = f(x), then we have:

∫2^0 x f'(x) dx = [x f(x)]2^0 - ∫2^0 f(x) dx

Using the given values of f(0) and f(2), we get:

∫2^0 x f'(x) dx = -2f(0) + 2f(2) - ∫2^0 f(x) dx

Now, we need to find the value of ∫2^0 f(x) dx. We are given that ∫2^0 f(x) dx = 7, so substituting this value in the above equation, we get:

∫2^0 x f'(x) dx = -2 + 2f(2) - 7 = -9 + 2f(2)

We are also given that f(2) = 5, so substituting this value, we get:

∫2^0 x f'(x) dx = -9 + 2(5) = 1

Therefore, the answer is (A) 1.

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We can solve this problem using integration by parts. Let's let u = x and dv = f'(x)dx, which means that du = dx and v = ∫f'(x)dx = f(x). Using the integration by parts formula, we get:

∫2 0 x*f'(x)dx = [x*f(x)]2 0 - ∫2 0 f(x)dx

We know that f(0) = 1 and f(2) = 5, so:

[x*f(x)]2 0 = 2*5 - 0*1 = 10

Now we need to evaluate ∫2 0 f(x)dx. We know that ∫2 0 f(x)dx = 7, so:

∫2 0 x*f'(x)dx = 10 - 7 = 3

Therefore, the answer is (B) 3.
To find the value of the integral ∫2₀xf′(x)dx, we can use integration by parts. Let u = x and dv = f′(x)dx. Then, du = dx and v = ∫f′(x)dx = f(x).

Now apply the integration by parts formula: ∫udv = uv - ∫vdu. So, ∫2₀xf′(x)dx = xf(x)│₂₀ - ∫2₀f(x)dx.

Evaluate the terms: (2f(2) - 0f(0)) - ∫2₀f(x)dx = (2 * 5) - (0 * 1) - 7 = 10 - 7 = 3.

Therefore, the value of the integral ∫2₀xf′(x)dx is 3, which corresponds to option (B).

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The distance between point A and B is 6√2units

The distance between two point is the space between a given point from a reference point. The distance between two points is expressed as ;

d = √ y2-y1)²+(x2-x1)²

Here, A = ( 2,1) and B =( -4,7)

therefore ;

d = √( 7-1)²+(-4-2)²

d = √6²+6²

d = √36+36

d = √72

d = 6√2 units

therefore the distance between A and B is 6√2 units.

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The number of gift bags that Taisha will make is 10.

Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.

From the information given, Taisha wants to put 1/2 pound of chocolate in each bag and she has 4 \(\frac{3}{4}\) pounds of chocolate.

The number of bags that she needs will be calculated by dividing the fractions given. This will be:

= Total chocolate / Amount in each bag

= 4 \(\frac{3}{4}\) ÷ 1/2

= 19/4 ÷ 1/2

= 19/4 × 2

= 38/4

= 9 \(\frac{1}{2}\)

Therefore, she will need 10 bags.

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Answer:

fun fact : by reading what i just right u just lost 5 sec of ur life

Step-by-step explanation:

N in (-oo:+oo)

(-5/7)*n+1 = 21 // - 21

(-5/7)*n-21+1 = 0

-5/7*n-20 = 0 // + 20

-5/7*n = 20 // : -5/7

N = 20/(-5/7)

N = -28

N = -28

hope it worked out, since i'm not entirely sure.

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

From the question we have

\(m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ \)

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

Answer:

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

\(m = \dfrac{y2 - y1}{x2 - x1} \)

Here:

Plugging these values:

\(m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} \)

This can be written as:

\(m = \dfrac{ - 22 + 2}{ - 4 + 4} \)

\(m = \dfrac{ - 20}{0} = \infty \)

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

Answer:

4.671 = (4.67 × 100)(1 × 100) = 467100.

Step-by-step explanation:

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 467100 is also equal to 467100 when expressed as a mixed number.

Answer:

4 67/100

Step-by-step explanation:

From the info we have, we now that the whole number is 4.

.67 ends in the hundredths place which means it will be a decimal over 100.

Now you have 67/100 and since 67 is prime it can't be simplified.

Put them together and you get 4 67/100

I hope this helps, and have a great day! :)

The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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Answer:

the question mark is -2

Step-by-step explanation:

2^-8/2^2=2^-10

(2^5)^-2=2^-10

?=-2

We can set the first point of our zip line as follows:

(x₁ , y₁ , z₁) = (0, 0, 46)

So the end of the zip line would be:

(x₂ , y₂ , z₂) = (45, 25, 39)

Now let's use the given distance formula to solve this problem:

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

Sanyo  option (b) would be chosen using the elimination-by-aspects decision rule.

In the elimination-by-aspects decision rule, you compare the options based on specific aspects and eliminate those that do not meet a certain cutoff point for each aspect.

Here's how the comparison unfolds based on the given information:

1. Performance: The cutoff point is ranked 1. Sanyo and Sony meet the cutoff, but Pioneer does not.

  Eliminated: Pioneer

2. Price: The cutoff point is ranked 4. Sanyo and Pioneer meet the cutoff, but Sony does not.

  Eliminated: Sony

3. Quality: The cutoff point is ranked 4. All three options (Sanyo, Sony, Pioneer) meet the cutoff.

4. Style: The cutoff point is ranked 3. Sanyo meets the cutoff, but Sony and Pioneer do not.

  Eliminated: Sony and Pioneer

Based on the elimination process, the remaining option is Sanyo. Therefore, (b) Sanyo would be chosen using the elimination-by-aspects decision rule.

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Answer:

-200

Step-by-step explanation:

100-300=-200

or 400

Answer:

x = 14k

Step-by-step explanation:

To make x the subject of the equation x/14 = k, we can multiply both sides of the equation by 14:

(x/14) * 14 = k * 14

This simplifies to:

x = 14k

Therefore, the equation x/14 = k is equivalent to x = 14k, where x is the subject of the equation.

Answer: x=14k

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+y-ax-ay

by grouping the like terms,

x-ax+y-ay

since x and y are common in all the terms,

=x(1-a) + y(1-a)

= (1-a) ( x+y)

hope this helps

plz mark it as brainliest!!!!!!!!!

The factorized expressions of (x + y)² is

x² + y² + 2xy

The factorized expressions of (-ax - ay)² is

a²x² + ay² + 2a²xy

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Using middle-term factorization.

1)

(x + y)²

x² + y² + 2xy

2)

(-ax - ay)²

(-ax)² + (-ay)² + 2 x (-ax)(-ay)

a²x² + ay² + 2a²xy

Thus,

The factorized expressions are:

x² + y² + 2xy

a²x² + ay² + 2a²xy

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The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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To evaluate the definite integral ∫(13x - 4) dx by interpreting it in terms of area, we can break down the integral into two parts based on the sign of the function within the interval of integration and the total area enclosed by the curve represented by the function 13x - 4 within the interval [0, 5] is the sum of the areas calculated above: 88 + 158.5 = 246.5 square units.

First, let's consider the integral of the function 13x - 4 from x = 0 to x = 4. The integrand is positive for this interval, so we can interpret this integral as finding the area under the curve.

To find the area under the curve, we can calculate the definite integral as follows:

∫[0 to 4] (13x - 4) dx = [6.5x² - 4x] evaluated from x = 0 to x = 4

= (6.5 * 4² - 4 * 4) - (6.5 * 0² - 4 * 0)

= (104 - 16) - (0 - 0)

= 88 square units.

Next, let's consider the integral of the function 13x - 4 from x = 4 to x = 5. The integrand becomes negative for this interval, so we can interpret this integral as finding the area below the x-axis.

To find the area below the x-axis, we can calculate the definite integral as follows:

∫[4 to 5] (13x - 4) dx = [6.5x² - 4x] evaluated from x = 4 to x = 5

= (6.5 * 5² - 4 * 5) - (6.5 * 4² - 4 * 4)

= (162.5 - 20) - (104 - 16)

= 158.5 square units.

Therefore, the total area enclosed by the curve represented by the function 13x - 4 within the interval [0, 5] is the sum of the areas calculated above: 88 + 158.5 = 246.5 square units.

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Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer:

1/2

Step-by-step explanation:

I think it is 1/2 Sorry If i am Wrong

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

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Answer:Scale factor is 10 , the second part is 50

Step-by-step explanation:

Answer: x=36°

Step-by-step explanation:

The four interior angles of a quadrilateral always equal 360°, so:

(x+16)+(4x-8)+(4x-8)+x=360

Combine like terms:

360=10x+0

360=10x

36=x

Answer:

In image below

Step-by-step explanation:

The percentage of races in will his finishing time is between 64.5 and 65.5 seconds is 68%.

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% the values lies within one, two, or three standard deviations of the mean of the distribution.

\(\rm P(\mu - \sigma \ \ < X < \mu + \sigma) \ \approx 68\%\\\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%\)

where we had were mean of the distribution of X is μ and the standard deviation from the mean of the distribution of X is σ (assuming X is normally distributed).

When Kiran runs the 400 meters dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 0.5 seconds.

Then by the formula, we have

\(\rm P (65-0.5 < X < 65+0.5) = P(64.5 < X < 65.5) \approx 68\%\)

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