Answer:
-12u+8w+16
Step-by-step explanation:
to get rid of the parenthesis you multiply everything that is inside of the parenthesis by -4
-4x3u=-12u
-4x-2w=8w
-4x-4=16
then we just add everything together and end with
-12u+8w+16
hope this helps (;
Hill K-12
Math
What is the formula for the area of the base of a triangular prism?
Is it:
A. .5(a)(b)(h)
B. .5h(a+b)
C. .5(a+b)
D. .5(a)(b)
Answer:
Step-by-step explanation:
i think its A
translate: five less than the produce of a number and six is at least eight
Answer:
6n - 5 ≥ 8
Step-by-step explanation:
Converting the worded terms into expressions :
"five less than" ⇒ -5"the product of a number and 6" ⇒ 6n"at least eight" ⇒ ≥ 8Putting it all together :
6n - 5 ≥ 8Answer:
6x - 5 ≥ 8
Step-by-step explanation:
Let that number be " x ".
The product of a number and six,
x * 6 = 6x
Five less than the prod.uct of a number and six,
6x - 5
Five less than the prod.uct of a number and six is at least eight,
This means,
6x - 5 = 8
As well as,
6x - 5 > 8
Both combined,
6x - 5 ≥ 8
Hence, translated.
Note : -
Since the word " at least " is given in the question, we use " ≥ ".
Lem.me also solve this and find the value of x.
6x - 5 ≥ 8
Add 5 on both sides,
6x ≥ 8 + 5
6x ≥ 13
Divide 6 on both sides,
x ≥ 13/6
(The value of x isn't asked in the question, but may find this helpful).
statistically significant correlations are unable to show ______.
Statistically significant correlations are unable to show causation.
Statistically significant correlations are unable to show causation. Correlation only indicates a relationship or association between two variables, but it does not prove that one variable causes the other. Other factors and variables may be involved, and further research is needed to establish causation.
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Statistically significant correlations are unable to show causation.
Statistically significant correlations indicate a strong relationship between two variables, but they do not provide evidence of a causal relationship between them. Correlation measures the extent to which changes in one variable are associated with changes in another variable. However, it does not determine the direction or the cause-effect relationship between the variables.
Other factors, known as confounding variables, may be responsible for the observed correlation. To establish causation, additional research methods, such as experimental designs or controlled studies, are required.
These methods involve manipulating variables and controlling for confounding factors to establish a cause-and-effect relationship between variables. Therefore, while statistically significant correlations can indicate an association, they cannot prove or demonstrate causality.
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Help plzzzzzzzzzzzzzz show work after you answer ill make a post for an extra 50
Step-by-step explanation:
59/8=7.375
So that's mean wxyz is bigger than the ABCD for 7.375
So YZ = 7.375×4 = 29.5
A manager at a pizza shop wants to start visually checking finished pizzas, but she doesn't have time to check every pizza. She decides to check a random pizza in the first 20 made each day, and then check every 20th pizza thereafter. What type of sample is this?
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a form of random sampling that involves sampling based on numbering the members of the population and selecting the sample at a given specified interval.
However, when the systematic sampling technique is used, it is necessary to ensure that the numbering of the population does not result in an ordering of the population such that the selected sample will consist more of a particular group of the population.
This type of sampling done by the manager at the pizza shop is called the Systematic sampling
Given that a manager at a pizza shop wants to start visually checking finished pizzas, but she doesn't have time to check every pizza.
As she decides to check a random pizza in the first 20 made each day, and then check every 20th pizza thereafter so it clear that she is checking the pizza after a regular interval.
Systematic sampling is the form of random sampling method in which the members of a large population set is selected randomly in the beginning of sampling but the sampling is done with fixed periodic interval.
The fixed periodic interval is called the sampling interval.
\(\rm Sampling \; Interval = \dfrac{Population\; size }{Sampling \; size }\)
The benefits of systematic sampling is that it is less prone to contamination of the data and the approach is based on clustered selection of sample.
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Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BCA must equal the measure of angle ABD.
Answer:
This is because angles inscribed in a semicircles are 90 degrees (BCA)
The tanget of that circle is also a 90 degree angle to the diameter (ABD)
Therefore they're both 90 degrees
The measure of angle BCA must equal the measure of angle ABD should be that angle should be inscribed in a semicircles that are 90 degrees,
What is the inscribed angle?In terms of geometry, an inscribed angle refer to the angle that should be created in the interior of a circle at the time when two chords should be intersect on the circle. It can also be refer to the angle subtended at a point on the circle via two given points on the circle.
Also, angle should be inscribed in a semicircles that are 90 degrees,
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Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
HOW CAN YOU USE SUBTRACTION TO DESCRIBE DIVISION? GIMME AN EXAMPLE PLS :(
Answer:
By repeated subtraction.
Step-by-step explanation:
It is pretty much the same thing as division, but in subtraction. Since, Dividing and Subtraction are a like, repeated subtraction is a great example to use for this example
Hope this helps. :)
Answer:
kk so like, division is just repeated subtraction. like idk say you have 36 and you divide it by 9 so I think you just keep subtracting 9 until you reach 0? so you end up subtracting 9 four times which happens to be the quotient for 36/9. yeah. it's almost like how multiplication is just repeated addition.
El valor de las razones trigonométricas no depende del tamaño del triángulo sino de la medida del ángulo ¿ es verdad o falso ? argumenten su respuestas
Answer: Falso. Las razones trigonométricas dependen tanto del tamaño del triángulo como de la medida del ángulo. Esto se debe a que las razones trigonométricas de un triángulo se calculan relacionando los lados del triángulo con el ángulo. Por lo tanto, si cambia el tamaño del triángulo, los lados cambiarán y, por consiguiente, las razones trigonométricas también cambiarán.
Step-by-step explanation:
Set up the proportion and find AB. Show all work and box your answer
Find the length of the marsh, AB
HELP PLZZZZ!!!
Answer:
x = 129
Step-by-step explanation:
86/48 = x/72
6192 = 48x
x = 129
Let
= 377 , = 148and = 11α
(i) Find the value of such that , , and are linearly dependent.
(ii)State the "Basis Theorem". Use a value that is different from the one found in (i) and apply the "Basis Theorem" to obtain a basis for the three-dimensional space ℝ3 using the vectors , , . Find the coordinates of 235 in terms of the basis. (Use Gaussian Elimination Method to find the coordinates.)
Summary:
(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent
(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:
c1v1 + c2v2 + c3v3 = 0,
where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:
c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.
Simplifying this equation, we get the following system of equations:
3c1 + c2 + αc3 = 0,
7c1 + 4c2 + c3 = 0,
7c1 + 4c2 + c3 = 0.
We can solve this system of equations to find the value of α that satisfies the condition.
(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.
To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.
By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.
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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.
(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.
(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.
By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].
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I want the answer please
The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ lim θ → 0 ( sin θ / θ ) = 1
Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.
⇒ lim θ → 0 ( sin θ / θ ) = 1
Take LHS;
⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )
⇒ lim θ → 0 ( cos θ / 1 )
⇒ ( cos 0 )
⇒ 1
⇒ RHS
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please helpppp! i’ll mark brainliest
Answer:
from what i see i see thats its D
if not im sorry but i hope i got it right
Step-by-step explanation:
52
Х
degrees
PLEASEHEHEH
Answer:
x = 142 degrees
Step-by-step explanation:
52 + 90 + x = 180
142 + x = 180
-142 -142
-------------------
x = 38
180 - 38 = 142
Hope this helped.
talofa tama ma teine. ua mai outou??
each side of a square is increasing at a rate of 6 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 16 cm2?
The area of the square increasing when the area of the square is 16 cm² by the rate of 48cm²/s.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Here,
A = s²
(dA)/(dt)
(dA/ds)*(ds/dt)
(ds)/(dt) = 6 cm/s
When A = 16 cm²
16 = s²
s = √(16)
s = 4 cm
(dA)/(dt) = 2 × 4 × 6 = 48 cm²/s
When the square is 16 cm², its area grows by 48cm²/s, or one-fourth of its initial size.
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QUICK!!!HELP!!!!!!!!!!!!!!!!!!
Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 500, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
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25) 3 NaHCO3
Na
H = C =_0 =
Factor the expression completely.
18x² - 8
OA. 2(9x² - 4)
OB. 2(3x-2)(3x - 2)
OC. 2(3x+4)(3x - 1)
D. 2(3x+2)(3x - 2)
Answer:
D
Step-by-step explanation:
Use the FOIL Method. First, Outer, Inner and Last. By distributing two you get 6x(3x+2)-4(3x+2). Distribute 6x and you get 18x^2+12x-4(3x+2). Distribute -4 and you get 18x^2+12x-12x-8. Combine like terms and you get 18x^2 - 8.
choose the best definition of hypothesis in the context of statistical analysis.
In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.
The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.
Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.
A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.
It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.
The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.
The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.
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Determine where are each piece below blogs to create a rational expression equivalent to the one shown above
We can write the above expression as
\(\frac{5x^2+25x+20}{7x}=\frac{5(x^2+5x+4)}{7x}=\frac{5(x+1)(x+4)}{7x}\)Now we know that
\(x^2+2x+1=(x+1)^2\)And
\(7x^2+x=7x(x+1)\)Also for the piece
\(5x^2+15x-20=5(x^2+3x-4)=5(x-1)(x+4)\)So we shall use
\(5x^2+15-20\text{ }\)And
\(x-1\text{ }\)To fill the blanks so that this expression will be similar to the above.
\(\frac{x^2+2x+1}{x-1}\times\frac{5x^2+15x-20}{7x^2+x}=\frac{(x+1)^2}{x-1}\times\frac{5(x-1)(x+4)_{}}{7x(x+1)}=\frac{x+1}{1}\times\frac{5(x+4)}{7x}=\frac{5(x+1)(x+4)}{7x}\)2.
Write an expression to represent the sum of x
and 2y. Evaluate your expression for x = 4 and
y=7
2 less than the quotient of 56 and 7
Answer:
54 and 5
Step-by-step explanation:
56-2 is 54
7-5 is 2
have a good day my little friend learning his 1st addition
Continue building a meal following the MyPlate guidelines by adding brown rice from the Grains category to the roasted chicken you have already selected. How many total grams of protein and fiber are in the meal
The recommended food plan - MyPlate guidelines were established to enable individuals to follow a balanced diet, ensuring they get all the nutrients their bodies require. The Grains category is one of the five food groups, which is part of the MyPlate guidelines. It is advised to consume approximately six ounces of grains each day. Brown rice, whole-wheat bread, oatmeal, pasta, and cereals are all healthy grains that provide the nutrients our bodies need. To the roasted chicken, adding brown rice from the Grains category and consuming a balanced diet can provide several nutrients.
The USDA recommends that adults consume about 46-56 grams of protein per day, but this can vary depending on age, sex, weight, and activity level. To calculate the amount of protein in the meal, we can use the following formula:
Amount of protein in brown rice: 1 cup of cooked brown rice contains 5 grams of protein.
Amount of protein in roasted chicken: 3 ounces of roasted chicken contains 27 grams of protein.To calculate the total amount of protein in the meal, add the protein amounts in both the chicken and brown rice:
5 grams of protein in brown rice + 27 grams of protein in roasted chicken = 32 grams of protein in the meal
Therefore, the meal contains 32 grams of protein.
The amount of fiber in brown rice and roasted chicken, respectively, is as follows:
Amount of fiber in 1 cup of cooked brown rice: 3.5 grams
Amount of fiber in 3 ounces of roasted chicken: 0 grams
To calculate the total amount of fiber in the meal, add the fiber amounts in both the chicken and brown rice:
3.5 grams of fiber in brown rice + 0 grams of fiber in roasted chicken = 3.5 grams of fiber in the meal
Therefore, the meal contains 3.5 grams of fiber in total.
The MyPlate guidelines advise individuals to consume a balanced diet that contains all the nutrients their bodies need. The Grains category is an essential component of a balanced diet that includes healthy grains such as brown rice, whole-wheat bread, oatmeal, pasta, and cereals. Brown rice is a great source of fiber, vitamins B and E, minerals like iron and zinc, and antioxidants that can help protect the body against various diseases.Adding brown rice from the Grains category to roasted chicken provides the meal with an excellent source of protein. Protein is essential for building and repairing tissues, making enzymes and hormones, and preserving lean muscle mass. A balanced diet should contain approximately six ounces of grains, and brown rice is a great way to achieve this recommendation.
Brown rice is also high in fiber, making it a filling food that can help reduce appetite and aid in weight loss. Additionally, fiber can help regulate bowel movements and prevent digestive disorders. Consuming fiber-rich foods such as brown rice can also help reduce the risk of heart disease, diabetes, and certain types of cancer.Thus adding brown rice from the Grains category to roasted chicken provides the meal with 32 grams of protein and 3.5 grams of fiber, making it a nutritious meal that can provide several health benefits. Consuming a balanced diet that contains all the nutrients our bodies need can help reduce the risk of various diseases and ensure optimal health.
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for each of the following vector fields, decide if the divergence is positive, negative, or zero at the indicated point. (a) (b) (c) xi yj yi -yj (a) divergence at the indicated point is ---select--- (b) divergence at the indicated point is ---select--- (c) divergence at the indicated point is ---select---
(a) Divergence at the indicated point is positive. (b) Divergence at the indicated point is zero. (c) Divergence at the indicated point is negative.
To find the divergence of each vector field at the indicated point, we will first calculate the divergence of each field and then evaluate it at the given point.
(a) The vector field is given as F = xi + yj.
The divergence of a 2D vector field F = P(x,y)i + Q(x,y)j is calculated as:
div(F) = (∂P/∂x) + (∂Q/∂y)
For this vector field, P(x,y) = x and Q(x,y) = y. So:
div(F) = (∂x/∂x) + (∂y/∂y) = 1 + 1 = 2
The divergence at the indicated point is positive.
(b) The vector field is given as F = yi.
For this vector field, P(x,y) = y and Q(x,y) = 0. So:
div(F) = (∂y/∂x) + (∂0/∂y) = 0 + 0 = 0
The divergence at the indicated point is zero.
(c) The vector field is given as F = yi - yj.
For this vector field, P(x,y) = y and Q(x,y) = -y. So:
div(F) = (∂y/∂x) + (∂(-y)/∂y) = 0 - 1 = -1
The divergence at the indicated point is negative.
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Solve for y
7y - 8 = 41
Find values for x and y.
Answer:
B
Step-by-step explanation:
X=90 because p and q perpendicular and 41+2y = 90 so 2y = 49 y=24.5
In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 530 hours. find the probability of a bulb lasting for between 547 and 580 hours. round your answer to four decimal places.
The probability of a bulb lasting between 547 and 580 hours is approximately 0.0392
To solve this problem, we first need to standardize the values using the formula
z = (x - μ) / σ
where
x is the value we want to find the probability for,
μ is the mean, and
σ is the standard deviation.
In this case, we want to find the probability that a bulb will last between 547 and 580 hours, so we need to find the z-scores for these values.
z1 = (547 - 530) / sqrt(625) = 1.72
z2 = (580 - 530) / sqrt(625) = 2.8
Next, we use a standard normal distribution table or calculator to find the probabilities for each z-score. For example, using a calculator, we can find that
P(z1 < Z < z2) = P(1.72 < Z < 2.8) ≈ 0.0392
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a sphere is filled with air. if the volume of the sphere is increasing at a rate of 569 cubic inches per minute, what is the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches? submit an exact answer. remember that the volume of a sphere is v
The rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83
What is the Volume of a Sphere?
The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a circular, three-dimensional form. Its form is determined by three axes: the x, y, and z axes. Sports like basketball and football are all instances of spheres with volume.
Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We may use the following formula to get the volume of a sphere whose radius is "r":
Here, In the question, It is given that:
Radius = 4inch.
Rate of increase = 569 cubic inches;
So, using the Volume of Sphere, formula:
\(\begin{aligned}v=\frac{4}{3} \pi r^3 \\\frac{d v}{d t} &=\frac{d}{d t}\left[\frac{4}{3} \pi r^3\right] \\&=\frac{4 \pi}{3}\left(3 r^2\right) \frac{d r}{d t} \\\frac{d v}{d t} &=4 \pi r^2 \frac{d r}{d t}\end{aligned}\)
\(\begin{aligned}&\frac{d r}{d t}=\frac{\frac{d v}{d t}}{4 \pi r^2}\\&\left.\frac{d r}{d t}=\frac{569}{(4 \pi)(4)^2}=\frac{d}{d t}_{r=4}^{d r^2}=569\right]\\&\frac{d v}{d t}=\frac{569}{64 \pi} \sim 2.83\end{aligned}\)
Hence, the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83
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