Answer:
Hi, please brainliest?
Step-by-step explanation:
Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2
Answer:
587.18 in²
Step-by-step explanation:
In the above question, we are given the following values
Diameter = 11 inches
Radius = Diameter/2 = 11 inches/2 = 5.5 inches
Slant height = 28.5 inches.
We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.
To solve for this, we would use formula for Total Surface Area of a Cone
Total Surface Area of a Cone = πrl + πr²
= πr(r + l)
Using 3.14 for π
Total Surface Area of a Cone
= 3.14 × 5.5( 5.5 + 28.5)
= 3.14 × 5.5 × (34)
= 587.18 in²
Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.
Answer:
B
Step-by-step explanation: Just trust me bro
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
Given that a = 15 cm and b = 23 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.
The area of the given triangle is 130.7 cm^2.
What are Triangles?
Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.
A triangle is categorized into three categories based on its sides, namely:
Scalene Triangle - Each side has a distinct length.
Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.
Equilateral Triangle - A triangle has three sides that are of the same length.
A triangle is categorized into three categories based on its angles, namely:
Acute Angle Triangle - A triangle with all of its angles smaller than 90°.
Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.
Triangle with a Right Angle - A triangle with one of its angles equal to 90°.
Now,
Area of a right angle triangle =1/2*base*height
here a=base and let h=height
h^2=b^2-a^2
=23^2-15^2
h^2=304
h=17.43cm
therefore
area=1/2*15*17.43
Area of the triangle=130.7cm^2
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Consider the graph given below. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
How to determine the sequence of transformation?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(3, 0) and (0, 6)
Calculate the equation of the line using
\(g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2\)
This gives
\(g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6\)
Evaluate the quotient
g(x) = -2 * (x) + 6
Expand
g(x) = -2x + 6
This means that the equation of the line is:
g(x) = -2x + 6
So, we have:
f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.
The transformations from f(x) to g(x) are as follows:
Reflect over the y-axis i.e. f'(x) = -f(x) = -xStretch vertically by a factor of 2 i.e. f"(x) = 2f'(x) = -2xShift up by 6 units i.e. g(x) = f"(x) + 6 = -2x + 6Hence, the sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
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Use composite Simpson’s rule to integrate function below from a = 0 to b = 0.8. Using five segments/subinterval (n = 5).
f(x) = 0.2 + 25x - 200x²+675x³ - 900x²+400x³
To integrate the function f(x) = 0.2 + 25x - 200x² + 675x³ - 900x⁴ + 400x⁵ from x = 0 to x = 0.8 using composite Simpson's rule, we divide the interval [0, 0.8] into five subintervals and apply Simpson's rule to each subinterval.
The rule approximates the integral by taking into account the values of the function at the endpoints and the midpoint of each subinterval. Composite Simpson's rule is a numerical integration method that approximates the definite integral of a function by dividing the interval into multiple subintervals and applying Simpson's rule to each subinterval. In this case, we are given the function f(x) = 0.2 + 25x - 200x² + 675x³ - 900x⁴ + 400x⁵ to integrate from x = 0 to x = 0.8.
To apply composite Simpson's rule, we divide the interval [0, 0.8] into five subintervals of equal width. Each subinterval will have a width of h = (b - a) / n, where n is the number of subintervals. In this case, n = 5, so h = (0.8 - 0) / 5 = 0.16.Next, we evaluate the function f(x) at the endpoints and the midpoint of each subinterval. For each subinterval, we use Simpson's rule to calculate the approximate integral within that subinterval. Simpson's rule involves taking a weighted average of the function values at the endpoints and the midpoint.
Finally, we sum up the approximate integrals for each subinterval to obtain the overall approximation for the definite integral of f(x) from x = 0 to x = 0.8.The explanation provides an overview of the steps involved in using composite Simpson's rule to integrate the given function. It explains the concept of dividing the interval into subintervals, evaluating the function at the endpoints and midpoint, and applying Simpson's rule to each subinterval. It also emphasizes the need to sum up the approximate integrals to obtain the final result.
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Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15
Answer:
If
y
varies inversely as
x
then
XXX
x
⋅
y
=
c
for some constant
c
We are told when
x
=
2
then
y
=
15
So
XXX
2
⋅
15
=
c
XXX
⇒
c
=
30
and
XXX
x
⋅
y
=
30
Therefore when
y
=
3
XXX
x
⋅
3
=
30
XXX
→
x
=
10
Step-by-step explanation:
(7^-2)^5 = PLZ ILL GIVE GIVE BRAINLIEST TO THE CORRECT ANSWER
7-10
7-3
77
710
Answer:
(7^-2.5)
=7^-10
=1/7^10
Answer:
1/282475249
Step-by-step explanation:
(7^-2)^5
Use Negative Power Rule: x^-a = 1/x^a
(1/7^2)^5
(1/49)^5
Use Division Distributive Property: (x/y)^a =x^a/y^a
1/(49^2)
1/282475249
Please mark me the brainliest!?!
Construct phrase-structure grammars to generate each of these sets. a) {1ⁿ | n ≥ 0} b) {10ⁿ | n ≥ 0} c) {(11)ⁿ | n ≥ 0}
(a) This grammar starts with the start symbol S and generates a string of 1s by recursively applying the production rule S -> 1S. The production rule S -> ε is used to generate the empty string, which belongs to the language.
a) {1ⁿ | n ≥ 0}
The grammar to generate this set can be constructed as follows:
S -> 1S | ε
b) {10ⁿ | n ≥ 0}
The grammar to generate this set can be constructed as follows:
S -> 1A
A -> 0A | ε
This grammar starts with the start symbol S and generates a string of 1s followed by a string of 0s by applying the production rules S -> 1A and A -> 0A | ε. The production rule A -> ε is used to generate the empty string, which belongs to the language.
c) {(11)ⁿ | n ≥ 0}
The grammar to generate this set can be constructed as follows:
S -> 11S | ε
This grammar starts with the start symbol S and generates a string of 11s by recursively applying the production rule S -> 11S. The production rule S -> ε is used to generate the empty string, which belongs to the language.
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a number , x, decreased by the sum of 4x and 6
Answer:
-3x - 6
Step-by-step explanation:
x - (4x + 6) becomes x - 4x - 6 after we've distributed the multiplication.
We can simplify this result as follows: -3x - 6
solve the equation 15 < b - 4
Answer:
b>19
Step-by-step explanation:
15<b−4
Rewrite so b is on the left side of the inequality.
b−4>15
Move all terms not containing b to the right side of the inequality.
Add 4 to both sides of the inequality.
b>15+4
Add 15 and 4.
b>19
b>19
The result can be shown in multiple forms.
Inequality Form:
b>19
Interval Notation:
(19,∞)
A pilot flew 72 hours in one month.At this rate,how many months will it take her to fly for 360 hours?
The pressure and volume of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiabatic expansion, with or without loss).
Find dP/dt if b=1.5, P=7 kPa, V=110 cm^3, and dV/dt=40 cm^3/min.
(Use symbolic notation and fractions where needed.)
The dP/dt of the adiabatic expansion is -42/11 kPa/min
How to calculate dP/dt in an adiabatic expansion?An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression
Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min
PVᵇ = C
Taking logs of both sides gives:
ln P + b ln V = ln C
Taking partial derivatives gives:
\(\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0\)
Substitutituting the values b, P, V and dV/dt into the derivative above:
1/7 x dP/dt + 1.5/110 x 40 = 0
1/7 x dP/dt + 6/11 = 0
1/7 x dP/dt = - 6/11
dP/dt = - 6/11 x 7
dP/dt = -42/11 kPa/min
Therefore, the value of dP/dt is -42/11 kPa/min
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we are interested in testing to see if the variance of a population is less than 5. the correct null hypothesis is σ< 5. σ< 25. σ^2 ≥ 5. σ^2 ≥ 25.
The variance of a population is less than 5. Null hypothesis reflects the initial presumption or claim that something is true in this case and true option is : σ^2 ≥ 5.
In hypothesis testing, the null hypothesis (H0) represents the assumption or claim that is initially presumed to be true. In this scenario, we are interested in testing whether the variance of the population is less than 5.
The notation σ^2 represents the population variance, and the symbol ≥ denotes "greater than or equal to." Therefore, the correct null hypothesis is that the population variance is greater than or equal to 5 (σ^2 ≥ 5).
The other options listed are not correct for this scenario:
- σ < 5: This alternative hypothesis suggests that the population variance is strictly less than 5, which is not the hypothesis we want to test.
- σ < 25: This alternative hypothesis suggests a different value for the population variance, which is not what we are interested in.
- σ^2 ≥ 25: This alternative hypothesis sets a higher threshold for the population variance, which is not the hypothesis we want to test.
Therefore, the correct null hypothesis is σ^2 ≥ 5, indicating that the population variance is greater than or equal to 5.
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in addition to x=8, im supposed to get x=-2. how do I get this answer?
Answer:
theres a calculator that will go step bey step to solve these kind of problems
Step-by-step explanation:
find the formula for the MacLaurin series for the function, ( look at the image).
To find the formula for the MacLaurin series for the given function, we need to use the formula for the nth derivative of the function and substitute it into the formula for the MacLaurin series. The formula for the nth derivative of the given function is: f^(n)(x) = (-1)^n * (2n)! / ((1 + x^2)^(n+1))
Substituting this formula into the formula for the MacLaurin series, we get:
f(x) = ∑ (n=0 to ∞) [ f^(n)(0) * x^n / n! ]
Simplifying this equation by substituting the formula for the nth derivative, we get:
f(x) = ∑ (n=0 to ∞) [ (-1)^n * (2n)! / ((1 + 0^2)^(n+1) * n!) * x^n ]
Simplifying further, we get:
f(x) = ∑ (n=0 to ∞) [ (-1)^n * (2n)! / (n! * 2^(2n+1)) * x^(2n+1) ]
Therefore, the formula for the MacLaurin series for the given function is:
f(x) = ∑ (n=0 to ∞) [ (-1)^n * (2n)! / (n! * 2^(2n+1)) * x^(2n+1) ]
Hi! To find the Maclaurin series for a function, we need to determine its Taylor series centered at x=0. The general formula for a Taylor series is:
f(x) = Σ [f^n(0) / n!] * x^n (where n starts at 0 and goes to infinity)
Since there is no image provided, I'll give you an example. Let's find the Maclaurin series for the function f(x) = e^x. First, we need to calculate the nth derivative:
f(x) = e^x
f'(x) = e^x
f''(x) = e^x
... (all higher-order derivatives are also e^x)
Now we can plug these derivatives into the Taylor series formula:
f(x) = Σ [e^(0) / n!] * x^n = Σ [1 / n!] * x^n
This is the Maclaurin series for the function f(x) = e^x. Follow the same process to find the Maclaurin series for the function in your image.
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find the unknown sizes.
Answer:
53
Step-by-step explanation:
you save $150 per month for 2 years. what is the total amount you have saved?
The answer is 300 because 2 times 15 is 30 than you just add the zero
Answer:
$300
Step-by-step explanation:
i think you multiply 150 by 2 to get 300
A bank account starts with $3.00. The amount in the account doubles every year .
Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P\((2^t)\)
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 (\(2^7\))
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 \((2^t)\)
Dividing both sides of the equation by 3, we get:
512.0023333333 = \(2^t\)
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
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2 plus 4 multiplied by negative 6 minus 3 multiplied by 5
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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An element with mass 630 grams decays by 18.8% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
-199.1
Step-by-step explanation:
18.8% × 7= 131.6%
630×131.6=82908 move the decimal two places to the left you get 829.08
630-829.08= -199.08 round to the nearest tenth you get -199.1
What is the discriminant of the quadratic equation 7x² + 6x + 3 = 0?
Answer:-48
(6)2-4×7×3
36-89
-48
What is the slope of the line represented by the equation y = -1/2x + 1/4?
4. Sketch a graph given the following key features.
domain: (-3, 4]
increasing: (-3,-1)
range: (-3, 3]
decreasing: (-1, 4)
x-intercepts: (-2, 0), (2, 0)
y-intercept: (0, 2)
positive: (-2, 2)
negative: (-3, -2), (2, 4]
Re-write the quadratic function below in Standard Form
y=−2(x−8)(x−2)
y = -2(x - 8)(x - 2)
y = -2(x² -2x -8x +16)
y = -2(x² - 10x + 16)
y = -2x² + 20x - 32
Answer:
y= −2x^2+20x−32
Step-by-step explanation:
y = −2(x−8)(x−2)
= - 2(x^2 - 10x +16)
= - 2x^2 - (-10x)-2. 16
= - 2x^2 +20x - 32
Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.
Weighing the available information and assigning a probability.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.
So, as per the definition of subjective probability
Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus
Weighing the available information and assigning a probability.
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BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
The local pizza shop sells several special items.
Price
Item
Sales tax is 5 percent. Find the amount of tax for each
item in the table. Round to the nearest hundredth.
Tax for Italian Salad:
Italian Salad
$3.99
Tax for Lasagna:
Tax for Spaghetti:
Tax for Fettuccini Alfredo:
Lasagna
$8.50
Spaghetti
$4.29
Fettuccini Alfredo
$7.17
Done
1 of 9
கக்காக
02 feathcom/Playe
Answer:
Tax for Italian Salad=$0.20
Tax for Lasagna= $0.43
Tax for Spaghetti =$0.21
Tax for Fettuccini Alfredo =$0.36
Step-by-step explanation:
Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):
Italian Salad =$3.99
Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20Lasagna =$8.50
Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43Spaghetti =$4.29
Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21Fettuccini Alfredo =$7.17
Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36Feel free to ask for more if needed or if you did not understand something.
Answer: .20
.33
.21
.36
Step-by-step explanation: 2020 edg
Evaluate the difference quotient and simplify the result. F(x) = 1 / f(x) – f(5) X - 5 Need Help? Read It Master It Talk to a Tutor Submit Answer
The given function's difference quotient is -1 / (x^2 + xh), which measures the average rate of change of the function over a specific interval.
The difference quotient is a formula that measures the average rate of change of a function over a specific interval. It is commonly used in calculus to find the slope of a tangent line to a curve at a specific point. The formula for the difference quotient is:
Difference quotient = (f(x + h) - f(x)) / h
In this case, the function f(x) is given as 1 / f(x) - f(5). To evaluate the difference quotient, we need to substitute the values of x and h into the formula and simplify the result. Here are the steps:
1. Substitute the values of x and h into the formula:
Difference quotient = (1 / (x + h) - f(5) - (1 / x - f(5))) / h
2. Simplify the numerator:
Difference quotient = (1 / (x + h) - 1 / x) / h
3. Find a common denominator for the fractions in the numerator:
Difference quotient = ((x - (x + h)) / (x * (x + h))) / h
4. Simplify the numerator:
Difference quotient = (-h / (x * (x + h))) / h
5. Simplify the denominator:
Difference quotient = -h / (h * x * (x + h))
6. Cancel out the h terms:
Difference quotient = -1 / (x * (x + h))
7. Simplify the denominator:
Difference quotient = -1 / (x^2 + xh)
This is the simplified result of the difference quotient for the given function.
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The points scored per game by a professional basketball player are represented by the box plot below. A number line plots points per game by the basketball player. The plots are 16 through 21 and 21 through 24. If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected? A. The median points per game increases. B. The effect on the median points per game cannot be determined. C. The median points per game decreases. D. The median points per game is not affected.
The median of the data set would be affected as the median points per game decreases. That is option C.
What is a median of a data set?The median of a data set is defined as the value of a data set the is found in the middle of a data after it has been arranged in an ascending order.
The first number line plots points per game;
= 16, 17 ,18 ,19 ,20 ,21 = 18+19 = 37/2 = 18.5
The second number line plots points per game;
= 21, 22, 23, 24 = 22 + 23 = 45/2 = 22.5
The third number line plots points per game:
= 9 points through 35 points
= 22 as the median.
Therefore, the scores of the next two games led to a decrease in the median determined per game point.
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