Answer:
1 , 3 , 13 , and 39
Step-by-step explanation:
1 x 39 =39
3 x 13 = 39
13 x 3 = 39
39 x 1 =39
Answer:
Step-by-step explanation:
The product 3*13 equals 39. This is in addition to the identity 1*39 = 39.
What is 15% of 200? *
30
50
15
20
Answer: 30
Step-by-step explanation:
in changing the numerical part of a measurement to scientific notation, the number of places you move the decimal point to the right is expressed as
Answer:
Is the main
changing the numerical part of a measurement to scientific notation, the number of places you move the decimam point to the right is expressed .
i hope its helpful.
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blackpink....ooop9
How do you graph a quadratic form?
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
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Please help with questions 7-10! I have to turn it in soon and I’m so lost!
Answer:
7)c
8)d
9)b
10)a
Step-by-step explanation:
In the figure, lines a and b are parallel.
Which statements are true?
Select each correct answer.
m∠2=m∠1
m∠1=75°
m∠3=m∠1
m∠2=105°
Answer:
m∠2 = m∠1m∠1 = 75°Step-by-step explanation:
Look at the picture.
Vertical angles, corresponding angles, alternate exterior angles are congruent.
Supplementary angles add up to 180°.
Helpppppp meeee thanks
Answer:
3.5
Step-by-step explanation:
what is the fourth quintile based on sample observations of 24, 18, –31, 13, 9?
The fourth quintile based on the given sample observations is approximately 15.5.
To find the fourth quintile, we first need to arrange the sample observations in ascending order:
-31, 9, 13, 18, 24
The fourth quintile represents the value below which 80% of the data falls. Since we have 5 data points, the fourth quintile is located at the 80th percentile, which can be calculated as:
80th percentile = (80/100) * (n + 1) = (80/100) * (5 + 1) = 4.8
Since the 80th percentile falls between the fourth and fifth observations, we can estimate the fourth quintile by taking the average of these two values:
Fourth quintile ≈ (13 + 18) / 2 = 15.5
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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Solve the differential equation (Show your work). \[ 7 x^{6} \cos y d x-d y=0 \]
The solution to the given differential equation is: x⁷ cos y = y + C
where C is the constant of integration
To solve the given differential equation:
\(\[7x^6\cos y dx - dy = 0\]\)
We can separate the variables and integrate both sides.
Separating variables, we can write the equation as:
\(\[7x^6\cos y dx = dy\]\)
Now, we can integrate both sides with respect to their respective variables:
\(\[\int 7x^6\cos y dx = \int dy\]\)
Integrating the left side:
\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)
To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.
Let's take u = x⁶ and \(\(dv = \cos y dx\)\).
Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)
Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)
Applying the integration by parts formula:
\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)
Substituting the values:
\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)
Simplifying:
\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)
Moving the integral term to the left side:
\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)
Dividing both sides by 7:
\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)
Now, substituting this result back into our original equation:
\(\[7 \int x^6 \cos y dx = dy\]\)
\(\[\frac{7x^7 \cos y}{7} = dy\)
Simplifying:
x⁷ cos y = dy
Finally, the solution to the given differential equation is:
x⁷ cos y = y + C
where C is the constant of integration.
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What is the value of x in the inequality 7x-26>=3(3x-2)
Answer:
work is shown and pictured
Determine the value of x in each figure.
Answer:
x=15is your answer
Step-by-step explanation:
8x=120 vertically opposite angle
x=120/8=15
8x = 120
x = 120/8 = 15.
so ans ia 15
Based on some screening tests a medical researcher that 37% of her adult subjects have high levels of blood glucose , a warning sign for diabetes . She says has a margin of error of +_4% . What can you conclude about all adults?
Based on the information provided, we can conclude that there is a high likelihood that a significant proportion of all adults have high levels of blood glucose.
Specifically, the medical researcher found that 37% of her adult subjects had high levels of blood glucose, which is a warning sign for diabetes. Additionally, the margin of error of +_4% suggests that the true percentage of adults with high blood glucose could be anywhere between 33% and 41%. Therefore, it is reasonable to assume that a large proportion of all adults may have high levels of blood glucose, which could increase their risk of developing diabetes. It is important for individuals to regularly monitor their blood glucose levels and consult with their healthcare provider if they have concerns.
Based on the medical researcher's findings, we can conclude that approximately 37% of her adult subjects have high blood glucose levels, which is a warning sign for diabetes. Considering the margin of error of ±4%, the true percentage of all adults with high blood glucose levels could range from 33% to 41%. This suggests that a significant proportion of adults might be at risk for diabetes, emphasizing the importance of regular screening and preventative measures to maintain healthy blood glucose levels.
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find the center and radius of the circle given by this equation: x squared space minus space 10 x space plus space y squared space plus space 6 y space minus space 30 space equals space 0 what is the center?
The center and radius of a circle given by the equation x² - 10x + y² + 6y - 30 = 0 is (5,-3) and√64 = 8 units.
When finding the center and radius of a circle given by the equation x² - 10x + y² + 6y - 30 = 0, one can use the following steps:
The first step is to rearrange the equation into the standard form, (x - a)² + (y - b)² = r². This is done by completing the square for both the x and y terms in the equation.
x² - 10x + y² + 6y - 30 = 0x² - 10x + 25 + y² + 6y + 9 - 30 = 25 + 9(x - 5)² + (y + 3)² = 64 Therefore, the center of the circle is (5,-3), and the radius is √64 = 8 units.
Explanation: Given the equation x² - 10x + y² + 6y - 30 = 0, we want to find the center and radius of the circle. The standard form of the equation of a circle with center (a,b) and radius r is (x - a)² + (y - b)² = r². We will begin by completing the square for the x terms and the y terms separately: For the x terms: x² - 10x= x² - 10x + 25 - 25= (x - 5)² - 25 For the y terms: y² + 6y= y² + 6y + 9 - 9= (y + 3)² - 9 Now we can substitute these expressions back into the original equation and simplify: x² - 10x + y² + 6y - 30 = 0(x - 5)² - 25 + (y + 3)² - 9 - 30 = 0(x - 5)² + (y + 3)² = 64 The equation is now in standard form,
which means that the center of the circle is (5,-3) and the radius is √64 = 8 units.
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Select the correct answer from each drop-down menu.
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are _______.
If point D divides in the ratio 4 : 5, the coordinates of point D are _______.
1st Blank
(5,-4)
(5,-2)
(10,-4)
(10,-2)
2nd Blank
(62/9,-4)
(58/9,-4)
(62/9,-2)
(58/9,-2)
Answer:
first blank would be 5,-2 and the second blank would be 58/9,-4
what is the purpose of a variable? a. to assign values b. to perform calculations c. to hold a value d. to hold a constant value
The purpose of a variable is to hold and represent a value Option C.
The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.
Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.
Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.
Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.
While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.
Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.
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problem four (10 points) according to a recent study conducted by businessmen, 16% of all shareholders have some college education. suppose that 47% of all adults have some college education and that 52% of all adults are shareholders. for a randomly selected adult: 1. what is the probability that the person did not own shares of stock?
The probability that a randomly selected adult does not own shares of stock is 66.84%.
To calculate the probability that a randomly selected adult does not own shares of stock, we need to subtract the probability that the person is a shareholder from the probability that the person has some college education. We can use the formula:
P(A') = 1 - P(A)
where P(A) is the probability that the person is a shareholder, and P(A') is the probability that the person is not a shareholder.
P(A) = 52%
P(A') = 100% - P(A') = 100% - 52% = 48%
Next, we need to calculate the probability that the person has some college education.
We can use the formula:
P(B) = 47%
Now we can use the formula for conditional probability to calculate the probability that the person has some college education given that they are not a shareholder:
P(B|A') = P(A' and B) / P(A')
To calculate P(A' and B), we can use the formula:
P(A' and B) = P(B) - P(A and B)
P(A and B) = P(A) x P(B|A) = 52% x P(B|A)
To calculate P(B|A), we can use Bayes' theorem:
P(B|A) = P(A|B) x P(B) / P(A)P(A|B) = P(A and B) / P(B) = (52% x P(B|A)) / P(B)
Now we can substitute this expression into the formula for P(A' and B):
P(A' and B) = P(B) - P(A) x P(A|B) x P(B) / P(A) = 47% - (52% x P(B|A)) x 47% / P(B)
Now we can substitute these expressions into the formula for P(B|A') and simplify:
P(B|A') = (47% - (52% x P(B|A)) x 47% / P(B)) / 48%
We are given that 16% of all shareholders have some college education, so we can substitute this value for P(B|A):
P(B|A') = (47% - (52% x 16%)) x 47% / P(B) / 48% = 33.16%
Finally, we can substitute this value into the formula for P(A'):
P(A') = 100% - P(A') = 100% - 33.16% = 66.84%
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Anyone know the answer if u do then plz help!
Answer:
615.44 in.^2
if you are satisfied with my answer, please mark brainliest :D
Step-by-step explanation:
Diameter=28
Radius=14
Pi times radius squared
14 times 14 times 3.14 equals 615.44
for every integer m, 7m 4 is not divisible by 7. construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order.
Answer: CAELYNN YOU WWELCOME
Step-by-step explanation:
7 +7+7+7+7+7
Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?A. 2w^2 + 5w, where w is the widthB. 2w^2 + 5, where w is the widthC. 2w^2, where w is the widthD. 10w^2 + 5 w, where w is the width
The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.
What is the area of rectangular shape?
In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.
Given that the length of a cabin is equal to 5 feet more than twice the width.
Assume that the width of the cabin be w.
Then the mathematical expression of twice the width is 2w.
Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.
The area of rectangular shape is product of length and width.
The area of the cabin is (2w + 5)w
Apply distributive property:
= 2w × w + 5 × w
= 2w² + 5w
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Find the second Taylor polynomial P2(x) for the function f (x) = ex cos x about x0 = 0.
a. Use P2(0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) − P2(0.5)| using the error formula, and compare it to the actual error.
b. Find a bound for the error |f (x) − P2(x)| in using P2(x) to approximate f (x) on the interval [0, 1].
c. Approximate d. Find an upper bound for the error in (c) using and compare the bound to the actual error.
a) An upper bound for error |f (0.5) − P2(0.5)| using the error formula is 0.0208
b) On the interval [0, 1], we have |R2(x)| <= (e/6) √10 x³
c) The maximum value of |f(x) - P2(x)| on the interval [0, 1] occurs at x = π/2, and is approximately 0.1586.
a. As per the given polynomial, to approximate f(0.5) using P2(x), we simply plug in x = 0.5 into P2(x):
P2(0.5) = 1 + 0.5 - (1/2)(0.5)^2 = 1.375
To find an upper bound for the error |f(0.5) - P2(0.5)|, we can use the error formula:
|f(0.5) - P2(0.5)| <= M|x-0|³ / 3!
where M is an upper bound for the third derivative of f(x) on the interval [0, 0.5].
Taking the third derivative of f(x), we get:
f'''(x) = ex (-3cos x + sin x)
To find an upper bound for f'''(x) on [0, 0.5], we can take its absolute value and plug in x = 0.5:
|f'''(0.5)| = e⁰°⁵(3/4) < 4
Therefore, we have:
|f(0.5) - P2(0.5)| <= (4/6)(0.5)³ = 0.0208
b. For n = 2, we have:
R2(x) = (1/3!)[f'''(c)]x³
To find an upper bound for |R2(x)| on the interval [0, 1], we need to find an upper bound for |f'''(c)|.
Taking the absolute value of the third derivative of f(x), we get:
|f'''(x)| = eˣ |3cos x - sin x|
Since the maximum value of |3cos x - sin x| is √10, which occurs at x = π/4, we have:
|f'''(x)| <= eˣ √10
Therefore, on the interval [0, 1], we have:
|R2(x)| <= (e/6) √10 x³
c. To approximate the maximum value of |f(x) - P2(x)| on the interval [0, 1], we need to find the maximum value of the function R2(x) on this interval.
To do this, we can take the derivative of R2(x) and set it equal to zero:
R2'(x) = 2eˣ (cos x - 2sin x) x² = 0
Solving for x, we get x = 0, π/6, or π/2.
We can now evaluate R2(x) at these critical points and at the endpoints of the interval:
R2(0) = 0
R2(π/6) = (e/6) √10 (π/6)³ ≈ 0.0107
R2(π/2) = (e/48) √10 π³ ≈ 0.1586
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1) Jill sold half of her comic books and then
bought sixteen more. She now has 36. With
how many did she begin?
2) For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1.
2.
Answer:
1. 40
2. 52
Step-by-step explanation: 1. Subtract 16 from 36 then multiply by 2
2. Subtract 4 from 472 then divide by nine
"Given m = -2/5 and b = -7, write the equation of the line containing these points"
can someone help?
Answer: y = (-2/5)x - 7
This is the same as writing \(y = -\frac{2}{5}x-7\)
======================================================
Explanation:
Any linear equation is of the form y = mx+b, known as slope-intercept form
m = slope
b = y intercept
We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7
Consider the cylinder, given in the figure {r=1.5, h=3}. The potential V within the cylinder is given in cylindrical coordinates as: V = 5r + 4 cos Ø Calculate the total charge within the cylinder.
To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.
The total charge can be obtained by integrating the charge density over the volume of the cylinder.
The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.
The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²
Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز
Applying this operator to the potential function V, we find:
∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز
To find the charge density, we substitute this expression into ρ = -∇²V:
ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز
To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:
Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV
The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.
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What is the determinant of [3/10 1/5 1/8 1/3] ? Enter your answer as a fraction.
To find the determinant of the given matrix, we use the formula for a 2x2 matrix, Therefore, the determinant of the given matrix is 3/40.
Determinant = (a * d) - (b * c)
Here, a = 3/10, b = 1/5, c = 1/8, and d = 1/3
Determinant = (3/10 * 1/3) - (1/5 * 1/8)
Determinant = 1/10 - 1/40
Determinant = 4/40 - 1/40
Determinant = 3/40
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Best answer will get Five stars and a crown
Answer:
\(x ∈ R,a=1\)
Step-by-step explanation:
i believe this is the answer but i am not 100% sure
Answer: It does not
Step-by-step explanation:
Mrs Patterson loves to knit, She knows that 6 balls of wool will make knitted caps. How many balls of wool will she need to make 20 caps?
the real answer is 15 i believe, sorry for the inconvenience
sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?
Answer:
34
Step-by-step explanation:
We can solve this equation by giving Sara's number a variable.
Let it be x.
Then we solve by simply interpreting the problem step by step.
"If you subtract 14 from my number..."
x - 14
"...and multiply the different by -4..."
-4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation, we can solve for x.
1.) Use distributive property to expand.
-4x + 56 = -80
2.) Subtract 56 from both sides
-4x = -136
3.) Divide by -4
x = 34
Sara's number is 34
Using distributive property to expand, it is found that Sara's number is; 34
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We need to solve this equation by giving Sara's number a variable.
Let the Sara's number a variable be x.
Then we solve by simply interpreting "If you subtract 14 from my number..." means
x - 14
Then "...and multiply the different by -4..." means -4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation,
1.) Use distributive property to expand;
-4x + 56 = -80
Subtract 56 from both sides;
-4x = -136
Now Divide by -4
x = 34
Hence, Sara's number is; 34
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what is the name for a solution that is obtained by working backwards, from right to left, through a decision tree?
The name of the solution that is obtained by working backwards , from right to left through a decision tree is (c) rollback technique
The Rollback Technique in finding a solution refers to a method where, instead of proceeding forward step by step, one works backwards from the final solution to the starting point.
This roll back approach is often used when solving problems or making decisions where the desired outcome is known, but the steps needed to reach that outcome are not.
So , by working backwards, one can identify the necessary steps and make the necessary decisions to achieve the desired outcome.
The given question is incomplete , the complete question is
What is the name for a solution that is obtained by working backwards, from right to left, through a decision tree?
(a) progressive method
(b) backwards-thinking
(c) rollback technique
(d) regressive method
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what is the simplest form of 3x^3 + x^2 + 2 ( x^3 - 4x^2 )
Answer:
−8x^4 + 5x^3 + x^2
Step-by-step explanation:
3x^3 + x^2 + 2 (x^3 − 4x^4)
Apply the distributive property.
3x^3 + x^2 + 2x^3 + 2 (−4x^4)
Multiply −4 by 2.
3x^3 + x^2 + 2x^3 − 8x^4
Simplify by adding terms.
Add 3x^3 and 2x^3.
5x^3 + x^2 − 8x^4
Simplify the expression.
Move x2.
5x^3 − 8x^4 + x^2
Reorder 5x^3 and −8x^4.
−8x^4 + 5x^3 + x^2