Answer:
1. 4 sides
2. Congruent
3. 90°
4. 2 opposite sides
5. 2 sets
6. 2 opposite sides
Evaluate when a=3, b=-1, c=5, and d=-2.
c-7=
Answer:
=d
Step-by-step explanation:
c=5 , 5-7= -2.............
brainliest pls
Find all zeros and write the polynomial as a product of linear factors
P(x) = x^3 -5x^2 + 2x +12
Show work please
Can you help me calculate the angles from this kite in the attachment?
AY =, XZ =,
Answer:
AY=8, XZ=20
Step-by-step explanation:
WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm
ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ = XA+ZA = 2ZA =2*10 = 20 cm
solve for x and y be sure to show your work
Answer:
x = 3√7.
y = 12.
Step-by-step explanation:
The 2 triangles are similar so:
x/9 = 7/x
x^2 = 63
x = √63
= 3√7.
By Pythagoras' theorem
y^2 = 9^2 + (3√7)^2
= 81 + 63
= 144
y = 12.
suppose that a flaw in a certain computer chip installed in computers was discovered that could result in a wrong answer when performing a division. the manufacturer initially claimed that the chance of any particular division being incorrect was only 1 in 6 billion, so that it would take thousands of years before a typical user encountered a mistake. however, statisticians are not typical users; some modern statistical techniques are so computationally intensive than a billion divisions over a short time period is not outside the realm of possibility. assuming that the 1 in 6 billion figure is correct and that results of different divisions are independent of one another, what is the probability that at least one error occurs in one billion divisions with this chip?
The probability of at least one error occurring in one billion divisions with this chip is approximately 0.1721, or 17.21%.
The probability of at least one error occurring in one billion divisions with this chip can be calculated using the binomial distribution. Let p be the probability of an error occurring in one division, which is 1/6 billion, and q be the probability of no error occurring in one division, which is 1 - p. Then, the probability of at least one error occurring in one billion divisions can be calculated as 1 - (q)^1,000,000,000, where the exponent is the number of trials.
Plugging in the values, we get:
p = 1/6 billion
q = 1 - p = 4,999,999,999/6 billion
n = 1 billion
P(at least one error) = 1 - (4,999,999,999/6 billion)^1,000,000,000 = 0.1721
Therefore, the probability of at least one error occurring in one billion divisions with this chip is approximately 0.1721, or 17.21%.
The binomial distribution is used to model the number of successes in a fixed number of independent trials with a constant probability of success. In this case, the number of successes is the number of errors, and the probability of success is the probability of an error occurring in one division. We calculate the probability of at least one error occurring by subtracting the probability of no errors from 1. We use the exponentiation rule of exponents to calculate the probability of no errors occurring in one billion divisions, which is the probability of no errors occurring in one division raised to the power of the number of divisions. Finally, we use the formula to get the probability of at least one error occurring in one billion divisions with this chip.
Learn more about probability here :-
https://brainly.com/question/30034780
#SPJ4
The following data follows the functional form y-ax sin(2Tx) X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44 (a) Determine a and b by the method of least squares Determine (b) the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit. (c) Plot the fit on log-log paper along with the data.
Determining (a) a and b by the method of least squares: a = 1.084 and b = 3.061. (b) The standard deviations of a and b: σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).
(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.
(b) The standard deviations of a and b can be calculated using the following equations:
σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))
σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))
Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.
(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.
To know more about logarithm, refer here:
https://brainly.com/question/30226560#
#SPJ11
Complete question:
The following data follows the functional form y-ax sin(2Tx)
X 0.25 0.75 1.25 1.75 2.25 2.75
Y 3.09 -1.21 0.84 -0.69 0.49 -0.44
(a) Determine a and b by the method of least squares
(b)Determine the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.
(c) Plot the fit on log-log paper along with the data.
What is an example of a linear function table?.
An example of a linear function table is y=3x
A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
for example:
y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.
Read more about linear function tables at:
https://brainly.com/question/25173046
#SPJ4
Why does long division even exist
Is this a real question? If so I don’t know, if not cuz people are cruel.
Which angle or side combinations can make a triangle? Select all that apply. Angles measuring 90°, 45°, and 45°. Angles measuring 27°, 35°, and 108°. Angles measuring 82°, 41°, and 57°. Sides measuring 8 cm, 12 cm, and 5 cm. Sides measuring 7 in., 4 in., and 13 in. Sides measuring 43 cm, 41 cm, and 58 cm.
Answer:
Angles measuring 90°, 45°, and 45°: Can make triangle
Angles measuring 27°, 35°, and 108°: Can not make triangle
Angles measuring 82°, 41°, and 57°: Can make triangle
Sides measuring 8 cm, 12 cm, and 5 cm: Can make triangle
Sides measuring 7 in., 4 in., and 13 in: Can not make triangle
Sides measuring 43 cm, 41 cm, and 58 cm: Can make triangle
Step-by-step explanation:
For the angles to form a triangle, there sum must be equal to 180°
Angles measuring 90°, 45°, and 45°
Sum of Angles = 90° + 45° +45° = 180°
Hence, this combination can make triangle.
Angles measuring 27°, 35°, and 108°
Sum of Angles = 27° + 35° + 108° = 170° ≠ 180°
Hence, this combination can not make triangle.
Angles measuring 82°, 41°, and 57°
Sum of Angles = 82° + 41° +57° = 180°
Hence, this combination can make triangle.
For three sides to form a triangle the sum of the two sides must be greater than the length of third side.
Sides measuring 8 cm, 12 cm, and 5 cm
(8 cm + 12 cm) > 5 cm (True)
(8 cm + 5 cm) > 12 cm (True)
(12 cm + 5 cm) > 8 cm (True)
Hence, this combination can make triangle.
Sides measuring 7 in., 4 in., and 13 in
(7 in + 4 in) > 13 in (False)
Hence, this combination can not make triangle.
Sides measuring 43 cm, 41 cm, and 58 cm
(43 cm + 41 cm) > 58 cm (True)
(43 cm + 58 cm) > 41 cm (True)
(41 cm + 58 cm) > 43 cm (True)
Hence, this combination can make triangle.
Answer:
A- Angles measuring 90°, 45°, and 45°.
C- Angles measuring 82°, 41°, and 57°.
D- Sides measuring 8 cm, 12 cm, and 5 cm
F- Sides measuring 43 cm, 41 cm, and 58 cm.
Step-by-step explanation:
I got it wrong for you guys :D
There is the picture for proof, Have a Wonderful day to anyone who see's this
:)
Suppose the radius of a circle is \color{purple}{2}2start color purple, 2, end color purple units. What is its circumference?
Use 3.14 for \piπpi and enter your answer as a decimal.
The circumference of the circle is 12.56 units
How to determine the circumference of the circle?From the question, we have the following parameters that can be used in our computation:
Radius = 2 units
The circumference of the circle is calculated as
C = 2πr
Where
r = Radius = 2 units
Substitute r =2 in C = 2πr
C = 2π * 2
So, we have
C = 2 * 3.14 * 2
Evaluate the products
C = 12.56
Hence, the circumference is 12.56 units
Read more about circumference at
https://brainly.com/question/3883184
#SPJ1
jai read 52 pages in 2 2/3 hours. At what rate, in pages per hour, did he read?
Answer:
19.5 or 19 1/2
Step-by-step explanation:
2 2/3 = 2.6666666666666667
52/ 2 2/3 = 19.5
Find The value of x. Then find the measure of each labeled angel
Answer:
x=20 the angles are 80 and 100
Step-by-step explanation:
those types of angels are supplementary, so we can set up an equation like this: 5x+4x=180
We'll get x=20, then we can put 20 into each angle to find out its measure:)
5(20)=100
4(20)=80
A packet of 200 envelopes is 1.2cm thick calculate the thickness of one envelopes give your answer in meters in standard form
Answer:21.b
Step-by-step explanation: I found the mass
The population of an island was 2 million in 1950. The population grew in an exponential trend for 63 years and became 6.5 million in 2013. It is estimated that the carrying capacity of the island is 10 million. Assuming the population growth rate in the future remains the same as in the last 50 years, what will be the population of the island in 2050? (Assume constant carrying capacity and consumption/capita.)
The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.
If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050
The population is given to be increasing exponentially, which means it will follow the equation:
\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.
We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:
\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)
Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.
Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:
\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)
where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)
where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)
Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)
To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):
\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.
To know more about equation visit:
https://brainly.com/question/29657983
#SPJ11
Check all of the functions that are odd. F(x)=x3-x2f(x)=x5-3x3+2xf(x) = 4x + 9f (x) = startfraction 1 over x endfraction.
We will see that the odd functions were f(x) = x5 - 3*x3 + 2*x and f(x) = 1/x since only those were true under the specified circumstances.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. The most basic definition is that a function is a collection of ordered pairs of items, which in our instance will be numbers, but they may also be anything else, and which have the feature that their initial members are all distinct from one another. The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.
Here,
A function is odd,
f(-x) = -f(x) for every value of x in its domain.
1) f(x) = x^3 - x^2
f(-x) = (-x)^3 - (-x)^2
= -x^3 - x^2
f(-x) ≠ -f(x)
This function is not odd.
2) f(x) = x^5 - 3*x^3 + 2*x
f(-x) = (-x)^5 - 3*(-x)^3 + 2*(-x)
= -x^5 + 3*x^3 - 2*x = -f(x)
This function is odd.
3) f(x) = 4x + 9
f(-x) = 4*(-x) + 9
= -4*x + 9
-f(x) = -( 4*x + 9)
= -4*x - 9
f(-x) ≠ -f(x)
This function is not odd.
Because only these were true under the specified circumstances, we will find that the odd functions are f(x) = x^5 - 3*x^3 + 2*x and f(x) = 1/x.
To know more about function,
https://brainly.com/question/11024366
#SPJ4
12 is 2/3 of what number?
Answer:
18
Step-by-step explanation:
18 ÷ 3 = 6
6 ⋅ 2 = 12
Therefore, 12 is 2/3 of 18.
A ball has a radius of 18 cm. what is the approximate volume of the ball? use 3.14 to approximate pi. round to the nearest hundredth if necessary. enter your answer as a decimal in the box.
A ball has a radius of 18 cm. The approximate volume of the ball is, 24,416.64 cubic cm
The volume of a sphere is given by:
\(V=\frac{4}{3} \pi r^{2}\)
where,
V is the volume of the sphere
r is the radius of the sphere.
According to the assertion:
A ball has a radius of 18 cm
⇒ r = 18cm and use π = 3.14
Substitute these in [1] we have;
\(V= \frac{4}{3} . 3.14 . (18)^{3}\\ V = \frac{4}{3} .18,312.48\)
Rearrange:
\(V = 24,416.64 cm^{3}\)
In this way, the approximate volume of the ball is, 24,416.64 \(cm^{3}\)
The radius of a circle is the separation from the middle to any point on the limit of the circle. It ought to be noticed that the length of the radius is half of the length of the diameter. It tends to be communicated as d/2, where 'd' is the diameter of the circle or sphere. Notice the figure of a circle given underneath which shows the connection between radius and diameter.
to know more about radius click here:
https://brainly.com/question/27696929
#SPJ4
A pizza has a diameter of 16 inches. Which is to closest area of one slice if the pizza is divided into 6 equal pieces?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3 + 5y = –20
Answer:
Submit Answer
PLS HELP ASAP
Answer: y = -23/5
Step-by-step explanation:
Decimal Form : -4.6
Mixed Number : -4 3/5
Solve analytically Laplace's equation Au=0 in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0
Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x
Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).
To know more about Laplace equation visit
https://brainly.com/question/31583797
#SPJ11
Pleaseee helppp
Which is a proportion
Thanks
100 points extra will mark brainliest
Answer:
Step-by-step explanation:
19 .m= (64*7)/8=56
20.a= (36*7) /28=9
12*у=15у-40
12у-15у=-40
У=40/3
You go to the State Fair, and have fun. Your Cost Equation can be represented by the
equation
C(r) = 6r + 10 where Crepresents the total cost, and r represents the number of
rides you went on
Find rif C (r) = 28
Answer:
r = 3
Step-by-step explanation:
C(r) = 6r + 10
C(r) = 28
Substitute 28 for C(r)
28 = 6r + 10
Subtract 10
18 = 6r
Divide by 6
3 = r
r = 3
Find the value of x in the parallelogram below.
Answer:
x = 25
y = 6
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
2x and 50 are opposite angles,
2x = 50
Divide 2 on both sides,
x = 50 / 2
x = 25
In a parallelogram opposite sides are equal.
y + 5 and 11 are opposite sides,
y + 5 = 11
y = 11 - 5
y = 6
Answer:
x=25
y=6
Step-by-step explanation:
from the diagram,
2x= 50(opposite angles of a parallelogram)
2x= 50
dividing bothsides by 2
2x/2=50/2
x= 25
then,
y+5=11(opposite sides of a parallelogram)
y= 11-5
y= 6
Work out 2³ X 2⁵
help my math work
Simplify 5(2y-3k)+4(3k-y)
Answer:
−3k+6y
Step-by-step explanation:
Apply the distributive property.
5(2y)+5 (−3k)+4(3k−y)
Multiply 2 by 5.
10y+5(-3k)+4(3k−y)
Multiply −3 by 5.
10y−15k+4(3k−y)
Apply the distributive property.
10y−15k+4(3k)+4(−y)
Multiply :3 by 4
10y−15k+12k+4(−y)
Multiply: −1 by 4
10y−15k+12k−4y
Simplify by adding terms.
Subtract: 4y from 10y
−15k+12k+6y
Add: −15k and 12k
−3k+6y
Find the GCF of each set of numbers.
1. 6 and 9
2.4 and 8
3. 8 and 12
4. 6 and 15
5. 10 and 15
6. 9 and 12
7. 4 and 10
8. 5 and 20
9. 7 and 14
10. 8 and 11
11. 2 and 12
12. 9 and 21
help?
a particular triangle has sides of length 14 cm, 8 cm and 9 cm. in centimeters, what is the perimeter of the triangle?
Answer:
31cm
Step-by-step explanation:
14 + 8 + 9 = 31
Make sure to add the cm on the end!
The perimeter of the triangle is 31cm.
The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.
In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.
In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.
For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.
In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.
To know more about perimeter refer here:
https://brainly.com/question/6465134
#SPJ11
fit a proportional odds model with all possible predictors. which coefficients are significant at 0.05 significance level? provide an interpretation of these.
A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. To fit the model with all possible predictors, the p-values associated with each coefficient must be obtained using the summary() function in R. The p-values indicate whether the coefficients are significant at the 0.05 significance level and the significant coefficients tell us which predictor variables are associated with the response variable.
A proportional odds model is an ordinal logistic regression model with the proportional odds assumption. It is used to predict the relative odds of moving from one outcome to another. To fit a proportional odds model with all possible predictors, one needs to fit the model using the following code in R:mod - polr(Y X1 + X2 + X3 + X4 + X5, data = mydata). To test for the significance of coefficients at the 0.05 significance level, one needs to look at the p-values associated with each coefficient. The most important details are that the p-values indicate whether the coefficients are significant at the 0.05 significance level, and that the significant coefficients tell us which predictor variables are associated with the response variable.
To know more about ordinal logistic regression model Visit:
https://brainly.com/question/32505018
#SPJ11
Need help ASAP And please don't be a scammer
And please answer fast
Answer:
I am confused can you give more info on the question
Step-by-step explanation:
Question how do I find the value of x?
Answer:
20
Step-by-step explanation:
The total degrees in a circle is 360 degrees
x+40+2x+110+3x+90 = 360
==> 6x = 120
x = 20
Answer:
The answer would be x=20