Answer:
In the exact form, it would be 2/3.
(Hope it works!)
Step-by-step explanation:
Write a Polynomial function that has the given zeros
5, -2+2i
The equation of the polynomial function is P(x) = (x- 10)(x² + 10x + 21)
How to determine the polynomial equation?The given parameters are
Leading coefficient, a = 1
Zeros = 5, -2 + 2i
There are complex numbers in the above zeros
So, the other zeros are
Zeros = -2 - 2i
The equation of the polynomial is then calculated as
P(x) = Leading coefficient * (x - zero)^multiplicity
So, we have
P(x) = 1 * (x - 5) * (x - (-2 + 2i)) * (x - (-2 - 2i))
This gives
P(x) = 1 * (x- 10) * ((x + 5)² - 4)
So, we have
P(x) = 1 * (x- 10) * (x² + 10x + 25 - 4)
Evaluate the products and the difference
P(x) = (x- 10)(x² + 10x + 21)
Hence, the equation is P(x) = (x- 10)(x² + 10x + 21)
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How do you look for a correlation using data points?
Using data points, the value of correlation coefficient is obtained which expresses the link between two variables.
What is correlation coefficient?The correlation coefficient, which is used in correlation methods, captures the link between two variables in a single value. The correlation coefficient spans from -1 to +1 and is typically denoted by the letter r.
In order to find correlation using data points, the following steps are required to be followed.
Step 1: We need to determine the data sets.
We need to determine our variables and the data sets whose values can be placed in our equation. We need to separate these values by x and y variables.
Step 2: We need to calculate the standardized value for x variables.
After determining the data sets, the following equation is used to calculate a standardized value for every x(i) variable:
(z(x))(i) = (x(i) - x) / s(x)
where,
(x(i), y(i)) is a pair of data
x is the mean of x(i)
ȳ is the mean of y(i)
s(x) is the standard deviation of x(i)
s(y) is the standard deviation of y(i)
Step 3: We need to calculate the standardized value for y variables.
After determining the standardized value for every x(i), we need to repeat it for calculating each y(i) with the following equation:
(z(y))(i) = (y(i) - ȳ) / s(y)
Step 4: We need to multiply and find the sum.
After obtaining the standardized values, we need to multiply them together. After multiplying the values, we need to add them together for finding the sum.
Step 5: We need to divide the sum and determine the correlation coefficient.
In the last step, we will use n to represent the total number of points in the data pair. Then, we will divide the sum obtained in step four by n-1. This way we will obtain the correlation coefficient.
Hence, the correlation coefficient is obtained using the data points.
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Pls Answer and Explain
Answer:
see explanation
Step-by-step explanation:
given the triangles are similar , that is
Δ GHI ≅ Δ YXZ
Then corresponding angles are congruent.
∠ X = ∠ H = 20°
∠ Y = ∠ G = 90°
note that ∠ I = 180° - (90 + 20)° = 180° - 110° = 70° , then
∠ Z = ∠ I = 70°
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Find the radius of convergence R of the series.
∞∑ₙ₋₁ n/bn (x − a)ⁿ, b > 0
Find the Interval of convergence of the series. (Enter your answer using Interval notation.)
Which of the following expressions have a coefficient of 6 and a constant of 9
An expression which has a coefficient of 6 and a constant of 9 include the following: C. 6x + 9.
What is an algebraic expression?In Mathematics, an algebraic expression can be defined as a type of mathematical equation which is typically used for showing the relationship existing between two (2) or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity, numerical data, or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Assuming the variable is x, an algebraic expression that has a coefficient of 6 and a constant of 9 would be written as follows;
Algebraic expression = (coefficient × x) + constant
Algebraic expression = (6 × x) + 9
Algebraic expression = 6x + 9
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Complete Question:
Which of the following expressions has a coefficient of 6 and a constant of 9?
6 + 9x
9 + 6
6x + 9
9 - 6
savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?
Answer:
Savannah
Answer:
Savannah walks a further distance
Step-by-step explanation:
8/9 is a larger fraction than 2/3. This might be easier to see if we make these fractions have the same denominator.
[tex]\frac{8}{9} and \frac{6}{9}[/tex]
Therefore, savannah walked a further distance than Wendy.
3. A decagon has six equal exterior angles. Each of the
remaining four is fifteen degrees larger than these six
angles. Construct an equation and then solve it to find the
sizes of the angles.
Answer:
30,30,30,30,30,30,45,45,45,45
Step-by-step explanation:
The sum of the exterior angles is 360.
Let x = the equal one of the six equal angles
6x + 4( x + 15) = 360 Distribute the 4
6x + 4(x) + 4(15) = 360
6x + 4x + 60 = 360 subtract 60 from both sides
6x + 4x + 60 - 60 = 360 - 60
6x + 4x = 300 Combine like terms
10x = 300 Divide both sides by 10
[tex]\frac{10x}{10}[/tex] = [tex]\frac{300}{10}[/tex]
x = 30
30 + 15 = 45
The movement of the progress bar may be uneven be
Simplify. x²-9 x+14 / x²+5x-14
+5 / x-9
x-7 / x+7
4x
-4x
Answer:
that's the answer in the photo
A circle has a diameter of 20 inches. What are the circumference and area of the circle?
Answer:
C = 62.8 in
A = 314.2 in²
Step-by-step explanation:
r = D/2 = 20/2 = 10 in
C = 2πr = 2π(10) = 62.8 in
A = πr² = π(10)² = 314.2 in²
Simon sells hand made wooden dining tables in his furniture shop.
Due to a tree disease that has damaged lots of oak trees, the price of an oak table has gone up by 47%
The original price of an oak table was £300.
What will the new price of the table be?
The new price of the table, given the original price of the oak table and the increase in price, is £ 441
How to find the new price ?The new price of the table would be higher than the original price because the price of the oak table is said to have risen by up to 47 %. This means that whatever the price of the oak table was, it would now be 47 % higher.
The price of the oak table for Simon can be found by the formula :
= Original price of the oak table x ( 1 + rate of increase )
Original price = £300 .
Rate of increase = 47 %
The new price is :
= 300 x ( 1 + 47 % )
= 300 x 1. 47
= £ 441
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Can someone please write the equation? Picture shown below
Thank you!
The equation of the line that represents the graph will be y = (2/3)x - 8.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the graph, the two points are (0, -8) and (6, -4). Then the equation of the line is given as,
(y + 8) = [(- 4 + 8) / (6 - 0)](x - 0)
y + 8 = (2/3)x
y = (2/3)x - 8
The equation of the line that represents the graph will be y = (2/3)x - 8.
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If the probability that the Islanders will beat the Rangers in a game is 33%, what is the probability that the Islanders will win exactly zero out of the three games in a series against the Rangers? Round your answer to the nearest thousandth
The probability that the Islanders will win exactly zero is 0.300763
How to determine the probability that the Islanders will win exactly zeroFrom the question, we have the following parameters that can be used in our computation:
Number of games = 3
Probability of winning = 33%
This means that
Probability of losing = 1 - Probability of winning
Substitute the known values in the above equation, so, we have the following representation
Probability of losing = 1 - 33%
Evaluate
Probability of losing = 67%
The probability that the Islanders will win exactly zero is calculated as
P = Probability of losing^3
So, we have
P = (67%)^3
Evaluate
P = 0.300763
Hence, the probability is 0.300763
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calculate the tax for each taxable income of a head of household
Answer:
The tax for each taxable income of a head of household depends on the tax rate that applies to that income and the applicable deductions and credits available to the taxpayer. The tax rate applied to a taxpayer's income depends on the taxpayer's taxable income and filing status. The tax rate for a head of household is generally lower than the tax rate for a single filer, but higher than the tax rate for a married taxpayer filing a joint return.
To determine the tax for a taxable income of a head of household, you can use the Internal Revenue Service (IRS) tax tables or a tax calculator. The tax tables provide tax rates and income ranges for each tax bracket, and you can use them to determine the tax on a given income. Alternatively, you can use a tax calculator to input your taxable income, filing status, and any applicable deductions and credits to determine the tax owed.
It's important to note that the tax rate for a head of household may change from year to year, as the IRS adjusts the tax brackets and rates. Additionally, the deductions and credits available to a head of household may change from year to year, so it's important to consult the IRS guidelines for the most current information.
Step-by-step explanation:
How to write as simplified fraction
Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home. Determine after how many hours Marisol will be 113 miles from home.
The number of hours that Marisol will be 113 miles from home is 5.5 hours.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
Since Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home.
Let the number ot hours be h.
The number of hours that Marisol will be 113 miles from home will be:
415.5 - 55h = 113
55h = 415.5 - 113
55h = 302.5
Divide
h = 5.5 hours
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unit 6: linear inequalities
write an inequality in each form given the solution set shown on the graph. check your work by substituting a test point into each inequality.
Answer:
he point (-1, 0) is a valid solution, and the inequality is correctly written
Step-by-step explanation:
There are three standard forms for linear inequalities:
Standard form: Ax + By > C
Slope-intercept form: y > mx + b
Point-slope form: y - y1 > m(x - x1)
To write an inequality in standard form, you need to know the coefficients of the variables (A and B) and the constant term (C). You can find these values by examining the slope and the y-intercept of the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in standard form, we can set A = 2, B = 1, and C = 1. The resulting inequality is 2x + y > 1. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 2(-1) + 0 > 1, which simplifies to -2 > 1, which is not true. Therefore, the point (-1, 0) is not a valid solution, and the inequality is correctly written.
To write an inequality in slope-intercept form, you need to know the slope (m) and the y-intercept (b) of the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in slope-intercept form, we can set m = 2 and b = 1. The resulting inequality is y > 2x + 1. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 0 > 2(-1) + 1, which simplifies to 0 > -2 + 1, which is true. Therefore, the point (-1, 0) is a valid solution, and the inequality is correctly written.
To write an inequality in point-slope form, you need to know the slope (m) and a point (x1, y1) on the line representing the inequality. For example, suppose the graph of the inequality shows the solution set to be all the points that lie above the line y = 2x + 1. To write this inequality in point-slope form, we can choose a point on the line, such as (0, 1), and set x1 = 0 and y1 = 1. The slope of the line is m = 2, so the resulting inequality is y - 1 > 2(x - 0). This simplifies to y > 2x + 1, which is the same as the inequality written in slope-intercept form. To check our work, we can substitute a test point, such as (-1, 0), into the inequality to see if it is a valid solution. In this case, we have 0 > 2(-1) + 1, which simplifies to 0 > -2 + 1, which is true. Therefore, the point (-1, 0) is a valid solution, and the inequality is correctly written.
5. Devi and Gill started saving money at the same time. Each day, Devi saves $1.40 and Gill saves 30 cents more than Devi. When Gill had saved $5.40 more than Devi, how much money had Devi saved?
Answer:
$25.20
Step-by-step explanation:
($5.40) / ($0.30/day) = 18 days
It took 18 days for Gill to save $5.40 more than Devi. So in those 18 days Devi saved:
$1.40/day x 18 days = $25.20
the probability of hitting a target is p. find the expected number of shots required to knock all of the targets down.
The expected number of shots required to knock all of the targets down is 1/p.
Calculating the Expected Number of Shots Required to Knock Down TargetsThe expected number of shots required to knock all of the targets down is equal to 1 divided by the probability of hitting a target (p). This is because the probability of hitting a target on any given shot is p, and so the expected number of shots required to knock all of the targets down is the inverse of that probability. Therefore, the expected number of shots required to knock all of the targets down is 1/p.
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whats 9 divided by 513
9 ÷ 513 = 0.01754385964
513 ÷ 9 = 57
Answer:
0.01754385964 ( 9 divided by 513 )
Step-by-step explanation:
How do you divide step by step?
Here are some easy 3 steps for dividing.
Step 1: Take the first digit of the dividend from the left. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Find the value of x.
3
4
6
8
Answer:
x=8
Step-by-step explanation:
in this question we can use either the concept of similar traiingle or just use the concept of isoceless traingle
2BC=CD
or 2*3x=48
or x=8.
If the radius of the circle is 2 in., the diameter is about_________________.
Answer:4
Step-by-step explanation:
The diameter is always 2*radius.
So, 2*2=4 !
In the figure below, PQ≅QR JK=3x+23 and LM=9x-19 Find the length of PK.
The length of PK is half of the circle chord JK and is equal to 22.
How to evaluate for the length of PKWe shall first find the value of x by equating JK to LM as PQ is similar to QR, then we divide the circle chord with length JK to get PK as the radius forms an angle 90° with Jk.
9x - 19 = 3x + 23
9x - 3x = 23 + 19
6x = 42
x = 42/6
x = 7
JK = 3(7) + 23 = 44
PK = JK/2
PK = 44/2
PK = 22.
Therefore, the length of half the circle chord PK is equal to 22.
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value of x for x - 5=7
Answer: x=12
Step-by-step explanation:
Add 5 to both sides. 7 + 5 is 12
Find the 10th term sequence OF 2, 3, 5, 8, 12
Answer: 47
Step-by-step explanation: 2,3,5,8,12,17,23,30,38,47,57
Answer:
57
Step-by-step explanation:
The sequence starts out 2 , 3 which is the 1st term of the sequence because from the number 2, 3 is one number away. . Then 3, 5 which is the 2nd sequence because 5 is two numbers away from the number 3. 5 to 8 is the 3rd sequence because 5, 6 , 7, 8.... three numbers away from the number 5 is 8. The problem continues from 8 to 12 is four numbers away, the next sequence is five numbers away. And the number 47 is 10 numbers away from 57 making 57 the 10th term.
What’s is the correct answer answer asap for brainlist
Option (c) In the given Poem "Hope is the thing with a feather" Hope symbolizes a Strong-willed bird
What is Hope in this poem?"Hope" is described by the speaker as a winged creature that resides within the human spirit. This feathered monster sings a tune without any words and never stops. Its song is most enjoyable when heard in strong gusts. This bird's chirping could only be silenced by a storm that was quite intense. Many people have experienced warmth from the "Hope" bird. The narrator has heard the song of the bird in the coldest climates and on the most unusual seas. But even in the most extreme instances, according to the speaker, the bird never demanded anything in return.
The well-known poem "Hope is the thing with feathers" by American poet Emily Dickinson was composed sometime about 1861. In the poem, "Hope" is figuratively changed into a tenacious bird that dwells inside the human soul and sings its song despite everything. The poem basically aims to remind readers of the strength of optimism and how little it demands of people. Hope, according to the speaker, has always been a comfort in trying times and has never required anything in return. The poem "Hope is the Thing with Feathers" is one of many by Emily Dickinson that reinterprets an abstract idea using novel imagery and figurative language.
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3. The ratio between raspberries, r, and strawberries, s, on a farm is 2248:562. Which equation below represents this relationship? Or=4s 0s= 120 Os=4r O r = 138
O r = 4s equation below represents this relationship.
What is equation?An equation is an expression that states the equality of two things. It is used in mathematics to express the relationship between variables and numbers. Equations are used to solve problems in a variety of fields, including physics, engineering, chemistry, and economics. An equation typically consists of an equal sign, two expressions, and one or more mathematical operations. For example, the equation x + 5 = 8 tells us that if we add 5 to x, the result will be 8. Equations are often written using symbols, such as x, y, and z, which represent unknown values.
This equation represents the relationship between raspberries, r, and strawberries, s, on a farm, where the ratio is 2248:562. The equation states that for every 4 strawberries, there are 2248 raspberries
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Simplify −4g(2g + 3).
−8g2 − 12g
−8g2 + 3
−8g + 3
−8g − 12g
Answer:
-8g2 - 8g + 3
Step-by-step explanation:
Answer:
−8g2 − 12g
Step-by-step explanation:
-4g(2g + 3)
-8g^2 - 12g
Kelly has invested $5,000 in a
company. She has received $2,500
back. What is her return on equity?
Enter your answer as a percent.
[?]%
Return on Equity
net income
shareholder's equity
The return on equity is 50%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Kelly has invested $5,000 in a company. She has received $2,500 back.
The return on equity = 2500/5000 ×100
= 1/2 ×100
= 0.5×100
= 50%
Therefore, the return on equity is 50%.
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Two times the sum of a number and 5 increased by 3 times the same number is equal to 30..
Answer: 0
Step-by-step explanation:
This would be you algebra equation:
(2*(x+5))*3=30
Then, solve:
(2x+10)*3=30
6x+30=30
6x=0
x=0
