Answer:
92
Step-by-step explanation:
2 × 34 + 72 ÷ 3
(2 × 34) + (72 ÷ 3)
68 + 24 = 92
I hope this helps!
A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false
Answer:
Pretty Sure False.
Answer: false
Step-by-step explanation: a pex
can the graph of y=f(x) intersect a horizontal asymptote
The graph of y = f(x) can intersect a horizontal asymptote. The presence of a horizontal asymptote indicates that the function approaches a specific value as x approaches positive or negative infinity.
It does not necessarily restrict the behavior of the function within a finite domain.
In some cases, the graph of y = f(x) can intersect or cross the horizontal asymptote at certain points. This can occur when the function exhibits oscillating or fluctuating behavior around the asymptote.
The function may approach and cross the asymptote multiple times, creating intersections between the graph and the horizontal line.
It's important to note that crossing the horizontal asymptote does not imply a violation of its nature. The asymptote still serves as a boundary or limit for the function's behavior as x approaches infinity, even if the graph intersects it at specific points.
The key characteristic of a horizontal asymptote is that the function approaches but does not exceed or go beyond the asymptotic value as x goes to infinity or negative infinity.
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Solve the equation by completing the square.x^2- 9x -3=0
Okay, here we have this:
Considering the provided equation, we are going to complete the square, so we obtain the following:
\(\begin{gathered} x^2-9x-3=0 \\ \end{gathered}\)From here we obtain that:
2a=-9
a=-9/2
Therefore we will add and subtract in the equation "a" squared, we have:
a=-9/2
a^2=(-9/2)^2
a^2=81/4
\(\begin{gathered} x^2-9x+\frac{81}{4}-3-\frac{81}{4}=0 \\ (x-\frac{9}{2})^2-\frac{12}{4}-\frac{81}{4}=0 \\ (x-\frac{9}{2})^2-\frac{93}{4}=0 \end{gathered}\)The above equation corresponds to the one requested by completing the square.
PLEASE HELP FAST !!!
What is the equation of the line in slope-intercept form?
Answer:
y = 4/3x + 4
Step-by-step explanation:
How do you tell if a slope is steeper or flatter?
Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .
Slope is the rate of change in the dependent variable with respect to the independent variable.
For an equation of line of the type - y= mx +c , the slope is given by the m value.
Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.
Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values, the lines have a flatter slope and do not have a steep nature.
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what is the answer to this question please
The length of /BD/ in the similar shapes shown is 3.6.
What is similar shapes?Similar shapes are enlargements of each other using a scale factor.
Note: All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
To calculate the length of BD, we use the formula below.
Note: ΔDAC is similar to ΔBAD
Formula:
LineAC/LineAB = LineCD/LineBD................. Equation 1From the question,
Given:
/AC/ = 5.1/AB/ = 5.7/CD/ = 3.2Substitute these values into equation 1 and solve for /BD/
5.1/5.7 = 3.2/LineBDLineBD = (3.2×5.7)/5.1LineBD = 3.6Learn more about similar shapes here: https://brainly.com/question/29782860
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Find a linear homogeneous constant-coefficient differential equation with the general solution
y(x) = C1e^(8x) + C2cos(5x) + C2sin(5x)
that has form y''' + ay'' + by' + cy = 0
Please provide a worked solution, I'm looking to find out how to do these types of problems.
The linear homogeneous differential equation is y''' - 8y'' + 400y' - 3200y = 0.
To find a linear homogeneous constant-coefficient differential equation with the given general solution y(x) = C1e^(8x) + C2cos(5x) + C2sin(5x), we need to follow these steps:
Identify the characteristic equation for each term,
For C1e^(8x), the characteristic equation is r = 8.
For C2cos(5x), the characteristic equation is r^2 + 5^2 = 0.
For C2sin(5x), the characteristic equation is also r^2 + 5^2 = 0 (since sine and cosine have the same characteristic equation).
Find the characteristic polynomial,
Since we have three characteristic equations, we multiply them to get the characteristic polynomial:
(r - 8)(r^2 + 25)(r^2 + 25)
Identify the coefficients a, b, and c,
Expand the polynomial:
r^4 - 8r^3 + 400r^2 - 3200r + 6400
From the expanded polynomial, we can see that
a = -8
b = 400
c = -3200
Write the linear homogeneous differential equation,
Using the coefficients from step 3, we can now write the linear homogeneous constant-coefficient differential equation:
y''' - 8y'' + 400y' - 3200y = 0
Thus, the required differential equation is y''' - 8y'' + 400y' - 3200y = 0.
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A regular hexagon is rotated about its center. By which angle could the hexagon be rotated so that its mapped onto itself?
answer is 60 degrees
Which of the following statements is not correct concerning qualitative and quantitative research?
A.
Research cannot use both qualitative and quantitative methods in a study.
B.
Research can use both qualitative and quantitative data in a study.
C.
Quantitative research uses numbers and measurements.
D.
Qualitative research uses descriptions and observations.
A.
Research cannot use both qualitative and quantitative methods in a study.
The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."
This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.
Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.
Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.
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Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford a monthly bill of $86.00.
Chris can afford to use 500 minutes with a monthly bill of $86.00, given the flat fee of $26.00 per month and a cost of $0.12 per minute of usage.
To determine the number of minutes of usage Chris can afford with a monthly bill of $86.00, we need to subtract the flat fee from the total bill and then divide the remaining amount by the cost per minute.
Let's calculate it-
1. Subtract the flat fee from the total bill:
$86.00 - $26.00 = $60.00
2. Divide the remaining amount by the cost per minute:
$60.00 ÷ $0.12 = 500 minutes
Therefore, Chris can afford to use 500 minutes with a monthly bill of $86.00, given the flat fee of $26.00 per month and a cost of $0.12 per minute of usage.
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Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford a monthly bill of $86.00. Determine the number of minutes of usage Chris can afford with a monthly bill of $86.00,
Ty, who weighs 120 lbs, sits 5 ft to the left side on a seesaw. In order to balance the seesaw, Charley has to sit 6 ft to the right. How much does Charley weigh?
Ans: 144
Step-by-step explanation:
24 pounds per foot.
120+24=144
pls mark brainliest
Solve this equation \(i x - 4i = 2\)
ANSWER
x = 4 - 2i
EXPLANATION
To solve this equation for x, first, we have to add 4i to both sides,
\(\begin{gathered} ix-4i+4i=2+4i \\ ix=2+4i \end{gathered}\)And then multiply both sides by i,
\(i^2x=2i+4i^2\)Remember that i² = -1,
\(-x=2i-4\)Multiply both sides by -1,
\(x=4-2i\)Hence, the solution is x = 4 - 2i.
3. Write a 2 column proof.
Given: RS TS
V is the midpoint of RT.
Prove: ARSV= ATSV
The two-column proof that proves that ΔRSV ≅ ΔTSV by the SSS congruence theorem is explained below.
What is a Two-Column Proof?A Two-Column Proof is a method of providing a logical step-by-step demonstration of a mathematical statement or theorem using a column for statements and a column for corresponding justifications or reasons.
Tus, we have the two-column proof as explained below:
Statement Reason
1. RS ≅ TS, V is the 1. Given
midpoint of RT.
2. RV ≅ TV 2. Def. of midpoint
3. SV ≅ SV 3. Reflexive property of congruency.
4. ΔRSV ≅ ΔTSV 4. SSS
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Please I NEED HELP ASAP FOR 10 POINTS PLEASE ASPA HELP MEE QUESTION #8
Answer:
For the top row, 3 and 4, respectively
For the bottom row, 60 and 150, respectively
Step-by-step explanation:
w increases by 1 every time and d increases by 30
Answer:
for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks and for 5 weeks its $150.
Step-by-step explanation:
She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.
Find the volume of the cylinder. Use 3.14 as π.
Jade bought a car for $21,400 at an APR of 3. 6%, compounded monthly, by agreeing to make monthly payments of $149. 00 for 48 months. After 48 months, Jade plans to make a balloon payment. Usually, the monthly payment on a 48- month loan for $21,400 at an APR of 3. 6%, compounded monthly, is $479. 37. Jade is wondering how much more expensive the balloon payment option is. Let's do some calculations to find out.
Part I: How much will Jade have paid after 48 months with a monthly payment of $149. 00?
Part II: What will Jade's balloon payment be?
Part III: How much in total will Jade have paid after making the balloon payment?
Part IV: How much would Jade have paid in total if she had made the usual payment of $479. 37 for 48 months?
Part V: How much more expensive was the balloon payment option for Jade than if she had just made the usual payment of $479. 37 for 48 months?
after 48 months, Jade will have paid $7,152.00, Jade's balloon payment will be $6,678.29. Jade will have paid $13,830.29 after making the balloon payment. if Jade had made the usual payment of $479.37 for 48 months, she would have paid a total of $23,023.76. and it was cheap.
Part I: The total amount Jade will have paid after 48 months with a monthly payment of $149.00 can be found by multiplying the monthly payment by the number of months:
Total amount paid = Monthly payment x Number of months
Total amount paid = $149.00 x 48
Total amount paid = $7,152.00
So after 48 months, Jade will have paid $7,152.00.
Part II: Jade plans to make a balloon payment after 48 months. To find out how much the balloon payment will be, we need to find the remaining balance on the loan after 48 months. We can use the formula for the future value of an annuity to find this amount:
Remaining balance = Monthly payment x ((1 + monthly interest rate)^number of months - 1) / monthly interest rate - loan amount x (1 + monthly interest rate)^number of months
Where:
Monthly payment = $149.00
Monthly interest rate = APR / 12 = 3.6% / 12 = 0.3%
Number of months = 48
Loan amount = $21,400
Plugging in these values, we get:
Remaining balance = $149.00 x ((1 + 0.003)⁴⁸ - 1) / 0.003 - $21,400 x (1 + 0.003)⁴⁸
Remaining balance = $6,678.29
Therefore, Jade's balloon payment will be $6,678.29.
Part III: To find out how much in total Jade will have paid after making the balloon payment, we need to add the total amount paid after 48 months (from Part I) to the balloon payment:
Total amount paid = Amount paid after 48 months + Balloon payment
Total amount paid = $7,152.00 + $6,678.29
Total amount paid = $13,830.29
So in total, Jade will have paid $13,830.29 after making the balloon payment.
Part IV: If Jade had made the usual payment of $479.37 for 48 months, the total amount she would have paid can be found by multiplying the monthly payment by the number of months:
Total amount paid = Monthly payment x Number of months
Total amount paid = $479.37 x 48
Total amount paid = $23,023.76
Therefore, if Jade had made the usual payment of $479.37 for 48 months, she would have paid a total of $23,023.76.
Part V: To find out how much more expensive the balloon payment option was for Jade than if she had just made the usual payment of $479.37 for 48 months, we need to subtract the total amount paid in Part IV from the total amount paid in Part III:
Difference = Total amount paid with balloon payment - Total amount paid with usual payment
Difference = $13,830.29 - $23,023.76
Difference = -$9,193.47
The result is negative, which means that the balloon payment option was actually cheaper for Jade than if she had made the usual payment of $479.37 for 48 months. Specifically, she would have saved $9,193.47 by choosing the balloon payment option.
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Danny drove his car to run some errands before he went to his friends house it took him 80 minutes to get to his friends house. During which interval did Danny's distance from home decrease
a. 40 to 65 mins
b. 0 to 15 mins
c. 80 to 90 mins
d. 15 to 30 mins
Find the area. Simplify your answer.
x+1
2x
Answer:
\(A = x^{2} + x\)
Step-by-step explanation:
Area of a triangle = bh/2
Your base is 2x and the height is x + 1
So, A = (2x)(x + 1)/2
A = \(x^{2} + x\)
Point O is on line segment NP. Given OP = 2 and NO = 17,
determine the length NP.
Answer: NP =
According to the solving the line segment NP is:
= 24.
What exactly is a line?A line is a one-dimensional figure with no width and only length. A line is made up of a series of points that stretch endlessly in opposite directions. Two points in a two-dimensional plane determine it. Collinear points are two points that we can see on the same line.
What exactly is the midpoint?The halfway of a line segment is its center. It is equidistant both from endpoints and serves as the segment and endpoint centroid. It cuts the portion in half.
According to the given data:NP is a line segment
and O is the mid point
We can write
NP = NO + OP
now put the values
under NP write 2x , NO = x+7 , OP = 10
the equation that we obtain after putting values is:
2x = x+7 + 10
now solving
=2x - x
= 7+10
x = 17
therefore
numerical length of NO = x+7
17 + 7
= 24
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5-Gioup of acievints with a commatid inforination. 9. Traatactions are jocmalsens ased poeted by have Tourmal Entries 1. Purchayed oqfice equipewent for \( \$ 15000 \) paying 54000 in eask and tigming
Journal Entry for the purchase of office equipment:
Debit Office Equipment for $15,000Credit Cash for $4,000Credit Notes Payable for $11,000What is the journal entry for the purchase of office equipment ?The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.
Data:
Total cost of office equipment = $15,000Amount paid in cash = $4,000Remaining amount on the note:
= Total cost - Cash paid
= $15,000 - $4,000
= $11,000
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1. You are a skateboarder. You go to a skateboard park that has a merry-go-round. You hold on to the railing while the merry-go-round spins rapidly, so you are moving in a circular path while on your skateboard. Suddenly, you let go of the railing. What is the path of your motion? Assume your skateboard has perfect ball bearings and that the ground has an ideal surface so that there is no friction to slow you down2. Now think about the Ferris wheel.You are holding onto a railing on the circumference of a Ferris wheel that is turning rapidly. Suddenly, you let go. Sketch the path of your fall for at least one position in each quadrant.
When you let go of the railing on the merry-go-round at the skateboard park, your path of motion will be tangential to the circular path. For the Ferris wheel, your path will be parabolic due to the influence of gravity.
When you let go of the railing on the merry-go-round at the skateboard park, your motion will follow the principle of inertia. Since there is no friction to slow you down, your path of motion will be tangential to the circular path at the moment you let go. This means you will continue moving in a straight line tangent to the circular path.
In the case of a Ferris wheel, when you let go of the railing, gravity comes into play. Your path of motion will follow a parabolic trajectory due to the influence of gravity. As you fall, your path will curve downward, creating a parabolic shape.
The exact shape and position of the parabolic path will depend on factors such as your initial position, speed, and the size of the Ferris wheel. To sketch the path of your fall for at least one position in each quadrant, you would need specific information about the Ferris wheel's dimensions and your initial position.
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Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number of liters of gasoline Chris bought? A 11.44 L B 2.74 L C 47.12 L D 14.20 L2
Answer:
C 47.12 L
Step-by-step explanation:
1 gallon = 3.8 liters
12.4 gallons = x
Cross Multiply
= 12.4 × 3.8
47.12 liters
Option C is correct
Let L be the linear operator on R2 definedby
L(x)= (x1cosα-x2sinα,x1sinα+x2cosα)T
Express x1, x2, andL(x) in terms of polar coordinate. Describe geometricallythe effect of the linear transformation.
I'm just not sure where to start or how to even approach thisproblem. My book is not very helpful and does not provide anyexamples. Any help would be appreciated!
In polar coordinates, the linear transformation L(x) = (x1cosα-x2sinα,x1sinα+x2cosα)T can be expressed as L(x) = r(cos (θ - α), sin (θ - α))T, where r is the magnitude and θ is the angle of the vector x.
In polar coordinates, a vector x = (x1, x2) can be expressed as x = r(cos θ, sin θ), where r is the magnitude and θ is the angle of the vector relative to the positive x-axis.
Expanding L(x) using the given formula, we get:
L(x) = (x1 cos α - x2 sin α, x1 sin α + x2 cos α)T
= r(cos θ cos α - sin θ sin α, cos θ sin α + sin θ cos α)T
= r(cos (θ - α), sin (θ - α))T
So, in polar coordinates, L(x) has the same magnitude r as x, but it is rotated by an angle α clockwise.
Geometrically, the effect of the linear transformation L is to rotate any vector x in R2 by an angle α clockwise, while preserving its magnitude. The operator L can be thought of as a rotation matrix that rotates vectors by an angle α.
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Two points determine a line. Find an equation of the line passing through the points.
(-5,16) and (- 2,7)
(Also u don’t need to write the explanation. Js the answer :p)
Answer: 3
Step-by-step explanation:
In a survey it was found that 21 persons liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find
a) The number of people who liked at least one product
Answer:
64
Step-by-step explanation:
To find the number of people who liked at least one product, we need to calculate the total number of unique individuals who liked any of the three products.
We can use the principle of inclusion-exclusion to solve this problem. The principle states that:
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
Given:
|A| = 21 (number of people who liked product A)
|B| = 26 (number of people who liked product B)
|C| = 29 (number of people who liked product C)
|A ∩ B| = 14 (number of people who liked products A and B)
|A ∩ C| = 12 (number of people who liked products A and C)
|B ∩ C| = 14 (number of people who liked products B and C)
|A ∩ B ∩ C| = 8 (number of people who liked all three products)
Using the formula, we can calculate the number of people who liked at least one product:
|A ∪ B ∪ C| = 21 + 26 + 29 - 14 - 12 - 14 + 8
= 64
Therefore, the number of people who liked at least one product is 64.
Evaluate 1 1/2 + 3/4 ÷ (-1/3) - 2/3 Enter your answer as a mixed number in simplest form in the box
The result of the expression as a mixed fraction is -1 5/12
Given the expression
\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Write as an improper fraction
\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Using the PEDMAS rule;
\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)
Find the LCM of the result
\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)
Hence the result of the expression as a mixed fraction is -1 5/12
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Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).
Answer:
1/4 or .25
Explanation
As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.
-0.25-16*.25=-0.25-4
-0.25-4=-0.25-4
-4.25=-4.25
For the function f(x) = -x-4 the value of f(4) is -8.
The given function is f(x) = -x-4.
We need to find the value of f(4).
To find this we have to replace the x value with 4.
Substitute x=4 in the function:
f(4)=-4-4
f(4)=-8
Hence, the value of f(4) is -8.
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Hannah is driving along a highway at a speed of 60 miles per hour. Answer the questions below regarding the relationship between distance and time. The independent variable, x, represents the______________and the dependent variable is the________________, because the______________depends on the_____________. A function relating these variables is R(x)=______. So R(3) = , meaning after 3 _____________________________________________.
Variable, x, represents the independent variable and the dependent variable is the distance, because the distance depends on the time. A function relating these variables is R(x) = 60x. So R(3) = 180 miles, meaning after 3, a distance of 180 miles was covered.
What are dependent and independent variables?The dependent variable is the outcome or result that is being measured or observed, while the independent variable is the factor that is manipulated or changed to see its effect on the dependent variable.
Therefore, we can say that: the independent variable, x, represents the time and the dependent variable is the distance, because the distance depends on the time.
A function relating these variables is R(x) = 60x, representing the distance covered as a function of time at a constant speed of 60 miles per hour.
So, R(3) = 60 * 3 = 180 miles, meaning after 3 hours of driving, Hannah will have covered a distance of 180 miles.
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The independent variable x represents time in hours and the dependent variable R(x) represents distance in miles. The relationship between these variables is expressed by the function R(x) = 60x, signifying the distance (in miles) Hannah would have driven after x hours. For instance, R(3) equals 180, implying that after 3 hours, Hannah would have driven 180 miles.
Explanation:In this context, the independent variable, x, represents the time in hours and the dependent variable, R(x), is the distance in miles, because the distance depends on the time. A function relating these variables is R(x) = 60x. This is because Hannah's speed is 60 miles per hour, so the formula for distance (Rate x Time) becomes 60 times the number of hours (x). So R(3) equals 180, meaning after 3 hours, Hannah would have driven 180 miles.
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A bicycle is $55 at Walmart. It is 35% off. What is the discount?
Answer:
after a discount of 35% it would be $35.75
Step-by-step explanation:
hope this helped :D have a great day!