Answer:
not undefined- quotient is -8, an integer
Step-by-step explanation:
The city of Raleigh has 11000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 550 randomly selected registered voters was conducted. 308 said they'd vote for Brown, 214 said they'd vote for Feliz, and 28 were undecided. Describe the population the surveyors are really interested in. Describe the population actually represented by this survey. Group of answer choices The 308 voters who said they'd vote for Brown, All registered voters with telephones in Raleigh. All citizens of Raleigh, All registered voters with telephones in Raleigh. The 550 voters surveyed, All registered voters in Raleigh. All registered voters in Raleigh, All registered voters with telephones in Raleigh
The population the surveyors are really interested in are
The population the surveyors are really interested in are " All registered voters in Raleigh" and the population of the city actually represented by this survey are "All the registered voters with telephones in Raleigh".
Total registered voters \(=11000\).
A telephone poll of \(550\) randomly selected registered voters was conducted.
Number of people who said to vote for Brown = 308 .
Number of people who said to vote for Feliz = 214 .
Here, All registered voters in Raleigh describe the population the surveyors are really interested in.
And, the population of the city actually represented by this survey are all the registered voters with telephones in Raleigh.
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Rearrange the formula
w = 5(x/2 - y)
to make x the subject
(the x/2 is a faction not divide)
Answer:
x= (2w + 10y)/5 or \(\frac{ 2w + 10y}{5}\)
Step-by-step explanation:
w = 5(x/2 - y)
w/5 = x/2-y
w/5 + y =x/2
( 2w/5 )+2y=x
x= (2w + 10y)/5
When the polynomial P(x) = x3
+ 3x2
– 2Ax + 3,
where A is constant, is divided by x2
+ 1 and
remainder is –5x, then A is
Since this equation must hold for all values of x, we can substitute x = i and x = -i to get two equations: 2A + 3i = -5i=> 2A - 3i = 5i=> A = -3/2Therefore, A is equal to -3/2.
what are polynomials?A polynomial is a mathematical statement with coefficients and uncertainty that uses only additions, subtractions, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to an expression in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression having variables and coefficients. Only addition, subtraction, multiplication, and non-negative integer exponents are permitted in expressions. The word for these expressions is polynomials.
To find A, we need to perform polynomial long division of P(x) by \(x^2 + 1\)and get the remainder equal to -5x.
x
--------------
\(x^2 + 1 | x^3 + 3x^2 - 2Ax + 3\)
\(x^3 + 0x^2 + x\)
--------------
\(3x^2 - 2Ax\)
\(3x^2 + 0x - 3i\)
------------
\(2Ax + 3i\)
\(2Ax + 0x - 2iA\)
-----------
\(3i + 2iA\)
The remainder of the division is (2A + 3i) when the divisor is \(x^2 + 1\). We know that this remainder is equal to -5x, so we can set up the equation:
2A + 3i = -5x
Since this equation must hold for all values of x, we can substitute x = i and x = -i to get two equations:
2A + 3i = -5i
2A - 3i = 5i
A = -3/2
Therefore, A is equal to -3/2.
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PLEASE HELP ME THIS IS DUE In 30 MINUTES !!!
Answer:
This is the answer I got.
Answer:
B is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Raven graphed the function f( x) = −x2+8x . Which of the following is the vertex of Raven’s graph?
a)(4, 16)
b)(-4, 16)
c)(4, -16)
d)(-4, -16)
Answer:
a) (4,16)
Step-by-step explanation:
I believe it's this one. I have the same exact question :))
Evaluate the following problem when
p = -2 and q = -3
4p + 2
Answer:
-6
Step-by-step explanation:
4p+2
4(-2)+2
-8+2
-6
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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I've forgotten how to turn a fraction into a decimal...could you help?
To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.
Find the length of the following parametric curve: x=e^t + e^-t
, y= 5 - 2t 0<= t <= 1
The length of the curve is \(e-e^-1.\)
The length of the parametric curve is given by the integral formula:
\(\int_{t_{1}}^{t_{2}}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}dt\)
The given parametric curve is: \(x=e^t + e^-t, y= 5 - 2t 0 < = t < = 1\)
The first derivative of x wrt t is:
\(\frac{dx}{dt} = e^t-e^{-t}\)
The first derivative of y wrt t is:
\(\frac{dy}{dt} = -2\)
The length of the curve is given by the following integral:
\({\int_{0}^{1}}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}dt\\=\int_{0}^{1}\sqrt{(e^t-e^{-t})^{2}+(-2)^{2}}dt\\=\int_{0}^{1}\sqrt{e^{2t}-2+e^{-2t}+4}dt\\=\int_{0}^{1}\sqrt{(e^{t}+e^{-t})^{2}}dt\\=\int_{0}^{1}(e^{t}+e^{-t})dt\\=[e^{t}-e^{-t}]_{0}^{1}\\=(e-e^{-1})-(1-1)= e- e^{-1}\)
Therefore, the length of the curve is \(e-e^-1.\)
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classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
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The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
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subtract polynomials 7.8 X -3.4 Y plus Z and -9.2 X +4.8 Y -2.1 Z then place the answer in the proper location on the grid right answer in XYZ order and include the tenths place
Answer:
17x - 8.2y + 3.1zStep-by-step explanation:
Given
7.8x -3.4y + z subtract-9.2x + 4.8y - 2.1zSolution
7.8x -3.4y + z - (-9.2x + 4.8y - 2.1z) =7.8x -3.4y + z + 9.2x - 4.8y + 2.1z =x(7.8 + 9.2) -y(3.4 + 4.8) +z(1 + 2.1) =17x - 8.2y + 3.1zWhat are the x-intercept and vertex of this quadratic function? Write each feature as an ordered pair: (a,b). The x-intercept of function g is The vertex of function g is
The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
How to determine the x-intercept?The function is given as:
g(x) = -5(x - 3)^2
Set g(x) to 0, to determine the x-intercept.
-5(x - 3)^2 = 0
Divide through by -5
(x - 3)^2 = 0
Take the square root of both sides
x - 3 = 0
Add 3 to both sides
x = 3
Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)
How to determine the vertex?The function is given as:
g(x) = -5(x - 3)^2
A quadratic function is represented as:
g(x) = a(x - h)^2 + k
Where, the vertex is
Vertex = (h, k)
By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have
(h, k) = (3, 0)
Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)
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How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?
Which is the simplified form of the expression
3
2
21 12
x y12
24
Answer:
the second option is solution
Step-by-step explanation:
exponents inside parentheses get multiplied by exponents outside them
so first: x^-9y^6 divided by x^12y^18
next, when dividing like terms, keep variable and subtract their exponents
-9 - 12 = -21
6 - 18 = -12
Don't leave negative exponents as answer, simplify by putting them into the denominator (where the exponents will now become positive) with 1 as numerator
800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6
Write the standard form of the number shown above.
Answer:
823,546,580,786
Step-by-step explanation:
If you look at the place values, that will help you determine the standard form. Hope this helps!
you are testing h_0: mu=0 against h_a: mu > 0 based on an srs of 20 observations from a normal population. what values of the zstatistic are statistically significant at the alpha=0.005 level?
The values of the z-statistic that are statistically significant at the alpha=0.005 level are greater than 2.576.
To determine the values of the z-statistic that are statistically significant at the alpha=0.005 level for testing the hypothesis H₀: μ = 0 against Hₐ: μ > 0, we need to find the critical value from the standard normal distribution.
The critical value corresponds to the z-score that marks the boundary of the rejection region. In this case, since the alternative hypothesis is one-sided (μ > 0), we are interested in the right-tail of the distribution.
The alpha level of 0.005 indicates that we want to reject the null hypothesis at a significance level of 0.005, which corresponds to a 0.5% area in the right tail of the standard normal distribution.
Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to an area of 0.005 in the right tail. The z-score that corresponds to an area of 0.005 is approximately 2.576.
Thus, the values of the z-statistic that are statistically significant at the alpha=0.005 level are greater than 2.576.
If the calculated z-statistic for the sample falls in the rejection region (greater than 2.576), we can reject the null hypothesis H₀: μ = 0 in favor of the alternative hypothesis Hₐ: μ > 0 at the alpha=0.005 level of significance.
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the scaling assumptions underlying a question determine which measure is appropriate. a. descriptive b. inference c. difference d. association
The scaling assumptions underlying a question determine which descriptive measure is appropriate.
The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.
A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.
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A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio? 0.011 0.089 0.989 1.011
Using exponential function concepts, it is found that the common ratio would be given by 0.989.
What is an exponential function?A decaying exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.1 - r, also as a decimal, is the common ratio.In this problem, the amount decays 1.1% a year, hence:
r = 0.011.1 - r = 1 - 0.011 = 0.989.The common ratio would be given by 0.989.
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Answer: C
Step-by-step explanation:
Trust
Find the area of the figure. Round to the nearest hundredth when necessary.
Answer:787.5
Step-by-step explanation:
As attached
5 million and 300 in standard form
PLEASE HELP ME!!!
Trevor asks his bank for a loan of $22000 to add a guest
room to his house. His bank offers financing at 7.25%
compounded monthly, for a term of 5 years, payable
monthly. What is Trevor's monthly payment?
Answer:
$526.3 is the monthly payment
Step-by-step explanation:
We use the compound interest formula to calculate the total amount payable on the loan.
Mathematically;
A = P(1 + r/n)^nt
Where A is the amount to pay
P is amount borrowed = 22,000
r is interest rate = 7.25/100 = 0.0725
t is years = 5 years
n is the number of times we compound lee year = 12 times since it’s monthly
Substituting these values, we have
A = 22,000(1 + 0.0725/12)^(12)(5)
A = 22,000(1 + 0.006041666666667)^60
A = $31,578
Monthly payment is total amount/ number of months
There are sixty months in 5 years
So monthly payment is 31578/60 = $526.3
Select the correct answer from each drop-down menu.
1. If , _____ then ∆ABC and ∆DEF are congruent by the ASA criterion.
A.) AB=DE
B.)CA=FD
C.)Angle B is congruent to angle E
D.)Angle A is congruent to angle D
2. If , ______ then ∆ABC and ∆DEF are congruent by the SAS criterion.
A.) AB=DE
B.)CA=FD
C.)Angle B is congruent to angle E
D.)Angle A is congruent to angle D
3. ∆ABC and ∆DEF are congruent if
A.) Angle A is congruent to angle D
B.) AB=DE
C.) AB=DF
ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.
What is congruent ?
In geometry, congruent refers to the condition where two or more figures have the same size and shape. Congruent figures have the same dimensions, angles, and proportions. Two figures are congruent if they can be superimposed exactly on each.
1) If, C.) Angle B is congruent to angle E then ∆ABC and ∆DEF are congruent by the ASA criterion.
2) If, D.) Angle A is congruent to angle D then ∆ABC and ∆DEF are congruent by the SAS criterion.
3) ∆ABC and ∆DEF are congruent if B.) AB=DE
ASA criterion: If in two triangles, two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.
ASA: ∆ABC and ∆DEF are congruent if angle B is congruent to angle E. SAS: ∆ABC and ∆DEF are congruent if angle A is congruent to angle D and AB=DE.
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A sandwich store charges $20 to have 3 subs delivered and $26 to have 4 subs delivered. If the total charge is $56, how many subs are in the order?
The number of subs in the order is 8 or 9
how many subs are in the order?Let's call the number of subs in the order "x".
Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.
And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.
So the cost per sub is between $6.50 and $6.67.
If the total cost is $56, then the cost per sub must be $56 / x.
So:
x = 56/6.5 or x = 56/6.67
Evalutate
x = 8.6 or x = 8.4
Approximate
x = 9 or 8
Hence, the subs is 8 to 9
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Someone pls help me
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
what is integral of 1 x 2?
The integral of 1 x^2 is a mathematical concept used to find the area under the curve of the function f(x) = x^2, and is equal to (1/3)x^3 + C, where C is an arbitrary constant of integration.
An integral is a mathematical concept used to find the area under a curve, or the accumulation of quantities that change continuously over time. The indefinite integral of x^2 can be found using basic integration rules and techniques.
In simple terms, an integral can be thought of as the sum of infinitely many small rectangles, each with a height equal to the value of a function at a certain point and a width equal to a small change in the independent variable. The integral of 1 x^2 refers to the indefinite integral of the function f(x) = x^2, where x is the independent variable. The purpose of finding the indefinite integral is to determine the general form of the function whose derivative is the original function. The result of indefinite integral of x^2 is: ∫ x^2 dx = (1/3)x^3 + C, where C is an arbitrary constant of integration. So, when finding the indefinite integral of 1 x^2, you can see that it represents the area under the curve of the function f(x) = x^2. The constant of integration, C, can be used to represent the fact that the indefinite integral of a function is not unique and depends on the choice of the lower and upper limits.
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Alfreda made a container shaped like a triangular prism, as shown in the diagram.
A
11 in.
4 in.
What is the volume of the container in cubic Inches?
Answer: 24
Step-by-step explanation:
Using figure 3 at the right, AB II CD and t is not perpendicular to them, which pair of angles are not congruent?
Using figure 3 above, angles 5 and 6 from a linear pair, if m∠6 = 85, find m∠5
Answer:
∠5 = 95°
Step-by-step explanation:
Where the transversal crosses parallel lines at some angle not a right angle, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute angles are (obviously) not congruent with the acute angles. Any acute angle is supplementary to any obtuse angle.
Since angles 5 and 6 are a linear pair, the angle relationships of the parallel lines are irrelevant. A linear pair of angles is supplementary.
∠6 = 85° . . . . is given
∠5 is shown as obtuse, so its measure is ...
∠5 = 180° -85° = 95°
_____
Additional comment
85° angles: 2, 3, 6, 7
95° angles: 1, 4, 5, 8
Any angle from the 85° angle list is not congruent with any angle from the 95° angle list. For example, angles 2 and 5 are not congruent.
i need help with this equation ASAP pls: If you know that log5 x – logs 12 = 0, which of the following is false?
a. log5 (x – 12) = 0
b. logs (1)
= 0
c. log5 x = logs 12
d. x = 12
Answer:
the second is false
Step-by-step explanation:
because oe would match unlike 2
Ex. Distance rate Time An airplane fies 200 miles into a 30mph headwind in the same amount of time it can fly 300mi with a. 30mph tailrind what is the speed of the plane with no wind?
The speed of the plane with no wind is 150 mph.
Let's call the speed of the plane with no wind "x".
When the plane is flying into a 30mph headwind, its effective speed is reduced by 30mph. So the plane's speed relative to the ground is x - 30mph.
Similarly, when the plane is flying with a 30mph tailwind, its effective speed is increased by 30mph. So the plane's speed relative to the ground is x + 30mph.
Let's use the formula: distance = rate × time, where "distance" is the same in both cases since the plane covers 200 miles and 300 miles respectively. We can set up two equations
200 = (x - 30) × t
300 = (x + 30) × t
where "t" is the time it takes the plane to cover each distance.
We can solve for "t" in the first equation
t = 200 / (x - 30)
Then we can substitute this expression for "t" into the second equation
300 = (x + 30) × (200 / (x - 30))
Simplifying this equation, we get
300(x - 30) = 200(x + 30)
Expanding both sides, we get
300x - 9000 = 200x + 6000
Subtracting 200x from both sides and adding 9000 to both sides, we get
100x = 15000
Dividing both sides by 100, we get
x = 150 mph
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