What is an equation of the line that passes through the point (−2,7) and is perpendicular to the line x−4y=24?

Certain polynomials with integer coefficients fall into the category of substantially prime polynomials in q[x] if and only if the ideal they create in z[x] contains a (nonzero) integer.

A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

Calculations:

Let d=degP.

Then the Q-vector space V=Q[X]/(P) is d-dimensional.

The residue classes modulo (P) of X2,X3,X5,… are linearly dependent over Q, so there exist a2,a3,a5,…∈Z not all zero such that a2X2+a3X3+a5X5+⋯∈(P).

This shows that there is Q∈Z[X], Q≠0 such that PQ=a2X2+a3X3+a5X5+⋯.

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Paulina is most likely assessing "Test-retest reliability", while Montrose is most likely assessing "Parallel forms reliability."

The consistency with which a method attempts to measure something is indicated by its reliability. The same method applied to the same sample in the same conditions should yield the same results. If not, the measurement method may be unreliable.

Some key points related to the reliability are-

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To find the average rate of speed per miles an hour, do the following equation: miles ÷ hour = miles per hour.

So, we divide 3,000 ÷ 7 = 428.5714285714 but we can make round it to 429.

The airliners average rate of speed in miles per hour is 429 miles per hour.

The value of probability density function in the interval between 2 and 10 is 0.125.

A probability density function (PDF), also referred to as the density of a continuous random variable (CRV), is a mathematical function whose value at any particular sample (or point) in the sample space (the range of possible values that the RCV can take), can be interpreted as providing a relative likelihood that the RCRV's value would be close to that sample. Since there are an infinite number of possible values to begin with, the probability per unit length for a continuous random variable to take on any particular value is 0, but the value of the PDF at two different samples can be used to infer, in any given draw of the random variable, even though the absolute likelihood is zero.

Given the assembly time for a product is uniformly distributed between 2 to 10 minutes.

The Probability density function in the internal between 2&10

pdf=1/10-2      = 1/8pdf = 0.125

The probability density function in the interval between 2 and 10 is 0.125.

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Answer: It is m<BAE or measure of angle BAE

Step-by-step explanation:

1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it

2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer

Answer:

Assuming you meant division.

26 R16

Step-by-step explanation:

[tex]Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16[/tex]

➲ Hope this helps.

Answer:

26 R16

Step-by-step explanation:

Suni needs to deposit $12,304.45 semiannually to have $100,000 to repay the loan at 0.9% interest.

Periodic payments are equal payments made periodically to settle a mortgage loan.

The periodic payment for a loan can be computed using an online finance calculator.

N (# of periods) = 8 times (4 years x 2)

I/Y (Interest per year) = 0.9%

PV (Present Value) = $0

FV (Future Value) = $100,000

Results:

PMT = $12,304.45

Sum of all periodic payments = $98,435.60 ($12,304.45 x 8)

Total Interest $-1,564.40

Thus, the periodic deposit that Suni needs to make semiannually to have $100,000 to repay the loan at 0.9% interest is  $12,304.45.

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Solving all the linear equation The value of CD is 6.

An algebraic equation known as a linear equation has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Now According to the question

BC = x+1

CD = 14x - 10

BD = 6

by this we can say that

BC + CD = BD

no by substitution method putting values of BC , CD and BD

(x + 1) + (14x - 10) = 6

15x - 9 =6

15x = 15

x = 1

now again by substitution method putting value of x in to 14x-10 we get

CD = 14(1)-10

CD = 4

Hence the value of CD = 4

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The answer is u = (10, 5)

Step-by-step explanation:

Imagine u = (x, y)

10 = x/2 + 10/2

10 = x/2 + 5

20 = x + 10

x = 20 - 10

x = 10

u = (10, y)

6 = y/2 + 7/2

6 = y/2 + 3.5

12 = y + 7

y = 5

u = (x, 5)

Thus, u = (10, 5)

Answer:

.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 30.8. this is because .7 + .1 = .8 . Now just add that to the 30 and you get 30.8

Answer:

30.8

Step-by-step explanation:

All you have to do is take the 0.1 and add it to the 30.7 so you would add it to the .7 which gives you 8 and now just put the 30 back with your decimal

Answer:

33s + 8y + 23

Step-by-step explanation:

➟ 30 + 82s - 7 + 8y - 49s

Rearrange

➟ 30 - 7 + 82s - 49s + 8y

Calculate

➟ 23 + 33s + 8y

Answer:

33s + 8y + 23

Step-by-step explanation:

The equation will be,

→ 30 + 82s - 7 + 8y - 49s

Now the simplest form will be,

→ 30 + 82s - 7 + 8y - 49s

→ (82s - 49s) + 8y + (30 - 7)

→ 33s + 8y + 23

Thus, the answer is 33s + 8y + 23.

When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

Given,

The sum of the squared deviation scores SS= 20

Population of n= 5

Then the variance = SS/n

Substitute the values in the equation

The variance = [tex]\frac{20}{5}[/tex]

=4

Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4

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Applying the segment addition postulate, the length of EF is: b. 11.

The segment addition postulate states that points D, E, and F are collinear, therefore:

DE + EF = DF

Given the following:

DE = x + 22

EF = x + 23

DF = 21

Plug in the values

x + 22 + x + 23 = 21 [segment addition postulate]

Add like terms

2x + 45 = 21

2x + 45 - 45 = 21 - 45

2x = 21 - 45

2x = -24

2x/2 = -24/2

x = -12

EF = x + 23

Plug in the value of x

EF = -12 + 23

EF = 11 units

Therefore, applying the segment addition postulate, the length of EF is: b. 11.

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The distance between the cars changes by 60.42mph.

Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.

Calculations:

[tex]d=\sqrt{80^{2}+50^{2} } \\[/tex]

d=94.34

1st car -- 40mph/hr

2nd car-- 50 mph/hr

The positions of cars at 4pm

Distance travelled by 1st car = 80m

Distance travelled by 2nd car = 50m

[tex]d^{2}=a^{2} +b^{2}[/tex]

2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40

dd/dt=(2500+3200)(94.34)  =60.419

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The rotational speed is mathematically given as

Rs= 1175.16km/hr

Generally, the equation for The radial distance from Earth's axis at 40° latitude is  mathematically given as

D = Re * cos 40

D= 6380km x 0.76604

D= 4487 km

Generally, the equation for total distance covered in one rotation  is  mathematically given as

T= Circumference of that latitude

T= 2 π r

T= 2 x 22/7 x 4487

T= 28,204 km

In conclusion, the equation for the rotational speed of a person at 40∘ latitudes  is  mathematically given as

Rs = Distance / Time

Rs= 28,204km/24hr

Rs= 1175.16km/hr

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CQ

to find earth's equatorial rotation speed, we should divide the circumference of earth by a 24 hours (1 day). to find the rotation speed at any other latitude, you need the following fact: the radial distance from earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (hint: when using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) the radius of earth is 6380 kilometers.

Find the rotation speed for a person at latitude 40∘N.

Express your answer in kilometers per hour using three significant figures.

Answer:

A

Step-by-step explanation:

Answer:

-50+26=-24

-41+(-25)=-66

Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.

We know that:

$ 1 = NRs. 120.92

We are also given that a person needs $ 4500 to visit foreign countries.

Also, for the conversion, bank charges commission as 2 %

Now, $ 4500 in NRs. will be calculated by multiplying 120.92 with $ 4500.

$ 4500 = NRs. 120.92 × 4500

$ 4500 = NRs. 544,140

Now the commission charged by the bank will be:

2 % of 544,140

Commission = 2 / 100 × 544,140

Commission = NRs. 10,882.8

So, the amount the person will require to get $ 4500 will be = NRs. 544,140 + 10,882.8

= NRs. 555,022.8

Therefore, Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.

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The expressions that have numeric value of less than 2 when x = 5 are:

A. x to the power of zero divided by 4.

C. (50 divided by x to the power of 2) to the power of zero

E. x to the power of zero divided by x to the power of 2

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For item a, the expression is:

x^0/4 = 1/4 < 2.

For item b, the expression is:

x/(7^0) = x.

When x = 5, the expression has a numeric value of 5 > 2.

For item c, the expression is:

(50/x^2)^0 = 1 < 2.

For item d, the expression is:

2(10/x)^0 = 2 x 1 = 2 = 2.

For item e, the expression is:

x^0/x^2 = 1/x^2.

When x = 5, the expression has a numeric value of 1/25 < 2.

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The minimum IQ score for the top 10% of the population is 0.0179.

Standard deviation:

Standard deviation means the root of the variance in the given grouped or ungrouped data.

The standardized value is the value decreased by the mean, divided by the standard deviation:

z =   (x- μ) / σ

where

x: the observation (a specific value that you are calculating the z-score for).

Mu(μ): the mean.

Sigma(σ): the standard deviation.

Given,

The human IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15.

Here we need to find the minimum IQ score for the top 10% of the population.

We know that,

x = 131.5

μ = 200

σ = 15

So, when we apply the values on the formula,

Then we get,

=> z = 131.5 - 100 /15

=> z = 2 .10

Determine the corresponding probability using table A-2:

=> P(Z>2.10) = 1 − P(Z<2.10)

=> 1 − 0.9821

=> 0.0179

Therefore, the minimum IQ score for the top 10% of the population is 0.0179.

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Answer:

the number which has no factors is known as prime number

Answer: numbers that have only 1 and itself as factors.

Step-by-step explanation:

Answer:

The highest/greatest common factor in math is the highest integer out of two numbers that share the same or a very similar set of factors.

E.G

12: 1, 2, 3, 4, 6, 12

6: 1, 2, 3, 6

➲ Hope this helps!

Transformations are used to move a function from one position to another. The function of g(x) is g(x) = | x/6|.

Given that:

f(x) = |x|

The rule of a horizontal stretch by factor k is:

(x, y) → (x/k,y)

This means that:

g(x) = f(x/k)

In this case, k = 6

So, we have:

g(x) = f(x/6)

Calculate f(x/6)

f(x/5) = |x/6|

Hence, the function of g(x) is

g(x) = |x/6|.

A function is defined as a relation between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input.

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Answer:

both are rational numbers

Step-by-step explanation:

Answer:

both are irrational numbers.

Step-by-step explanation:

Answer:

94800

Step-by-step explanation:

Answer:

94,800

Step-by-step explanation:

Well semimonthly means 2 times a month

If you multiply 3,850 by 2 you get 7,900

Then simply multiply 7,900 by 12 (12 months in a year) and you get 94,800

The parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3) are x=2+5t, y=4+5t and z=2+3t.

The same values may be expressed by a variety of alternative parameterizations because parametric representations are typically non-unique (see the "Examples in two dimensions" section below).

In addition to curves and surfaces, higher dimensional algebraic varieties can also be described by parametric equations; in this case, the number of parameters is equal to the dimension of the manifold or variety, and the number of equations is equal to the dimension of the space in which the manifold or variety is taken into account (for curves the dimension is one and one parameter is used, for surfaces dimension two and two parameters, etc.).

In kinematics, where the motion of an object is represented by equations using time as the parameter, parametric equations are frequently utilized.

Calculations:

Parametric equation of line PQ is

x=2+5t,y=4+5t and z=2+3t

parametric equation of line AB is

x=x1+tx2, y=y1+ty2 and z=z1+tz2

Here as we have P(2,4,2) and Q(5,5,3)as two points,

parametric equation of line

PQ is x=2+5t, y=4+5t and z=2+3t

i.e.

x=2+5t, y=4+5t and z=2+3t

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Answer:

13, 14

Step-by-step explanation:

(x) + (x + 1) = 27

2x + 1 = 27

    - 1    - 1

2x = 26

2x/2 = 26/2

x = 13

x + 1 = 14

smaller page number: 13

larger page number: 14

A student says that the function represented by the rule [tex]y = x^{2} -1[/tex] is ,

Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.

Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

Consider function,

[tex]y = x^{2} -1[/tex]

For x = 0 and y = -1

[tex]y = x^{2} -1[/tex]

We can substitute x = 0 and y = -1 values,

-1 = [tex]0^{2}[/tex] - 1

-1 = 0-1

-1 = -1

Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.

For x = 1 and y = 1

[tex]y = x^{2} -1[/tex]

We can substitute x = 1 and y = 1 values,

[tex]y = x^{2} -1[/tex]

1 = [tex]1^{2}[/tex] -1

1 = 1-1

1  ≠ 0

Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

For x = 2 and y = 3

[tex]y = x^{2} -1[/tex]

We can substitute x = 2 and y = 3 values,

[tex]y = x^{2} -1[/tex]

3 = [tex]2^{2}[/tex] - 1

3 = 4 -1

3 = 3

Then the x = 2 and y = 3 represented by rule [tex]y = x^{2} -1[/tex] is correct .

For x = 3 and y = 5

[tex]y = x^{2} -1[/tex]

We can substitute x = 3 and y = 5 values,

[tex]y = x^{2} -1[/tex]

5 = [tex]3^{2}[/tex] - 1

5 = 9 - 1

5 ≠ 8

Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

For x = 4 and y = 7

[tex]y = x^{2} -1[/tex]

We can substitute x = 4 and y = 7 values,

[tex]y = x^{2} -1[/tex]

7 = [tex]4^{2}[/tex] - 1

7 = 16 - 1

7 ≠ 15

Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

Therefore,

The function represented by the rule [tex]y = x^{2} -1[/tex] is ,

x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.

x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.

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