Question 5 of 9
(10 2) 310 (2.3)
A. True
B. False

Matching of each addition operation with their correct sum is;

1) -24⁵/₉ + 30⁷/₉ → 6²/₉

2)  45²/₉ + 39³/₉ → 84⁵/₉

3)  28.98 + (-52.22) → -23.24

4) 56.75 + 75.12 → 131.87

1) We want to add the fractions;

-24⁵/₉ + 30⁷/₉

= -221/9 + 277/9

= ¹/₉(-221 + 277)

= 56/9

= 6²/₉

2)  We want to add the fractions;

45²/₉ + 39³/₉

= 407/9 + 354/9

= 761/9

= 84⁵/₉

3)  We want to add the decimals;

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

4) We want to add the decimals;

56.75 + 75.12

= 131.87

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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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Answer:

A

Step-by-step explanation:

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:

use air math they help and show you how to show your work it was a game changer for me

Step-by-step explanation:

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.

Answer: that would make it 62 F.

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.

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

The distance formula used to determine the distance between two points is expressed as;

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

Given the data in the question;

Point 1: (5, -5)

Point 2: (-7, 11)

Plug the given values into the distance formula and simplify.

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

D = √( (-7 - 5)² + (11 - (-5))² )

D = √( (-12)² + (11 + 5)² )

D = √( (-12)² + (16)² )

D = √( 144 + 256 )

D = √( 400 )

D = 20.0

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

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The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]

Therefore , the Original price of the item  was $400.

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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:

.75

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

the divisibility rule of 9 says that if the sum of the numbers of the number you are going to divide by 9 is a multiple of 9 then it is divisible by nine.

1+1+2+2+8+3=17 which is not a multiple of 9.

Therefore it is not divisible by 9.

The correct interpretation of this result is that the researcher is 94% certain that the average amount of time spent by commuters who use the public transit system is between 17.86 to 27.45 minutes.

The confidence interval is the average estimate, plus and minus the values obtained from the research. The two values obtained from the research represent the expected range within which the values can fall between.

In the question above, the range is between 17.86 to 27.45 minutes. The research is sure that the average about of time spent by commuters must fall within these values. The degree of certainty is 94%.

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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

Answer:

108347  (srry for not seeing bestay)

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!

Answer:

-50+26=-24

-41+(-25)=-66

The following strings are propositional formulas under the signature:

(i)both 0-place connectives are formulas

(ii)for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula.

A propositional formula is a particular kind of syntactic formula that is well-formed and has a truth value in propositional logic. A propositional formula yields a distinct truth value when all of the variables' values are known. A propositional formula may alternatively be referred to as a phrase, a propositional expression, or a sentential formula.

Simple statements like "five is greater than three" or propositional variables like p and q are combined to build a propositional formula using connectives or logical operators like NOT, AND, OR, or IMPLIES.

The term "proposition" is frequently used in mathematics to refer to a propositional formula, but in reality, a propositional formula is a formal expression that signifies a proposition.

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The scalar product between two vectors involves the cosine function of the angle between the lines of action of the two vectors.

The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more). The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. Geometrically, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.

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5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

We are given that:

The relationship between x and y

We need to find  the dog food for the 25-pound adult dog

The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.

x = k y

k = x / y

k = 10 / 1/6

k = 10 (6)

k = 60

Let the dog food recommended for the 25-pound adult dog be y.

Weight of the dog = x = 25 pounds

Cups of dog food recommended = y

k = 60

Using the equation for the given relationship:

25 = 60 × y

y = 25 / 60

y = 5 / 12

Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

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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:

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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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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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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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.

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 statements and reasons to find x in a two column proof are as detailed below.

From the given image, we can carry out the two column proof to find the value of x as;

Statement 1; ∠QWT and ∠TWX are complementary

Reason 1; Given

Statement 2; m∠QWT + m∠TWX = 90°

Reason 2; Definition of Complementary angles

Statement 3; 2x + x + 6

Reason 3; Substitution

Statement 4; 3x + 6 = 90°

Reason 4; Addition

Statement 5; 3x = 84

Reason 5; Subtraction

Statement 6; x = 28

Reason 6; Division

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The line we want is given by the vector equation

L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)

L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k

As parametric equations, we write

x(t) = 4t + 5

y(t) = 3t + 2.5

z(t) = -t + 3.1