11. Put brackets into each of the following expressions to make it correct:

(a) 3+9/5-2x5=20 ​

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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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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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:

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

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:

both are rational numbers

Step-by-step explanation:

Answer:

both are irrational numbers.

Step-by-step explanation:

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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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:

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.

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:

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

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

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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Answer:

108347  (srry for not seeing bestay)

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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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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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 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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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.

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:

A

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

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:

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

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:

.75

Step-by-step explanation:

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)

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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