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Answer:

[tex]\sf \dfrac{1}{2} \pi \;\overline{TM}[/tex]

Step-by-step explanation:

The angle at the circumference in a semicircle is a right angle.

Therefore, as  [tex]\sf \overline{OS}[/tex]  is the diameter of circle T, and point Q is on the circumference of the circle:

Therefore, if m∠MTN = m∠SQO then:

Angles around a point sum to 360°.

As 90° is one quarter of 360°, the measure of arc MN is one quarter of the circumference of circle T.

The circumference of a circle is 2πr, where r is the radius.

Therefore:

[tex]m\sf \overset{\frown}{MN}=\dfrac{2 \pi r}{4}=\dfrac{1}{2} \pi r=\dfrac{1}{2} \pi \;\overline{TM}[/tex]

Rational number which does the square root of 30 fall is between 5 and 5.5.

A rational number is any number that can be expressed as a ratio (or fraction) of two integers. p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.

Given,

25 and 36, which are the squares of 5 and 6, respectively, are the perfect squares that are most similar to 30.

Therefore, the square root of 30 will lie between 5 and 6. Additionally, the square root of 30 will be between 5 and 5.5 because it is closer to 25 than it is to 36.

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Answer:

The answer you are looking for would be 11 7/2.

Step-by-step explanation:

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ANSWER:

Loan A requires Bryce to pay less by $1,133.52

EXPLANATION:

For bank A, we're given;

Length of loan in years(t) = 6 years

Annual interest rate(r) = 8% = 8/100 = 0.08

Loan payment(PMT) = $497.94

Number of compounds per year(n) = 12

We can go ahead and determine the loan amount using the below formula as seen below;

So we can see that Bryce will pay back;

For bank B, we're given;

Length of loan in years(t) = 10 years

Annual interest rate(r) = 5.5% = 5.5/100 = 0.055

Loan payment(PMT) = $308.21

Number of compounds per year(n) = 12

We can go ahead and determine the loan amount using the below formula as seen below;

So we can see that Bryce will pay back;

We can see that Bryce will pay back $35,851.68 for Loan A and $36,985.20 for Loan B, so Loan A requires Bryce to pay less and by $1,133.52

The value of x = 1,  y=7

From the question, we have

4x + 5y = 39 .............(i)

3x – 2y = − 11 ...........(ii)

multiply equation (i) by 2, we get

8x + 10y = 78 .............(iii)

multiply equation (ii) by 5, we get

15x – 10y = −55 .............(iv)

adding equation (iii) and equation (iv), we get

23x = 23

x = 1

substituting the value in equation (iii),  we get

y = 7

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

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we have that

50%=50/100=0.50

Multiply the total tickets sold by the factor of 0.50

so

94*0.50=47 tickets

EXPLANATION

Let's see the facts:

Call for---> 3.5 lbs of stew meat

Refrigerator -------> 1.25 lbs stew meat

He would buy:

Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat

The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).

A monomial is an expression with a single term. A binomial is an expression with 2 terms.

Looking at the given question,

a. 3y is a single term. Thus, it is a monomial

b. - 9 + h. The expression has two terms. It means that it is a binomial

c. Wr + 5wr is also a binomial

d. -7agh is a monomial

e. 2 is a monomial

f. k + 12 is a binomial

Answer + Explanation:

Since you just flip the fraction if you have a negative power, you get

1.) 6 to the power of -1 = 1/6

2.) 6 to the power of -2 = 1/36

3.) 6 to the power of -3 = 1/216

4.) 6 to the power of -4 = 1/1296

(a,b) = coordinate of point A , (2c,d) = coordinate of point C , slope of AD and BC = [tex]\frac{b}{a-c}[/tex]

A set of values ​​representing the location of a point on the coordinate plane using horizontal and vertical distances from two reference axes. Often expressed as (x,y), where the x value and

As per the midpoint formula

we have points P(x1,y1)  and Q (x2, y2)

Now  mid point of line PQ is

[tex]x = \frac{x1+x2}{2} , y =\frac{y1+y2}{2}[/tex]

Here,  the mid point of line joining  R(0,0) and S(2a,2b)

By midpoint formula, coordinates of point A

[tex]x = \frac{0 + 2a}{2} =a , y = \frac{0+2b}{2} = b[/tex]

so

coordinate of point A is (a,b)

[tex]Also, C. is \\ the midpoint of line joining \\T (2c,2d) and V(2c,0)[/tex]

coordinate of point C is given by

[tex]x = \frac{2c+2c}{2} = 2c, y = \frac{2d+0}{2} = d[/tex]

so we have

(2c,d) = coordinate of point C

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P(x1,y1)  and Q (x2,y2)

then the slope of PQ =[tex]\frac{y2-y1}{x2-x1}[/tex]

hence slope of AD= [tex]\frac{0-b}{c-a}[/tex]

                                =[tex]\frac{b}{a-c}[/tex]

and slope of BC  =[tex]\frac{d-(b+d)}{2c-(a+c)} \\[/tex]

                           =[tex]\frac{b}{a-c}[/tex]

both of the ,slope of AD and slope of BC are same  = [tex]\frac{b}{a-c}[/tex]

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Answer:

The tank is currently 40% (40 percent) full.

Step-by-step explanation:

We can find this by dividing the current fullness (648 gal) by the full tank (1620 gal).

648 / 1620 = 0.4

0.4 = 40%

How do we know to divide 648 by 1620 and not the other way around?

We know this because that we want to know what percent of the full tank is currently full. It's something that you just need to get used to, once you do enough of these types of problems, I'm sure you'll get the hang of it!

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The total amount the 560 members pay in 2013 will be $96,120.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The yearly enrollment expense in 2013 is $198 for every grown-up and $75 for every kid.

Adult = 440 members

Children = 120 members

Then the total amount the 560 members pay in 2013 will be given as,

Total amount = 440 x 198 + 120 x 75

Simplify the expression, then we have

Total amount = 440 x $198 + 120 x $75

Total amount = $87,120 + $9,000

Total amount = $96,120

The total amount the 560 members pay in 2013 will be $96,120.

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The complete question is given below.

The annual membership fee in 2013 is $198 for each adult and $75 for each child.

Adult = 440 members

Children = 120 members

Calculate the total amount the 560 members pay in 2013.

Answer:

= -6

Step-by-step explanation:

Substitute it in:

3(3-5)

Calculate the difference:

3(-2)

Then multiply to get an answer:

= -6

Answer:

3a² + 6ax + 5a

Explanation:

Given the following function

g(x) = 3x² - 5x

Determine g(x+a)

g(x+a) = 3(x+a)² - 5(x+a)

Expand the result

g(x+a) = 3(x² + 2ax + a²) - (5x - 5a)

g(x+a) = 3x² + 6ax + 3a² - 5x + 5a

Determine g(x + a) - g(x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - (3x² - 5x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - 3x² + 5x

Collect the like terms

g(x + a) - g(x) = 3x² - 3x² - 5x + 5x + 6ax + 3a² + + 5a

g(x + a) - g(x) = 6ax + 3a² + 5a

g(x + a) - g(x) = 3a² + 6ax + 5a

Hence the required result for the function g(x + a) - g(x) is 3a² + 6ax + 5a

The simplification of the given expression is 0.3404

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

WE have given the expression as;

[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]

Now solving;

[tex]\dfrac{(438)^{3} \sqrt{0.056} }{(388)^{4} }\\\\\\\dfrac{84027784 \times 0.23}{58411072 }\\[/tex]

= 0.3404

Therefore, the simplification of the given expression is 0.3404

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Answer:

5 is the number

Step-by-step explanation:

2x + 12 = 22

2x+12-12 = 22-12

2x = 10

2x÷2 = 10÷2

x=5

Plug x back in the equation and check the answer.

2(5)+12 = 22

10+12 = 22

22=22

It checks out!

Question: What is the equation of the line in standard form?

The standard form for a line is :

y = mx + b

where m is the slope and b is the intercept with y axis.

First, we are going to find the slope, choosing any two points on the line. For example (X1, Y1) = (-4,0) and (X2, Y2) = (0,3). Then, by definition the slope is:

so, our new line equation would be:

that is:

Now, we are going to find the y-intercept. This is also accomplished by picking two points on the line and solving for b. For example (X2, Y2) = (0,3). So, for above equation we have:

then

Then, we have b = 3.

Now, replacing the values of the slope and the intercept previously found, we obtain the equation of the line :

that is

Answer: The symbol used by mathematicians to represent the ratio of a circle's

Step-by-step explanation: circumference to its diameter is the lowercase Greek letter π, sometimes spelled out as pi. In English, π is pronounced as "pie"

Using the triangle inequality theorem,

b - a < X < a + b

Hence,

17 - 4 < x < 17 + 4

13 < x < 21

Hence, the third side lies between 13cm and 21 cm

$866.25

1) Gathering the data

$1575

she spent 30%

she spent 3/14

2) Let's calculate it, starting with the 30% expense. Writing a factor, we have already the value:

1575 x ( 1 -0.3)

1575 x (0.7)

1102.50

Now let's proceed with the deduction of 3/14, which can be calculated through that:

1102.5 -3/14x (1102.5)

$866.25

3) Hence, Taylor's balance was after those payments of $866.25

Answer:

-x+8y-27

Step-by-step explanation:

-(x-8y+27)

so the sub symbol is kinda just 1 sense there isnt anything else for there

-1(x-8y+27)

now just like group them or smt

-1(x)+(-1)(-8y)+(-1x27)

so yea then tou multiply all of them and then

-x+8y-27

also

- x - = +

+ x + = +

- x + = -

EXPLANATION

In this photo should be 5+5+1+1=12 people.

The answer is 12 people.

Let b be the number of students that were in each bus, since 111 students were on the trip, 23 students rode in cars, and the rest filled 4 buses, then we can set the following equation:

Subtracting 23 from the above equation we get:

Dividing the above equation by 4 we get:

Answer: 22 students.

The time taken for Sam's family to get to Chicago, Illinois is 17.8 hours.

Sam's family:

Average speed = Total distance / Time taken

65 = 1, 157 / time

cross product

65 × time = 1, 157

Time = 1,157 / 65

Time = 17.8 hours

Roshan's family:

Average speed = Total distance / Time taken

70 = 1,250 / Time

cross product

70 × time = 1,250

Time = 1,250/70

Time = 17.86 hours

Approximately,

17.9 hours

In conclusion, it will take Rohan's family 17.9 hours to get to Chicago, Illinois.

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Answer:

=1 and 3 over 41

=1.75

Step-by-step explanation:

The total cost of all the items mentioned can be expressed as

12.99 + 1.19 P = C

Given : Sara needs to purchase one notebook

Also it is given that pack of pencils is represented by P

Since a notebook costs = $ 12.99

And pack of pencils cost = $ 1.19

Thus the total cost can simply be represented by adding all the above mentioned items

this means it can be written as

12.99 + 1.19 P = C where C represents the total cost { given }

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Answer:

the answer is D

Step-by-step explanation:

Solution:

Starting point = (4, -12)

Length = units

Along the y axis, the endpoints could be

(4, -7) and (4, -17)

Along the x- axis, the endpoints could be

(9, -12) and (-1, -12).

The answer is (4, -7), (4, -17), (9, -12), (-1, -12).