Determine if the line segment YX is tangent to circle Z.

Answer:

The new value is $8,272

Step-by-step explanation:

8800 x (1 - 0.06) = 8272

Answer:

25% or 35 rocks.

Step-by-step explanation:

To find this answer, simply add up 40% and 35% to get 75%. Now, 100% is the most we can have. So, 100 - 75 = 25%.

To find even more in depth of exactly how much 25% of 140 is, we can simply move the decimal point from 25 over twice to get 0.25. The term "of" means multiply:

0.25 x 140 = 35 rocks.

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The running total is  $95.27.

There are two types of records, Active and Inactive. There are also two major classifications, Vital and Important.

He opened the account with $299.88. He subsequently wrote many cheques, from which you deduct the sum of 299,88.

He deposited a check, thus 299.88-90.48= 209.40, 209.40 - 65.00= 144.40, and then he added $381.33 to 144.40 to get 525.73.

then you need to deduct more since he wrote more checks.

Consequently, 525.73-54.47=471.26, and 471.26-375.99=95.27, giving him a balance of $95.27.

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The current total is $95.27. Active and Inactive records are the two types of records. There are two major classifications as well: Vital and Important.

Good records are required to create reliable financial statements. Balance sheets and income (profit and loss) statements are included. These statements may help you manage your company and deal with your bank or creditors.

Good Records are documents that contain recorded data that demonstrate the effectiveness of the quality management system, regardless of format or feature.

Given,

He deposited into the account = $299.88

He then wrote a number of cheques, from which you deduct = $299,88.

He deposited a check, thus 299.88 - 90.48

= 209.40, 209.40 - 65.00

= 144.40

and then he added $381.33 to 144.40 to get 525.73.

then you need to deduct more since he wrote more checks.

Consequently,

525.73 - 54.47

=471.26  

and 471.26-375.99

= 95.27

As a result, The gives him a balance of $95.27.

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The graph of inequalities equation on coordinate plane is given below ↓↓↓

Difference between equality and inequality equations

Both mathematical phrases, equality and inequality , are created   by connecting two expressions.The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols show that the two expressions in an inequality are not always equal: >, <, ≤ or ≥. Or in simple words the equation which has '=' sign is an equality equation while the inequality equation has the signs are >, <, ≤ or ≥.

The inequalities equation is ,

y> 2x+4

x+y≤6

so, the graph is ↓↓↓

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The total number of students going on a trip is 375 students.

Given that,

The entire third through fifth graders are taking a field trip to Coney Island. There are 125 pupils each grade. The cafeteria should provide lunches.

We have to find how many students will be travelling on the trip.

So,

In Grade 3 we have 125 students.

In Grade 4 we have 125 students.

In Grade 5 we have 125 students.

So,

Total number of students going on trip = Number of students in Grade 3 + Number of students in Grade 4 + Number of students in Grade 5

= 125 + 125 + 125 = 375.

Therefore, The total number of students going on a trip is 375 students.

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Answer:

I believe that the answer is $2.04, per gallon.

Step-by-step explanation:

I added the $25 he paid with the gift card, and the $26, which was $51 that Corey paid in total. Corey had gotten 25 gallons and they want to figure out how much he paid for each gallon. So we take the total he spent divided by the number of gallons he had gotten. So 51/25=2.04

Hope this helps!!!!

Answer:

18:360 is the correct answer

Answer:

12.3459 grains

Step-by-step explanation:

Answer:

12.346 grains

Step-by-step explanation:

for an approximate result, multiply the mass value by 15.432

( which is basically 0.8 times 15.432)

There are 3 1/4's in 3/4, hope this helps.

Answer: 3

Step-by-step explanation: since they are the same denominator it is basically asking how many 1s go in 3

The solution to the equation given as 2x + 4y = 6x − y has the ordered pair of (3, 4)

From the question, we have the following equation that can be used in our computation:

2x+4y=6x−y

Solving further, we need to collect the like terms

So, the equation becomes

2x - 6x = -4y - y

Next, we evaluate the like terms in the above equation

So, we have the following representation

-4x = -3y

Divide both sides by -3

The equation becomes

x = 3/4y

At this point, we assume any value for y and then solve for x

Assume that the value of y is 4

So, we have the following representation

x = 3/4 * 4

Evaluate the products

x = 3

So, we have

x = 3 and y = 4

Express as ordered pairs

(x, y) = (3, 4)

Hence, the ordered pair of the solution is (3, 4)

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Answer:cap

Step-by-step explanation:C A P

It is a scalene triangle .

acc to our quesion-

all the sides of triangle are unequal

if all sides are unequal ,it is called scalene triangle.

hence,It is a scalene triangle .

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Answer:

S=3/8 miles

T=1/4 hour

V=S/T = 3/8 ÷ 1/4 = (3×4)÷8 = 3/2 miles in an hour

To investigate the complaints from renters who are unhappy about their monthly rents, the mean rents can be collected

The statistical measurement that would be used is the ANOVA.

A dataset's mean (also known as the arithmetic mean, as opposed to the geometric mean) is the sum of all values divided by the total number of values. It is the most widely used measure of central tendency and is frequently referred to as the "average."

ANOVA is an abbreviation for Analysis of Variance. It is a statistical test invented by Ronald Fisher in 1918 that has been in use ever since. Simply said, ANOVA determines whether or not there are statistical differences between the means of three or more independent groups. The most basic type is one-way ANOVA. To know of the meansare the same, the ANOVA can be used.

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Answer:

p=-10

Step-by-step explanation:

-10-20=-30

Subtracting a negative from a negative will result in a higher negative, the same can be said for -10-20. Removing 10 from -20 will result in a lower answer. This is 20.

Answer: There is no solution

Step-by-step explanation:

The formatting of the question isn't clear, but I'll still explore both possibilities. If the square root is only applied to x, we can solve for the variable by adding 4 to both sides and then squaring both sides, which would give us 4. Since that is not an answer choice, it means the square root applies to x-4. With this problem, we square both sides right away. That gives us x=0, but plug 0 back into the original equation. Doing so gives us the square root of -4, which is not possible with real numbers, only with imaginary numbers.

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em} \textit{we know that} \begin{cases} y=0.1\\ x=0.2 \end{cases} \\\\\\ 0.1=k(0.2)\implies \cfrac{0.1}{0.2}=k\implies 0.5=k\hspace{5em}\boxed{y=0.5x}[/tex]

The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.

A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.

Therefore,

1440 - 1220 = 220

Let the angles be a, b and c.

Therefore,

a + b + c  =220

a + b = 90

b + c = 180

Hence,

a = 220 - 180

a = 40°

b = 90 - 40

b = 50°

c = 180 - 50

c = 130°

The angles are 40°, 50° and 130°.

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The values that match the various trigonometric identity are;

1) sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀ = 1

2) cos 13 cos 47 + sin 13 sin 47 = 0.5

3) sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π = 0

Trigonometric identities are defined as the equations that involves the trigonometric functions that are true for every value of the variables involved.

1) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀

Applying the trigonometric identity above, gives us;

sin(²/₅π + π/₁₀)

= sin(5π/10)

= sin(π/2)

= 1

2) We know that the trigonometric identity sin(A + B) is expressed as;

cos(A + B) = cosAcosB − sinAsinB.

We are given;

cos 13 cos 47 + sin 13 sin 47

Applying the trigonometric identity above, gives us;

cos(13 + 47)

= cos 60

= 0.5

3) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π

Applying the trigonometric identity above, gives us;

sin(²/₅π + ⁸/₅π)

= sin(¹⁰/₅π)

= sin(2π)

= 0

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The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

What is Arithmetic Progression and Geometric Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

First term = -2

Second term = 4

A)

For Arithmetic Progression

First term a = -2

Second term = 4

Common difference d = Second term - First term

                                     = 4 - ( -2 )

                                     = 6

And Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

n = 10 terms

Sₙ = ( 10/2 ) [ (2x- 2) + ( 9 ) x 6]

Sₙ = 5 [ -4 + 54 ]

Sₙ = 5 x 50

Sₙ = 250

Therefore , Sum of first 10 terms of an AP is 250

B)

For Geometric Progression

First term a = -2

Second term = 4

Common ratio = Second term / First term

                        = 4 / -2

                        = -2

And Sum of first n terms of an GP : Sₙ =  a( 1 - rⁿ ) / ( 1 - r )

n = 10

Sₙ = 2( 1 - ( -2 )¹⁰ ) / 1 - ( -2 )

Sₙ = 2 ( 1 - 1024 ) / 3

Sₙ = ( 2 x (-1023) ) / 3

Sₙ = 2 x ( - 341 )

Sₙ = - 682

Therefore , Sum of first 10 terms of an GP is -682

The difference between the sum of first 10 terms of AP and GP is GP - AP

= -682 - 250

= -932

Hence , The difference between the sum of first 10 terms of AP and GP where the first term and second term is 2 and 4 respectively is -932

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If Sebastian filled 10 gallons of gas, the total amount he spent at the gas station was C. $40.50.

Using the mathematical operations of multiplication and addition, we can compute the total amount that Sebastian spent at the gas station.

We first determine the total cost of gas that Sebastian bought by multiplying the unit cost by the quantity.

Secondly, we add the above total cost to the total cost of other items he bought at the station to arrive at the total amount spent.

The cost of gas per gallon = $2.91

The number of gallons of gas bought = 10

The total cost of gas = $29.10 ($2.91 x 10)

The total cost of granola bars and tissues = $11.40

The total amount spent = $40.50 ($29.10 + $11.40)

Thus, mathematically, Sebastian spent C. $40.50 at the gas station.

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Answer:

equal to

Step-by-step explanation:

4 + 1/2= 4+ 0.5= 4.5

4.5=4.5

Answer:

The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21

Answer:

Answer is b

Step-by-step explanation:

Because

Answer: 26/24

Step-by-step explanation:

First we have to convert 5/6 with a denominator of 24 so 6 times what makes 24, that is 4 & whatever you do with the denominator, you have to do it with the numerator. So 5 times 4 is 20, the new fraction is 20/24. Now, we need to find what we need to add with 20/24 to get 41/24, so we subtract 20/24 from 41/24 & that is 21/24. We can check if it's correct by adding both 21/24 and 20/24 & that makes 41/24.

After factorization we get the two terms ( w - 3 ) ( w + 2 )

And the values of  A and B as 3 and 2 respectively .

That is A = 3 and B = 2.

The given expression is w² - w - 6.

This question can be calculated easily by middle term split

First step is to multiply the first and the last term

which will give us - 6

thus now we have to look for two number which when either added or subtracted will give us - 1

Thus we can write it as :

w² - 3 w + 2 w - 6

Now take the terms which are common

and we will get

w ( w - 3 ) + 2 ( w - 3 )

( w - 3 ) ( w + 2 )

Thus if we compare it with (w - A) (w + B)

we will get the values of A and B as

3 and 2 respectively .

That is A = 3 and B = 2

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Answer:

ln A / ln 2

Step-by-step explanation:

Using the change of base rule: ln A / ln 2

The x-intercept of the table of values is 12 or (12, 0).

To find the x-intercept of a table that represents a linear relationship between x and y, first write the equation that models the table.

To write the equation, first find the slope (m) using two pairs of values, say, (22, 36) and (27, 54)

Slope (m) = (54 - 36)/(27 - 22)

Slope (m) = 18/5

Write the equation that represents the table of values by substituting (a, b) = (22, 36) and m = 18/5 into y - b = m(x - a):

y - 36 = 18/5(x - 22)

To find the x-intercept, substitute y = 0 into the equation, y - 36 = 18/5(x - 22) to find the value of x:

0 - 36 = 18/5(x - 22)

-36 = 18/5(x - 22)

5(-36) = 18(x - 22)

-180 = 18(x - 22)

-180/18 = x - 22

-10 = x - 22

-10 + 22 = x

12 = x

x = 12

The x-intercept is 12 or (12, 0).

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