Simplify the expression.

The area swept by the minute hand in 12 minutes is 181.58 cm²

Step-by-step explanation:

In the circle clock

∵ The minute hand is swept by 12 minutes

∵ The central angle between each two consecutive minutes = 6°

∴ The central angle when the minute hand swept 12 minutes =

   6 × 12 = 72°

∵ The area of a sector of a circle = [tex]\frac{x}{360}*\pi r^{2}[/tex] ,

   where r is the radius of the circle and x is the central angle of

   the sector

∵ The radius of the circle is the length of the minute hand

∵ The minute hand in a clock is 17 cm long

∴ r = 17 cm

∵ The measure of the central angle is 72°

∴ x = 72°

- Substitute these values in the rule of the area of a sector

∵ Area = [tex]\frac{72}{360}*\pi (17)^{2}[/tex]

∴ Area = 181.58 cm²

The area swept by the minute hand in 12 minutes is 181.58 cm²

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Answer:

If there are parentheses, then you solve what's in those first.

Step-by-step explanation:

Use PEMDAS to help you remember.

P- Parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

Answer:

there are 2100 seconds in 35 minutes

There are 60 seconds in a minute, if you times 60 by how many minutes there are, you get how many seconds there are. Here is how I got the answer:

60 x 35 = 2100

I hope this helps you and you can use it for future reference! :)

Answer:education and training- speech Language pathologist And curriculum developer

Government and public administration- tax auditor and federal aid coordinator

Law, public safety corrections and security- attorney and paralegal

Step-by-step explanation:

The career clusters and some example careers within each cluster are Agriculture, Food, and Natural Resources (e.g. agricultural engineer, food scientist, forester), Business, Management, and Administration (e.g. accountant, human resources specialist, operations manager), and Health Science (e.g. medical doctor, nurse, medical laboratory technologist).

The career clusters and some example careers that fall under each cluster are as follows:

These are just a few examples, and there are many other careers within each career cluster.

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Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m =  [tex]\frac{2}{3}[/tex]

Equation of line is written as

y - [tex]y_1[/tex] = m × (x - [tex]x_1[/tex])

Since line passes through line ( - 2 , 5 ) and have slope [tex]\frac{2}{3}[/tex]

So, y - 5 =   [tex]\frac{2}{3}[/tex]  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - [tex]\frac{10}{2}[/tex]

I.e x = - 5

Again points ( - 2 , y )  lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = [tex]\frac{15}{3}[/tex]

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5   .  Answer

Mrs. Bailey had a 75% decrease in the number of candies she had after giving away 9 out of the original 12 pieces.

To calculate the percent decrease of candy Mrs. Bailey had, we begin by identifying the initial amount and the final amount of candy. Mrs. Bailey started with 12 pieces and ended with 3 pieces, which means she gave away 12 - 3 = 9 pieces of candy. To find the percent decrease, we use the formula: “part over total, times one hundred, equals percent.” Here, the “part” is the amount of candy she gave away (9), and the “total” is the original amount she had (12).

The formula for the percent decrease is:

9 / 12 × 100 = 75%

So, the percent decrease in the number of candies Mrs. Bailey had is 75%.

Step-by-step explanation:

44-18=26

if 300=100 percent

? =26 percent

26×300=7800

7800÷100=78

the answer is 78 students

Answer:

Step-by-step explanation:

y=mx+b is the formula for slope y-intercept form.

Answer: Janessa has 10 Amari has 34

The number of blue berries with Janessa and Amari are 10 and 34 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Robert who has 20 blueberries such that he has 10 more blueberries than Janessa and 14 fewer blueberries than Amari.

Assume that the number of blue berries with Janessa and Amari are x and y respectively. We can write the following modelled equations as -

20 = x + 10

20 = y - 14

Solving, we get -

x = 10

y = 34

Therefore, the number of blue berries with Janessa and Amari are 10 and 34 respectively.

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Answer:

17% ?

Step-by-step explanation:

that seems like the most logical answer

Answer:

16.4

Step-by-step explanation:

this is right

Answer:

80 milligrams

Step-by-step explanation:

Write a proportion and solve.

200mg / 250% = x / 100%

x = 80mg

Answer:

(x^2-6)(x+2)(x-2)

Step-by-step explanation:

x^4-10x^2+24

(x^2-6)(x+2)(x-2)

x-5=-13

move -5 to the other side

sign changes from -5 to+5

x-5+5=-13+5

x=-13+5

answer:

x=-8

Answer:

a) 21 nickels and 2 dimes

b) [tex]5x+10y=125[/tex]

c) There are 13 nickels and 6 dimes

d) The point (13,6) a solution to the equation you wrote

Step-by-step explanation:

Let x be the number of nickels and y be the number of dimes in Priya's pocket.

1 nickel = 5 cents

x nickels = 5x cents

1 dime = 10 cents

y dimes = 10y cents

b. Total amount in nickels and dimes is [tex]5x+10y[/tex] cents that is $1.25. Convert $1.25 into cents:

[tex]\$1.25=125\ cents,[/tex]

so the equation that describes the relationship between the number of dimes and number of nickels is

[tex]5x+10y=125[/tex]

a. To find one possible solution, substitute an arbitrary value of y and find x. Let y = 2, then

[tex]5x+10\cdot 2=125\\ \\5x+20=125\\ \\5x=125-20\\ \\5x=105\\ \\x=21[/tex]

21 nickels and 2 dimes

c. The point (13,6) means that there are 13 nickels and 6 dimes.

d. Substitute x = 13 and y = 6 intoe the equation and check whether it is true:

[tex]5\cdot 13+6\cdot 10=65+60=125[/tex]

True, so the point (13,6) a solution to the equation you wrote

Answer:

denominator of 1

Step-by-step explanation:

An expression can be written in rational number by writing 1 in the denominator then it will become a fraction and  a rational number

Answer:

A rational numbers can be defined as numbers that can be expressed as the quotient between two integers.

This means that a whole number can be expressed as a rational number by just adding 1 into its denominator

[tex]2 \implies \frac{2}{1}[/tex]

That way the whole number would be a rational number, becase 2 and 1 are integers.

Therefore, an expression can be written in rational form by  writing it as a fraction with a denominator of 1.

Answer:

x=4

Step-by-step explanation:

-3x+4x=2*4-x

x=8-x

8=x+x

8=2x

x=8/2

x=4

Answer:

1. B

2. A

Step-by-step explanation:

1. The terms seem to be increasing by a constant of 7.

11+7=18

18+7=25

25+7=32

Therefore, the next two terms should be 32+7 and 32+7+7. This equals 39 and 46.

2. The terms in this pattern are being divided by 6

180/6=30

30/6=5

In order to find the missing number before 180, we need to multiply 180 by 6. 180 times 6 is equal to 1080.

hi ur answer would be 39,46

Step-by-step explanation: here's my explanation as u can see it 11 into 18 is adding 7 and for all of them the pattern is plus 7 so u do 32+7=39 and then u do 39+7=46 and thats how u get B.39,46

Answer:

Here is the complete question.(attachment)

The correct choice is [tex]a^2+15^2=17^2[/tex]

Step-by-step explanation:

We will apply the Pythagoras formula to calculate the perpendicular length (a).

Pythagoras formula [tex]=(base)^2+(perpendicular)^2=(Hypotenuse)^2[/tex]

The right angle is formed between [tex]a[/tex] and [tex]15\ m[/tex] length.

So [tex]17\ m[/tex] is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.

So

[tex](a)^2+(15)^2=17^2[/tex]

[tex]a=\sqrt{17^2-15^2}= 8\ m[/tex]

So the measure of side length [tex]a[/tex] is [tex]8\ m[/tex].

That can be calculated from the option A that is [tex](a)^2+(15)^2=17^2[/tex].

Note:Please don't look to the marked answers that was wrong in the attachment.

Answer:

Yes it is A

Step-by-step explanation:

Answer:

8 9/10 is the largest number

Answer:

8 9/10

Step-by-step explanation:

8 is first off larger than 7 so that rules out all the 7 numbers

And 9/10 is .9 so that would make it 8.9 which is greater than 8.2

Answer:

C 28ft on edg 2021

Answer:

2*5*7

Step-by-step explanation:

2*5=10

10*7=70

Answer: With any number if the 0 is at the Numerator it will always be 0

Step-by-step explanation:

If a 0 is at the Denominator it will be Undifined

Polynomials are in standard form when their terms are written in descending order of exponents. Choice B [tex](x^4 - 8x^2 - 16)[/tex] is in standard form. The correct answer is Choice B.

A polynomial is in standard form when its terms are written in descending order of their exponents. Let's evaluate each of the choices:

Therefore, the correct answer is Choice B.

Answer:

its D my  man go the answer sheet

Step-by-step explanation:

Answer:

d.

Investment B is an ordinary annuity with $3,906.64 in the account after 1 year

Step-by-step explanation:

Answer:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

Step-by-step explanation:

2^3 * 5^2

2*2*2 * 5*5

8 * 25 = 200

Answer:

The remaining wood will be 1.25 inches shorter.

Step-by-step explanation:

Only 10 cuts are required to cut the board into 11 equally sized lengths.  Thus, the length of the board after these cuts have been made will be

10(0.125 inches), or 1.25 inches, shorter.

By making 10 cuts, the total length of the board will be reduced by 1.25 inches due to the saw blade reduction. After converting this to feet, Michael will have approximately 15.896 feet of board left.

Michael has a 16-foot board that he plans on cutting into 11 equal lengths. This means he will need to make 10 cuts (as the 11th 'cut' is actually the end of the board not actually needing a cut). The saw blade will decrease the length of the board by -0.125 inches for each cut. To solve this, we multiply the number of cuts by the length that will be reduced by the saw blade. That gives us 10 x -0.125 = -1.25 inches. That means that the total usable length of the board will be reduced by 1.25 inches. We need to convert this to feet since the original length of the board is in feet. There are 12 inches in foot, so -1.25 inches is about -0.104 feet. Thus, the total length of the board after all the cuts will be 16 - 0.104, or approximately 15.896 feet.

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Answer:

$1 for every 3 candy canes

The drawing will help

Answer:

The number of number of bags of snacks = m  = 176

The number of beverages supplied = m + 19  = 176 +9 = 185

Step-by-step explanation:

Let us assume the number of bags of snacks = m

So, the number of beverages supplied = m + 19

Total number of items supplied  =  371

⇒ Number of (snacks + beverages) supplied=  371

⇒   m + (m +19)  = 371

or, 2 m = 371 - 19 =  352

or, m =  352 / 2 = 176  

⇒  m  = 176

Hence the number of number of bags of snacks = m  = 176

So, the number of beverages supplied = m + 19  = 176 +9 = 185

Answer: The perimeter of the scale drawing is [tex]30[/tex].

Step-by-step explanation:

You need to analize the information provided in the exercise.

You know that the perimeter of rectangle is [tex]450[/tex] and the scale factor Natalie used to create the scale drawing, was:

[tex]scale\ factor=\frac{1}{15}[/tex]

From this you can identify that, in order to find the perimeter of the scale drawing of the triangle (Which can be represented with [tex]P_2[/tex]), you must multiply the original perimeter ((Which can be represented with [tex]P_1[/tex]), by the scale factor Natalie used.

Therefore, you get that the perimeter is:

[tex]P_{2}=\frac{1}{15}P_1\\\\P_2(\frac{1}{15})(450)\\\\P_2=30[/tex]

Answer:

[tex]\large\boxed{x>2\to x\in(2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]2x+3-x>5\qquad\text{subtract 3 from both sides}\\\\2x-x>5-3\\\\x>2[/tex]