What is the circumference of the following circle?

Answer:

-270

Step-by-step explanation:

Answer:

\(6x^2+17x-45\)

Step-by-step explanation:

Our equation is

\(\left(2x+9\right)\left(3x-5\right)\)

Simplify

\(6x^2-10x+27x-45\)

Combine like terms

\(6x^2+17x-45\)

Brainliest please

Answer: The mass of the remaining element = 1.1 grams .

Step-by-step explanation:

Exponential equation of decay: \(y=A(1-r)^x\) ...(i), where A = intial value , r= rate of decay in decimal , x= time.

As per given :

Initial mass : A= 140 grams

Rate of decay : r= 21.6% per minute= 0.216 per minute.

x= 20  minutes

Substitute values in (i) , we get

\(y=140(1-0.216)^20\\\\=140(0.784)^2^0=1.077579422\)

Hence, the mass of the remaining element = 1.1 grams .

Answer:

3

I hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

(621.49 x  0.1) + 13.99 = x

Step-by-step explanation:

I hope this helps

The length of the arc through which the weight moves from one high point to the next high point is π/180 ft.

Arc Length Formula:θ = ∅r/L Where, θ = Central angle in radians r = Radius of the circle L = Length of the arc∅ = central angle in degrees. formula. Now, we will use the above formula to find the arc length through which the weight moves from one high point to the next high point. Thus,θ = 5° + 5° = 10°r = 2 ft. Let us first convert the angle to radians:1 radian = 180/π degrees10° = 10/180 π radians = π/18 radiansθ = ∅r/L ⇒ L = ∅r/θ. Substituting the given values, we get: L = π/18 × 2 / 10°L = π/180 ft

Thus, the length of the arc through which the weight moves from one high point to the next high point is π/180 ft.

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Answer:

28 hrs

Step-by-step explanation:

in 8 hrs she earns $320,

so in 1 hr she earns $320/8=$40

no. of hrs she takes to earn $1120 is,

=1120/40= 28 hrs

Annie would need to work 28 hours to earn $1,120 at the same rate.

To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.

Let's define:

x = the number of hours Annie needs to work to earn $1,120.

According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.

We can set up the proportion as follows:

320/8 = 1120/x

To solve this proportion, we can cross-multiply and then solve for x:

320x = 8 * 1120

320x = 8960

Dividing both sides of the equation by 320:

x = 8960/320

x = 28

Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.

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Answer:

  y = x + 3

Step-by-step explanation:

The initial value is the y-intercept, the y-value where the line crosses the y-axis. For line m, it is 1. So, you need an equation for a line that has a constant greater than 1. This eliminates the first and third choices.

The rate of change is the slope, the x-coefficient. For line m, the rise/run is 2/1 = 2. So, you need an equation for a line that has an x-coefficient less than 2. This eliminates the fourth choice.

The only viable choice is the second one:

  y = x + 3

Y = X + 3

     (B)                                            

       :) hope this helps

The resulting Chomsky Normal Form (CNF) is A⇒ BC.

To convert the given Context-Free Grammar (CFG) into Chomsky Normal Form (CNF), we need to follow a few steps:

Step 1: Eliminate ε-productions (productions that produce the empty string):

The CFG contains the production B ⇒ ε. To eliminate this, we create new productions for every occurrence of B and remove B ⇒ ε. The modified CFG becomes:

ABAB B B⇒ 00 | A | AB | BA | BB

Step 2: Eliminate unit productions (productions of the form A ⇒ B):

The CFG contains the production B ⇒ B. To eliminate this, we substitute every occurrence of B with its productions. The modified CFG becomes:

ABAB 00 | A | AB | BA | BB⇒ 00 | A | AB | BA | 00 | A | AB | BA | BB

Step 3: Convert long productions (productions with more than two non-terminals) into multiple productions:

The CFG contains the production ABAB. To convert this, we introduce a new non-terminal symbol and split the production into multiple productions. The modified CFG becomes:

S⇒ AB

AB⇒ AB | AA | BA | 00 | A

A⇒ 0

B⇒ 0

Step 4: Convert terminals into separate productions:

The CFG contains the production B ⇒ 0. To convert this, we introduce a new non-terminal symbol and split the production into two productions. The modified CFG becomes:

S⇒ AB

AB⇒ AB | AA | BA | CC | A

A⇒ 0

B⇒ CC

C⇒ 0

Now, the CFG is in Chomsky Normal Form (CNF), where every production is either of the form A⇒ BC or A⇒ a, where A, B, and C are non-terminals, and a is a terminal. The resulting CFG is:

S⇒ AB

AB⇒ AB | AA | BA | CC | A

A⇒ 0

B⇒ CC

C⇒ 0

Note: In the given CFG, the symbol "&" and the arrow "⇒" are not standard symbols used in CFG notation. I assumed "&" represents concatenation, and "⇒" represents a production rule.

CFG stands for Context-Free Grammar. It is a formal grammar that describes the syntax or structure of a formal language. A CFG consists of a set of production rules that specify how to generate valid strings in the language.

Chomsky Normal Form (CNF) is a specific form of Context-Free Grammar that has certain restrictions on its production rules. In CNF, each production rule is in one of the following two forms:

A⇒ BC: This form represents a rule where a non-terminal A can be replaced by two non-terminals B and C.

A⇒ a: This form represents a rule where a non-terminal A can be replaced by a single terminal a.

Converting a CFG into CNF is useful for various purposes, such as parsing algorithms and formal language analysis, as the restrictions of CNF simplify the grammar and allow for more efficient processing.

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Answer:

(−2,5)

Step-by-step explanation:

If you want to find x and y in this system of equations:

2x − 3y = −19

4x + 5y = 17

You can use elimination to get rid of one variable. Here's how:

First, double the first equation so that x has the same coefficient in both equations.

4x − 6y = −38

4x + 5y = 17

Then, subtract the first equation from the second equation to cancel out x and get a new equation with only y .

(4x + 5y) − (4x − 6y) = 17 − (−38)

11y = 55

Next, divide both sides by 11 to find the value of y .

y = 5

Now, plug in y = 5 into any of the original equations and solve for x .

2x − 3(5) = −19

2x = −4

x = −2

Finally, check that (−2,5) is the correct solution by substituting x = −2 and y = 5 into both original equations.

2(−2) − 3(5) = −19

−19 = −19

4(−2) + 5(5) = 17

17 = 17

So, the answer is (−2,5).

To find the solution for this system of equations, we can use either substitution or elimination method.

1. Multiply the first equation by 5 and the second equation by 3 to eliminate y:

  10x - 15y = -95

  12x + 15y = 51

2. Add the two equations to eliminate y:

  22x = -44

3. Divide both sides by 22 to solve for x:

  x = -2

4. Substitute x = -2 into one of the equations to solve for y. Let's use the first equation:

  2(-2) - 3y = -19

  -4 - 3y = -19

  -3y = -15

  y = 5

Therefore, the ordered pair (-2, 5) is the solution for the system of equations 2x − 3y = −19 and 4x + 5y = 17.

Answer:

288

Step-by-step explanation:

amount of money made divided by the price of each cookie

72/0.25=288

Answer:

the first question the answer is: Answer. A + 2A + 3A = 180 degrees ( total for all 3 angles in any triangle). This one is a right triangle since one of the angles is 90 degrees. did that make any sense? lol

the 2nd question the answer is i believe D. but i am not sure

hope this helped :)

Answer:

1. A

2. B

Step-by-step explanation:

Check the attachment

Hope it helps :)

Answer:

Step-by-step explanation:

Assuming KH is a straight line with K and H being the beginning and the end of the line. If J is between H and K, it means that J is a point on line HK. Therefore, we can say that

HJ + JK= KH

If HJ = 4x + 9, JK = 3x + 3 and KH = 33, it means that

4x + 9 + 3x + 3 = 33

4x + 3x = 33 - (9 + 3)

7x = 21

Dividing both sides of the equation by 7, it becomes

x = 21/7 = 3

Therefore, HJ = 4 × 3 + 9 = 21

Answer:

The fox; 23 miles per hour

Step-by-step explanation:

The speed of fax is 42 miles/hour and the speed of fax is 19 miles/hour. So, fax is faster and 23 miles per hour fax is faster than squirrel.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time.

Given that, a squirrel can run a short distance at a rate of \(4\frac{3}{4}\) =19/4 miles in 15 minutes.

We know that, Speed =Distance/Time

= 19/4 ÷15/60

= 19/4 × 60/15

= 19/4 × 4/1

= 19 miles per hour

So, speed of squirrel is 19 miles per hour

Speed of fax =21÷30/60

= 21×2

= 42 miles per hour

So, speed of fox is 42 miles per hour

Difference in speed =42-19

= 23 miles per hour

Hence, fax is faster and 23 miles per hour fax is faster than squirrel.

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Using exponents, the given expression is equal to 1 / (c ^ (-3d) ^ 5) ².

Given expression is as follows: (3c )^ 0 / (c ^ (-3d) ^ 5) ²

We know that anything to the power 0 is 1 So, we get:

(3c)0/(c^(-3d)^5)²= 1/(c^(-3d)^5)²

.In other words, the expression can be written as

(1/c-3d5) * (1/c-3d5) = (1/c² - 6d5/c³ + 9d²25/c4).

This is because when we multiply 1/c^(-3d)^5 with 1/c^-3d^5, we will get

(1/c² - 6d5/c³ + 9d²25/c4) by using the formula

(a+b)² = a² + b² + 2ab.

Therefore, the answer is 1/(c^(-3d)^5)².

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The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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The amount of pounds of clay left is given by the equation A = 0.51 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of pounds of clay = 3.8 pounds

Now , the amount of clay used by Martha = ( 1/4 ) of the total

So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds

And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds

Now , the amount of clay used by Scott = ( 2/5 ) of the remaining

So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds

And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds

On simplifying the equation , we get

Now , the amount of clay used by Alison = 1.2 pounds

So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds

Hence , the remaining amount of clay = 0.51 pounds

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Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

30 + 4 + .7 + .05

Step-by-step explanation:

You have to write them like that just like if you were to do 245 in expanded form it would be 200 + 40 + 5! Hope this helps!

The area of the garden is given as follows:

A = 20.6925 ft².

The garden has a rectangular format, hence it's area is given by the multiplication of it's length l by it's width w, as follows:

A = lw.

From the image, converting the mixed numbers to decimal, the dimensions of the garden are given as follows:

Hence the area in feet squared is given by the multiplication of these two dimensions, as follows:

A = 7.75 x 2.67

A = 20.6925 ft².

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Answer:

group A has longer average

Step-by-step explanation:

the average for group A : 11+11+12+12+12+12+13+13+13+13= 122/10=12.2

the average for group B : 10+10+10+10+10+11+11+12+12+12=108/10=10.8

Answer:

group A has longer average

Step-by-step explanation:

The gardener has 3 vegetable beds.

Let there be x number of vegetable beds. Then if 3/10 of a bag of mulch is spread evenly over each of her equal-sized vegetable beds, the total amount of mulch used is 3x/10. According to the question, the total amount of mulch used is 9/10 of a bag. Hence,

3x/10=9/10

⇒x=3

Read a similar question here:

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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Answer:mason must need 33.6 m of materail to make  8 curtains.

so he need to 17.6m of material

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Multiply 24 km by 3.14 (π) and round to the nearest tenth like in the instructions.

Answer:

31

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

1. Multiply 28+6-12/4

2. Divide 28+6-3

3. Add 34-3

4. Subtract 31

Answer:

x= \(-\frac{277}{18}\)

Step-by-step explanation:

Based on the information we can infer that Sophie is a Savvy Shopper.

A "savvy shopper" is an informal term used to refer to a person who is an expert in finding and taking advantage of the best deals and promotions when shopping. Another outstanding characteristic of these people is that they plan their purchases in advance and take advantage of promotions and discounts.

According to the above, we can infer that if Sophie is a bargain shopper who collects coupons and plans her route to take advantage of sales. She is a savvy shopper.

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