What is the measure of angle GFD?
40°
50°
80°
90°

Answer:

Step-by-step explanation:

You didn't mark your graph but I'm assuming the point is (1,2)

You notice how the function stops at the point? x and y can not be above that point because there is no line above it.

The domain of the function means what can x possibly be.

The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.

The range of the function means what can y possibly be.

The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.

The factors of 8(x + 2) are 2, 4, 8, (x+2)

What is factor of an expression?

In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.

Given expression is

8(x+2)

The factorization of 8 is 2 × 2 × 2.

Putting 8 = 2 × 2 × 2 in the given expression:

= 2 × 2 × 2 (x+2)

=  2 × 4 (x+2)

The factor of 8(x+2) are 2, 4, 8, 2(x+2), 4(x+2), 8(x+2).

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Answer:

28 in^2

Step-by-step explanation:

Given,

Height of the parallelogram = 14 in

Base of the parallelogram = 2 in

Therefore, area of the parallelogram = base × height

= 2 in × 14 in

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 28 {in}^{2} (ans)\)

Answer:

Step-by-step explanation:

y = 5x - 4

y = 6x $\Rightarrow$ x = y/6

y = 5*y/6 - 4

y = 5y/6 - 4

6y = 5y - 24

y = -24.

So, x = -4

Answer:

The area is 67.36 cm squared

Step-by-step explanation:

The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36

The value of the integral is (cos(1) - 1)/2. To reverse the order of integration, we need to write the limits of integration as a function of y first, then as a function of x.

The limits of y are from 0 to 1, and the limits of x are from y to 1.
So, we can write the integral as:
∫ from 0 to 1 ∫ from y to 1 y cos(x^2) dxdy
Now, we can reverse the order of integration by integrating with respect to x first, then with respect to y.
So, the integral becomes:
∫ from 0 to 1 ∫ from y to 1 y cos(x^2) dx dy
Integrating with respect to x, we get:
∫ from 0 to 1 [sin(x^2)]/2y from y to 1 dy
Now, integrating with respect to y, we get:
∫ from 0 to 1 [(sin(1) - sin(y^2))/2y] dy
Simplifying, we get:
[cos(1) - 1]/2
Therefore, the value of the integral is (cos(1) - 1)/2.

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to find radius; 8.4/2,

Answer:

398.5

Step-by-step explanation:

a (surface area) = 2πrh + 2π\(r^{2}\)

r (radius) = 8.4/2

r = 2.4

a = 2π (4.2 x 10.9) + 2π (4.2 x 4.2)

a = 2π x 45.78 + 2π x 17.64

a = 287.64 + 110.83

a = 398.5

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

Ans.- 144 km

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

What is set ?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines,etc.

a) The set c = {north america, south america, europe, asia, australia, africa, antarctica} can be written in set-builder notation as:

c = {x | x is a continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}

b) The set-builder notation can be read as "the set c, such that x is a continent and x is an element of the set {north america, south america, europe, asia, australia, africa, antarctica}".

Set c = {north america, south america, europe, asia, australia, africa, antarctica}. Set-builder notation: c = {x | x is continent and x ∈ {north america, south america, europe, asia, australia, africa, antarctica}}.

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Answer:

2/6 = 1/3

Step-by-step explanation:

There are 6 blocks, 2 of which are circled

2/6 = 1/3

The period of the voltage signal V(t) = 10 sin(t) is 2π because the sine function has a natural period of 2π and the coefficient of t does not affect the period in this case.

To find the period T of the voltage signal V(t) = 10 sin(t), we can use the properties of the sine function.

The sine function has a period of 2π, which means it repeats itself every 2π units. In the given equation V(t) = 10 sin(t), the coefficient of t is 1, which means the period is affected by the coefficient.

In this case, the voltage function has a coefficient of 1, so the period T can be found by equating 2π to the coefficient multiplied by the period:

2π = 1 * T

Simplifying the equation, we have:

T = 2π

Therefore, the period T of the voltage signal is 2π.

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Complete question

The voltage in an electrical circuit varies with time according to the formula V(t) = 10 sin(t) for t in the interval [0,T]. The numerical value of the mean voltage in the circuit is 6.3662. What is the period T of the voltage signal?

Answer: x = 59

Step-by-step explanation:

Answer: 42 + 18b

Hello!

____________________-

6(7 + 3b) =

42 + 18b

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

4.2+1.8b

Step-by-step explanation:

a(b+c)=ab+ac

a=0.6 b=7 c=3b

0.6×7 + 0.6×3b

7×0.6 + 3×0.6b

4.2+3·0.6b

= 4.2+1.8b

Answer:

yes you physically can

Step-by-step explanation:

To word process and spell check 6 pages, it takes the word processor 26 minutes. We can use this information to calculate how long it would take to word process and spell check 27 pages.

To find the time taken for 27 pages, we can set up a proportion based on the number of pages and the time taken. The ratio of pages to time should remain the same. Let's assume x represents the time (in minutes) required to word process and spell check 27 pages. Using the proportion: 6 pages / 26 minutes = 27 pages / x. Cross-multiplying: 6x = 26 * 27. Simplifying: 6x = 702. Dividing both sides by 6:x = 117. Therefore, it would take approximately 117 minutes for the word processor to word process and spell check 27 pages.

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Answer:

a. 1.5

b 1.6 or 1.7

c. 90

Step-by-step explanation:

a. the initial height is 1.5 m (x=0)

b. the maximum height occurs at x = 20, probably 1.6 or 1.7 m

c. the arrows reaches 90 m when it lands (y=0)

hope this helps.

(a) This grammar generates strings of the form "012n" where n is a non-negative integer. The production rule S -> "0" S allows for the recursive generation of any number of "0" characters followed by "12".

(b) This grammar generates strings of the form "0n12n" where n is a non-negative integer. The production rule S -> "0" S "1" allows for the recursive generation of any number of "0" characters followed by the same number of "1" characters.

(c) This grammar generates strings of the form "0n1m0n" where m and n are non-negative integers. The production rules allow for the recursive generation of any number of "0" characters followed by any number of "1" characters, with a block of "0" characters in between.

What is a set?

In mathematics, a set is a well-defined collection of distinct objects, considered as an entity on its own. The objects within a set are called its elements or members. Sets are fundamental objects in set theory, which is a branch of mathematical logic and a foundation for many areas of mathematics.

a) Phrase-structure grammar for {012n | n ≥ 0}:

Start symbol: S

Production rules:

S -> "0" S | ε

This grammar generates strings of the form "012n" where n is a non-negative integer. The production rule S -> "0" S allows for the recursive generation of any number of "0" characters followed by "12".

Example derivations:

S -> "0" S -> "0" "0" S -> "0" "0" "0" S -> "0" "0" "0" ε = "000"

S -> "0" S -> "0" "0" S -> "0" "0" "0" S -> "0" "0" "0" "0" S -> "0" "0" "0" "0" "12" = "00012"

S -> "0" S -> "0" "0" S -> "0" "0" "0" S -> "0" "0" "0" "0" S -> "0" "0" "0" "0" "12" S -> "0" "0" "0" "0" "12" "12" = "0001212"

b) Phrase-structure grammar for {0n12n | n ≥ 0}:

Start symbol: S

Production rules:

S -> "0" S "1" | ε

This grammar generates strings of the form "0n12n" where n is a non-negative integer. The production rule S -> "0" S "1" allows for the recursive generation of any number of "0" characters followed by the same number of "1" characters.

Example derivations:

S -> "0" S "1" -> "0" ε "1" = "01"

S -> "0" S "1" -> "0" "0" S "1" "1" -> "0" "0" ε "1" "1" = "0011"

S -> "0" S "1" -> "0" "0" S "1" "1" -> "0" "0" "0" S "1" "1" "1" -> "0" "0" "0" ε "1" "1" "1" = "000111"

c) Phrase-structure grammar for {0n1m0n | m ≥ 0 and n ≥ 0}:

Start symbol: S

Production rules:

S -> "0" S "1" | T

T -> ε | "0" T "0"

This grammar generates strings of the form "0n1m0n" where m and n are non-negative integers. The production rules allow for the recursive generation of any number of "0" characters followed by any number of "1" characters, with a block of "0" characters in between.

Example derivations:

S -> "0" S "1" -> "0" "0" S "1" "1" -> "0" "0" ε "1" "1" = "0011"

S -> "0" S "1" -> "0" "0" S "1" "1" -> "0" "0" "0" S "1" "1" "1" -> "0" "0" "0" ε "1" "1" "1" = "000111"

S -> "0" S "1" -> "0" T "1" -> "0" "0" T "0" "1" -> "0" "0" ε "0" "1" = "00001"

S -> "0" S "1" -> "0" "0" S "1" "1" -> "0" "0" "0" S "1" "1" "1" -> "0" "0" "0" T "1" "1" "1" -> "0" "0" "0" "0" T "0" "1" "1" "1" -> "0" "0" "0" "0" ε "0" "1" "1" "1" = "0000111"

Therefore, this grammar allows for the generation of strings with any number of "0" characters, followed by any number of "1" characters, with a block of "0" characters in between. The T non-terminal is introduced to handle the generation of the block of "0" characters, allowing for any number of repetitions.

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Answer: Distributive property

Step-by-step explanation:

Answer:

\(10\sqrt{3}\)

Step-by-step explanation:

One is given the following expression:

\(\sqrt{30}*\sqrt{10}\)

One property of multiplying square roots is that one can multiply the numbers under the radical by each other, and then put the radical on top of the result. The following is an example of this general format of this property:

\(\sqrt{a}*\sqrt{b}=\sqrt{ab}\)

Apply this to the real problem:

\(\sqrt{30}*\sqrt{10}=\sqrt{30*10}\)

Simplify,

\(\sqrt{30*10}=\sqrt{300}\)

Rewrite as (300) as the product of two numbers, such that one number is a perfect square:

\(\sqrt{300}=\sqrt{3*10^2}\)

Simplify, take a term out of the radical:

\(\sqrt{3*10^2}=10\sqrt{3}\)

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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In linear equation, 60 hours does she spend on running in 30 days .

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

                              The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

she runs =  12 miles

she take time to runs a mile  = 10 min.

 total time she take = 12 *   10  = 120 min.

  if she spend on running in 30 days =  120 * 30

                                                 = 3600 min

                                        1 hours = 60 min.

                                       3600 min  =  3600/60 ⇒ 60 hours

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Answer:

Distributive property

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

I got it rigth on edge

hope this helps!

Answer: C!!!!!!!

Step-by-step explanation:

Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste

Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Answer:

6.5×10'3=6,500.

5.5×10'5=550,000

1.1×10'3=1,100

so as u can see the second number is greater

by 548,900

Answer:C

Step-by-step explanation: 5.5 is 500 times better than 1.1 I did the math.

5.5 x 10^5 = 550,000

1.1 x 10^3 = 1,100

500 times greater

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

bbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:

4,4 sq 3, 8 sq 2

Step-by-step explanation: