Pls Help! Geometry
Find the area of the shaded region.

Answer: Multiple Choice $15 understated. $135 overstated. $135 understated. $150 understated. $150 overstated. 2.The numbering system used in a company's chart of accounts: Typically begins with income statement accounts.

Step-by-step explanation:

Answer:

x^2+4x+2

Step-by-step explanation:

√4 = 2

=x^2+2x+2x+2

add the ones that are the same (2x+2x)

x^2+4x+2

Answer:

answer is the second option  m<-2 7/12

Step-by-step explanation:

process:

convert -2 1/4 into an improper fraction

m+1/3 < -9/4

m <-9/4 -1/3

calculate the difference

m<-31/12

turn into a mixed fraction

Answer: 6

Step-by-step explanation: 3 + 6 = 9,  9 + 6 = 15,  15 + 6 = 21,  21 + 6 = 27

The Distance  between the midpoints of segments OA and AB is 4.5cm

A line is defined as the shortest distance between two points.

Given the following parameters

OA = 12cm

OB = 9cm

AB = OA - OB

AB = 12 - 9 = 3cm

midpoint of OA = 12/2 = 6cm

midpoint of AB = 3/2 = 1.5cm

Distance  between the midpoints of segments OA and AB in each case will be the difference between the midpoints

Difference = 6cm - 1.5

Difference = 4.5cm

Hence the Distance  between the midpoints of segments OA and AB is 4.5cm

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The two compositions for the functions are:

[tex](p\°q)(2) = -6\\\\(q\°p)(2) = 6[/tex]

When we have two functions q(x) and p(x), the composition is:

[tex](q\°p)(x) = q(p(x))[/tex]

Here we have:

[tex]p(x) = -x\\\\q(x) = 2x^2 - 2[/tex]

The first composition is:

[tex](q\°p)(2) = q(p(2)) = 2*(p(2))^2 - 2 = 2*(-2)^2 - 2 = 6[/tex]

The other composition is:

[tex](p\°q)(2) = p(q(2)) = -(q(2)) = -(2*2^2 - 2) = -(8 - 2) = -6[/tex]

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Answer:

Step-by-step explanation:

10.

[tex]\left \{ {{x-2y=4} \atop {4x+2y+6}} \right.[/tex]

The y values cancel out if you add the equations

5x = 10

x = 2

plug in x

2 - 2y = 4

-2y = 2

y=-1

Answer: C. (2, -1)

11.

[tex]\left \{ {{6x-2y=-4} \atop {-4x+3y=-4}} \right.[/tex]

In order to get terms to cancel out, multiply the top by 3 and bottom by 2

[tex]\left \{ {{18x-6y=-12} \atop {-8x+6y=-8}} \right.[/tex]

The y values cancel out if you add the equations

10x = -20

x = -2

plug in x

6(-2) - 2y = -4

-12 - 2y = -4

-2y = 8

y = -4

Answer: B. (-2, -4)

Answer:

x = 2; y = -1

Step-by-step explanation:

We can solve (first for y, then for x) using substitution:

[tex]x+y=1\\7x+4y=10\\(x+y=1)-y\\x=1-y\\\\7(1-y)+4y=10\\7-7y+4y=10\\(7-3y=10)-7\\(-3y=3)/-3\\y=-1\\\\(x-1=1)+1\\x=2[/tex]

[tex]\Large\Box\underline{\textsf{A. What is Asked}}[/tex]

Evaluate [tex]\bf{\dfrac{1}{12^{-2}}}[/tex]

[tex]\Large\Box\underline{\textsf{B. This problem has been solved!}}[/tex]

[tex]\boxed{\begin{minipage}{9cm} \text{If we have negative exponents in the denominator} \\ \text{we turn over the number,} \\ \text{leaving positive exponents only.} \end{minipage}}[/tex]

Thus,

[tex]\bf{\dfrac{1}{12^{-2}}=\dfrac{12^2}{1}}[/tex]. | see, the negative exponent turned into a positive one as soon as the fraction was turned over.

[tex]\bf{144}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{=144}[/tex]

      [tex]\begin{tabular}{c | 1} Expression & Exponent Rule\\\cline{1-2} \\ x^m*x^n & add the powers \\ x^m\div x^n & subtract the powers \\(x^m)^n & multiply the powers \\ x^{-m} & turn over the number \\ x^0 & this equals one\end{tabular}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

Answer:

Let the greater number be x and the smaller number be y

A.T.Q,

x+y=32 ...(1)

x=3y ...(2)

putting the value of x from (2) in (1)

(3y)+y=32

4y=32

y= 32/4=8

x=3y

x=3(8)=24

x=24 , y=8

The amount further by which Kate can see across the horizon than Paul is; 3.33 times farther

Formula for volume of a cone is;

V = ¹/₃πr²h

For Kate:

Height (h) = 50 m

Radius (r) = 6,371,000 m

Thus;

V = ¹/₃ * π * (6,371,000)² * 50

V = 2.12526863 × 10¹⁵ m³

To determine how much further can kate see across the horizon than Paul, we have:

⇒ (2.12526863 × 10¹⁵ m³)/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

(-2 , 8)

Step-by-step explanation:

[tex]\begin{cases}y=-4x&\\ y=4x+16&\end{cases}[/tex]

We substitute y by -4x in the second equation of the system:

-4x = 4x + 16

⇔ -8x = 16

⇔ x = 16/(-8)

⇔ x = -2

Now ,we substitute x by -2 in the first equation of the system:

y = -4 × (-2) = 8

then

the solution of the system is {(x = -2 , y = 8)}

The pOH of a solution is 5.70. The correct option is C; 2.5 x 10-7 is the hydroxide ion concentration.

The pOH of the solution is the negative logarithm of hydroxide ions concentration in a solution. The lower the value of pOH more alkaline will be the solution.

Mathematically written as:

pOH = - Log[OH-]

The sum of ph and pOH is equal to 14.

pH + pOH = 14

The pOH of a solution is 5.70.

pOH = - Log[OH-]

5.70 =  - Log[OH-]

[OH-] = 2.5 x 10-7 is the hydroxide ion concentration.

The solution has a pH value of more than 7 which means that it is base.

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Answer:

x = 36°

y = 66°

z = 78°

Step-by-step explanation:

Setup equations:

Allowing the first angle to be x, the second to be y, and the third to be z, the three sentences describing the relationships between angle measures are given below:

Substituting equation 3, into equations 1 and 2

Eq1:  x + y + z = 180°

x + y + (y+12°) = 180°

x + 2y + 12° = 180°

x + 2y = 168°

x = 168° - 2y

Eq2:  y + z = 4x

substituting the result from equation 1, and Equation 3...

y + (y+12°) = 4*(168° - 2y)

2y + 12° = 672° - 8y

10y = 660°

y = 66°

Substituting back into Equation 3...

Eq3:  z = y + 12°

z = (66°) + 12°

z = 78°

Substituting both y, and z into Equation 1...

x + y + z = 180°

x + (66°) + (78°) = 180°

x + 144° = 180°

x = 36°

So, the three angle measures are:

x = 36°

y = 66°

z = 78°

"The sum of the measures of the angles of a triangle is 180."

x + y + z = 180°

36° + 66° + 78° = 180°

True

"The sum of the measures of the second and third angles is four times the measure of the first angle"

y + z = 4x

66° + 78° = 4*(36°)

144° = 144°

True

"The third angle is 12 more than the second"

z = y + 12°

78° = 66° + 12°

True

The truth values of the propositions are false, true and false

The Boolean variables are given as:

p = false

r = false

q = true

s = true

The truth values of the propositions are as follows:

1. (s → (p ∧ ¬ r)) ∧ ((p → (r ∨ q)) ∧ s)

As a general rule:

∧ means and

¬ not

∨ or

So, we have:

(true → (false ∧ ¬ false)) ∧ ((false → (false ∨ true)) ∧ true)

¬ false= true.

So, we have:

(true → (false ∧ true)) ∧ ((false → (false ∨ true)) ∧ true)

false ∧ true = false and false ∨ true = true

So, we have:

(true → false) ∧ ((false → true) ∧ true)

false → true = true and true → false = false

So, we have:

(false) ∧ (true ∧ true)

true ∧ true = true

So, we have:

false ∧ true

Lastly

false ∧ true = false

Hence, the truth value of (s → (p ∧ ¬ r)) ∧ ((p → (r ∨ q)) ∧ s) is false

2. ((p ∧ ¬ q) → (q ∧  r)) → (s ∨ ¬q)

This means

((false ∧ ¬ true) → (true ∧  false)) → (true ∨ ¬true)

Using the established rules in (1), we have:

((false ∧ false) → (true ∧  false)) → (true ∨ false)

This gives

((false → false)) → true

This gives

true → true

Lastly, we have:

true

Hence, the truth value of ((false ∧ ¬ true) → (true ∧  false)) → (true ∨ ¬true) is true

3. (p → q) ∧ (q → r)

This gives

(false → true) ∧ (true → false)

Using the established rules in (1), we have:

true ∧ false

This gives

false

Hence, the truth value of (p → q) ∧ (q → r) is false

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Answer:

A.

Step-by-step explanation:

so, the equation is

h(t) = -t² + 7t

so, we need to find the solutions for t (the time when the ball is exactly 10 ft in the air). there had to be 2 solutions, as the ball first goes up passing the 10 ft height, and then comes back down again, passing the 10 ft mark a second time. and between these 2 times the ball is higher (but not equal, so, we can only use < or > as inequality signs) than 10 ft.

10 = -t² + 7t

-t² + 7t - 10 = 0

the generation solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -1

b = 7

c = -10

t = (-7 ± sqrt(7² - 4×-1×-10))/(2×-1) =

= (-7 ± sqrt(49 - 40))/-2 = (-7 ± sqrt(9))/-2

t1 = (-7 + 3)/-2 = -4/-2 = 2 seconds

t2 = (-7 - 3)/-2 = -10/-2 = 5 seconds

so, between 2 and 5 seconds airtime the ball is higher than 10 ft.

and remember : HIGHER THAN.

so, we cannot use any equality (like <= or >=).

t must be higher than 2 and lower than 5 :

2 < t < 5

The point that is labeled H on this graph is that at 25th second, Josiah is 60 meter distance from the starting line.

Note that At the point H, there is  found to be an intersection between the distance taken by both people involve so:

Y (a)= 10 + 2x ------ Josiah

Y (0) = 3x   ----- Chana

If  Y (a)= Y (0)

Then:

10 + 2x = 3x

x = 10

F = x = 20

Y (o) = 60

If x = 20

= then Y(0) = 3 x 20

= 60

Therefore, The point that is labeled H on this graph is that at 25th second, Josiah is 60 meter distance from the starting line.

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The most effective in controlling the confounding variables is matched pairs design.

A matched pairs design is when participants are matched based on shared characteristics that is of importance to the experiment. One member of the pair is put in the control group while the other is put in the experimental group.

Here are the options:

A completely randomized design experiment

A longitudinal observational study

A retrospective observational study

A matched-pair design experiment

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Answer:

-3

Step-by-step explanation:

Equation: (x + 6) - 5 = -2

we want to isolate x

(x + 6) - 5 = -2              

          + 5    + 5      (add 5 to start getting x on its own)

x + 6 = 3                

  - 6      - 6                 (subtract 6 to isolate x)

x = -3

so, this answer was not provided, but is the correct answer.

The solution to this equation is -3,

so, the correct answer is: -3.

Here, we have,

given that,

Equation is:

(x + 6) - 5 = -2

we want to isolate x

(add 5 to start getting x on its own)

(x + 6) - 5+ 5 = -2 + 5                          

(subtract 6 to isolate x)

x + 6 - 6 = 3   - 6              

so, we get,                  

x = -3

so, the solution to this equation is -3,

so, the correct answer is: -3.

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The number of the blue marbles are in the box will be 102.

The solution of the equation means the value of the unknown or variable.

A box contains 162 marbles which are either red (r) or blue (b).

r + b = 162 ...1

There are 42 more blue marbles than red marbles.

b = r + 42 ...2

Then from equation 1 and 2, we have

r + r + 42 = 162

           2r = 120

             r = 60

Then the number of blue marble will be

b = 60 + 42

b = 102

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Answer:

356000000

Step-by-step explanation:

1. Simplify the expression

Calculate the expression inside the parentheses.

[tex](1.5*10^8)+(2.06*10^8)[/tex]

Simplify exponents and square roots

[tex](1.5*10^8)+(2.06*10^8)[/tex]

[tex](1.5*100000000)+(2.06*10^8)[/tex]

Perform any multiplication or division, from left to right:

[tex](1.5*100000000)+(2.06*10^8)\\[/tex]

[tex](150000000)+(2.06*10^8)[/tex]

Simplify exponents and square roots

[tex]150000000+(2.06*10^8)[/tex]

[tex]150000000+(2.06*100000000)[/tex]

Perform any multiplication or division, from left to right:

[tex]150000000+(2.06*100000000)[/tex]

[tex]150000000+(206000000)[/tex]

Calculate any addition or subtraction, from left to right.

[tex]150000000+206000000[/tex]

[tex]356000000[/tex]

Why learn this

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

Answer:

Her balance at the beginning of November=$973.76

Step-by-step explanation:

What is Natasha's credit balance at the beginning of November?(i.e. at the end of October)

The balance at the end of each month is the beginning balance plus the current month's purchases minus the minimum payment for the month.

Sept =$922.93+$33.70+9.89%/12*($922.93+$33.70)

Sept=$964.51

payment= 964.51*3.08%

balance at the end of Sept=$964.51-($964.51*3.08%)

balance at the end of Sept=$934.80

Oct=$934.80+$61.70+9.89%/12*($934.80+$61.70)

Oct=$ 1,004.71

payment=$1,004.71*3.08%

balance at the end of Oct(at beginning of Nov)=$ 1,004.71-($1,004.71*3.08%)

balance at the end of Oct(at beginning of Nov)=$973.76

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Answer:

The answer is C.$1,000.93 just did it om edge

Step-by-step explanation:

x + 3x + 5x ( the variables are same you can add them immediately )

9x ( the answer is 9x for adding terms with the same variable just add the numbers and write the variable as itself)

HOPE IT HELPS

Answer: 9x

Step-by-step explanation:

As the variables are of same power (1) we can add it

x+3x+5x=9x

Billy get 5.9% raise after completing first year.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

                            = 45000 - 42500

                            = $ 2500

% Change = change / initial salary  X 100

                  = 2500 / 42500 X 100

                  = 0.0589 X 100

                  ≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

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Answer:

/.............................../././///////////////////////////////////////

Step-by-step explanation:

.

Answer:

here

Step-by-step explanation:

To make sure the flip is in unison after 4  seconds should the flip occur, as given by option C: 4 seconds.

We have given that,

Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience.

Synchronized motion is a motion of two or more system which goes in synchronization with each other.

For this case, the flip will occur such that both gymnasts are synchronized and the flip is in unison (simultaneous).

For that, we need the time(x) and the height (y) same.

Since the motion paths are:

[tex]y=-(x-5)^2+3[/tex]

[tex]y=-3(x-3)^2+x+1[/tex]

Therefore, we need to find the values of x for which the same y comes as output.

Let x =  t be the time for which the height y is the same, then:

[tex]-(t-5)^2+3=-3(t-3)^2+t+1[/tex] = height achieved by both gymnasts.

Solving it further:

[tex]-(t-5)^2+3=-3(t-3)^2+t+1[/tex]

t=4,t=1/2

Assuming they planned to do a flip after an integral number of time in seconds, the correct option is t = 4 seconds.

Thus, to make sure the flip is in unison after 4  seconds should the flip occur, as given by the option C: 4 seconds.

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