WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answer:

Step-by-step explanation:

There is only one intercepting point, it means one solution.

Answer:

[tex]a^2+2ab+b^2[/tex]

Step-by-step explanation:

If we have [tex](a+b)^2[/tex] we can calculate this as:

[tex](a+b)*(a+b)[/tex]

So, applying distribution property, we get:

[tex](a+b)*(a+b)=a*a+a*b+b*a+b*b[/tex]

Where:

[tex]a*a=a^{2}[/tex]

 [tex]b*b=b^2[/tex]

[tex]a*b=b*a=ab[/tex]

so:

[tex](a+b)*(a+b)=a^2-ab+ab+b^2\\(a+b)*(a+b)=a^2+2ab+b^2[/tex]

Answer:

1/24

Step-by-step explanation:

In the above question, we are asked to solve for:

start fraction, 3, divided by, 8, end fraction, divided by, 9, equals

Mathematically, this is represented as:

(3/8) ÷ 9

= (3/8) × 1/9

= 3/72

= 1/24

Therefore, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals 1/24

Answer:

Step-by-step explanation:

you have the hypotenuse side and adjacent side, so you would use cosine (adj/hyp). since you are trying to find the angle, you use the inverse operation.

put it in the calculator and you should get 0.98176535657.

Answer:

2 28ounce cans and 4 15ounce cans

Step-by-step explanation:

28+28=56 and 15+15+15+15=60

56+60=116

Answer:

your answer is the second option

Step-by-step explanation:

Answer:

The last option

Step-by-step explanation:

The centroid is the point that is equidistant from all the vertices, not the incenter. Furthermore, the incenter is formed by finding the point of concurrency (intersection) of the angle bisectors.

Answer:

Approximately 13.9 units.

Step-by-step explanation:

First, note that ΔTVW is a right triangle.

Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.

Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:

[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]

Answer:

[tex] y = A_o (b)^t[/tex]

With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

[tex] 41.3= 82.6(b)^{12}[/tex]

And solving for b we got:

[tex] \frac{1}{2}= b^{12}[/tex]

And then we have:

[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]

And the model would be given by:

[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]

Step-by-step explanation:

Assuming this complete question: "A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 12 hours. At the start of the experiment, 82.6g is present. "

For this case we can create a model like this one:

[tex] y = A_o (b)^t[/tex]

With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

[tex] 41.3= 82.6(b)^{12}[/tex]

And solving for b we got:

[tex] \frac{1}{2}= b^{12}[/tex]

And then we have:

[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]

And the model would be given by:

[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]

Answer:

22% of the two classes were elected to the student committee

Step-by-step explanation:

Given

class 9 : class 10 = 3:2 = 60% : 40%

Total fraction = 60% * 30% + 40% * 10% = 18% + 4% = 22%

The sum appears to be

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]

I'll assume you want to find out what function this sum converges to.

Let

[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]

with -1 < x < 1. Differentiating gives

[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]

So we have

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]

Answer:

c

Step-by-step explanation:

c

Answer:

the answer is C ;D

Step-by-step explanation:

Answer:

[tex]125m {}^{3}n {}^{6} [/tex]

Step-by-step explanation:

Since

[tex]a {}^{b} \times a {}^{c} = a {}^{b + c} [/tex]

[tex](5mn {}^{3} ) {}^{3} = (5) {}^{3}(m) {}^{3} (n {}^{3}) {}^{3} = 125m {}^{3}n {}^{3 + 3} = 125m {}^{3}n {}^{6} [/tex]

Hope this helps :) ❤❤❤

Answer:

[tex]125m^3n^9[/tex]

Step-by-step explanation:

[tex](a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^{bc}\\\\\rightarrow (n^3)^3=n^{3*3}=n^9\\\\\boxed{125m^3n^9}[/tex]

Brainilest Appreciated.

Answer:

The equation of a circle centered in the point (a, b) and with a radius R.

(x - a)^2 + (y - b)^2 = R^2

Then, if you move the circle to the left, then you are decreasing the value of b.

Where b = 0 means that the center of the circle lies on the y-axis.

When you move the graph to the right you will be increasing the value of b.

Answer:

The variable h changes as the center of the circle moves horizontally. The sign of h is negative when the center is to the left of the y-axis and positive when it is to the right of the y-axis. The sign of the variable h flips when the center moves across the y-axis.

Step-by-step explanation:

plato answer from Equation of a Circle: Tutorial :)

This link will take you to a quizlet that is on this lesson with the other answers and test question answers!!

https://quizlet.com/519491317/geometry-b-unit-7-flash-cards/#:~:text=Move%20the%20center%20of%20the%20circle%20vertically%20so%20it%20lies,of%20the%20circle%20moves%20vertically.

Answer:

Option A.

Step-by-step explanation:

See attachment.

Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

Answer:

4 packages of AA batteries

6 packages of AAA batteries.

Step-by-step explanation:

Let the number of packages of AA batteries bought be x

Let

the number of packages of AAA batteries bought be Y

He Brought 10 packages of AA and AAA

thus,

x+y = 10   equation 1

Given

The AA batteries are sold in packages of 6, it means one packet contains 6 batteries

Thus,

Total number of AA  batteries in x packages = 6x

The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries

Thus,

Total number of AAA  batteries in y packages = 8y

Given total no. of batteries is 72

thus    

6x + 8y = 72   equation 2

x+y = 10

y = 10-x ---using this in equation 2

6x + 8(10 - x)  = 72  

=> 6x + 80 - 8x = 72

=> -2x = 72-80 = -8

=> x = -8/-2 = 4

y = 10 -x = 10 -4 = 6

y = 6

Thus,

he bought 4 packages of AA batteries

6 packages of AAA batteries.

Answer:

Step-by-step explanation:

Given the revenue of selling a new video game modeled by the equation f(x)=-3x² + 21x + 54 where x is the price of the game and y is the revenue, to calculate the price of game x that would result in no revenue, we will set the revenue f(x) to be zero and then solve the resultinf equation.

at f(x) = 0;

0 = -3x² + 21x + 54

0 = -x² + 7x + 18

Multiplying through by minus sign

x² - 7x - 18 = 0

Factorizing the resulting expression;

x² - 9x+2x - 18 = 0

(x² - 9x)+(2x - 18) = 0

x(x-9)+2(x-9) = 0

(x-9)(x+2) = 0

x-9 = 0 and x+2 = 0

x = 9 and -2

Neglecting the negaive value of x;

x = 9

Hence, the price of the game, x, that would result in no revenue is 9.

Answer:

11 and 2/3.

Step-by-step explanation:

6 and 3/12 = 72/12 + 3/12 = 75/12.

5 and 5/12 = 60/12 + 5/12 = 65/12.

75/12 + 65/12 = 140 / 12 = 70 / 6 = 35 / 3 = 11 and 2/3.

Hope this helps!

Answer: 11 2/3

Step-by-step explanation:

[tex]6\frac{3}{12}+5\frac{5}{12}[/tex]

[tex]Add\:whole\:numbers[/tex]

[tex]6+5=11[/tex]

[tex]Combine\:fractions[/tex]

[tex]\frac{3}{12}+\frac{5}{12}=\frac{8}{12}[/tex]

[tex]Simplify[/tex]

[tex]\frac{8}{12} =\frac{2}{3}[/tex]

[tex]11+\frac{2}{3}[/tex]

[tex]=11\frac{2}{3}[/tex]

Answer: Pam earns $41,667 in one year.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Pam's salary (x) multiplied by the percentage represented by expenses (18%) in decimal form (divided by 100) must be equal to $7500.

Mathematically speaking:

x (18/100) = 7500

Solving for x:

x (0.18) = 7500

x = 7500/0.18

x = 41,667

Pam earns $41,667 in one year.

Feel free to ask for more if needed or if you did not understand something.

Answer:

11.95

Step-by-step explanation:

435 divided by 8 is 54.375

650 divided by 54.375 is 11.95 (Rounded)

Answer:  11.95 hours

Step-by-step explanation:

[tex]\dfrac{435\ miles}{8\ hrs}=\dfrac{650\ miles}{x}\\\\\\435x=8(650)\\\\\\x=\dfrac{8(650)}{435}\\\\\\x=\large\boxed{11.95}[/tex]

Answer:

D, or the last option.

Step-by-step explanation:

See how the rotation does not say whether it is Clockwise or Counterclockwise?

Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.

Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).

So, 90* rotation CCW. Simple! Thus, the last option should be correct.

Hope this helps!

P.S. Stay Safe!

Answer:

22.33%

Step-by-step explanation:

First, divide 67 by 300. Next, take this result and multiply it by 100

67÷300=0.2233

0.2233×100=22.33

So the answer is 22.33%

Answer:

$122.1

Step-by-step explanation:

We are given the following data in the question

$124, ​$256 ​, $118, ​$441, ​$122, ​$335, ​$340, ​$191

Step 1

Find the mean

Mean = Sum of Terms / Number of Terms

Number of Terms = 8

Mean = ($124 + $256 ​+ $118 + ​$441 + $122 + ​$335 + ​$340 + ​$191 )/ 8

Mean = $1927/8

= $240.875

Approximately to 1 decimal place

$240.9

Step 2

Standard deviation formula

S = √( x - μ)²/ N - 1),

N = Number of terms

μ = Mean

S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + (​$441 - $240.9)² + ($122 - $240.9)² + ​($335 - $240.9)² + ​($340 - $240.9)²+ ​($191 -$240.9)²/ 8 - 1]

S = $122.0895

Approximately to 1 decimal place

S = $122.1

Therefore, the standard deviation for the given data is $122.1

I'll be using the following properties about exponents:

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex]a^b \div a^c=a^{b-c}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

where a, b, and c are some positive integers

Part a:

[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]

Part b:

[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]

Part c:

[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]

Part d:

[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]

Part e:

[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]

Part f:

[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]

These should be all the answers. Let me know if you need any clarifications, thanks!

Answer:

6 papers

Step-by-step explanation:

5 minutes = 5 * 60 = 300 seconds

He needs to save 30 seconds

300 - 30 = 270 seconds

270 seconds / 42.5 seconds per paper

6.352941176 papers

Rounding down since he want to completely grade the paper

6 papers

Answer:

306 mi^2

Step-by-step explanation:

surface area = area of base + lateral area

surface area = s^2 + 4bh/2

surface area = (10 mi)^2 + 4(10 mi)(10.3 mi)/2

surface area = 306 mi^2

Answer:

[tex] \boxed{\sf b. \ 8(2a + 9)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 16a + 72 \\ \\ \sf Factor \: 8 \: out \: of \: 16a + 72: \\ \sf \implies 8 \times 2a + 8 \times 9 \\ \\ \sf \implies 8(2a + 9)[/tex]

Answer:

Step-by-step explanation:

If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.

1st angle: x

2nd angle: x + 20%

3rd angle: x - 20%

By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:

x + (x + 20%) + (x - 20%) = 180 and

3x = 180 so

x = 60. That means that

2nd angle: 60 + (.2*60) which is

60 + 12 = 72 and

3rd angle: 60 - (.2*60) which is

60 - 12 = 48. Let's check those angles. If

∠1 = 60

∠2 = 72

∠3 = 48,

then ∠1 + ∠2 + ∠3 = 180 and

60 + 72 + 48 does in fact equal 180, so you're done!

Answer:

5 cm

Step-by-step explanation:

The length of the drawing will be 450 / 90 = 5 cm.