(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  [tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]

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The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

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Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

Answer:

a = 2

b = 4

Step-by-step explanation:

Δy   = 2x + a.................for turning point, Δy/Δx = 0.

Δx

0 = 2x + a

x = -a/2.........from ( -1, 3), x = -1...............so,

-1 = -a/2.................a = 2.

y = x^2 + ax + b.

y = 3  ,    a = 2.................substitute.

3 = (-1)^2 + 2(-1) + b

3 = 1 -2 + b

b = 4

Answer:

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

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

[tex]\sf \implies y=(x+1)^2+3[/tex]

[tex]\sf \implies y=x^2+2x+1+3[/tex]

[tex]\sf \implies y=x^2+2x+4[/tex]

Therefore, a = 2 and b = 4

Answer:

x = 4

y = -6

Step-by-step explanation:

5x + 2y = 8

8x + 4y = 8

-2(5x + 2y) = -2(8)

8x + 4y = 8

-10x -4y = -16

8x + 4y = 8

-10x -4y + 8x + 4y = -16 + 8

-2x = -8

x = 4

plug 4 into x so y = -6

Answer:

The 7th term of this geometric progression is -486

Answer:Cost = $33 per month + Fee 1.  C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2.  At 9 months:  33(9) + 30 = $327

Step-by-step explanation:

Answer: -63.5 feet per mintue

Step-by-step explanation:

      We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

      Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

      -63.5 feet per mintue

Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Hence, the shape of the frequency curve will be approximately normal.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

Step-by-step explanation:

8-(x-2)=2x+(10-3x)

We move all terms to the left:

8-(x-2)-(2x+(10-3x))=0

We add all the numbers together, and all the variables

-(x-2)-(2x+(-3x+10))+8=0

We get rid of parentheses

-x-(2x+(-3x+10))+2+8=0

We calculate terms in parentheses: -(2x+(-3x+10)), so:

2x+(-3x+10)

We get rid of parentheses

2x-3x+10

We add all the numbers together, and all the variables

-1x+10

Back to the equation:

-(-1x+10)

We add all the numbers together, and all the variables

-1x-(-1x+10)+10=0

We get rid of parentheses

-1x+1x-10+10=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Step-by-step explanation:

[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]

0.2m^3 = 0.0000002 cm^3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{} = \sqrt{ 18}[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 3 \sqrt{2} [/tex]

Therefore, the correct choice will be A

Answer:

At both 0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

Step-by-step explanation:

We can use two approaches to finding the answer:  Calculation and Graphing.

Calculation:

Set h to 20 feet and solve the equation using the quadratic formula.

h= 4 + 33t - 16t^2

20= 4 + 33t - 16t^2

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t + -16 = 0

Solve using the quadratic formula.  I find solutions of 0.779 and 1.28 seconds.

Graphing:

See the attached graph.

The ball is at 20 feet at 0.783 seconds on the way up and 1.28 seconds on the way back down.

===

Both approaches agree:  0.78 and 1.3 seconds, to the nearest hundredth, the ball will be at 20 feet.  

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

Find out more on linear function at: https://brainly.com/question/4025726

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

Answer:

4095 yd³ for K12

Answer:

800m

Step-by-step explanation:

If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)

Answer:

215 minutes

Step-by-step explanation:

1 hour = 60 min

3x60=180

180+35=215

Answer:

The answer is 215 minutes

Step-by-step explanation:

1 hour is 60mintues

you have 3 hours so you would do

60+60+60=180 or 60*3=180

then take the 35 minutes you have and add those together.

180+35=215 total minutes

Hope this helps mark brainliest please! :)

The cost of 1kg of coal mined from the ore is $0.0397

Data;

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

[tex]1ton = 907kg\\[/tex]

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

https://brainly.com/question/870035

Answer:

Its the first one, y is always the output and y =mx+b, b is always the y-intercept and m is always the slope

Step-by-step explanation:

Answer:

A. y is the output, x is the input, m is the slope and b is the y-intercept

Step-by-step explanation:

In an equation y = mx + b, we know that:

x is the input

y is the output

m is the slope

b is the y-intercept

Looking for an answer that matches these criteria, we can say that the answer is A.

Answer:

80 ounces

Step-by-step explanation:

1 pound is 16 ounces

5 pounds is x ounces.

[tex]\frac{1}{16}=\frac{5}{x}[/tex]

Cross multiply.

[tex]\frac{16*5}{1}=80[/tex]

Answer:

Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1

Step-by-step explanation:

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

please mark me as brainlest

Answer:

for profit percentage

p% =(sp-cp/cp)×100%

=(25-20/20)×100%

=25%

The profit percentage is 25%

Answer:

x = y = - 1

Step-by-step explanation:

y = - 2x - 3

y = 7x + 6 -----> equation 1.

So,

7x + 6 = - 2x - 3

7x + 2x = - 3 - 6

9x = - 9

Divide 9 on both sides,

9x / 9 = - 9 / 9

x = - 1

Substitute x = - 1 in equation 1,

y = 7x + 6

  = 7 ( - 1 ) + 6

  = - 7 + 6

  = 6 - 7

y = - 1

Therefore,

x = y = - 1

Step-by-step explanation:

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Answer:

h= 7/6 mm

Step-by-step explanation:

hello :

the area is :  A= (b+B)×h/2

calculate h the height  : 2A = (b+B)×h

so:  h = 2A/(b+B)

you have : A=21/5   and  b= 3    and B= 21/5

h= 2(21/5)/(3+21/5)

h= (42/5) /(36/5)

h= 42/36

h= 7/6 mm

Answer: 343pi/18

Step-by-step explanation:

Answer:

They have 23 miles left to travel.

Step-by-step explanation:

If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23

Answer:

Theories used

Angles on a straight line will always add up to 180°

The sum of interior angles in a triangle is 180°

Question 7

a + 134° = 180°

⇒ a = 180° - 134°

⇒ a = 46°

b + 119° = 180°

⇒ b = 180° - 119°

⇒ b = 61°

a + b + c = 180°

⇒ 46° + 61° + c = 180°

⇒ c = 180° - 46° - 61°

⇒ c = 73°

Question 8

r + 126° = 180°

⇒ r = 180° - 126°

⇒ r = 54°

s + 145° = 180°

⇒ s = 180° - 145°

⇒ s = 35°

r + s + t = 180°

⇒ 54° + 35° + t = 180°

⇒ t = 180° - 54° - 35°

⇒ t = 91°

#7

c=

#8