What is the value of 4n(n =2)^3
when n = -8?

Answer:

6x^2 -31x +40

Step-by-step explanation:

2x * 3x + 2x * - 8 + -5 * 3x -5 * -8  Distributive property

6x^2 -16x -15x + 40  Math

6x^2 -31x +40 Answer

Answer:

x = 18

A = 110

Step-by-step explanation:

Angles A and B are supplementary angles so they add to 180 degrees

A + B = 180

5x+20 + 9x -92 = 180

Combine like terms

14x -72 = 180

Add 72 to each side

14x-72+72 = 180+72

14x = 252

Divide each side by 14

14x/14 = 252/14

x =18

A = 5x+20

  = 5*18 +20

   =90 +20

   = 110

(he got 2 wrong answers, and 13 correct answers)

=====================================================

Explanation:

c = number of correct answers

w = number of wrong answers

m = number of missing answers (ie, omitted answers)

7c = number of points awarded from just the correct answers

-2w = number of points awarded from the wrong answers. Note the negative to indicate we lose points here.

0m = 0 = points from the missing answers. We don't have to worry about this portion

In total, Jack would earn 7c-2w points. Since he actually earned 87 points, we can write the equation 7c-2w = 87. We'll come back to this later.

-----------------------

The quiz has 20 questions, so c+w+m = 20 is another equation we'll be working with. Solve for c to get c = -w-m+20. Plug this into the equation 7c-2w = 87 to get...

7c-2w = 87

7(-w-m+20)-2w = 87 ... replace c with (-w-m+20)

-7w-7m+140-2w = 87 ... distribute

-9w-7m+140 = 87

-9w-7m = 87-140

-9w-7m = -53

9w+7m = 53

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From here, you use trial and error. We don't have enough information to finish solving the system. We would need 3 equations to solve for the 3 unknowns.

What we can do is make a guess of what w could be and use that to find m. Luckily there is a small list of possible values for w.

So let's say w = 0

9w+7m = 53

9(0)+7m = 53 ... plug in w = 0

7m = 53

m = 53/7 ... divide both sides by 7

m = 7.57

We got a non-whole number, so there is no way w = 0 since we can't have 0.57 of a question missing. Jack either answers the question, or he skips it. He can't have both happen.

---------------------

Let's repeat for w = 1

9w+7m = 53

9(1)+7m = 53 ... replace w with 1

9+7m = 53

7m = 53-9 ... subtract 9 from both sides

7m = 44

m = 44/7 ... divide both sides by 7

m = 6.28

So we can see that w = 1 isn't possible either.

---------------------

However, w = 2 is possible

9w+7m = 53

9(2)+7m = 53

18+7m = 53

7m = 53-18

7m = 35

m = 35/7

m = 5

Meaning that Jack got w = 2 wrong answers and skipped over m = 5 questions. The number of correct answers is c = 20-m-w = 20-5-2 = 13

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An alternative to using trial-and-error is to use a graph.

Replace w and m with x and y respectively. So we go from 9w+7m = 53 to 9x+7y = 53

Use a graphing tool, or plot the graph on graph paper, to get what you see in the diagram below. I used the program GeoGebra to graph.

Then notice how the graph goes through the point (2,5) which means x = 2 and y = 5. Replace x and y with w and m to find (w,m) = (2,5)

note: the point (5,1) looks like it also lies on the graph, but it is not a solution. It's just a point that is very close to the line. I recommend you try out (w,m) = (5,1) and you'll see it doesn't work.

Answer:

$1788

Step-by-step explanation:

1200 x 0.07 = 84

84 × 7 = 588

588 + 1200 = 1788

The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

Since

The initial deposit is $1.200

The rate of interest is 5%

Now the future value be like

[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]

= 13893.4711 + 1,200

= $15,093.47

hence, The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

Learn more about rate here: https://brainly.com/question/14835033

Answer:

(1) Please find attached the graph of the data

(2) 160.396 m

(3) The correlation that exist is a straight line correlation

Step-by-step explanation:

The given data are;

Distance,         Time

(m),                    (s)  

50,                    6.1

100,                   12

150,                   18.3

200,                  25.2

250,                   31.7

(2)

Based on the linear regression formula, we have;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]b = \dfrac{5 \times 17215 - 93.3 \times 750}{5 \times 2156.03 -8704.89} = 7.758[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

[tex]a = \dfrac{750 - 7.7581 \times 93.3}{5}= 5.234[/tex]

The line is

y = 7.7581×x+5.234

When t = 20 s, we have

y = 7.7581*20+5.234 = 160.396 m

(3) The correlation that exist is a straight line correlation

Answer:

see explanation

Step-by-step explanation:

Any term in a Fibonacci sequence is the sum of the previous 2 terms.

Given the first 3 terms then

a₄ = a₂ + a₃ = x + y + y = x + 2y

a₅ = a₃ + a₄ = y + x + 2y = x + 3y

a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y

a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y

Thus the next four terms are

x + 2y, x + 3y, 2x + 5y, 3x + 8y

Answer:

25%

Step-by-step explanation:

Percent change = 100 - 80

|80|

x 100 = 20

80

x 100 = 25

Answer:

25%

Step-by-step explanation:

Answer:

B.) 7 in

Step-by-step explanation:

A regular hexagon can be divided into 6 congruent equilateral triangle. The measure of an angle of an equilateral triangle is 60 deg. The angle formed by sides b and c measures 60 deg.

tan A = opp/adj

tan 60 deg = 12/b

b * tan 60 deg = 12

b = 12/(tan 60 deg)

b = 7 in

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

Answer: Option B is the correct answer.

The identity property of addition

Answer:

Step-by-step explanation:

m= month

3÷100= 0.03

0.03×500=$15

$15/m

$15×5×12=$900

$500-$900=

Answer: -$400

Answer:

25 cm^2

24 cm

Step-by-step explanation:

5*5 = 25 cm^2

Make sure not to forget the cm^2, otherwise you will get it wrong

10 + 14 = 24 cm

this is only perimeter so only cm

Answer:

25 cm²

24 cm

Step-by-step explanation:

Area of a Square: A = lw

Since the sides of a square are all the same, we have A = 5(5) = 25 cm²

Perimeter of a Rectangle: 2w + 2l

Simply plug it in:

P = 2(7) + 2(5)

P = 14 + 10

P = 24 cm

Answer:

Step-by-step explanation:

Let the number be X

According to Question,

[tex]4 + \frac{3}{4} x = 1[/tex]

[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]

[tex] \frac{3}{4} x = - 3[/tex]

[tex]x = \frac{ - 3 \times 4}{3} [/tex]

[tex]x = \frac{ - 12}{3} [/tex]

[tex]x = - 4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

its 60-15(pie) sq inches

Step-by-step explanation:

Answer:

(x+1)^2 = 49

x = 6                 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1  ±7

x = -1+7          x = -1 -7

x = 6                 x = -8

Answer:

the fourth set

Step-by-step explanation:

if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                             [tex]5x^2-2x+16=4x^2+6x\\\\5x^2-2x+16-4x^2-6x=0\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4)^2=0\\\\x-4=0\\\\x=4[/tex]

Hello names smiley!

for your answer for this is  A  circle with diameter 10cm will have a circumference of approximately 31.4cm

or

10cm x 3.14 = 31.4 Circumference = 3.14 x diameter

Step-by-step explanation:

its ok if you dont give brainliest i just want to help!  

bye!

Answer:

36

Step-by-step explanation:

So, FD is a midsegment. (D is a midpoint and so is F)

This midsegment connects the two sides EC and AE. The third, remaining, side is AC.

The midsegment is half as long as the third side.

FD = 18.

FD is half of the third side.

FD times 2 = third side.

18 times 2 = 36

The third side, AC, is 35 units long.

Words of encouragement:

Good luck!

Hello! :)

—————— ☆ ☆———————————————————————————-

Answer:

5.3 seconds

Step-by-step explanation:

The answer is 5.3 seconds because

If you solve this equation than you will see how it is 5.3 seconds.

Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]

Also if you graph it, the answer will be 5.3 seconds

—————— ☆ ☆————————————————————————————

Hope this helps! :)

By: BrainlyMember ^-^

Good luck!

Answer:

^ as the other person said, it's 5.3

Step-by-step explanation:

edge

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

$49.71

Step-by-step explanation:

Take $54.99 - 20% to get $43.99 add 13% and get $49.71

Answer:

The factors of the polynomial are:

(x + 1) and (x - 3).

Step-by-step explanation:

Consider the image attached.

The upper tiles shows: (x + 1)

And the left tiles shows: (x - 3)

So, the factors of the polynomial are:

(x + 1) and (x - 3).

Answer:

x+1 and x -3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]

[tex]++ = +[/tex]

[tex]-+ = -[/tex]

[tex]+- = -[/tex]

[tex]( +)2 + ( -)2 + ( -)2[/tex]

[tex]2-2-2[/tex]

[tex]=-2[/tex]

Answer:

13.5 glasses of water

Step-by-step explanation:

If:

1 water glass can hold 2/9 of a litre

x water glasses can hold 3 litres.

Therefore, expressing it as a litre to glass ratio, we have::

[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]

Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.

Answer:   $1450

The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,

                         P = 20x - 50

For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,

                       P = 20(75) - 50 = 1450

Thus, the company will make a profit of $1450 by production of 75 jeans. 

Step-by-step explanation:

The company will make a profit of $1450 by the production of 75 jeans.

The profit that is gained from the production and selling of the jeans is modeled by the equation;

P = 20x - 50

If 75 jeans are produced, substitute 75 to represent the value of x in the equation.

P = 20(75) - 50 = 1450

Hence, the company will make a profit of $1450 by the production of 75 jeans.

Larn more on functions and values here: https://brainly.com/question/10439235

Answer:

Step-by-step explanation:

I think it's B but I'm not 100% sure