the coordinates of the vertices of a polygon are shown below
D(-4,5),E(-1,5),F(1,2), and G(-1,-1)

what type of polygon is this figure?
heptagon
hexagon
octagon
quadrilateral​

Answer:

$420

Step-by-step explanation:

This the problem of compound interest

If any amount P is invested at rate of r% per year then its value after n years is given by

amount = [tex]p( 1+ r/100)^n[/tex]

______________________________

Given

p = $190

r =8%

n = 10 year then

[tex]amount = p( 1+ r/100)^n\\=> amount = 190( 1+ 8/100)^10\\=> amount = 190( 108/100)^10\\=> amount = 410.20[/tex]

Thus, value of the investment at the end of 10 years is $420.

Answer: 342

Step-by-step explanation:

This is a SIMPLE INTEREST question:

SI = prt

SI = 190 x 0.08 x 10

SI = 152

Amount = 190 + 152 = 342

Answer:

2.99

Step-by-step explanation:

Take the total cost and divide by the number of cards

71.76/24 = 2.99

The cost per car is 2.99

Answer:

b. $2.99.

Step-by-step explanation:

To get the price per car, you get the total price divided by the total number of cars.

That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!

Hope this helps!

Answer:

28.26 unit^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

18.84 = 2 * 3.14 * r

18.84 = 6.28 r

Divide each side by 6.28

18.84 /6.28= 6.28 r/6.28

3 = r

The area of a circle is given by

A = pi r^2

A =3.14 * 3^2

   = 28.26 unit^2

Answer:

Step-by-step explanation:

Solution,

Circumference of circle= 18.84 units

Finding the radius,

Circumference of circle= 18.84

or,

[tex]2\pi \: r = 18.84 [/tex]

or, 2 * 3.14 * r = 18.84

or, 6.28 r = 18.84

or, r= 18.84/6.28

r = 3 units

We have,

Radius= 3 units

Finding the area of circle:

[tex]\pi \: {r}^{2} [/tex]

plugging the value of radius(r)

= 3.14 * (3)^2

= 3.14 * 9

= 28.26 units^2

hope this helps...

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

[tex]a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}[/tex]

So, the explicit formula is for n

[tex]\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The explicit rule is aₙ = a₀(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio.

We have been given that geometric sequence as:

600, 300, 150, 75, ...

To determine the explicit rule for the geometric sequence, we have to find the common ratio.

Here the first term (a₀) is 600

So the common ratio = 300/600 = 150/300 = 75/150 = 1/2

Thus, the explicit formula for n would be:

aₙ = a(1/2)ⁿ = 600(1/2)ⁿ

Therefore, the explicit rule is aₙ = a(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

Learn more about the geometric series here:

brainly.com/question/21087466

#SPJ2

Answer:

1/2

Step-by-step explanation:

The numbers that are 6 or even on the cards are 2, 4, and 6.

3 cards out of a total of 6 cards.

3/6 = 1/2

Answer:

1/2 chance

Step-by-step explanation:

There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.

Answer:

  the height of the cylinder is 7 units greater than the radius

Step-by-step explanation:

When you match the forms of the equations ...

  [tex]V=\pi r^2(r+7)\\V=\pi r^2h[/tex]

you see that the factor (r+7) corresponds to the height (h) of the cylinder. That is ...

  the height of the cylinder is 7 units greater than the radius.

Answer:

work is shown and pictured

Answer:

3/4

Step-by-step explanation:

The numbers odd or less than 3 are 2, 3, and 5.

3 numbers out of 4.

P(odd or less than 3) = 3/4

Answer:

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Step-by-step explanation:

This can be modeled by a binomial random variable, with sample size n=20 and probabillity of success p=0.2.

The probability of getting k answers right can be calculated as:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.2^k\cdot0.8^{20-k}[/tex]

Now, we have to calculate the probabiltiy that 10 or more answers are correctly answered guessing. This is P(x≥10).

[tex]P(x\geq10)=P(x=10)+P(x=11)+P(x=12)+P(x=13)+P(x\geq14)[/tex]

Note: the expression is simplified for x≥14 because we know the additional probability is less than 0.00005.

[tex]P(x=10)=\dbinom{20}{10}\cdot0.2^{10}\cdot0.8^{10}=184756\cdot0.0000001\cdot0.1074=0.0020\\\\\\P(x=11)=\dbinom{20}{11}\cdot0.2^{11}\cdot0.8^{9}=167960\cdot0.00000002\cdot0.1342=0.0005\\\\\\P(x=12)=\dbinom{20}{12}\cdot0.2^{12}\cdot0.8^{8}=125970\cdot0\cdot0.1678=0.0001\\\\\\P(x=13)=\dbinom{20}{13}\cdot0.2^{13}\cdot0.8^{7}=77520\cdot0.000000001\cdot0.2097=0.0000\\\\\\P(x\geq14)=0.0000[/tex]

[tex]P(x\geq10)=0.0020+0.0005+0.0001+0.0000+0.0000=0.0026[/tex]

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Answer:

a) [g ° h](x)  = 3x² +6

b) [h ° g](x) =3 x²+36x+108

Step-by-step explanation:

Explanation:-

a)

Given g(x) = x+6 and h(x) = 3x²

Given [g ° h](x) = g(h(x))

                          = g(3x²)       (∵ h(x) =3x²)

                         = (3x²)+6      (∵ g(x) =x+6)

∴ [g ° h](x)  = 3x² +6

b)

Given [h ° g](x) = h (g(x))

                          = h(x+6)     (∵ g(x) =x+6)

                         = 3 (x+6)²    (∵ h(x) =3x²)

                         = 3 (x²+2(6)x+36)    (∵ (a + b)² = a²+2ab+b²)

                         = 3 (x²+12x+36)

                        = 3 x²+36x+108)

     ∴ [h ° g](x) =3 x²+36x+108

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) * 2 = 6^2

2(x+2) = 36

Divide each side by 2

x+2 = 18

Subtract 2

x+2-2 = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

According to tangent-secant Theorem:

(Tangent)² = (External Part of the secant)(Whole Secant)

(6)² = (2)(2+x)

36 = 4+2x

Subtracting 4 from both sides

36-4 = 2x

=> 2x = 32

Dividing both sides by 2

Answer:

the last one is correct

Step-by-step explanation:

hello,

-4(-11+4n)-3(-2n+9) = 44 - 16n + 6n - 27 = -10n + 17

hope this helps

Answer:

-38.

Step-by-step explanation:

p(x) = -x^3 - 2x^2 + 7

p(3) = -(3^3) - 2(3^2) + 7

p(3) = -27 - 2(9) + 7

p(3) = -27 - 18 + 7

p(3) = -45 + 7

p(3) = -38

Hope this helps!

Answer:

p(3) = -38

Step-by-step explanation:

p(x) = -x³ - 2x² + 7

p(3) = -3³ - 2(3)² + 7

p(3) = -27 - 2(9) + 7

p(3) = - 27 - 18 + 7

p(3) = -38

Answer:

Step-by-step explanation:

Hello,

14 = 7 * 2 * 1

42 = 7 * 3 * 2 * 1

It can be 14, 7, 2 or 1

So there are 4 different positive numbers which meet the criteria

Hope this helps

Answer

14 = 7 * 2 * 1

42 = 7 * 3 * 2 * 1

It can be 14, 7, 2 or 1

Step-by-step explanation:

Answer:

15.81

Step-by-step explanation:

Sorry for the delay

Answer:

He rode farther on Sunday

135/7 - 139/8 = 107/56 or 1 51/56 miles farther

Answer:D

Step-by-step explanation: I got a hundred on my test.

Answer:

The answer is:

A. It is in the quadrants I and III.

Step-by-step explanation:

I am not sure if this is correct, but I tried my best :)

I hope this helped~

Answer:

solution,

[tex] {(u}^{4} \: )^{ - 7} \\ = {(u)}^{4 \times ( - 7)} \\ = {(u)}^{ - 28} \\ = \frac{1}{ {u}^{28} } [/tex]

Hope this helps...

Good luck on your assignment..

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment...

Answer:

The answer should be B.

The lower quartile is the one that is  45, the upper quartile is the one on 50, and the interquartile range is the difference between upper and lower quartile, which is 5.

Hope this helps!

Answer:

Perimeter is when you add up all of the sides, and the area is when you multiply length times width.

Answer:

SOLUTION SET={x<-3/2   or   x≥48/5} option A

Step-by-step explanation:

12x+7<-11                           and            5x-8≥40

solving the both inequalities

12x+7-7<-11-7                     and             5x-8+8≥40+8

12x<-18                              and              5x≥48

12x/12<-18/12                     and               5x/5≥48/5

x<-3/2                                and               x≥48/5

SOLUTION SET={x<-3/2   or   x≥48/5}

i hope this will help you :)

Answer:

  (3.6, 0), (0, -2)

Step-by-step explanation:

To find the y-intercept, set x=0:

  -5·0 +9y = -18

  y = -18/9 = -2

To find the x-intercept, set y=0:

  -5x +9·0 = -18

  x = -18/-5 = 3.6

The intercepts are ...

  x-intercept: 3.6

  y-intercept: -2

Answer:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

Step-by-step explanation:

To determine the three pieces of information that contribute the most to your credit score, we have to find the factors that affect credit score calculation.

The major factors that affect a person's credit score calculation include : Payment history:

This is the most important factor that affect your credit score. Lenders want to be sure that you have a reputation back your debt and on time when you apply for new credit.

Amount of Debt :

This is the amount of overall debt you carry. It is the ratio of your credit card balances to your credit limit. Too much debt can hurt your credit score

Credit History:

This is a borrower's track record for repaying debts and how old it is. Opening new accounts within a short time will affect your credit score.

Account Mix: having a diverse portfolio of credit accounts could tell how well you manage different credits.

Credit Inquiries:

Several applications involving inquiries into your credit check within a short duration can affect your credit score.

Therefore the three pieces of information that would contribute the most to your credit score:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

Answer: c = 10

Step-by-step explanation:

Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b  are the legs of the triangle and c is the hypotenuse.  Thus, because a=6 and b=8, 36+64=c².  Thus 100=c².  Thus 10=c

Answer:

The value of digit 5 is thousand

Step-by-step explanation:

Digit 5 has thousand value in 75 389

Answer:

(a) p

(b) the probability does not change at all

Step-by-step explanation:

(a) Let A and B be the jurors with probability 'p' of making the correct decision, and C be the juror that doesn't care. The case will be correctly decided if any of the following combinations of jurors decide the case correctly:

AB, AC, BC, ABC.

The probability of one of those outcomes occurring is:

[tex]P=(p*p*0.5)+(p*(1-p)*0.5)+(p*(1-p)*0.5)+(p*p*0.5)\\P=p^2+p-p^2\\P=p[/tex]

The probability is p.

(b) If two of the juros quit, the probability of correctly deciding the case lies on just one juror that correctly decides with probability 'p'. Therefore, the probability of deciding the case does not change at all

Answer:

x^2   +y^2 = 16    

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0) ^2 + (y-0)^2 = 4^2

x^2   +y^2 = 16        

Answer:

Length of the sides of the base (x) = 7.606 ft

Height (h) = 3.802 ft

The minimum surface area is 173.55 ft²

Step-by-step explanation:

Surface area is given by:

[tex]S(x) = x^2+\frac{880}{x}[/tex]

The value of x for which the derivate of the surface area function is zero, is the length of the sides of the base that minimizes surface area:

[tex]S(x) = x^2+\frac{880}{x} \\\frac{dS(x)}{dx}=0=2x-\frac{880}{x^2}\\x^3=440\\x=7.606\ ft[/tex]

The height of the box is given by:

[tex]V=hx^2\\220 =h*7.606^2\\h=3.802\ ft[/tex]

The dimensions of the box with minimum surface area are:

Length of the sides of the base (x) = 7.606 ft

Height (h) = 3.802 ft

The absolute minimum is:

[tex]S(x) = 7.606^2+\frac{880}{7.606}\\S_{min}=173.55\ ft^2[/tex]

The minimum surface area is 173.55 ft²

Answer:

The absolute minimum of the surface area[tex]=173.55$ ft^2[/tex]

At the minimum surface​ area,

Step-by-step explanation:

Volume of the box =220 cubic feet.

[tex]\text{Surface Area, } S(x)=x^2+\dfrac{880}{x}[/tex]

To find the absolute minimum of the surface area function on the interval ​[tex](0,\infty)[/tex], we take the derivative of S(x) and solve for its critical points.

[tex]S(x)=\dfrac{x^3+880}{x}\\S'(x)=\dfrac{2x^3-880}{x^2}\\$Setting the derivative equal to 0\\S'(x)=\dfrac{2x^3-880}{x^2}=0\\2x^3-880=0\\2x^3=880\\$Divide both sides by 2\\x^3=440[/tex]

Take the cube root of both sides

[tex]x=\sqrt[3]{440}\\ x=7.61$ ft[/tex]

Therefore, the absolute minimum of the surface area function on the interval [tex](0,\infty)[/tex], is:

[tex]S(x)=\dfrac{7.61^3+880}{7.61}\\\\=173.55$ ft^2[/tex]

Since the volume of the box =220 cubic feet

[tex]V=x^2h\\220=7.61^2 \times h\\h=220 \div 7.61^2\\h=3.80 ft[/tex]

The dimensions of the box with the minimum surface​ area are base length of 7.61 feet and height of 3.8 feet.