b(1) = -2
b(n) = b(n-1)-7

Find the 3rd term in the sequence.
​

Answer:

Perimeter=737 feets

Area=13542.6 ft²

Step-by-step explanation:

Well assuming that a,b,c are the three sides of the triangle and h is the height then;

Perimeter=distance around the figure

P=164+221+352= 737 feet

Area of a triangle given three sides is calculated using the formulae;

Area=√s (s-a) (s-b) (s-c) where  s=(a+b+c)/2

Finding s;

s=(164+221+352)/2 =368.5 feet

Finding the area

A= √ 368.5 (368.5-164) (368.5-221) (368.5-352)

A=√368.5 (204.5) (147.5) (16.5)

A= 13542.6 ft²

Answer: 39 degrees

Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.

180-102=78

Since the two angles are the same then we just divide 78 by 2

78/2=39

Answer:

∠E ≈ 37°

Step-by-step explanation:

Using the Sine Rule in ΔEFG, that is

[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )

42 × sinE = 26 × sin102° ( divide both sides by 42 )

sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..

E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°

[tex](\frac{f}{g})(x)=\frac{x^{2} +2x-3}{x^2-9}[/tex]  since x = 4, you plug in 4 into the x's in the equation

[tex](\frac{f}{g} )(4)=\frac{(4)^2+2(4)-3}{(4)^2-9} = \frac{16 + 8 - 3}{16 - 9}[/tex]  Simplify

[tex]\frac{21}{7} =3[/tex]    

so [tex](\frac{f}{g})(4)=3[/tex]

(f + g)(x) = (x² + 2x - 3) + (x² - 9)     Plug in 4 for x

(f + g)(4) = 4² + 2(4) - 3 + (4)² - 9

(f + g)(4) = 16 + 8 - 3 + 16 - 9 = 28

Answer:

B

Step-by-step explanation:

A parabola is symmetric about the vertex point. The x-coordinate of the vertex is 4.6.

So the parabola has 1 intersection point at x = 0 (origin as shown) and the line of symmetry is at x = 4.6. That is, from 0 to 4.6, it is 4.6 units. Hence, the other intersection point at the x-axis should be from 4.6 to 4.6 units to the right.

Hence, 4.6 + 4.6 = 9.2

The x-intercept would be (9.2, 0)

Correct answer is B

Answer:

The answer is D

Step-by-step explanation:

(12 + 6) x (11 - 7) = 72

18 x 4 = 72

72 = 72

The answer is D

Answer:

x=11 and x=18

Step-by-step explanation:

The given quadratic equation is;

[tex](x-8)^2-13(x-8)+30=0[/tex]

Let u=(x-8)

[tex]u^2-13u+30=0[/tex]

Split the middle term;

[tex]u^2-10u-3u+30=0[/tex]

Factor by grouping

[tex]u(u-10)-3(u-10)=0[/tex]

[tex](u-10)(u-3)=0[/tex]

We have either u=10 or u=3

This implies that;

x-8=10 or x-8=3

x=10+8 or x=3+8

x=18 or x=11

Answer:

The answer is D on EDGE 2020

Step-by-step explanation:

Answer:= 1.599 × 107

Step-by-step explanation:

here you go

Answer:

Exponent of 5

Step-by-step explanation:

Because there are 5 6s it would be 6 to the exponent of 5.

Given, 6×6×6×6×6

Have to write in Exponent form

So....Its given that there are 5 six so..we can write is as

[tex] = {6}^{5} [/tex]

Answer: 5

Step-by-step explanation: If Mike Only has $100 To Spend On Games, He Can Buy 5 Games Because We Multiply 20 By 5 To Get A Product Of 100.

Therefore, Mike Can Afford 5 Games With No Money Left.

Have A Fantastic Day!

Be Safe,

Eric

Mike can afford to buy 5 $20 games.

To determine how many $20 games Mike can afford to buy with $100, we divide the total amount of money he has by the cost of one game.

Total money Mike has = $100

Cost of one game = $20

Number of games Mike can afford = Total money / Cost of one game

Number of games Mike can afford = $100 / $20

Number of games Mike can afford = 5

Therefore, Mike can buy 5 games with $100.

Answer:

4153

Step-by-step explanation:

(x-3)/10 + 3000 = x-73

(x-3)/10 = x - 3738

x-3 = 10x - 37380

 x = 10x - 37377

-9x = -37377

 x = 4153

: P

Answer:

4153

Step-by-step explanation:

Let the original number be x

First, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there.

Now to remove the zero, you divide by 10.

Finally, to put the 3 at the first position, you add 3000.

Now Moving the last digit, 3, to the first position the number becomes :[tex]\frac{x-3}{10}+3000[/tex]

We are given that the number will decrease by 738.

A.T.Q

[tex]\frac{x-3}{10} + 3000 = x-738[/tex]

[tex]\frac{x-3}{10}= x - 3738[/tex]

[tex]x-3 = 10x - 37380[/tex]

[tex]x = 10x - 37377[/tex]

[tex]-9x = -37377[/tex]

[tex]x = 4153[/tex]

Hence the original 4-digit number is 4153.

Answer:

16

Step-by-step explanation:

So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.

So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.

So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.

Sorry I am bad at explaining things, but I hope this helps anyway!

Answer:

Option B is the correct answer.

Step-by-step explanation:

She used x tulips and some daffodils in the bouquet.

The number of daffodils is equal to the square root of the number of tulips.

[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]

The total number of flowers in the bouquet is 20

That is

             [tex]x+\sqrt{x}=20[/tex]

Solving

         [tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]

Total number is less than 20 so 25 is not possible

Number of tulips used = 16

Option B is the correct answer.

Answer:

$0.2456 / card in ink for printer B

Step-by-step explanation:

The formatting of the data tables isn't great in your question and it's hard to be sure of which numbers go where.

Since the question is about printer B, we'll assume the number of hours for printer B is 50 for week1, 50 for week2 and 3 for week3.

The numbers don't make much sense overall, but let's work with them.

We'll first calculate the ratio of hours worked by printer B with the overall hours all the printers worked, over the 3 weeks:

Printer A : 140 hours

Printer B : 130 hours

Printer C: 145 hours

Total 415 hours total, for the 3 printers.

Ratio of Printer B: 130 / 415 = 31.325%

Total of cards produced:

7,950 + 7,800 + 9,600 = 25,350 cards over 3 weeks.

We'll assume the productivity per hour is the same for all printers, since no indication otherwise.  So, the portion of those 25K cards of printer B should be the same as the ratio of the hours worked:

25,340 * 31.325% = 7941 cards (rounded to the nearest unit)

Since we know printer B ran for 130 hours, and it costs $15/hour in ink, we have:

130 hours * 15$/hour = $1,950 in ink.

Now, we divide by the number of cards:

$1,950 / 7941 cards = $0.2456 / card in ink for printer B

Answer:

b

Step-by-step explanation:

took test

Answer:18446744073709600000

Step-by-step explanation:

2^-8*2=2^64=

For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2 (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {7}, 2 \sqrt {5})\\(x_ {2}, y_ {2}) :( 5 \sqrt {7}, 5 \sqrt {5})[/tex]

Substituting:

[tex]d = \sqrt {(5 \sqrt {7} -3 \sqrt {7}) ^ 2+ (5 \sqrt {5} -2 \sqrt {5}) ^ 2}\\d = \sqrt {(2 \sqrt {7}) ^ 2+ (3 \sqrt {5}) ^ 2}\\d = \sqrt {4 (7) + 9 * (5)}\\d = \sqrt {28 + 45}\\d = \sqrt {73}\\d = 8.5440[/tex]

Answer:

[tex]d = 8.54[/tex]

Answer:

25 1/2 × 5 - 3 = 5x

51/2 × 5 - 3    = 5x

255/2 - 3       = 5x

255/2 - 6/2   = 10x/2

255 - 6          = 10x

249               = 10x

x                    = 249/10 = 24.9

The value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]  is x=24.9

Given:

Find:

Solution:

The given equation is [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

Now, solving the equation, we get;

[tex]25\frac{1}{2} * 5 -3 = 5x[/tex]

[tex]\frac{51}{2} *5 - 3 =5x[/tex]

Now, multiplying the 51/2 with 5, we get;

[tex]\frac{255}{2} - 3 = 5x[/tex]

Now, we will take lcm and we get;

[tex]\frac{255-6}{2} = 5x[/tex]

[tex]\frac{249}{2} = 5x[/tex]

Now, multiplying with 2 on both sides of the equation, we get;

249 = 10x

Now, dividing by 10 into both sides of the equation, we get;

x = 24.9

Hence, the value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex] is x=24.9

To learn more about equation solving, refer to:

https://brainly.com/question/8806877

#SPJ2

Answer:

x = 35 degrees.

Step-by-step explanation:

cos x = sin(20 + x)

Using the identity cos x = sin(90 - x):

20 + x = 90 - x

2x = 70

x = 35 degrees (answer).

Answer:

Value of x is 35°.

Step-by-step explanation:

Given:

cos x = sin ( 20 + x )

To find: Value of the x.

We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]

Consider,

cos x = sin ( 20 + x )

sin ( 90 - x ) = sin ( 20 + x )

Comparing both sides,

90 - x = 20 + x

-x - x = 20 - 90

-2x = -70

x = 35°

Therefore, Value of x is 35°.

to figure out the percentage, you’ll have to do 78 divided by 120 (because it’s 78/120) which is 0.65. now, you’ll have to multiply by 100, so her percentage is 65%.

The function can be written as g(x)=(x+15/2)^2 +(-9/4)

Some quadratic equations are difficult to factor and are not presented in a way that enables us to apply the square root property right away. However, by "completing the square," we may transform the quadratic formula into a perfect square trinomial. The square root property is then used to factor the trinomial and answer the equation.

How to Complete the Square in Equations to Solve the Problem

1. Transform the original equation into x2 + bx = c.

2. Add the term required to complete the square to both sides.

3. Factor the trinomial with a perfect square.

4. Apply the square root property to the resulting equation

If x2 + bx is a binomial, then adding  will result in a perfect square trinomial.   is the square of half the coefficient of the linear x.  

A perfect square trinomial can be factored, so the equation can then be solved by taking the square root of both sides.

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ2

Answer:

g(x)=(x+15/2)^2 +(-9/4)

Step-by-step explanation:

the hypotenuse is always the line directly in front of the right angle.

so the answer is 2) mn

Answer:

[tex]E = 3.46\ movies[/tex]

Step-by-step explanation:

The formula to find the error is:

[tex]E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}[/tex]

Where:

[tex]\sigma[/tex] is the standard deviation

n is the sample size

So

n = 80 people

[tex]\sigma[/tex] = 12 movies

Then

[tex]1- \alpha[/tex] = confidence level = 0.99

[tex]\alpha= 1-0.99[/tex]

[tex]\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005[/tex]

We look for the Z value: [tex]Z_{0.005}[/tex]

[tex]Z_{0.005}=2.58[/tex]  Looking in the normal standard tables

Therefore:

[tex]E =2.58*\frac{12}{\sqrt{80}}\\\\E = 3.46\ movies[/tex]

Check the picture below.

so if we just find its vertex, we know how many feet it went up by its y-coordinate.

[tex]\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-32}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{64}{2(-32)}~~,~~0-\cfrac{64^2}{4(-32)} \right)\implies \left( \stackrel{\stackrel{\textit{how many}}{\textit{seconds}}}{1}~~,~~\stackrel{\stackrel{\textit{how many feet}}{\textit{it went up}}}{32} \right)[/tex]

100, 104, 114, 116, 117, 118, 122, 126, 151

That was the correct answer for the test I took

Answer:

The commission is $180

Step-by-step explanation:

To find the commission take the total (750) and multiply it by the percentage of commission (.24).

When you do this, you will get $180.

Hope this helps! :)

Answer:

its 180

Step-by-step explanation:

Answer:

value of t is greater than equal to -9 / 28.

Step-by-step explanation:

Given Quadratic Polynomial :  tx² + 3x - 7 = 0

Also, It has real solutions.

Standard Quadratic equation, is ax² + bx + c = 0

here, Determinant, D = b² - 4ac

decides nature of the roots.

if D < 0 , roots / solutions are complex

if D = 0 , roots are real and equal.

if D > 0 , roots are real and different.

As given roots are real solutions.

Means Dis either equal to 0 or greater than 0

when D = 0

we have, 3² - 4 × t × (-7) = 0

               9 + 28t = 0

               t = -9 / 28

when D > 0

we have, 3² - 4 × t × (-7) > 0

               9 + 28t > 0

               t > -9 / 28

Therefore, value of t is greater than equal to -9 / 28.

Answer:

C = [tex]200\pi[/tex]

Step-by-step explanation:

C = [tex]2 \pi r[/tex], where r - radius

Since the equation of the circle is:

[tex]x^2 + y^2 = 100[/tex]

The radius is 100.

C = [tex]200\pi[/tex]

Answer:

b I am sure because to x the number to the the probability and we don't know which ]h one so there is a 50% 50% chance for both.

Step-by-step explanation:

Answer:

Option B - [tex]P(A)\cdot P(B)[/tex]                          

Step-by-step explanation:

Given : The probability for success of an event is P(A), and the probability of success of a second event is P(B).

To find : What is the  probability of both events occurring, in that order?        

Solution :

The probability for success of an event is P(A).

The probability of success of a second event is P(B).    

As the events are independent so the probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]

Therefore, Option C is correct.

The probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]                          

Answer:

2,550

Step-by-step explanation:

3,000 divided by 20 equals 150.

17 multiplied by 150 equals 2,550.

the answer is 2,550 I agree

Answer:

Required additive inverse is [tex]-7-5i[/tex].

Step-by-step explanation:

Given number is [tex]-7+5i[/tex].

Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].

We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].

Basically we need to change the sign of imaginary term.

imaginary term in given number [tex]-7+5i[/tex] is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is [tex]-7-5i[/tex].

Answer:

You are correct!

:D

Answer:

25 in.

Step-by-step explanation:

Since we know geckos are 2/5 of an Iguana's length, we need to find the length of 1/5.

So if 10 in. is 2/5, 5 in, is 1/5.

Now, since the denominator is 5, we multiply 5 in. by 5.

5x5=25 in.

25 in. is the length of an average Iguana.