In a choose. Cross of choose. Pea plants with round (r) yellow (y) seeds, there will be a choose. Ratio of 9 choose. , 3 choose. , 3 choose. , and 1 choose. .

Answer:

Square 15: 16,384

Sum of all grains up to and including square 15: 32,767

Total weight up to and including square 15: 4.681 lb

Step-by-step explanation:

Square 1: 1 = 2^0

Square 2: 2 = 2^1

Square 3: 4 = 2^2

Square 4: 8 = 2^3

Notice that the exponent of the 2 is 1 less than the number of the square, so for square n, the number of grains is 2^(n - 1)

Square n: 2^(n - 1)

Square 15: 2^(15 - 1) = 2^14 = 16,384

Now let's look at the sums.

Square 1 sum: 1

Square 2 sum: 1 + 2 = 3

Square 3 sum: 3 + 4 = 7

Square 4 sum: 7 + 8 = 15

Notice that each sum is one grain less than 2 raised to the number of the square.

Square 1 sum: 1 = 2^1 - 1

Square 2 sum: 1 + 2 = 3 = 2^2 - 1

Square 3 sum: 3 + 4 = 7 = 2^3 - 1

Square 4 sum: 7 + 8 = 15 = 2^4 - 1

Square n sum: 2^n - 1

Square 15 sum: 2^15 - 1 = 32,767

Weight:

32,767 × 1/7000 lb = 4.681 lb

Answer:

The slope is 2.

Step-by-step explanation:

Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.

Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

Answer:

1.) A

sorry I’m not smart so that’s the only one I know

Step-by-step explanation:

Answer:

Step-by-step explanation:

F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)

Answer:

81.60 is your selling price

Step-by-step explanation:

60% = 0.60

0.60 x 51 = 30.60

51 + 30.60 = 81.60

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

Work Shown:

2% = 2/100 = 0.02

2% of $19,866 = 0.02*19866 = 397.32

Dora earned $397.32 in commission on top of the base monthly salary of $2,212

Her total monthly pay is 2212+397.32 = 2,609.32 dollars

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

Optional section:

If you wanted to use a bit of algebra here, then the equation is

y = 0.02x+2212

Plug in x = 19866 and you should get y = 2609.32

Commission:-

[tex]\\ \rm\Rrightarrow 0.02(19866)[/tex]

[tex]\\ \rm\Rrightarrow 397.3[/tex]

Gross pay:-

Answer:

25978

Step-by-step explanation:

There are 26 letters in the alphabet and 999 numbers with 3 digits so I multiplied and got the answer

Please mark Brainlest if I helped

Answer:

Yes

Step-by-step explanation:

9/21 SIMPLIFIED= 3/7

6/14 SIMPLIFIED= 3/7

Answer:

-8d+13

Step-by-step explanation:

Add and Multiply all of the numbers without variables:

3x4+1

Use PEMDAS to solve (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):

3x4=12

12+1=13

Now you have your answer:

-8d+13

Answer:

-8d+13

Step-by-step explanation:

Multiply first:

3x4=12

Add:

12+1=13

Add equations:

-8d+13

The correct answer is -8d+13

Answer:

C

Step-by-step explanation:

The sides are different lengths when you look at them and then the 90° angle is already given

Answer:

The triangle is classified as a "right angle" because the little box at the bottom left mean it's exactly 90 degrees.

Step-by-step explanation:

Answer:

8*(4^n)

where n is the nth number

equation ar^n

where a is first term

r common ratio.

51.25 per month which is $615 per year

They save 5 per month if they pay full year

(51.25-5)= 46.25 per month is $555

so it costs $555 if they pay all at once.

Answer:

mine is the same answer $555

The length of the diagonal of the rectangular prism is 14.7 feet to the nearest tenth.

In a three-dimensional space prism is a polyhedron where two ends are similar.

Given:

The dimensions of the right rectangular prism:

Length l = 10cm

Width w = 4cm

Height h = 10cm

The length of the diagonal of the rectangular prism,

= √(l² + w² + h)

= √{(10)² + (4)² + (10)²}

= 14.69

= 14.7 feet.

Therefore, the length of the diagonal is  14.7 feet.

To learn more about the prism;

https://brainly.com/question/12649592

#SPJ1

Answer:

He would have 48

Step-by-step explanation:

1 set: 8

2 sets: 16

3 sets: 24

4 sets: 32

5 sets: 40

5 sets: 48

OR

{4(8)} + 2(8)

32 + 2(8)

32 + 16

48

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Answers

48

Steps

4+2=6

8 times 6= 48

The solution of a graph is the point where the lines of the graph meet

The solution of the equations is (3-,3)

To determine the solution, we simply mark the point of intersection of the graphs of functions f(x) and g(x)

From the graph, we have the point of intersection to be

(x,y) = (3-,3)

Hence, the solution of the equations is (3-,3)

Read more about equation solutions at:

https://brainly.com/question/1214333

Answer:

a optionis a correct answer

Answer:

D will be your answer.

Step-by-step explanation:

solve the equations for y by replacing x with the numbers in the chart.

5x+y=14

start by isolating y by subtracting 5X from each side.

y= -5x + 14

y = -5(-1) + 14

y = 5 + 14

y = 19

y= -5x +14

y= -5 (0) +14

y= 14

y = -5x + 14

y = -5 (1) + 14

y = -5 + 14

y= 9

Answer:

3:12 = 1:4

Step-by-step explanation:

3 cups of flour = 4 cups brown sugar

4 x 3 = 12

3:12 = 1:4 (simplest form)

Answer:

45⁰

Step-by-step explanation:

We need to find n first.

we are given that GQH is 90⁰ which means that the sum of GQL and LQK should 90⁰ because these are angles on a straight line which adds up to 180⁰.

so,

(4n-15) + 3n = 90⁰

Take the -15 to the other side after opening the brackets.

4n + 3n = 90⁰ + 15

7n = 105⁰

Divide it by 7 for both sides.

n = 15⁰

Now substitute n=15⁰ in you LQK equation.

4n -15

(4×15) -15

60⁰ - 15

45⁰

D. (2,7)

it lines up with the others to form a rectangle

Answer:

45 years

Step-by-step explanation:

Let the sum be x and CI=2x

We know that

CI=P(1+100R)T

2x=x(1+100R) ^15

(1+100R)^15=2                

Let m be the number of years.

Therefore,

x(1+100R)m=8x

(1+100R)m=23

(1+100R)m=[(1+100R)^15]3          

From eqn(1)

(1+100R)m=(1+100R)45

On comparing both power, we get

m=45 years

Answer:

A

Step-by-step explanation:

aₙ = 5ⁿ/n!

aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.

zero < 1

so the series is convergent.

»f(n) = 2n² + 6

so, g(n) = 2n² + 6

»g(2) = 2(2)² + 6

»g(2) = 2(4) + 6

»g(2) = 8 + 6

»g(2) = 14✅

As

[tex]\\ \rm\Rrightarrow g(n)=f(n)[/tex]

[tex]\\ \rm\Rrightarrow g(2)=f(2)=14[/tex]

Answer:

Multiply 54 by 6

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)

Addition/Subtraction (Whichever comes first)

In this case, we can start by looking inside of the parentheses.

There are two signs; addition and multiplication.

Now we look back to the order of operations (PEMDAS), and see that multiplication comes before addition, therefore you should first multiply 54 by 6.

Answer:

705,000

Step-by-step explanation:

To round to the nearest thousand, you look at the number to the right of 5. If the number is 5 or higher then you round 5 up. But it is 4 so you keep 5 the same. All of the numbers after 5 are now 0. 705,000

Answer:

705000. Hope this helps!!!!!

((60 * c) + 3300 ≤ 24000

60c ≤ 24000 - 3300

60c ≤ 20700

c ≤ 20700  / 60

c ≤ 345

Step-by-step explanation:

60x + 3300 = 24000

60x = 24000 - 3300

60x = 20700

x = 345

Answer:

x = [tex]\frac{3}{2}[/tex]y + 20

[Given]

4x - 6y = 20

[Add 6y to both sides of the equation]

4x = 6y + 20

[Divide both sides of the equation by 4]

x = [tex]\frac{6}{4}[/tex]y + 20

[Simplify [tex]\frac{6}{4}[/tex], both 6 and 4 are divisible by 2]

x = [tex]\frac{3}{2}[/tex]y + 20

Answer:

4m and 6m

Step-by-step explanation:

factors of 24: 2, 3, 4, 6, 8, 12

now just go through each and find one that fits the description

We are given with a complex no. and need to simplify it , so let's start !!!

Let's assume that :

[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}[/tex]

Now , Rationalizing the denominator or in other words multiplying and dividing [tex]{z}[/tex] by the conjugate of the denominator

[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{16+12\iota}{10}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}[/tex]

[tex]{:\implies \quad {\bf \therefore}\quad \underline{\underline{z=\bf \dfrac{8}{5}+\dfrac{6}{5}\iota}}}[/tex]

Hence , Option B) (8/5) + (6/5)i is correct :D

Answer: 8/5+6/4i

Proof of validity is shown below.