A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
• Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10,...
The calculations for this example are
5+ 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7,1 + 2 + 7 = 10.
a) List the first 26 terms of the Diginacci sequence above.
b) Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.
C) Find, with explanation, a Diginacci sequence that has no term equal
to 11
d) Find, with explanation, a sequence with two different starting terms
which contains five consecutive terms that are even and not all identical

Answer:

68 %

Step-by-step explanation:

Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.

Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270

The values are one standard deviation away.

So, the values between 230 and 270 lie in the range x - σ to x + σ.

Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.

So, 68 % of Braves players fall between 230 and 270.

Answer:

[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

Learn more about algebraic Expression here:

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Answer:

[tex]A=256\ units^2[/tex]

Step-by-step explanation:

The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.

The area of a triangular pyramid is given by :

[tex]A=\dfrac{1}{3}bH[/tex]

Where

b is the area of base

[tex]A=\dfrac{1}{3}\times \dfrac{1}{2}\times B\times h\times H\\\\=\dfrac{1}{6}\times 12\times 8\times 16\\\\=256\ units^2[/tex]

So, the required area is equal to [tex]256\ units^2[/tex].

Answer:

I'm pretty sure it's 2.2

Answer:

4. B

(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)

Step-by-step explanation:

I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x

This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).

This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )

HOWEVER, when we do a statement that does not correspond to the table

it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.

Answer:

Maybe the same as the angle of F (46)

Step-by-step explanation:

If you see the two shapes are the same. but different size. so therfore the angles are same.  

Answer:

answer: 280

Hope that helps!

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48(2/15) miles = 96/15 miles = 6.4 miles.

Step-by-step explanation:

hope it hlp

Step-by-step explanation:

The function should look like this:

g(x) = 10^(x - 1) + 2

Step-by-step explanation:

n=2

1. 16=8×n

16/8=n

2=n

4. n×4=8

n=8/4

n= 2

n=8

2. 16=n×2

16/2=n

8=n

3. 4×n= 32

n=32/4

n= 8

hope it helps

Answer:

75 ballons in 3 hours

Step-by-step explanation:

We know the ratio min to balloon, 12:5.

A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]

So, 75 balloons is how many she can blow up in 3 hours.

Answer: 8x−20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]

Step-by-step explanation:

brainiest please

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

Answer:

Workup in photo below.

Step-by-step explanation:

Good luck.

Answer:

accounting=30, economics=15, only one=35

Step-by-step explanation:

a=2e

5 both

10 neither

40=a+e-5

45=a+e

45=2e+e

e=15

a=2e

a=30

f

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

Answer:

c=pi*D

d=7

pi times 7= 21.98 is the circumference

c=pi*D

d=8

pi times 8=25.12 is the circumference

Step-by-step explanation:

Answer:

x ≥ 1

Step-by-step explanation:

-30 + 8x ≥ -22

Add 30 to both sides.

8x ≥ 8

Divide both sides by 8.

x ≥ 1.

On the number line, click and hold in the middle of 0 and 2 (1) and drag all the way to the right to 12.

Answer:

it's neptune hun

Step-by-step explanation:

Answer:

Neptune

Step-by-step explanation:

Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.

Answer:

A

Step-by-step explanation:

Answer: A 4\5

Step-by-step explanation:

Match the shape with the correct formula for finding the volume :-

SHAPES :-

FORMULAE :-

Match the shape with the correct formula for finding the volume.

9514 1404 393

Answer:

  E.  25/4

Step-by-step explanation:

The right triangles are similar so the sides are proportional.

  short side/hypotenuse = x/10 = 10/16

  x = 100/16 = 25/4 . . . . . . multiply by 10

Answer:

2.3

Step-by-step explanation:

We are to determine the opposite length given an angle of 30 degrees and an adjacent side of 4

we would make use of tan 30

tan 30 = opposite / adjacent

0.5774 = opposite / 4

opposite = 0.5774 x 4 = 2.3

Answer:

33 metros

Step-by-step explanation:

Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.

En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:

tgθ = cat op / cat ady   (1)

De ahí despejamos el cat ady:

cat ady = cat op / tgθ

Reemplazando tenemos:

cat ady = 7 / tg12

cat ady = 32.93 m o solo 33 m.

Espero te sirva

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.

Ahora, la función tangente de la trigonometría se puede escribir como,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]

Por tanto, la distancia entre el barco y el faro es de 32.93 metros.

In English,

The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.

As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.

Now, the tangent function of the Trigonometry can be written as,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]

Hence, the distance between the boat and the lighthouse is 32.93 meters.

Learn more about Tangent (Tanθ):

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Answer:

25

Step-by-step explanation:

To answer this question we must simply divide the number of students by the number of buses

Use the algorithm method.

2 5

5 | 1 2 5

1 0  

2 5

2 5

Therefore, 125 divided by 5=25

So there are 25 students on 1 bus

Answer:

-3

Step-by-step explanation:

The y intercept is the constant(b) next to mx in y intercept form.