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2 years ago

Z

Mathematics

1 answer:

timofeeve [1]2 years ago

8 0

Answer:

ㄲ

Respuesta: se necesitan 15 casos para las 4 lámincis.

El primer 3 indica los 3 clavos para el lado izquierdo de la primera lámina. los números del L...4

indican el número de laminas, y el segundo 3 indica el número de claves para el lado derecho de

cada lamina.

lámina y se calcula

A mumero de casos se obtiene relacionando el número de liminas con la cantidad de clavos per

3 + nuncro deliminas) X 3

Cuilice si patria numérico anterior para encontrar la cantidad de clavos necesarios según el número

b. 6 laminas

10 Sáminas

-se de forma física bien identificados.

5: Leer el contenido de la presente guía, realizar las

FECHA: 06 al 17 septiembre 2021

Tercel CUMP

E de liminas

Liminas

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How many tens are in 538

kolezko [41]

Answer:

Step-by-step explanation:

Hundreds Tens Ones

5 3. 8

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2 years ago

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Which of the following geometric series converges?

Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is

$S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}$

Multiply both sides by r :

$rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n$

Subtract the latter sum from the first, which eliminates all but the first and last terms:

$S_n-rS_n=a-ar^n$

Solve for $S_n$ :

$(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}$

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So the given series converge to

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(II) -1.1/(1 + 1/10) = -1

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2 years ago

at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same

iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

d = 1720
x = plane's speed
y = wind speed
t1 = 5 hours
t2 = 4 hours.

Substitution

d = (x + y) * t
1720 = (x + y) * 4
1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

(x + y) * 4 = (x - y)*5 Remove the brackets.
4x + 4y = 5x - 5y Add 5y to both sides
4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
4x + 9y = 5x Subtract 4x from both sides
9y + 4x - 4x = 5x - 4x Combine
9y = x

Now use one of the given equations with the distance

1720 = (x + y)*4 Substitute 9y for x
1720 = (9y + y) * 4 Combine
1720 = 10y * 4 Multiply the right
1720 = 40y Divide by 40
1720/40 = 40y/40 Do the division
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3 years ago

What is the solution to

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Answer:

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Step-by-step explanation:

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2 years ago

If a varies directly as b, and a = 28 when b = 7, find b when a = 5.

Jlenok [28]

Answer:

Value of b = $\frac{5}{4}$ =1.25.

Step-by-step explanation:

Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,

$a \propto b$ then it is of the form

a = kb ;where k is constant variation.

Given: a varies directly as b;

then, by definition of direct variation;

we have;

$a = kb$ .....[1]

Substitute the value of a =28 and b =7 to solve for k;

$28 = k(7)$

Divide both sides by 7 we have;

$\frac{28}{7}=\frac{7k}{7}$

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

$5=(4)b$

Divide by 4 to both sides we get;

$b =\frac{5}{4}$

Therefore, the value of b = $\frac{5}{4}$ =1.25

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