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3 years ago

4

Mathematics

2 answers:

Orlov [11]3 years ago

5 0

2 hours. 1/4 is a quarter of a whole seeing as it takes 30 minutes to memorize 1/4 if you multiply 30 by 4 you will have your answer

natima [27]3 years ago

4 0

Answer: The answer is 2 hours

Step-by-step explanation:

They are 4 parts and for one part she takes 30 minutes for 2 parts it would be a hour for 3 parts a 1 hour a half and 4 parts 2 hours.

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Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Dafna11 [192]

Answer:

$a_{n}$ = - 2 $a_{n-1}$

Step-by-step explanation:

A geometric recursive formula has the form

$a_{n}$ = r $a_{n-1}$

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

$a_{n}$ = - 2 $a_{n-1}$ with a₁ = 7

4 0

3 years ago

the area of a rectangle is x-16/x. If the width of a rectangle is x/4+1, find an expression to represent the length.

lakkis [162]

Answer:

The expression to represent the length

$length=\frac{4\left(x-4\right)}{x}$

Step-by-step explanation:

Given

Area = x-16/x

Width = x/4+1

Length =?

We know that The formula for the area of the rectangle is:

Area = Length x Width

Thus, the length of a rectangle

Length = Area ÷ Width

$=\frac{x-\frac{16}{x}}{\frac{x}{4}+1}$

$=\frac{x-\frac{16}{x}}{\frac{x+4}{4}}$

$=\frac{\frac{x^2-16}{x}}{\frac{x+4}{4}}$

$\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$

$=\frac{\left(x^2-16\right)\cdot \:4}{x\left(x+4\right)}$

$=\frac{\left(x+4\right)\left(x-4\right)\cdot \:4}{x\left(x+4\right)}$

Cancel the common factor: (x+4)

$=\frac{4\left(x-4\right)}{x}$

Thus, the expression to represent the length

$length=\frac{4\left(x-4\right)}{x}$

7 0

3 years ago

What is the equation of the line that passes through (1, 2/3) and (-1,-1)?

artcher [175]

(1,2/3)(-1,-1)
slope = (-1 - 2/3) / (-1-1) = (-3/3 - 2/3) / -2 = (-5/3)/-2 = -5/3 * -1/2 = 5/6

y = mx + b
slope(m) = 5/6
(-1,-1)...x = -1 and y = -1
now we sub
-1 = 5/6(-1) + b
-1 = -5/6 + b
-1 + 5/6 = b
-6/6 + 5/6 = b
-1/6 = b

y = 5/6x - 1/6 <=== ur equation

3 0

3 years ago

Find the arc length of ADC. Round to the nearest hundredth.<br> BA = 6.5 cm

MakcuM [25]

2190.5 cm.

360 degrees - 23 degrees = 337 degrees

337 degrees x 6.5 cm = 2190.5 cm

7 0

3 years ago

Name the property the equation illustrates.

maria [59]

Answer: Choice C) Commutative Property of Multiplication

The commutative property of multiplication is the idea that you can multiply two numbers in any order to get the same result. So that's why order doesn't matter. The general format is x*y = y*x

For example, 2*3 = 6 and 3*2 = 6 so 2*3 = 3*2

One or both of the numbers can be a fraction.

7 0

3 years ago