All categories

2 years ago

There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a

Mathematics

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer:

23,040 cm^3.

Step-by-step explanation:

The case will be 6 * diameter of a can in length,

= 6* 8= 48 cm.

The width will be 4 * 8 = 32 cm.

The height = height of each can

= 15 cm.

So the volume of the case = 15*32*48

= 23,040 cm^3.

You might be interested in

Help pls ill award u the brainliest person!!! plsss help nowwww

Genrish500 [490]

Answer:

Photo 1: (a) C

(b) A

Photo 2: 12.0416cm

Photo 3: 15.5242cm

Step-by-step explanation:

Photo 1: (a) 6×4=24

(b) 6(5)+6=36

Photo 2: Using Pythagoras' Theorem,

Unknown side length= square root symbol [(8×8)+(9×9)]

= 12.0416cm (6sf)

Photo 3: Using Pythagoras' Theorem,

AC= square root symbol (AB^2+BC^2)

=square root symbol [(15×15)+(4×4)]

= 15.5242cm (6sf)

4 0

2 years ago

What is the vertex of the following equation?<br><br> y = (x + 7)2 + 3

Ede4ka [16]

X = -17/2 is the answer if I’m correct

4 0

3 years ago

100 POINTS!!!!

Vladimir [108]

<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>

Answer:

$t= 462.82\ days$

Step-by-step explanation:

<u>Exponential Growth </u>

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

$\displaystyle f(x) = f_o(1 + r)^t$

Where $f_o$ is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

$\displaystyle f(x) = 100(1.01)^t$

We need to know when the number of followers will reach 1,000,000. Setting up the equation

$\displaystyle 100(1.01)^t=1,000,000$

Simplifying by 100

$\displaystyle (1.01)^t=10,000$

Taking logarithms

$\displaystyle t\ log(1.01)=log\ 10,000$

$\displaystyle t\ log(1.01)=4$

Solving for t

$\displaystyle t=\frac{4}{log(1.01)}=925.63$ periods of 12 hrs

$t= 462.82\ days$

7 0

3 years ago

The number of males in the classroom is three more than twice the number of females. Of the total number of students is 57, how

dolphi86 [110]

Answer:

Step-by-step explanation:

Given that the number of males in the classroom is three more than twice the number of females.

the total number of students is 57

Let x be the no of males then no of females = $57-x$

Also we have 3 more than twice no of females as

$2(57-x)+3$

This equals x

$2(57-x)+3=x\\114-2x+3=x\\3x=117\\x=39$

No of males = 39, no of females = 18

6 0

3 years ago

The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(

SVEN [57.7K]

d = 3 , a₁₂ = 40 and S $x_{100}$ = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• a $n$ = a₁ + (n-1)d</h3><h3>• S $_n$ = $\frac{n}{2}$ [2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = $\frac{50}{2}$ [(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>

7 0

2 years ago