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3 years ago

4,8,16,24 - what are the next two terms in this pattern?

Mathematics

2 answers:

Vinvika [58]3 years ago

5 0

Answer:

Step-by-step explanation:

The pattern is multiplying by 2

Tresset [83]3 years ago

4 0

Answer:

48,96

Step-by-step explanation:

As we saw it the numbers kept increasing by x2 (or times 2) so the next had to be the same.

peace

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Donna sent her grandson a birthday present. The box weighed 0.875 kilograms and the present itself weighed 6,800 grams. a. What

Nana76 [90]

A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

$\frac{6,800}{1000} =6.8 kg$

Now that we have converted to grams, let's add the weight to get the total gross weight:

$0.875+6.8=7.675 kg$

So the gross weight of the package is 7.675 kg.

b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

$\frac{7.675kg}{1}* \frac{74 cents}{kg}=567.95 cents$

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

$\frac{567.95cents}{100} =5.68dollars$

Now we know that the total cost of shipping, in dollars, is equal to $5.68.

7 0

3 years ago

Two numbers multiply to be -7 and add to be -6. What are the numbers? Example; 2,3

rewona [7]

Given:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

$xy=-7$ and

$x+y=-6$

Value of the two numbers:

Let us determine the value of the two numbers using substitution method.

Substituting $y=-6-x$ in the equation $xy=-7$ , we get;

$x(-6-x)=-7$

Simplifying, we get;

$-6x-x^2=-7$

$x^2+6x-7=0$

$(x+7)(x-1)=0$

$x=-7, 1$

Thus, the values of x are x = 1,-7

When x = 1 , the equation $x+y=-6$ becomes $y=-7$

When x = -7, the equation $x+y=-6$ becomes $y=1$

Therefore, the two numbers are 1 and -7

3 0

3 years ago

A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.

NeX [460]

Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4

y=ax^2→y=-(1/4)x^2

7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4

Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m

Please, see the attached file.

Answer: Third option 15.75 m