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3 years ago

How do I solve this please?

Mathematics

1 answer:

djyliett [7]3 years ago

7 0

Answer:

given us,

n=4

here

3^-n+1-3^-n+2

3^-4+1-3^-4+2

-4+1-4+2

-5

Step-by-step explanation:

we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract

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A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one

ioda

Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0

3 years ago

Find the total area for the regular pyramid.

hram777 [196]

Answer:

Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

A = 3√3/2a²
A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

$\sqrt{8^2+6^2} =\sqrt{100} =10$

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

s = P/2 = (10*2 + 6)/2 = 13
s - a = s - b = 13 - 10 = 3
s - c = 13 - 6 = 7
$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}$

<u>Total surface area:</u>

$S = 6*3\sqrt{91}+54\sqrt{3} =18\sqrt{91}+54\sqrt{3}$

Correct choice is B

3 0

2 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros.

densk [106]

The zeroes are
0, -5, 3 + i (and its conjugate)

The factors are
x (x + 5) (x - (3 + i)) (x - (3 - i))
Expanding...
(x² + 5x)((x - 3) - i) ((x - 3) + i)
(x² + 5x)((x - 3)² - i²)
(x² + 5x)(x² - 6x + 9 - (-1))
(x² + 5x)(x² - 6x + 10)
x⁴ - 6x³ + 10x² + 5x³ - 30x² + 50x
x⁴ - x³ - 20x² + 50x

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3 years ago

Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

padilas [110]

The expressions that could represent how much Leila pays in total for the model

\dfrac{107}{100}x

100 107 Option A is correct.

This is further explained below.

<h3>Which of the following expressions could represent how much Leila pays in total for the model?</h3>

The price of the model is x

Now we are given that she also has to pay a 7 tax.

Amount of tax =7 % x