Ask question

Ask question

All categories

3 years ago

12

Simplify (3a4-2a2+5a-10)-(2a4+5a-2)

1 answer:

anygoal [31]3 years ago

5 0

I simplified and this is what i got (a^4-2a^2-8 )
<span />

You might be interested in

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elaps

choli [55]

F(x) = 1500(2.15)x thank me later

6 0

3 years ago

Read 2 more answers

Simplify using order of operations.Show all your work. 4^3 + (`10-8) divided by 2

Igoryamba

Answer:

<h2>65</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

------------------------------------------------------------------------

$4^3+(10-8)\div2=64+2\div2=64+1=65$

3 0

3 years ago

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0

2 years ago

Product of 289 and 7

lyudmila [28]

Product means that u have to multiply the values so it will be 289*7 so it will be 2023

4 0

3 years ago

Read 2 more answers

Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximatel

Ludmilka [50]

9514 1404 393

Answer:

$6307.95

Step-by-step explanation:

The compound interest formula can help with that.

A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.

P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95

Momba needs to deposit $6307.95 today to have $8000 in 6 years.

8 0

2 years ago