Let f(x) = - 4x+2 and g(x) = x2 + 2.<br> Find (f+g)(x).

I need a little bit of halp plzzzz!!! a bag of pennies weighs 5.1 kilograms. Each penny weighs 2.5 grams. About how many pennies

Harrizon [31]

Hello!

so we have a total weight of 5.1kg and we are told that each penny weighs 2.5g.

so we need to convert either one to the same units first. we know there are 1000g in 1kg so 2.5g=0.0025kg now we have both in the units of kg, so we can just take 5.1kg/0.0025kg=2040 pennies in the bag.

we can check ourselves here by taking 2040 * 2.5g and we get 5100grams which equals 5.1kg

hope this helps. any questions please just ask. thank you kindly

3 0

3 years ago

Help me please!!!

34kurt

Step-by-step explanation:

sin(2x) + cos(3x)

Use double angle formula sin(2x) = 2 sin x cos x.

Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.

Substitute:

2 sin x cos x + 4 cos³x − 3 cos x

3 0

3 years ago

Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0

3 years ago

You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmat

IgorC [24]

The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2

First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.

Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.

4 0

3 years ago

Solve the equation, round the answers to two decimal places. <br> 4=e^0.08t

umka21 [38]

Rearrange the equation by solving for t:
t=4x10^0.08= 4.81

6 0

3 years ago

Let f(x) = - 4x+2 and g(x) = x2 + 2. Find (f+g)(x).