All categories

3 years ago

I need help with number 3 and 4

Mathematics

2 answers:

AnnZ [28]3 years ago

3 0

Answer:

3) 2^4 = 16

4) 2^3 = 8

2 x 2 x 2 = 8

8 = 8

harina [27]3 years ago

3 0

Answer:

Both r correct

Step-by-step explanation:

3. 2x2x2x2 = 16

4. 4/2x2x2= 8 if u do 2x2x2=8/4=4 you should not get 4 you should get 8

4. 4\

You might be interested in

X + y + w = b

White raven [17]

Answer:

(a) a=6 and b≠ $\frac{11}{4}$

(b)a≠6

Step-by-step explanation:

writing equation in agumented matrix form

$\begin{bmatrix}1 &1 & 0 &1 &b\\ 2 &3 & 1 &5 &6\\ 0& 0 & 1 &1 &4\\ 0& 2 & 2&a &1\end{bmatrix}$

now $R_{2} =R_{2}-2\times R_{1}$

$\begin{bmatrix}1 &1& 0 &1 &b\\ 0 &1& 1 &3 &6-2b\\ 0& 0 & 1 &1 &4\\ 0& 2 & 2&a &1\end{bmatrix}$

now $R_{4} =R_{4}-2\times R_{2}$

$\begin{bmatrix}1 &1& 0 &1 &b\\ 0 &1& 1 &3 &6-2b\\ 0& 0 & 1 &1 &4\\ 0& 0 & 0 &a-6 &4b-11\end{bmatrix}$

a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that a=6 and b≠ $\frac{11}{4}$

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

a≠6

c) consistent w/ infinitely-many sol'ns

rank of augamented matrix = rank of matrix < no. of variable

for that condition

a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.

4 0

4 years ago

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

So, what do we know?

Well we know the following information...

p + a + o = 270

(Phoebe + Andy + Polly = £270)

p = 3a

(Phoebe = 3 times more than Andy)

a = 2o

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")

Andy

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)

Phoebe

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4 0

3 years ago

Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.

ozzi

Answer:

Step-by-step explanation:

Return rate, r = 3% = 0.03

x = initial investment

b = final balance

After 1 year, the balance i

b = initial investment + interest

b = x + r*x = (1 + r)*x

Because r = 0.03,

b = 1.03x (after 1 year)

3 0

3 years ago

What single decimal multiplier would you use to increase by 15% followed by a 17% decrease?

In-s [12.5K]

Answer:

0.9545

Step-by-step explanation:

Let an integer be x.

If x is increased by 15%, then the value of the number would be

115/100x=1.15x

If 1.15x is decreased by 17%, then the value of the number would be:

(100-17)/100×1.15x

83/100×1.15x=0.9545x

6 0

4 years ago

Read 2 more answers

Find the surface area of the triangular prism shown below.

Vilka [71]

Answer:

118^2

Step-by-step explanation:

Solve for the area of 1 base and multiply by 2

Find the area of 1 of the top sides and multiply by 2

Find the area of the bottom side

Add them all together

7 0

3 years ago

Read 2 more answers