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stich3 [128]
3 years ago
6

Show that 155 can be expressed as the sum of a power of 2 and a cube number. I

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

155 = 2^7 + 3^3

Step-by-step explanation:

3 cubed = 27

2 to the 7th power = 128

27 plus 128 = 155

have a shiny day.

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PLEASE HELP! Explain your answer, THANK YOU!
Misha Larkins [42]

Answer:

-2/-3

Step-by-step explanation:

(75, 60) (45, 40)

75       60               since 75 is larger than 45, we subtract = -30

45       40               since 60 is larger than 40, we subtract = -20

= -20/-30

reduce

= -2/-3

3 0
3 years ago
Which of the following is the balance for a single $3,200 deposit in an account with an APR of 2.6% that compounds interest quar
Flauer [41]

Answer:

FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590

Step-by-step explanation:

For this case we can use the formula for the future value with compound interest given by:

FV= P (1+\frac{r}{n})^{nt}   (1)

For this case since the interest is compounded quarterly we have 3 periods each year, since we have 3 quarters in a year.

r represent the rate =0.026

t = 6 represent the number of years

P = 3200 represent the amount invested at the begin

If we apply the formula (1) we got:

FV= 3200(1+\frac{0.026}{3})^{3(6)}=3200 (1.008667)^{54}= 50994.590

So then the balance after 6 years would be approximately 50995 with the conditions provided.

7 0
3 years ago
if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
lina2011 [118]

Answer:

<h2>\sqrt{30}</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {(3 \sqrt{2} )}^{2}  +  {(2 \sqrt{3} )}^{2}

To raise a product to a power, raise each factor to that power

{h}^{2}  = 9 \times 2 + 4 \times 3

Multiply the numbers

{h}^{2}  = 18 + 12

Add the numbers

{h }^{2}  = 30

Take the square root of both sides of the equation

h =  \sqrt{30}

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
A salesman earns 20% commission on all merchandise that he sells. Last month he sold $700 worth of merchandise. How much commiss
Neko [114]

Answer:

140$

Step-by-step explanation:

You can use the three rule step.

20%         ?

-------=------------

100%.    700$

Then u go 20 x 700 divided by 100 which gives you the 20% in $

6 0
2 years ago
i would be given out brainliest (20 points) 1. Write an equation of a line with a slope of 2/3 and y-intercept of 7. Write the e
aalyn [17]

Slope intercept form: y = 2/3x + 7

Standard form: 2x - 3y = -21

5 0
3 years ago
Read 2 more answers
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