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3 years ago

PLZZZZZZZZZZZZZ HELP Simplify the expression. –5^4

Mathematics

2 answers:

AnnyKZ [126]3 years ago

8 0

Answer:

625

Step-by-step explanation:

–5^4 is simply -5 times -5 4 times

the negatives cancel each other

out

spin [16.1K]3 years ago

6 0

Answer:

625

Step-by-step explanation:

All it is saying to do is to do -5x-5x-5x-5

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Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height double

Vikentia [17]

Answer:

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

$\frac{k}{n}=\frac{15}{7}\\k=\frac{15}{7}n$ (1)

Then, Keith's height is increased by 16%, so the new height of Keith is

$k'=k+0.16 = 1.16k$ (2)

While the nephew's height is doubled:

$n'=2n$ (3)

We also know that Keith is now 34 cm taller than his nephew, so

$k'=n'+34$ (4)

Substituting (2) and (3) into (4), we get

$1.16k=2n+34$

And substituting (1),

$1.16\cdot \frac{15}{7}n=2n+34$

Solving for n,

$2.49n=2n+34\\\\0.49n=34\\n=\frac{34}{0.49}=69.4$

So the current height of the nephew is:

$n'=2n=2(69.4)=138.8 cm$

While Keith's current height is

$k'=138.8+34=172.8 cm$

So their total current height is

$k'+n'=172.8+138.8=311.6 cm$

8 0

4 years ago

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

s344n2d4d5 [400]

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: $A=P(1+\frac{r}{n})^{n*t}$

Putting values and finding P

$A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687$

So, The investment required is: $5687

3 0

3 years ago

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his

andrew11 [14]

Answer:

2b < 56

n = b - 2

b = n + 2

n < 27

b < 28

No, because the difference between Brittany and Nate's age is 2years

Step-by-step explanation:

A.)

Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death

Let Brittany's age = b

Twice Brittany's age = 2 × b = 2b

Lincoln's age = 56

2b < 56

B.)

Nate's age = n

Nate is 2 years younger than brittany who is aged 'b'

n = b - 2

C.) b = n + 2

D.)

If 2b < 56 and b = n + 2

2(n + 2) < 56

2n + 2 < 56

2n < 56 - 2

2n < 54 ; n < 27

2b < 56

b < 56/2

b < 28

No, because the difference between Brittany and Nate's age is 2years

4 0

3 years ago

What is the following product? 5 sqrt 4x^2?

lapo4ka [179]

Answer:

it is the 2nd 1

Step-by-step explanation:

i know this because i do

6 0

3 years ago

Read 2 more answers

An apple orchard has an average yield of 40 bushels of apples per tree if tree density is 28 trees per acre. For each unit incre

Mandarinka [93]

Answer:

24 trees per acre

Step-by-step explanation:

Let x be the optimal tree density per acre and y be the number of bushels yield per tree

Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction

Change of x from 28 is x - 28

Change of y from 40 is y - 40

Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96

The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have

$T = xy = x(-2x+96)$

$T = -2x^2 + 96x$

To find the maximum value of this, we can take the first derivative and set it to 0

$T^{'} = -4x + 96 = 0$

$4x = 96$

$x = 24$

We know this is a maxima because $T{''} = -4 < 0$ . So T is maximum when x = 24 trees per acre

7 0

4 years ago