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Paraphin [41]
3 years ago
14

55.69 rounded to the whole number

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

55.69 rounded to the nearest whole number is 56.

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Which expression is equivalent to (8^2)^-4
xz_007 [3.2K]

Answer:

C: \frac{1}{8*8*8*8*8*8*8*8}

Step-by-step explanation:

a^{-n} = \frac{1}{a^n}

Since a = 8^2 :

(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}

Since n = 4 :

(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}

6 0
3 years ago
Sydney purchases a new car for $27,500. The value of the car decreases at rate of 15% each year. In approximately will the $1,25
Pani-rosa [81]

Answer:

Time taken n = 19 years (Approx)

Step-by-step explanation:

Given:

Amount of car P = $27,500

Decrease rate r = 15% = 0.15

Final amount A = $1,254

Find:

Time taken n

Computation:

A = P[1-r]ⁿ

1,254 = 27,500[1-0.15]ⁿ

0.0456 = [0.85]ⁿ

Time taken n = 19 years (Approx)

8 0
2 years ago
Read 2 more answers
Item 14 A student solves the inequality −6v>42. Each step in the student's solution is shown below. Identify where the studen
Marizza181 [45]

Answer:

Step-by-step explanation:

Given the inequality solved by a student expressed as:

-6v>42

To get v, follow the simple steps

Step 1: multiply both sides by -1

-6v>42

-1(-6v)<-1(42)

6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)

Step 2: Divide through by 6

6v < 42

6v/6 < 42/6

v < 7

Hence the range of values of v are the values of v less than 7

Since we are not  given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.

5 0
3 years ago
I need help with this promblem it’s ALGEBRA 2!
AlekseyPX

Answer:

(f\circ h)(2)=2

Step-by-step explanation:

<u>Composite Function </u>

Given f(x) and h(x) real functions, the composite function named (f\circ h)(x) is defined as:

(f\circ h)(x)=f(h(x))

It can be found by substituting h into f.

We are given the functions:

f(x)=2x^2-9x+2

h(x)=x^2-4

It's required to find (f\circ h)(2)

As defined above:

(f\circ h)(x)=f(h(x))

Thus:

(f\circ h)(2)=f(h(2))

Find h(2):

h(2)=2^2-4=0

h(2)=0

Now:

(f\circ h)(2)=2(0)^2-9(0)+2

(f\circ h)(2)=2

8 0
3 years ago
Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat
trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

\mathbf{Length\ of\ the\ pool = 8}

\mathbf{Length\ of\ walkway = 1}

The perimeter of the patio is:

\mathbf{P_p = 4 \times Length\ of\ the\ pool}

\mathbf{P_p = 4 \times 8}

\mathbf{P_p = 32}

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

\mathbf{P_p = 4 \times (x  +2)}

Equate both expressions

\mathbf{P_p = P_p}

\mathbf{4 \times (x  +2) = 32}

Divide both sides by 4

\mathbf{x  +2 = 8}

Subtract 2 from both sides

\mathbf{x = 6}

So, the perimeter of the pool is:

\mathbf{P_{pool} = 4 \times 6}

\mathbf{P_{pool} = 24}

The amount of patio to remove is:

\mathbf{Amount = P_p - P_{pool}}

So, we have:

\mathbf{Amount = 32 - 24}

\mathbf{Amount = 8}

Hence, 8ft of the patio would be removed to install the pool

<em>See attachment for illustration</em>

Read more about perimeters at:

brainly.com/question/6465134

7 0
2 years ago
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