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2 years ago

Which expression is equivalent to 2^4 ⋅ 2^−7?

2 answers:

8 0

Remember
$(x^m)(x^n)=x^{m+n}$
and
$x^{-m}=\frac{1}{x^m}$

so
$(2^4)(2^{-7})=$
$2^{4-7}=$
$2^{-3}=$
$\frac{1}{2^3}=$
$\frac{1}{8}$

ivanzaharov [21]2 years ago

5 0

Answer:

The answer is 1 over 2^3

Step-by-step explanation:

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−11.9/−1<br> picture bellow is more clear

scZoUnD [109]

Answer:

11.9

Step-by-step explanation:

-11.9/-1

so the both cancel out each other

so it will just be 11.9 ,since it is -1

7 0

2 years ago

Which is an exponential growth function

svet-max [94.6K]

Step-by-step explanation:

what exactly are you asking

6 0

2 years ago

A bakery is selling cookies in two different boxed amounts. A box of 10 cookies costs $4.76, and a box of 25 cookies

soldier1979 [14.2K]

_______________________________

<h3>a) Box of 10: </h3><h3> up = m ÷ ti </h3><h3> = $4.76 ÷ 10 Cookies</h3><h3> = $0.476 ~ $0.48</h3><h3 /><h3> Box of 25: </h3><h3> up = m ÷ ti </h3><h3> = $10 ÷ 25 Cookies</h3><h3> = $0.4</h3><h3 /><h3>b) Box of 10 - Box of 25</h3><h3> = $0.48 - $0.4</h3><h3> = $0.08</h3><h3 /><h3>THE BOX OF 25 COOKIES IS CHEAPER BY $0.08 PER COOKIE.</h3>

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3 0

2 years ago

Read 2 more answers

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin

vesna_86 [32]

Answer:

Yes, he will have enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

He uses 250 ml to cover 1 $\text{m}^{2}$ .

From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

The lateral surface area of the cylinder = $2\pi rh$

where, r = radius of the cylinder = $\frac{\text{Diameter}}{2}$ = $\frac{1.1 }{2}$ = 0.55 m

h = height of the cylinder = 1.4 m

$\pi$ = 3.142 (given)

So, the lateral surface area of a cylindrical water tank = $2 \times 3.142 \times 0.55 \times 1.4$

= 4.84 $\text{m}^{2}$ .

Now, it is given in the question that; Tublu uses 250 ml to cover 1 $\text{m}^{2}$ area, this means that;

To cover 4.84 $\text{m}^{2}$ area, he will use paint = $4.84 \times 250$ = 1210 ml

Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

8 0

2 years ago

Juli2301 [7.4K]

<h3>Answer: 6 ounces</h3>

========================================================

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

3 0

2 years ago