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svp [43]
2 years ago
10

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

(-\frac{3}{4}) ^{-4} × (-\frac{3}{4}) ^{-11} = (-\frac{3}{4}) ^{m} , that is

(-\frac{3}{4}) ^{(-4-11)} = (-\frac{3}{4}) ^{m}

(-\frac{3}{4}) ^{-15} = (-\frac{3}{4}) ^{m}

Equating exponents gives

m = - 15

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Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters
VashaNatasha [74]

Answer:

A. Area = 5/9 sq.meters

Step-by-step explanation:

Area = (lenght × widht)

A=(\frac{5}{6} )(\frac{2}{3}) =\frac{(5)(2)}{(6)(3)} =\frac{10}{18}

simplified

A=\frac{5}{9}

Hope this helps

3 0
2 years ago
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Sonbull [250]

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

  • F = 1800 N
  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

3 0
2 years ago
What fraction is equivalent to 5/10 and has a denominator of 100
valentina_108 [34]
Multiply numerator and denominator by the same number - 50/100.
8 0
3 years ago
Read 2 more answers
What is the length of AC?
sladkih [1.3K]
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.

Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.

The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.

Answer:
Side length AC in triangle ABC is 35 units.

Hope this helps!
7 0
3 years ago
What is the surface area of a cylinder whose radius is 3 inches and whose height is 10 inches? Round to the nearest tenth.
solmaris [256]
The answer is C. 244.9
8 0
2 years ago
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