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4 years ago

How do you solve this problem in the photo?

Mathematics

2 answers:

Klio2033 [76]4 years ago

6 0

Answer: 5^2

Step-by-step explanation:

Since the base are all the same, you will add the exponents and let the exponents stay the same.

5^3 * 5^4= 5^7 * 5^-5= 5^2

Mashcka [7]4 years ago

6 0

Answer:

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

The rule can be extended to include more than 3 terms.

Given

5³ × $5^{4}$ × $5^{-5}$

= $5^{(3+4-5)}$

= 5²

= 25

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2. There are some nickets, dimes, and quarters in a large piggy bank. For every 2 nickels, there are 3 dimes. For every 2 dimes,

Elena-2011 [213]

Answer: There are 80 nickels, 120 dimes, and 300 quarters.

Step-by-step explanation:

Since for every 2 dimes there are 5 quarters, and for every 2 nickels there are 3 dimes, there can be 4 nickels, so there will be 6 dimes and 15 quarters. When you add all of them up it equals 25, so you take 500 divided by 25, and that equals 20, so you take the 4 nickels, 6 dimes, and 15 quarters times 20.

20 x 4 = 80

20 x 6 = 120

20 x 15 = 300

Hope this helps! :D

5 0

3 years ago

How do you solve this?

Naddika [18.5K]

$\dfrac{3+4i}{2+i}=\dfrac{(3+4i)(2-i)}{(2+i)(2-i)^{(*)}}=\dfrac{3\cdot2-3\cdot i+4i\cdot2-4i\cdot i}{2^2-i^2^{(**)}}\\\\=\dfrac{6-3i+8i+4}{4-(-1)}}=\dfrac{10+5i}{4+1}=\dfrac{10+5i}{5}=\dfrac{10}{5}+\dfrac{5i}{5}=\boxed{2+i}\to \boxed{a=2}\\\\used:\\(*)\ (a+b)(a-b)=a^2-b^2\\(**)\ i^2=-1$

5 0

4 years ago

The volume of the figure. Round to the nearest tenth

Mama L [17]

The answeris675 yards

3 0

3 years ago

Denise lives in a two-story house with a basement. The first

Umnica [9.8K]

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at an elevation of −10.5 feet

The second story floor has an elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

7 0

3 years ago

Im given a XY line, the midpoint is (3.-5) and the Y end is (0,2) how do I find the X ending of the line

romanna [79]

Using the midpoint formula, the coordinates of the endpoint X, are calculated as: X(6, -12).

<h3>How to Apply the Midpoint Formula?</h3>

The midpoint formula is expressed as: M(x, y) = [(x_1 + x_2)/2, (y_1 + y_2)/2].

We are given the following:

Line XY has a midpoint with the coordinates: (3, -5)

It has one endpoint: Y(0, 2)

To find the coordinates of the other endpoint, X, let:

X(?, ?) = (x_1, y_1)

Y(0, 2) = (x_2, y_2)

M (x, y) = (3, -5)

Plug in the values into the midpoint formula

M(3, -5) = [(x_1 + 0)/2, (y_1 + 2)/2]

Isolate and solve each variable

3 = (x_1 + 0)/2

6 = x_1

x_1 = 6

-5 = (y_1 + 2)/2

-10 = y_1 + 2

-10 - 2 = y_1

y_1 = -12

Therefore, the coordinates of the endpoint X, are: X(6, -12).

Learn more about the midpoint formula on:

brainly.com/question/13115533

#SPJ1

7 0

2 years ago