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Umnica [9.8K]
3 years ago
11

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
25^{\frac{1}{2}} \times 5^{-3} = 5^x

(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x

5^1 \times 5^{-3} = 5^x

5^{1 - 3} = 5^x

5^{-2} = 5^x

x = -2
You might be interested in
Dr bell donated 2(3x+60) dollars to the salvation army, 5x dollars to the church and $100 to a sport shop. If he donated a total
Andreyy89
He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550. 
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550. 
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550. 
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330. 
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.

Have a great day!!! :)
5 0
3 years ago
9
Zarrin [17]

Answer:

oa

Step-by-step explanation:

7 0
3 years ago
PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS
Oksi-84 [34.3K]

Answer:

A = 58.7 degrees

B = 66.9 degrees

C = 34.1 degrees

Step-by-step explanation:

<u><em>For <A:</em></u>

Tan A = \frac{opposite}{adjacent}

Tan A = \frac{23}{14}

Tan A = 1.6

A = Tan^{-1} 1.6

A = 58.7 degrees

<u>For <B:</u>

Sin B = \frac{opposite}{hypotenuse}

Sin B = \frac{23}{25}

Sin B = 0.92

B = Sin^{-1} 0.92

B = 66.9 degrees

<em><u>For <C:</u></em>

Sin C = \frac{opposite}{hypotenuse}

Sin C = \frac{14}{25}

Sin C = 0.56

C = Sin^{-1}0.56

C = 34.1 degrees

6 0
3 years ago
Be sure to show your work and solve for f: 12 = f - 13-2
ki77a [65]

Answer:

<h3>f =27</h3>

Step-by-step explanation:

12 = f - 13-2

Collect like terms and simplify

12+13+2 = f\\27 =f

Switch sides

f = 27

5 0
3 years ago
Read 2 more answers
I will be marking brainliest please help me with these questions.
krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

7 0
3 years ago
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