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2 years ago

2 to the exponent of 5 x 2 to the exponent of 15

Mathematics

1 answer:

just olya [345]2 years ago

6 0

Answer:

${2}^{150}$

Step-by-step explanation:

<u>Expression is represented as:</u>

$( {2}^{5 \times 2} )^{15}$

<u>Solve what's inside the parentheses:</u>

$(2^{10} )^{15}$

<u>Include exponent outside parentheses:</u>

$2^{150}$

This exponent represents 2 to the power of 150.

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0

2 years ago

Pls help sixowiskosixo

erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

$y = ax^2 + bx + c$

The given quadratic equation is $24x^2 + 2x = 15$

Let's rearrange the equation

$24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0$

This implies that

a = 24
b = 2
c = -15

The equation or formula of quadratic formula is given as

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}$

We can substitute the values into the equation and solve

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}$

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

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7 0

2 years ago

What is the truth value of (~p V q) ^ r if p is true, q is false, and r is true?

disa [49]

Answer:

i dont know im only getting points for this so i dont

fail and my mother hate me more for having to F's and to C's she wants all A's but pls dont get upset at me for not answering this pls it would be helpful

4 0

3 years ago

I need help with math

Nata [24]

Answer:

Question 13. I believe is C.

Step-by-step explanation:

take your area of the face you are given aka your 7 5/6 and multiply it by six since there are six faces.

You can convert the mixed number to an improper fraction

$7 \frac{5}{6}$ = denominator times the whole number ( 6x7)= then add the numerator (42+5)= $\frac{47}{6}$