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Liula [17]
3 years ago
14

What is 16 to the one billionth power

Mathematics
1 answer:
qwelly [4]3 years ago
3 0
The answer Its 4.5281 ....etc
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
An __________ is a mathematical sentence in which two sides are not equal and are separated with the symbols <, >, ≥, ≤
Artist 52 [7]

Answer: An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).

7 0
3 years ago
Read 2 more answers
What is the solution to -1/6 + (-3/7)
BartSMP [9]

Answer:

-25/42

Step-by-step explanation:

4 0
3 years ago
Identify a benchmark to find the equivalent percent for 6/10
Oxana [17]
60%=6/10

Hope this helps please mark this as brainliest answer

4 0
3 years ago
Read 2 more answers
You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_
gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): \$25000 \times 0.1=\$2500 . <em>$2500 is the 10% raise.</em>

Next, to find your first new salary, add $25000 and $2500 together: \$25000+\$2500=\$27500 . <u>$27500 is your new salary after the 10% raise.</u>

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. \$27500 \times 0.1=\$2750 . <em>$2750 is your 10% cut.</em>

Next, since this is a cut, subtract $2750 from $27500. \$27500-\$2750=\$24750 . <u>$24750 is your new salary after the 10% cut.</u>

Next, to find the percentage change, firstly divide $24750 by $25000. \frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\% . Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%: 100\%-99\%=1\% . <u>Your current salary is 1% less than what you used to make.</u>

6 0
4 years ago
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