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Marysya12 [62]
1 year ago
13

Math the expression to its side

Mathematics
1 answer:
adelina 88 [10]1 year ago
7 0

Answer:

Step-by-step explanation:

2^-4 = 1/(2x2x2x2)= 1/16

2^5= 2x2x2x2x2= 32

5^3 = 5x5x5= 125

5^-2 = 1/(5x5)= 1/25

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Which size would you see on the box for a new television whose screen measures 32 inches wide by 18 inches high?
zzz [600]

Answer:

37

Step-by-step explanation:

The calculation of size for a new television is shown below:-

With the help of Pythagoras theorem

h^2 = b^2 + p^2

where

h indicates hypotenuse which is the diagonal length

b indicates the base which is the length of the horizontal side

p indicates perpendicular which is the TV length of the vertical side.

h^2 = \sqrt{b^2 + p^2}

now, we will put the values into the above formula

= \sqrt{32^2 + 18^2} \\\\ = \sqrt{1024 + 324} \\\\ = \sqrt{1348}

Which gives result

= 36.7

or

= 37

5 0
2 years ago
Which of the following is a solution of x2 + 2x + 4?
ivolga24 [154]
Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate <span>x^2 + 2x + 4 to zero:

</span>x^2 + 2x + 4= 0.  "Completing the square" seems to be the easiest way to go here:

rewrite   x^2 + 2x + 4  as   x^2 + 2x + 1^2 - 1^2 = -4, or
                                              (x+1)^2 = -3
or                                            x+1 =i*(plus or minus sqrt(3))

or                                            x = -1 plus or minus i*sqrt(3)

This problem, like any other quadratic equation, has two roots.  Note that the fourth possible answer constitutes one part of the two part solution found above.
3 0
3 years ago
The table below shows the data for a random sample of fish that were collected from and later released into a lake: Catfish-52 G
castortr0y [4]
208 is the answer
add all the numbers multiply till 800
multiply 52 by the same number and you'll get the answer

6 0
3 years ago
Read 2 more answers
A shoe store is selling 3 pairs of shoes for $26.25 . If a mother is buying 4 pairs of shoes for her children for school, how mu
elena-s [515]

Answer: $35

Step-by-step explanation: If three pairs of shoes cost 26.25 you need to divide that by 3 to get the individual price of each pair of shoes, then add the price of the shoe individually to 26.25 and you will get your answer.

7 0
3 years ago
Read 2 more answers
Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
In-s [12.5K]

Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right

===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}

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y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D

\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
2 years ago
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