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Rzqust [24]
3 years ago
11

They make 490 buttons in 3.5 hours how many did they make in an hour

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0
140 you divide 490 by 3.5.
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What is the following is the solution to the equation 25^(z+2) = 125
maksim [4K]

First, rewrite the equation 25^{z+2} = 125 with the base equal to 5. Note that:

  • 25=5^2;
  • 125=5^3;
  • 25^{z+2}=(5^2)^{z+2}=5^{2\cdot (z+2)}.

Then

5^{2\cdot (z+2)}=5^3.

Since the bases are equal, you have that powers are equal too:

2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.

Answer: z=-\dfrac{1}{2}.


3 0
4 years ago
Given that the hypotenuse of a triangle is c, which is the Pythagorean Theorem? a2 + c2 = b2 a2 – b2 = c2 2a + 2b = 2c none of t
Alexandra [31]
The pythagorean theorem states that a^2+ b^2=c^2.
Final answer: None of the above
6 0
3 years ago
Read 2 more answers
Joaquin writes the following list of numbers.
swat32

From the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Any number that can be written in the form of p/q, where p and q are integers, and q ≠ 0, are called rational numbers.

All terminating and non-terminating recurring decimals are rational numbers.

All the numbers that cannot be represented in the rational form of p/q are irrational numbers.

All non-terminating non-recurring decimals are irrational.

All square roots of imperfect square numbers, that is, surds, are irrational numbers.

In the question, we are asked to classify the given list of numbers into rational and irrational numbers.

  • 5.737737773...: It is an irrational number, since its a non-terminating non-recurring decimal.
  • 26: It is rational as it can be represented in the p/q form (26/1).
  • √45: It is irrational as it is a square root of an imperfect square number, that is, it is a surd.
  • -3/2: It is rational as it is in the form p/q.
  • 0: It is rational as it can be represented in the p/q form (0/1).
  • 9: It is rational as it can be represented in the p/q form (9/1).

Thus, from the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Learn more about rational and irrational numbers at

brainly.com/question/14994517

#SPJ9

The provided question is incorrect. The correct question is:

Joaquin writes the following list of numbers.

5.737737773..., 26, √45, -3/2, 0, 9.

Which numbers are rational?

Which numbers are irrational?

6 0
2 years ago
Triangle XYZ is translated 4 units up and 3 units left to yield ΔXYZ. What is the distance between any two corresponding points
Mashcka [7]
<h3>Answer:</h3>

5 units

<h3>Step-by-step explanation:</h3>

A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.

... d² = 4² +3² = 16 +9 = 25

... d = √25 = 5 . . . . units

7 0
3 years ago
Read 2 more answers
Find the length of each arc<br> r=13 ft x=90 degrees
VladimirAG [237]

Answer:

13\pi/2

Step-by-step explanation:

The formula of the circumference of a circle is 2\pi r.

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

2\pi *13=26\pi

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

26\pi*1/4=(13/2)\pi or 13\pi/2

I hope this helps :)

6 0
3 years ago
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