MATHEMATICS HIGH SCHOOL

7. Find the value of x for which € || m.(1 point)
(x + 25)
30
35
55
80
7. Find the value of x for which € || - 1

Answers

Answer 1
Answer:

Answer:

  x = 30

Step-by-step explanation:

Corresponding angles are congruent where a transversal crosses parallel lines.

  55 = x +25

  30 = x . . . . . . . subtract 25

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What is the average(arithmetic mean)of all even integers between -5 and 7

Answers

Data:
all even integers between -5 and 7 = \{-4,-2,0,2,4,6\}
Number of even integers: 6 numbers
The simple arithmetic mean (A.M) is obtained by dividing the sum of the observations by their number.

A.M = ((-4)+(-2)+0+2+4+6)/(6) = (6)/(6) \to\:\boxed{A.M= 1}\end{array}}\qquad\quad\checkmark

Answer:
\boxed{\boxed{Arithmetic\:Mean=1}}

Penn stacks all of his snowballs in a square pyramid. The number of snowballs, P(n), in n layers of the square pyramid is given by P(n) = P(n-1) + n^2 Which could not be the number of snowballs Penn has? 5, 30, 25, 14

Answers

Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find

P(1) = 1

P(2) = 1 + 4 = 5

P(3) = 1 + 4 + 9 = 14

P(4) = 1 + 4 + 9 + 16 = 30

and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.

More generally, we would end up with

P(n) = 1^2 + 2^2 + 3^2 + \cdots + n^2 = \displaystyle \sum_(k=1)^n k^2 = \frac{n(n+1)(2n+1)}6

Then given some number of snowballs S, you could try to solve for n such that

S = n (n + 1) (2n + 1)/6

and any S that makes n a non-integer would be the answer.

Esther starts at one corner of a square field and walks 90 feet along one side to another corner of the field. She turns 90° and walks 70 feet, and then walks straight back to where she started. What is the area of the part of the field she walked around?a. 3150 ft²
b. 4900 ft²
c. 6300 ft²
d. 8100 ft²

Answers

Since it is a square field and she walked from one corner to another, each side of the square filed is 90 feet.
Since she walked 70 feet and then straight back to where she started, she has formed a triangle, the legs are 90 and 70 and the hypotenuse (the distance back to the start) is not needed to solve this problem.
So we have a triangle whose length is 90 and whose height is 70
A = (1)/(2) bh  or in this case (1)/(2) (90) x (70) or 1/2 of 6300.  Answer a.  3150 ft² is half of 6300 and is the correct answer

Help me please Algebra two!

Answers

Answer:

Zeros: -3 odd mult.; 0 odd mult.; 2 odd mult.

Positive leading coefficient

Odd degree likely 3

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

  • The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
  • Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
  • The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.

Jorge bought a new computer for $399 and extra computer memory for $42. Give the percentage of the total amount that Jorge spent was the cost of the computer? Round to the nearest tenth of a percent, if necessary. A. 9.5% B. 10.5% C. 90.5% D. 92.6%

Answers

The answer is letter D which is 90.5%. To come with the answer you need to add the cost of new computer which is $399 and the computer memory which is $42 with the total amount of $441. Then you $399 by $441 and multiple by 100%. 

Solution:

= $399 + $42

= $441

=$399/$441 x 100%

=.9048 x 100%

= 90.48% or 90.50%

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Answers

Answer: 3 laps

Step-by-step explanation:

To find out how many laps Andre swims per minute, we divide 12 by 4.

12/4 = 3
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