Five eighths added to Q number is 4. Determine the number.

Answers

Answer 1

Answer: Yes five eights added to Q is 4!

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A quadrilateral with vertices (-3,2),(-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5. Which matrix represents the quadrilateral after it has been dilated?
A.) 1.5 2.5 -2 -3.5
-1 2 -3 0
B.) -1.5 -2.5 2 3.5
1 -2 3 0
C.) -4.5 -7.5 6 10.5
3 -3 9 0
D.) -3.5 -5.5 4.5 7. 5
2.5 -4.5 6.5 0.5

Answers

Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)

dilated by a scale factor of 0.50

1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)

B.)
-1.5 -2.5 2 3.5
1 -2 3 0

A $30 pair of jeans is on sale for $15. What is the percent of change for the pair of
jeans?

Answers

Answer:

50%

Step-by-step explanation:

All we need to do is find out what percent 15 is compared to 30. So think of 30 as "100%" in this case. We know it's on sale and selling for $15 so all we need to do is figure out what $15 is compared to $30.

30 ÷ 15 = 15.

Luckily in this case 15 is half of 30. So half of "100" would be 50. 50%.

50% is your answer.

Hope this helps and have a nice day!

A principal decides to survey the parents at her school to find out their opinion onstandardized testing. She calls randomly-chosen parents between 4:00 and 5:00 P.M.
every day for a week and collects data on their responses. Identify the population
and the sample. Give a reason why the sample could be biased.
Oa)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: The parents who answered the phone may not be
representative of the whole population because younger parents are more
likely to answer the phone than older ones.
b)
Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not
be representative of the whole population.
Oc) Population: All parents with students at the school
Sample: All parents who respond to the survey
Possible Bias: Some parents do not like a particular teacher.
d)
Population: All parents who respond to the survey
Sample: All parents with students at the school
Possible Bias: Some of the people contacted did not answer every question

Answers

Answer: B

Population: All parents with students at the school

Sample: All parents who respond to the survey

Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not be representative of the whole population.

Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?

Answers

   5x = 6x² - 3
5x - 5x = 6x² - 5x - 3
       0 = 6x² - 5x - 3
   x = -(-5) ± √((-5)² - 4(6)(-3))
      2(6)
   x = 5 ± √(25 + 72)
      12
   x = 5 ± √(97)
   12
x = 5 + √(97) U x = 5 - √(97)
   12 12
$the\ values\ of\ x\ is\ (5 +/- √(97))/(12).$

The value of x are; x = 5 + √(97)/12 and x = 5 - √(97)/12.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given;

5x = 6x² - 3

Subtract 5x on both sides

5x - 5x = 6x² - 5x - 3

0 = 6x² - 5x - 3

x = -(-5) ± √((-5)² - 4(6)(-3)) / 2(6)

x = 5 ± √(25 + 72)/ 12

x = 5 ± √(97)/ 12

The value of x are;

x = 5 + √(97)/12

x = 5 - √(97)/12

Learn more about quadratic equations;

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A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.2 sq. in.?
8 sq. in.?
16 sq. in.?

Answers

The formula of the sector is expressed in the following expression:
Area = 0.5 * r^2 * theta
where r is the radius of the circle and theta is the angle in which the sector is measured and is expressed in radians. In this case, upon substitution
Area = 0.5*8^2 * 45 degrees * (pi/180 degrees)Area = 25.15 square inches

Answer:

The area of the sector is 8π or 25.133 square inches.

Step-by-step explanation:

The formula for area of a section is

$A=\pi r^2* ((\theta)/(360))$