Exercises 12.3 Complete the following: 1. Complete the squares for each quadratic, list the center labeling its translated center: (g) x^2 + y^2 + 4x = 0

Answer:

nahnahnahnahnahnahnah

Answer:

c) -10(_40)=30

Step-by-step explanation:

because -+-=+

Answer: p = 15

Step-by-step explanation:

Answer:

1.32km (answer might differ slightly due to different values of speed of sound, in the range of 320 to 340 ms-1)

Step-by-step explanation:

Speed of lightning = 3 x 10^8 m/s (same as speed of light)

Speed of sound = 330 m/s (most common answer for speed of sound)

Let the time taken for lightning be T seconds

Time taken for thunder to reach her = (T + 4) seconds

Hence, an equation can be formed

Distance between lightning and her = Distance between thunder and her

Distance = Speed x Time

T(3x 10^8) = (T+4)(330)

((3 x 10^8) - 330)T = 4(330)

Solving, T = 4.40 x 10^-6

Hence,

Distance from storm = (4.40 x 10^-6)(3 x 10^8) metres

                                  = 1320m

                                   = 1.32 km

Answer:

0.8 miles(as kilometers 1.28748)

Step-by-step explanation:

You have 4 seconds and then you divide by 5 and then you get 0.8 miles turn that into kilometers and you get 1.28748.

1.

a. 60kg, 60g, 60cg, 60mg

b. 60mg, 60 cg, 60g, 60kg

2.

a. 7000m, 70m, 7m, 0.7m

b 0.7m, 7m, 70m, 7000m

3.

a. 20 daL, 400 ml, 60 L, 5cL

b. 5 cL, 60 L, 400 ml, 20 daL

hope this helps :)

the answer is above thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

thank you

Answer:

x=15/4 or x=3.75

Step-by-step explanation:

4/5*x=3

4/5=0.8

0.8*3.75=3

Answer:

-2.

Step-by-step explanation:

The origin is (0, 0). So:

The slope = (-2 - 0 )/  (1 - 0)

= -2/1

= -2.

Answer:

look the attachment in the above

Answer:

|x   y   1|

|7  -3   1| = 0

|4  -8   1|

x*(-3*1 - (-8)*1) - y*(7*1 - 4*1) + 1*(7*-8 - 4*-3) = 0

5x - 3y - 44 = 0

Step-by-step explanation:

Answer:

13/38

Step-by-step explanation:

To find the odds in favor of selecting a comedy, we divide the number of comedies by the total number of plays. In this case, there are 13 comedies out of a total of 38 plays  Therefore, the odds in favor of selecting a comedy are 13/38. I hope that helps!

Answer:

1) B

2) B

Step-by-step explanation:

1) funtion 1 slope is 4

function 2 we use y2-y1/x2-x1

10-6/3-1

4/2

2 is the slope of function 2

so function 1 is bigger

1) only b is correct because it lands on the same line of y=x

hopes this helps please mark brainliest

Answer:

Not possible

Step-by-step explanation:

Given that

The area of the pen is 150 ft²

Assuming that the length of the pen is x, then the breadth of the pen will be 24 - x

Area = length * breadth

Area = x (24 - x)

Area = 24x - x²

24x - x² = 150

x² - 24x + 150 = 0

Using general quadratic formula, we have

[-b ± √(b² - 4ac)]/ 2a

Where

a = 1

b = -24

c = 150

On solving the equation, we get a number in the complex form of "i", and not a real number. As such, it's not possible for the 24 feet to enclose the area

Answer:

a)168.725

b)168.735

168.725≤x<168.735

Step-by-step explanation:

a)168.73 - 0.005

168.725

b) 168.73 + 0.005

168.735

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

The population of bacteria in the culture after 11 hours is 581 using the exponential decay formula.

The total number of people living in a particular area, such as a city or town, region, country, continent, or the entire world, is typically referred to as the population. Governments frequently conduct censuses to estimate the number of residents living within their jurisdiction. A census is a process for gathering, analyzing, compiling, and releasing statistics regarding a population.

A culture of bacteria has an initial population of 220 bacteria, which doubles every eight hours, according to the information provided.

By applying the formula,

P(t)=P₀.\(2^{t/d}\)

P(t) is the population at the end of t hours.

P0 is the starting populace.

d is the doubling time, while t is the time in hours.

After 11 hours, we are asked to determine the bacteria population.

First, we will enter the following values in the doubling life formula as substitutes:

P(t)=220(\(2^{t/8}\))

Now we will substitute t=11 in our formula to find the population of bacteria after 11 hours as follows:

P(11)=220(\(2^{17/8}\))

P(11)=220(\(2^{1.4}\))

P(11)=220(2.639015822)

P(11)=580.5834807≈581

P(11)=581

Consequently, after 11 hours, there will be 581 bacteria.

To know more about the population, visit:

https://brainly.com/question/27991860

#SPJ1

The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

for more such question on substitution visit

https://brainly.com/question/22340165

#SPJ8

-3 + -17 = -(3+17) = -20

Note:

When adding 2 negatives, you add the numbers and put a minus sign in front of your answer, when adding a positive and a negative number, always put the positive number first and then remove the + sign and subtract.

Hope this helped!

Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

for such more question on common difference

https://brainly.com/question/25731911

#SPJ8

Purring. Although purring can mean a number of things, you can be sure that when your cat is curled up on your lap purring, they're expressing their love and contentment with you. ...

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

For such more questions on Cost of tile and carpet.

https://brainly.com/question/29574063

#SPJ8

Answer:

8:56

Step-by-step explanation:

3:7

24/3=8

8 times 7=56

Answer:

True

Step-by-step explanation:

The statement that most clearly shows an example of ethos is C. As the CEO of a major technology company, I am constantly making tough hiring decisions.

An ethos statement establishes the credibility, knowledge, and good moral character of the speaker or writer.

The use of ethos is meant to sound fair or to demonstrate credibility, expertise, education, or pedigree.

Thus, an example of ethos is when this CEO claims they constantly make tough hiring decisions.

Learn more about ethos at https://brainly.com/question/13118125

#SPJ1

Answer:

Alternative hypothesis Ha; is that the average time to accelerate from 0 to 60 miles per hour is greater than 7.7 seconds.

H0: u > 7.7

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let u represent the average time to accelerate from 0 to 60 miles per hour

Null hypothesis H0; is that the average time to accelerate from 0 to 60 miles per hour is equal to 7.7 seconds.

H0: u = 7.7

Alternative hypothesis Ha; is that the average time to accelerate from 0 to 60 miles per hour is greater than 7.7 seconds.

H0: u > 7.7

The total cost of the metal which will be used to construct the metal tank would be = $82.5

To calculate the area of the metal tank, the formula for the area of the cylinder is used which would be;

= 2πr (h+r)

Where

R = 12/2 = 6 ft

h = 4ft

π = 3.14

area = 2×3.14×6(4+6)

= 37.68×10

= 3.75 ft²

But 1ft² = $22

3.75ft² = X

make X the subject of formula;

X = 22× 3.75 = $82.5

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

The coordinates of point H' will be: H'(3, 9)

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

The original object's dimensions, orientation, or shape are unaffected by translation.

Translating a point P(x, y) 1 unit up means we need to add to use P'(x, y+1), that is adding 1 unit to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 1 unit up. So, use the formula

P(x, y) → P'(x, y + 1)

Thus, the coordinates of point H' will be:

H( 3, 8) → H'( 3, 8+1) → H'(3, 9)

Therefore, the coordinates of point H' will be: A'(3, 9).

learn more about translation , here :

https://brainly.com/question/12463306

#SPJ1