Help me I am stuck find the quotient of 38.5 and 0.5 this is a question for my kid

Answer:

a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.) -x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Step-by-step explanation:

As given A(2,1,3) and B(0,5,0)

a.)

We have to find C  in the xy-plane

⇒ C is of the form (x, y, 0)    ( Because in xy plane , z coordinate is zero)

Now, given AB and BC are the legs of the right triangle .

AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)

BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)

As AB and BC are legs of triangle

⇒AB is perpendicular to BC

⇒(AB).(BC) = 0

⇒( -2, 4, -3).( x, y-5, 0) = 0

⇒ -2x + 4(y-5) -0 = 0

⇒ -2x + 4y- 20 = 0

⇒ -x + 2y- 10 = 0

⇒ 2y = 10 + x

⇒ y = 5 + [tex]\frac{x}{2}[/tex]         ......(1)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AB = BC

⇒|AB| = |BC|

⇒|AB|² = |BC|²

⇒29 = (x)² + (y-5)²

⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²

⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²

⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²(  [tex]\frac{5}{4}[/tex] )

⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2

⇒ x = 4.82 , -4.82

⇒y = 7.41 , 2.59

so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.)

As given AB is the hypotenuse of the right triangle

S, AC and CB will perpendicular to each other

Now,

AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)

CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)

As, AC and CB is perpendicular

⇒(AC).(CB) = 0

⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0

⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0

⇒-x² + 2x + 5y - y² - 5 + y = 0

⇒-x² + 2x + 6y - y² - 5= 0    ..........(2)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AC = BC

⇒|AC| = |BC|

⇒|AC|² = |BC|²

⇒(x-2)² + (y-1)² + 9  = (x)² + (y-5)²

⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y

⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y

⇒14 - 4x - 2y  = 25 - 10y

⇒10y - 2y - 4x = 25 - 14

⇒8y - 4x = 11            ........(3)

Now, we have 2 equations

-x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Solve these equations to find x, y

Answer:

He would spend $5,200 a year.

Step-by-step explanation:

32,500 x 0.16 = 5,200

Answer: 3

Step-by-step explanation:

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).

Being inverse simply means that it "reverses" the operation that was applied to it with the original function .

For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2

Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2

So, 2/1 is in fact the inverse of 1/2.

Hence, f-1(x) is the same as 1/f(x)

Answer:

4

Step-by-step explanation:

2/3 ÷ 1/6 = 2/3 · 6/1 = 4

Answer:

It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.

Hope you enjoy !

Step-by-step explanation:

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today step by step can you tell me

Answer:

x=-1/3

x=7

Step-by-step explanation:

Not sure if this correct tho

Answer:

x=2

y=-5

Step-by-step explanation:

substitute y=-3x+1 in y=x-7

[tex]-3x+1=x-7[/tex]

[tex]-3x-x=-7-1[/tex]

[tex]-4x=-8\\x=2[/tex]

Substitute x=2 in any one of the given equations

y=x-7=2-7=-5

Answer:

it is a) the magician

Step-by-step explanation:

comment if its wrong mark me brainlest if it is right

Answer:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Answer:

explain

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

(1/2×3/3)+(2/3×2/2)=

3/6+4/6=

3+4/6=7/6 or 1 1/6

3+4 is the numerator over 6

Answer: All infants

Step-by-step explanation:

In statistics,

Population is a term that is used to represent the largest group sharing similar charcteristic from the researcher's point of view.

A sample is a subset of the population.

Here, a sample is collected of infants which were subjects for the study.

Objective of study: To check if reducing body temperature for 3 days after birth improved their chances of surviving without brain damage.

Here, the population of interest is "All infants".

Answer:

The answer is 6 seconds

Answer:

A

Step-by-step explanation:

Answer:

Sarah should produce four tons of coffee and total cost for four ton is $6,000.

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Selling price per ton = $2,400

Cost of production is increasing by $600 for each ton.

So, Cost of production first ton = $600

Cost of production for second ton = $600 + $600 = $1,200

Similarly, Cost of production for third ton = $1,200 + $600 = 1,800

Cost of production of fourth ton = $1,800 + $600 = $2,400

Here, Sarah can produce coffee till selling price = cost of production.

As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.

Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400

= $6,000

Sarah can produce 4 tons of coffee and the total cost of the production is $6000 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the total amount of coffee (in tons) should Sarah produce and the total cost of her coffee production:

Step 1 - Remember that Sarah can produce coffee unitil selling price is equal to the cost of production.

Step 2 - According to the given data, each additional ton of coffee costs $600 more to produce.

Step 3 - From the above steps, it can be concluded that Sarah can produce 4 tons of coffee because the cost of 4 tons of coffee is equal to the selling price.

[tex]600\times 4 = $2400[/tex]

Step 4 - So, the total cost of producing four tons of coffee is:

Total Cost = 600+ 1200 + 1800 + 2400

Total Cost = $6000

For more information, refer to the link given below:

https://brainly.com/question/1957976

Answer:

Hdhd

Step-by-step explanation:

Usu

The slope of the equation is 2. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The graph of a linear function is shown on the grid.

From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,

m = (5 - 0) / (0 + 2.5)

m = 5 / 2.5

m = 2

The slope of the equation is 2. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The missing graph is attached below.

Answer:

y= 3(x-2)^2-1

Step-by-step explanation:

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

Answer:

-0.003 x 2+.195 x -.483=0.  -0.003x^2+.195x-.483=0     2,3,3,3,5,3,2,3,

Prime factors. 1000,200,1000

square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Step-by-step explanation:

−0.003 x 2+.195 x −.483=0. Enter an ... -0.003x^2+.195x-.483=0 ... {Left,Right}. 2, 3, 3, 3. 5, 3, 2, 3. Product of all. Prime Factors, 1000, 200, 1000 ... Step 7 : ... Note that the square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Answer:

−x+y+1

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Answer:

14

Step-by-step explanation:

Keep, change, flip!

7/8 / 1/16

7/8 x 1/16

7/8 x 16/1

Equals...

112/8

Which can be simplified to...

14!

Hope this helped!

Answer:

14

Step-by-step explanation:

(7/8)/(1/16) = 7/8 × 16/1

7 × 16/8 = 7 × 2 = 14

Answer:

108 x 25²  divided by 2⁶ x 5² is equal to [tex]42\frac{3}{16}[/tex]

Step-by-step explanation:

Given;

108 x 25²  divided by 2⁶ x 5²

The expression is simplified as follows;

[tex]\frac{108\times 25^2}{2^6 \times 5^2} = \frac{108\times 625}{64\times25} =\frac{675}{16} = 42\frac{3}{16}[/tex]

Therefore, 108 x 25²  divided by 2⁶ x 5² is equal to [tex]42\frac{3}{16}[/tex]

Answer:

14/6

Step-by-step explanation:

Answer:

Streamers cost 2.50 and balloons cost 1.25.

Step-by-step explanation:

Pls mark brainliest.

Answer:

Balloon : $1.25

Streamer : $ 2.50

Step-by-step explanation:

Form simultaneous equations.

Let streamer be represented by ------------s

Let balloons be represented by ------------b

So the equations will be;

3s + 2b = 10 ----------------i

2s + 1b = 6.25---------------ii

Make the terms with s equal by multiplication

[3s + 2b = 10 ]2

[2s + 1b = 6.25]3

Perform subtraction

6s + 4b = 20

6s + 3b = 18.75

b = 1.25 ---------iii

Use  iii  in ii  as;

2s + 1b = 6.25

2s + 1.25 = 6.25

2s = 6.25 - 1.25

2s = 5.00

s= 5.00 / 2

s= 2.5

Hence ; a balloon is  $1.25   and a streamer is $2.5