What is the domain of the following function ?

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

9514 1404 393

Answer:

  114.8°

Step-by-step explanation:

The angles can be found using the Law of Cosines. It tells you ...

  c² = a² +b² -2ab·cos(C)

Then angle C can be found to be ...

  C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))

  C = arccos(-419/1000) ≈ 114.77°

The measure of the obtuse angle is about 114.8°.

Answer:

The experimental factor is the drug to alleviate inflammation paste form

Step-by-step explanation:

An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically

In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)

Team A is administered the paste form of the drug being experimented

Team B is administered a similar paste with no active ingredient

Therefore, the experimental factor is the drug being administered in paste form

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's use the formula for the work rate:

Ted's work rate = 1/3 of the field per hour

Jacob's work rate = 1/2 of the field per hour

Together, their work rate.

= (1/3 + 1/2) of the field per hour

Now,

We can simplify the equation for the combined work rate by finding a common denominator:

(1/3 + 1/2)

= (2/6 + 3/6)

= 5/6 of the field per hour

Now we can use the formula for the work rate to solve the time it would take them to clear the field together:

(5/6)t = 1

(where t is the time in hours)

Solving for t:

(5/6)t = 1

t = 6/5

Therefore,

It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.

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Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)

m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

66

Step-by-step explanation:

he uses 66 in one day

Answer:

C

Step-by-step explanation:

Let m represent Mark's age and j represent Jeffrey's age.

Mark is five years older than Jeffrey. Hence:

[tex]m=j+5[/tex]

The sum of Mark's age and triple Jeffrey's age is 73. In other words:

[tex]m+3j=73[/tex]

We can substitute:

[tex](j+5)+3j=73[/tex]

Therefore, our answer is C.

Answer:

y intercept is (0,-0.5) and the slope is 5.

Step-by-step explanation:

Let's rewrite the equation in slope intercept form.

Step 1: divide both sides by two:

[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]

Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]

Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]

[tex]y=\frac{10x+3}{2}-1[/tex]

[tex]y = 5x - \frac{1}{2}[/tex]

Answer:

it cost 80 dollars

Step-by-step explanation:

cost per bag for X brand =25 $

cost per bag for y brand = 20$

minimize Z=(25X +20 y)

further formulate the problem

the given constraints are

2x + y equal 12

2x + 9y equal 36

2x + 3y equal 24

well on the graph given plot of the constraints

the corner points are

(0;0)

(6;0)

(0;4)

(9;2.5)

minimum z occurs at (0:4)

value of Z(minimum cost)=80$

Work Shown:

-2 + 11(17y + 15)

-2 + 11(17y) + 11(15) .... distributive property

-2 + 187y + 165

187y + (-2+165)

187y + 163

Answer:

2 and 3.

Step-by-step explanation:

2. and 3.

the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.

1. can't be an option as output values depend upon the input values and hence not independent

4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.

5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.

Answer:

(B, C, D)

Step-by-step explanation:

This scenario can be represented using this equation:

y = 3x + 7

y = total paintings after # of weeks (dependent variable)

x = # of weeks (independent variable)

3 = 3 paintings per week

7 = initial number of paintings

Let's evaluate each answer choice:

"The independent variable is represented by the ouput values"

No, this is wrong. The indepedent variable is the input values.

"The dependent variable is the total number of paintings"

This is correct. The total # of paintings is the output value, or the dependent variable.

"The total number of paintings depends on the number of weeks that have passed"

This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.

"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"

This is correct. There is only one possible output for each input.

"The number of weeks is the output value"

No, this is wrong. The total # of paintings is the output value, not the # of weeks.

Hope it helps (●'◡'●)

Answer:

Same side interior angles

Step-by-step explanation:

Same side interior angles are interior angles and on the same side. Sorry don't know how to better explain.

B)  p and the q are switched

C) Neither p or q is negated

========================================================

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

Side notes:

Answer:

wht yr u in tis is too hard yk

Step-by-step explanation:

Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

the coordinates of endpoint B are (7,7)

Answer:

Solution given:

M(x,y)=(2,-1)

A[tex](x_{1},y_{1})=(-3,5)[/tex]

Let

B[tex](x_{2},y_{2})=(a,b)[/tex]

now

by using mid point formula

x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]

$ubstituting value

2*2=-3+a

a=4+3

a=7

again

y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]

$ubstituting value

-1*2=5-b

b=5+2

b=7

the coordinates of endpoint B are (7,7)

Step-by-step explanation:

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Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

³√5 / ⁴√5 = ¹²√5 = 5^1/12

5^1/12

Answer:

the answer is  5/|1 5

Step-by-step explanation:

Answer:

c = 1/4

-1-1 = -2

-3-5 = -8  

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

Answer:

(3,-5)

Step-by-step explanation:

The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

[tex]: \implies[/tex] x - 3x + 2 = -11

[tex]: \implies[/tex] -2x = -11 -2

[tex]: \implies[/tex] -2x = -13

[tex]: \implies[/tex] x = -13/-2

[tex]: \implies[/tex] x = 6.5

Answer:

x = 6.5

Step-by-step explanation:

[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]

[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]

And we need to find out the value of a/c .For that Multiply both of them , we have ;

[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]

Hence the required answer is 3/20 .

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

The solution for x is x = (y + 49)/7.

Given that an equation 7x - 49 = y, we need to determine the equation in for of x,

To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 7x - 49 = y.

Add 49 to both sides of the equation to isolate the term with x:

7x = y + 49.

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = (y + 49)/7.

Simplify:

x = (y + 49)/7.

Therefore, the solution for x is x = (y + 49)/7.

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Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

between  12  m/sec and  15 m/sec   the minimum common multiple  is 300 ( 300 is the smaller number that accept 12 and 15 as factors         12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point

Answer:

= -(1+7i)

Step-by-step explanation: