PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

390625

^if that’s what you meant in the picture cause your question was confusing

Answer:

under

Step-by-step explanation:

We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

Answer:

[tex]g=6x+18[/tex]

Step-by-step explanation:

From the question we are told that:

Function

 [tex]f(x)=x^3+9x^2−81x+14[/tex]

Generally 1st derivative f'(x) of Fuction f(x) is

 [tex]f'(x)=3x^2+2*9(x)-81[/tex]

 [tex]f'(x)=3x^2+18(x)-81[/tex]

Generally 2nd derivative f''(x) of Fuction f(x) is

Where

 [tex]f''(x)=g[/tex]

Therefore

 [tex]g=3x^2+18(x)-81[/tex]

 [tex]g=2*3x^1+18[/tex]

 [tex]g=6x+18[/tex]

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

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Answer:

8

Step-by-step explanation:

range=highest number - lowest number

=8 - 0

=8

Answer:

The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.

Answer:

length=28 cm

the area = 196 cm²

Step-by-step explanation:

length = 4 × width

2×(4w+w) = 70

2×5w=70

10w=70

w= 7 cm

length = 4×7 = 28 cm

the area = 28 ×7 = 196 cm²

Answer:

Step-by-step explanation:

You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:

y = -.36(22) + 12.6 and

y = -7.92 + 12.6 so

y = 4.68F

Answer:

(4.3 ; 4.5)

Step-by-step explanation:

Given :

Sample size, n = 343

Sample Mean, xbar = 4.4

Standard deviation, σ = 0.9

Zcritical at 90%

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Margin of Error = 1.645 * (0.9/√343)

Margin of Error = 0.0799394

Lower boundary = 4.4 - 0.0799394 = 4.320

Upper boundary = 4.4 + 0.0799394 = 4.480

(4.320 ; 4.480)

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

-------------

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

----------------------

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

Answer:

11

Step-by-step explanation:

a^2 + 3b / c - 2d

put the numbers in the equation

3^2  + 3 x 8 / 2 - 2 x 5

pedmas

3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5

9 + 12 - 10

left to right

9 + 12 = 21

21 - 10 = 11

Answer:

the correct answer is 11

+ (3x8)/2 - (2x5)

9+ - 10

9+12-10=11

Step-by-step explanation:

Answer:

minimum- 19

first quartile - 26.5

median - 29

third quartile - 31

maximum - 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 65.4

not sure about area Sorry

Answer:

Let R = cost per foot of redwood, and

let P = cost per foot of pine.

The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and

the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.

So this is two equations and two unknowns, so we should be able to solve these.

Solve the first equation for P: 60 ft * R + 90 ft * P = $303

Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R

Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R

Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357

so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.

Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):

90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.

Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303

so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.

Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft

So P = $1.30/ft, and R = $3.10/ft.

To check this answer, plug both into the second equation:

90 ft * R + 60 ft * P = $357

90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357

Answer: 10

Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.

P(egret)

=

egrets

total

=

7

2+7+2+3

=

7

14

=

1

2

The experimental probability is

1

2

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

2

=

n

20

1

2

(220)

=

n

20

(220) Multiply both sides by (220)

120

= 2n Simplify

20

= 2n Simplify

10

= n Divide both sides by 2

You would expect to see 10 egrets out of the next 20 birds.

The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

First, write the experimental probability as a fraction in simplest form.

P(egret)=egrets

total

=7

2+7+2+3=

7/14=1/2

The experimental probability is

1/2

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1/2=n20

1/2

(220)=n20

(220) Multiply both sides by (220)

120 = 2n Simplify

20 = 2n Simplify

10 = n [Divide both sides by 2]

You would expect to see 10 egrets out of the next 20 birds.

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Answer:

88

Step-by-step explanation:

Answer:

perimeter is the length of all sides added together, since this a square and one side is 20 length, all sides must be 20 length. 20 + 20 + 20 + 20 = 80

The area is the length times width. 20 * 20 is 400.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Maximum  is at (1.5,14).

Minimum is at (4, 0).

y-intercept is at  (0, 9)

x intercept is at ( 4, 0).

increasing from x = 0 to x = 1.5 and x = 0 to 6.

decreasing from  x = 1.5 to x = 0

Answer:

: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob

ng mga bilog.

Step-by-step explanation:

Let's Write!

Directions: Write at least a five-sentence paragraph about the issue conveyed in the

picture using a pattern of idea development with its appropriate grammatical signals. A

rubric is given below for your guidance. Write your paragraph on a separate sheet of

paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement

is false. Write your answer on your answer sheet.

1. Always follow the routine “clean up while in use and clean up before keeping it”.

2. Manufacturer's instructions for operation and maintenance should be followed.

3. Employers have some control over potential hazards.

4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.

5. For the equipment with wheels, clean and check wheel-driven gears.

6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools

should be displayed for easy used and reach.

7. Only qualified people should carry out the maintenance and they should also keep

records of their inspections.

8. Check-up equipment irregularly to prevent serious breakdown.

9. Place guards on machinery to protect fingers and limbs.

10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement

is false. Write your answer on your answer sheet.

1. Always follow the routine “clean up while in use and clean up before keeping it”.

2. Manufacturer's instructions for operation and maintenance should be followed.

3. Employers have some control over potential hazards.

4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.

5. For the equipment with wheels, clean and check wheel-driven gears.

6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools

should be displayed for easy used and reach.

7. Only qualified people should carry out the maintenance and they should also keep

records of their inspections.

8. Check-up equipment irregularly to prevent serious breakdown.

9. Place guards on machinery to protect fingers and limbs.

10. Store electrical equipment outdoors.WORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

TreatmentWRITTEN WORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

Treatment

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

-------------------------

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = 2^x - 4[/tex]

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

Answer:

ok

Step-by-step explanation: