The rule is x→y=−2x. Can you mark all the points that fit the rule on a coordinate plane?

Answer:

This is how it should like like

Hello!

\(\large\boxed{m1 = 40^{o}, m2 = 140^{o}}\)

Supplementary angles sum up to 180°, therefore:

m∠1 + m∠2 = 180°

x - 17 + x + 83 = 180°

Combine like terms:

2x + 66 = 180°

Subtract 66 from both sides:

2x = 114°

Divide both sides by 2:

x = 57°

Find the measures of both angles using this value:

m∠1 = 57 - 17 = 40°

m∠2 = 57 + 83 = 140°

Answer:

Angle 1: 40 degrees

Angle 2: 140 degrees

Step-by-step explanation:

1. Supplementary angles have a sum of 180 degrees. That being said, add the two expressions together and set them equal to 180. Then solve for x.

x-17+x+83=180 (combine like terms)

2x+66=180 (subtract 66 from both sides)

2x=114 (divide by 2)

x = 57

2. Now that you have determined that x is 57, plug that back into each expression to figure out the measurements for both angles.

Angle 1: 57 - 17 = 40.

Angle 2: 57+83 = 140

3. You can check your work by adding the two measurements and making sure that they equal 180 degrees. 40 + 140 does equal 180, and that is how you know solved it correctly. :)

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Each type of interviewer should be hired in order to maximize the number of interviews are 0 undergraduate students, 16 graduate students, and 4 faculty members and the maximum number of interviews is 644 according to the statistics given.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

The purposeful action is:

maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°

Given ,IV solution of 110 mL at a drip rate of 5 gtt/min using a tubing factor of 10 gtt/ mL. The formula used to solve infusion time is: Infusion time = Volume ÷ Flow Rate Substitute the values in the formula given above.  Infusion time

= 110 ml ÷ 50 gtt/min Infusion time = 2.2 min/ml To convert minutes into hours, we divide by 60. 2.2 min/ml ÷ 60 min/h = 0.0367 h/ml To determine the total time for 110 ml, multiply 110 ml × 0.0367 h/ml

= 4.037 h Round the time to the nearest tenth of an hour, which is one decimal place. Thus, the infusion time is 4.0 hours. Therefore, the infusion time for the given problem is 4.0 hours (rounded to the nearest tenth of an hour).

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The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

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Answer:

(-8,-2)

Step-by-step explanation:

x=2y-4 (equation 1)

7x+5y=-66 (equation2)

Substitute equation 1 in 2

7(2y-4)+5y=-66

14y-28+5y=-66

19y= -66+28

19y= -38

y= -38/19

—>y=-2

Now substitute y=-2 in equation 1

x=2y-4

x=2(-2)-4

x=-4-4

—> x=-8

==>(-8,-2)

Answer:

DP = 15.

Step-by-step explanation:

I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.

D is the midpoint of AB so

2x + 14 = 8x - 52

14+52 = 8x - 2x

6x = 66

x = 11.

So side AD = 2(11) + 14 = 36.

Now PC = PA = 39.

So by pythagoras:

DP^2 = AP^2 - AD^2

= 39^2-36^2 = 225

DP = sqrt 225

= 15.

Answer:  C

Step-by-step explanation:

when x increases by 1 y increases by 2 and is consistent

hope this helps :3

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625

Answer:A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Answer: Sorry i copied him lol

Step-by-step explanation: Have a nice day!

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Total for Likes Burritos: 70

Does not like burritos: 81

Total for does not like hamburgers: 95

I don't fully know if it's right because I got help from someone else

Answer:

(3,5)count manually to get(3,5)

The distance between the two points is √34

The formula for calculating the distance between two points is expressed as:

Given the coordinate points (1, 4) and (-2, -1). Substitute into the formula to have:

D = √(-1-4)² + (-2-1)²

D = √(-5)² + (-3)²

D = √25 + 9

D = √34

Hence the distance between the two points is √34

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Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

\((FG)(2) =20\\\)

Step-by-step explanation:

Given

\(F = \{(0, 1), (2, 4), (4, 6), (6, 8)\}\)

\(G = \{(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)\}\)

Required

(F G) (2)

In functions:

\((F G)(x) = (F * G)(x)\)

Which then gives:

\((F G)(x) = F(x) * G(x)\)

Substitute 2 for x

\((F G)(2) = F(2) * G(2)\)

From the given functions:

\(F(2) = 4\) i.e. \((2,4)\)

\(G(2) = 5\) i.e. \((2,5)\)

So:

\((FG)(2) = 4 * 5\)

\((FG)(2) =20\\\)

Answer:

Step-by-step explanation:

d = r* t

d/t = r

2.5/1.25=2 MPH

I think you are correct, I am not sure why. Maybe you ask your teacher and she or he made a mistake with this question.

Answer:

d

Step-by-step explanation:

Answer: ¡Quizás pueda ayudarte!

Step-by-step explanation:

¡Bueno, hay tres tres! los primeros tres en 43 en las milésimas! el segundo tres en el número es cien y el último 3 es decenas! ¡Realmente espero que esto ayude! ¡Por amigo!

A correlation coefficient is a statistic that tells us the strength and direction of the linear relationship between two variables.

The correlation coefficient is a measure of the degree of association between two variables. It quantifies how closely the data points align along a straight line. The coefficient can range from -1 to +1, where -1 represents a perfect negative linear relationship, +1 represents a perfect positive linear relationship, and 0 indicates no linear relationship.

The sign of the coefficient indicates the direction of the relationship, while the magnitude indicates the strength. A correlation coefficient of 0 does not necessarily imply the absence of any relationship; it only means that there is no linear association between the variables. It is important to note that correlation does not imply causation, as other factors may be influencing the relationship.

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Answer:

3 pi 9

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

when u plug in -6 u get the equation equal to 0 which means x+6 is a factor of that function.

Answer:

32 degrees

Step-by-step explanation:

180 - 116 = 64

64/2 = 32

Answer:

32°

Step-by-step explanation:

as it is an isosceles triangle from the sides mentioned above

so the other unknown angle is also x

interior angles of triangle sum up 180

so 116 + 2x = 180

2x = 180 -116

2x = 64

x = 32°

Answer:

300

Step-by-step explanation:

12/100*x=36

X=36*100/12

x=300

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

\(log_2(32)=y\) so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

\(log_b(x)=y\), the exponential form of it is

\(b^y=x\). We will apply that here to solve for y:

\(2^y=32\)

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

\(2^y=2^5\)

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

The solution to the given equation 0. 4(12 + 3x) = 0. 3(12x + 16) is; x = 0

The correct mathematical form of the given equation is as follows;

By solving; we have;

x = 0.

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