What is the image point (-5,3) if it is translated 3 units right and 2 units down

Answer:

92 degrees

Step-by-step explanation:

2(44)= 88

180-88= 92

The radius and its uncertainty of circle from the following values of L and h.  L = (125.0 ± 5.0) cm, h = (0.51 ± 0.22) cm and  L = (125.0 ± 5.0) cm, h = (57.4 ± 1.2) cm are (12232.9 ± 209.4) cm and (143.1 ± 1.3) cm respectively.

We can use the given equation to calculate the radius of the circle using the values of L and h:

R = L^2 / 2h + h / 2

Substituting the given values with uncertainties, we get:

R = (125.0 cm ± 5.0 cm)^2 / (2 × 0.51 cm ± 0.22 cm) + (0.51 cm ± 0.22 cm) / 2

R = 15158.4 cm^2 / 1.24 cm ± 6.16 cm^2 / cm

R = (12232.9 ± 209.4) cm

Therefore, the radius of the circle is approximately 12232.9 cm with an uncertainty of ±209.4 cm.

We can see that the second term of the equation (h/2) contributes to the final value of the radius. Therefore, it was necessary to use this term in the calculation of R.

Using the same equation with the given values of L and h, we get:

R = L^2 / 2h + h / 2

R = (125.0 cm ± 5.0 cm)^2 / (2 × 57.4 cm ± 1.2 cm) + (57.4 cm ± 1.2 cm) / 2

R = 15158.4 cm^2 / 114.2 cm ± 1.16 cm^2 / cm

R = (143.1 ± 1.3) cm

Therefore, the radius of the circle is approximately 143.1 cm with an uncertainty of ±1.3 cm.

In this case, the second term of the equation (h/2) is much smaller than the first term (L^2/2h) and contributes only a small amount to the final value of the radius. Therefore, in this case, it was not strictly necessary to include the second term in the calculation of R. However, including it can still help to more accurately represent the uncertainty in the final result.

To know more about Circle:

https://brainly.com/question/29142813

#SPJ4

Answer:

2

3,0

Step-by-step explanation:

The displacement of the compressor is 628 cubic centimeters. Other factors that affect the performance of a compressor include its operating pressure, flow rate, efficiency, and power consumption.

To find the displacement of the compressor, we need to use the formula:
Displacement = (pi/4) x bore^2 x stroke
Here, the bore is 8 centimeters and the stroke is 10 centimeters. So, substituting these values in the formula, we get:
Displacement = (pi/4) x 8^2 x 10
Displacement = (3.14/4) x 64 x 10
Displacement = 628.32 cubic centimeters

A compressor is a mechanical device that is used to increase the pressure of a gas or air by reducing its volume. It works by compressing the gas or air in a cylinder and then transferring it to a storage tank or other equipment. The displacement of a compressor is a measure of the volume of gas or air that is displaced or compressed during one complete cycle of the compressor. Therefore, the displacement of the compressor is 628 cubic centimeters. This means that during one complete cycle of the compressor, it displaces or compresses 628 cubic centimeters of gas or air. The displacement is an important parameter of a compressor, as it determines its capacity or the amount of gas or air that it can compress in a given time.

To know more about displacement  visit :-

https://brainly.com/question/28297627

#SPJ11

The displacement of the compressor is 160π cubic centimeters.

To find the displacement of the compressor, we first need to understand what displacement means. Displacement is the change in position of an object in a specific direction. In this case, the compressor has a bore of 8 centimeters and a stroke of 10 centimeters. The displacement of the compressor can be calculated as the product of the bore area (πr^2) and the stroke length.

Displacement = π(4^2) * 10 = 16π * 10 = 160π cubic centimeters.

https://brainly.com/question/33465623

#SPJ12

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

Learn more about fundamental here: brainly.com/question/33103886

#SPJ11

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

Learn more about Solving equations here:

brainly.com/question/13729904

#SPJ9

Answer:

tan−1(StartFraction 12 Over 5 EndFraction) = x

Step-by-step explanation:

The measure of the angle x in the right triangle ABC is equal to

Scenario A) Using cos

Cos x=adjacent/hypotenuse

=AC/AB

=5/13

x=cos x^-1=5/13

Scenario B) using sin

Sin x=opposite/hypotenuse

=BC/AB

=12/13

x=sin x^-1=12/13

Scenario C). Using tan

tan x=opposite/adjacent

=BC/AC

=12/5

x=tan x^-1=12/5

tan−1(StartFraction 12 Over 5 EndFraction) = x

The correct answer is option B which is \(tan^-1(\dfrac{12}{5})=x\)

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The measure of the angle x in the right triangle ABC is equal to

Scenario A)

Using cos

Cos x =adjacent/hypotenuse

Cos x = AC/AB

Cos x = 5/13

x = cos x^-1 = 5/13

Scenario B)

using sin

Sin x = opposite/hypotenuse

Sin x = BC/AB

Sin x = 12/13

x=sin x^-1=12/13

Scenario C).

Using tan

tan x =opposite/adjacent

tan x =BC/AC

tan x =12/5

x = tan x^-1=12/5

From the figure attached, we can see that the angle BAC will be\(tan^-1(\dfrac{12}{5})=x\).

Therefore the correct answer is option B which is \(tan^-1(\dfrac{12}{5})=x\)

The complete image of the triangle is attached with the answer below.

To know more about trigonometry follow

https://brainly.com/question/24349828

#SPJ5

The value of x in the triangle STV is 12 and the value of x in WYZ is 20 degrees

Isosceles triangle is a triangle in which the two sides and their angles are equal

SV=TV from the triangle STV

2x+6 = 3x-6

Take the variables on one side and constants on other side

6+6=3x-2x

12=x

So the value of x is 12

In the triangle WYZ

3x=60

Divide both sides by 3

x=20 degrees

Hence, the value of x in the triangle STV is 12 and the value of x in WYZ is 20 degrees

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Therefore , the solution of the given problem of fraction comes out to be  "1 pound" is the right response.

Any combination of sections of the same size can be used to represent the whole. Quantity is described as "a portion" under a particular measurement in Standard English. 8, 3/4. Fractions are included in wholes. These act as the ratio divisor, which is a pair of integers in mathematical words. Here are a couple of examples showing how to change straightforward halves into entire numbers.

Here,

Nathan picked 3 pounds of strawberries compared to Sarah's 4 pounds. We can deduct Nathan's picking from Sarah's picking to see how much more Sarah picked than Nathan.

=>Sarah's picking and Nathan's picking =

=> 4 pounds - 3 pounds =  1 pound, respectively.

This means that Sarah harvested 1 pound more strawberries than Nathan did.

Therefore, "1 pound" is the right response.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8

y ≥ 34 x −8

Multiply 34 by −8.

y≥−272

Step-by-step explanation:

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

To know more about variables visit:

https://brainly.com/question/29583350

#SPJ11

Answer: \(x^{2} -5x+3\\\)

Step-by-step explanation:

Step-by-step explanation:

volume=8448m²

volume=l×b×h

=11m×8m×t

=88m²×t

therefore, 88m²×t=8448m²

t= 8448/88

= 96

Check:-

volume= l×b×h

=11m×8m×96

=8448m³

Our answer is correct

Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

for more questions on variables

https://brainly.com/question/29058061

#SPJ11

Answer:

y = 28

Step-by-step explanation:

0.5y + y/ 3 = 0.25y + 7

1.5y / 3 = 0.25y + 7

y/2 = 0.25y + 7

y = ( 0.25y + 7)*2

y = 0.5y + 14

y - 0.5y = 14

0.5y = 14

y = 14/0.5

y = 28

Answer:

Jeff will have 48 rabbits by May

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: p = (-1/3)x + 700

Step-by-step explanation:

To find the equation of the line that relates the price of the recliners to the number sold, we need to use the two given data points: (p=300, x=600) and (p=275, x=675).

We know that the equation of a line in slope-intercept form is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The slope formula is (y2-y1)/(x2-x1).

In this case, the dependent variable is the price (p) and the independent variable is the number of recliners sold (x). So we want to find the equation p = mx + b.

First, we need to find the slope (m) of the line. The slope is given by:

m = (change in p) / (change in x)

m = (275 - 300) / (675 - 600)

m = -25 / 75

m = -1/3

Next, we can use one of the given data points and the slope to find the y-intercept (b) of the line. Let's use the point (300, 600):

600 = (-1/3) * 300 + b

600 = -100 + b

b = 700

Therefore, the equation that relates the price of the recliners to the number sold is:

p = (-1/3)x + 700.

Answer:

3x-2y=9 and x-y=5 *

0x0.3

Step-by-step explanation:

Answer:

3x-2y=9 and x-y=5

Step-by-step explanation:

1. The simplified form is 3.

2. By manipulation and simplification, both sides are equal to 2tan(x), proving the identity.



1. To simplify the expression \(2\sin^2 x + 2\cos^2 x + \frac{\tan x \cos x}{\sin x}\), we start by using the Pythagorean identity \(\sin^2 x + \cos^2 x = 1\) to rewrite the expression as \(2(1-\cos^2 x) + 2\cos^2 x + \frac{\tan x \cos x}{\sin x}\). Simplifying further, we get \(2 + \frac{\tan x \cos x}{\sin x}\). Using the identity \(\tan x = \frac{\sin x}{\cos x}\), we simplify \(\frac{\tan x \cos x}{\sin x}\) to \(1\). Therefore, the simplified form of the expression is \(2 + 1 = 3\).

2. To prove the identity \(\frac{1}{\sec x-\tan x}-\frac{1}{\sec x+\tan x}=\frac{2}{\cot x}\), we multiply the numerator and denominator of the first fraction by \(\sec x + \tan x\) and the numerator and denominator of the second fraction by \(\sec x - \tan x\). After simplification, we obtain \(\frac{2\tan x}{\sec^2 x - \tan^2 x}\). Using the Pythagorean identity \(\sec^2 x = 1 + \tan^2 x\), we further simplify the expression to \(\frac{2\tan x}{1}\), which equals \(2\tan x\). This matches the right-hand side of the identity, \(\frac{2}{\cot x}\). Therefore, the left-hand side is equal to the right-hand side, and the identity is proven.

1. The simplified form is 3. (2. )By manipulation and simplification, both sides are equal to 2tan(x), proving the identity.

To learn more about Pythagorean click here brainly.com/question/28032950

#SPJ11

Answer:

the unit rate would be 66 units per minute

Step-by-step explanation:

2,046/31 = 66

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

Know more about  probability  here:

https://brainly.com/question/25839839

#SPJ8

Answer:

Step-by-step explanation:

To find the volume of a sphere, we use the formula:

V = (4/3) * π * r^3

where r is the radius of the sphere.

We are given that the radius of the sphere is 7 cm and we can use 3 as an approximation for π. Substituting these values in the formula, we get:

V = (4/3) * 3 * 7^3

V = (4/3) * 3 * 343

V = 4 * 343

V = 1372

Therefore, the volume of the sphere is 1372 cubic centimeters.

a)  The Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is:

T2(x) = 1 + 0(x-0) + (1/2)(2)(x-0)^2

T2(x) = 1 + x^2

b)   The interval is [-0.1,0.1], we can take the maximum value of |x| to be 0.1. Thus,

|R2(x)| ≤ 0.25229 (rounded to six decimal places).

(a) The Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is given by:

T2(x) = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2

Since a=0 and f(x) = sec(x), we have:

f(0) = sec(0) = 1

f'(x) = sec(x)tan(x)

f'(0) = sec(0)tan(0) = 0

f''(x) = sec(x)tan^2(x) + sec(x)

f''(0) = sec(0)tan^2(0) + sec(0) = 2

Therefore, the Taylor polynomial of degree 2 for f(x) = sec(x) centered at a = 0 is:

T2(x) = 1 + 0(x-0) + (1/2)(2)(x-0)^2

T2(x) = 1 + x^2

(b) Taylor's Inequality states that if |f^(n+1)(c)| ≤ M for all x in the interval [a,x] and some constant M, then the remainder term Rn(x) satisfies the inequality:

|Rn(x)| ≤ M/[(n+1)!]|x-a|^(n+1)

In this case, we need to estimate the maximum value of the third derivative of f(x) = sec(x) on the interval [-0.1,0.1]. We have:

f'''(x) = sec(x)[3tan^2(x)+sec^2(x)]

Since sec(x) is always positive and increasing on the interval, we only need to consider the maximum value of 3tan^2(x)+sec^2(x) on the interval. This occurs at x = 0.1, and we have:

3tan^2(0.1)+sec^2(0.1) ≈ 9.025

So, we can take M = 9.025.

Using n = 2 and a = 0 in Taylor's Inequality, we get:

|R2(x)| ≤ 9.025/[(2+1)!]|x-0|^(2+1)

|R2(x)| ≤ 9.025/6|x|^3

Since the interval is [-0.1,0.1], we can take the maximum value of |x| to be 0.1. Thus,

|R2(x)| ≤ 0.25229 (rounded to six decimal places).

Learn more about interval polynomial here:

https://brainly.com/question/11536910

#SPJ11

Since the null hypothesis was not rejected, there is not enough evidence to conclude that under 46% of the residents favor construction of an adjoining bridge.

There are two decisions possible regarding the null hypothesis, as follows;

The hypothesis are given as follows:

The null hypothesis was not rejected, meaning that the conclusion regarding the mayor's claim is that there is not enough evidence from the sample of 190 voters to conclude that the percentage is below 46%.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

Answer:

Let's set up an equation;

12/100 * x = 16.5

where 12/100 is 12%

x is the number of the 12%

that would equal 16.5

So solve for x;

12/100 * x = 16.5

12/100x = 16.5

0.12x = 16.5

/0.12    /0.12

x = 137.5

Answer:

the median is 8

Step-by-step explanation:

hope this helps!

2,5,6,7,8,10,11,12,14

Answer:

8

Step-by-step explanation:

Rearrange to 2 5 6 7 8 10 11 12 14 in ascending order

Take the center number

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

Learn more about area here:

https://brainly.com/question/19305981

#SPJ4