a shipment of 22-inch pipes contains a pipe that is exactly 21.78 inches. What is the percent error, rounded to the nearest percent.

Please explain what you did step by the step. Thank you!

Answers

Answer 1

The percent error of the shipment pipes is 1.01%

Percent error:

Percent error is defined as a difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

It can be calculated using the formula,

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

A shipment of 22-inch pipes contains a pipe that is exactly 21.78 inches.

Here we need to find the percent error of the shipment.

According to the percent error formula,

Here we have the values of the shipment are

Estimated value = 22

Actual value = 21.78

So, now we have to apply the values on the formula, then we get,

PE = (|22 - 21.78/21.78|) x 100

When we simplify it, then we get,

PE = 0.0101 x 100

PE = 1.01%

Therefore, the percent error in the shipment is 1.01%.

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Related Questions

Given f(x)= -6x+7, what are f(3) and f(-5). show your work please!!

f (3)=

f (-5)=

Answers

Answer:

f(3) = -11

f(-5) = 37

Step-by-step explanation:

f(x) = -6x + 7

We want to find f(3) and f(-5)

To do so we substitute the input with any x in the equation and evaluate.

f(3) = -6x + 7

==> substitute all x's with the input, 3

f(3) = -6(3) + 7

==> multiply -6 and 3

f(3) = -18 + 7

==> add -18 and 7

f(3) = -11

f(-5) = -6x + 7

==> substitute all x's with the input -5

f(-5) = -6(-5) + 7

==> multiply -6 and -5

f(-5) = 30 + 7

==> add 30 and 7

f(-5) = 37

R obery and dora need to write 4,300,000,000 using scentific notation robert wrote 4,300,000,000=4.3 10 9 whick descrbes. Whose number is correct and the reason it is

Answers

The number 4,300,000,000 in scientific notation is 4.3x10⁹.

What is a number?

A number is a quantitative entity that may be used to tally, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

The number 4,300,000,000 in scientific notation is 4.3x10⁹.

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help me wwqưqưeqưeqưeqưeqưeqư

Answers

Answer:

Step-by-step explanation:

So, what you need to do is find out the formula for this question. And your answer will come out to be x=32

What dose 10x+9-6x=-19 mean

Answers

Answer:

it algebra

Step-by-step explanation:

10x-6x=4x

Then the equation becomes

4x+9=-19

Then you subtract the 9 from -19

4x=-28

Now you have to separate the 4 from x

4x/4 and -28/4

So now you get

X=-7

1. Multiply.
0.7 times 100 equals what number?

A. 7
B. 70
C. 700
D. 7,000

2.Multiply.
0.13 times 10,000 equals what number?

A. 13
B. 130
C. 1,300
D. 13,000

3. Multiply.
0.63 times 0.01 equals what number?

A. 0.0063
B. 0.063
C. 0.63
D. 6.3

4. Divide.
0.37 divided by 100 equals what number?

A. 0.00037
B. 0.0037
C. 0.037
D. 0.37

5. Divide.
0.8 divided by 0.01 equals what number?

A. 8
B. 80
C. 800
D. 8,000

Answers

The various values using mathematical operations are;

1) B: 70

2) C:  1300

3) A: 0.0063

4) B: 0.0037

5) B:  80

How to use mathematical operations?

1) We want to multiply 0.7 times 100.

Now, 0.7 can be expressed as 0.7 = 7/10. Thus;

0.7 * 100 = 7/10 * 100 = 70

2) We want to multiply 0.13 by 10000.

0.13 can be expressed as;

0.13 = 13/100. Thus;

0.13 * 10000 = 13/100 * 10000 = 1300

3) We want to multiply 0.63 times 0.01.

They can be expressed as;

63/100 * 1/100 = 63/10000 = 0.0063

4) Divide 0.37 by 100.

0.37 can be expressed as 37/100. Thus;

0.37/100 = 37/100 ÷ 100

= 37/100 * 1/100 = 37/10000 = 0.0037

5) Divide 0.8 divided by 0.01.

They can be expressed as;

8/10  ÷ 1/100

= 8/10 * 100/1

= 80

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what is the height of the candle after 7 hours

Answers

Let

y -----> candle heigh in centimeters

x ----> burning time in hours

In this problem we have the ordered pairs

(5,22.5) and (17,16.5)

step 1

Find out the slope

m=(16.5-22.5)/(17-5)

m=-6/12

m=-1/2 -----> is negative because is a decreasing function

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=-1/2

point (5,22.5)

substitute

22.5=-(1/2)(5)+b

solve for b

b=22.5+2.5

b=25

therefore

y=-(1/2)x+25

step 3

For x=7 hours

substitute in the equation

y=-(1/2)(7)+25

y=-3.5+25

y=21.5 cm

I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(

Answers

Answer: 5.13

Step-by-step explanation:

1) Set up the equation

3.8(1.35)

2) Solve

5.13

The front suspension system of a passenger car typically has coiled springs attached to the front wheels. a typical spring has a spring constant k of about 82,000 k/m

Answers

If the front suspension system of a car has coiled springs of spring constant(k) of about 82,000N/m attached to the front wheels, then the force required to compress this spring by 1.2 cms will be  984N.

As per the question statement, the front suspension system of a passenger car has coiled springs attached to the front wheels and a typical spring has a spring constant "k" of about 82,000 k/m.

We are required to calculate the force required to compress this spring by 1.2 cms

To solve this question, we will need to apply the formula to calculate the force to compress a spring, which is known as the Hooke's Law. So, as per the Hooke's Law, the force (F) required to compress a spring of spring constant (k) by "x" units, can be represented as

[F = (k * x)]

Now comparing the RHS of the Hooke's Law equation with the data provided in the question statement, we get, (k = 82000 N/m) and

(x = 0.012 m), and using these values in the Hooke's law equation, we get, the force required to compress a spring of spring constant(k) of about 82,000N/m by 1.2 cms will be (82000 * 0.012)N = 984 N.

Spring Constant: The magnitude of force required to compress or stretch a spring by unit distance, is known as it's spring constant, and it varies from spring to spring, typically being based on the constituent elements of the spring.

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7/6 x 3 how to slove

Answers

The expression given: 7/6 x 3  can be calculated to get 7/2

what is multiplication?

This is a basic math operation that helps to determine the product of two or more numbers.

The numbers given here include a whole number and a fraction

What is a fraction?

A fraction refers  to classification of numbers to be represented as having a stroke dividing the two groups of numbers.

The numbers on top is referred to as numerators while the numbers below is referred to as the denominator

in the question the fraction is 7/6: The numerator is 7 while the denominator is 6

how to solve the multiplication problem

= 7/6 * 3

= 7/2

= 3.5

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How many seconds does it take for lighting to strike 7250

Answers

Answer:

Pues hablemos primero de lo que sucede antes de apagar la luz y usemos como ejemplo el viaje de un solo fotón.

Un fotón proveniente de un bombillo de luz blanca se dispara en línea recta hacia la pared. El material que cubre la pared, en este caso la pintura, tiene ciertas propiedades físicas y la energía del fotón es absorbida por un electrón de algún átomo de esa superficie. Ocurre una excitación del electrón, el cual ahora tiene más energía de la que normalmente tiene en su estado fundamental, y para regresar a su estado fundamental emite parte de esa energía como un nuevo fotón, este último de menor energía (frecuencia) que el anterior. La frecuencia dependerá del material y esa nueva frecuencia es la que da color a la pared. La luz blanca está compuesta por fotones de distintas frecuencias. Los de baja frecuencia son absorbidos y lo que se emite es en forma de calor, lo cual no puedes ver con tus ojos. Los de alta frecuencia tienen suficiente energía para que la energía que se re-emite sea visible y posiblemente sea re-emitida, cada vez con menos energía. Uno habla de que la luz “rebota” en el objeto. (Aunque “rebotar” no es necesariamente la acción correcta, voy a usar el término para simplificar).

Ahora digamos que ese fotón que “rebotó” en la pared rebota en otra pared y otra pared. Ese fotón es solo visible si en ese rebotar llega a tu ojo antes de que su energía sea demasiado baja. No podemos ver el calor ni las microondas que son fotones de baja energía. Al final la energía se va a convertir en calor, el cual es invisible al ojo humano.

Ese es el trayecto de un solo fotón. El bombillo produce un flujo de fotones en todas direcciones. Hay que recordar que esos fotones viajan a la velocidad de la luz. Cuando el bombillo se apaga, se interrumpe el flujo de fotones. Si se movieran a la velocidad del agua en una manguera, verías el flujo rebotando por varios segundos hasta que los fotones que más han rebotado desaparecen de tu vista por aquello de la baja frecuencia energética. Pero al viajar a la velocidad de la luz, el tamaño de la habitación se hace irrelevante y nuestra experiencia es prácticamente instantánea.

¿A donde va la luz? La luz no sale de la habitación sino que la calienta.

Select all sequence(s) of translations and reflections that were performed to show the two figures in each pair are
congruent. Image is shown with dashed lines.
*Remember to map the pre-image to the image. Select all that apply.

Answers

The sequence(s) of translations and reflections that were performed to show given two figures are congruent:

- Translate triangle ABC down and then reflect across vertical line.

- Reflect triangle ABC across vertical line and then translate down.

- ΔABC ≅ ΔDEF

In this question, we have been given a triangle and its image.

We need to select all sequence of translations and reflections that performed to show given figures in each pair are congruent.

From figure, we can see that the image of vertex A is vertex D, the image of vertex B is vertex E and the image of vertex C is vertex F.

In we translate the triangle ABC down and then reflect across vertical line then the image would be DEF.

We can do the same transformation by reflecting triangle ABC across the vertical line and then translating it down.

From above, we can conclude that, ΔABC ≅ ΔDEF

Therefore, the sequence(s) of translations and reflections that were performed to show given two figures are congruent:

- Translate triangle ABC down and then reflect across vertical line.

- Reflect triangle ABC across vertical line and then translate down.

- ΔABC ≅ ΔDEF

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a vehicle covers a distance of 524/25 kilometers on 7/8 liters of petrol. How much distance will it cover 2 liters of petrol

Answers

8.32 Km is the distance of how much it would be covered

A unit rate means a quantity at a rate of one of something.

The distance traveled with 2 liters of petrol is 47.9 km.

What is a unit rate?

A unit rate means a quantity at a rate of one of something.

It is written with a denominator of one. 

Example:

Man can walk 6km in 2 hours.

In one hour a man can walk 3 km.

We have,

A vehicle covers a distance of 524/25 kilometers on 7/8 liters of petrol.

This can be written as:

524/25 km = 7/8 liters

Multiply both sides by 8/7

8/7 x 524/25 km = 1 liter

23.95 km = 1 liter _____(1)

Now,

Multiply 2 on both sides of (1)

2 x 1 liter = 2 x 23.95 km

2 liter = 47.9 km

Thus,

The distance traveled with 2 liters of petrol is 47.9 km.

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The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).

Write a translation rule that maps point D(7,-3) onto point D'(2,5)
PLLS HELP if you do it in simple words and step by step i will give brainliest

Answers

Answer:

translates up 8 and 5 left

Step-by-step explanation:

To find the distance (x) it translate up, -3 + x = 5 where x = 8

To find the distance (x) it translate left, 2 + x = 7 where x = 5

Answer:

(x, y) → (x-5, y+8)

Step-by-step explanation:

A translation is a type of transformation that moves a figure up, down, left or right.

Calculate the change in the coordinates by subtracting the coordinates of point D from the coordinates of point D':

[tex]\implies (x_{D'}-x_D, y_{D'}-y_D)[/tex]

[tex]\implies (2-7, 5-(-3))[/tex]

[tex]\implies (-5, 8)[/tex]

Therefore, to map point D onto point D', move 5 units left and 8 units up.

Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) is:

(x, y) → (x-5, y+8)

30g 25´into second please solve its optional math question please solve it carefully its my project so question is 30grade25´ into second.

Answers

Answer:

Step-by-step explanation:

30.25g=296.6511625 m/s^2

c) Suppose that you take a random sample of 5,000 people from the U.S. population.Make a table that shows the expected number of people in your sample who come fromeach of the four age groups

Answers

In order to determine the number of people in the sample for each age group, here are the steps:

1. Determine what proportion in the entire population the population of each group. To get the proportion, simply divide the population of each respective group by the entire population.

2. To get the number of samples for each group, multiply the proportion by 5,000 and round the answer to the nearest whole number.

Now, let's apply the steps above in each group.

Let's start with ages under 18.

[tex]\begin{gathered} Proportion:74,181,467\div308,745,538=0.240267333 \\ Number\text{ }of\text{ }Samples:0.240267333\times5,000=1,201.33\approx1,201 \end{gathered}[/tex]

Hence, we are expected to have 1,201 people aged under 18 in the sample.

For those aged 18 - 44,

[tex]\begin{gathered} Proport\imaginaryI on:112,806,642\div308,745,538=0.3653709224 \\ Number\text{ }of\text{ }Samples:0.3653709224\times5,000=1,826.85\approx1,827 \end{gathered}[/tex]

Hence, we are expected to have 1,827 people aged 18-44 in the sample.

For those aged 45 - 64,

[tex]\begin{gathered} Proportion:81,489,445\div308,745,538=0.2639372395 \\ Number\text{ }of\text{ }Samples:0.2639372395\times5,000=1,319.68\approx1,320 \end{gathered}[/tex]

The expected number of samples for people aged 45-64 is 1,320.

Lastly, for aged 65 and over,

[tex]\begin{gathered} Proportion:40,267,984\div308,745,538=0.1304245051 \\ Number\text{ }of\text{ }Samples:0.1304245051\times5,000=652.12\approx652 \end{gathered}[/tex]

The expected number of samples for people aged 65 and over is 652.

To summarize, we have:

Age under 18 ⇒ 1,201 samples

18 - 44 ⇒ 1,827 samples

45 - 64 ⇒ 1,320 samples

65 and over ⇒ 652 samples

.

Find the values of the constant p q and r in such that when the polynomial f(x)=x^3 +px^2+ qx+ r is divided by (x+2),(x-1),and (x-3) the remainders are respectively -48,0 and 2 hence actoreise f(x) completely​

Answers

In the polynomial expression f(x) = x³ + px² +  qx +r, the values of p is 1/5, q is -66/5 and r is 12.

Polynomial:

Polynomial means an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Given,

Here we have the polynomial f(x) = x³ + px² +  qx +r

And it is divisible by (x+2),(x-1),and (x-3) the remainders are respectively -48,0 and 2.

Here we need to find the value of p, q and r.

Let us consider that the equations,

x + 2 = 0 then x = -2

x - 1 = 0 then x = 1

x - 3 = 0 then x = 3.

Now, apply these values on the polynomial expression then we get,

f(-2) = (-2)³ + p(-2)² +  q(-2) +r = -48

f(-2) = -8 + 4p - 2q +r = -48

f(-2) = 4p - 2q +r = -48 + 8

f(-2) = 4p - 2q + r = -40 ----------------------(1)

Apply the value of x as 1, then we get

f(1) = (1)³ + p(1)² +  q(1) +r = 0

f(1) = 1 + p + q + r = 0

f(1) = p + q + r = -1 ----------------------(2)

Apply the value of x as 3, then we get

f(3) = (3)³ + p(3)² +  q(3) + r = 2

f(3) = 27 + 9p + 3q + r = 2

f(3) = 9p + 3q + r = -25 ----------------------(3)

Now we have to solve the equation (2) and (1), then we get,

=> (4p -p) + (-2q - q) + (r - r) = -40 - (-1)

=> 3p -3p = -39

Divide it by 3, then we get

=> p - q = -13 ----------------------(4)

Similarly, solve equations (2) and (3), then we get,

=> (9p - p) + (3q - q) + (r - r) = -25 - (-1)

=> 8p + 2q = -24

Divide it by 2, then we get,

=> 4p + q = -12 ---------------------------(5)

Solve the equations (4) and (5), then we get,

=> (4p + p) + (q - q) = -12 - (-13)

=> 5p = 1

=> p = 1/5

Apply the value of p on equation (4), then we get the value of q as,

=> (1/5) - q = -13

=> -q = -13 -1/5

=> -q = -66/5

Apply the value of p and q on equation (2), then we get,

=> 1/5 + (-66/5) + r = -1

=> -65/5 + r = -1

=> -13 + r = -1

=> r = 12

Therefore, the value of p is 1/5, q is -66/5 and r is 12.

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4/7x = 28 solve for x simplify your answer as much as possible

Answers

I WILL USE CROSS MULTIPLICATION

[tex] \frac{4}{7x} = 28 \\ 4 = 28(7x) \\ 196x = 4 \\ \frac{196x}{196} = \frac{4}{196} \\ x = \frac{1}{49} [/tex]

ATTACHED IS THE SOLUTION

Answer:

16

Step-by-step explanation:

7x=28x4

7x=112

x=112/7

x=16

the weight of items produced by a machine is normally distributed with a mean of 7 ounces and a standard deviation of 3 ounces. what percentage of items will weigh between 4.3 and 8.65 ounces? a. 47.52%

Answers

27.80% is percentage of items .

What percentage means?

Percentage ,a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.

Mean = 7

standard deviation = 3 ounces

Required % = p (5.6<x < 7.1 ) × 100 = ?

z = x - μ/σ = 5.6 - 7/2

 z = 7.1 - 7/2 = 0.05

∴ P(5.6 < x < 7.1 ) = p ( - 0.7 < z < 0.05 )

   p( z < 0.05 ) - p (  z < - 0.7)

= 0.51994 - 0.24196 ≅ 0.2780

So, required % =  0.2780 × 100

                         = 27.80%

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Given g (x) = 3x+5 determine x for g (-2)

Answers

Answer:

-1

Step-by-step explanation:

when you change g[×] to g[-2] , 3x+5 change to 3[-2] +5

which is closest to 8? 7.5 , 7 6/10 , 7 2/5 , 7.02?

Answers

Answer:7 6/10 is the answer if you turn a fraction into a decimal like so

7.5=7.5, 7 6/10=7.6, 7 2/5=7.4, 7.02=7.02 i hope i helped

Step-by-step explanation:

Answer:  [tex]7\frac{6}{10}[/tex] is closest to 8.

Step-by-step explanation:

[tex]7\frac{6}{10} =\frac{70}{10} +\frac{6}{10} = \frac{76}{10} = 7.6[/tex]

[tex]7\frac{2}{5} = \frac{35}{5} +\frac{2}{5} =\frac{37}{5} =7.4[/tex]

7.02 < 7.4 < 7.5 < 7.6

7.02 < [tex]7\frac{2}{5}[/tex] < 7.5 < [tex]7\frac{6}{10}[/tex]

Find the measure of the exterior angle.

Answers

The measure of the exterior angle is a = 54

 

Where is the exterior angle?

The angle formed by a polygonal side and its extended neighboring side.The angle at all between the side of a shape and a line that extends from the next side is known as the exterior angle. The result of adding the interior and outside angles is a 180° straight line. "Supplementary Angles" is what they are.

the exterior angle 2a = a + 10 + 44

                               2a  = a + 54

                                 2a - a = 54

                                      a = 54

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The population of a fish farm is modeled by the equation where t is time in yearsP(t) = 1250/ 2+3e ^ -0.6tpart one)part two)part three)part four)part five)

Answers

The Solution:

Given the equation that modeled the population of fish after time (t) in years as below:

[tex]p(t)=\frac{1250}{2+3e^{-0.6t}}[/tex]

part 1:

We are to find the initial population of fish. This means we are to find the value of p when t = 0.

[tex]p(0)=\frac{1250}{2+3e^{-0.6(0)}}=\frac{1250}{2+3e^0}=\frac{1250}{2+3}=\frac{1250}{5}=250\text{ fish}[/tex]

Part 2:

We are required to find the doubling time (t) for this population (Round the answer to the nearest tenth). This means we are to find t when P(t) = 500.

Note: double of 250 fish is 2x250 = 500 fish.

[tex]\begin{gathered} p(t)=\frac{1250}{2+3e^{-0.6t}} \\ \\ \text{Where P(t)=500, and t=?} \end{gathered}[/tex]

[tex]\begin{gathered} 500=\frac{1250}{2+3e^{-0.6t}} \\ \text{Cross multiplying, we get} \\ \\ 500(2+3e^{-0.6t})=1250 \\ \text{ Dividing both sides by 500, we get} \\ \\ \frac{500(2+3e^{-0.6t})}{500}=\frac{1250}{500} \end{gathered}[/tex]

[tex]\begin{gathered} 2+3e^{-0.6t}=2.5 \\ \text{ Collecting the like terms, we get} \\ 3e^{-0.6t}=2.5-2 \\ 3e^{-0.6t}=0.5 \end{gathered}[/tex]

Dividing both sides by 3, we get

[tex]\begin{gathered} \frac{3e}{3}^{-0.6t}=\frac{0.5}{3} \\ \\ e^{-0.6t}=\frac{1}{6} \end{gathered}[/tex]

Taking the natural log of both sides, we get

[tex]undefined[/tex]

after paying 5.12 salad , kamauri has 27.10

Answers

The amount of money that Kamauri has at first will be 32.22.

How to calculate the cost?

From the information, it was stated that after paying 5.12 for salad, Kamauri has 27.10.

Based on the information given, the total amount of money that he had at first will be the addition of the cost of salad and the change left.

This will be illustrated as:

= 5.12 + 27.10

= 32.22

The amount is 32.22.

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After paying 5.12 for salad, Kamauri has 27.10. What was the total amount of money that he had at first?

Which expression is equivalent to 2x^ 2 -2x+7^ prime ?

Answers

The expression which is equivalent to; 2x² - 2x + 7 as required in the task content is; 2 (x - 0.5)² + 6.5.

Which expression is equivalent to 2x² - 2x + 7 as required in the task content?

It follows from the task content that the expression which is equivalent to; 2x² - 2x + 7 is to be determined.

Therefore, since the expression whose equivalent is to be determined is; 2x² - 2x + 7; we have;

2x² - 2x + 7

By completing the square method; we have;

2(x² - x) + 7

2 {(x - 0.5)² - 0.25} + 7.

2 (x - 0.5)² - 0.5 + 7

2 (x - 0.5)² + 6.5

Therefore, the required expression which is equivalent to the given expression is; 2 (x - 0.5)² + 6.5.

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Which of the following is the center and radius of the circle?
x² + y2 + 10x-6y + 15 = 0

Answers

The most appropriate form for equation of circle will be given by-

Centre = (-5, 3) and radius is [tex]\sqrt{19}[/tex] units

What is equation of circle?

A round figure whose all points on the boundary maintains a fixed distance from a point known as the centre of the circle and the fixed distance is called the radius of the circle.

If radius of a circle is doubled, we will obtain the diameter of the circle.

Equation of circle

[tex](x-a)^2 + (y-b)^2 = r ^2[/tex]

where (a, b) is the centre of the circle and r is the radius of the circle.

Here,

[tex]x^2 + y^2 + 10x-6y + 15 = 0[/tex]

[tex]x^2 + 2\times x\times 5 + 5^2 -5^2 +y^2 -2\times y\times 3 + 3^2 - 3^2 + 15 = 0\\(x+5)^2 + (y-3)^2-25-9+15=0\\(x+5)^2 + (y-3)^2-19=0\\(x+5)^2 + (y-3)^2=19\\ (x+5)^2 + (y-3)^2=\sqrt{19}^2\\[/tex]

Centre = (-5, 3) and radius is [tex]\sqrt{19}[/tex] units

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Raj has put soup into the freezer to cool down. The soups tempature started at
170 °f and decreased at a rate of 30 °f per hour.

Answers

what’s the question

Answer:

If the same cup of 190∘F soup is instead placed into a freezer set at 30∘F, what is the time required for the soup to cool from 190∘Fto135∘F in this situation?

17. An Uber ride costs a flat rate of $7 and you are charged $.65 per mile. What
is the algebraic expression for this situation? How much would it cost for 15
miles?
*

Answers

The suitable expression will be (0.65x = 7) and the cost of traveling 15 miles would be $9.75.

What are expressions?A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11 written as 8 + 3.

So, the flat rate is $7 and we're charged $0.65 per mile:

Let, 'x' be the number of miles traveled.

Then the suitable expression will be:

0.65x = 7

Cost if we traveled 15 miles:

So, 0.65x = y where x = 15.

0.65x = y0.65(15) = y9.75 = y

It would cost $9.75 for 15 miles.

Therefore, the suitable expression will be (0.65x = 7) and the cost of traveling 15 miles would be $9.75.

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Simplify the expression (2 − 5i)(3 + 7i) − (4 + 3i) and please be sure to explain your steps!

Answers

Answer:

2-33i

Step-by-step explanation:

(2 − 5i)(3 + 7i) − (4 + 3i)   |Set up equation|

6+14i-15i-35i-(4+3i)         |Multiply the numbers in the parentheses together using the distributive property|

6-1i-35i-(4+3i)                       Subtract like terms

6-36i-(4+3i)                           Subtract like terms

6-4-36i+31                          Open parentheses and put like terms together

2-33i                                    Answer

Hope this helped!

HELP PLS! How does the graph of g(x) = (x + 2)3 − 6 compare to the parent function of f(x) = x3?

Answers

It is to be noted that the graph of g(x) = (x+2)³ -6 compares to the parent function f(x) = x³ in that g(x) is shifted 2 units to the left and 6 units down. See the explanation below.

What is a parent function?

A parent function in mathematics is the simplest function in a family of functions that retains the concept of the whole family.

Here is how the transformation of a function can occur

Any change can occur during the transformation of a function.

Typically, they can be moved horizontally or vertically (by changing inputs or outputs), stretched (by multiplying outputs or inputs), and so on.

If the initial function is y = f(x), and the horizontal axis represents inputs and the vertical axis represents outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

A function sets the value of one set's elements to the value of another set's specified element.

Given that the parent function is f(x)=x³, while the transformed function is g(x)=(x+2)³ - 6. Therefore, the transformation of the parent function that results in the transformed function is that g(x) is shifted 2 units to the left and 6 units down.

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The transformation of the parent function results in the transformation which shows g(x) is shifted 2 units to the left and 6 units down.

What is a function?

The function is a type of relation, or rule, that maps one input to a specific single output.

A change can be moved horizontally or vertically (by changing inputs or outputs), stretched (by multiplying outputs or inputs), and so on.

If the initial function is y = f(x), and the horizontal axis shows the inputs and the vertical axis shows outputs, then:

Horizontal shift would be Left shift by c units; y=f(x+c) and Right shift by c units; y=f(x-c)

Vertical shift would be Up by d units; y = f(x) + d and Down by d units; y = f(x) - d

Stretching would be as Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given that the parent function is; f(x)=x³,

And the transformed function is; g(x)=(x+2)³ - 6.

Hence, the transformation of the parent function results in the transformation which shows g(x) is shifted 2 units to the left and 6 units down.

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14.2 cm correct 1 decimal place

Answers

The 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

What is rounding off the number?

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

It is given that:

14.2 cm correct 1 decimal place

14.2

Rounded to the nearest 0.1 or

the Tenths Place.

Rounded to the nearest tenth place. The 2 in the tenth place rounds down to 2 or stays the same because the digit to the right in the hundredth place is 14.2

Thus, the 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

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