Please explain part c

Answer:

20, 24

Step-by-step explanation:

smaller:   x

  larger:  2x - 16

x + 2x - 16 = 44

3x -16 = 44

3x = 60

x = 20

smaller:   x = 20

  larger:  2x - 16 = 2(20) - 16 = 24

Cultural factors and other variables can influence the choice of cooking fuel, and they may not necessarily be directly related to shopping behavior at a specific grocery store.

The probability of gas being used for cooking at a household, given that a person from the community does not shop at Prime Foods, cannot be determined without additional information or data. The shopping behavior at Prime Foods and the use of gas for cooking are unrelated variables, and their relationship would depend on various factors specific to the community and households.

To estimate the probability, one would need data or information on the overall usage of gas for cooking within the community, the shopping preferences of individuals in the community, and any potential correlations between these variables. Without such information, it is not possible to calculate the probability directly.

It's important to note that individual household preferences, energy availability, cultural factors, and other variables can influence the choice of cooking fuel, and they may not necessarily be directly related to shopping behavior at a specific grocery store.

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Answer:

Step-by-step explanation:

The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.

If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.

So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.

Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).

We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.

We are asked to give the reason why the line on the plane is not the representation of the given equation.

The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.

The line on the plane has a positive slope, so m = 3 can be its slope.

But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.

(Value of y is positive above the origin and negative below the origin)

(Value of x is positive to the right of the origin and negative to the left of the origin)

∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

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The exact solution of the given equation is 2x² - 2x + 5y² + 18y = C.

What is exact solution of differential equation?

Exact equations are certain differential equations that meet requirements, making it easier to find the solutions to them.

As per question given that,

Gerneral differential equation is,

(2x - 1) dx + (5y + 9) dy = 0

By comparing equation,

Mdx +Ndy = 0

Here,

M = 2x - 1

N = 5y + 9

Now finding the partial derivatives are,

dM / dy = d (2x -1) / dy

From derivative formula: [d (constant) / dy = 0]

Apply formula,

dM / dy = 0          ...... (1)

Similarly,

dN / dx = d (5y + 9) / dx

Differentiate partially with respect to x. keeping y is constant.

dN / dx = 0          ......(2)

Equate both equations (1) and (2),

dM / dy = dN / dx

The given differential equation is exact.

Then the general solution is,

∫ M dx + ∫ N dy = C

Substitute values respectively,

∫ (2x - 1) dx + ∫ (5y + 9) dy = C

∫ (2x) dx - ∫ dx + ∫ (5y) dy + ∫ 9 dy = C

2· x² / 2 - x + 5· y² / 2 + 9y = C

x² - x + 5· y² / 2 + 9y = C

Simplify terms,

2x² - 2x + 5y² + 18y = C.

Which is required solution.

Hence, the exact solution of the given equation is 2x² - 2x + 5y² + 18y = C.

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Because the scaling factor is a whole number, which is 3, the enlargement of the dashed triangle is a dilatation.

Recall:

Thus:

For the dashed triangle, measure the separation between the points (2, -2) and (0, -2).

Using the coordinates (6, -6) and (0, -6) for the solid triangle, calculate the equivalent distance:

Scale factor = 6/2 = 3

The dilation is an enlargement because the scale factor is a whole number.

In conclusion, the enlarged dashed triangle indicates a dilatation because the scale factor, which is 3, is a whole number.

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Cοmpletes the prοοf = (a + b + c) ± 2√a² + b² + c² - ab - bc - ac

An algebraic equatiοn is a mathematical statement that uses variables and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn tο express the equality οf twο algebraic expressiοns.

The gοal οf sοlving an algebraic equatiοn is tο determine the values οf the variables that satisfy the equatiοn.

Tο prοve this statement, we will start by simplifying the given equatiοn:

√x-3a + √x-3b = √x-3c

Subtracting √x-3a frοm bοth sides, we get:

√x-3b = √x-3c - √x-3a

Squaring bοth sides, we get:

(x - 3b) = (x - 3c) + (x - 3a) - 2√(x - 3a)(x - 3c)

Simplifying the right-hand side, we get:

(x - 3b) = 2x - 3(a + b + c) - 2√(x - 3a)(x - 3c)

Mοving all the terms invοlving x tο οne side, we get:

x - 2x + 3(a + b + c) = 2√(x - 3a)(x - 3c) + 3b

Simplifying, we get:

x = (a + b + c) ± 2√(x - 3a)(x - 3c) + 2bc - 2ab - 2ac

Nοw, let's simplify the expressiοn under the square rοοt:

(x - 3a)(x - 3c) = x² - 3ax - 3cx + 9ac

= x² - 3(a + c)x + 9ac

Plugging this back intο the expressiοn fοr x, we get:

x = (a + b + c) ± 2√(x² - 3(a + c)x + 9ac) + 2bc - 2ab - 2ac

Expanding the square rοοt, we get:

x = (a + b + c) ± 2√[(x - (a + c))² - (a - c)²] + 2bc - 2ab - 2ac

= (a + b + c) ± 2√(x - a - c)² - (a - c)² + 2bc - 2ab - 2ac

= (a + b + c) ± 2√(x - a - b - c)² - 4ab - 4bc - 4ac + 2a² + 2b² + 2c²

= (a + b + c) ± 2√a² + b² + c² - ab - bc - ac

This cοmpletes the prοοf.

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ok

Hose 1 = H = 5g/2 m

Hose 2 = M = 10g/8 m = 5g/4m

Hose 1 + Hose 2 = Total

5g/2 m + 5g/4 m = Total

10g/4m + 5g/4m = Total

15 gallons/4 min = total

15 gallons ---------------------------- 4 min

750 gallons -------------------------- x

x = (750 x 4) / 15

x = 3000 / 15

x = 200 min

Result. It will take 200 min to fill the pool

A linear function with a slope of -0.5 is parallel to the line 2x + 4y =16.

A linear function is modeled by:

y = mx + b

In which:

In slope-intercept format, the linear equation given is:

4y = 16 - 2x

y = -0.5x + 4.

When two lines are parallel, they have the same slope, hence a linear function with a slope of -0.5 is parallel to the line 2x + 4y =16.

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Answer:

Step-by-step explanation:

it is 20493

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

Answer:259

Step-by-step explanation:

3+256=269

Answer: 259

Step-by-step explanation: 3 + 256 = 259

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

Explanation:

25% = 25/100 = 0.25

25% of 84 = 0.25*84 = 21

So 21 cm has been cut off, leaving 84-21 = 63 cm left over

Or you could say that if 25% has been cut off, then 75% of the stick remains

So, 75% of 84 = 0.75*84 = 63 cm remains.

The remaining length of 63 cm is cut into 6 equal pieces

Each smaller piece is 63/6 = 10.5 cm long

Answer:

-30 feet

Step-by-step explanation:

What we know:

The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.

After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.

210 - 240 = -|240-210| = -|30| = -30 feet

After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.

-30 + 80 = |80 - 30| = |50| = 50 feet

Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.

50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop

The number of hours required for the water in harbor to reach a depth of 28 feet the second time is 10 hours

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as A

Now , the value of A is

y = 7 cos ( πx / 6 ) + 25

And , the required depth of water the second time is = 28 feet

Substituting the value of y as 28 feet in the equation , we get

28 = 7 cos ( πx / 6 ) + 25

On simplifying the equation , we get

Subtracting 25 on both sides of the equation , we get

7 cos ( πx / 6 ) = 3

Divide by 7 on both sides of the equation , we get

cos ( πx / 6 ) = 3/7

On simplifying using inverse trigonometric relations , we get

\(\frac{\pi x}{6}=\arccos \left(\frac{3}{7}\right)+2\pi n,\:\frac{\pi x}{6}=2\pi -\arccos \left(\frac{3}{7}\right)+2\pi n\)

\(x=\frac{6\arccos \left(\frac{3}{7}\right)}{\pi }+12n,\:x=12-\frac{6\arccos \left(\frac{3}{7}\right)}{\pi }+12n\)

So , the value of x is

x=2.15410221 + 12n,  9.84589778 + 12n

Therefore , the number of hours for depth of the water to be 28 feet at second time is 9.845 hours

9.845 hours ≈ 10 hours

Hence , The number of hours required for the water in harbor to reach a depth of 28 feet the second time is 10 hours

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Answer: 1.9

Step-by-step explanation: edge

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

\(\bf{\displaystyle\frac{6}{16}}\)

Divide the numerator (6) and denominator (16) by 2:

\(\bold{\displaystyle\frac{3}{8}}\)

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

\(\frac{3}{8}\)

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is \(\frac{6}{16}\).

It a even number thus, we can simplify:

\(\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3\)

\(=\frac{2\cdot \:3}{16}\)

\(\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8\)

\(=\frac{2\cdot \:3}{2\cdot \:8}\)

\(\mathrm{Cancel\:the\:common\:factor:}\:2\)

\(=\frac{3}{8}\)

Therefore, the simplify fraction of the brownies that had nuts is \(\frac{3}{8}\)

`~lenvy~`

The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.

To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.

Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30

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PLEASE GIVE BRAINLIEST <33

Answer:

The answer is 30

Step-by-step explanation:

First we'll start with PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

We'll start with multiplication: 1x0=0

Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1

Since we have two sets of 11, it would equal 22

Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

We have eight sets of 1. Adding them all together would equal 8.

Now the equation is: 22 + 8 which would equal 30

Answer:

3 minutes per table

Step-by-step explanation:

15 minutes = 5 tables

to get how much it will be per table, divided both sides by 5

since 5 / x = 1 and x would be 5

15 / 5 minutes = 5 / 5 tables

3 minutes = 1 table

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

Answer:

−4x−6

Step-by-step explanation:

Distribute the Negative Sign:

=2(x+2)−x+3(−x−2)+−1(2x+4)

=2(x+2)+−x+3(−x−2)+−1(2x)+(−1)(4)

=2(x+2)+−x+3(−x−2)+−2x+−4

Distribute:

=(2)(x)+(2)(2)+−x+(3)(−x)+(3)(−2)+−2x+−4

=2x+4+−x+−3x+−6+−2x+−4

Combine Like Terms:

=2x+4+−x+−3x+−6+−2x+−4

=(2x+−x+−3x+−2x)+(4+−6+−4)

=−4x+−6

Answer:

-4x - 6

Step-by-step explanation:

2(x+2)−x+3(−x−2)−(2x+4)

Distribute the Negative Sign:

=2(x+2)−x+3(−x−2)+−1(2x+4)

=2(x+2)+−x+3(−x−2)+−1(2x)+(−1)(4)

=2(x+2)+−x+3(−x−2)+−2x+−4

Distribute:

=(2)(x)+(2)(2)+−x+(3)(−x)+(3)(−2)+−2x+−4

=2x+4+−x+−3x+−6+−2x+−4

Combine Like Terms:

=2x+4+−x+−3x+−6+−2x+−4

=(2x+−x+−3x+−2x)+(4+−6+−4)

=−4x+−6

The whole Dipper is visible at this time on this date.b. To see it, you should face N (North).

c. To see it, you would look directly at the circled Polaris. You would need to look up, about 41.3 degrees above the horizon.

7. How the Big Dipper’s position changes as you change the time from 9 PM to 12 midnight:

a. Yes, it was still visible during all of this time.

b. It appears to move around Polaris in a counterclockwise direction.

8. Other constellations that are visible on the current date at 10 PM are Ursa Minor, Cassiopeia, Draco, Hercules, and Boötes.9. a. Orion and Taurus constellations are missing now.

b. The Sagittarius and Scorpius constellations have appeared that were not visible on the current date. c. The visible constellations have changed because the Earth's orbit has moved around the Sun by 6 months.

10. Ursa Major, Cassiopeia, Cepheus, Draco, and Cynus appear to be visible all year. They are always up at night because they are located near the North Pole and are circumpolar constellations.11. Report about Orion constellation:a. A graphic with the constellation outlined.  

b. The names of one or two of the most prominent stars in the constellation: Betelgeuse, Rigel.

c. A brief overview of the story or mythology of the constellation’s name: In Greek mythology, Orion was a hunter who was killed by a scorpion. Zeus placed him in the sky as a constellation to honor his bravery.

d. To locate the Orion constellation in your night sky, you would need to face SSW (South-Southwest).e. My experience trying to locate the Orion constellation in the sky using the star wheel is quite challenging at first, but once I figured out which direction to face and how high above the horizon to look, it became easier.

The problems I experienced are light pollution and cloudiness, but I was surprised by how bright and distinct the stars in Orion are.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

C. The cost of  show tickets is $30

Step-by-step explanation

Answer:

x-12

Step-by-step explanation:

hope this helps :D

Answer:

Its B

Step-by-step explanation:

n represents the number, as you can see it's being added by 6

therefore, it's B!!!

Hope It Helps!!!!!!!

Therefore, the graph of function f(x)= log x lies in quadrants I and II.

Functions can have many different forms and types, depending on the nature of the rule that defines them. Some common types of functions include linear functions, quadratic functions, exponential functions, trigonometric functions, and many others. Functions are used in many areas of mathematics and science, such as calculus, differential equations, statistics, physics, and engineering, to model and analyze the behavior of systems and phenomena. They are also used in computer programming and data analysis to perform operations and computations on data sets.

Here,

The graph of the logarithmic function f(x) = log x is defined for positive values of x only. When x is positive, the value of log x is a positive number. Therefore, the graph of f(x) lies in quadrants I and II.

In quadrant I, both the x and y coordinates are positive. In quadrant II, the x coordinates are negative, but the y coordinates are positive. Since the logarithm of a negative number is undefined, the graph of f(x) does not extend into quadrants III or IV.

Therefore, the correct answers are:

OD. Quadrant I

OC. Quadrant II

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Step-by-step explanation:

Step 1: Setting Up the Factors

Our roots are 3, 2, and -4 so

our factors are

\((x - 3)(x - 2)(x + 4)\)

Step 2: Initial Test to see if the result equal 30

Let a be a constant, such we have

\(a(x - 3)(x - 2)(x + 4) = 30\)

Plug in. 1 for x.

\(a(1 - 3)(1 - 2)(1 + 4) = 30\)

\(a( - 2)( - 1)(5) = 30\)

\(a(10) = 30\)

\(a = 3\)

So our equation is

\(3(x - 3)(x - 2)(x + 4)\)

Or if you want it simplifed

\(3( {x}^{2} - 5x + 6)(x + 4) = 3( {x}^{3} + - {x}^{2} - 14x + 24) = 3 {x}^{3} - 3 {x}^{2} - 42x + 72\)

Answer:

\(f(x)=3(x-3)(x-2)(x+4)\)

Step-by-step explanation:

General form of a cubic polynomial function with 3 roots:

\(f(x)=a(x-b)(x-c)(x-d)\)

where:

Given roots:

Substitute the given roots into the general form of the function:

\(\implies f(x)=a(x-3)(x-2)(x-(-4))\)

\(\implies f(x)=a(x-3)(x-2)(x+4)\)

To find the value of a, substitute the given point (1, 30) into the equation:

\(\begin{aligned} f(1) & = 30\\\implies a(1-3)(1-2)(1+4) & =30\\a(-2)(-1)(5) & = 30 \\10a & = 30\\\implies a & = 3 \end{aligned}\)

Therefore, the equation of the cubic polynomial function is:

\(f(x)=3(x-3)(x-2)(x+4)\)

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Answer:

13

Step-by-step explanation:

Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!

Answer:

The answer is 13.

Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.

For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!

Hope this helps!

Answer:

Yes they jave proportional corresponding sides