Answer in Slope form

Answer:

  y > -x -3

Step-by-step explanation:

The graph is shaded above the dashed line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...

  y >

The y-intercept of the line is (0, -3), so the "b" value in ...

  y > mx +b

will be -3.

The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...

  m = rise/run = -3/3 = -1

Then the inequality you want is ...

  y > -x -3

The length of the side DE, obtained using the law of cosines is about 20.4 cm

The law of cosines states that the square of the length of a side, a, of a triangle is equivalent to the sum of the squares of the lengths of the other two sides, b, c, and less the product of the other two sides and the cosine of the angle facing side, angle A. Mathematically; a² = b² + c² - 2·b·c·cos(A)

According to the law of sines, we get;

(sin(64))/31 = (sin(B))/24

sin(B) = 24 × (sin(64))/31

∠B = arcsin(24 × (sin(64))/31) ≈ 45.42°

∠C = 180° - 64° - 45.42° = 70.58°

∠C = 70.58°

The law of cosines indicates that we get;

(DE)² = 16² + 19² - 2 × 16 × 19 × cos(70.58°) ≈ 414.85

DE = √(16² + 19² - 2 × 16 × 19 × cos(70.58°)) ≈ 20.4

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Answer:

60 Km / hour

Step-by-step explanation:

average speed (S) is calculated as

S = \(\frac{D}{T}\) ( D is distance and T time in hours )

here D = 180 and T = 3 , then

S = \(\frac{180}{3}\) = 60 Km / hour

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

4

Step-by-step explanation:

We want to find the greatest common factor between 56 and 12.

Factors of 12: {1,2,3,4,6,12}

Factors of 56: {1, 2, 4, 7, 8, 14, 28, 56}

Common: Is factor of both numbers

So the greatest common factor of 12 and 56 is 4.

Answer:

36

Step-by-step explanation:

Answer:

the anwser is 36 bec i had the same math problem

Step-by-step explanation:

hope this helps

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Step-by-step explanation:

_6,_3 I hope this help it like it should (_6,2) (_1,0)

The number which represents the situation of a withdrawal of $36 is -$36.

In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.

In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.

To represent a withdrawal of $36, we will use the negative sign.

Hence, -$36 is the correct representation of the situation of a withdrawal of $36.

Therefore, -$36 is the required answer.

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Answer:

∠CDE = 76

Explanation:

1) Find ∠CED

- 180 - 116 = 64

2) Find y

- 4y + 7y + 6 + 64 = 180

- 11y + 70 = 180

- 11y = 110

- y = 10

3) Substitute 10 for y

- 7y + 6

- 7(10) + 6

- 70 + 6

= 76

Answer:

450 miles

Step-by-step explanation:

First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.

From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.

Step-by-step explanation:

\( \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles\)

Answer:

x=31

Step-by-step explanation:

10x -40 -15-8x=7

2x - 40 -15 =7

2x -55 =7

2x-55+55 = 7 + 55

2x=62

2x/2=62/2

x=31

Step-by-step explanation:

10x-40-15+8x=7

2x-55=7

2x=7+55

2x=62

X=31

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

-4.57142857143 rounded to -4.57 or -4.6

Step-by-step explanation:

calculator

We can be 90% confident that the interval [76.4, 79.3] contains the true mean monthly percentage of on-time departures. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.

To find the 90% confidence interval, we first need to calculate the margin of error. To calculate this, we need to use the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. The standard deviation for the given data is 2.2 and the sample size is 72 (6 years × 12 months). So, the standard error is calculated as 2.2/√72 = 0.44. The margin of error is then calculated by multiplying the standard error by the critical value for 90% confidence, which is 1.645. The margin of error is therefore 0.44 × 1.645 = 0.72. The confidence interval is then calculated by adding and subtracting the margin of error from the sample mean. The sample mean is 77.8, so the 90% confidence interval is 77.8 ± 0.72, or [76.4, 79.3]. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.

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Answer:

11.98

Step-by-step explanation:

The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)

The vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.

For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))

From the question, we have the following parameters that can be used in our computation:

(x - 1)^2 - 9 = 0

A quadratic equation is represented as

a(x - h)^2 + k = 0

Where the vertex is

Vertex = (h, k)

Using the above as a guide, we have the following:

Vertex = (h, k) = (1, 9)

Hence, the vertex is (1, 9)

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Complete question

How do I find the vertex of the equation

(x - 1)^2 - 9 = 0

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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To write the height of Debbie as a fraction of the height of Leo in its simplest form is this: 17/18.

Writing one figure as a fraction of another can be done by representing the figures as numerators and denominators. In this case, what we will have is 85/90. That is the height of Debbie divided by the height of Leo.

To express this fraction in its simplest form will mean dividing the figures until they can no longer be divided. Using 5 as a common factor for dividing, we can conclude that the simplest form of the answer is 17/18.

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The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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x= 113°

hope that helps^^

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

Answer:

See image below for answer:)

Step-by-step explanation:

You can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps.

The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.

To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.

The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.

To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:

Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400

Then we add the number of people who migrated:

Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants

= 1,20,000 + 5,400 + 20,000

= 1,45,400 + 20,000

= 1,65,400

To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.

The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:

Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444

Total population in 2080 = 1,65,400 + 7,444

= 1,72,844

To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:

Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779

Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081

= 1,72,844 + 7,779

= 1,80,623

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Answer:

They each had 1/20 of the original meal

Step-by-step explanation:

To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.

0.2 / 4 = 0.05.

Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.

0.05 = 1/20

They each had 1/20 of the original meal

Answer:

31/1488 --> 1/48

Step-by-step explanation:

1. let 31/1488=x^-1

2. 31*x^-1=1488

3. 31*48=1488