Graph the following set of points: A B C (1,3), (-3, -3), (5,2). Find the area and perimeter of ∆ABC . Leave answer in two decimal places.

Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

The simplest form of the expression can be shown as;

(y - 4) (y + 1)/(y + 4) (y - 3)

Simplifying algebraic expressions involves reducing or combining like terms, applying the distributive property, and performing operations such as addition, subtraction, multiplication, and division.

Step 1;

We know that we can write the expression as shown in the form;

(y - 1) (y + 2)/ (y + 3) ( y + 4) ÷ (y + 2) (y - 5)/(y + 3) ( y - 4) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 2;

(y - 1) (y + 2)/ (y + 3) ( y + 4) * (y + 3) ( y - 4)/(y + 2) (y - 5) * (y + 1) (y - 5)/ (y -1) (y - 3)

Step 3;

The simplest form then becomes;

(y - 4) (y + 1)/(y + 4) (y - 3)

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Answer:

33

Step-by-step explanation:

Pamela-x

Jiri-x+14

x+x+14=52

2x=52-14

2x=38

x=19-Pamela

19+14=33-Jiri

check: 19+33=52

Answer: Jiri is 33 years old, and Pam is 19.

Step-by-step explanation:

Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)

You can model the situation by two equations:

y=x-14

x+y=52

Substitute y into second equation

x+x-14=52

2x=66

x=33

Jiri is 33

and back to the first equation

y=33-14=19, Pamela's age.

Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

The variance over an interval for a uniform distribution is

V(X) = ( b - a )²/ 12

Here,

a and b are intervals .

By the definition of the variance, V(X) = E[X2] − (EX)2.

On solving ,

V(X)

=(a²+ab+b²)/3−(a²+2ab+b²)/4

=(a²−2ab+b²)/12

=( b - a )²/ 12

A continuous probability distribution is a Uniform distribution and is related to the events which are equally likely to occur. It is defined by two parameters, x and y, where x = minimum value and y = maximum value. It is generally denoted by u(x, y).

A two-parameter family of curves known as the uniform distribution (sometimes known as the rectangle distribution) is famous for having a constant probability distribution function (pdf) between its two bounding parameters.

For values tabulated to a specific number of decimal places, this distribution is suitable for illustrating the distribution of round-off mistakes. Techniques for generating random numbers , like the inversion method, use the uniform distribution.

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The expected number of new claims filed per week at this unemployment office is 12.

To find the expected number of new claims filed per week at the unemployment office, we need to multiply the expected number of new claims filed per day by the number of days the office is open in a week.

The expected number of new claims filed per day is given as 2.4. Since the office is open five days per week, we can multiply 2.4 by 5 to find the expected number of new claims filed per week:

Expected number of new claims filed per week = 2.4 * 5 = 12

Therefore, the expected number of new claims filed per week at this unemployment office is 12.

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Answer:

Jeremy ran about 1.2 miles and jimmy ran 2 miles so jimmy ran more miles

Explanation:

If Jeremy ran 10 laps on a 1/8 mile long track, he ran about 1.25 miles in total

(10*1/8)

If Jimmy ran 8 laps on a 1/4 mile long track, he ran 2 miles in total.

(8*1/4)

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

Answer:

3:7

Step-by-step explanation:

b is the same in both so it would just be 3:6:7 without b which is 3:7

Answer:

a:b=3:4 or a/b= 3/4…………..(1)

b:c=6:7 or b/c=6/7……………..(2)

Multiply eq.(1) and eq.(2)

(a/b) ×( b / c) =( 3 /4) × (6 / 7)

a/c= 9 / 14

a : c = 9 :14 answer.

Step-by-step explanation:

The value of 2 divided by 3 is 0.67

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

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

Step-by-step explanation:

a.) ✓-4

✓-1 × ✓4

i×2

2i. Final answer

b.) ✓-12

✓-1 ×✓12

2✓3i

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 6, - 3)

m = \(\frac{-3-5}{-6+2}\) = \(\frac{-8}{-4}\) = 2

The answer for the system is, (2, 5)

y= 5, x= 2

Using it's concept, it is found that the experimental probability that the next hat requested from Rebecca's inventory will be a turban is of \(\frac{3}{7}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem, out of 14 items, 6 were turbans, hence:

\(p = \frac{6}{14} = \frac{3}{7}\)

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Answer:

3/7 dont listen to the other one.

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 1 to both sides of the equation:

4x - 1 (+1) < 11 (+1)

4x < 11 + 1

4x < 12

Next, divide 4 from both sides of the equation:

(4x)/4 < (12)/4

x < 12/4

x < 3

x < 3 is your answer.

`

Answer:

Step-by-step explanation:

so your weights about 500 pounds thats pretty big. take her to a doctor .

heres a doctor i know

The solution of the pairs of lines are as follows,
(1) Line 1 and line 2 are perpendicular to each other.
(2) Line 1 and line 3 are parallel to each other.
(3) Line 2 and line 3 are perpendicular to each other.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of each line,

LIne 1
3y = 2x + 5
y = 2/3x + 5/3
Compared with the standard equation of line y = mx + c,

Slope m = 2/3
Similarly.
The slope of line 2 = -3/2
The slope of line 3 = 2/3

Now. properties of pair of lines state that the slope of parallel lines is equal and the slope of perpendicular lines are negative reciprocal of each other,
So
Slope of line 1 = slope of line 3
But,
The slope of line 2 is the negative reciprocal of the slope of lines 1 and 3.

Thus, the solution of the pair of lines has been shown above.

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Answer:

I think it's the 2nd one B but im not completely sure

Step-by-step explanation:

Answer: Inconsistent

Step-by-step explanation:

y = 3x + 4   → m = 3, b = 4

y = 3x + 3   → m = 3, b = 3

These equations have the same slope but different y-intercepts so they are parallel lines which means they will never intersect.

NOTES

one solution: consistent & independent        lines cross

infinite solutions: consistent & dependent     same line

no solution: inconsistent                                  parallel lines

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

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Answer: 3 and 7

Step-by-step explanation: beucase the color

Answer:

33.33%

Step-by-step explanation:

Calculate percentage change from

V1 = 9 to V2 = 12

(V2-V1)|V1|×100

=(12−9)|9|×100

=3/9×100

=0.333333×100

=33.33%

A larger error variance making it difficult to estimate the partial effect of any of the independent variables on the dependent variable is True.

This is used to measure how far a data is spread out and the effect independent variables has on the dependent ones.

When there is an error in the variance, the effect calculated is inaccurate which brings about difficulty in ascertaining it.

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Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

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We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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The area of the hexagonal head using each persons (Andre & Lin) method is;

Total Area using Lin's method = 93.6 ft²

Total Area using Andre's method = 93.6 ft²

From the image, a side of the hexagon is 6 inches. This means that all sides of each triangle will be also 6 inches.

Formula for area of a triangle = ¹/₂(base x height)

We see a perpendicular distance spanning from one end of the hexagon to the other end passing through the centre of the hexagon. It passes 2 triangles.

Thus, the height of one triangle = 10.4/2 ft = 5.2 ft

Area of one triangle =  ¹/₂ × 6 × 5.2 = 15.6 ft²

Thus, Area of hexagon = area of 6 triangles = 6 × 15.6 = 93.6 ft²

Let us first find the area of the rectangle;

Area of rectangle = length × width

Area of rectangle = 10.4 × 6 = 62.4 ft²

For the rectangle, we know three sides now which are;

10.4 ft, 6 ft, 6 ft but we don't know the height and as such we will use heron's formula to get the area of one triangle;

A = √s((s - a)(s - b)(s - c))

where; a,b and c are the 3 sides of the triangle

s = (a + b + c)/2

Thus; s = (10.4 + 6 + 6)/2 = 11.2 ft

Thus;

A = √11.2((11.2 - 10.4)(11.2 - 6)(11.2 - 6))

A = 15.6 ft²

There are 2 triangles and so Area of 2 triangles =2 × 15.6 = 31.2 ft²

Thus;

Total Area = 62.4 ft² + 31.2 ft²

Total Area = 93.6 ft²

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Answer:

328r=332

Step-by-step explanation:

Answer:

r × 328 = 332

Step-by-step explanation:

first, we can write the statement

r times 328 is 332

now, we can replace the word times with a multiplication sign

r × 328 is 332

lastly, we can replace the word is with an equal sign

r × 328 = 332

Hope this Helps!!! :)

Let me know in the comments if it was perfect or if I should change anything!