Y intercept = -1 and goes through the point (3,8)

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is \(y=\frac{1}{2} x+1\)

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

Because 39 is significantly closer to 36 than it is 49, the approximation of the square root of 39 to the nearest whole number would be 6

Step-by-step explanation:

(a) The velocity when the particle reaches B is 8 m/s.

(b) The distance between point A and B is 5.33 m.

(c) The value of t when the particle reaches C is 1.63 seconds.

(d) The distance AC​ is 8.7 m.

The velocity when the particle reaches B is calculated as follows;

v = ∫a. dt

where;

v =  ∫(4t . dt)

v = 4t²/2

v = 2t²

v(2) = 2(2)²

v(2) = 8 m/s

Thus, the velocity when the particle reaches B is 8 m/s.

x = ∫v

where;

x = ∫2t². dx

x = ²/₃t³

x(2) = ²/₃(2)³

x(2) = 5.33 m

Thus, the distance between point A and B is 5.33 m.

when the particle reaches point C, final velocity, vf = 0

vf = v + at

where;

0 = 8 - 3t(t)

0 = 8 - 3t²

3t² = 8

t² = 8/3

t² = 2.67

t = √(2.67)

t = 1.63 seconds

x = ∫vf

x = ∫(8 - 3t²)

x = 8t  - t³

x(1.63) = 8(1.63) - (1.63)³

x(1.63) = 8.7 m

Learn more about velocity here: https://brainly.com/question/24681896

#SPJ1

Simplified form of fourth root of 2401x¹²y¹⁶  is  7x³y⁴

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given,

⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴

                       =⁴√(7)⁴ (x³)⁴(y⁴)⁴

                       =⁴√(7 x³y⁴)⁴

                       =  7 x³y⁴

Therefore, Simplified form  fourth root of 2401x¹²y¹⁶  is  7x³y⁴.

To learn more question related equation  click on the link below:

brainly.com/question/10413253

#SPJ1

The 95% confidence interval for the true mean number of licks to get to the center of a Tootsie Pop is approximately 318.24 to 393.96

Using the following formula:

Confidence Interval = Mean ± (Critical Value * Standard Error)

Calculating the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = Standard Deviation / √(Sample Size)

Given:

Mean (x bar) = 356.1

Standard Deviation (σ) = 185.7

Sample Size (n) = 92

Standard Error = 185.7 / √(92)

Standard Error ≈ 19.39 (rounded to two decimal places)

We need to determine the critical value based on the desired confidence level.

The critical value for a 95% confidence interval with a two-tailed test is approximately 1.96.

Confidence Interval = 356.1 ± (1.96 * 19.39)

Calculating the upper and lower bounds of the confidence interval:

Lower Bound = 356.1 - (1.96 * 19.39)

Lower Bound ≈ 318.24 (rounded to two decimal places)

Upper Bound = 356.1 + (1.96 * 19.39)

Upper Bound ≈ 393.96 (rounded to two decimal places)

Therefore, the 95% confidence interval for the true mean number of licks to get to the center of a Tootsie Pop is approximately 318.24 to 393.96 (rounded to two decimal places).

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ1

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ1

The total cost of owning the house in year 4 would be $580,215.82.

To calculate the total cost of owning the house in year 4, we need to consider several factors.

1. Mortgage Calculation:

The balance to be financed through a mortgage is $220,000 - $20,000 (down payment) = $200,000. Using an amortization schedule with an annual interest rate of 3.5% for 5 years, the annual mortgage payment can be calculated using the formula: P = (r * A) / (1 - (1 + r)^(-n)), where P is the annual mortgage payment, A is the loan amount, r is the interest rate, and n is the number of years.

P = (0.035 * $200,000) / (1 - (1 + 0.035)^(-5))

P ≈ $45,414.85 (rounded to the nearest cent)

2. Annual Expenses:

The annual maintenance cost is $1,500, property taxes are $500 (tax-deductible), and insurance is $1,200.

3. Opportunity Cost:

The opportunity cost is the required rate of return, which is 5% per year.

4. Capital Gains:

Since the house will be sold at the end of the 5th year, there will be no tax payable on capital gains.

Now, let's calculate the total cost of owning the house in year 4:

Year 1: Mortgage payment + Annual Expenses = $45,414.85 + $1,500 + $500 + $1,200 = $48,614.85

Year 2: Mortgage payment + Annual Expenses = $45,414.85 + $1,500 + $500 + $1,200 = $48,614.85

Year 3: Mortgage payment + Annual Expenses = $45,414.85 + $1,500 + $500 + $1,200 = $48,614.85

Year 4: Mortgage payment + Annual Expenses + Opportunity Cost = $45,414.85 + $1,500 + $500 + $1,200 + ($48,614.85 * 5%) = $53,045.59

Year 5: Mortgage payment + Annual Expenses + Opportunity Cost = $45,414.85 + $1,500 + $500 + $1,200 + ($48,614.85 * 5%) = $53,045.59

Therefore, the total cost of owning the house in year 4 is $53,045.59.

The total cost of owning the house in year 4, including mortgage payments, annual expenses, and opportunity cost, amounts to $580,215.82. This calculation takes into account the initial down payment, mortgage interest rate, annual maintenance costs, property taxes, insurance, and the opportunity cost of the invested funds. It is important to consider all these factors to make an informed decision about whether buying a house is more cost-effective compared to renting.

To know more about cost, visit

https://brainly.com/question/30495119

#SPJ11

Answer:

113.04 yd²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is:

2πrh+2πr² r = radius, h=height

The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.

2πrh+2πr²

2(3.14)(2)(7) + 2(3.14)(2)^2

= 113.04 yd²

Greetings from Brasil...

According to the statement of the question, we can write the following equation:

solving this equation to find X (the desired number)

- 2X - 2X = - 5 - 5

- 4X = - 10      · (- 1)

4X = 10

X = 10/4

or

Answer:

c

Step-by-step explanation:

Answer:

One-third y minus Start Fraction 7 over 5 End Fraction x + two-thirds minus two-thirds y minus Start Fraction 4 over 9 End Fraction

just to be clear its C i just wanted to look smart hope i helped :)

(a) The expression under the conditions sin(θ - Ф) is  (5√(91) - 36) / 130.

(b)The expression under the conditions sin(θ + Ф)  is 7√5/85.

8.To evaluate the expression sin(θ - Ф), we need to use the the trigonometric identities:

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

tan(θ) = 5/12 (in Quadrant III)

sin(Ф) = -3/10 (in Quadrant IV)

From the given information, we can determine the values of cos(theta) and cos(Ф) using the Pythagorean identity:

cos(θ) = 1 / √(1 + tan²(θ)) cos(Ф)

= √(1 - sin²(Ф))

Let's calculate these values:

cos(θ) = 1 / √(1 + (5/12)²)

= 12 / √(169)

= 12 / 13 cos(Ф)

= √(1 - (-3/10)²)

= √(1 - 9/100)

= √(91/100)

= √(91) / 10

Now we can substitute the values into the expression sin(θ - Ф):

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

= (sin(θ) × cos(Ф)) - (cos(θ) × sin(Ф))

= (5/13) × (√(91)/10) - (12/13) × (-3/10)

= (5√(91) - 36) / 130

Therefore, sin(θ - Ф) = (5√(91) - 36) / 130.

9.To evaluate the expression sin(θ + Ф), we can use the trigonometric identities:

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

sin(θ) = 8/17 (in Quadrant I)

cos(Ф) = -√5/5 (in Quadrant II)

We can determine the value of cos(θ) using the Pythagorean identity:

cos(θ) = √(1 - sin²(θ))

= √(1 - (8/17)²)

= √(1 - 64/289)

= √(225/289)

= 15/17

Now we can substitute the values into the expression sin(θ + Ф):

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

= (8/17) ×(-√5/5) + (15/17) × (√5/5)

= -8√5/85 + 15√5/85

= 7√5/85

Therefore, sin(θ + Ф) = 7√5/85.

To know more about expression click here :

https://brainly.com/question/24377281

#SPJ4

Answer:

Marquice sold 20 tickets and Tim sold 25 tickets

Step-by-step explanation:

Let us assume that Tim sold x number of tickets, Marquice sold 25% more x or 1.25x. ATQ, x+1.25x=45. x=20. So Marquice sold 20 tickets and Tim sold 25 tickets

Answer:

x=-12

Step-by-step explanation:

x=204/-17

shift .the negative sign

x= -204/17

x=-12

Answer:

11 and 3/4 in further.

Answer:

I think he has to jump 11 3/4 inches further

Step-by-step explanation:

pls mark me as brainliest!

Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

Answer:

The answer is below

Step-by-step explanation:

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people. Since there are 40 people in total to serve, the number of each ingredient needed is:

Number of each ingredient = total number of people / number of people served by one recipe

Number of each ingredient = 40 / 8 = 5

b) Since each recipe contains 1 1/2 lb (1.5 lbs) of ground beef, the total amount of ground beef needed to feed everyone is:

Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

c) Since one serving would require 8 oz of milk. To serve everyone, the amount of milk needed is:

Amount of milk = 40 people * 8 oz = 320 oz

128 oz = 1 gallon

Amount of milk = 320 oz * 1 gallon / 128 oz = 2.5 gallon

The quantity of the recipe needed for a given number of people is found

by a multiple of the recipe for 8 people.

Reasons:

The total number of people at the party = 40 people

The number of people the recipe serves = 8 people/recipe

First question:

The number Jenny should multiply the ingredient to make enough for everyone is \(\mathbf{\dfrac{40 \ people}{8 \, people \, per \, recipe}} = 5 \times Recipe\)

Therefore;

To make enough meat loaf for everyone, Jenny should multiply each ingredient by 5.

Second question:

The amount of ground beef required = \(1\frac{1}{2}\) lbs.

Amount of ground beef required for everyone = 5 × \(\mathbf{1\frac{1}{2}}\) lbs = 7.5 lbs.

Third question:

The volume of each glass of milk Jenny is serving = 8 oz.

The number of glasses of milk Jenny need = 40 glasses

The volume of the 40 glasses = 40 × 8 oz. = 320 oz.

Volume of one gallon (imperial) = 160 fluid ounce = 160 oz.

Therefore;

320 oz = 2 × 160 oz. = 2 × 1 gallon = 2 gallons

The number of gallons of milk Jenny needs to make sure everyone gets

one glass of milk is 2 gallons of milk.

Learn more here:

https://brainly.com/question/16154116

Answer:

-1=n I believe would be the answer.

Answer:

its parentheses, exponents, multiplication and division and addition and subtraction

Answer:

X = 5

Step-by-step explanation:

x in (-oo:+oo)

x/8 = 0.625 // - 0.625

x/8-0.625 = 0

1/8*x-0.625 = 0 // + 0.625

1/8*x = 0.625 // : 1/8

x = 0.625/1/8

x = 5

x = 5

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

x = 5

Step-by-step explanation:

First convert the decimal to an improper fraction

That's

So we have

Multiply through by 8

That's

We have the final answer as

Hope this helps you

The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

Learn more about phasor here:
https://brainly.com/question/22970717

#SPJ11

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

Learn more about the tangent arc theorem here:

https://brainly.com/question/29239907

#SPJ1

Answer:

32,000 or 32 thousand

Step-by-step explanation:

When looking at thousands, we must determine if the hundreds place has more than 5 which would be half of a thousand. So... if there would have been 32500, then the answer would have been 33,000 because there were 500.

Since there are only 450, we are going to have to round back to 32,000 since the number isn't large enough.

-kiniwih426

Answer:

x = 15

Step-by-step explanation:

I am not sure this is right though?

Answer:

x=5

Step-by-step explanation:

angle a & angle c are vertical angles so they r congruent (equal)

5x-5 = 2x+10

5x=2x+15

3x=15

x=5

Answer:

x = -2/3

Step-by-step explanation:

27^x=1/9

writing 27 as 3^3  and 1/9 as 3 ^-2

3^3^x = 3^-2

We know that a^b^c =a^(b*c)

3^(3x) = 3^-2

Since the bases are the same the exponents need to be the same

3x = -2

x = -2/3

Answer:

To sketch the given region on the Argand diagram, we need to find the intersection of the three conditions:

-3i < Im(z) < 3i (the imaginary part of z lies between -3 and 3 on the vertical axis)

1 < Re(z) ≤ 6 (the real part of z lies between 1 and 6 on the horizontal axis)

|z - 4| ≥ 1 (the distance between z and 4 is greater than or equal to 1, which means z is outside or on the boundary of the circle centered at 4 with radius 1)

The first two conditions define a rectangle in the complex plane with vertices at (1,-3i), (1,3i), (6,3i), and (6,-3i). The third condition excludes the inside of a circle centered at 4 with radius 1, which means the region we want is the rectangle with a circular hole in the middle.

To find the area of this region, we can subtract the area of the circle from the area of the rectangle. The area of the rectangle is:

A_rect = length x width = (6 - 1) x (3i - (-3i)) = 30i

The area of the circle is:

A_circle = πr^2 = π(1)^2 = π

Therefore, the area of the region is:

A_region = A_rect - A_circle = 30i - π

So the area of the region is 30i - π, written in terms of π.

Answer:

ncjkrnfkcrd

Step-by-step explanation:

nkxdnjnxjenk

Answer:

$40

Step-by-step explanation: