what is the equation of the line that passed through the point (4,-6) and has a slope of -5/2

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

I could tell 1st one the answer is xy=5

Answer:

A.

Step-by-step explanation:

Because If you are simplifying then -3 would become -1 and -5 would become -3 and -4 would become -2 so your basically just simplifying

Answer:

24

Step-by-step explanation:

18+12-6

Answer:

24

Step-by-step explanation:

6+4=10

10-2=8

3*8=24

Step-by-step explanation:

Mark is 18, as his 8th birthday was 10 years ago

Aunt Jess is 36 since Jess is twice as old as Mark
Julie is 28 because 36+18=54, and 54-26=28

Gwen is 30 since she's 2 years older than Julie

The twins are 8 (1/3 of 30 is 10, then do -2)

Answers:

1. 8

2. 10

3. Mark will be 23

4.  Gwen was twice Julie's age when she was 4 (26 years ago)

(Gwen is 2 years older than Julie)

I hope this helps, Brainliest and Thanks would be very much appreciated

Answer: 1. 8 years old

2. 10 years

3. 23 years old

4. 26 years ago

Step-by-step explanation:

G=Gwen's age.

J=Julie's age.

A=Aunt Jess's age

U=Uncle Mark's age

T=twins' ages

1. G=J+2

A=U*2

J=A+U-26

T=G/3 - 2

U-10=8

U+10-10=8+10 ==> Add 10 on both sides to single out U.

U=18

A=U*2

A=18*2

A=36

J=A+U-26

J=36+18-26

J=54-26

J=28

G=J+2

G=28+2

G=30

T=G/3 - 2

T=30/3 - 2

T=10-2

T=8 ==> 8 years old

2. 8+x=18

8-8+x=18-8

x=10 years

3. U=18

18+5=23 years old

4. G=J+2

G=J*2

J*2=J+2

2J=J+2

J=2 ==> subtract J on both sides

G=2+2

G=4

30-4=26 years ago

A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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Answer:

It earned $12,771 more in December.

Step-by-step explanation:

This question can be solved using a rule of three.

During an average month, we have that 100% = 1 is $47,300.

During December, the amount is $x, and it is 100% + 27% = 127% = 1.27. So

1 - $47,300

1.27 - $x

x = 1.27*47,300

x = 60,071

It earned $60,071 in December.

Compared to other months, it earned $60,071 - $47,300 = $12,771 more in December.

Answer: If y varies inversely with x, then we know that xy=k, where k is a constant.

Using the values given in the problem, we have:

6(5) = k

k = 30

So the equation relating x and y is xy = 30.

To find y when x=3, we can plug in x=3 and solve for y:

3y = 30

y = 10

Therefore, when x=3, y=10.

Step-by-step explanation:

Answer:

The price of one hotdog is $2.50

Step-by-step explanation:

You can first write this out as an equation to make it easier to solve.

Lets say that x= the price of a hot dog and y= the price of popcorn

The equation would be:

6x + y = 18.20

We know that y= 3.20 so we can subtract 3.20 from 18.20. That will leave us with 6x = 15

Then, we just have to divide both sides by 6 and our answer comes out as x = 2.50

Answer:

2.50

Step-by-step explanation:

18.20 - 3.20 = 15.00

15.00 ÷ 6(hotdogs) = 2.5

Add a 0 at the end: 2.50

So the cost of one hotdog is $2.50

( why does that hot dog cost that much ;-; )

Answer:

Angela should multiply the outside number by the numbers in the parenthesis.

Step-by-step explanation:

The rule of distributive property:

\(a(b+c)=ab+ac\)

You have to multiply the outside number by numbers in the parentheses.

Example:

\(3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}\)

Answer:

its muiltiply

Step-by-step explanation:

i promise

Answer: SAS

Step-by-step explanation:

Two sides and an included angle are proven to be congruent in the proof, indicating that SAS is used to show that the two triangles are congruent.

I hope this helps.

Answer:

It's B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

From the statement, we know that to win the lottery we must choose 5 numbers from the numbers 1 through 172.

a) Assuming that order is unimportant.

To win, we must pick correctly 5 numbers from 1,...,172.

0. For the first number, we have 5 possibilities from 172, so the probability is 5/172,

1. for the second number, we have 4 possibilities from 171, so the probability is 4/171,

2. for the third number, we have 3 possibilities from 170, so the probability is 3/170,

3. for the fourth number, we have 2 possibilities from 169, so the probability is 2/169,

4. for the fifth number, we have 1 possibility from 168, so the probability is 1/168,

To figure out the odds of winning, we multiply together all of the fractional odds of picking each number. Multiplying all the probabilities we get:

So the probability is 1 in 1183009464.

b) Assuming that the order matters.

To win, you have to pick the first number right AND the second number right AND the third number right, etc. In the language of statistics, AND usually means to multiply. So, to figure out the odds of winning, we multiply together all of the fractional odds of picking a given number correctly. The probability of selecting correctly:

• the first number is 1/172,

• the second number is 1/171,

• the third number is 1/170,

• the fourth number is 1/169,

• the fifth number is 1/168,

Multiplying all the probabilities we get:

So the probability is 1 in 141961135680.

Answer

1) The probability of winning the lottery by choosing 5 numbers from 1,...,172 if the order is unimportant, is 1 in 1183009464. or:

2) The probability of winning the lottery by choosing 5 numbers from 1,...,172 if the order matters, is 1 in 141961135680, or:

Step-by-step explanation:

the perpendicular line can be represented by bx-ay+k=0 ,So the second step Is Written

since the line passes through point (-4,1) ,the value of x and y is Substitute as written in answer

Answer:

y=-2x-7

Step-by-step explanation:

3x-6y=18 also equals 3x-18=6y

divide both sides by 3 to get x-6=2y or y=x/2-3 as same line then, to find inverse switch x and y, x=(y/2)=3 and solve for y, y-6=2x, -y=2x+6 is the inverse then to make it pass thru (-4,1) change b value, y=-2x-7

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

In conclusion, the Hawaii Volcanoes National Park is a unique and important site for scientific research and provides a glimpse into the past environment and ecosystem of the region.

Hawaii Volcanoes National Park covers an area of approximately 505 square miles (1,308 square km) and is located on the island of Hawaii.

This National Park is unique and is home to some of the most active volcanoes in the world. It is a UNESCO World Heritage Site.

Recently, fossilized footprints have been found within the Hawaii Volcanoes National Park. The Hawaii Volcanoes Wilderness is an area that covers the park.
A number line is a line that is drawn and labeled with numbers. The numbers on the line represent points on the line, and the space between each number is equal.
Drawing a number line for the 1-2 range:
To draw a number line for the 1-2 range, we first draw a horizontal line with a starting point at 1 and an ending point at 2. We then place a number at the starting point (1) and the ending point (2) and label them.
The discovery of fossilized footprints within the Hawaii Volcanoes National Park is a remarkable discovery as it could provide information about the past environment, ecosystem, and climate of the region.

Fossil footprints are an important source of information for paleontologists and help them to study the lives of ancient organisms. The National Park is a unique site and is home to two active volcanoes: Mauna Loa and Kilauea.

These two volcanoes have been erupting for thousands of years, and they have created a unique landscape. Visitors to the park can witness the awesome power of nature firsthand.

The park has been designed to allow visitors to enjoy the natural beauty of the region while preserving the unique ecosystem and biodiversity of the area.

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Consider \(z= x^2 + y^2/x\), where f is a differentiable function of one variable.

By calculating ∂^2z/∂x∂y, by means of the chain rule, it follows that: d²z /dxdy y = Axy + Bƒ ( \(x^2\)) + Cƒ′ ( \(x^2\) ) + Dƒ( \(x^2\) ) x

Using the chain rule, let X = x and Y = 1/x; then z = \(X^2\)2 + Yf, anddz/dX = 2X + Yf’;    dz/dY = f.

Then using the product rule,

d^2z/dXdY = (2 + Yf’)*f + Yf’*f  = (2+2Yf’)*f, since (1/x)’ = -1/x^2. Then d^2z/dXdY = (2+2Yf’)*f. Now substitute Y = 1/x and f = f(\(x^2\)), since f is a function of x^2 only.

d^2z/dXdY = (2 + 2/\(x^2\))*f(\(x^2\)) = 2f(\(x^2\)) + 2ƒ(\(x^2\))/\(x^2\) = 2f(\(x^2\)) + 2ƒ′(\(x^2\))\(x^2\) + 2ƒ(\(x^2\))/\(x^3\), after differentiating both sides with respect to x. Since z = \(x^2\) +\(y^2\)/x, then z’ = 2x – y/\(x^2\). But y/x = f(\(x^2\)), so z’ = 2x – f(\(x^2\))/\(x^2\). Differentiating again with respect to x, then z” = 2 + 2f’(\(x^2\))\(x^2\) – 4f(\(x^2\))/\(x^3\). We can now substitute this into the previous expression to get,

d^2z/dXdY = 2f(\(x^2\)) + z”ƒ(\(x^2\))/2 + 2ƒ′(\(x^2\))x, substituting A = 2, B = ƒ(\(x^2\)), C = ƒ′(\(x^2\)), and D = 2ƒ(\(x^2\))/\(x^3\). Therefore, d^2z/dXdY = Ayx + Bƒ(\(x^2\)) + Cƒ′(\(x^2\)) + Dƒ(\(x^2\))/x.

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\(\{2,3\}\) is a set containing two elements - numbers 2 and 3

\(\{\{2,3\}\}\) is a set containing one element - a set \(\{2,3\}\)

Answer:

30:56!

Step-by-step explanation:

since 30 boys is mentions first you can start it as that way

it helps me better and is way more efficient

Answer: Y= -47/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

a=-10

Step-by-step explanation:

y=2x+a ,at x=5

y=2(5)+a

y=10+a

where y=0

10+a=0

a= -10

Answer:

$43.30

Step-by-step explanation:

What we know,

3 hamburgers = $12.99

Coleman wants to know how much would he have to pay for 10 hamburgers,

In order to find out how much 10 hamburgers cost, you need to find out how much 1 hamburger costs,

To find how much 1 hamburger costs divide 12.99 by 3,

12.99/3

= 4.33

Now we know that 1 hamburger cost $4.33,

Now time to find out how much 10 hamburgers cost,

Multiply 4.33 by 10,

4.33 × 10

= 43.30

Therefore it cost $43.30 for 10 hamburgers.

The length of the curve y (x) = ₁∫ˣ √(t³ − 1) dt , 4 ≤ x ≤ 9, is 211/4.

In calculus, arc length of curve is the distance between two points along a portion of the curve. Finding the length of an irregular arc segment by approximating the arc segments as connected (straight) line segments is also known as the integral variation of the curve-corrected distance formula. Arc length formula is

ₐ∫ᵇ√[ 1 + (dy/dx)²] dx --(*)

Where, x is the arc length,

We have calculate the length of curve means the length of arc of curve.

Now, y = y (x) = ₁∫ˣ √(t³ − 1) dt

differentiate both sides with respect to x

=> dy/dx= d/dx( ₁∫ˣ√(t³ − 1 ) dt)

Using the fundamental theorem of calculus,

=> dy/dx = dy/dt × dt/dx

let t = x => dt/dx = 1

dy/dt = √x³ - 1 ( from leibnitz rule )

dy/dx = √x³ - 1

Required length of curve = ₄∫⁹√[ 1 + (√x³ - 1)²] dx

= ₄∫⁹√[ 1 + x³ - 1] dx

= ₄∫⁹√x³ dx

\( = ₄∫⁹{x}^{ \frac{3}{2} } dx\)

\( = \frac{2}{5} ( {9}^{ \frac{5}{2} } - {4}^{ \frac{5}{2} } )\)

\(= 211/4\)

So, the required length is 211/4.

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Complete question:

Find out length of the curve

y (x) = ₁∫ˣ √(t³ − 1) dt , 4 ≤ x ≤ 9.

Answer:

the number of days

Step-by-step explanation:

Saturday :  x books

Sunday: x+3

Saturday + Sunday = x+x+3

Combine like terms

2x+3

The 2 is the number of days

Answer:

The number of day

Step-by-step explanation:

Saturday: x books

Sunday :x +3

Saturday + Sunday = x+x+3

Combine like terms

2x+3

The two is the number of day. ✌️

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

Answer:

I want to say A)

Step-by-step explanation:

For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Henry's balloon is 48 miles after 2 hours.

Tasha's balloon after 2 hours will be:

= 8x + 20

= 8(2) + 20

= 32 miles

In this case, Henry's balloon is farther.

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x= -16

substitute y=0

0=1/2x+8

multiply both sides

=0=x+16

move the variable to the left

-x = 16

change the signs

final ; x = -16