Find the equation of the line that is parallel toy=32x−5
y
=
3
2
x
−
5
and passes through the point (2,4).

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

Learn more about scale factors at:

https://brainly.com/question/25722260

#SPJ9

Step-by-step explanation:

The first choice is a quartic trinomial

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

If a || b || c, then a || c using Euclid's axiom.

Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees). Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation.

Here,

given,

a || b || c

Euclid's axiom states that “Things which are equal to the same thing are equal to one another.” Here, A and C are things which are equal to B, so A=C.

so using this,

a || c

If a || b || c, then using Euclid's axiom, a || c.

To know more about parallel lines,

https://brainly.com/question/28766787

#SPJ1

Answer:

Y=-2X + 4

Step-by-step explanation:

Follow the rise of run and to get  the  B= 4 you must answer this problem

Y+2=-2(X-3)

$507.50

1) Gathering the data

$8.75 per hour

1.5 x hourly wage extra hour

52 hours

2)

52-40 = 12 extra hours and 40 hours

40 hours > 40 x 8.75 = $350

12 hours over >>> 12 x 1.5 x 8.75 = 157.50

Adding those hours up: 350+157.50 = $507.50

Sheena receives change of $7.55 after paying $20 bill.

Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.

Therefore,

Sheena buys three items, one sandwich and two pretzels.

Given the rate of sandwich = $6.95

Rate of pretzels = $2.75 each

So rate of two pretzels = $2.75 x 2 = $5.5

Total amount paid = $20

To find the change she receives ,

Total payment paid - total amount of items

Total amount for items = $6.95 + $5.5

                                     = $12.45

Change receives = $20 - $12.45

                            = $7.55

Therefore the change Sheena receives is : $7.55.

To learn more about bar diagram, refer to :

brainly.com/question/25196929

#SPJ1

Answer:

Plzzzz answer fast......

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

2.25

Step-by-step explanation:

The computation of the number c that satisfied is shown below:

Given that

\(f(x) = \sqrt{x}\)

Interval = (0,9)

According to the Rolle's mean value theorem,

If f(x) is continuous in {a,b) and it is distinct also

And, f(a) ≠ f(b) so its existance should be at least one value

i.e

\(f^i(c) = \frac{f(b) - f(a)}{b -a }\)

After this,

\(f(x) = \sqrt{x} \\\\ f^i(x) = \frac{1}{2}x ^{\frac{1}{2} - 1} \\\\ = \frac{1}{2}x ^{\frac{-1}{2}\)

\(f^i(x) = \frac{1}{{2}\sqrt{x} } = f^i(c) = \frac{1}{{2}\sqrt{c} } \\\\\a = 0, f (a) = f(o) = \sqrt{0} = 0 \\\\\ b = 9 , f (b) = f(a) = \sqrt{9} = 3\\\)

After this,

Put the values of a and b to the above equation

\(f^i(c) = \frac{f(b) - f(a)}{b - a} \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}\)

= 2.25

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

Answer: The answer is 3

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

3

Step-by-step explanation:

6(5)-10(3)+3(1)

6*5=30

10*3=30

3*1=3

30-30+3=3

Answer:

Column B

Step-by-step explanation:

Notice that all the multiples of 4 lies in column C.

Let's find the greatest multiple of 4 that occurs before 483.

483 ÷4= 120R3

This means that 120 is the quotient when we divide 483 by 4, and we have a remainder of 3.

Greatest multiple of 4 that occurs before 483

= 4(120)

= 480

480 lies in column C. Thus, counting three more columns to the right then down, 483 lies in column B. Please see the attached picture for the working.

_____

Alternatively,

483 ÷4= 120.75 ≈121 (rounding off to the nearest whole number)

121(4)= 484

484 is the closest multiple of 4 to 483, and it lies in column C. Since 483 is one number before 484, it lies to the left of 484. One column to the right of C is column B. Thus, 483 lies in column B.

Answer:

-8 i think

Step-by-step explanation:

The next number in the series is 25.

Number is a fundamental concept in mathematics, used to represent a quantity. It can be represented in many forms, such as an integer, a fraction, a decimal, and a ratio. Numbers are used to measure and quantify almost every physical phenomenon in the world. They form the basis of scientific principles, such as Newton's law of gravitation, and are used in everyday life for activities such as counting and calculating. Number is also an important concept in other disciplines, such as philosophy, psychology, and sociology.

This series follows a pattern of adding the previous two numbers together. Therefore, the next number in the series is the sum of 25 and -7, which is 32. This pattern can be continued indefinitely, with the next number in the series being 39 (32 + 7) and so on.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

Answer:

After 15 years, the amount in the account will be $21.611.32, assuming the interest is compounded annually.

Step-by-step explanation:

To calculate the amount after 15 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time (in years).

In this case, P = $12,000, r = 0.04 (4% expressed as a decimal), n = 1 (compounded annually), and t = 15 years.

Plugging in the values, we get:

A = $12,000(1 + 0.04/1)^(1*15)

A = $12,000(1.04)^15

A = $12,000(1.801)

A = $21,611.32

Therefore, after 15 years, the amount in the account will be $21.611.32, assuming the interest is compounded annually.

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:

Step-by-step explanation:

If two triangles have two congruent sides and a congruent non included angle, then triangles are not necessarilly congruent.

Answer:shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip

Step-by-step explanation:

Answer:

-589°

Step-by-step explanation:

To find the measures of two angles that are coterminal with -229°, we can add or subtract multiples of 360° until we find angles that are equivalent.

First, let's find a positive coterminal angle:

-229° + 360° = 131°

So, 131° is a positive angle that is coterminal with -229°.

Now, let's find a negative coterminal angle:

To find the measures of two angles that are coterminal with -229°, we can add or subtract multiples of 360° until we find angles that are equivalent.

First, let's find a positive coterminal angle:

-229° + 360° = 131°

So, 131° is a positive angle that is coterminal with -229°.

Now, let's find a negative coterminal angle:

-229° - 360° = -589°

Answer: -589°

Step-by-step explanation:

Answer:

y=3/2x-4x

Step-by-step explanation:

you start with the y intercept, which is negative 4. you then do rise over run. for rise you move up 3. for run you move over 2.you then do the slope intercept formula and you fill it in with y equals three over 2 x plus negative four

Answer:

\(y=-\frac{3}{2} x-4\)

Step-by-step explanation:

slope = \(\frac{-4-(-1)}{2-0} =\frac{-4+1}{2} =-\frac{3}{2} \\\)

"y" interception: -4

equation: \(y=-\frac{3}{2} x-4\)

I hope this help you

Answer:

Step-by-step explanation:

Perimeter is twice the sum of the length and width

P=2(L+W), in this case

P=2(4x+6+3x+4)

P=2(7x+10)

P=14x+20