I"LL GIVE BRAINLEST! You are skiing down a 1,350-meter ski slope at 60 meters per second. Let t represent your skiing time in seconds and d t( ) represent the distance from the bottom of the ski slope. Write an algebraic function rule that can be used to model the scenario. Then explain what the slope and the vertical intercept mean in the context of the problem

The amount of money left with Alizay after shopping is Rs 17700 .

Alizay sold shirts for Rs. 2800.

She sold 14 shirts.

Cost earned from selling 14 shirts = 14 × 2800 = Rs. 39200

Spent on shopping =Rs. 14000

Spent on Grocery = Rs. 7500

Total amount spent = Rs.(14000+7500) = Rs. 21500

Amount of money left = Rs 39200 - Rs 21500 = Rs 17700

Therefore she is left with Rs 17700 .

In the case of a single variable, there is only one viable response. This particular case, in which the variable is accurately referred to as the "unknown," is one to which the term linear equation sometimes relates implicitly.

The Cartesian coordinates of a point on the Euclidean plane can be used to understand each solution in the scenario with two variables. A linear equation's solutions define a line in the Euclidean plane, and each line is the collection of all solutions to a linear equation with two variables.

To learn more about Euclidean visit:

https://brainly.com/question/13104788

#SPJ9

The balloon is  above 17.7180 the ground

What is the trigonometry ?

A branch of mathematics called trigonometry looks at how triangle side lengths and angles relate to one another. Applications of geometry to astronomical studies led to the development of the field in the Hellenistic world during the third century BC.

Given

The angle Ф  is 32°

The hypotenuse becomes 24 feet

Let AB be the opposite side

Using trigonometric function of sinФ

ie sinФ = Opposite / hypotenuse

  sin Ф = AB / 24

   AB = sin Ф * 24

  AB =  sin 32° * 24

   AB = 12.7180

As that person is 5 feet tall we have to add 5 to the value

ie

12.7180 + 5

= 17.7180

To learn more about trigonometry from the given link  

https://brainly.com/question/24349828

#SPJ1

In the given expression 7^(9/4) the values are found to be

Information given in the problem

the expression 7^(9/4)

This equation represents exponents in fraction form and the basics for the calculation is from

a^(b/c) = [tex]\sqrt[c]{a^{b} }[/tex]

Rewriting the expression is done as below

7^(9/4)

= [tex]\sqrt[4]{7^{9} }[/tex]

[tex]\sqrt[4]{7^{9} }[/tex] comparing with [tex]\sqrt[c]{a^{b} }[/tex] gives the following values

a will be equal to 7

b will be equal to 9

c will be equal to 4

Learn more about exponents here:

https://brainly.com/question/29321719

#SPJ1

Answer:

yes

Step-by-step explanation:

Given that [tex]\cos x\sin x\tan x+\cos^2x=1[/tex]

Substitute [tex]\tan x=\frac{\sin x}{\cos x}[/tex], we obtain:

[tex]\cos x\sin x\frac{\sin x}{\cos x}+\cos^2 x=1[/tex]

Simplifying this, we get:

[tex]\sin x\sin x+\cos^2x=1[/tex]

This is equivalent to:

[tex]\sin^2x+\cos^2x=1[/tex]

The cake slice with 15m due west and 15m due north is closer

Here , the slice of cake is 20m due east and then 10 m due south.

consider it as triangle ABC.

Required Displacement can be calculated by Pythagoras theorem -

AC = √ ( AB )² + ( BC )²

By substitution,

⇒ AC = √ ( 20 )² + ( 10 )²

⇒ AC = √ ( 400 + 100 )

Simplifying this equation, we get

⇒ AC = √500

⇒ AC = 10 √5

⇒ AC = 22.56

Thus , The cake slice is 22.56 m far away.

Here another slice of cake is 15m due west and 15m due north.

consider it as a triangle DEF.

Therefore,

⇒ DF = √ ( DE )² + ( EF )²

By substitution,

⇒ DF =  √ ( 15 )² + ( 15 )²

Simplifying this equation, we get

⇒ DF = √ ( 225 + 225 )

⇒ DF = √ 450

⇒ DF = 15 √2

⇒ DF = 21.21

Thus the cake slice is 21.21 m far away.

Therefore this slice is closer.

To learn more about distance refer to;

https://brainly.com/question/26046491

#SPJ1

Answer:

y = -7x + 10

Step-by-step explanation:

As the y's are decreasing by 7, the x are increasing by 1.  This gives us a slope of -7.  When x is 0, y is 10 that is our y intercept.

In a farm composed of cows and chickens, there are total of 13 heads and 42 feet.

Let 'h’ represent the number of hens the farmer has.

Let 'c’ represent the number of cows the farmer has.

Assume that all hens have two legs and all cows have four.

There are a total of 42 legs. So

2h + 4c = 42 (1)

There are 13 animals in total.

h + c = 13 (2)

Now that we have our system of equations, we can solve by either substitution or elimination.

Elimination

(2) x 2

2h + 2c = 26 (3)

(2)—(3)

2c = 6

c=3

From (2):

c + h = 13

3+h = 13

h= 10

Therefore, the farmer has 3 cows and 10 hens.

To learn more about assuming click here https://brainly.com/question/24900258

#SPJ4

Answer:

y + 9 = -2 (x - 9)

Step-by-step explanation:

M (slope) = -2

X=9 and Y=-9

Point-slope form

y - y1 = m(x - x1)

y - - 9 = -2( x - 9)

y + 9 = -2(x -9)

The values of the domain is the which satisfies the function is x > - 4.

According to the statement

We have to find the domain of the given function

For this purpose, we know that the

In Mathematics,The domain of a function is the set of values that we are  plug into our function.

The given function is a

[tex]y = \sqrt{x+4}[/tex]

And in this function

The domain is the values of the x which we able to put in the function according to the definition.

x+4=0

x=-4.

It means the value of the domain is the [tex]x > - 4[/tex].

The values according to the upper expression satisfies the domain of the function.

So, The values of the domain is the which satisfies the function is x > - 4.

Learn more about domain of a function here

https://brainly.com/question/11787743    

#SPJ4

Answer:

(3x + 36) is equal to (6x + 9) because they are vertically opposite angles.

3x + 36 = 6x + 9

3x = 27

x = 9

Substitute x = 9 into one of the angles to find the measure.

3(9) + 36 = 63

Angle measure is 63°.

The measure of the angles is 63 degrees.

Both (3x + 36) and (6x + 9) are equal to 63 degrees.

Given that are two vertically opposite angles (3x+36) and (6x+9) we need to find the measure of the angles,

Vertically opposite angles are formed when two lines intersect, and they are equal in measure.

In this case, we have two vertically opposite angles: (3x + 36) and (6x + 9).

Since the angles are equal, we can set them equal to each other and solve for x:

3x + 36 = 6x + 9

To isolate the x term, let's subtract 3x from both sides:

36 = 6x - 3x + 9

Combining like terms:

36 = 3x + 9

Next, let's subtract 9 from both sides:

36 - 9 = 3x

27 = 3x

To solve for x, we divide both sides by 3:

27/3 = 3x/3

9 = x

Now that we know the value of x, we can substitute it back into either of the original equations to find the measure of the angles.

Let's use the first angle (3x + 36):

Angle = 3x + 36

= 3(9) + 36

= 27 + 36

= 63

Hence, the measure of the angles is 63 degrees.

Both (3x + 36) and (6x + 9) are equal to 63 degrees.

Learn more about vertically opposite angles click;

https://brainly.com/question/29186415

#SPJ6

Answer:

1 : 4

Step-by-step explanation:

the ratio of

alternative : total

= 15 : 60 ( divide each part by 15 )

= 1 : 4

Based on expression for each side of the equation, the number is -2.

Let us assume the number to be x. So, there will be two sides of equation, that is Left Hand Side and Right Hand Side. Writing the equation for each side.

Left Hand Side = 11x - 21

Right Hand Side = 7x - 29

Equating both sides of the equation.

11x - 21 = 7x - 29

Rewriting the equation with identical values on each side

11x - 7x = 21 - 29

Performing subtraction on both sides of the equation

4x = -8

Shifting 4 to Right Hand Side of the equation

x = -8 ÷ 4

Performing division on Right Hand Side of the equation

x = -2

Thus, the number is -2.

Learn more about equation :

https://brainly.com/question/21405634

#SPJ4

Answer:

C

Step-by-step explanation:

Answer:

8,333.312

Step-by-step explanation:

I did the test...

Answer:

B.  6 units

Step-by-step explanation:

Given equations:

[tex]y = -2x^2 + 8x[/tex]

[tex]x-2.23y + 10.34 = 0[/tex]

The points at which the rod is attached to the archway are the points of intersection of the two equations.

Rearrange the second equation to make x the subject:

[tex]\implies x=2.23y-10.34[/tex]

Substitute this into the first equation to create a quadratic:

[tex]y = -2(2.23y-10.34)^2 + 8(2.23y-10.34)[/tex]

[tex]y = -2(4.9729y^2-46.1164y+106.9156) + 17.84y-82.72[/tex]

[tex]y=-9.9458y^2+92.2328y-213.8312+17.84y-82.72[/tex]

[tex]y=-9.9458y^2+110.0728y-296.5512[/tex]

[tex]-9.9458y^2+109.0728y-296.5512=0[/tex]

[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]

Solve the quadratic using the quadratic formula:

[tex]\implies y=\dfrac{-(109.0728) \pm \sqrt{(109.0728)^2-4(-9.9458)(-296.5512)}}{2(-9.9458)}[/tex]

[tex]\implies y=\dfrac{-109.0728 \pm \sqrt{99.12}}{-19.8916}[/tex]

[tex]\implies y=\dfrac{109.0728 \pm \sqrt{99.12}}{19.8916}[/tex]

[tex]\implies y=5.983867702, \quad y=4.982851918[/tex]

As point B is at a higher level than point A, the y-value of point B is approximately 6 units.  

Therefore, point B is 6 units from ground level.

Answer:

Answer: 9 hours. If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4.

Answer:

312 m^2

Step-by-step explanation:

Start by separating the shapes.

you will get:

2 triangles with the dimensions 6m x 8m

1 rectangle with the dimensions: 9m x 8m

1 rectangle with the dimensions: 6m x 9m

1 rectangle with the dimensions: 10m x 9m

1) find the area of every shape

2 triangles with the dimensions 6m x 8m -----> 48m^2 and 48 m^2

1 rectangle with the dimensions: 9m x 8m ----> 72m^2

1 rectangle with the dimensions: 6m x 9m ----> 54 m^2

1 rectangle with the dimensions: 10m x 9m ---> 90m^2

2) add everything up

48m^2 + 48 m^2 + 72m^2 + 54 m^2 + 90m^2 =

312m^2

The simplified expression for the complex expression is -56-52i

What is a complex expression?

A complex expression is an expression of the form a+ ib where a , b are constant and i is the imaginary number known as iota. In a + ib a is the real part and b is the imaginary part.

We are given two complex number as (8-8i) and (8+4i)

We have to simplify the given expression

As Complex number are added multiplied subtracted same as real number we can simplify the expression easily

2(8-8i)-9(8+4i)

We multiply the constants inside the bracket

16-16i-72-36i

Separating the terms and simplifying them we get

-56-52i

Hence the simplified expression is -56-52i

To learn more about the Complex expression please refer the following link

https://brainly.com/question/10662770

#SPJ13

If Mr. Dyer pours 2 cups of blue paint into a jar for each art station, then the he can fill 8 jars with 1 gallon of blue paint.

Number of cups of blue paint for each art station = 2 cups

Given that,

One cup = 8 ounce

1 gallon = 128 ounce

2 cups of blue paint = 2 × 8

= 16 ounce of blue paint

1 gallon of blue paint = 128 ounce of blue paint

Number of jars that he can fill with 1 gallon of blue paint =  1 gallon of blue paint / 2 cups of blue paint

Here we have to use division

= 128/16

= 8 jars

Hence, if Mr. Dyer pours 2 cups of blue paint into a jar for each art station, then the he can fill 8 jars with 1 gallon of blue paint.

The complete question is:

Mr. dyer pours 2 cups of blue paint into a jar for each art station. how many jars can he fill with 1 gallon of blue paint? One cup = 8 ounce and 1 gallon = 128 ounce

Learn more about division here

brainly.com/question/21416852

#SPJ4

Which shows the following expression after the negative exponents have been eliminated

[tex]a^{2} b^{2}[/tex]

Given the algebraic expression:

[tex]\frac{a^{3}b^{-2} }{ab^{-4} }, a\neq 0, b\neq 0[/tex]

We are required to eliminate the negative exponents and find the resulting expression.

Using the Negative Exponent Law of Indices: [tex]x^{-y} = \frac{1}{x^{y} }[/tex]

Using the Division Law of Indices: [tex]\frac{t^{x} }{t^{y} } = t^{x-y}[/tex]

Therefore:

[tex]\frac{a^{3}b^{-2} }{ab^{-4} } = a^{3-1}.b^{-2-(-4)}\\ \\ Simplifying\\ \\a^{3-1}.b^{-2-(-4)} = a^{2}b^{-2+4}\\ \\ =a^{2} b^{2}\\\\Therefore:\\\\\frac{a^{3}b^{-2} }{ab^{-4} } =a^{2} b^{2}\\[/tex]

To learn more about negative exponents click here https://brainly.com/question/1773695

#SPJ4

Answer: 72 in

Step-by-step explanation:

The shortest side length of the original triangle was 3in, and the newer one is now 12in. From 3in to 12in, you use a scale factor of 4. Hence, we multiply each side length of the original triangle by 4. And to find the perimeter of the new triangle, you add all the sides up.

3(4) + 6(4) + 9(4) = 72 in

Option2 and 4 are the exponential decay from the equation.

Given that,

We have to find which one is exponential decay function.

Exponential decay function is in the form of y=abˣ where a is the initial value and b≠0,  0<b<1. power is x.

Now, Take the 1st option

y=0.25(2)ˣ

Here a is 0.25 and 2 is b

b>1

So, Option 1 is not an exponential decay.

Now, Take the 2nd option

y=2(0.20)ˣ

Here a is 2 and 0.20 is b

b<1

So, Option 2 is an exponential decay.

Now, Take the 3rd option

y=4.2(1.25)ˣ

Here a is 4.2 and 1.25 is b

b>1

So, Option 3 is not an exponential decay.

Now, Take the 4th option

y=0.55(0.91)ˣ

Here a is 0.55 and 0.91 is b

b<1

So, Option 4 is an exponential decay.

Therefore, Option2 and 4 are the exponential decay from the equation.

To learn more about exponential visit: https://brainly.com/question/28596571

#SPJ1

Haley’s Percentage Decrease from Test 1 to Test 2 to the nearest tenth is 7.5%

Nearest tenth can be defined as , Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5

Given that,

Haley’s Percent score in Test 1 = 93 %

Haley’s Percent score in Test 2 = 86%

Formula For calculating the Percentage Decrease is :

(Beginning Percentage – Final Percentage) / Beginning Percentage * 100

So, by using this formula we can calculate the percentage decrease of Haley’s Test

Percentage Decrease = (93% - 86%)/93% * 100

                 = 7.5%

To know more about Percentage Decrease, Click here :

https://brainly.com/question/14808025

#SPJ4

Answer:

i think its C. The median points per game is not affected

Step-by-step explanation:

If the measurement of ∠3 & ∠6 is given,i.e.∠3 = 4x + 7 and ∠6 = 2x + 53 then ∠1 = 120 - 6x.

Given, ∠3 = (4x + 7) and ∠6 = (2x + 53)

Let ∠1 = a,

Now, as we know the angle sum property in triangles,

the sum of all the angles in a triangle is 180°.

So, ∠1 + ∠3 + ∠6  = 180°

a + (4x + 7) + (2x + 53) = 180°

a + 6x + 60 = 180

a = 180 - 60 - 6x

a = 120 - 6x

Hence, ∠1 = 120 - 6x, if the ∠3 = 4x + 7 and ∠6 = 2x + 53

Learn more about Angle Sum Property here https://brainly.com/question/22262639

#SPJ1

The probability that a standard normal random variable will be between. 3 and 3. 2 is 0.99932.

What is standard normal random?

We shall read probabilities out rather than directly working with Z's density function to compute probabilities for Z. The elements in the tables are probabilities of the kind P(Zz), and they are tables of cumulative probabilities. Following are a number of examples that will help to clarify how to use the tables.The standard normal random.

Z∼N(0,1)

P(Z<3)=.99865

P(Z>3.2)=.99931

P(3<Z<3.2)=2(0.99931-0.99865)−1=0.99932

Hence the standard normal random variable will be 0.99932.

Learn more about standard normal random, by the following link.

https://brainly.com/question/28062936

#SPJ4