i need some help on these, can anybody help me?

The rate of change for cost is =  $2 per hour .

In the question ,

it is given that

the fixed rent for the bicycle is =$20

per hour charge of the bicycle is = $2

let the number of hours we rent a bicycle is = x

and let the total cost for renting the bicycle is = y

So , the equation to represent the cost becomes

y = 20 + 2x

to find the rate of change we differentiate the equation with respect to x .

we get

dy/dx = 2

Therefore , The rate of change is $2 per hour .

The given question is incomplete , the complete question is

You rent a bicycle for $20 plus $2 per hour. What is the rate of change of Cost ?

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Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.

The basic mathematical operations are addition, subtraction, division, and multiplication.

These mathematical operations can be used to determine the results of mathematical expressions.

The total pounds of vegetables required for a stew = 3 pounds

Available pounds of vegetables:

Onions = 3/8 pounds

Tomatoes = 1/3 pounds

The total available pounds = 17/24 pounds

Additional pounds required = 3 - 17/24 pounds

= 2⁷/₂₄ pounds

Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.

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Answer:

y = 0.4x

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 4 when x = 10 , then

4 = 10k ( divide both sides by 10 )

[tex]\frac{4}{10}[/tex] = k , that is

k = 0.4

y = 0.4x ← equation of variation

The percent of the people surveyed were satisfied with the​ car will

be 45%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of people in a survey of car = 1,500

And, 675 people said they would buy that type of car again.

Now,

Total number of people in a survey of car = 1,500

And, The people surveyed were satisfied with the​ car = 675

Hence, The percent of the people surveyed were satisfied with the​ car is;

= 675 / 1500  x 100

= 0.45 x 100

= 45%

Thus, The percent of the people surveyed were satisfied with the​ car will

be 45%.

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600 is the 80% of the the expected number

Number of people that expected to attend the concert = 750 people

Number of people that attended the concert = 600 people

600 is what percent of the expected number = ( Number of people that attended the concert ÷ Number of people that expected to attend the concert ) × 100

Substitute the values in the equation

600 is what percent of the expected number = (600 / 750) × 100

Divide the terms in bracket first

= 0.8 × 100

Multiply the given terms

= 80%

Hence, 600 is the 80% of the the expected number

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The piece of information does he need is  ∠F ≅ ∠J.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides.

Properties of triangle?

Given,

ΔFGH = ΔJKL

By SAS property of triangle;

[tex]\bar{FH}[/tex] ≅ [tex]\bar{JL}[/tex],     FG ≅ JK

third property ,

                         ∠F = ∠J

By SAS property at least two side their ratio must be equal and one angle.

[tex]\frac{FG}{JK} = \frac{FH}{JL}[/tex]

∠F = ∠J

So, option A is correct.

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Answer:

r = 9

Step-by-step explanation:

Hello!

Solve for r by isolating the variable.

The value of r is 9.

Pygmy rabbit is 22.61-10 meters longer than the wasp.

Given:

A wasp is 1.39-10 meters long.

A pygmy rabbit is 24-10¹ meters long.

Pygmy rabbit longer than the wasp = size of pygmy rabbit - size of wasp.

= (24 - 1.39)-10meters

= 22.61-10 meters.

Therefore pygmy rabbit is 22.61-10 meters longer than the wasp.

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Answer:

-----------------------------------

Answer:

Perimeter = -3h + 24

Step-by-step explanation:

Forming the expression,

→ 7 + (14 - 6h) + (3h + 3)

Let's simplify the expression,

→ 7 + (14 - 6h) + (3h + 3)

→ 7 + 14 - 6h + 3h + 3

→ (-6h + 3h) + (7 + 14 + 3)

→ -3h + 24

Hence, answer is -3h + 24.

The ratio of the areas of these two photos is equal to 9:16.

In Mathematics, a ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities.

This ultimately implies that, a ratio is generally expressed as a quotient of two numerical quantities or variables.

Generally speaking, the corresponding ratio of the areas of two geometric figures (shapes) is equal to the square of the ratio of their corresponding side length:

Area of photos = (a:b)²

Substituting the given parameters into the formula, we have;

Area of photos = (3:4)²

Area of photos = 9:16

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The best interpretation of the function v(2) = 8 is that the volume of a cube with side length of 2 units is 8 cubic units

Function notations are the representation of a function using expressions such as g(x), f(x), etc

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

v(2) = 8

From the question, we have the following representation

v(s)

This means that the volume of a cube of side length s is v(s)

When the above function is compared to v(2) = 8, we have the following comparison

s = 2 and v(s) = 8

This means that a cube of side length 2 has a volume of 8

The above represents the best interpretation of v(2) = 8

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Answer:

a = 7

Step-by-step explanation:

Substitute x for 2 and f(x) for 14

14 = -2(2³) + a(2²) + 2

14 = -16 + 4a + 2

14 = -14 + 4a

14 + 14 = 4a

28 = 4a

4a = 28

Divide both sides by 4

4a/4 = 28/4

a = 7

Alternative:

Since from the question, you're already told that f(2) = 14, you just have to find the number that can be multiplied by 2 with a resultant of 14; that number is 7. To confirm, substitute a for 7 in the equation.

Answer:

Never

Because for example; 25(the multiple of 5) + 20(the multiple of 10) equals 45

Answer:

Step-by-step explanation:

never

60 minutes will be taken by the older computer to send out the email on its own.

Two or more expressions with an Equal sign is called as Equation.

one computer takes x minutes and the other takes 3x minutes

in 1 minute, they send (1/x) and (1/3x) of the total message

together, (15/x)+(15/3x)=1, the full message

multiply by 3x to clear fractions

45+15=3x

60=3x

Divide both sides by 3

20=x

So for older computer  60 minutes  it take to send out the email on its own.

Hence, 60 minutes will be taken by the older computer to send out the email on its own.

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A) The data modelling is an exponential function.

B) The explicit funciton that will be used to represent the data is;

f(n) = 2(2)^(n - 1)

C) The average rate of change here is; 7

A) We are given the coordinates as;

(1, 2), (2, 4), (3, 8), (4, 16)

From the given coordinates, we can observe a pattern which is that when x increases by 1, then y is multiplied by 2.

Thus, we can see that as the quotient between consecutive terms is the same, the data is a geometric sequence which is an exponential function.

B) The explicit formula that will be used for a geometric sequence with common ratio r and first term a is given by:

f(n) = ar^(n - 1)

Since first term ; a = 2

and common ratio r = 2, then we can say that;

f(n) = 2(2)^(n - 1)

C) The formula for average rate of change here is;

dy/dx = (y₂ - y₁)/(x₂ - x₁)

The coordinates of the 2nd and 4th day are;

(2, 4) and (4, 16)

Thus;

dy/dx = (16 - 4)/(4 - 2)

dy/dx = 14/2 = 7

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The slope of the line that is perpendicular to y is m=6/7.

What do you mean by slope?

A number used to define a line's direction and steepness in mathematics is called the slope or gradient of the line.

The slope is denoted by m,

m = slope

According to the data in the given question:

We have to determine the slope of line that is perpendicular to y,

y=6/7x+2

For the slope, we need follow this equation, where m is slope,

y=mx+b............(1)

In the given question,

m=6/7

Therefore, the slope of the line is m=6/7.

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Answer:

D) 16

Step-by-step explanation:

A=4

[tex]a^3[/tex]/a=?

[tex](4^3)[/tex]/(4)=?

64/4=16

The x intercept of y = -2x - 21 is  [tex]\frac{-21}{2}[/tex]

The y intercept of y = -2x - 21 is -21

What is x - intercept and y - intercept of a line?

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

The given equation of line is

y = -2x - 21

For x intercept, we have to put y = 0

[tex]-2x - 21 = 0\\2x = -21\\x = \frac{-21}{2}[/tex]

So the x intercept is [tex]\frac{-21}{2}[/tex]

For y intercept, we put x = 0

[tex]y = -2\times 0 -21\\y = -21[/tex]

The y intercept is -21

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Answer: candidate 2 has 90 votes

Step-by-step explanation:

165-75=90

The value of x according to the given equation as in the task content is; 3¹⁹.

It follows from the task content that the value of x is to be determined from the equation given in the task content.

Therefore, since the equation given in the task content is;

(81)⁵ = 3x

(3⁴)⁵ = 3x

3²⁰ = 3x

Therefore, the value of x can be evaluated as;

x = 3²⁰/3

x = 3¹⁹.

Ultimately, the value of x from the given equation is; 3¹⁹.

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The difference in lengths is 9 cm and the length of the carrot is 9 cm longer than the pea pod.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have to determine the difference in lengths

The length of the carrot = 14 cm

The length of the pea pod = 5 cm

The difference in lengths = maximum length - minimum length

The difference in lengths = 14 cm - 5 cm

Apply the subtraction operation, and we get

The difference in lengths = 9 cm

We conclude that the length of the carrot is 9 cm longer than the pea pod.

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Answer: [tex]\frac{3}{5}[/tex]of the class like blue

Step-by-step explanation:

There are : 40 - 12 - 4 = 24 ( students like blue )

[tex]\frac{24}{40}[/tex]= [tex]\frac{3}{5}[/tex]

Answer:

D? I'm not sure tho so don't be mad if it's wrong

Function g(x) is a translation of one unit to the left and 3 units down of f(x), then the correct option for the graph of g is B.

Here we start with a function f(x), and we also have the graph of this function.

And we want to find the graph of the function defined as:

g(x) = f(x + 1) - 3

Notice that:

g(x)=  f(x + 1)

Is a translation of one unit to the elft of f(x).

g(x) = f(x) - 3

Is a translation of 3 units down of the graph of f(x).

Then:

g(x) = f(x + 1)- 3

Is a translation of one unit to the left and 3 units down.

With that in mind, we can see that the correct option for the graph of g(x) is option B.

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The 160 feet range and 70 feet height of the path of Gunter Money which can be described with a quadratic equation, gives;

(a) The path is; y = -1.09375×10²·x² + 1.75·x

(b) The vertex form of the equation is; y = -1.09375·(x - 80)² + 70

(c) The angle at the start is approximately 60.3°

A quadratic equation is a single variable polynomial equation of the second degree.

The points in the path which is a path of a projectile and has a shape of a parabola are;

(0, 0), (80, 70), and (160, 0)

The equations are;

y₁ = a·x₁² + b·x₁ + c

y₂ = a·x₂² + b·x₂ + c

y₃ = a·x₃² + b·x₃ + c

Plugging in the coordinates of the three points in the path gives;

The matrix becomes;

[tex]A = \begin{bmatrix}0 & 0 & 1\\80^2 &80 & 1\\160^2 &160 &1 \\\end{bmatrix}[/tex]

[tex]X = \begin{bmatrix}a \\b \\c\end{bmatrix}[/tex]

[tex]Y = \begin{bmatrix}0 \\70 \\0\end{bmatrix}[/tex]

We have;

A·X = Y, which gives;

[tex]\begin{bmatrix}0 & 0 & 1\\80^2 &80 & 1\\160^2 &160 &1 \\\end{bmatrix}\cdot \begin{bmatrix}a \\b \\c\end{bmatrix} = \begin{bmatrix}0 \\70 \\0\end{bmatrix}[/tex]

[tex]X = \dfrac{Y}{A} = A^{-1}\cdot Y[/tex]

Where;

A⁻¹ = The inverse of the matrix A

[tex]\begin{bmatrix}a \\b \\c\end{bmatrix} = \frac{ \begin{bmatrix}0 \\70 \\0\end{bmatrix}}{\begin{bmatrix}0 & 0 & 1\\80^2 &80 & 1\\160^2 &160 &1 \\\end{bmatrix}} = \begin{bmatrix}\dfrac{1}{12800} & -\dfrac{1}{6400} & \dfrac{1}{12800} \\\\-\dfrac{3}{160} &\dfrac{1}{40} & -\dfrac{1}{160} \\\\1 &0 &0 \\\end{bmatrix}\bullet \begin{bmatrix}0\\ \\70\\ \\0\end{bmatrix}=\begin{bmatrix}-\dfrac{7}{640} \\ \\\dfrac{7}{4} \\ \\0\end{bmatrix}[/tex]

[tex]\begin{bmatrix}a \\b \\c\end{bmatrix} = \begin{bmatrix}-\dfrac{7}{640} \\ \\\dfrac{7}{4} \\ \\0\end{bmatrix}[/tex]

[tex]a = -\dfrac{7}{640}[/tex]

[tex]b = \dfrac{7}{4}[/tex]

c = 0

The equation for Gunter Money's path is therefore;

[tex]y = -\dfrac{7}{640} \cdot x^2 + 1\dfrac{3}{4} \cdot x + 0 = -1.09375\times 10^2 \cdot x^2 + 1.75\cdot x[/tex]

(b) The vertex of the path is (h, k) = (80, 70)

The vertex form of a quadratic equation is; y = a·(x - h)² + k

The equation of Gunter Money's path in vertex form is therefore;

[tex]y = -\dfrac{7}{640} \cdot \left(x - 80)^2 + 70 = -1.09375\times 10^2\cdot (x - 80)^2+70[/tex]

(c) The angle of the parabolic path of Gunter Money's motion at a point is given by the value of the arctangent of the differentiation of the function for the motion at the point as follows;

[tex]y' = -\dfrac{7\times 2}{640} \cdot x + 1\dfrac{3}{4}[/tex]

At the point Gunter Money takes off,  (0, 0), we have;

[tex]tan(\theta) = y' = -\dfrac{7\times 2}{640} \times 0 + 1\dfrac{3}{4} = 1\dfrac{3}{4} = 1.75[/tex]

[tex]\theta = arctan(1.75) \approx 60.3^{\circ}[/tex]

The angle is approximately 60.3°

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Answer: True

PLEASE GIVE ME BRAINLIEST THANK YOU VERY MUCH

True, the Subtraction Property of Equality can be used to solve it.

The equality subtraction property refers to balancing an equation by performing the same mathematical operation on both sides.

Let's work through your equation step by step.

4+x=13

Step 1: Take 4 off both sides.

4+x−4=13-4

x=9

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The value of x will be= 90 degress.

acc to our question-

hence,The value of x will be= 90 degress.

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The slope-intercept form is

    y = - x + 1

Given points are  (2, - 1)

          and  y = x + 4

The product of slopes of perpendicular lines is  - 1

   so ,  m = - 1/1  =  -1

     ∴ y = -1 (x) + b

       y  = - x + 1

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Answer:

Step-by-step explanation 2/3 is the answer :

The required probability, that she chooses low-fat yogurt is 2/3.

Given that, a cooler is filled with containers of yogurt. Some of the containers have low-fat yogurt and some have non-fat yogurt. There are three flavors for each type of yogurt, as shown in the table.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

From the given,
Sample space = 24

Low Fat =16
Non-fat = 8

The probability that she chooses low-fat yogurt
= 16/24
= 2/3

Thus, the required probability, that she chooses low-fat yogurt is 2/3.

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