Help me please I don’t understand

It will take 8 days for the average charge per day for company a to be the same as the average charge per day for company b.

The charges incurred by these companies are given by the word expression -

Total charge = Service fee + Fee per day. Equating the expressions by keeping values of both companies. Let us represent each day by z.

80 + 22x = 0 + 32x

Rewriting the equation

32x - 22x = 80

Performing subtraction on Left Hand Side of the equation

10x = 80

Shifting 10 to Right Hand Side of the equation

x = 80/10

Performing division on Right Hand Side of the equation x = 8

On eight days, the charge will be equal.

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Answer:

3x-9

Step-by-step explanation:

Just add the two together. (x-2) + (2x-7)= 3x-9

Answer:

d

Step-by-step explanation:

-x/3<5

-x< 5x3

-x<15

(there is an assumed 1 in front of the x)

-1x<15

x/-1<15* -1

x>-15

sign switches when we deal with negative values mutiplying and dividing

hope this helped<3

The work required to stretch the spring is 91.6 Ibs-inch

What is work?

Work is defined as force applied across a distance. Work examples include pushing an object against gravity, driving a car up a hill, and lowering a captive helium balloon. Work is the mechanical expression of energy.

Δx : displacement from equilibrium position

f = k Δ x (force due to spring = -kΔx)

where, k is the spring constant

Given,

f = 20ibs

Δx = 24 -18 Inches = 6 inches

∴ k = 20/6 ibs/inch

Now, PE stored in spring = 1/2 k (Δx)²

Δx : displacement from equilibrium position

Work done = change in PE

= 1/2K (Δx₂)² -1/2k (Δx₁)²

given,

Δx₁ = 21-18 inches = 3 inches

Δx₂ = 26-18 inches = 8 inches

∴work done = 1/2 * 20/6 (8² - 3²)Ibs-inches

=10/6 *5*11

work done = 91.6 ibs-inch

The spring must be stretched with 91.6 Ibs-inch of force.

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Given a function with one vector parameter scores, if scores may be very large, and the function will modify the parameter, the parameter would be defined as pass by reference but not constant.

Pass-by-reference refers to passing the reference of an argument in the calling function to the corresponding formal parameter of the called function. The called function can modify the value of the argument by using its reference passed in. It refers to an alias or reference to the actual parameter that is passed to the method. Pass by reference makes the parameter modifiable, but constant prevents the parameter from being modified.

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Jamal's wealth will be affected positively and negatively depending on the investment probability

If Jamal makes a small investment and the stakes are small, the small amount can affect his wealth in a positive or negative direction. The magnitude of the impact depends on the investment's probability of success and the investment's potential return.

If the probability of success is high and the potential return is positive, the impact on Jamal's net worth could be greater. On the other hand, a low probability of success and a negative potential return may have less impact on Jamal's fortunes.

Ultimately, the impact of a small investment on Jamal's wealth will depend on the specific details of the investment and the associated risks and potential rewards.

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- [(2x - cos x) / (2y - cos y)] of the following expressions represents sin x + sin y = x² + y², using the concept of differentiation.

One method is to determine a function's derivative by differentiation. Finding the instantaneous rate of change of a function depending on one of its variables is a technique known as differentiation in mathematics.

Differentiation refers to the process of calculating a function's derivative. The derivative, when applied to two variables x and y, is the rate at which x changes in relation to y. To calculate the immediate rate of change of quantities, differentiation is used.

sin x + sin y = x² + y²

Differentiating w.r.t x

d/dx (sin x + sin y) = d/dx (x² + y²)

or, cos x + cos y dy/dx = 2x + 2y dy/dx

or, cos y dy/dx - 2y dy/dx = 2x - cos x

or, dy/dx (cos y - 2y) = 2x - cos x

or, dy/dx = (2x - cos x) / (cos y - 2y)

or, dy/dx = - [(2x - cos x) / (2y - cos y)]

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To find the circumference of a circle with a radius of 7 cm, Erin should use 2×7×π. This is because the circumference of a circle is calculated by the formula 2×π×r.

The circumference is the measure of the perimeter of a circle. Since we know that from every point on the circle to its center has an equal length and is said to be its radius, the perimeter of the circle we can write as

Circumference = 2 × π × r units.

Here r is the radius of the circle.

It is given that Erin wants to find the circumference of a circle with a radius of 7 cm.

So, first, she has to know the formula for finding the circumference.

Here the radius is given as 7 cm i.e., r = 7 cm

Then, the circumference of the given circle is

= 2 × π × r

On substituting the radius value into the above formula, we get

Circumference = 2 × π × 7 cm

⇒ 14π cm

So, she needs to use option A. 2 × 7 × π  for finding the required circumference. This is the first step for finding the circumference of a circle.

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Answer:

A. 147.5

B. 430.2

Step-by-step explanation:

A. 2001

2001 - 1998 = 3

y = 122.1(1.065)³

y = 147.49

y = 147.5

B. 2018

2018 - 1998 = 20

y = 122.1(1.065)²⁰

y = 430.23706225

y = 430.2

I hope this helps!

Answer:

B. [tex]\triangle UVZ \cong \triangle YVX[/tex] (SSS)

From the given image, we can say that the congruency postulate is that; Triangle UTZ ≅ Triangle YVX by SSS

There are 6 main triangle congruency postulates namely;

1. SSS which means the three corresponding sides of both triangles are congruent.

2. SAS which means that 2 corresponding sides and the included corresponding angle are congruent.

3. ASA which means that 2 corresponding angles and the included corresponding side are congruent.

4. AAS which means that 2 corresponding angles and the non-included corresponding angle are congruent.

5. Hypotenuse-Leg Congruence Theorem which states that If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

From the given image of both triangles, we can see that all three corresponding sides are congruent to each other which indicates SSS Congruency postulate.

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Hence,  when [tex]n=10[/tex] the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality [tex]2(n + 2) < 5(n -1)[/tex] true.

So,

[tex]2(n + 2) < 5(n-1)[/tex]

When

[tex]n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45[/tex]

Hence,  when [tex]n=10[/tex] the given inequality is true.

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The measure of angle WZX is given as follows:

m < WZX = 41º.

The measure of angle XYZ is of 68º, hence, due to the bisection, we have that:

The measure of angle WXZ is of 71º, hence the measure of angle WXY is found as follows:

m < 2 x 71 = 142º.

(as the bisection of angle X means that it is divided into two parts of equal measure).

As the figure is a parallelogram, the opposite angles have the same measure, thus the measure of angle WZY is given as follows:

m < WZY = 142º.

Then, applying the bisection, the measure of angle WZX is given as follows:

m < WZX = 0.5 x 142º = 41º.

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MCN= ACN-ACN-1 is the basis of diminishing marginal utility.

What is marginal utility?

The additional pleasure a consumer has from owning one extra unit of an item or service is known as marginal utility. Economists utilize the idea of marginal utility to estimate the quantity of a good that consumers will buy.

When the overall utility is increased by the consumption of an additional item, positive marginal utility occurs. On the other side, negative marginal utility arises when the overall utility is reduced by the consumption of one extra unit.

According to the law of diminishing marginal utility, as consumption rises, the marginal utility gained from each additional unit decreases, all other things being equal. The incremental improvement in utility brought on by consuming one more unit is known as marginal utility. An economic term for happiness or contentment is "utility."

So

MCN= ACN-ACN-1

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100k in celsius is -173.15 degrees.

The Celsius scale, commonly known as centigrade, uses a base of 0° for water's freezing point and 100° for water's boiling point. Because of the 100-degree gap between the designated points, the Celsius scale, which was developed in 1742 by the Swedish astronomer Anders Celsius, is occasionally referred to as the centigrade scale.

The Celsius scale is in general use wherever the metric system of units has been adopted, and it is used in scientific work everywhere.

To convert Celsius to kelvin, the formula is:

T(K)=°C+273.15

∴100=°C+273.15

°C=100-273.15 = - 173.15

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The giant box's surface area dwarfs that of the little box by = 8 times bigger than the tiny box.

The cube's surface area is calculated as six times the square of its side lengths. 6a2, where an is the cube's side length, serves as its representation. In essence, it is the overall surface area. Study Cube Volume as well.

given

Large boxes with a side length of 6 feet are produced by Z-Grand Shipping Company.

The business also produces little boxes with 3-foot sides.

surface are of large box is = 6*6*6

= 216 feet3

surface area of small box = 3*3*3

= 27 feet3

The giant box's surface area dwarfs that of the little box by = 8 times

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Answer:

1.478 kg

Step-by-step explanation:

Considering density=mass/volume, when we rearrange, we get mass=density*volume. Therefore, as we are given the density, we just need to find the volume to know the mass. The volume of a cylinder is πhr^2, and our radius is 28/2=14, so the volume of the cylinder is π*3*14^2=588π. Then, 588π*0.8=470.4π which is about 1477.8052 g. Then, to convert to kg, we can divide this by 1000 and get about 1.478 kg.

The solution to the equality of the functions f(x) and g(x) are;

At x = 0 and x = 1

We are given the functions as;

f(x) = 3ˣ and g(x) = 2x + 1

Now, we want to find the point at which the functions f(x) and g(x) are equal. This is;

f(x) = g(x)

Thus, from the graph, we can see that;

When x = 0, f(x) = 1 and g(x) = 1

Similarly, when x = 1, f(x) = 3 and g(x) = 3

Thus, these are the points where f(x) is equal to g(x)

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Answer:

Below

Step-by-step explanation:

Area of a triangle = 1/2 b * h

Triangle A = 1/2 (4 * 10) = 20  units^2     ( I got the '10' from answers below)

Triangle B must be    b = 2   h = 2    (for area = 2)

Rectangle C must be  2 x 2               ( for area = 4)

Triangle D = 1/2 (2+2+6)*2 = 10 units ^2

Total = 20 + 2+4+ 10  = 36 units^2

Answer:

32

Step-by-step explanation:

Area of a triangle = 1/2bh

b = base

h = height

Area of a square = bh, where b=h

A:  1/2(2+2+6)(4) = 20

B:  1/2(2)(2) = 2

C:  (2)(2) = 4

D:  1/2(6)(2) = 6

Total = A+B+C+D = 20+2+4+6 = 32

**the way the dimension "6" is labeled is a little confusing.  I assumed 6 is the base of triangle D

After 3 hours Dylan and Sam will be exactly 15 miles apart .

In the question ,

it is given that ,

the speed at which Dylan is jogging in east = 4 miles per hour .

the speed at which Sam is jogging in south = 3 miles per hour .

the distance covered by Dylan is = 4t

the distance covered by Sam is = 3t

we have to find the time when they are 15 miles apart .

Since Dylan walks in east and Sam walks in South  , it forms a right triangle , so , it will satisfy the Pythagoras Theorem ,

(3t)² + (4t)² = 15²

9t² + 16t² = 225

225 = 25t²

t² = 225/25 = 9

t = 3

Therefore , the time taken will be 3 hours .

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Answer:

[tex]r=-\frac{\sqrt{7}}{7} \implies p=\sqrt{7}[/tex]

Step-by-step explanation:

We know that [tex]pr=-1[/tex] and [tex]p=49|r|[/tex].

[tex]\frac{-1}{r}=49|r| \\ \\ \frac{1}{r^2}=49r^2 \\ \\ 1=49r^4 \\ \\ r^4=\frac{1}{49} \\ \\ r=-\frac{\sqrt{7}}{7} \implies p=\sqrt{7}[/tex]

According to the point-slope form, the linear equation for the attendance in terms of the price is given as [tex]y=-20p+1490[/tex].

It is given to us that -

If the price of admission was $17, the attendance was about 1150 customers per day

When the price of admission was dropped to $12, attendance increased to about 1250 per day

We have to write a write a linear equation for the attendance in terms of the price.

Let us say that -

Price of admission is given as "p"

and, attendance of customers is given as "q"

It is given to u that -

For p = $17, q = 1150 customers per day

For p = $12, q = 1250 customers per day

We know that the point-slope form of a linear equation can be represented as -

[tex]y-y_{1} =m(x-x_{1} )[/tex] ------ (1)

where,

([tex]x_{1} ,y_{1}[/tex]) = initial coordinates of the point

m = slope of the linear equation = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] ----- (2)

From the given information, we can represent the points as -

([tex]x_{1} ,y_{1}[/tex]) = (17, 1150)

and, ([tex]x_{2} ,y_{2}[/tex]) = (12, 1250)

Substituting the values of ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) in equation (2), we have -

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\= > m = \frac{1250-1150}{12-17}\\= > m = \frac{100}{-5} \\= > m = -20[/tex]------ (3)

Now, substituting the values of ([tex]x_{1} ,y_{1}[/tex]) and m from equation (3) in the point-slope form of the linear equation (1), we have

[tex]y-y_{1} =m(x-x_{1} )\\= > y-1150=(-20)(x-17)\\= > y-1150=-20x+340\\= > y=-20x+340+1150\\= > y=-20x+1490[/tex]

In terms of price, p we can write the above linear equation as -

[tex]y=-20p+1490[/tex]

Thus, the linear equation for the attendance in terms of the price is given as [tex]y=-20p+1490[/tex].

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The required C is the independent variable and X is the dependent variable.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function,
F = 9/5C + 32

Where C > -273.15
Since the value of C in the function is justified while the value of F is not, So F will be the dependent variable and C will be the independent variable.

Thus, the required C is the independent variable and X is the dependent variable.

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Answer:

A linear function is a function whose graph is a straight line. An exponential function is a function in which the variable appears in an exponent. A linear function has a constant rate of change, meaning that the rate of change between two points on the line is the same. An exponential function has a variable rate of change, meaning that the rate of change between two points on the line is not constant.

Explanation: A linear function, has y-values with equal differences. An exponential function has y-values with equal ratios.

Prior to performing the clustering analysis, we select the value for k, the statement regarding k-means clustering is accurate and the minimum distance between the clusters should be used.

Data is divided into groups (clusters) using cluster analysis that is relevant, practical, or both. If creating meaningful groups is the goal, the clusters should reflect the data's inherent structure. However, cluster analysis can occasionally merely serve as a valuable starting point for other tasks, including data summarization. In a wide range of disciplines, including biology, statistics, pattern recognition, information retrieval, machine learning, and data mining, cluster analysis has long been crucial, whether for understanding or usefulness. Cluster analysis has been used to solve numerous practical issues.

Hartigan (1975, pp 90-91) provides the following general guideline when determining the number of clusters. When (sum(k$withinss)/sum(kplus1$withinss)-1)*(nrow(x)-k-1) is more than 10, it is justified to add the extra group if k is the result of k-means with k groups and kplus1 is the result with k+1 groups.

As a result, choice B is the appropriate response.

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Answer:

2 grams per millimeter

Step-by-step explanation:

the point (2,1) shows us this.

Answer: 37, 15, 12, 0, -6, -8, -23

Step-by-step explanation:

So, the higher the negative number, the lower the value is. Hope this helps!

Answer:

Each bag of lemons cost: $3.81

Step-by-step explanation:

We know

He pays a total of $24.36.

He pays a total of $5.31 for the cheese.

He buys 5 bags of lemons that each cost the same amount.

Let's x represent the lemon

Our equation is

24.36 = 5x + 5.31

19.05 = 5x

x = $3.81

So, each bag of lemons cost $3.81