A paddle board rental company has two different rental options. Option 1 - Pay a yearly membership fee of $120 and then pay $10 each time you want to rent a board. Option 2 - Pay no membership fee and then pay $18 each time you want to rent a board. Which equation can be used to find x, the number of times rented so that the two options are equal in cost? (8.8B) *
1 point
10x = 120 + 18x
120 + 10x = 18x
120x = 10 + 18
10x + 18x = 120

Answer:

24 cupcakes

Step-by-step explanation:

4 divided by 2 is 2, so you do 12 times 2 and you get 24.

Answer:

\(y = 14x + 3400\)

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

\((x_1,y_1) = (150,5500)\)

\((x_2,y_2) = (370,8580)\)

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{8580 - 5500}{370 - 150}\)

\(m = \frac{3080}{220}\)

\(m = 14\\\)

The equation is calculated using:

\(y-y_1 = m(x - x_1)\)

Where

\(m = 14\\\)

\((x_1,y_1) = (150,5500)\)

So, we have:

\(y - 5500 = 14(x - 150)\)

\(y - 5500 = 14x - 2100\)

Make y the subject

\(y = 14x - 2100 + 5500\)

\(y = 14x + 3400\)

Answer: 3600

Step-by-step explanation: N= 3,600

3,600/12= 300

Answer:

n=0, or n=3600

Step-by-step explanation:

If your question is n/12 = 300n, n=0

Otherwise n/12=300, n=3600

Multiply both sides by 12 to isolate variable

Answer:

10

Explanation:

   The average rate of change is calculated using

   ∣∣

   ∣

   ∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aag(b)−g(a)b−aaa∣∣∣−−−−−−−−−−−−−−−

   here a = 1 and b = 3

   g(3)=2(3)3−4(3)2=54−36=18

   and g(1)=2(1)3−4(1)2=2−4=−2

   ⇒ average rate of change =18−(−2)3−1=202=10

Hope this helped

Answer:

Step-by-step explanation:

It is assumed you need to find the area of the figure.

The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.

The area of the figure:

Answer:

C

Step-by-step explanation:

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

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\(DE=\sqrt{13^{2}+12^{2}-2(13)(12)(\cos 59^{\circ})} \approx \boxed{12.3}\)

Answer: 10 times 3 equals 30 and 7 times 18 equals 126. 126 plus 30 is 156 is the answer

Step-by-step explanation:math

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer:

8p - 11

Step-by-step explanation:

Got the same I-Ready question lol

Answer:

Step-by-step explanation:

The table that represents a linear function is ob x 0 1 2 3 y 0149

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

-11

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

f(3) means that you plug in 3 for x in the entire equation of f(x)

This means when f(x) = -3x - 2

f(3) = -(3)(3) - 2

= -9 -2

= -11

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

10% of 7000 = 700

The amount of interest is 700.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 - 10/100 = 1/10

We have,

Amount deposited = 7000

Interest = 10%

The amount of interest.

= 10% of 7000

= 10/100 x 7000

= 700

Thus,

The amount of interest is 700.

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The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

The values of x for the inequality |x +9| ≥ −6 are x = -3, -15.

Step-by-step explanation:

An equation of inequality is given that is |x +9| ≥ −6 that is to be solved for x.

Firstly let us understand what is an inequality;

In mathematics, inequalities specify the connection between two non-equal numbers. To be unequal is to be unequal.

Now, let us consider the given inequality;

=> |x +9| ≥ −6

Let us take this equation this way to solve which is the negative value of  terms of the bar;

=> -(x + 9) = −6

=> -x = -6 + 9

=> x = -3

Now, Let us take this equation this way to solve which is the positive value of terms of the bar;

=> x + 9 = −6

=> x = -6 - 9

=> x = -15

Therefore, the values of x for the inequality |x +9| ≥ −6 are x = -3, -15.

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

35

Step-by-step explanation:

Given:

GH = 23

HR = 12

Required:

Length big QR

SOLUTION:

Since H is a point in between points Q and R, points Q, H, R are collinear.

QH = 23

HR = 12

QH + HR = QR (segment addition postulate)

23 + 12 = QR (substitution)

35 = QR

Therefore, the length of QR is 35

The correct conclusion based on the given statements is:

If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool.

A conditional statement, also known as an "if-then" statement, is a type of logical statement that consists of two parts: a condition (the "if" part) and a result (the "then" part).

It expresses a cause-and-effect relationship, stating that if a certain condition is true, then a specific result or action will follow.

"If the time is between 8:00 a.m. and 6:00 p.m., then people may swim or dive into the pool." This conclusion follows from the given information that if the time is within the specified range, the public swimming pool is open, and if the pool is open, people are allowed to swim or dive into it.

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The main belt is not located between these all planets.

What is orbit?

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.

The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.

The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.

Hence, The main belt is not located between these all planets.

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Answer:

S₁₀=620

Step-by-step explanation:

This is an arithmetic sequence with a common difference of d=12

The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.

We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.

Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620

using techniques such as anonymity or confidentiality to encourage honest and open responses.

There are several potential sources of bias that could be present in the sample selected for this study. One possible source of bias is selection bias, which occurs when the sample is not representative of the population from which it was drawn. This can happen if certain groups of people are more likely to be included in the sample than others, or if some individuals are more likely to participate in the study than others.

Another potential source of bias is response bias, which occurs when participants provide inaccurate or incomplete information in their responses. This can happen if participants feel uncomfortable sharing certain information, or if they have a particular agenda or bias that influences their responses.

To avoid sample bias, researchers should aim to select a sample that is as representative as possible of the population they are interested in studying. One way to do this is to use random sampling techniques, such as simple random sampling or stratified random sampling, to ensure that every member of the population has an equal chance of being included in the sample. Additionally, researchers can take steps to minimize response bias by using clear and unbiased survey questions, providing a comfortable and non-judgmental environment for participants to provide their responses.

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