A line with slope 3/2 passes through the point (1,3).
a.) Explain why (3,6) isn’t on the line.


b.) Explain why (0,0) isn’t on the line.


c.)Is the point (13,22)on this line. Explain why and why not.

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Answer:

-6.5cm/s

Step-by-step explanation:

-19.5/3

a) The hot air balloon did not violate that air space in both locations.

b) The hot air balloon is 17.678 miles to the west and 17.678 miles to the north from the airport.

c) The crashed hot air balloon violated the airport air space. (\(r \approx 8.485\,mi\), \(r < 25\,mi\))

a) Polar coordinates of the hot air balloon are described solely by the distance from origin (airport) (\(r\)), in miles, and angle in standard position (\(\theta\)), in sexagesimal degrees, that is to say:

\(z(t) = (r, \theta)\) (1)

Where \(t\) is the time, in minutes.

The location of the hot air balloon at both instants is described below:

\(z(0) = \left(37.5\,mi, \frac{5\pi}{6}\,rad \right)\), \(z(90) = \left(25\,mi, \frac{\pi}{4}\,rad \right)\)

In this case, the hot balloon violates the airport air space if and only if \(r < 25\,mi\) and the hot air balloon does not violate that air space in both locations.

b) The equivalent polar coordinates of the hot air balloon in terms of polar components is described by the following formula:

\((x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)\) (2)

Where:

If we know that \(r = 25\,mi\) and \(\theta = \frac{\pi}{4}\,rad\), then the coordinates in rectangular form is:

\((x,y) = \left(25\cdot \cos \frac{\pi}{4}, 25\cdot \sin \frac{\pi}{4} \right)\,[mi]\)

\((x,y) = (17.678, 17.678)\,[mi]\)

The hot air balloon is 17.678 miles to the west and 17.678 miles to the north from the airport.

c) The distance of the crashed hot air balloon with respect to origin is determined by Pythagorean theorem: (\(x = 6\,mi\), \(y = -6\,mi\))

\(r = \sqrt{(6\,mi)^{2}+(-6\,mi)^{2}}\)

\(r \approx 8.485\,mi\)

Since \(r < 25\,mi\), the crashed hot air balloon violated the airport air space.

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a: 4 maybe

b: origin?

I don't know if right, I am 10 and just started advanced math

The value of x is 3.5

The solution to the proportion is x = 3

From the diagram shown, we have that;

ΔRST ≅ ΔUVW

We can also see that one side of the triangle ΔRST measures 4 and the other ΔUVW measures 2.

Thus, a scale factor of 2

Then, the value of x would be;

x = 7/2 = 3.5

To determine the proportion.

We have the equation;

12/x = 4/2x - 5

cross multiply the values

12(2x - 5) = 4x

expand the bracket

24x - 60 = 4x

collect like terms

20x = 60

x = 3

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Answer: $8

From the table given, we obtained the below information

Number of cars Money ($)

5 40

10 80

15 120

20 160

Calculate the constant rate of change in dollars per car

For the first given data

The total number of cars washed is 5

The total money to washed the 5 cars is $40

Rate of change in dollars per car = Total amount of money / the total number of cars

Rate of change = 40 / 5

= $8

The same procedure applicable to the rest data

For 10 cars and $80

The rate of change in dollars per car =80/10

= $8

For 15 cars and $120

The rate of change in dollars = 120 / 15

= $8

For 20 cars and $160

The rate of change in dollars per car = 160 / 20

= $8

The constant rate of change in dollars per car is $8

The answer is $8

Answer:

\(-a^{2} -a+12\)

Step-by-step explanation:

Use the FOIL method and multiply the equations into each other to get the final answer.

Answer:

5= log2(32)

Step-by-step explanation:

IT IS CORRECT! I took the test :)

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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The duration of shoot would be 2 hours and Either stylist would cost $282 if the shoot lasted 2 hours.

A fashion photographer needs to hire a stylist to prepare his models.

Let the number of hours stylist take = x

Jayla charges $156 for showing up, plus $63 per hour. So, this can be mathematically written as ,

156 + 63x                                                  equation 1

Sally charges $158 plus $62 per hour.  So, this can be mathematically written as ,

158 + 62x                                                  equation 2

As per the question, the expected duration of his photo shoot, either stylist would cost him the same amount. So we can equate equation 1 and equation 2. On equating equation 1 and equation 2 , we will get

156 + 63x  = 158 + 62x

⇒  x = 2

So, the duration would be 2 hours.

Jayla cost = Sally cost = 156 + 63x  = 156 + (63 × 2) = 282

Either stylist would cost $282 if the shoot lasted 2 hours.

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The rule that describes the students total cost is that the relationship that exists between the total cost and the number of sets of prints is a direct relationship.

A direct relationship is the type of relationship that exists between two variables whereby the increase of one variable leads to the increase of the other variable too.

From the given table, increase in the number of sets of prints determines the total cost which increases also.

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Complete question:

Dean and Tara are photographers. they take pictures of seniors for high school yearbooks. they charge a standard fee for taking the pictures. theres also a charge for each set of prints ordered. so the number of sets of prints determines the total cost. let s stand for the sets of prints ordered write the rule that describes a students total cost.

SETS OF PRINTS (S) TOTAL COSTS

0 15

1 19

2 23

3 27

Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

Answer:

hiii :)

Step-by-step explanation:

(x-8)+11= (answer)

Answer:

because, for any n by n matrix, the sum of the dimension of the column space and the dimension of the null space must equal n. If the two dimensions are the same, their sum is an even number.

Step-by-step explanation:

It is impossible for an n-by-n matrix, where n is odd, to have a null space equal to its column space because the dimensions of the two spaces cannot be the same.

The null space of a matrix A is the set of all solutions to the equation Ax=0, where x is a column vector of appropriate dimensions. The column space of A is the span of the columns of A, which is the set of all linear combinations of the columns of A.

If the null space and column space of A are equal, then the dimension of the null space must be equal to the dimension of the column space. By the Rank-Nullity Theorem, the sum of the dimensions of the null space and the column space is equal to the number of columns in A.

Therefore, if n is odd, the dimensions of the null space and column space cannot be equal since their sum is even. Therefore, it is impossible for an n-by-n matrix, where n is odd, to have a null space equal to its column space.

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The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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Answer:

Pretty sure the Answer is b. and if not b then c.

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1.

7-3/2-9=4/-7

Answer:

D. m=-4/7

Step-by-step explanation:

To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)

X is the first number in the parenthesis and Y is the second

A includes X1 and Y1 and B includes X2 and Y2

substitute your numbers into the equation to make

7-3/2-9 then you just subtract to get 4/-7 or -4/7

If the relationship discovered is very similar to Y₁ = X and a linear regression is fit through the data points, we would expect the slope coefficient to be approximately 1.

The value of the regression R2 in this situation would likely be high, indicating a good fit.

Expectation for the slope coefficient:
If the relationship discovered is very similar to Y₁ = X, we would expect the slope coefficient of the linear regression to be close to 1. This is because the equation Y = X represents a direct proportional relationship between the dependent variable (Y) and the independent variable (X), where a unit increase in X corresponds to a unit increase in Y.

Expected value of the regression R2:
In this situation, the regression R2 value would likely be high. R2 measures the proportion of the total variation in the dependent variable (Y) that is explained by the independent variable (X). Since the discovered relationship is very similar to Y₁ = X, a linear regression through the data points would likely result in a good fit, capturing a large portion of the variation in Y.

Implications of fitting a linear regression to a non-linear relationship:
Fitting a linear regression to a non-linear relationship can lead to biased estimates and inaccurate predictions. While the R2 value might indicate a good fit, it’s important to remember that the underlying relationship is non-linear. Linear regression assumes a linear relationship between the variables, and if the true relationship is non-linear, the estimates of the slope coefficient and other parameters may not accurately represent the relationship.

To properly capture the non-linear relationship, alternative regression techniques such as polynomial regression, exponential regression, or non-linear regression models should be considered.


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Answer:

3x=96

Step-by-step explanation:

From the information given, you can write the following:

a+x=96 (1)

a=2x (2)

where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.

You can replace 2 in 1 and you would have the following:

2x+x=96

3x=96

From this, you can isolate x to find its value:

x=96/3

x=32

According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

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Answer:

k = 16

Step-by-step explanation:

Comment

Start with 8 times the sum of

Refine it down to the sum of what.?

5 + k

8(5 + k) is what you have so far

The next part of the sentence is equal to 120 or =120

Equation

8(5 + k) = 12

Solution

8(5 + k) = 129                      Remove the brackets

40 + 8k = 120                      Subtract 40 from both sides

40 - 40 + 5k = 120 - 40       Combine

5k = 80                                 Divide by 5

5k/5 = 80/5

k = 16

Answer:

(x+6)(x-3)

solve:

\(\sf x^2+3x-18\)

the least common multiple of 1 and 18 is 18 : 6 * 3

\(\sf x^2+6x-3x-18\)

breakdown

\(\sf x(x+6)-3(x+6)\)

build parenthesis

\(\sf (x-3)(x+6)\)

Answer:

20

Step-by-step explanation:

substitute 5 for 'x':

6(5) - 2(5) = 30-10 = 20

Information for use to find out if a source is credible when researching the health benefits of standing desks study sample size and article publication date is study sample size and article publication date.

Study sample size is an important factor in determining the credibility of research because a larger sample size increases the power of the study and reduces the likelihood of random error.

Article publication date is also important because research on a topic can become outdated over time and newer studies may have different or more robust findings.

A website popularity or positive product reviews do not necessarily indicate the credibility of the source or the validity of the research. A friend's story about her standing desk is also not considered a credible source of information in scientific research.

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Answer: Brand A and Brand C have the same unit cost.

Step-by-step explanation:

Here's the complete question:

Ken was pricing ingredients for a recipe he was planning to make for a dinner party. The store sold 4 different brands of the same type of product.

Brand A 8 oz $2.88

Brand B 4.5 oz $1.44

Brand C 5 oz $1.80

Brand D 4 oz $1.20

Which statement about the unit costs of the different brands is true?

a. Brand A and Brand C have the same unit cost.

b. Brand C has a lower unit cost than Brand B.

c. Brand D has a higher unit cost than Brand A.

d. Not here

Brand A 8 oz $2.88. The unit cost will be: = $2.88 / 8 = $0.36

Brand B 4.5 oz $1.44. The unit cost will be: = $1.44 / 4.5 = $0.32

Brand C 5 oz $1.80. The unit cost will be: = $1.80 / 5 = $0.36

Brand D 4 oz $1.20. The unit cost will be: = $1.20 / 4 = $0.30

Based on the calculations above, Brand A and Brand C have the same unit cost.

Answer:

9.375 days

Step-by-step explanation:

Let d be the number of days the do 1 work(job). The speed A can do the job is (1/3)/(5)=1/3 × 1/5=1/15. The speed B can do the job is (2/5)/(10)=2/5 × 1/10=2/50=1/25. (These speeds have units work per 1 day)

So the amount of work done in d days for A is 1/15×d=d/15 and that same amount of days B does 1/25×d=d/25 work.

We are trying to figure out when they ddo 1 work together.

We need to solve

d/15+d/25=1

Multiply both sides by 75=least common multiple of 15 and 25.

75d/15+75d/25=75

Reducing:

5d+3d=75

Combine like terms:

8d=75

Divide both sides by 8:

d=75/8

d=9.375

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=\(\frac{y2-y1}{x2-x1}\)

m=\(\frac{19.2-21}{28-10}\)

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.

Answer:

Step-by-step explanation:

The equation that models the fish population after t years is P(t) = 5800 * 1.20^t.

To write an equation that models the fish population after t years, we can use the formula for exponential growth:

P(t) = P(0) * (1 + r)^t

Where:

P(t) represents the fish population after t years,

P(0) represents the initial fish population (5800 in this case),

r represents the growth rate as a decimal (20% = 0.20),

t represents the number of years.

Substituting the given values into the equation, we have:

P(t) = 5800 * (1 + 0.20)^t

Simplifying further:

P(t) = 5800 * 1.20^t

Therefore, the equation that models the fish population after t years is P(t) = 5800 * 1.20^t.

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