a) is y=3/2x proportional and what is the constant of proportionality ?
b) is -x=y proportional and what is the constant of proportionality

Answer:

x is 3.43

Step-by-step explanation:

[tex]{ \tt{6x = 16 \frac{2}{7} }} \\ \\ { \tt{6x = \frac{(16 \times 7) + 2}{7} }} \\ \\ { \tt{6x \times 7 = 144}} \\ \\ { \tt{42x = 144}} \\ \\ { \tt{x = \frac{144}{42} }} \\ \\ { \tt{x = 3.43}}[/tex]

Answer:

If the time is 3:45 how many minutes is it slow or fast

The weight of Jared's watermelon is 7 pounds.

What is the unit price?

A unit price is the cost of a single object or unit of measurement, such as a pound, a kilogram, or a pint, and it is used to compare the prices of similar products offered in various weights and quantities. Selling more than one unit of the same product at a discount from its unit price is known as multiple pricing.

Given price of watermelon per pound weight is $0.24.

And Jared paid $1.68 for a watermelon.

Then,

Let the weight of the watermelon Jared bought be 'x' pounds

0.24/1 = 1.68/x

x=1.68/0.24

x=7

Therefore, The weight of the watermelon Jared bought is 7 pounds.

To learn more about unit prices, refer to the link below:

brainly.com/question/29023044

#SPJ1

Answer:

10218.4 square yards

Step-by-step explanation:

The surface area of a cylinder can be found by using the formula:

2πr(r + h)

where r is the radius of the base and h is the height of the cylinder.

First, we need to find the radius of the cylinder:

515.75 / (2 * π) ≈ 161.8

Now, we can use the formula to find the surface area:

2 * π * 161.8 * (161.8 + 10) ≈ 10218.4

The surface area of the cylinder is approximately 10218.4 square yards, rounded to the nearest hundredth.

Length of LY = 20 inches.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.

Given triangles,

ΔHKS and ΔDLY

and ΔHKS ≅ ΔDLY

If two triangles are said to be congruent, all three corresponding sides are equal.

So, LY = SK (corresponding side)

LY = 20 inches

Hence, 20 inches is length of LY.

Learn more about congruence of triangles here:

https://brainly.com/question/22062407

#SPJ1

Note: By the figure DL = 24 inches, it should be 15 inches if triangles are congruent.

Answer:2

Step-by-step explanation:

The predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

The least squares regression line is a mathematical formula that is used to predict the response variable (in this case, the number of text messages sent per day) based on the explanatory variable (the number of parties attended per week). The formula for the least squares regression line is y-hat = b0 + b1x, where y-hat is the predicted response variable, b0 is the y-intercept, b1 is the slope, and x is the explanatory variable. In this example, the y-intercept is 64.96 and the slope is 25.41. This means that the predicted number of text messages sent per day for someone who has not attended a party this week is 64.96 and the predicted number of text messages sent per day for someone who has attended one party this week is 90.37 (64.96 + 25.41).

Learn more about regression line here:

https://brainly.com/question/7656407

#SPJ4

The requried probability that for the next two cars sold, the first will be black and the second will be silver is 41%.

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

To find the probability that a customer will purchase a silver or white car, we add the probabilities of each individual color:

silver = 23%

white = 18%

silver or white = 23% + 18% = 41%

So, the probability that a customer will purchase a silver or white car is 41%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ1

The team that contains a ratio of 1/3 male to female is the team for which the number of females is three times the number of males.

The ratio between two amounts a and b is obtained applying a proportion.

A proportion is applied because the ratio is given by the division of the amount a by the amount b.

The ratio for this problem is given as follows:

Male / Female = 1/3

Applying cross multiplication, we have that:

Female = 3 Male (team has three times more females than males).

The problem is incomplete, hence the answer was given in general terms.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

-5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

hope it helps on quiz/test/assignemnt/homework !!!!!!

Answer: the missing side is longer than the other sides. the other sides' measurements are over 18, so it doesn't make sense.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

if you want to see that the fractions are equal, you should first make their denominators equal

[tex]\frac{m}{8} = \frac{4}{8}[/tex]

8 times 1 = 8, so m times 1 should equal 4

therefore, m=4

Answer:

[tex] {\red{ \boxed{\sf{m = 4}}}} \\ [/tex]

Step-by-step explanation:

[tex] \sf\frac{m}{8} = \frac{1}{2} \\ \\ \sf{m = \frac{8 \times 1}{2} } \\ \\ \sf{ m = \frac{8}{2} } \\ \\ \sf{m = \frac{2 \times 4}{2 \times 1} } \\ \\ \sf{m = \frac{4}{1} } \\ \\ \sf{so...} \\ \\ \sf{m = 4}[/tex]

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Since each box is the same, that means Box A = Box B, which means 8y+1=6y+9

[tex]8y + 1 = 6y + 9[/tex]

Now to get y's on one sides of the equal sign and numbers on the other.

First we can subtract 1 from each side to get

[tex]8y = 6y + 8[/tex]

Next we'll subtract 6y from both sides

[tex]2y = 8[/tex]

Lastly, we divide both sides by 2

[tex]y = 4[/tex]

Answer:

y=4

Step-by-step explanation:

set up the equation like 8y+1=6y+9.

subtract the one to the other side to get the 8y isolated.

8y=6y+8

subtract6 6y from 8y.

2y=8

divide to find y.

y=4

Step-by-step explanation:

x 2 + 4x +6x+(6 x 4) =(x +6)(x +4)

4x and 6x are like terms so we add them together

x2 +10x +24

Carrying capacity is the value of p where [tex]0.1p-0.00025p^{2} =0[/tex]. Soln: increasing between 0 and K, decreasing when p > K.

The largest population that can be supported in a certain ecosystem is known as the carrying capacity. It can be found by setting the derivative of the logistic equation to zero, which represents the maximum population growth rate. The carrying capacity of the logistic equation, [tex]0.1p-0.00025p^{2} =0[/tex], can be found by solving for p when the derivative is equal to zero. The solution is p = 40,000.

When t is between 0 and the carrying capacity, the population is increasing because the derivative of the logistic equation is positive. When t is greater than the carrying capacity, the population is decreasing because the derivative of the logistic equation is negative.

The logistic equation represents the growth of a population with time, where p is the population size, and t is measured in weeks. The carrying capacity is the maximum population size that can be sustained in the environment and is given by the value of p that makes the right-hand side of the equation equal to 0. The solution is increasing when t is between 0 and the carrying capacity, and decreasing when t is greater than the carrying capacity.

Learn more about logistic eq. represents the growth of a population here:

https://brainly.com/question/12451076

#SPJ4

Answer: 25

Step-by-step explanation: just replace the variables with the numbers and multiply and then add!

Answer:The result can be shown in multiple forms.

Point Form:

(-1,-1)

Equation Form:

x= - 1,y = -1

Step-by-step explanation:

just do it

The value of d/dx (fourth root 5x) is 5/4x^-1/3

Differentiation is a method used to compute the rate of change of a function f(x) with respect to its input x . This rate of change is known as the derivative of f with respect to x .

Differentiation is used to determine the instantaneous rate of change of quantities. For instance, if we want to find the velocity of a car, we can do it by using differentiation. Mathematically, it is expressed as v = d s /d t , where s is displacement and t is time.

if y =x^n

dy/dx = nx^n-1

therefore to find d/dx(fourth root 5x)

fourth root 5x = 5x^1/4

= d/dx(5x^1/4)

=1/4×5x^1/4-1

= 5/4x^-1/3

learn more about differentiation from

https://brainly.com/question/25081524

#SPJ1

The central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians.

The formula for the central angle of a circle given the arc length is:

Plugging in the given values, we get:

θ = 2 * arccos(166/(2 * 86))

= 2 * arccos(1)

= 2 * 90°

= 180°

= 3.142 radians (rounded to three decimal places)

So the central angle of the circle with a radius of 86 km that intercepts an arc of length 166 km is approximately 3.142 radians. The central angle of a circle given arc length is given in the formula; for a given 86 km radius & 166 km arc, the central angle is approximately 3.142 radians.

Learn more about central angle:

https://brainly.com/question/29637761

#SPJ4

From conditional statements, there can be built a Tautology.

According to the question, when the Hypothesis is true and the conclusion is false, the result will be false. And that's correct.

But when a conditional statement can a Tautology, given the fact that not always a conditional statement will return the logical value of truth? Look at this example below:

1)James is from Orlando and he lives in Florida. Therefore, James is from Orlando.

2)James is from Orlando and he does not live in Florida. Therefore, James is from Orlando.

3)James is not from Orlando and lives in Florida. Therefore, James is from Orlando.

4)James is not from Orlando and he does not live in Florida. Therefore, James is from Orlando.

What we have above is symbolic for:

p∧q→p

And this is tautological, since no matter, what we have line 2 for p∧q, q being false it does not change the value for false, in any way for the whole proposition p∧q→p. What gives us a Tautology?

This, p∧q→p can be rewritten as p∧q⇒p.

Read more about Tautology:

https://brainly.com/question/13424234

#SPJ4

Answer:

One Solution

Step-by-step explanation:

The graph shows two lines crossing each other once, therefore meaning there is only one solution in this graph.

The image point of (-9, -6) after the transformation T<0, 4> R90° is (6, 13).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The transformation shifts a point up by 4 units on the y-axis. The transformation is a point 90 degrees counterclockwise.

So, to find the image point of (-9, -6) after the transformation, we first apply the rotation R90° :

(-9, -6) → (6, 9)

Next, we apply the translation T<0, 4> :

(6, 9) → (6, 13)

So, the image point of (-9, -6) after the transformation R90° is (6, 13).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ1

The greatest positive integer [tex]$n$[/tex] such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

[tex]$k = (2 - 1)(3 - 1)(4 - 1)...(20 - 1)$[/tex]

We can rewrite [tex]$k$[/tex] as [tex]$k = 2^1 \cdot 3^1 \cdot 4^1 \cdot ... \cdot 20^1$[/tex], and then use the formula [tex]$2^n \mid (p_1^{\alpha_1} \cdot p_2^{\alpha_2} \cdot p_3^{\alpha_3} \cdot ... \cdot p_m^{\alpha_m})$ $\iff$ $2^n \mid p_1^{\alpha_1}$[/tex] and [tex]$2^n \mid p_2^{\alpha_2}$[/tex] and[tex]$2^n \mid p_3^{\alpha_3}$ and ... and $2^n \mid p_m^{\alpha_m}$[/tex]

Since all of the exponents [tex]$\alpha_1, \alpha_2, \alpha_3, ..., \alpha_m$[/tex] are equal to 1, we can simplify this to: [tex]$2^n \mid p_1$ and $2^n \mid p_2$ and $2^n \mid p_3$ and ... and $2^n \mid p_m$[/tex]

In this case, [tex]$p_1 = 2$, $p_2 = 3$, $p_3 = 4$[/tex], and so on, so [tex]$2^n$[/tex] must divide all of the prime numbers from 2 to 20 in order for it to divide k. The highest power of 2 that divides all of these prime numbers is [tex]$2^4$[/tex], so the greatest positive integer n such that [tex]$2^n$[/tex] divides [tex]$k$ is $n = 4$[/tex].

Learn more about exponents here:

https://brainly.com/question/29014219

#SPJ4

y=3x-9 is the  equation of the line with the given slip and y-intercept slope is 3 y intercept is -9

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the equation of the line with the given slip and y-intercept slope is 3 y intercept is -9

m=3 and y intercept is -9

y=3x-9

Hence, y=3x-9 is the  equation of the line with the given slip and y-intercept slope is 3 y intercept is -9

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

The line of best fit is a mathematical representation of the general trend of the data points.

Number is a mathematical object used to count level and measure it is the fundamental concept in mathematics and is used in many different way number can be used to represent anything from quantities of object to ideas and concept additionally number are used to describe relationship between different object or concept. Numbers are also used to represent position in space as well as represent that time graph of table.

It gives an estimate of the expected quiz score when given a certain number of hours studied. In this case, the expected quiz score for someone who studied 6 hours would be around 85. However, it is important to note that this is only an estimate and the actual score could be higher or lower depending on the individual's knowledge and preparation for the quiz.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).

To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.

The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

Learn more about random sample here:

https://brainly.com/question/28985088

#SPJ4

The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.

The probability of drawing two marbles from a box containing two blue marbles and three red marbles is calculated as follows. The total number of possible outcomes is calculated by multiplying the number of marbles in the box (2 blue and 3 red) by the number of marbles drawn (2): 5 x 5 = 25. The number of possible outcomes in which two blue marbles are drawn is calculated by multiplying the number of blue marbles in the box (2) by the number of marbles drawn (2): 2 x 2 = 4. The probability of drawing two blue marbles is thus 4/25 or 16%.  Similarly, the probability of drawing two red marbles is 12/25 or 48%. The probability of drawing one blue marble and one red marble is calculated by multiplying the number of blue marbles in the box (2) by the number of red marbles in the box (3): 2 x 3 = 6. The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.

Learn more about probability  here:

https://brainly.com/question/11234923

#SPJ4

Answer:

14. D

15. angle 2= 125 angle 6= 55

16. yes, because if corresponding angles are congruent, then the lines are parallel.

Step-by-step explanation:

14. alternant exterior are outside of the parallel lines. angle HBF and angle ABD are not.

15. corresponding angles are congruent. angle 5 is the vertical angle of angle 2, meaning that they are congruent. angle 6 are linear pair, meaning they equal to 180. 180-125 is 55, which is the angle measure for angle 6.

Answer:

6 weeks

Step-by-step explanation:

7 ft = 84 in

84-63=3.5*(number of weeks)

21=3.5*(number of weeks)

21/3.5=number of weeks

6= number of weeks

Answer:

6 weeks

Step-by-step explanation:

7 feet is 84 inches 7 x 12 is 84

we must find the difference

84-63=21

now we divide 21 by 3.5

and week get how much weeks we have left

21/3.5=6

Answer: if you are on a graph and go down 15 it would be

Step-by-step explanation:

15 minus 10 equals