Jeremiah hikes ½ miles every ¼ of an hour. Lisa hikes ⅓ mile every ⅙ of an hour. How far do they each hike in 1 hour?

Based on the scatterplots provided, the answer would be A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

In the scatterplots of log(weeks) against log(stock price), we can see that the relationship between the two variables is not linear, but rather appears to be curved. This suggests that a power model may be more appropriate, since this type of model can capture non-linear relationships.

A linear model is not suitable in this case, as the relationship between weeks and stock price does not appear to be linear. While the scatterplot of weeks against log(stock price) shows a strong linear relationship, this plot is not as appropriate for estimating the stock price as the plot of log(weeks) against log(stock price).

An exponential model may also be appropriate for capturing non-linear relationships, but the plot of weeks against log(stock price) does not show a strong linear relationship, so it is less appropriate than the plot of log(weeks) against log(stock price).

Overall, based on the provided scatterplots, a power model is the most suitable for estimating the stock price.

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Based on the scatterplots, which type of model is most suitable for estimating the stock price?

A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

B. A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.

C. An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

D. An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.

Answer:

fourth time ...

same problem...

the red line crosses a corner of a box at (4,20) and (2,10)

20/4 = 5

and

10/2 = 5

the slope , constant, gradient for this relationship is "5"

Step-by-step explanation:

Answer: probability distribution is a function of a discrete variable whose integral over any interval is the probability that the random variable specified by it will lie within that interval.

Answer: look at explanation <3

Step-by-step explanation:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Answer:

2

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

Just because

Answer:

4x

Step-by-step explanation:

\(\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x\)

\(given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x\)

The correct option is B. Famous and well-known.

A person who is widely known is said to be famous, renowned, celebrated, noteworthy, notorious, distinguished, prominent, or illustrious. Being extensively and well known, even for a little period of time, is all that being famous really means. A known actress suggests greater honor and acclaim.

Celebrated, distinguished, eminent, illustrious, notable, notorious, and renowned are some popular synonyms for famous. All of these phrases refer to being "known far and wide," while "famous" only refers to the reality of having a large and widespread following.

Disclaimer

8 famous images showed Tweed with a bag of money in place of his

A) NO CHANGE

B) famous and well-known

C) famous and commonly known

D) famous, commonly known

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Answer:

FE = 9 , DE = 15

Step-by-step explanation:

Δ FDE and Δ HGE are similar , then the ratios of corresponding sides are in proportion , that is

\(\frac{FE}{HE}\) = \(\frac{FD}{HG}\) ( substitute values )

\(\frac{FE}{6}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × FE = 6 × 12 = 72 ( divide both sides by 8 )

FE = 9

and

\(\frac{DE}{GE}\) = \(\frac{FD}{HG}\)

\(\frac{DE}{10}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × DE = 10 × 12 = 120 ( divide both sides by 8 )

DE = 15

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

a) ¿Cuál es el sabor favorito de los niños?

Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 1.5

2) 35% = 3.5

3) 50% = = 5

Step-by-step explanation:

Se encuestó a 10 niños sobre su preferencia por el sabor del pastel. Fresa 20%

Chocolate 50%

Vainilla 30%.

a) ¿Cuál es el sabor favorito de los niños?

El sabor favorito de los niños es el sabor con mayor porcentaje = Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

El sabor que menos les gusta a los niños es el sabor con el menor porcentaje = Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 15% × 10 = 1,5

2) 35% = 35% × 10 = 3,5

3) 50% = 50% × 10 = 5

Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

The fabric used by Mrs. Larson to make each pillow is 1.334 which lies between whole numbers 1 and 2.

What are whole numbers?

Whole numbers are a set of numbers including all natural numbers and 0.

They are a part of real numbers that do not include fractions, decimals, or negative numbers.

Counting numbers are also considered as whole numbers.

According to the given question:

Mrs. Larson made 12 pillows from 16 yards of the same fabric.

Fabric used by Mrs. Larson to make each pillow = 16/12

                                                                                = 4/3

This fraction when converted to decimal gives 1.334

Therefore, the fabric used by Mrs. Larson to make each pillow is 1.334 which lies between whole numbers 1 and 2.

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Step-by-step explanation:

start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.

Answer: 5

Step-by-step explanation:

Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this

You would locate 7 on the number line and do the same for -2

Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2

Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5

I hope this helps!

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

70%

Explanation:

The probability can be calculated as the number of free throws that Dylan makes divided by the total number of free throws.

So, if Dylan makes 7 out of 10 free throws, the probability can be calculated as:

Then, to know the probability as a percent, we need to multiply 0.7 by 100% to get:

P = 0.7 x 100% = 70%

Therefore, the answer is 70%

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

I hope this helps!

Answer:

56

Step-by-step explanation:

(14-7)×(40-32)

(7)×(8)

56

Answer:

56

Step-by-step explanation:

(14 - 7) x (40 - 32) = 7 x 8

                            = 56

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Answer:

Option D

-4, 0

Step-by-step explanation:

We will first of all identify the coordinates we are dealing with here.

The coordinates for this question (x,y)  are: (0,0) and (-8,0)

The next thing we will do is get the formula for finding mid points of line segments.

This is \((\frac{x_{1}+x_{2}}{2}, )(\frac{y_{1}+y_{2}}{2}, )\)

Next we will substitute the values of x 1 ,x 2, y 1, and y 2 into the equation.

We will have

\((\frac{0+(-8)}{2}, )(\frac{0+0}{2}, )=(-4, 0)\)

Hence the coordinates of the midpoint is (-4,0)

It's 3.7% (approximately)

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

Step-by-step explanation:

Given polynomials:

(6x+7+x²)+(2x²-3)

Solution:

Removing brackets,

Collecting like terms,

Simplifying ,

Done!

Hence option 3 is correct.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0.

The given expression is;

(6x+7+x²)+(2x²-3)

Now add the like term in the given expression,

⇒   x² + 2x² + 6x + 7 - 3

⇒ 3x² + 6x + 4

Hence,

The sum of polynomial is 3x² + 6x + 4.

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The equation line of the of the road in slope-intercept form is; y = 2·x - 10

The standard form of the equation of a line is Ax + Bx + C, where A, B, and C are constants and A and B are nonzero numbers.

The parameters for the new road are;

The road will be parallel to village way with points (0, 5), and (-4, -3)

The road will pass through the intersection  of Gray Dr and Canon Rd., which is the point with coordinates (3, -4)

Required; The equation of the road

Since the new road is parallel to Village Way, which has slope;

m = (5 - (-3))/(0 - (-4)) = 8/4 = 2

The slope of the new road will also be 2.

Let the equation of the new road be y = m·x + c, where m = 2 is the slope we just found. To find c, we use the fact that the road passes through the point (3, -4);

y - (-4) = 2 × (x - 3)

y = 2·x - 6 - 4 = 2·x - 10

y = 2·x - 10

Therefore, c = -10

Therefore, the equation of the new road in slope-intercept form, therefore is; y = 2·x - 10

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

To solve it, you need to use vectors. Let me show you how.

To find the vector that describes the translation, we need to subtract the coordinates of point A from the coordinates of the translated point. Let the vector be v. Then we have:

v = (-1, -3) - (-4, 2)

v = (-1 + 4, -3 - 2)

v = (3, -5)

To write this vector as a column vector, we write it vertically with square brackets. So we have:

v = [3

   -5]

Therefore, the vector that describes the translation is [3

   -5].

Step-by-step explanation:

Answer:

304.5 cm2

Step-by-step explanation:

Think imaginatively, we got two congruent triangles and two rectangles with different dimensions.

S.A. of 2 triangles = 2*( 1/2 x B x H)

= 2*( 1/2 x 10.5 x 14) = 147 cm2

Rectangle 1 = 5*17.5 = 87.5 cm2

Rectangle 2 = 5*14 = 70 cm2

Total = 147 + 87.5 + 70 = 304.5 cm2

Answer:

- 6 1/2

Step-by-step explanation:

-4 - 2 1/2

Since the signs are the same, we add them together and take the signs

4+2 1/2 = 6 1/2

Take the sign

- 6 1/2

Answer:

(-4) - 2 1/2 = -6.5

Step-by-step explanation:

( −4 ) − 2 1/2 = -13/2

-13/2 = -6 1/2  

Each can initially contains 5 tennis balls.

To find the number of tennis balls in each can, we can use the information given:

Initial number of cans of tennis balls = 7

Number of tennis balls sold = 14

Number of tennis balls left = 21

Let's assume that each can initially contains 'x' tennis balls.

Initially, the total number of tennis balls in the store is 7 cans * x balls/can = 7x.

After selling 14 tennis balls, the number of tennis balls left is 7x - 14.

We are given that the number of tennis balls left is 21, so we can set up the equation:

7x - 14 = 21

Simplifying the equation:

7x = 21 + 14

7x = 35

Dividing both sides of the equation by 7:

x = 35/7

x = 5

Therefore, each can initially contains 5 tennis balls.

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