Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed. Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
a. $0.13 / Ib.
b. $4.00 / Ib
c. $6.25 / Ib.
d. $7.75 / Ib.

Answer:

5 bud i think it this but i might be wrong

The solution to the equation is x = -28/9.To solve the equation 2 1/7 + 3/7(3x - 5) = -4, let's break it down step by step.

Step 1: Convert the mixed number 2 1/7 to an improper fraction. Multiply the whole number (2) by the denominator (7), then add the numerator (1). This gives us (2 * 7 + 1) / 7 = 15/7.

Step 2: Distribute the 3/7 to the terms inside the parentheses. Multiply 3/7 by each term, which gives us (3/7) * 3x = 9x/7 and (3/7) * (-5) = -15/7.

Step 3: Substitute the converted mixed number and the distributed terms back into the equation. The equation becomes 15/7 + 9x/7 - 15/7 = -4.

Step 4: Combine like terms. Add the fractions with the same denominator: (15/7 - 15/7) + 9x/7 = -4. The fractions cancel each other out, leaving us with 9x/7 = -4.

Step 5: Isolate the variable. Multiply both sides of the equation by the reciprocal of 9/7, which is 7/9. This gives us (7/9)(9x/7) = (7/9)(-4). The 7/9 on the left side cancels out, leaving x = (-28/9).

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Answer:

Step-by-step explanation:

r=20/100=0.2<|1|

\(S_{\infty} =\frac{a_{1}}{1-r} \\=\frac{100}{1-0.2} =\frac{100}{0.8} =125\)

The equatiοn οf the given wοrd sentence is 5 = 1/4 c.

A declaratiοn that twο expressiοns with variables and/οr numbers are equal is knοwn as an equatiοn. Equatiοns are essentially questiοns, and attempts tο lοgically resοlve these prοblems have served as the primary driving fοrces behind the creatiοn οf mathematics.

We are given an expressiοn in the wοrd fοrm as '5 is 1/4 οf a number C'

Sο, this can be written as an equatiοn which is as fοllοws

⇒ 5 = 1/4 οf c

We knοw that οf denοtes multiplicatiοn.

So,

⇒ 5 = 1/4 × c

⇒ 5 = 1/4c

Hence, the equation of the given word sentence is 5 = 1/4 c.

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Complete question:

Mary's rate per miles is 1/7 hour per mile

From the question, we have the following parameters that can be used in our computation:

Mary just finished running 3.5 miles. It took her about 30 minutes

This means that

Distance = 3.5 miles

Time = 30 minutes

Convert minutes to hour

So, we have

Time = 0.5 hour

The rate is then calculated as

Rate = 3.5/0.5

Evaluate

Rate = 7

Take the inverse

Rate = 1/7

Hence, the rate is 1/7 hour per mile

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Answer: B. 2(x - 3)(x - 4)

Step-by-step explanation:

The value of k for this line is equal to -6.

In Mathematics and Geometry, the gradient of any straight line is also referred to as slope and it can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

2 = (-14 - k)/(k + 2)

-14 - k = 2(k + 2)

-14 - k = 2k + 4

-14 - 4= 2k + k

3k = -18

k= -18/3

k = -6

In this context, we can reasonably infer and logically deduce that the value of k is equal to -6.

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Complete Question:

The gradient of the line joining the points (-2,k) and (k, -14) is 2 . Calculate the value of k.

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

There 9% represent babies born with a birth defect, and 09-99(9%) to represents babies without birth defects.

The percentage is defined as a ratio expressed as a fraction of 100.

According to one study, 45 out of every 500 babies born in the world have a serious birth defect.

Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.

p = x/n

p = 45/500

p = 0.9 = 9%

So, the simplest way to assign random numbers to conduct a simulation based on this statistic, it can use 00-99(9%) to represent babies born with a birth defect, and 09-99(9%) to represent babies without birth defects.

Hence, the correct answer would be an option (B).

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4

Step-by-step explanation:

His result is 8

2x4=8

he answered 4 questions correctly

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

the required answer is Rs.806.11

Step-by-step explanation:

principal=1000

rate=12%

time=5 years

The interest compounded quaterly

=amount=p(1+R/400)^4

Amount=1806.11

compound interest=amount -principal

=1806.11-1000

=806.11

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

Step-by-step explanation:

10

Ws

Answer:

4

Step-by-step explanation:

Y-intercept is where the line crosses the y-axis.

In this case, you can see the line cross the y-axis at 4.

Answer: 2.41666666667

Step-by-step explanation: .

Answer:

Assuming that we are dealing with a standard normal distribution, we can use a standard normal table or a calculator to find the value of z.

From the information given in the problem, we know that the area to the left of z is 0.02. This means that 0.98 of the area lies to the right of z.

Using a standard normal table or calculator, we can find the z-value that corresponds to an area of 0.98 to the right of the mean. This value is approximately 2.05.

However, since we are interested in the z-value that corresponds to an area of 0.02 to the left of the mean, we need to take the negative of the z-value we just found. So, our answer is:

z = -2.05 (rounded to two decimal places)

Therefore, the value of z such that 0.02 of the area lies to the left of z is -2.05.

(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)

From the proportionality graph shown in the figure, the number of proportions less than 0.6 is:

The total number of simulations that were run is 150

Hence the probability of getting a sample proportion less than 0.6 is given by:

Hence the probability is 0.06 or 6%.

i hope this helps! let me know if i got something wrong.

It’s :lim f(x)=85 and lim f(x)=120

The limit of the given functions f(x)=85 and lim f(x)=120.

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

lack of continuity or cohesion.  gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.

lim f(x)=85 and lim f(x)=120

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

Height = 47.77 inches

Step-by-step explanation:

We are given;

Mean = 49.9 in

Standard deviation;SD = 3.15 in

The first quartile is the 25th percentile, which means it's where 25% of the data falls.

Now from the normal distribution table attached, we can see that the z-value for 25% or 0.25 is approximately

-0.675.

To find the height that represents the first quartile of these students, we will use the formula;

z = (height - mean)/(SD)

Making height the subject ;

height = (z × SD) + mean

Plugging in the relevant values to obtain;

Height = (-0.675 × 3.15) + 49.9

Height ≈ 47.77 inches

After handling raw meat the food preparer should: wash hands with soap.

It is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and  dry your hand with a clean towel.

Washing of hand with soap will help to prevent bacteria based on the fact that  raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.

Therefore after handling raw meat the food preparer should: wash hands with soap.

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To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Answer:

An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.

See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?

July 10 book Science up55 down8

AA BB

CC DD

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

A linear association means that the dots form a line

Answer:

The answer is A

Step-by-step explanation:

A linear association is when the dots on the graph create a straight line. A creates a straight line therefore it is a linear association.

To get the answer you have to fill in the 14 for r because that is the radius. Then multiply 14 by it self to get 196 then multiply that by pie to get your answer of 615.75216.

So the answer is 615.75216

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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