suppose another dog weighs 25.7 pounds and consumes 70 ounces of food per week. what is the residual associate to this individual using the least squares estimate? provide your answer accurate to 1 digit past the decimal point.

The integral ∫[0, -7] (4 + 49 - x^2) dx, interpreted as the area under the curve, is equal to 371/3.

To evaluate the integral ∫[0, -7] (4 + 49 - x^2) dx by interpreting it in terms of areas, we can interpret the integrand as the height of a function and the differential dx as an infinitesimally small width of a rectangle. The integral then represents the sum of the areas of these rectangles over the given interval.

The integrand, 4 + 49 - x^2, simplifies to 53 - x^2.

Since we are integrating from x = 0 to x = -7, the integral represents the area between the curve y = 53 - x^2 and the x-axis, bounded by x = 0 and x = -7.

To find this area, we can split it into two parts: the area under the curve from x = 0 to x = -7 and the area above the curve from x = -7 to x = 0.

The area under the curve from x = 0 to x = -7 can be calculated as ∫[-7, 0] (53 - x^2) dx, which is the negative of the integral we are given.

∫[0, -7] (4 + 49 - x^2) dx = -∫[-7, 0] (53 - x^2) dx

Using the power rule of integration, we can integrate the expression:

-∫[-7, 0] (53 - x^2) dx = -[53x - (x^3/3)] evaluated from x = -7 to x = 0

Plugging in the limits of integration, we get:

-[(53(0) - (0^3/3)) - (53(-7) - ((-7)^3/3))]

Simplifying further:

-[(0 - 0) - (371/3)]

Finally, we have:

∫[0, -7] (4 + 49 - x^2) dx = 371/3

So, the value of the integral is 371/3.

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The initial equation is:

So if we use the distribution propertie, we have to multiply the 4 for all term in the parenthesis so:

and then we simplify:

So is option D)

A statement that is true for the functions f(x) and g(x) include the following: B. they share a common x-intercept.

In Mathematics and Geometry, the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or the value of "f(x)" or "g(x)" is equal to zero (0).

When g(x) = 0, the x-intercept of g(x) can be calculated as follows;

g(x) = -2x² + 2

0 = -2x² + 2

0 = -2(x² - 1)

x² - 1 = 0

x² = 1

x = ±√1

x = 1 or x = -1

Therefore, the x-intercept of g(x) are (-1, 0) and (1, 0).

By critically observing the graph representing the function f(x) shown above, we can logically deduce that the x-intercept of f(x) are (-1, 0) and (3, 0).

In conclusion, (-1, 0) is a common x-intercept to both f(x) and g(x).

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Answer:

I think its c hope this helps I may be wrong

The value of the function f(7) is 0.67

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

f(x) = 3/(x + 2) - √(x - 3

Substitute the known values in the above equation, so, we have the following representation

f(7) = 3/(7 + 2) - √(7 - 3)

So, we have

f(7) = 1/3 * 2

Evaluate the product

f(7) = 0.67

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Answer:

7) 480 m³

8) 84 ft³

Step-by-step explanation:

7) 8 x 6 x 4 = 192

12 x 6x 4 = 288

192 + 288 = 480

8) 6 x 4 x 2 = 48

6 x 3 x 2 = 36

36 + 48 = 84

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

1st one is, Left

2nd one is, 3

3rd one is, Up

4th one is, 2

Step-by-step explanation:

The pre-image moved horizontally  

✔ left

.

The pre-image moved horizontally  

✔ 3

units.

The pre-image moved vertically  

✔ up

.

The pre-image moved vertically  

✔ 2

units.

Left 3,

3rd one is up.

4th one is 2.

You're Welcome!

Answer:

f(-3) = -22

Step-by-step explanation:

5(-3) = -15

-15 - 7 = -22

Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

Answer:

B

Step-by-step explanation:

Work Shown:

\(x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\\)

The rule used on line 3 is \(\sqrt{A}*\sqrt{B} = \sqrt{A*B}\)

Answer:

-1.8x-6xy

Step-by-step explanation:

The distributive property is one of the properties of real numbers

Mathematically, we can have it expressed as follows;

a •(b+ c) = a•b + a•c

Thus, applying this to the problem at hand, we have;

x(-1.8-6y) = x •(-1.8) - x•(6y)

Opening the brackets we have;

-1.8x-6xy

Percentage of people who viewed version 1 and are likely to buy = 25 / 65 x 100% = 38.46%.

The way of expressing a number as a fraction of 100. It represents a proportion or rate per 100, and is often used to express changes, comparisons, and proportions in various fields such as mathematics, finance, and statistics.

The completed two-way table is:

Version 1 Version 2 Version 3 Total

Likely to 25 20 54 99

Buy    

Unsure or 40 10 21 71

Unlikely to    

Total 65 30 75 180

To find the number of people likely to buy version 2 or version 3, we add up the number of people who said they were likely to buy for those two versions:

Number of people likely to buy version 2 or version 3 = 20 + 54 = 74

To find the percentage of people who are unsure or unlikely to buy, we add up the number of people who said they were unsure or unlikely to buy, and divide by the total number of people surveyed, then multiply by 100%:

Percentage of people unsure or unlikely to buy = (40 + 10 + 21) / 180 x 100% = 38.89%

To find the percentage of people who viewed version 1 and are likely to buy, we divide the number of people who said they were likely to buy version 1 by the total number of people who viewed version 1, then multiply by 100%.

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Answer:

Step-by-step explanation:

skew

Answer:

D is your option

Step-by-step explanation:

Edge 2020

Answer:

7 km

Step-by-step explanation:

let the speed of boat in still water is x km/hr. 

given speed of stream is 3 km/hr. 

then speed of boat upstream = ( x - 3) km/hr

speed of boat downstream = (x + 3 ) km/hr 

Distance travelled upstream = 4 km

time taken to travel upstream = distance travelled upstream / speed of boat 

upstream

= 4 / (x - 3 ) .............(1) 

Distance travelled downstream = 10 km

time taken to travel downstream = distance travelled downstream / speed of boat 

downstream

= 10 / (x + 3) ............(2)

given that boat takes same time to travel upstream and downstream.i.e; (1) & (2) are equal

i.e. 4/(x-3) = 10/ (x + 3 ) 

4 * (x +3 ) = 10 * (x- 3)

4x + 12 = 10x - 30

12 + 30 = 10x -4x 

42 = 6x 

x = 42 / 6 = 7. 

i.e speed of boat in still water is 7 km/hr.

The given expression is x² - 25x.

To solve for the indefinite integral using the substitution x = 5 sec(), we will use the following steps:

Find the value of dx in terms of dθ.

Substitute x = 5 sec() in the given expression.

Use the identity 1 - sec²(θ) = tan²(θ) to simplify the expression.

Evaluate the indefinite integral.

Therefore, Find the value of dx in terms of dθ.

dx/dθ = 5 sec(θ) tan(θ)dθ

Substitute x = 5 sec(θ) in the given expression.

x² - 25x = (5 sec(θ))² - 25(5 sec(θ))= 25 [sec²(θ) - 5sec(θ)]

Use the identity 1 - sec²(θ) = tan²(θ) to simplify the expression.

= 25 [1 - (1/cos²(θ))] - 125/cos(θ)= 25 [tan²(θ)] - 125/cos(θ)

.Evaluate the indefinite integral by substituting u = tan(θ) and du = sec²(θ) dθ.

∫[25 tan²(θ) - 125/cos(θ)] dθ

= ∫[25 u² du - 125/(1 - u²)] (1/u²) du

= ∫ [25 - 125/(u²(1 - u²))] du

= 25u + (125/2) ln |(u - 1)/(u + 1)| + c

Substitute u = tan(θ)

= 25 tan²(θ) + (125/2) ln |(tan(θ) - 1)/(tan(θ) + 1)| + c.

Therefore, the indefinite integral is given by 25x²/25 + (125/2) ln |(x/5 - 1)/(x/5 + 1)| + c.

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Answer:

r < 4/7

Step-by-step explanation:

35r−21<−35r+19

35r + 35r < 19 + 21

70r < 40

r < 40/70 or r < 4/7

Answer:

Area of the square base = 100cm²

Surface area of square pyramid= 380cm²

Step-by-step explanation:

Area of the square base= L × L

= 10cm × 10cm

= 100cm²

The surface area of square pyramid= Area of the base + Area of the triangles forming the pyramid.

= 100cm² + 280cm²

Let's assume that the sides of the rectangle are labeled as follows: the given side is x cm, and the other side is y cm. The area of the rectangle is given by A = xy.

We are given that the other side, y, is increasing at a rate of 4 cm/min. This means that the derivative of y with respect to time is dy/dt = 4 cm/min.

We are asked to find how fast the area is changing at the instant when y = 7 cm. To do this, we need to find the derivative of the area with respect to time:

dA/dt = d(xy)/dt

Using the product rule of differentiation, we can write:

dA/dt = x(dy/dt) + y(dx/dt)

Since x is constant, dx/dt = 0.

Substituting in the given values, we get:

dA/dt = x(dy/dt) = x(4 cm/min)

When y = 7 cm, we have x = 10 cm (since we were given that one side is cm). Therefore, at this instant:

dA/dt = 10 cm × (4 cm/min) = 40 cm²/min

So the area of the rectangle is increasing at a rate of 40 cm²/min when y = 7 cm, and the other side is increasing at a rate of 4 cm/min.

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Answer:

$9.75

Step-by-step explanation:

65% of 15 is 9.75

Hope this helps∞<3

Let me know if it right or wrong.

Answer:

$9.75

Step-by-step explanation:

To find the sale price, you multiply the sale percent by the original price.  For this problem, it would be 0.65 * 15, which equals $9.75.

(If you didn't already know, you get the decimal version of a percent by moving the decimal at the end two places to the left.)

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

To create a confidence interval when the sample size (n) is 18, it is essential for the data to meet certain conditions. Here's a summary of the requirements:

1. Distributed normally: The data should follow a normal distribution, which is characterized by a bell-shaped curve. This condition is necessary to apply the central limit theorem and calculate the confidence interval accurately.

2. Accurate: The data should be collected in a reliable and unbiased manner to ensure that the confidence interval reflects the true population parameter.

3. Theoretically determined: The confidence level (e.g., 95% or 99%) should be predetermined, as it affects the width of the interval and helps you understand the degree of certainty about the population parameter.

4. Not spread too wide: The data should have a reasonable amount of variability, as extremely wide ranges can affect the precision of the confidence interval and make it difficult to draw meaningful conclusions.

By meeting these conditions, you can construct a valid and useful confidence interval when working with a sample size of 18.

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Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

Step-by-step explanation:

we know that,

《opposite angle are equal in a rhombus 》

HERE,

one angle =2x

Opposite angle =3x-40

According to the question,

\(\tt{ 2x=3x-40 }\)

\(\tt{3x=2x+40 }\)

\(\tt{3x-2x=40 }\)

\(\tt{ x=40 }\)

#quality answer

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

In this given rhombus,

we know that

\(\boxed{\sf{opposite~ angle~ are~ equal ~in~ a~ rhombus }}\)

According to the question,

Therefore.

The value of x In the given rhombus is 40°

Answer:

y=27

x=18

Step-by-step explanation:

x-games won

y-games lost

x+y=45

3x=2y

x=45-y

3(45-y)=2y

135-3y=2y

135=3y+2y

135=5y

y=27

x=(45-27)

x=18

Answer:

10

Step-by-step explanation:

First step is to get rid of the 5 on the left side of the equation.  To do this, subtract 5 from both sides like this:

m/5 + 5 - 5 = 7 - 5

The 5s on the left side add to zero so you're left with m/5 + 0.

The right side now is 7 - 5 or 2.

So m/5 = 2.  Now multiply both sides by 5 to get rid of the denominator 5 on the left side.

5 x m/5 = 2 x 5

On the left, 5 divided by 5 is 1 so you now have just m.

On the right you have 2 x 5 or 10

So m = 10

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

A=3

B=15

Step-by-step explanation:

Since these are equivalent ratios, there is a constant scale factor for each number. As shown in the 8 and 24, we find the scale factor to be 24/8=3. This means that the second ratio's numbers are 3x bigger than the  corresponding ones in the first ratio. A = 9/3 = 3, and B = 5*3=15