During the day, the temperature increases 6.8 degrees. Overnight, the temperature decreases 4.2 degrees. What is the overall increase or decrease in temperature

The possible domain of the convergence are b. (-1,3) and c. (-1,3]

Domain of convergence.

In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.

Given,

Here we need to identify in which of the options are domain of convergence.

As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).

So, the possible convergence in the given options are (b) and (c).

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Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

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Answer:

8 / 15 m

Step-by-step explanation:

Red fabric = 1/5

Blue fabric = 1/3

1/5 + 1/3

Lcm = 15

1/5 + 1/3 = (3 + 5) / 15 = 8 / 15

Answer:

should be 3.07 (when rounded to the nearest  hundredth)

Step-by-step explanation:

Answer: $3.08 per pound of strawberries.

Unit price is 3.08/1

Step-by-step explanation: The unit price is how much 1 point of strawberries cost.

To find the unit price divide 20 by 6.5.

20/6.5 = about $3.08.

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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The measure of the inscribed angle G in the circle is 85 degree.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

Since the circle equals 360 degrees, we can determine the intercepted arc DF.

Hence:

Arc DF = 360 - ( 70 + 120 )

Arc DF = 360 - 190

Arc DF = 170°

Now, plug the value into the above formula:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle G = 1/2 × 170°

Inscribed angle G = 85°

Therefore, angle G has a measure of 85 degree.

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To find the inverse of the function f(x) = 7x - 5, we need to solve for x in terms of y (or f^(-1)(x)). First, let's replace f(x) with y:

Now, we need to solve for x:

1. Add 5 to both sides:

2. Divide both sides by 7:

Now we have the inverse function, f^(-1)(x) = (x + 5) / 7. We can use this to find f^(-1)(18):

The weight of a 35.01-carat diamond in grams and ounces

Information given in the question include

1 carat = 0.2 gram,

1 carat = 3.086 grains,

1 ounce = 437.5 grains.

The conversion of the weight units using the given variables can bbe done as follows

1 carat = 0.2 gram

35.01-carat diamond = ?

cross multiplying gives

1 * ? = 35.01 * 0.2

? = 7.002gram

1 carat = 3.086 grains

35.01-carat diamond = ?

cross multiplying gives

1 * ? = 35.01 * 3.086

? = 108.041 grains

That is 35.01-carat diamond = 108.041 grains

1 ounce = 437.5 grains

? = 108.041 grains

cross multiplying gives

437.5 * ? = 108.041 * 1

? = 108.041 /437.5

? = 0.247 ounces

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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Answer:

x is less than 8

Answer:

The length is 117 ft and the width is 13 ft.

Step-by-step explanation:

From the question itself, we can write down the following equations...

(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)

L = 9W

and

P = 2L + 2W

Now, we substatute the "L" value and get...

P = 2L + 2W

260 = 2(9W) + 2W

260 = 20W

W = 260 / 20

W = 13

Since we know the width we can now find the length by using the very first formula...

L = 9W

L = 9(13)

L = 117

Therefore, the length is 117 ft and the width is 13 ft.

Answer:

4691.74

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 2300(1 + .08/4)^(4 * 9)

   = 2300(1.02)³⁶

   = 2300 * 2.039887

   = 4691.74

Answer:

x = 7/-p

Step-by-step explanation:

-(px - 2) = 9

-px + 2 = 9

-px = 7

x = \(-\frac{7}{p}\)

Answer:

x = -7/p

Step-by-step explanation:

We have:

-(px - 2) = 9

Divide both sides by -1:

px - 2 = -9

Add 2 to both sides:

px = -7

Divide by p:

x = -7/p

p is a real number coefficient, which means it can be any kind of fraction, decimal, or integer as long as it doesn't contain any imaginary part, i.

So, we have x = -7/p.

~ an aesthetics lover

Answer:

Population mean= mu = μ= $102,342

Step-by-step explanation:

Here

Sample size= n= 15

Population mean= mu = μ= $102,342

Population standard deviation = sigma = σ =$21,756

The population mean is given by mu = μ

Both the means , the sample mean and the population mean give the same measure but there is difference in their calculations and usage.

The population mean mu is calculated by using the population size N but the sample mean x bar is calculated using sample size.

In the given question the sample size is given of the students whereas the mean salaries for attorneys in New York City  gives the population mean because the attorneys in New York City contains all the attorneys given in the city. It is not a sample.

The population gives all the members of the group. So here none is missing.

Answer:

the median for points

Step-by-step explanation:

the rest are incorrect

Answer:

They are now dead

Step-by-step explanation:

Jake Paul

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.

Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

me too (help)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes

( Here in this case, Null hypothesis will be Η :μ = 45

And the Alternate Hypoyhesis will be   H, :μ> 45 )

C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.

Here in this case the null hypothesis will be, H₀ : \(\mu _d\) = 0

And the Alternate Hypothesis will be   H, : \(\mu _d\) <0 The commute time after 1 year is more

Answer:

Step-by-step explanation:

The required hypothesis test is that for a single population mean. It wouldn't involve population proportion or difference between two population means. The correct answer choice would be

A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes.

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

cost when 400 miles is driven is $143.

Step-by-step explanation:

Model for cost calculation: C=0.32m + 15

We have to find cost when no. of miles driven is 400.

To find that cost we need to plug 400 in place of m.

C=0.32m + 15

=> c = 0.32*400 + 15

=> c = 128 + 15 = 143

Thus, cost when 400 miles is driven is $143.

Answer:

The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.

Answer:A number is divisible by 2 if it ends in 2, 4, 6, 8 or 0. A number is divisible by 5 if it ends in 5 or 0. A number is divisible by 10 if it ends in a 0.Apr 8, 2018

Answer:SOMEONE PLZZZ ANSWER THIS I NEED THE ANSWER TO!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

-9/2

Step-by-step explanation:

Hope this helped!

y=\(\frac {-9}{2}\)

Answer:

solution given :

\(-\frac {1}{y+5}=-2 \)

here - and - will be cancelled and former

\(\frac {1}{y+5}=2 \)

now doing criss cross multiplication

we get

1=2 (y+5)

opening bracket

1=2y+10

1-10=2 y

y=\(\frac {-9}{2}\)

Answer:

6

Step-by-step explanation:

f(2) = 10-4 = 6

Answer:

\( \sf \: d) \: 6\)

Step-by-step explanation:

Given function,

→ f(x) = 5x - 4

We have to find,

→ The required value of f(2).

Now value of f(2) will be,

→ f(x) = 5x - 4

→ f(2) = 5(2) - 4

→ f(2) = 10 - 4

→ [ f(2) = 6 ]

Therefore, the answer is 6.