The temperatures for a
city in Alaska were
recorded at four times
during one day. Write the
temperatures from
warmest to coldest.

Answer choices : -20°Fahrenheit ,14° Fahrenheit,0°Fahrenheit and -15°Fahrenheit. it has to be on a number line



Pls show work !!

Given:

A line DF and its measure 5x + 7. Measure of DE = 7cm and measure of EQ = 4x + 3.

Required:

Find the length of DF?

Explanation;

From figure we can draw conclusion that

So, length of DF

Answer:

Length of DF = 22cm.

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

Answer:

Step-by-step explanation:

5 + 2x = 65

5 + 2x -5 = 65 - 5

2x = 60

\(\frac{2x}{2}\) = \(\frac{60}{2}\)

x = 30

Answer:

-68

Step-by-step explanation:

The each random variable has one and only one variance.

Yes, it is reasonable to say that each random variable has one and only one variance. Variance is a measure of the spread of a random variable's distribution, and is defined as the average of the squared deviations from the mean. Since each random variable has a specific distribution and a specific mean, it will also have a specific variance. Therefore, each random variable has one and only one variance.

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The mass of the decoration and of each passenger car are 200 kg and 550 kg, respectively

The given parameters in the question are

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of each car is 550 kg

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The angle in the capital letter "L" measures 90°, making it a right angle.

A right angle is one that is exactly 90 degrees, or half of a straight angle. There is usually a quarter turn in it. The fundamental geometric forms, rectangle, and square, each have four angles that measure 90 degrees.

When two lines cross, and there is a 90-degree angle between them, the lines are said to be perpendicular. A few examples of 90-degree angles in real life include the angle between the hands of a clock at 3 o'clock, the angles between two neighboring sides of a rectangular door or window, etc.

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The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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If water is being pumped into the trough at 2 cubic feet per minute, then the water level rising (in feet per minute) when h is 1.6 foot deep is 0.1 feet cubic per minute.

Suppose that we have a function y = f(x), and wish to find the rate of change of y with respect to a third variable t, where we do not have y expressed explicitly in terms of t. We use the chain rule in differentiation to find this rate of change in a process called implicit differentiation.

                     dy/dt = dy/dx × dx/dt

If base is equal to the height, by similar triangles:

Volume v = base x height x length/2

                = bhl/2

                = h²12/2

                = 6h².

Therefore,  

dv/dt = 12hdh/dt

         = 2 ft³/min

 Now,

dh/dt = 2/(12h)

when h = 1.6,

dh/dt = 2/(12 × 1.6) ≈ 0.1 ft³/min

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Exponential form is a way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats written as a small number to its upper right.

In the exponential form, the exponent indicates the number of times the base is used as a factor.

For example, in the case of 16 it can be written as 2 × 2 × 2 × 2  = \(2^{4}\), where 2 is the “base” and 4 is the “exponent.

A product in which the factors are identical is called a power of that factor.  The number that is repeated is called the base, and the number of times it repeats is called the exponent, power or degree. And the power that is written on the right upper side are called exponents. when multiplying the numbers having same base and different exponents then the base is kept same and the exponents are added.

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Answer: $310,000

Step-by-step explanation:

In 40 additional years, the amount she made less than her college counterparts was;

= 10,000 * 40

= $400,000

She however made $90,000 more than them as they went to college;

= 400,000 - 90,000

= $310,000

The long-term financial cost was $310,000.

We have obtained a series expansion for the integral 1/(1+x^4).

To obtain a series expansion for the integral of 1/(1+x^4), we can use the method of partial fractions to express the integrand as a sum of simpler fractions. First, we note that the denominator of the integrand can be factored as (1+x^2)(1-x^2i)(1+x^2i), where i is the imaginary unit. Thus, we can write:

1/(1+x^4) = A/(1+x^2) + B/(1-x^2i) + C/(1+x^2i)

To solve for A, B, and C, we can multiply both sides of the equation by the common denominator (1+x^2)(1-x^2i)(1+x^2i) and then equate the coefficients of the terms on both sides. This gives us a system of equations:

A(1-x^2i)(1+x^2i) + B(1+x^2)(1+x^2i) + C(1+x^2)(1-x^2i) = 1

Solving this system of equations, we obtain:

A = 1/4

B = -i/4

C = i/4

Thus, we can write:

1/(1+x^4) = 1/4(1+x^2) - i/4(1-x^2i) + i/4(1+x^2i)

We can now integrate each term using the power series expansion for 1/(1+x^2):

1/(1+x^2) = 1 - x^2 + x^4 - x^6 + ...

Integrating each term and simplifying, we obtain:

∫ 1/(1+x^4) dx = 1/4 arctan(x) + 1/8 ln(1+x^2) + i/8 ln(1-x^2i) - i/8 ln(1+x^2i) + C

where C is the constant of integration.

Therefore, we have obtained a series expansion for the integral 1/(1+x^4).

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The monthly payment required to amortize a loan of $40,000 over 15 years, with an interest rate of 6% per year, and monthly compounding, is approximately $331.13.

To calculate the monthly payment, we can use the formula for the amortization of a loan, which is:

Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of payments.

Given:

Principal amount (P) = $40,000,

Annual interest rate = 6%,

Number of years (n) = 15.

First, we need to convert the annual interest rate to a monthly interest rate. Since interest is compounded monthly, the monthly interest rate (r) is calculated by dividing the annual interest rate by 12 and converting it to a decimal:

Monthly interest rate (r) = 6% / 12 / 100 = 0.005.

Next, we calculate the total number of payments (n) by multiplying the number of years by 12 (since there are 12 months in a year):

Total number of payments (n) = 15 years * 12 months/year = 180.

Now we can plug these values into the formula to calculate the monthly payment:

Monthly Payment = $40,000 * (0.005 * (1 + 0.005)^180) / ((1 + 0.005)^180 - 1).

Using a calculator or spreadsheet, we find that the monthly payment is approximately $331.13.

Therefore, the monthly payment required to amortize the loan of $40,000 over 15 years, with a 6% annual interest rate and monthly compounding, is approximately $331.13.

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What monthly payment is required to amortize a loan of $40,000 over 15 years if interest at the rate of 6%/year is charged on the unpaid balance and interest calculations are made at the end of each month?

Given expression:  \(\frac{9x^2 - 1}{12x^2 - 12x} \div \frac{9x^2 + 12x + 3}{3x^2 - 6x + 3}\) . We can simplify the given expression by multiplying the numerator and denominator of the first fraction by (3x-1) and then factorise. So, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

In the second fraction, we can factorise the quadratic expression in the numerator.

=  \(\frac{9x^2 - 1}{12x^2 - 12x} \cdot \frac{3x^2 - 6x + 3}{9x^2 + 12x + 3}\)

= \(\frac{(3x-1)(3x+1)}{12x(x-1)} \cdot \frac{3(x^2 - 2x + 1)}{3(3x^2 + 4x + 1)}\)

Simplify the expression.

= \(\frac{(3x-1)(x-1)}{4x(x-1)} \cdot \frac{(x-1)^2}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)}{4x} \cdot \frac{(x-1)}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)^2}{4x(3x+1)(x+1)}\) . Thus, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

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There are several examples of relation which is symmetric but neither reflexive nor transitive.

Let A={5,6,7}

Define a relation R on A as R= {(5,6),(6,5)}

Relation R is not reflexive as (5,5),(6,6),(7,7) ∉ R.

Now, as (5,6) ∈R and also (6,5) ∈R, R is symmetric.

⇒(5,6),(6,5)∈R, but (5,5)∉R, Hence R is not transitive.

Hence, relation R is symmetric but not reflexive or transitive.

The relationship between perpendicularity in the set of all straight lines in a plane is one such example. Because;

(1) Since no line may cross itself, the relationship is not reflexive

(2) It follows that M is perpendicular to line L if line L is perpendicular to line M. Thus relationship is thus symmetrical.

(3) If line L is parallel to line M and M is parallel to line N, then L is not parallel to N but || to N, proving that the connection is not transitive.

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Answer:

V = 19.625h

Step-by-step explanation:

Volume of a cylinder V = πr²h

r is the radius

h is the height

Given

r = base/2

r= 5/2

r= 2.5

Substitute into the formula

V = π(2.5)²h

V = 3.14*6.25h

V = 19.625h

hence the required expression is V = 19.625h

Answer:

It is not true

Step-by-step explanation:

-4 is closer to 0 than -5 1/2

The closer the negative number to 0 the bigger it is

Answer:

A function is proportional when the output is equal to the input multiplied by a constant. The number of tires is equal to the number of cars times 4. If there are no cars in the parking lot, then the number of tires is 4 times 0, or 0.

Step-by-step explanation:

As per given data, Jack's total earnings over "n" days: $\(10.00 * n\)

Jill's total earnings over "n" days:\(\frac{ ((2^n - 1) cents)}{100}\).

It seems like Jack earned a fixed amount of $10.00 per day, while Jill's earnings doubled each day. To find out how much Jill earned in total, we can calculate the sum of her earnings over a given period.

Let's assume the period for both Jack and Jill is "n" days.

For Jack, his earnings are constant at $\(10.00\) per day. Therefore, his total earnings over "n" days would be:

Jack's earnings = $\(10.00 * n\)

For Jill, her earnings are doubling each day. We can observe that her earnings form a geometric progression with a common ratio of 2. Her earnings on each day can be calculated using the formula for the sum of a geometric series:

Jill's earnings on day 1 = 1 cent = $0.01 (given)

Jill's earnings on day 2 = 2 cents = $0.02

Jill's earnings on day 3 = 4 cents = $0.04

Jill's earnings on day n = 2^(n-1) cents

Jill's total earnings over "n" days can be calculated using the formula for the sum of a geometric series:

Jill's earnings = (1 cent) + (2 cents) + (4 cents) + ... + (2^(n-1) cents)

= (2^n - 1) cents

To convert Jill's total earnings from cents to dollars, we divide by 100:

Jill's total earnings = \(\frac{((2^n - 1) cents)}{100}\)

So, in summary:

Jack's total earnings over "n" days: $10.00 × n

Jill's total earnings over "n" days:\(\frac{ ((2^n - 1) cents)}{100}\)

Keep in mind that if you have a specific value for "n" (the number of days), you can substitute it into the formulas to calculate the exact earnings for both Jack and Jill.

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The component form of vector p is < -84.76, 48 >

Let's consider that vector p has magnitude |p| = 98 and a direction angle of 330°.

We can find the component form of vector p as follows:

A component form of vector

p = Let's draw the vector diagram for p with the given direction angle:

vector diagram of vector p

We can see from the above vector diagram that:

cos 330° = adjacent side/hypotenuse

=> p₁ / 98 = cos 330°

=> p₁ = 98 cos 330°

sin 330° = opposite side/hypotenuse

=> p₂ / 98 = sin 330°

=> p₂ = 98 sin 330°

Now, let's substitute the values of cos 330° and sin 330°:

p₁ = 98 cos 330° ≈ -84.76p₂ = 98 sin 330° ≈ 48

Therefore, the component form of vector p is < -84.76, 48 > (rounded to two decimal places).

The component form of vector p is < -84.76, 48 >. (approximately 78 words)

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The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.

The general form of the nth term of an arithmetic sequence is

an = a1 + (n - 1)d

Where,

a1 - first term

n - number of terms in the sequence

d - the common difference

The given sequence is an arithmetic sequence.

First term a1 = \(1\frac{1}{2}\) = 3/2

Last term an = \(2\frac{1}{2}\) = 5/2

Common difference d = 1/9

From the general formula,

an = a1 + (n - 1)d

On substituting,

5/2 = 3/2 + (n - 1)1/9

⇒ (n - 1)1/9 = 5/2 - 3/2

⇒ (n - 1)1/9 = 1

⇒ n - 1 = 9

⇒ n = 9 + 1

∴ n = 10

Thus, there are 10 terms in the given arithmetic sequence.

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Disclaimer: The given question in the portal is incorrect. Here is the correct question.

Question: If the first and the last term of an arithmetic progression with a common difference are \(1\frac{1}{2}\), \(2\frac{1}{2}\) and 1/9 respectively, how many terms has the sequence?

Answer:

Hi there!

The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).

The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.  

y=a(x-4)^2-4

We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.

0=a(6-4)^2-4

0=a(2)^2-4

4=4a

a=4/4

a=1

Therefore the equation is y=(x-4)^2-4

Hope this helps!

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

BTW you said 100 pts but there is only 5????

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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(a) Advantage of increasing the number of parameters in a fit: An increase in the number of parameters in a fit leads to an improvement in the goodness of fit as it enables the equation to provide a more accurate description of the behavior of gases.

(b) Number of parameters in a fit is not the only determinant of the goodness of fit as the goodness of fit also depends on the quality of data available for fitting.

(c) In addition to changing the goodness of fit, different equations of state can help in learning the following while fitting gas behavior: Allowance for deviations from ideal behavior: The equation of state can assist in determining the deviation of a gas from ideal behavior. By comparing the predicted pressure, volume, and temperature values with the actual values measured, one can determine if the gas is ideal or has deviated from ideal behavior. Isothermal compressibility: It is a measure of the degree of compression of a gas when its temperature is held constant. By using different equations of state to determine isothermal compressibility, one can determine how easily a gas can be compressed or expanded when its temperature is held constant.

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The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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Answer:

w = 3

The rest doesn't have enough information to complete, (Sorry for previous answer)

Answer:

19 (estimate)

Step-by-step explanation:

Estimate = 79/4 (rounded)

               = 19.75 ≈ 19