What is the average rate of change in temperature from February to May?

What Is The Average Rate Of Change In Temperature From February To May?

Answers

Answer 1

Answer:

27 degrees

Step-by-step explanation:


Related Questions

5
364,860
0/1 point
Camila has finally found a house she adores! The cost of the home is $210,000, which she intends to purchase on a 30-year fixed mortgage. Blinded by her adoration for the
property, she has agreed to a 5.5% interest rate. Round all answers to the nearest cent.
How much will Camila pay in interest over the lifetime of the mortgage?

Answers

The total interest on the mortgage loan  is $219,249.60

What is a mortgage loan?

It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.

Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.

PV=monthly repayment*(1-(1+r)^-N/r

PV=loan amount=$210,000

monthly repayment=unknown(assume it is X)

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly payments in 30 years=30*12=360

$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333

$210,000=X*(1-0.19277525234572900)/0.00458333333333333

$210,000=X*0.80722474765427100/0.00458333333333333

$210,000=X*176.12176312456800000

X=$210,000/176.12176312456800000

X=monthly payment=$1,192.36

total repayments(360 months)=$1,192.36*360

total repayments(360 months)=$429,249.60

Total interest=total repayments(360 months)-loan amount

Total interest=$429,249.60-$210,000

Total interest=$219,249.60

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Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²

Answers

The choice which is equivalent is  [tex]6x^2\sqrt{3}[/tex] option B

How to determine the value

We have that;

[tex]\sqrt{6x^2} * \sqrt{18x^2}[/tex] where [tex]x\geq 0[/tex]

First, we factorize the square root

= [tex]\sqrt{2 * 3 * x^2 } . \sqrt{3 * 3 * 2 * x^2}[/tex]

Find the common factors

= [tex]2 * 3 x^2\sqrt{3}[/tex]

= [tex]6x^2\sqrt{3}[/tex]

Thus, the choice which is equivalent is  [tex]6x^2\sqrt{3}[/tex] option B

The complete question is;

Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²

a. [tex]6\sqrt{3x}[/tex]

b. [tex]6x^2\sqrt{3}[/tex]

c. [tex]6\sqrt{18x}[/tex]

d. [tex]\sqrt{108x^2}[/tex]

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Select the graph that best represents the inequality above.​

Answers

Answer: B

Step-by-step explanation: Since x is less than 7, the graph would be all real numbers that are less than 7, so the arrow would be on the left.

Also, since x is not 7 itself (not less than or equal to), the dot cannot be a full dot. Thus, the dot must be open (or curved in some textbooks) to indicate x is not apart of 7 but less than 7.

Hope this helped!

What is the absolute value of –6? Use the number line to help answer the question.

Answers

Answer:

6

Step-by-step explanation:

Absolute value is a number's distance from 0, another way to think of it is that it makes any number positive, so |-6|, the absolute value of -6 would be 6.

Answer:

6

Step-by-step explanation:

The absolute value is always positive, since it's the number's distance from zero.

Thus, the absolute value of -6 is 6.

Done !!

Which graph best represents the solution to the system of equations shown below? y = -2x + 14 y = 2x + 2 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answers

The graph whuch best represents the solution to the system of equations is; A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

What is the graphical solution of the system big equations?

As an alternative, solving the system of equations algebraically, we have;

-2x +14 = 2x +2

x = 3 and by substitution;

y = 8.

On this note, the point (3,8) is a solution of the graph and hence, the answer choice with two lines intersecting at (3,8) is correct.

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F(x) =5^2x find the derivative of X

Answers

The derivative of the function [tex]f(x)=5^{2x}[/tex] is [tex]\frac{df}{dx} =2ln5(5^{2x})[/tex]

Finding the derivative of a function

The derivative of a function f(x) is the ratio of the change in f(x) to the change in x

The given function is:

[tex]f(x)=5^{2x}[/tex]

Let u = 2x

Find the derivative of u. That is, du/dx

du/dx = 2

f(x) = 5^u

[tex]\frac{df}{du} =5^ulnu[/tex]

Using the chain rule of derivative

[tex]\frac{df}{dx}=\frac{df}{du} \times\frac{du}{dx}[/tex]

[tex]\frac{df}{dx} =5^uln5 \times 2\\\\\frac{df}{dx} =2ln5(5^{2x})[/tex]

The derivative of the function [tex]f(x)=5^{2x}[/tex] is [tex]\frac{df}{dx} =2ln5(5^{2x})[/tex]

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Consider the following figure:
What is the value of x + y?

Answers

The value of the sum of the angles x + y of the given triangle is; 220°

How to find the angles in a triangle?

We know that the sum of angles in a straight line is equal to 180°. Thus;

∠CFE + ∠OFE = 180

140 + ∠OFE = 180

∠OFE = 180 - 140

∠OFE = 40°

Similarly, we can use the same principle to get;

∠OEF + ∠BEF = 180°

∠OEF + y = 180°

∠OEF = 180 - y

Similarly,

∠AOF + ∠EOF = 180°

x + ∠EOF = 180°

∠EOF = 180 - x

Sum of angles in a triangle is equal to 180°. Thus;

40 + 180 - y + 180 - x = 180

Rearranging gives;

x + y = 180 + 180 + 40 - 180

x + y = 220°

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Please answer the questions below.

Answers

The volumes of the right prisms are listed below:

1 / 9 ft³39 / 512 in³7 / 384 cm³1 / 12 cm³3 / 25 m³3 / 8 yd³What is the volume of the prisms?

In this problem we have six cases of right prisms with rectangular bases, the volume of right prisms (V), in cubic length units, is equal to the product of the area of the base (A), in square length units, and the height (h), in length units. The equation of the volume of the right prism is shown below:

V = w · l · h     (1)

Where:

w - Width of the base, in length units.l - Length of the base, in length units.h - Height of the prism, in length units.

Now we proceed to calculate each volume:

Prism 1 (w = 2 / 3 ft, l = 1 / 3 ft, h = 1 / 2 ft)

V = (2 / 3 ft) · (1 / 3 ft) · (1 / 2 ft)

V = 1 / 9 ft³

Prism 2 (w = 1 / 8 in, l = 3 / 4 in, h = 13 / 16 in)

V = (1 / 8 in) · (3 / 4 in) · (13 / 16 in)

V = 39 / 512 in ³

Prism 3 (w = 7 / 8 cm, l = 1 / 4 cm, h = 1 / 12 cm)

V = (7 / 8 cm) · (1 / 4 cm) · (1 / 12 cm)

V = 7 / 384 cm³

Prism 4 (w = 1 / 7 cm, l = 7 / 8 cm, h = 2 / 3 cm)

V = (1 / 7 cm) · (7 / 8 cm) · (2 / 3 cm)

V = 1 / 12 cm³

Prism 5 (w = 9 / 10 m, l = 2 / 3 m, h = 1 / 5 m)

V = (9 / 10 m) · (2 / 3 m) · (1 / 5 m)

V = 3 / 25 m³

Prism 6 (w = 7 / 8 yd, l = 6 / 7 yd, h = 1 / 2 yd)

V = (7 / 8 yd) · (6 / 7 yd) · (1 / 2 yd)

V = 3 / 8 yd³

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Given the volume is 105 inches³ for an 8 pound bowling ball, find the radius of the bowling ball,
to the nearest hundredth of an inch.

Answers

Answer:

2.92

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}} \\ \\ r \approx 2.92[/tex]

A ______ function is a specific type of function that represents the relationship between two variables, usually x and y. The graph of this function is a line.the answer choices are
dependent
independent
parallel
slope
perpendicular
rate
scale
y
change
linear

Answers

Answer:

dependent

Step-by-step explanation:

because when x decreases y has to also decrease, so they are dependent on eachother

Write an equation for a line perpendicular to y=5x+1 and passing through the points (5,-2)

Answers

__________________________________________________________

[tex]\text{\textbf{Hello!} In this question, we are trying to find the equation of a line}\\\text{that is \underline{perpendicular} to our given equation}[/tex]
__________________________________________________________


[tex]\textbf{Explanation:}\\\\\text{To help us answer our question, we need to note some of our given info:}\\\\\text{Equation: y = 5x + 1}\\\\\text{Point passed through: (5, -2)}\\\\\text{We can use the above information to help us find our perpendicular equation.}\\\\\text{We will be using the slope-intercept form equation to help get us our answer:}\\\\\text{y = mx + b}[/tex]

[tex]\text{When a line is perpendicular to an equation, it means that its slope is }\\\text{\textbf{opposite} which results in the lines to meet at a \underline{90-degree} angle.}[/tex]
__________________________________________________________

[tex]\textbf{Solve:}\\\\\text{To get our perpendicular slope, we will use the formula:}\\\\\text{m1 = }-\frac{1}{m2}\\\\\text{m1 will be our given slope (5) and m2 will be our already provided slope. }\\\\\text{This is also known as a \underline{negative reciprocal}. }\\\\\text{Therefore: m1 = }-\frac{1}{5}\\\\\text{Since we now know our slope, we can plug it into our "m" variable in the}\\\text{slope intercept equation:}\\\\\text{y = }-\frac{1}{5}x+b\\[/tex]

[tex]\text{To find where the point is on the y-intercept, we will plug in our point}\\\text{(5, -2) to it's corresponding spots in our new equation above.}\\\\\text{Plug "5" to x and "-2" to y and solve:}\\\\\text{-2 = }-\frac{1}{5}(5)+b\\\\\text{-2 = }-1+b\\\\\text{Add 1 to both sides.}\\\\\text{-1 = }b\\\\\text{Therefore, our y-intercept is -1.}[/tex]
[tex]\text{When we plug -1 into our new equation, we get:}\\\\\text{y = }-\frac{1}{5}x-1\\\\\text{Therefore, our perpendicular equation is: }\boxed{y = -\frac{1}{5}x-1}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\boxed{y = -\frac{1}{5}x-1}[/tex]
__________________________________________________________

[tex]\textbf{Additional Info:}\\\\\text{You can learn more about \textbf{slope-intercept form} below:}[/tex]
https://brainly.com/question/27985430
__________________________________________________________

solve the inequality
x-2>15

Answers

Answer:

Inequality Form: x > 17

Interval Notation: (17, ∞)

If f(x) =2ײ+2 and g(x) =x² -1, find (f-g) (x)

Answers

Answer:

[tex]\boxed {(f-g)(x) = x^{2}+3}[/tex]

Step-by-step explanation:

Given :

f(x) = 2x² + 2g(x) = x² - 1

Now, this problem can be used using a simple formula.

[tex]\fbox {(f - g)(x) = f(x) - g(x)}[/tex]

Let's solve.

(f - g)(x) = 2x² + 2 - (x² - 1)(f - g)(x) = 2x² - x² + 2 + 1(f - g)(x) = x² + 3

∴ The answer will be x² + 3.

Party trays which cost $14 to make not including labor are sold for $35 if two people work eight hour shifts making the tray at seven dollars per hour how many trays must be sold to cover the cost including the labor?

Answers

Approximately 5 number of trays must be sold to cover all costs including labor.

How to find the work proportion?

The profit on each tray that was sold excluding labor cost is;

Profit = $35-$14

Profit = $21

Total labor cost for making party tray for a day is;

Total Labor Cost = Total labor hours * wages per hour * No. of labors

Total Labor cost = $7 * $8*2

Total Labor Cost = $112

Number of trays that must be sold to cover cost  is;

Total labor cost/ Profit per tray

Number of trays = $112/$21

= 5.33

Approximately 5 trays must be sold to cover all costs including labor.

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if the graph of f(x)=x^2 how will the graph be affected if the coefficient of x^2 is change to 1/3

Answers

The graph would be affected by horizontally stretching the curve of f(x) = x^2 when the coefficient is changed

How to determine the change?

The function is given as:

f(x) = x^2

When the coefficient of x^2 changes to 1/3, we have:

f(x) = 1/3x^2

The above represents a stretch of the function

This means that the graph would be affected by horizontally stretching the curve of f(x) = x^2 when the coefficient is changed

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The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete
parts (a) through (d) below

Answers

There does not appear to be a linear relationship between the high school girls' height and their IQ scores.

How to determine the scatter plot

The complete question is added as an attachment

To plot the scatter plot, we make use of the following representations:

Height is plotted on the x axisIQR is plotted on the y axis

Next, we enter the values in a graphing calculator.

From the summary on the graphing calculator, we can conclude that the scatter plot is (c)

The sample correlation coefficient

To determine the sample correlation coefficient, we make use of the following representations:

Height is plotted on the x axisIQR is plotted on the y axis

Next, we enter the values in a graphing calculator.

From the graphing calculator, we have the following summary:

X Values

∑ = 501Mean = 62.625∑(X - Mx)2 = SSx = 107.875

Y Values

∑ = 834Mean = 104.25∑(Y - My)2 = SSy = 813.5

X and Y Combined

N = 8∑(X - Mx)(Y - My) = -19.25

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -19.25 / √((107.875)(813.5))

r = -0.065

Hence, the sample correlation coefficient is -0.065

Interpret the sample correlation coefficient

In (b), we have:

r = -0.065

This means that there is a negative correlation

i.e. There does not appear to be a linear relationship between the high school girls' height and their IQ scores.

The critical correlation coefficient

To do this, we have:

Number of pairs, n = 8

Significance level =0.01

Using a graphing calculator;

At 0.01 significance level, the critical correlation coefficient is 0.7887

0.7887 is greater than 0.01

This means that we accept the null hypothesis.

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please help asap
thank you very much

Answers

Answer:

x=30,y=165,z=5

Step-by-step explanation:

check it bro

need help asap. i keep getting these wrong

Answers

4x - 10 = 7 - 2x (given)

6x - 10 = 7 (addition property of equality)

6x = 17 (addition property of equality)

x = 17/6 (division property of equality)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the equation:

4x - 10 = 7 - 2x (given)

6x - 10 = 7 (addition property of equality)

6x = 17 (addition property of equality)

x = 17/6 (division property of equality)

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Find two positive numbers whose difference is 5 and the
sum whose squares is 557.

Answers

Answer: 19 and 14

Step-by-step explanation:

19^2+14^2= 557


What I did to start it is I tried 20 and 15 because I know the square roots of those and once I added them I saw that their sum was too big, so then I tried 19 and 14 because 19-14 is 5. It was really just guess and check :)

John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division II national championship meet, where they both have a good shot at earning a medal in the men’s 100-meter freestyle event. The coach feels that Chris is not as consistent as John, even though they clock about the same average time. In order to determine if the coach’s concern is valid, you clock their time in the last 9 runs and compute a standard deviation of 0.93 seconds for John and 1.08 seconds for Chris. It is fair to assume that clock time is normally distributed for both John and Chris. Let the clock time by John and Chris represent population 1 and population 2, respectively.

Calculate the value of the test statistic.

Answers

The value of the text statistic. F  is given as : 0.742 See explanation below.

What is a test statistic?

A test statistic is a numerical value determined by a statistical test.

It quantifies the distance between your observed data and the null hypothesis of no link between variables or no difference between sample groups.

What is the solution to the answer above?

Test Statistic F is given by:

= σ²₁/σ²₂

= 0.93²/1.08²

= (0.93/1.08)²

= 0.8611²

= 0.742

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The graphs of f(x) = 5* and its translation, g(x), are
shown on the graph.
30 1x
30 25 20 15 10 f
goxx)
40
f(x)
-6-5-4-3-2-15-
(1,5)
(0
(2,25)
(2, 15)
2 3 4 5
(1.-5)
-10-0.9)
-15-
-20
-25
30
X
What is the equation of g(x)?
Og(x) = 5x-9
Og(x) = 5x-10
Og(x) = 5-9
Og(x) = 5-10

Answers

g(x) is just a translation of 10 units downwards, this means that the equation for g(x) is:

[tex]g(x) = f(x) - 10 = 5^x - 10[/tex]

Which is the equation of the translation?

Here we know that:

[tex]f(x) = 5^x[/tex]

And we want to find the equation for g(x), which is a translation of f(x).

If you look at the graph of f(x), you can see that it passes through:

(0, 1), (1, 5), (2, 25), etc.

And the graph of g(x) passes through:

(0, -9), (1, -5), (2, 15)

So in each point, the y-component is 10 units smaller than the correspondent for f(x).

Then g(x) is just a translation of 10 units downwards, this means that the equation for g(x) is:

[tex]g(x) = f(x) - 10 = 5^x - 10[/tex]

So the correct option is the last one.

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If h(x)=1/2x-5 and f(x)=3h(x)+4 then which of the following is the value of f(4)

Answers

Answer: -5

Step-by-step explanation:

[tex]h(4)=\frac{1}{2}(4)-5=-3\\\\f(4)=3h(4)+4=3(-3)+4=-5[/tex]

Solve the following system of equations.
{y=x−5
−x−3y=7
Write your answer as an ordered pair in the form (x,y).

Answers

Answer:

(2,-3)

Step-by-step explanation:

I am not sure if you meant the first equation to be y or -y.  I solved it as y.

y = x-5                       -x -3y =7

I am going to take the second equation and write it as x =

-x - 3y = 7  Give equation

-x = 3y +7   Add 3y to both sides

x = -3y-7  Multiplied each term in the equation by -1 so that x could be positive

I am going to substitute -3y-7 for x in the first equation up above

y = x - 5

y = -3y -7 - 5  Substitute -3y-7 for x

y = -3y -12  Combined -7-5

4y = -12  Added 3y to both sides

y = -3  Divided both sides by 4.

I now know that y is -3, I will plug that into x = -3y-7 to solve for x

x = -3(-3) -7

x = 9-7   A negative times a negative is a positive

x = 2

The sum of 12 and one-third of n
Is 1 morethan twice
n. Expres
the statement in the form an equation

Answers

Answer:

(12 + n/3) = 2n + 1

Step-by-step explanation:

(12 + n/3) = 2n + 1

36 + n = 6n + 3

33 = 5n

n = 33/5

Which of these numbers is in the solution set of x-15=5?

Answers

Answer:

x=20

Step-by-step explanation:

x-15=5

x=5+15

x=20

Find the equation of the line

Answers

Answer:

Step-by-step explanation:

hello :

Solut i on :

1) A line that passes through A(0, -6 ) andB (8 ,- -8)

Hello : let A(0,-6) B(8,-8)

the slope is : (YB - YA)/(XB -XA)

(-8+6)/(8-0) = -2/8=-1/4

an equation is : y=ax+b a is a slope

y = (-1/4)x +b

the line through point A (0;-6) : -6 = (-1/4)(0)+b

b = -6            the equation is : y =(-1/)4x-6

Plot the complex number.
18i

Answers

The point has a real part of 0 and an imaginary part of 18, and thus corresponds to the point (0,18) in the complex plane.

Pls answer quick I rly need this.

Answers

Linking each equation with its equivalent equation below:

5 + 9x - 7 - 4x - 3x + 6 ≡ 2x + 4x + 8 + 4x - 3x - 4 ≡  2x + 46x - 9 5x + 4 - x + 5x + 5 ≡ 5x3x + 5 - 2x - 5x + 9 + 8x ≡ 4x + 114x + x - 11 - 5x + 25 + 4x ≡ 4x + 11x - 3 + 2x + 3 + 2x  ≡ 5x

Meaning of Equivalent equation

Equivalent equation can be defined as an equation that has the same value with another equation.

Equivalent equation are not directly the same but can be transformed to look like each other.

In conclusion, The equivalent equations have been matched in the list above.

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solve the equation. y/8 = 5
y=?

Answers

Answer:

y = 40

Step-by-step explanation:


y/8 = 5

———————————————————

Multiply both sides by 8:

8y/8 = 5 * 8

———————————————————

Simplify:

y = 40


Hope that helps! :)

Answer:

Y = 40

Step-by-step explanation:

Step 1:

y/8 = 5

Bring 8 to the right side changing its arithmetic sign to multiply.

Step 2:

y = 5 x 8

Now multiply 5 by 8 to get the answer.

Step 3:

y = 40

Therefore, y is equal to 40.

Evaluate function expressions

Answers

Answer:

24

Step-by-step explanation:

1) according to the additional (see the attached picture) f(6)= -6 and g(5)= -5. Then

2) the given experssion can be written:

f(6)-6*g(5)=-6-6*(-5)=-6+30=24.

Other Questions
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