The coldest temperature ever recorded on Earth is 135.8°F below 0, recorded
in Antarctica on July 21, 1983. The hottest temperature ever recorded
on Earth is 134°F, recorded in Death Valley, California, on July 10, 1913.
What is the difference between those two temperatures?

Answer:

Step-by-step explanation:

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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Answer:

1. 2,100 sec

2. 2 min and 43 sec

3. 1,470 min

4. 3 weeks, 1 day, 12 hours

5. 60 months

The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.

To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.

Using the formula for mortgage balance, we can find the remaining balance:

Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]

Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).

Substituting the values into the formula, we find:

Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89

The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:

Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11

Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.

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Answer: 13

Step-by-step explanation:

      We will use the order of operations to solve.

Given:

20 ÷ (5 * \(\frac{2}{5}\)) + 3

Multiply:

20 ÷ (\(\frac{10}{5}\)) + 3

Divide:

(20 * \(\frac{5}{10}\)) + 3

\(\frac{100}{10}\)

Add:

10 + 3

13

Answer:

m = 2k/v²

Step-by-step explanation:

K = ½mv²

multiply both sides by 2

2 × k = ² × ½mv²

2k = mv²

divide both sides by (v²)

m = 2k/v²

i hope this helped

The required evaluation of the given expression is 0.

In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches a particular value. In other words, the limit of a function is the value that the function "approaches" as the input values become increasingly close to a certain value. For example, the limit of the function f(x) = x² as x approaches 0 is 0, because no matter how close x gets to 0, the output of the function f(x) will never actually be 0.

The RHS of the equation simplifies to 1 + 0 - e0. So, lim x → 0 1 − cos(3x) 1 + 3x − e3x = 1 - 1 - 0 = 0.

We can also use a series expansion to evaluate the limit. Let f(x) = 1 − cos(3x) 1 + 3x − e3x. Then, the Maclaurin series expansion of f(x) is:

f(x) = 1 - (1 - 3x²/2 + 9x⁴/24 - ...) + (3x - 3x²/2 + 3x³/6 - ...) - (1 - 3x + 9x²/2 - 27x³/6 + ...).

By rearranging terms, we can find the coefficients of x^n in the series expansion of f(x) as follows:

f(x) = 0 - 3x²/2 + 9x⁴/24 - 27x⁶/720 + ...

Taking the limit as x approaches 0 of both sides of the equation, we get lim x → 0 1 − cos(3x) 1 + 3x − e3x = 0.

Therefore, both of these methods yield the same result of 0.

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When using y to predict x, the correlation will also be r = 0.4.

How do you explain correlation?

Correlation is a statistical technique that aids in the analysis of a relationship between two C. Correlation explains how two variables are related, such as height and weight, age and income, or studying and grades.

Correlation may be positive, negative, or zero. Positive correlation indicates that both variables increase or decrease together. Negative correlation, on the other hand, indicates that one variable increases while the other decreases.

How you predict the correlation is 0.4?

When using y to predict x, the correlation will be the same as when using x to predict y, i.e., r = 0.4.So the correlation is 0.4 when we use y to predict x.

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Everything you answered so far looks good. Nice work.

For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.

Through trial and error, the two numbers we're after are 3 and -1

3 times -1 = -3

3 plus -1 = 2

We break up the 2x into 3x - 1x and factor like so...

3x^2 + 2x - 1

3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x

(3x^2+3x) + (-1x-1) ... pair up terms

3x(x+1) - 1(x+1) .... factor each parenthesis group

(3x-1)(x+1) ... pull out the gcf (x+1)

You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.

Answer:

Step-by-step explanation:

Answer:

-5 or -3

Step-by-step explanation:

correct me if im wrong

PLEASE GIVE ME BRAINLEST I WORK HARD

Answer:

-3

Plzzzzz give me Brainliest!!!!!

● < P=R " angles opp =sides"

●PQ =QR " Angles opposite = sides"

therefore PQR is an isosceles " 2 opp angles and sides are equal "

The center of the circle is at (6, 5), and the radius is 7 units. The equation of the circle in standard form is (x - 6)² + (y - 5)² = 49.

To identify the center and radius of the circle with the given equation x²+ y² - 12x - 10y = -12, we need to rewrite the equation in standard form.

Start by rearranging the terms:

x² - 12x + y² - 10y = -12

Complete the square for the x-terms by adding and subtracting the square of half the x-coefficient (-12/2 = -6):

(x² - 12x + 36) + (y² - 10y) = -12 + 36

Now complete the square for the y-terms by adding and subtracting the square of half the y-coefficient (-10/2 = -5):

(x² - 12x + 36) + (y² - 10y + 25) = -12 + 36 + 25

Simplify:

(x - 6)² + (y - 5)² = 49

Now we have the equation in standard form: (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

Comparing this with our equation, we can determine that the center of the circle is at the point (6, 5) and the radius is \(\sqrt{49} = 7\).

Therefore, the center of the circle is (6, 5) and the radius is 7.

To visualize the graph of the circle, plot the center (6, 5) and draw a circle with a radius of 7 units around it.

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Answer: 44º

Step-by-step explanation:

Hi there! To start out, disregard Y and Z, as they are just there to trip you up.

Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!

82+54+X=180

Then, add the whole numbers!

136+X=180

Then isolate X by using inverse operations!

136+X-136=180-136

Then your answer is there!

X=44

If you have any follow up questions, please let me know! Have a nice day

Answer:

102

Step-by-step explanation:

x = 180 - (4x - 2) - 78

x = 180 - 4x + 2 -78

5x = 180 + 2 - 78

5x = 104

x = \(20\frac{4}{5}\).

So, angle UTW is 4 *  \(20\frac{4}{5}\) - 2 +  \(20\frac{4}{5}\) = 5 *  \(20\frac{4}{5}\) - 2 = 104 - 2 = 102

Answer:

3

Step-by-step explanation:

\(2\sqrt{2} (3/(\sqrt{2} +\sqrt{2} ))\\(2\sqrt{2} *3)/(2\sqrt{2} )\\3/1\\3\)

for future problems use symbolab or wolframalpha

they give answers more accurately and quicker

On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.

Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.

So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.

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Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

Answer:

ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side

Step-by-step explanation:

per annum, namely compound interest with an APR of 5%.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$15000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}\)

\(A=15000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=15000(1.05)^3\implies A=17364.375 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{the interest earned is simply}}{17364.375 - 15000}\implies 2364.375\)

Answer:

\(x=1\)

\(x=-1\)

Step-by-step explanation:

 Let's use the quadratic formula to solve this.

  Quadratic formula is usually defined as the formula for determining the   roots of a quadratic equation from its coefficient. Quadratic equations are  equations containing a single variable of degree 2. Its general form is ax^2   + bx + c = 0, where x is the variable, and a,b, and c are constants (a ≠ 0).

_______

     1 ) move terms to the left side

                                \(x^2=1\)

                            \(x^2-1=0\)

        2) Use the quadratic formula

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

       Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

     \(x^2-1=0\)

        \(a =1 \\b = 0\\c=-1\)

      \(x=\frac{-0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

    3) Simplify

 - evaluate the exponent

\(x=\frac{0\pm\sqrt{0^2-4*1(-1)} }{2*1}\)

\(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\)

 -   Multiply the numbers

 \(x=\frac{0\pm\sqrt{0-4*1(-1)} }{2*1}\\\)

\(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

- add the numbers

     \(x=\frac{0\pm\sqrt{0+4} }{2*1}\)

    \(x=\frac{0\pm\sqrt{4} }{2*1}\)

-  Evaluate the square root

 \(x=\frac{0\pm\sqrt{4} }{2*1}\)

\(x=\frac{0\pm2}{2*1}\)

- add zero

 \(x=\frac{0\pm2}{2*1}\)

  \(x=\frac{\pm2}{2*1}\)

-  Multiply the numbers

 \(x=\frac{\pm2}{2*1}\)

 \(x=\frac{\pm2}{2}\)

   4) separate the equations

  -  To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

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

          5) solve

 - Rearrange and isolate the variable to find each solution

    \(x=1\\x=-1\)        

___________

\(x=1\\x=-1\)

It will take 12.5 minutes by the printer to use all 100 sheets of paper as the function is p(t) = -8t + 100 where p is the number of sheets left after t minutes of printing.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets. Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

p(t)=-8t+100

Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function .When all the 100 sheets printed , then the number of sheets will left to print =0.

Substitute p(t)=0 in the given function, to find the value of t,

0=-8t+100

8t=100

t=12.5 minutes

The function is p(t) = -8t + 100, where p is the number of sheets left after t minutes of printing, and it will take the printer 12.5 minutes to use all 100 sheets of paper.

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The ordered pair that is a reflection over the x-axis for the point shown include the following: B. (-7, 3)

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

Next, we would apply a reflection over or across the x-axis to the point;

(x, y)                →      (x, -y)

(-7, -3)                →      (-7, -(-3)) = (-7, 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Answer:

9 hours

Step-by-step explanation:

The time taken is inversely proportional to the number of men; if M = number of men and D = number of days this can be expressed as
\(D \displaystyle \propto } \dfrac{1}{M}\\\\\text{which can be expressed as an equation: }\\\\D = k \cdot \dfrac{1}{M}\\\\or\\\\D = \dfrac{k}{M}\\\\\)

k is known as the constant of proportionality which can be expressed as

\(k = D\cdot M\)

Inversely proportional means:
As the number of men increases, the time taken decreases

As the number of men decreases, the time taken  increases

We can find k from the given information with M = 3 and D = 6 hours

\(k = 6 \cdot 3 = 18\)

\(\textrm{Therefore, given M= 2, D = $\dfrac{18}{2} = 9$ \;hours}\)

For 2 men it will take 9 hours to repair the road

The missing statements and reasons in the proof are:

R3: Alternate Interior ∠s theorem

S4: Reflexive property

R5: ASA

A proof involves statements that are stated on one column, then followed by reasons that justify the statements stated, on another column.

The missing statements and reasons in the given proof above are explained below:

Statement                                                    Reason                                            

1. Parallelogram ABCD with diagonal AC  1. Given

2. AB║CD and AD║BC                               2. Def. of parallelogram

3. ∠1 ≅ ∠2 and ∠3 ≅ ∠4                             3. Alternate Interior ∠s theorem

4. AC ≅ AC                                                  4. Reflexive property

5. ΔABC ≅ ΔCDA                                       5. ASA

6. AB ≅ CD and AD ≅ BC                          6. CPCTC

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The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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Answer:

.70

Step-by-step explanation:

Always move 2 places to the left when you are converting a percent into a decimal.

Answer:

0.7

Step-by-step explanation:

To make a decimal a percentage you have to multiply by 100. So if you do the opposite, (make the percentage a decimal) you divide by 100

So, 70÷100= 0.7