Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnight and the high and low temperature during the day are 54 and 36 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

x^1= -4, x^2= 12

Step-by-step explanation:

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

33.33%

Step-by-step explanation:

Given that CP for 20dozen = 20×90

= 1800

SP = 20×120

= 2400

Gain % = (Gain / CP) ×100

Gain = SP-CP

So is the selling price

Cp is the cost price

Hence Gain = 2400-1800

Gain = 600

Gain% = 600/1800 ×100/1

= 0.333×100/1

= 33.33%

Hence his percentage gain will be 33.33%

Since the question stated that percentage gain is to be calculated, I believe the sell price should be higher than the cost price. Hence 1.20 Cedis would not work so I used 120 Cedis instead. Thanks

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

x=8 x=16

Step-by-step explanation:

Given function:

Thinks:

Rewrite as:

Thereform, x=8 and x=16.

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

The corresponding probabilities of the random variables x = (0, 1, 2, 3, 4, 5, and 6) are  (0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0)

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . π^r  . q^n-r

Given: n = 4 and π = 0.30, q = 1 - π = 1 - 0.30 = 0.70 and x = (0, 1, 2, 3, 4, 5, 6)

P(x = 0) = 4C0 × 0.3⁰ × 0.7⁴⁻⁰ = 0.2401

P(x = 1) = 4C1 × 0.3¹ × 0.7⁴⁻¹ = 0.4116

P(x = 2) = 4C2 × 0.3² × 0.7⁴⁻² = 0.2646

P(x = 3) = 4C3 × 0.3³ × 0.7⁴⁻³ = 0.0756

P(x = 4) = 4C4 × 0.3⁴ × 0.7⁴⁻⁴ = 0.0081

P(x = 5) = 0

P(x = 6) = 0

Note: P(x = 5) and P(x = 6) are 0 because their x (5 and 6) is greater than the n (4)

Therefore, the probabilities of the random variables x(0, 1, 2, 3, 4, 5, and 6) are  0.2401, 0.4116, 0.2646, 0.0756, 0.0081, 0, and 0 respectively

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Answer:it might be A

Answer:

6.4 laps

Step-by-step explanation:

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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The coordinates of point N that divides the line segment formed joining points M(-6,-3) and P(26,13) in the ratio 3:5, evaluated using section-formula is (14,7)

What is section-formula?

The coordinates of the point that splits a specific line segment into two halves are given by the section formula. The line may be split at the point either internally or externally. Their lengths are divided in a way that keeps them in the m: n ratio.  The ratio in which the line segment is divided and the coordinates of the points connecting it allow us to calculate the coordinates.

According to section-formula:

(x,y) = ( \(\frac{c.m + a. n}{m + n}\) , \(\frac{d.m + b. n}{m + n}\))    {where (x,y)are coordinates of point which divides & (a,b) ; (c,d) are coordinates of points forming line segment.

Given P=(a,b) = (26,13)

M=(c,d) = (-6.-3)

m:n = 3 : 5

N=(x,y) = ?

N=(x,y) = ( \(\frac{c.m + a. n}{m + n}\) , \(\frac{d.m + b. n}{m + n}\))

             = {\(\frac{(-6)(3)+(26)(5)}{3+5}\) ; \(\frac{(-3)(3)+(13)(5)}{3+5}\) }

             ={ \(\frac{-18+130}{8}\) ; \(\frac{-9+65}{8}\) }

             = {\(\frac{112}{8}\)  , \(\frac{56}{8}\)  }

             ={14 , 7}

The coordinates of point N are (14,7) which divides line joining P(26,13) and M(-6,-3) in ratio 3:5.

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Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

Answer:

Woah you're sounding like a teacher, calm down.

Anyways let's answer this...

Step-by-step explanation:

It's going to be in the order:

Decimal, fraction, percentage.

0.2, 1/5, 20%

0.8, 4/5, 80%

0.5, 1/2, 50%

0.75, 3/4, 75%

0.3, 3/10, 30%

0.6, 3/5, 60%

You see the correlation?

If u want me to explain, hmu

hope this helps :)

Answer:

.00035453808

Step-by-step explanation

Answer:

H. \(6x^{7} y^{15}\)

Step-by-step explanation:

The formula for volume is V = (length)(width)(height)

So, the volume is: V = (\(3x^{2}y^{4}\))(\(4x^{2}y^{5}\))(\(\frac{1}{2} x^{3}y^{6}\))

We can multiple the coefficients 3, 4, and 1/2, which is 6

We know that \(x^{a} +x^{b} =x^{a+b}\), so multiplying \(x^{2}\), \(x^{2}\), and \(x^{3}\) will give us \(x^{7}\).

Similarly, multiplying \(y^{4}\), \(y^{5}\) , and  \(y^{6}\) will give us \(y^{15}\).

Altogether, our volume would be \(6x^{7} y^{15}\)

First, write the given situation as a linear equation, as follow:

where C(n) is the money Alex earns per month and n is the number of cars He sells.

We wrote 1,000 because it is the fixed money per month Alex earns and 300n because he earns 300 for each sold car.

In order to determine the number of cars n for a total earnings of $16,000, replace C = 16,000 and solve for n, as follow:

Hence, Alex sold 50 cars in order to earn $16,000 last month

Answer:

3.90

Step-by-step explanation:

5.25-1.35

=3.90

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

7.6,7.45,7.48,7.431,7.504,7.536

this us your answer

Answer:

Least to greatest order:

7.431 < 7.45 < 7.48 < 7.504 < 7.536 < 7.6

Greatest to least order:

7.6 > 7.536 > 7.504 > 7.48 > 7.45 > 7.431

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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The length of the rectangle is 10.5 units.

What is perimeter?

Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:

34 = 2l + 2(6.5)

Simplifying, we get:

34 = 2l + 13

Subtracting 13 from both sides, we get:

21 = 2l

Dividing both sides by 2, we get:

l = 10.5

So the equation to determine the length of the rectangle is:

2l + 2w = P

Substituting the known values, we get:

2l + 2(6.5) = 34

Simplifying and solving for l, we get:

2l + 13 = 34

2l = 21

l = 10.5

Therefore, the length of the rectangle is 10.5 units.

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Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.

Answer:

Yup, 11 is the answer. because 4 -15 is 11.

The area of a trapezium with base 8 top 6 height 4 is 28 cm².

Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.

What is the area of a trapezium?

The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.

We know that area of a trapezium \(=\frac{1}{2}(a+b) \times h\)

Where a and b are parallel sides of a trapezium.

Now, the area of a given trapezium \(=\frac{1}{2}(6+8) \times 4\) cm²

=14×2=28 cm²

Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².

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Answer:

20 pieces of wood

Step-by-step explanation:

5 divided by 1/4: 20

another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.