if L(x) =sinx-cosx, then dxy=?​ A. cosx+sinx B. cosx-sinx C. sin²x+cosx D. none​

5.40 km is the distance Bokamoso ride on the way to school

What is speed, distance and time?

Speed is determined by dividing the distance travelled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance travelled.

Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed times time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.

Bokamosa rides at 16 km / hr

To get to school = 45 min

= 45 * 0.75 hour

= 0.3375 hr

Distance = Speed * Time

d = 16 * 0.3375

= 5.40 km

Hence, 5.40 km is the distance Bokamoso ride on the way to school.

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well, the markup is 1,776.33 - 1,315,80 = 461.33.

now, if we take 1315.80(origin amount), what is 461.33 off of it in percentage?

[tex]\begin{array}{ccll} Amount&\%\\ \cline{1-2} 1315.80 & 100\\ 461.33& x \end{array} \implies \cfrac{1315.80}{461.33}~~=~~\cfrac{100}{x} \\\\\\ 1315.8x=46133\implies x=\cfrac{46133}{1315.8}\implies x\approx 35[/tex]

Nuclear waste needs to be safely stored for up to a million years, so the answer is 1 million years.

21 is  the area, measured in square centimeters, of the green shape pictured below.

What is square?

Square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).

the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

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Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

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Therefore, the value of x in the right triangle is 24 cm.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.

Here,

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.

Using the Pythagorean Theorem, we can find the missing length x:

a² + b² = c²

where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.

In this case, a = 7 cm, b = x, and c = 25 cm.

Substituting these values into the Pythagorean Theorem, we get:

7² + x² = 25²

49 + x² = 625

x² = 625 - 49

x² = 576

x = √576

x = 24

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The probability of drawing a vowel, placing it back in the bag, and then drawing a consonant is 0.1875 or 18.75%.

The probability of drawing a vowel from the bag of random letter tiles is 25%. Since the tile is replaced after drawing, the probability of drawing a vowel on the second draw is also 25%.

The probability of drawing a vowel and then a consonant can be calculated by multiplying the probabilities of each event:

P(vowel and consonant) = P(vowel) x P(consonant)

= 0.25 x 0.75

= 0.1875

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Answer:

I apologize, but the statement you provided is incomplete. The numerator of the simplified sum is missing. In order to find the sum of the terms, we need complete information, including the numerator and denominator of the fraction or expression. Please provide the complete statement or equation so that I can assist you accurately.

Answer:

Hm

Step-by-step explanation:

The formula to find the circumference of a circle is:

Circumference = 2πr

Where "r" is the radius of the circle, and "π" (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given value of radius, we get:

Circumference = 2 x π x 6

Circumference = 12π

Circumference ≈ 37.7 cm (rounded to one decimal place)

Therefore, the circumference of a CD that has a radius of 6 centimeters is approximately 37.7 cm.

The absolute maximum value of f(x) is 4.5 and it occurs at x = -0.5, and the absolute minimum value of f(x) is -0.241 and it occurs at x = 0.833

To find the absolute maximum and minimum of the function f(x) = 4x^3 - 2x^2 - 5x + 3, we need to take the derivative of the function and set it equal to zero to find the critical points.

f(x) = 4x^3 - 2x^2 - 5x + 3

f'(x) = 12x^2 - 4x - 5

Setting f'(x) = 0, we get:

12x^2 - 4x - 5 = 0

Using the quadratic formula, we get:

x = -0.5 or x = 0.833

Now we need to check the values of f(x) at the critical points and the endpoints of the interval

f(-0.5) = 4(-0.5)^3 - 2(-0.5)^2 - 5(-0.5) + 3 = 4.5

f(0.833) = 4(0.833)^3 - 2(0.833)^2 - 5(0.833) + 3 = -0.241

So the absolute maximum it occurs at x = -0.5, and the absolute minimum occurs at x = 0.833

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Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

the price per cubic inch for the regular size popcorn is #29.85

You should understand that Price is what a buyer pays to acquire products from a seller.  It takes into account the overall value of the offering, including the value of all raw materials and service that went into making an offering, as well as its markup or margin

The popcorn has 6 faces and the area of the popcorn is given as

Area = LBH

Length

Bredth

Height

Area= 3*5*6 = 90 cm²

Therefore, Price is given as $1.99

This implies that 1.99*90 = $179.1

Therefore the price per inch is 179.1/6 = #29.85

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Step-by-step explanation:

Perimeter is the total of all three sides added together:

  2x^2 + x        +     3x^2 -3       + ?      =  3x^2 + 2      Simplify a bit on the L

     5x^2  + x  -3     + ?  = 3x^2 + 2           subtract 5x^2 from both sides

                  x-3   + ?    = - 2x^2 + 2           subtract x from both sides

                     -3  + ?   = - 2x^2 - x + 2       finally, add 3 to both sides

                            ?  = - 2x^2 -x + 5

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer: To find the median credit score, we need to arrange the three scores in order from lowest to highest:

748, 758, 765

The median is the middle value in this ordered list. Since there are three scores, the median is the second score, which is 758.

Therefore, Christine's median credit score is 758.

Step-by-step explanation:

The integer that represents the change in temperature from morning to afternoon is 18.

The group of counting numbers that can be written without a fractional component includes zero and both positive and negative integers. An integer can, as was already established, be either positive, negative, or zero.

To find the change in temperature from morning to afternoon, we need to subtract the morning temperature from the afternoon temperature:

9.3 F - (-8.7 F) = 9.3 F + 8.7 F = 18 F

Therefore, the integer that represents the change in temperature from morning to afternoon is 18.

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Answer:

center : (-3, -1) radius : 4

Answer:

Option A: The solution is incorrect because the student did not correctly identify the intersection.

Step-by-step explanation:

Solve by elimination method.

5x + 2y = 10; -10x + 2y = 1

Multiply the second equation by -1, then add the equations together.

(5x + 2y = 10)

-1 (-10x + 2y = 1)

Forms:

5x + 2y = 10

10x - 2y = -1

Add these equations to eliminate y.

15x = 9

Then solve 15x = 9 for x:

15x = 9

15/15 = 9/15 (Divide both sides by 15)

x = 3/5

Now that we've found x let's plug it back in to solve for y.

Write down the original equation:

5x + 2y = 10

Substitute 3/5 for x in:

5x + 2y = 10:

5(3/4)+2y=10

2y+3=10

2y+3-3=10+-3

2y=7

2y/2 = 7/2

y = 7/2

x = 3/5 and y = 7/2.

Comparing the identified answers to the one found by the students, it can be concluded that Option A: The solution is incorrect because the student did not correctly identify the intersection.

We have to calculate the surface area of the cylinder.

It has a base diameter of 16 inches and a height of 15 inches.

The surface area will be equal to the sum of the area of the base, the area of the top (that is equal to the area of the base) and the lateral surface.

The area of the base can be calculated as:

   [tex]\text{A}_{\text{b}}=\dfrac{\pi \text{D}^2}{4}[/tex]

[tex]\text{A}_{\text{b}}=\dfrac{3.14\times16^2}{4}[/tex]

[tex]\text{A}_{\text{b}}=\dfrac{3.14\times256}{4}[/tex]

  [tex]\text{A}_{\text{b}}=200.96[/tex]

The lateral surface will be equal to the circumference of the base times the height. We then can calculate it as:

    [tex]\text{A}_\text{l}}=(\pi \text{D})\text{h}[/tex]

[tex]\text{A}_\text{l}}=3.14\times16\times15[/tex]

    [tex]\text{A}_\text{l}}=753.60[/tex]

Then, we can calculate the surface area of the cylinder as:

         [tex]\text{A}=\text{A}_\text{b}}+\text{A}_\text{l}}+\text{A}_\text{l}}[/tex]

[tex]\text{A}=200.96+200.96+753.60[/tex]

             [tex]\text{A}=1155.52[/tex]

Answer: the surface area is 1155.52 in²

Answer:

10 feet

Step-by-step explanation:

Let's start by finding the current area of the deck:

Area = length x width = 20 ft x 10 ft = 200 sq ft

If Ian increases each dimension by the same amount, let's call this amount "x", then the new dimensions of the deck will be:

Length = 20 ft + x

Width = 10 ft + x

The new area of the deck will be:

New Area = (20 ft + x) x (10 ft + x)

We know that Ian wants the new area to be triple the original area of 200 sq ft, so:

New Area = 3 x 200 sq ft

New Area = 600 sq ft

Substituting this into the equation above and solving for "x", we get:

(20 ft + x) x (10 ft + x) = 600 sq ft

200 + 30x + x^2 = 600

x^2 + 30x - 400 = 0

(x + 40) (x - 10) = 0

We discard the negative solution, and we get:

x = 10 ft

Therefore, Ian should increase each dimension by 10 feet to triple the area of his deck.

To confirm, we can check the original area of the deck which is 20 ft x 10 ft = 200 sq ft.

If Ian increases each dimension by 10 feet, the new dimensions of the deck will be 30 ft x 20 ft. The new area of the deck will be 30 ft x 20 ft = 600 sq ft. This is triple the original area of the deck (200 sq ft), which is what we wanted to achieve.

Therefore, increasing each dimension by 10 feet will triple the area of the deck as required.

Ian should increase both the sides by 10 feet each.

This is a simple mathematics problems related to the topic of mensuration.

Firstly we calculate the current area of the deck:

Area of the deck (rectangle) = l x b

Area of the deck (rectangle) = 20 x 10

Area of the deck (rectangle) =  200 square feet

Since Ian wants to triple the area of the deck, the required area is 600 square feet.

We now look at pairs of numbers multiplying which will give us 600:

(1,600) (2,300) (3,200) (4,150) (5,120) (6,100) (8,75) (10,60) (12,50) (15,40) (20,30) (25,24)

Out of the above pairs only one pair fulfils Ian's criteria to increase the length and breadth of the deck by equal measure, i.e., (20,30). So, Ian should increase the length and breadth of his deck by 10 feet each.

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The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.

In statistics, the critical value is a value that is used to determine whether to reject the null hypothesis in a hypothesis test. It is based on the chosen level of significance, which is the maximum probability of making a Type I error (rejecting a true null hypothesis). The critical value is determined by the sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.

To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.

Using a t-distribution table with 21 degrees of freedom (n-1), we find that the critical value for a 99% confidence level is approximately 2.819.

Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).

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Answer:

x = 5

Step-by-step explanation:

given FH is a diameter , then

arc FH = 180°, that is

FG + GH = 180°

103° + GH = 180° ( subtract 103° from both sides )

GH = 77°

the central angle HIG is equal to the arc that subtends it GH , so

∠ HIG = 77°

∠ EIF and ∠ HIG are vertically opposite angles and are congruent , then

∠ EIF = 77°

the arc EF subtends the central angle EIF , so

EF = 77°

the sum of the 3 arcs = 180° , that is

HD + DE + EF = 180

15 + 18x - 2 + 77 = 180

18x + 90 = 180 ( subtract 90 from both sides )

18x = 90 ( divide both sides by 18 )

x = 5

then arc DE = 18x - 2 = 18(5) - 2 = 90 - 2 = 88°

The account has an annual interest rate of 6.80%, compounded continuously.

Interest is the cost associated with the boring money or to return on for lending money it is typically expressed as a percent of the principal amount borrowed or lent and usually the paid periodically over the life of loan interest can also be on from investment such as saving account bonds and the other financial instrument.

The interest rate of the account can be calculated as follows:

Rate = ln(1,698.49/1,051)/(8×ln(1))

Rate = 0.0680 or 6.80%

This means that the account has an annual interest rate of 6.80%, compounded continuously.

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Answer: To make soup for 4 people, Lori needs 1 1/4 cups of milk for every 3/4 cup of broth. Therefore, the ratio of milk to broth is:

(1 1/4 cups milk) / (3/4 cup broth) = (5/4 cups milk) / (3/4 cups broth) = (5/3) cups milk per cup of broth

To make soup for 120 people, Lori needs to multiply the ratio by 30 (120/4) to get the total amount of milk and broth needed:

(5/3 cups milk per cup of broth) * 30 = 50 cups of milk per 30 cups of broth

To convert cups to gallons, we divide by 16 (since there are 16 cups in a gallon):

50/16 = 3.125 gallons of milk

30/16 = 1.875 gallons of broth

Therefore, Lori needs a total of 3.125 + 1.875 = 5 gallons of milk and broth combined.

Step-by-step explanation:

Therefore, the Left Riemann Sum for this function, interval, and number of subintervals is 50.

The top-left corner of these rectangles touched the y=f(x) curve. In other words, the value of f at the subinterval's left endpoint determined the height of the rectangle over that subinterval. This technique is called the left-endpoint estimate because of this.

With left endpoints and n = 5 subintervals, we may use the Left Riemann Sum formula to approximate the area under the curve of f(x) = x2 + 4 over the range [0, 5]:

Left Riemann Sum = ∑[i=1 to n] f(x_i-1) Δx

In this case, a = 0, b = 5, n = 5, and we will use the left endpoints, so:

Δx = (5 - 0)/5 = 1

Using the left endpoints, the subintervals and their left endpoints are:

[0,1],[1,2],[2,3],[3,4],[4,5]

[tex]so,\; x_0 = 0, x_1 = 1, x_2 = 2, x_3 = 3, x_4 = 4.[/tex]

Now we can calculate the Left Riemann Sum:

Left Riemann Sum= [tex]f(x_0)\Delta x + f(x_1)\Deltax + f(x_2)\Deltax + f(x_3)\Deltax + f(x_4)\Deltax[/tex]

= f(0)×1+f(1)×1+f(2)×1+f(3)×1 + f(4)×1

= 4+5+8+13+20

= 50

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The value of cos(7π/6) = -√3/2

Explain values

Values are principles or beliefs that guide our behavior and decision-making. They are deeply ingrained in our personalities and are shaped by our upbringing, culture, and experiences. Values can be ethical, moral, social, or personal and influence how we prioritize our goals and interact with others. Understanding our own values can help us make better choices, build stronger relationships, and lead a more fulfilling life.

According to the given information

The cosine of π/6 is √3/2, so the cosine of 7π/6 is:

cos(7π/6) = -cos(π/6) = -√3/2

Therefore, cos(7π/6) = -√3/2.

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Answer:

-√3/2

Steps:

Rewrite the angle as a sum or difference with its reference angle:cos ([tex]\pi[/tex] + [tex]\frac{\pi }{6}[/tex])

Simplify the expression using the general reduction formula: -([tex]\frac{\pi }{6}[/tex])

Evaluate the expression: -√3/2

Answer:

FV ≈ $5,673.56

Step-by-step explanation:

To calculate the total amount that Matt will have saved after 2 years of saving $225 per month at an annual interest rate of 5%, we can use the formula for the future value of an annuity:

FV = P * (((1 + r/12)^(n*12) - 1) / (r/12))

where:

FV is the future value of the annuity

P is the periodic payment (in this case, $225 per month)

r is the interest rate per year (in this case, 5%)

n is the number of years (in this case, 2)

Substituting the given values, we get:

FV = $225 * (((1 + 0.05/12)^(2*12) - 1) / (0.05/12))

Using a calculator, we get:

FV ≈ $5,673.56

Therefore, after 2 years of saving $225 per month at an annual interest rate of 5%, Matt will have saved approximately $5,673.56.