Solve the following initial value problems. (Hint: Use a similar idea as in Question 4(d).) dy (a) = 6 — 2 cos(3.0) and y(0) = 10. dar dy (b) = 6 - 2 cos(3.r) and y(7/6) = 10. dar

Answer: ( 2 x 7 ) a + 2

Step-by-step explanation:

Answer:

£2628.80 (might not be correct, but here me out \o/)

Step-by-step explanation:

16 and overs : 18.60

under 16 : 12.80

155 people and 49 are under 16 right

155 - 49 is 106, this is the amount of 16 and overs bought a ticket

then u do 318.60 x 106 = £1971.60

and  £12.80 x 49 = £657.20

then add £657.20 + £1971.60 and u get £2628.80

p.s: again im not 100% sure if its correct :)

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

The solution to the system of equations is x = 1 and y = 0.

To solve the system of equations using elimination, we can start by multiplying the first equation by 2 to make the coefficients of x in both equations equal.

1) Multiply the first equation by 2:

  4x + 6y = 8

2) Now, we can subtract the second equation from the modified first equation to eliminate the variable x:

  (4x + 6y) - (4x + 6y) = 8 - 9

  0 = -1

The result of the subtraction is 0 = -1, which is not a true statement.

This implies that the system of equations is inconsistent and does not have a solution. In other words, the lines represented by the equations do not intersect and are parallel.

Therefore, the given system of equations has no solution.

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Answer:

Concept: Mathematical Comprehensive

General notes:

Answer:

100

Step-by-step explanation:

if the pattern continues it looks like the equation f(x)=10x+1000 so you would need 100 hours to make 2000 dollars

\( \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid

The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.

figure where all points are the same distance from the center, is called sphere.

1-sphere

figure made of all triangles.That figure is called a triangular pyramid.

2-Triangular pyramid

figure with six congruent squares is called a cube.

3-cube

figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.

4-Triangular prism

figure with circular bases is called a cylinder.

5-Cylinder

figure with a rectangle as a base and a triangle for the rest of its bases.

That figure is called a rectangular pyramid.

6-Rectangular pyramid

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The equation of the line passing through (3, 6) and (6, 0) is 2x + y = 12

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

The line passes through (3, 6) and (6, 0). Hence:

y - 6 = [(0 - 6)/(6 - 3)](x - 3)

y - 6 = -2(x - 3)

y = -2x + 12

2x + y = 12

The equation of the line is 2x + y = 12

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Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

\(c = 1.50x + 12\)                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

Answer:

See images

Step-by-step explanation:

When two lines cross, the angles opposite each other are equal (they are called vertical angles--different from how we use the word vertical in other math classes) The angles next to each other add up to 180° (supplementary angles)

All the angles in a triangle add up to 180°

Perpendicular lines makes right angles, those are 90°

When you have parallel lines and another line crossing them, you get 8 angles, but 4 if them are all the same. Subtract the measure from 180 and you have the measure of the other four angles. Look for a Z shape; the angles tucked inside the Z are alternate interior angles and they are equal. The alternate interior angles and their vertical angles are what make up the 4-pack of equal angles.

These are all the rules you need to know to find all 20 of the angles in your question. See images

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]

Based on the histogram shown, of the following, which is closest to the average (arithmetic mean) number of seeds per is option (c) 5.

Explanation: Looking at the histogram, we can see that the bar for 5 seeds has the highest frequency, which means that the number of apples with 5 seeds is the highest. Therefore, it is most likely that the average number of seeds per apple is closest to 5.

Based on the given histogram, we can conclude that the option closest to the average number of seeds per apple is (c) 5.
Based on the histogram shown, the closest average (arithmetic mean) number of seeds per apple is option (b) 4.

To find the average (arithmetic mean) number of seeds per apple from the histogram, follow these steps:

1. Determine the frequency of each number of seeds (how many apples have a certain number of seeds).
2. Multiply each number of seeds by its frequency.
3. Add up the products from step 2.
4. Divide the sum from step 3 by the total number of apples (the sum of frequencies).

Based on the given information and the calculation steps, the closest average (arithmetic mean) number of seeds per apple is 4, which corresponds to option (b).

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Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

slope between (1,1) and (4,4),

m1 = 4-1/4-1 =3/3 =1

slope between (4,-2) and (7,1),

m2= 1+2/7-4 = 3/3 =1

m1=m2

similarly, slope between (1,1) and (4,-2),

m3= -2-1/4-1 = -3/3 =-1

slope between (7,1) and (4,4)

m4= 1-4/7-4 = -3/3 =-1

m3=m4

So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

1. They can divide it up so each person gets 2.25 of a cookie.

2. \(\frac{1}{12}\)

3. \(\frac{3}{5}\)

4. 4.625

5. \(\frac{10}{3}\)

Step-by-step explanation:

1. They can each have 9 ÷ 4 = 2.25 of a cookie

2. So we have 4 • 3 = 12 pieces. \(\frac{1}{12}\)

3. They will get to eat \(\frac{3}{5}\) of a bag.

4. 74 ÷ 16 = 4.625

5. Will and his 2 friends = 3 people \(\frac{10}{3}\)

Answer: (x+8)(x-8)

Step-by-step explanation:

i am going to assume that the 2 in your question is raised so that it reads x to the second power minus 64

(x+8)(x-8)

to check this, using foil it would be x^2 - 8x + 8x -64

You can do the proportion  

1 inch/ 80 miles =x inch/ 1100 miles

1100=80x

11oo divided by 80 equals 13.75

The trip would be about 13.75 inches on the map

Feel free to brainliest :)

Answer:

13.75 inches

Step-by-step explanation:

To find an estimated distance on the map, we can simply create a proportion.

Let X represent the unknown distance in inches on the map.

1100 miles / 80 miles = X inches / 1 inch

Now let's solve for X.

X inches = (1100 miles / 80 miles) * 1 inch

X inches = 13.75 inches

So the approximate travel distance on the map will be 13.75 inches.

The most reasonable range of intervals will depend on the specific characteristics of your data set and the level of granularity you want in your histogram.

The range of data values ​​and the number of data points should be considered when choosing intervals for a histogram to represent your data.

In this particular dataset, the data values ​​range from 22 to 91. You can divide this range into equal intervals. 10, 5, or 2.5 centimeters, depending on the granularity you want in your histogram.

The number of information focuses is generally little at 18 focuses. A great run show of thumb for choosing the number of interims is to require the square root of the number of information focuses.

 In this case, it is approximately 4.24. This can be rounded to 5 or 6 intervals depending on the range selected.

For illustration, in case you select an interim of 10 centimeters, you'll be able to make the taking after the histogram.

20 30 40 50 60 70 80 90

1 shot 1 shot

In this histogram, the first interval contains the values ​​22 and 28, so there is a ball in that interval. The second interval contains the values ​​36, 37, 41, and 54, so there are 4 balls in this interval.

The third interval contains the values ​​57, 58, and 59, so there are 3 balls in this interval. The fourth interval contains the values ​​62, 68, and 76, so there are 3 balls in this interval.

The fifth interval contains the values ​​83, 85, 88, and 89, so there are 4 balls in this interval. The sixth interval contains the values ​​90 and 91, so there are two balls in this interval.

Overall, the most reasonable range of intervals will depend on the specific characteristics of your data set and the level of granularity you want in your histogram.

In general, it is important to choose equally sized intervals to capture a range of data values.  

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When a shape is rotated, it must be rotated through a point.

The rotation from \(ABCD\) to \(A'B'C'D'\) is (d) \(90^o\)

To determine the angle of rotation from \(ABCD\) to \(A'B'C'D'\), we use the following steps

See attachment for illustration.

From the attached image;

Hence, the angle of rotation is D: 90

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The correct answer is option (d), where X is 9 and Y is 3. Option (a), where X is 9 and Y is 6, is incorrect because Y is modified in the third step of the pseudo-code. Option (b), where X is 0, is also incorrect because X is modified in the second step. Option (c), where X is 9 and Y is still 9, is also incorrect because Y is modified in the third step.

The given pseudo-code consists of three steps:

Set Z = X

Set X = Y

Set Y = Y - Z

Using the initial values X = 6, Y = 9, and Z = 0, we can work through each step to determine the final values of X, Y, and Z:

Set Z = X, so Z = 6 and the values are X = 6, Y = 9, and Z = 6.

Set X = Y, so X = 9 and the values are X = 9, Y = 9, and Z = 6.

Set Y = Y - Z, so Y = 3 and the final values are X = 9, Y = 3, and Z = 6.

Therefore, the correct answer is option (d), where X is 9 and Y is 3. Option (a), where X is 9 and Y is 6, is incorrect because Y is modified in the third step of the pseudo-code. Option (b), where X is 0, is also incorrect because X is modified in the second step. Option (c), where X is 9 and Y is still 9, is also incorrect because Y is modified in the third step.

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Answer:

(-2, 2).

Step-by-step explanation:

y = x + 4

y = - 2x - 2

Substitute y = x + 4 in the second equation:

x + 4 = -2x - 2

x + 2x = -2 - 4

3x = -6

x = -2.

Now substitute x = -2 in the first equation:

y = -2 + 4 = 2.

Check the results by substituting for x and y in equation 2:

2 = -2*-2 - 2 = 4 - 2 = 2.  - this checks out.

Answer:

(-2, 2).

Step-by-step explanation:

d

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

a. n-(n - 1) = 1

b. n( n - 1) = n² - n

c. (n - 1) + n = 2n - 1

d. (n - 1) + n = 2n - 1

General Rule for Equation Solving

Given two consecutive numbers , (n - 1) , n

simplifying :

n - (n - 1)

= n -1(n - 1)

= n - n + 1

= 1

multiplying :

n( n -1)

= n² - n

simplifying :

(n-1) + n

= n - 1 + n

= 2n -1

by adding two numbers :

(n - 1) + n

= n -1 + n

= 2n - 1

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

howdy, I THINK it's 27

Step-by-step explanation:

because I searched it up