It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

Answer:

360

Step-by-step explanation:

If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Answer:

Step-by-step explanation:

2.6 ÷ 2 = 1.3

Answer:

Step-by-step explanation:

Draw a horizontal line at the end of the 8 meter horizontal line.

Find the area of the horizontal rectangle

L = 8 + 3

W = 2

Area = L*w

Area = 11*2

area = 22 m^2

Now do the vertical rectangle

L = 8

w = 3

Area = L*w

Area = 8 * 3

Area = 24 m^2

Total Area = 24 + 22 = 46 m^2

Answer:

The answer for the length of the rectangle in terms of x is 2x+1=26

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

Answer:

I think A

Step-by-step explanation:

3x5=15-5=10

2×5+5=15

So x = 10

Is the closest

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Answer:

40 grams

Step-by-step explanation:

........................

Answer: 0.10x grams

Step-by-step explanation:

Answer:

can you send a picture please

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

y > 5.5

Step-by-step explanation:

The answer is C

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Plz give me brainliest

sin(x³) + C is the equivalent integral of the function

Given the integral expression below

∫cos(x³)3x²dx

Using the integration by substitution:

let u = x³

du/dx = 3x²

dx = du/3x²

Substitute into the integral expression

∫cos(x³)3x²dx = ∫cos(u)3x²*du/3x²

∫cos(x³)3x²dx = ∫cosudu

∫cos(x³)3x²dx = sinu + C

Substitute the value of u into the expression

∫cos(x³)3x²dx = sin(x³) + C

Hence the equivalent integral of the function is sin(x³) + C

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Answer:

A

Step-by-step explanation:

Find cross-sectional area first:

Area of triangle = 6x4/2

Multiply the cross-sectional area by height which in this case is 9ft so

(6x4/2) x 9

Answer: No. It may change, and other people who need an exact length will not know what that is, so the number of "yourheights" is useless.

Step-by-step explanation:

Answer:

B, 248

Step-by-step explanation:

Out of 45 students in calc and 21 in stats, 14 are repeatedly counted. We can subtract 14 from one group so that this number does not overlap. For example, let us take the calc group:

45-14= 31

31+21 =52 students taking either calc or stats, NOT OVERLAPPED

Everyone else is not taking calc or stats, so 300-52= 248, or B

I hope this helps! :)

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

Answer:

R^2

Step-by-step explanation:

The domain for z =x^2-y^2 is R^2 ,where is the set of all real numbers.

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Answer:

\(k = 0.5\)

Step-by-step explanation:

Given

\((x,y) = (6,3)\)

Required

Determine the constant of variation

Since it is a direct variation, the following relationship exists:

\(y = kx\)

Where k represents the constant.

Substitute 6 for x and 3 for y

\(3 = k * 6\)

\(3 = 6k\)

Make k the subject

\(k = \frac{3}{6}\)

\(k = 0.5\)

Hence, the constant of variation is 0.5

Step-by-step explanation:

the area of a rectangle is

a × b

with a, b being the length and width (in any sequence).

a×b = 800

a = 800/b

the perimeter is

2a + 2b

one side is not needed, so we take one of them off. e.g. we take off one a.

a + 2b need to be a minimum

800/b + 2b

f(b) = 800/b + 2b

the extreme value(s) we find as the zero points of the first derivative.

f'(x) = -800/(b²) + 2 = 0

2 = 800/(b²)

2b² = 800

b² = 400

b = ±20 ft

negative lengths don't make sense, so, 20 ft is the solution.

a×b = 800

a×20 = 800

a = 40 ft

so, the minimum fencing is for

a = 40 ft

b = 20 ft (2 times)

the second a is covered by the barn.

Question:

Which is a true statement based on the box plots below?

Answer:

It is C because the interquartile range is larger than the other one.

Hope This Helps :)

Answer:

sorry didnt mean to answer

edit: it should be around 45

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

32/1 or 32

Step-by-step explanation:

\(\frac{12\\}{1}\)÷\(\frac{3}{8}\)

3*1= 3 (denominator)

12*8= 96 (numerator)

Which would equal 96/3

Simplified: 32/1 or 32

Answer:

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Step-by-step explanation:

fhjjhcnncxfgnnng

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

28 feet

Step-by-step explanation:

area of a square = side times side; the sides are equal

50 = side times side or 50 = side^2

sqroot of 50 = sqroot of side^2

7 feet is about the size of the side of the square so using that information..

2 length + 2 width or 4 side

4 times 7 = 28

the perimeter is 28 feet