PLEASE HELP!!!!!

Solve the equation. Then check your solution.

Answer:

Step-by-step explanation:

o solve the compound inequality, we'll start by solving each inequality separately, and then find the intersection of their solutions.

For the first inequality: 8r - 3 ≥ 7r - 7

Adding 7r to both sides: 8r - 3 + 7r ≥ 7r - 7 + 7r

Combining like terms: 15r - 3 ≥ 14r

Subtracting 14r from both sides: 15r - 14r - 3 ≥ 0

Combining like terms: r - 3 ≥ 0

Adding 3 to both sides: r ≥ 3

For the second inequality: 2r + 4 ≤ r - 3

Subtracting 2r from both sides: 2r + 4 - 2r ≤ r - 3 - 2r

Combining like terms: 4 ≤ -r - 3

Adding r and 3 to both sides: 4 + r + 3 ≤ -r

Combining like terms: 7 ≤ -r

Multiplying both sides by -1: r ≤ -7

The solution to the compound inequality is the intersection of the solutions to each inequality, which is the range of r that satisfies both conditions. So, the solution is 3 ≤ r ≤ -7.

To graph the solution, we can plot the two inequalities on the number line, and shade the region between 3 and -7:

To determine if two shapes are similar, we need to consider two conditions: proportional corresponding sides and equal corresponding angles.

Proportional corresponding sides: For two shapes to be similar, the lengths of their corresponding sides must be proportional. This means that if we take the ratio of the length of one side of the first shape to the length of the corresponding side of the second shape, it should be equal to the ratio of any other pair of corresponding sides.

For example, if the ratio of the lengths of the corresponding sides AB: DE is equal to the ratio of the lengths of the corresponding sides BC: EF, then the shapes are similar.

Equal corresponding angles: In addition to proportional corresponding sides, the corresponding angles of the two shapes must also be equal. This means that if we measure the angles of one shape and their corresponding angles in the other shape, they should have the same measures.

For example, if angle A in the first shape is equal to angle D in the second shape, and angle B is equal to angle E, then the shapes are similar.

For two shapes to be similar, both the corresponding sides must be proportional and the corresponding angles must be equal.

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The 100 feet per second rate at which rocket is rising vertically upwards and the 50 feet distance of the observation position from the launch, indicates;

A) The height of the rocket after exactly 2 seconds is 200 feet

B) The rate of the angular motion at which to scan upwards to keep track of the rocket is 2/17 radians per second

Angular motion is a circular motion of an object about a fixed axis, described in radians per second.

The rate at which the rocket is rising up in the air = 100 feet per second

The horizontal distance from the point of launch to the observer = 50 feet

The time at which the height of the rocket is required = 2 seconds

A) The height of the rocket after 2 seconds, h = 2 s × 100 ft/s = 200 ft

B) The angle of elevation of the line of sight to the rocket = θ

tan(θ) = h/50

sec²(θ)·(dθ/dt) = (1/50)·(dh/dt)

(dθ/dt) = (1/50) × (dh/dt)/sec²(θ)  = (1/50)×(dh/dt)×(cos²(θ))

At time, t = 2 seconds, the height of the rocket = 200 feet

Therefore;

tan(θ) = 200/50 = 4

θ = arctan(4)

dh/dt = The vertical velocity of the rocket = 100 ft/s

(dθ/dt) = (1/50)× 100 ×(cos²(arctan(4))) = 2/17

The rate at which the eyes is scanning upwards is 2/17 radians per second

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The statement "To determine chilling hours for an area, count the cumulative number of hours between November 1st and February 15th that the air temperature is between 32 and 45 degrees F" is true.

In horticulture, chilling hours are the number of hours in which the air temperature is between 32 and 45 degrees Fahrenheit and are commonly used in fruit crop production to determine the required winter rest period. It is calculated between November 1st and February 15th since these months are considered the winter season and are known for their cool temperatures.

Chilling hours are an essential factor in determining the growth, development, and yield of fruit trees, which require a particular amount of chilling hours to flower and bear fruit.

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Answer:23.4$

Step-by-step explanation:

Let \(e^{f(x)}\) be an exponential function, the derivative of this is found by the formula below.

In summary, we multiply the general expression by the derivative of the exponent. Let's apply it and get results.

Answer:

1. 70

2. 54

3. 54

4. 40

Step-by-step explanation:

Answer:

x + y = 4

substitute (-A, 2B) in the equation.

-A + 2B = 4

substitute (3A-2, 3-B) in the equation

3A-2 + 3-B = 4

Use elimination method and hence multiply the first substituted equation by 3

-3A + 6B = 12

3A-2 + 3-B = 4

-2 + 3 + 5B = 16

5B = 15

B = 3

Substitute value of B in any of the equations

and hence A = 2

Answer:

Amount in account after one year = £241.5

Step-by-step explanation:

Given:

Amount deposit into bank = £230

Rate of yearly interest = 5% Simple interest per year

Number of year = 1 year

Find:

Amount in account after one year

Computation:

Simple interest = Amount deposit x Rate of yearly interest x Number of year

Simple interest = 230 x 5% x 1

Simple interest = 230 x 0.05

Simple interest = £11.5

Amount in account after one year = Amount deposit into bank + Simple interest

Amount in account after one year = 230 + 11.5

Amount in account after one year = £241.5

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2.

This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

Let x, y, and z be three real numbers. We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3. This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Therefore, the proof by contrapositive of the statement (in order) is: Let x, y, and z be three real numbers.

We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3.

This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2. This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

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Answer:

To find the slope and y-intercept of the equation 4x - 3y = 12, you can begin by rearranging the terms to put the equation in slope-intercept form, which is y = mx + b:

4x - 3y = 12

-3y = -4x + 12

y = -4/3 x + 4

In this equation, the slope (m) is -4/3 and the y-intercept (b) is 4.

The slope of a line is a measure of its steepness, and it is calculated as the rise (vertical distance) over the run (horizontal distance) between two points on the line. In this case, the slope is -4/3, which means that for every 3 units of horizontal distance, the line rises (or falls) 4 units.

The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is (0, 4), which means that the line crosses the y-axis at the point (0, 4). This is the point where the line would intersect the y-axis if it were extended to the left or right indefinitely.

Answer: The slices you described, a triangle parallel to the base and a rectangle perpendicular to the base, indicate that the three-dimensional shape being sliced is a rectangular prism.

A rectangular prism is a solid geometric figure with six rectangular faces. It has two parallel and congruent rectangular bases and four rectangular lateral faces. When a rectangular prism is sliced parallel to one of its bases, the resulting slice is a rectangle. When it is sliced parallel to one of its lateral faces, the resulting slice is a parallelogram.

Answer:

I dont know because their is no graph angel O stop looking up the answer

Step-by-step explanation:

ITs not A

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

\(841=400+x^2\\\\x^2=441\\\\x=21\)

notice that the 841 and the 400 don't go squared because they already squared!

Answer:

76

Step-by-step explanation:

1. Replace n with 10. The equation will look like:

-5+9(10-1)

2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:

-5+9(9)

3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:

-5+81

4. Now we move on to addition and subtraction; add the two numbers!

-5+81=76

There's your answer!! Hope this helped :)

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

41 litres - 10.83gallons

3.5gallons-13.25 litres

Answer:

None of the given points satisfy the inequality 2x - 3y < 1.

Step-by-step explanation:

To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's consider the given points:

Point A: (1, 0)

2(1) - 3(0) < 1

2 - 0 < 1

2 < 1 (False)

Point B: (-1, -1)

2(-1) - 3(-1) < 1

-2 + 3 < 1

1 < 1 (False)

Point C: (3, -2)

2(3) - 3(-2) < 1

6 + 6 < 1

12 < 1 (False)

None of the given points satisfy the inequality 2x - 3y < 1.

Therefore, none of the points A, B, or C satisfy the inequality.

Answer:

20 Lines

Step-by-step explanation:

According to the Question,

Now,  the total pairs of points which can be formed is 9

And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36

Here, We have overcounted all of the lines which pass through three points.

And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times

Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.

Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

…

....…....…....…

Answer:

A:40%

B:7.8

Step-by-step explanation:

Using a proportion , you can solve for the bottom side.

13/19.5 = 5.2/x

multiply 19.5 and 5.2 and rewrite the equation

101.4=13x

x=7.8

To find the scale, divide 5.2 by 13

5.2/13=0.4

Double check by dividing 7.8 by 19.5

7.8/19.5=0.4

0.4=40%

Answer:

option d

Step-by-step explanation:

root of 29 = 5.39 (rounded)

in the line, point B is closest to that value.

Answer:

8 1/3

Step-by-step explanation:

50/6 =25/3 = 8 1/3  

Also can u pls mark me brainliest im new

To find the intervals of increasing or decreasing for the function f(x)=x^3 −6x^2 +9x+15, we first need to find its derivative:

f'(x) = 3x^2 - 12x + 9

To find the critical points where f'(x) = 0 or is undefined, we set f'(x) = 0 and solve for x:

3x^2 - 12x + 9 = 0

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

So the critical points are x = 1 and x = 3.

Next, we can use the first derivative test to determine the intervals of increasing or decreasing. We evaluate f'(x) at values of x in each interval determined by the critical points:

For x < 1: f'(x) < 0, so f(x) is decreasing

For 1 < x < 3: f'(x) > 0, so f(x) is increasing

For x > 3: f'(x) < 0, so f(x) is decreasing

Therefore, the function f(x) is increasing on the interval (1, 3) and decreasing on the intervals (-∞, 1) and (3, ∞).

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