A helicopter is flying at an altitude of 4,000 feet and starts descending at a rate of 100 feet per minute. What will be the altitude of the plane after 10 minutes?​

Answer:

f(x) = $25 + $75x.

Domain: positive whole numbers.

Range: f(x) ≥ $25

Step-by-step explanation:

Let x denote the total number of tour member, charging $75 per tour member implies $75x.

Therefore, the tour company charges:

f(x) = $25 + $75x

The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."

The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.

Answer:

x=-4

Step-by-step explanation:

First, you would simplify the like terms on both sides of the equation to get   42 + 12x = -8.5x - 40

Second, you would want to add and subtract terms to get the X's on one side, and the whole numbers on the other.

12x + 8.5x = -40-42

Third, simply the terms.

20.5x=-82

Fourth, divide both sides by 20.5 to get the x on its own, and then you will have your answer of x=4.

Conditional statements are statements that use the "if" word.

The correct option is:

B)"If I mean it then I say it" and "If I say it then I mean it." These are converses of each other and don't necessarily have the same truth value.

The statements are given as:

Statement 1: I say what I mean

Statement 2: I mean what I say

None of the statements represent an inverse statement, because one or both statements do not include "not".

This means that options (c) and (d) are incorrect.

From options (a) and (b), we can conclude that both statements are converse of one another.

This is also confirmed with the following proof.

The converse of if statement-1, then statement-2  is: if statement-2, then statement-1

Converse statements may or may not have the same truth value.

i.e. The truth value of the statements is not a condition of converse statements.

This means that option (b) is correct, because it highlighted that :

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Based on the provided information, the number of subjects examined is not explicitly mentioned. However, the given t-value (t(29) = 2.001) suggests that the study involved a sample size of 30 participants, as denoted by the degrees of freedom (df) in parentheses.

The notation t(29) = 2.001 represents a t-test, a statistical test used to determine if there is a significant difference between the means of two groups. In this case, the subscript "29" in t(29) denotes the degrees of freedom (df), which is calculated by subtracting 1 from the sample size. Therefore, df = 30 - 1 = 29.

Since the degrees of freedom are 29, it indicates that the sample size used in the study was 30 participants. The t-value of 2.001 represents the magnitude of the t-statistic, which measures the difference between the means of the two groups being compared.

The critical value for significance is not provided, but the statement "p < 0.05" suggests that the obtained p-value is less than 0.05, indicating statistical significance. However, the exact p-value is not given, so the level of significance cannot be precisely determined.

Overall, the information provided implies that the study involved a sample of 30 subjects, and the t-value and p-value suggest a significant result.

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

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Let's see

\(\\ \rm\rightarrowtail x^2+4x-21\)

\(\\ \rm\rightarrowtail x^2+7x-3x-21\)

\(\\ \rm\rightarrowtail x(x+7)-3(x+7)\)

\(\\ \rm\rightarrowtail (x-3)(x+7)\)

Answer:

Each pair of shoes cost 26$

Step-by-step explanation:

find the total cost for shirts

2 shirts * 12$ each

2 * 12 = 24

they spent 24$ on shirts

create an equation

24$ shirts + x$ shoes = 76$

24 + x = 76

subtract 24 from both sides of the equation

24 + x - 24 = 76 - 24

x = 76 - 24

x = 52

they bought 2 pairs of shoes that cost the same amount

52 = x + x

52 = 2x

divide both sides of the equation

52/2 = 2x/2

52/2 = x

26 = x

each pair of shoes cost 26$

Answer:

IM NOT ABLE SEE THE QUESTION

Step-by-step explanation:

PLEASE TYPE AND SEND IT

Answer:

jwjwjowowowowowoowow

Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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• Given Function A:

You need to remember that, by definition, the value of "y" is zero when the function intersects the x-axis.

Therefore, you need to set up that:

Substitute this value into the function and then solve for "x", in order to find the x-intercept:

• Given that Function B passes through these points:

You need to determine the equation of the line, in order to find the x-intercept using it.

The Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.

By definition, the value of "x" is zero when the function intersects the y-axis. Therefore, knowing the first point given in the exercise (whose x-coordinate is zero), you can determine that, for this line:

Substitute "b" and the coordinates of the second point into this equation:

And then solve for "m":

Therefore, the equation of Function B in Slope-Intercept Form is:

Now you can find the x-intercept by using the procedure used for Function A:

You know that:

Hence, the answer is: Third option.

Answer:

this is just a hint

Step-by-step explanation:

the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.

Answer:

1

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer:

1

Step-by-step explanation:

the y intercept is where the line crosses the y = 0 mark and it crosses it at (1,0) so 1 would be your answer

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

Step-by-step explanation:

His salary after 7 years would be $57000 per year

Answer:

Step-by-step explanation:

the answer for this question would be $57,000.

The point-slope form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing with point (1, -8) and m= -9, we get:

-8 = (-9)(1) + b

-8 = -9 + b

-8 + 9 = b

1 = b

Then, the equation is:

y = -9x + 1

Answer:

-4 —> 4

-3 —> 3

-2 —> 2

-1 —> 1

0 —> 0

1 —> 1

2 —> 2

3 —> 3

4 —> 4

Step-by-step explanation: Absolute value is the positive of the same number. It is the distance from zero, and distance is ALWAYS positive.

To find the linear approximation, we use the formula

:f(x) = f(a) + f'(a) (x-a)

where, a is the point of approximation, and f'(a) is the derivative of the function f(x) at the point a.We have

√6.379 = f(x),

which is the function that we need to approximate.

f(a) = f(6) = √6f'(x) = (1/2) (x^(-1/2))f'(a) = f'(6) = (1/2) (6^(-1/2)) = 1/4√6.379 ≈ f(6) + f'(6) (√6.379 - 6)= √6 + (1/4) (√6.379 - 6) = 2.449625

approximated to 3 decimal places Hence, the value of √6.379 using linear approximation to three decimal places is 2.450.

The given length of a rectangle is increasing at the rate of 5 in./sec while the width is decreasing at the rate of 4 in./sec. We need to find how fast is the area changing at the instant the rectangle is a square each of whose sides is 6 in. We can solve this question using the formula

dA/dt

= (∂A/∂l) dl/dt + (∂A/∂w) dw/dt

We know that when the rectangle is a square each of whose sides is 6 in, then the length and width of the rectangle will be equal,

i.e. l

= w

= 6 in. Hence, A

= lw

= 36 sq

in Differentiating both sides with respect to time t, we get d

A/dt

= 2l (dl/dt) + 2w (dw/dt)Since l

= w

= 6 in,

dl/dt

= 5 in./sec and dw/dt

= -4 in./sec (since the width is decreasing), we have

dA/dt

= 2(6)(5) + 2(6)(-4)

= 12 in²/sec

Therefore, the area is changing at the rate of 12 in²/sec when the rectangle is a square each of whose sides is 6 in.Linear approximation: Linear approximation is an estimation technique that is used to find the approximate value of a function near a particular point. It is a method of approximating a value of a function by using a tangent line at a point near the one of interest. This method can be useful when exact calculations are difficult or time-consuming. Here, we need to find the value of √6.379 using linear approximation to three decimal places.

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Answer:

The ratio is 1:4 or 1 computer for every 4 sixth graders.

Step-by-step explanation:

20 for 80 = 20:80

20:80 divided by 10:10 = 2:8

2:8 divided by 2:2 = 1:4

There are 80 sundaes possible using one flavor of ice cream and three different toppings.

Here, we are given that a club is hosting an ice cream sundae party with four different flavors of ice cream and six different toppings.

For choosing 1 flavor of ice cream from 4, we have 4 ways.

Now, we need to choose 3 different toppings from the given 6.

This can be done in 6C3 ways

6C3 = 6! / (3! × 3!)

= (6 × 5 × 4) / (3 × 2)

= 120/ 6

= 20

Thus, we have 20 ways of choosing 3 different toppings.

Now, the number of ways of making the sundaes would be-

4 × 20

= 80

Thus, there are 80 sundaes possible using one flavor of ice cream and three different toppings.

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Answer:

a₈ = 39366

Step-by-step explanation:

The terms have a common ratio between consecutive terms

r = 54 ÷ 18 = 162 ÷ 54 = 3

This indicates the sequence is geometric with nth term

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 18 and r = 3 , then

a₈ = 18 × \(3^{7}\) = 18 × 2187 = 39366

If meX = mY and mY = meZ, then meX = meZ. This statement demonstrates

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

For the given problem,  if meX = mY and mY = meZ, then meX = meZ

The two properties that are equal is meX and mY

since mY is also equal to meZ then transitive property says that meX and meZ are still equal

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Answer:

m∠D+m∠F=180

y+70=180

y=110°

m∠E+m∠G=180

117+z=180

z=63°

---------------------

B) y=110,z=63

--------------------

hope it helps...

have a great day!

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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Answer:

Her journey by car.

Step-by-step explanation:

3/5 is more than 3/10. I hope this helps :)

Answer:  3/10 of her journey by autorikshaw.

Step-by-step explanation:

From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°

Basic properties of triangles are:

1)A triangle's (of all varieties) total sum of angles is 180°.

2)The length of a triangle's two longest sides added together is longer than the third side.

3)Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.

4)The longest of a triangle's three sides is the side that faces the larger angle.

5)A triangle's exterior angle is always equal to the product of its inner and exterior opposite angles. The outer angle attribute of a triangle refers to this characteristic.

As sum of angles in a triangle is 180° and sum of angles on a line is also 180°, both the figures are related.

Sum of angles=180°;

\(50+B+65=180;\\B=65\)

∠B=65°

Similarly angle 2 is also 65°

From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°

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Answer:

-5

Step-by-step explanation:

You divide 80 by -16