Pls help I give points. And if you do understand it could you also explain it it a little. Thank you

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

B) h=10

Step-by-step explanation:

5sq rt 2=sq rt 50

Pythagorean theorem

(sq rt 50)^2=50

h^2=50^2+50^2=100^2

h=10

Answer:

she receives 76 Dollars

Answer:

  B.  An irrational number

Step-by-step explanation:

A rational number is one that can be written as a ratio (of integers).

An irrational number cannot be written as a ratio of integers.

Answer:

B

Step-by-step explanation:

An irrational number is something that doesn't have an end like pi it goes on forever so therefore it can't be written as a fraction.

Answer:

please give brainiest

thank you

Answer:

Its 16 (-1/2)^-4=16 then

Answer:

20 ft

Step-by-step explanation:

Keep in mind that, both ratios are the same, let the length of the shadow be x, then you can make an equation that 30/ 40 = 15 / x, then 30x = 15 * 40 = 600, so x = 20.

The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.

The range of values that we are permitted to enter into our function is known as the domain of a function.  A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

We know that the domain of a function is the set of values that we are allowed to plug into our function.

From the Graph the x values ranges from 0 to 4.

So, domain is 0 ≤ x ≤ 4.

and, the range is the corresponding output for the input

From the Graph the y values ranges from 0 to 80.

So, Range is 0 ≤ y ≤ 80.

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The value of x for the nearest tenth in the given triangle is x = 41.30 degrees.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that occur and are defined on both sides of the equality. These are identities that, geometrically speaking, involve certain functions of one or more angles. They are not to be confused with triangle identities, which are identities that may involve angles but may also involve side lengths or other lengths of a triangle.

From the given figure we observe that, the lengths of the side corresponding to angle x are given.

Thus, using trigonometric identities we have:

tan x = 80/90

tan x = 8/9

x = arctan(8/9)

x = 41.34 degrees.

Hence, the value of x for the nearest tenth in the given triangle is x = 41.30 degrees.

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Using geometric sequence, a) The fine on day n is $2^n (2 to the power of n). b) It would take log_2(D/2) + 1 days for the fine to reach D dollars.

In this court case, the fine on each subsequent day is equal to the square of the previous day's fine. This means that the fine follows a geometric sequence, where the common ratio is the square of the previous term.

a) To find the fine on day n, we can use the formula for the nth term of a geometric sequence:

a_n = a_1 * r^(n-1)

Where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.

In this case, a_1 = 2 (the fine on the first day), r = 2 (the common ratio), and n is the day number. Plugging these values into the formula, we get:

a_n = 2 * 2^(n-1)

So the fine on day n would be 2 * 2^(n-1) dollars.

b) To find how many days it would take the fine to reach D dollars, we can use the formula for the nth term of a geometric sequence and solve for n:

D = 2 * 2^(n-1)

Dividing both sides by 2, we get:

D/2 = 2^(n-1)

Taking the logarithm of both sides with base 2, we get:

log_2(D/2) = n - 1

Adding 1 to both sides, we get:

n = log_2(D/2) + 1

So it would take log_2(D/2) + 1 days for the fine to reach D dollars.

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Answer:

Please find attached the required graph

Step-by-step explanation:

The given equation of the linear function is p(x) = 4·x

Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;

The slope, m = 4, and the y-intercept c = 0

Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1

However, in order to  graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values  using Microsoft Excel as follows;

x            \({}\)                p(x)

0            \({}\)                0

1            \({}\)                 4

2            \({}\)                8

3            \({}\)                12

4            \({}\)                16

5            \({}\)                20

6            \({}\)                24

7            \({}\)                28

8            \({}\)                32

9            \({}\)                36

10            \({}\)                40

11            \({}\)                44

12            \({}\)                48

13            \({}\)                52

14            \({}\)                56

15            \({}\)                60

16            \({}\)                64

From which the required graph is constructed using the insert function in Microsoft Excel

71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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Answer:

not similar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The triangles are similar by SSS with a scale factor of 1/4

__________________

The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.

Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.

The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.

It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.

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Answer:

  f'(x) = -2/√(x³)

Step-by-step explanation:

You want the derivative of f(x) = 4/√x.

The power rule for derivatives is ...

  \(\dfrac{d}{dx}(x^n)=nx^{(n-1)}\)

Applied to the given function, we have ...

  \(f(x)=\dfrac{4}{\sqrt{x}}=4x^{-\frac{1}{2}}\\\\f'(x)=4(-\frac{1}{2}x^{-\frac{3}{2}})\\\\\boxed{f'(x)=-\dfrac{2}{\sqrt{x^3}}}\)

__

Additional comment

The first attachment shows a calculator gives the same result.

The second attachment shows the derivative curve matches the one described by the function we found.

Answer:

2 Packages

Step-by-step explanation:

To last the whole month, we would need to multiply 1/4 by 8.

1 *8 = 8

4 * 1 = 4

8/4 = 2

The probability that the next customer will pay with a debit card is 34/73.

Given,

The number of customers paid cash = 37

The number of customers used debit card = 34

Number of customers used credit card = 2

We have to find the probability that the next customer will pay with a debit card as a fraction in simplest form.

So,

Probability, P(A) = (Number of favorable events) / (Number of possible events)

Here,

Number of favorable events = 34

Number of possible events = 37 + 34 + 2 = 73

Then,

P(A) = (Number of favorable events) / (Number of possible events)

P(A) = 34/73

That is,

The probability that the next customer will pay with a debit card is 34/73.

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Answer:

1.7

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

x = - 3

Step-by-step explanation:

Given

\(\frac{2}{3}\) x + 5 = 3 ( subtract 5 from both sides )

\(\frac{2}{3}\) x = - 2 ( multiply both sides by 3 to clear the fraction )

2x = - 6 ( divide both sides by 2 )

x = - 3

Answer:

The number is 15

Step-by-step explanation:

x = a number

4/3 x - 12 = 8

Rearrange the equation so that the integers are on one side - in the format Ax = B

4/3 x - 12 = 8

4/3 x = 8 + 12

4/3 x = 20

Simplify the equation - in the format x = A - then solve for x

4/3 x = 20

4 x = 20 * 3

4 x = 60

x = 60 / 4

x = 15

\( \large \bf \implies{A\: number\: is\:15}\)

A number is x

then we have \(\frac{4}{3}\)x - 12 = 8

\( \bf \longrightarrow \frac{4}{3}x - 12 = 8 \\ \\ \bf \longrightarrow \frac{4}{3}x = 8 + 12 \\ \\ \bf \longrightarrow \frac{4}{3}x = 20 \\ \\ \bf \longrightarrow 4x = 20 \times 3 \\ \\ \bf \longrightarrow4x = 60 \\ \\ \bf \longrightarrow x = \frac{ \cancel{60}}{ \cancel{4} } \\ \\ \bf \longrightarrow \: x = 15\)

'Four thirds of the number is \(\frac{4}{3}x\) then decreased by 12 is \(\frac{4}{3}x - 12\) then gives the result 8. That is \(\bf\frac{4}{3}x - 12 = 8\)'

Answer:

3

Step-by-step explanation:

as the hour goes up one the temperature rises by 3

Answer:function

Step-by-step explanation:

The line passes the graph once

SAMPLE Answer:

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.

3√20+2√125 = 3√(4×5) + 2√(5×5×5)

=6√5+10√5

=16√5

This is your answer .

The mean time that a certain model of light bulb will last is ​hours is 900 hours and the required percentage of bulbs is 2.5%

Here,

x is the time that a certain bulb will last.

(in houses.

μ=900 hours;

σ=1200 hours.

The standardized value for a light bulbs lasts 1100 hours, is,

z=x-μ/σ

z=1100-900/100=2

We know, for a bell-shaped distance, Approximately,

68% of the data falls within M-uσ;

By rule (ii), here,

95% of the data falls within (μ-2σ,u+2σ)

(900-2x100,900+2x100)

(700,1100)

So (100-95=5%) falls outside of (700,1100)

Since, the distance is symmetric (i.e. bell-shaped); we find the percentage of bulbs that is expected lo lase longer than 1100 hours, is

5/2% =2.5%

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The vertices of the triangle DEF after the 90º counterclockwise rotation about the point (5,2) are given as follows:

D'(-11, -2), E'(-10, 1) and F'(-6, -3).

The five more known rotation rules are given as follows:

Considering the 90º counterclockwise rotation about the point (5,2), the rule is given as follows:

(x,y) -> (-y - 5, x - 2).

Hence the vertices are given as follows:

D'(-11, -2), E'(-10, 1) and F'(-6, -3).

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Answer:

A

Step-by-step explanation:

Looking for the graph which

crosses the x- axis at x = - 1 ( x- intercept )

crosses the y- axis at y = - 3 ( y- intercept )

has a minimum value of - 4 at x = 1, that is vertex = (1, - 4) and minimum U

The required graph is A

The graph A should match the description.

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Answer:

The answer to your question is C.

Step-by-step explanation:

Because the number of people with 4-5 pets is 9 and the 2-3 pets number is 4 9-4=5.

The equation to determine how much george will pay for a student ticket is 1/3x + 15 = 19 and george pay $12 for a student ticket.

Given:

George and his dad are planning to attend the state fair. an adult ticket is $19. the price of an adult ticket is one third the price of a student ticket plus $15.

Let x be the price of student ticket.

from the given statement:

1/3x + 15 = 19

x + 45 = 19*3

x + 45 = 57

x = 57 - 45

x = 12.

Therefore the equation to determine how much george will pay for a student ticket is 1/3x + 15 = 19 and george pay $12 for a student ticket.

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The vertical intercept is (0, 0). Horizontal intercepts are the points where the graph of the function intersects the x-axis. At these points, the value of y is zero.

The function f(x) = -9x³+9x² - 2x can be factored as: -x(9x² - 9x + 2) .

The zeros can be obtained by setting the function equal to zero:-

x(9x² - 9x + 2) = 0

The zeros of the function are 0, 2/9, and 1.

To determine these solutions, we can use the Zero Product Property, which tells us that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. We can find the zeros of the function by setting each factor equal to zero and solving for x.

Thus, we have:Horizontal intercepts are the points where the graph of the function intersects the x-axis. At these points, the value of y is zero.

To find the horizontal intercepts, we set f(x) = 0 and solve for x.

Thus, we have:-9x³+9x² - 2x = 0x(-9x²+9x - 2) = 0

The horizontal intercepts of the function are -2/3, 0, and 2/3.

To determine these solutions, we can use the Zero Product Property, which tells us that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

We can find the horizontal intercepts of the function by setting each factor equal to zero and solving for x.The vertical intercept is the point where the graph of the function intersects the y-axis.

At this point, the value of x is zero. To find the vertical intercept, we set x = 0 and evaluate the function. Thus, we have:

f(0) = 0 - 0 + 0 = 0.

Therefore, the vertical intercept is (0, 0).

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