What is the answer to f(2)=

Answer:4 and 3

Step-by-step explanation:

The person's average speed is 15.65 miles per minute.

The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set. The mean is typically meant when the word "average" is used in a mathematical context, especially when no other context is provided. Divide the total by the quantity of numbers after averaging the numbers. (The value(s) total divided by the value(s) total).

Given Data

A person walked 2.5 miles in 45 minutes, then jogged 1.5 more miles in 20 minutes.

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed while walking = 18

Speed while jogging = 13.3

Average = [tex]\frac{18 +13.3}{2}[/tex]

Average = [tex]\frac{31.3}{2}[/tex]

Average = 15.65

The person's average speed is 15.65 miles per minute.

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The statement that best describes the depth of the fish based on the given equation is: C. From the starting position of 3 meters below sea level, the fish is descending 7 meters per second.

A negative slope implies a negative constant rate of a linear equation. In slope-intercept form, the linear equation is expressed as y = mx + b, where the constant rate is represented as "m", while the starting value is represented as "b".

In the given scenario, the equation y = -7x - 3 models the depth, y, the fish swims below the sea level at x number of seconds.

This implies that:

The starting value (b) = -3, represents the starting position of the fish, which is 3 meters below the sea level.

-7 is the constant rate of the linear equation, which is the rate at which the fish is descending below the  sea level, which is: 7 meters per second. The best statement is therefore: C.

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The equation  y + 2x = 3 best represents the relationship between x and y in the graph.

We are provided with the graph shown in question. We were supposed  to find the equation of the line shown in the graph. From this graph we can clearly see that the line is passing through ( 1.5 , 0 ) and ( 0 , 3 ).

The equation of line passing through two points is given below:

[tex](y - y_{1}) = (\frac{y_{2}-y_{1} }{x_{2}-x_{1} }) (x - x_{1} )[/tex]

As the line is passing through points  ( 1.5 , 0 ) and ( 0 , 3 ) , so we can write the above equation as

( y - 0 ) = ( ( 3 - 0 )/( 0 - 1.5 ) ) ( x - 1.5 )

y = -2 ( x - 1.5 )

y = -2x + 3

y + 2x = 3

The required equation of line is y + 2x = 3 i.e., this equation best represents the relationship between x and y in the graph.

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The probability that you have a peanut allergy given a positive test result is 50%.

To find the probability that you have a peanut allergy given a positive test result, we can use Bayes' theorem.

Let's define the following events:

A: You have a peanut allergy.

B: The test result is positive.

We are given the following probabilities:

P(A) = 1/5 = 0.2 (1 in 5 individuals is allergic to peanuts).

P(B|A) = 0.4 (if you have a peanut allergy, the test will give a positive result 40% of the time).

P(B|not A) = 0.1 (if you don't have a peanut allergy, the test will give a positive result 10% of the time).

We want to find P(A|B), which is the probability that you have a peanut allergy given a positive test result.

Bayes' theorem states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Now, let's calculate P(B):

P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)

P(not A) is the probability of not having a peanut allergy, which is equal to 1 - P(A):

P(not A) = 1 - P(A) = 1 - 0.2 = 0.8

Now, we can calculate P(B):

P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08

= 0.16

Now, let's calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) × P(A)) / P(B)

P(A|B) = (0.4 × 0.2) / 0.16

P(A|B) = 0.08 / 0.16

P(A|B) = 0.5

Therefore, the probability that you have a peanut allergy given a positive test result is 50%.

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Answer:

Step-by-step explanation:

the base-ten representation for 19! = 121,6T5,100,40M,832,000 then

H+M+T =12

19! has three 5s so it will end with three 0s.

Hence H = 0

19! = 121,6T5,100,40M,832,000 = 121,6T5,100,40M,832 * 1000

19! has many 2s. So M832 will be divisible by 16 (last 4 digits).

So M000 + 832 is divisible by 16. 832 is completely divisible by 16. Since 16*5 = 80, 8000 must be divisible by 16.

M = 8

19! = 121,6T5,100,408,832,000

Since 19! is divisible by 9, sum of all digits must be divisible by 9.

1+2+1+6+T+5+1+4+8+8+3+2 = T + 41

To make this divisible by 9, T must be 4.

H+M+T = 0 + 8 + 4 = 12

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Answer:

He is expected to pay $2.73

Explanation:

We can solve this, by adding 0.39 7 times:

Thus, 7 pound of bananas cost $2.73

Answer:

A

Step-by-step explanation:

the slope of the line is a measure of the rate of change.

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

the rate of change of y with respect to x is 2

Answer:

A) 2

Step-by-step explanation:

Rise over run,

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]

-2 will be [tex]x_{1}[/tex] and -3 will be [tex]y_{1}[/tex]

2 will be [tex]x_{2}[/tex] and 5 will be [tex]y_{2}[/tex]

It doesn't matter which order you place the points, for [tex]x_{1}[/tex], or [tex]x_{2}[/tex] but  [tex]x_{1}[/tex] and and [tex]y_{1}[/tex] must be one point while [tex]x_{2}[/tex] and [tex]y_{2}[/tex] must be one point.

Then, we replace the values to find:

[tex]\frac{5-(-3)}{2-(-2)}[/tex]

We then simplify this expression to [tex]\frac{8}{4} = 2[/tex]

Therefore, our slope for this function is 2

Answer:

We're given a least-squares regression equation that we can use to predict weight (in kilograms) from a given length (in centimeters). The question asks to predict the weight of a fish that is 70cm long, so let's plug in 70 for "length" and solve for the predicted weight: logweight = 3.08  (log length) -5.07

(logweight) 3.08 (log 70) - 5.07

(logweight) ≈ 3.08 (1.84) - 5.07

log weight ≈ 0.613

Next, we use the fact that these are base 10 logarithms and the definition of a logarithm to solve for the predicted weight:

log₁₀ (weight) ≈ 0.613

Taking logarithms on both sides

weight ≈ 10₀.₆₁₃

weight ≈ 4.1

According to this model, the predicted weight for a 70 cm long Florida bass is about 4.1kg.

​

The simplest form is [tex]\frac{11}{2}[/tex] .

fraction, In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that,

−2(−1 1/4)

Multiplying the numerator with numerator and denominator with denominator. According to integer multiplication of two negative terms is always positive.

= [tex]\frac{22}{4}[/tex]

The simplest form =  [tex]\frac{11}{2}[/tex]

Hence, The simplest form is [tex]\frac{11}{2}[/tex] .

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Answer:...

Step-by-step explanation:

The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12   .

The point slope form of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-4,8) and (4,4) ,

So , the slope(m) is = (4-8)/(4-(-4)

= -4/8

= -1/2

the equation of the line passing through (4,4) and slope as -1/2 in the point slope form is

(y-4) = -1/2(x-4)

y - 4 = (-x + 4)/2

2y-8 = -x + 4

x + 2y = 12

Therefore , The point slope equation of the line that passes through the points (-4,8) and (4,4) is x + 2y = 12    .

The given question is incomplete , the complete question is

Write the point slope equation of the line that passes through the points (-4,8) and (4,4) .

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Answer:

y - 4 = -1/2 (x-4)

Step-by-step explanation:

thats the answer on khan

Answer:

6.9

Step-by-step explanation:

6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.

Answer:

True

False

False

False

Step-by-step explanation:

1) a rhombus is a quadrilateral that has four equal sides.  The angles do not have to be 90°, but if they are 90°, it would be a square.

2) Rhombus has all four sides equal  A rectangle does not have to have all four side lengths equal.

3) A quadrilateral means that it is a four sides figure.  A rectangle is a 4 sided figure will parallel sides and opposite sides of equal length.

4) Parallelograms mean that the opposite sides have to be equal.  A rectangle is a parallelogram, but it does not have to be a square.

From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then, the athlete spent equal amounts of time biking and running is false

The given vertices when plotted gives a parallelogram.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

To solve this problem, we simply need to plot the vertices and check if the opposite sides are equal to each other.

Kindly find the attached image of the parallelogram below.

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Answer:

Step-by-step explanation:

I believe the equation would be 3(f-5)=60.

The answer to that equation would be:

3(f-5)-60

3f-5=60           Open parentheses

3f=60+5            Take 5 to the other side

3f=65                 Add 60 and 5

f=65/3               Divide the sum of 60 and 5 with 3

f=21.6 Answer

Answer:

(x, y) to (-y,-x)

Step-by-step explanation:

You have to find the reflection which is the opposite so the opposite of x is -x the opposite of y is -y!

The withdrawal of $170 can be represented as -$170.

Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.

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Answer:

3.5

Step-by-step explanation:

find the ratio between any two corresponding sides. for example : 1.4/2 = 0.7

this should be the same number for all sides

thus 5 * 0.7 = 3.5

Answer:

23456892245u

Step-by-step explanation:

Allah sh all will am am well ram chirac flow

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

Given that,

Karen Gaines invested $14,000 in a money market account with an interest rate of 1.75% compounded semiannually.

Six years later, Karen withdrew the full amount to put toward the down payment on a new house.

To find the amount withdraw.

we know that, formula for finding amount of compound interest as,

where P is the principal, nis the number of years, r is the rate of interest per annum.

Given that, interest rate of 1.75% compounded semiannually, therefore number of years is 6x2=12 years.

Substitute the values we get,

Karen withdraws $17,240.15 from the account.

============================================================

Explanation:

m = 1 is the given slope

(x1,y1) = (6,-2) and (x2,y2) = (h,-3) are the two points on a line of slope 1.

Let's use the slope formula to find h

[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (h,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\1 = \frac{-3 - (-2)}{h - 6}\\\\1 = \frac{-3 + 2}{h - 6}\\\\1 = \frac{-1}{h-6}\\\\1(h-6) = -1\\\\h-6 = -1\\\\h = -1+6\\\\h = 5[/tex]

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

The point (h,-3) updates to (5,-3).

The slope of the line through (6,-2) and (5,-3) is 1.

Use the slope formula to confirm this.

[tex](x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (5,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - (-2)}{5 - 6}\\\\m = \frac{-3 + 2}{5 - 6}\\\\m = \frac{-1}{-1}\\\\m = 1\\\\[/tex]

The answer is confirmed.

The solution of m for question 6 and the value of z for question 10 does not exist.

According to the question,

We have the following information,

6) 1/3 + 2m/3 = 2m/3-2/3

Now, moving the terms with the same variables in one side:

2m/3-2m/3+1/3 = -2/3

Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.

So, the solution of this equation does not exist.

10) 2.5(2z+5) = 5(z+2.5)

Now, multiplying the numbers outside the bracket into bracket:

5z+12.5 = 5z+12.5

Moving the terms with the same variables on one side:

5z-5z+12.5 = 12.5

Now, when 5z is subtracted from5z then we have no variable left.

So, the solution of this equation does not exist.

Hence, the solutions of the equation 6 and equation 10 does not exist.

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The income a person must make to be in the highest income bracket $4420.09 using standard deviation

What is standard deviation?
The standard deviation is a statistician's way of gauging how much a group of numbers can vary or be dispersed. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.

As per the question,  

mean = u = $3398

standard deviation = σ = $571

Using standard normal

P(Z > z) = 3.67%

1 - P(Z < z) = 0.0367

P(Z < z) = 1 - 0.0367

P(Z < 1.79) = 0.9633

z = 1.79

Using z-score formula,

x = z * σ + u

x = 1.79 * 571 + 3398

= 4420.09

Hence the total income is  $4420.09 using standard deviation.

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Answer: b = -5

Step-by-step explanation:

-10 = 5/7 (-7) +b

-10 = -5 + b

-5 = b

The measure of the interior angle x is 48°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

We know that sum of all the interior angles of a triangle is 180°.

The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Given, An exterior angle that measures 64° and two opposite interior angle measuring 16° and x°.

∴ x° + 16° = 64°.

x = (64 - 16)°.

x = 48°.

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