6 + 3 upon 2
please help me​

Answer:

1 and 1.50 or 1 and 2, but most likely the first one.

Step-by-step explanation:

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

\($d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$\)

side UV:

\($U V=\sqrt{(-2-3)^2+(4-4)^2}=5$\)

side VW:

\($V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$\)

side UW:

\($U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$\)

So the perimeter is:

P=UV+VW+UW

\($P=5+8+9.434=22.434$\)

So the perimeter is: 22.434

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Answer:

bell-shaped curve

Step-by-step explanation:

A density curve is scaled so that the area under the curve is 1

Based on the mentioned boxplot and the informations provided, it appears that there are around 8 undergraduate statistics students who are 69 inches or taller.

A boxplot is a graphical representation of a dataset that summarizes the distribution of the data. The boxplot shows the range of the data, the median, and the quartiles (the 25th and 75th percentiles) of the data. In this specific boxplot, we can see that the upper whisker extends to about 70 inches, which means that any values above that would be considered outliers.

The box also extends up to around 68.5 inches, and since the box contains 50% of the data, we can infer that approximately half of the students are 68.5 inches or taller. Therefore, we can estimate that approximately 8 students (half of the 16 students) are 69 inches or taller.

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Step-by-step explanation:

6×(2.5)+1.5

15+1.5

16.5

or

f(x)= 6x+1.5

f(2.5)= 6(2.5)+15

f(2.5)=16.5

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Answer:

\(\frac{-19}{8}\)

Step-by-step explanation:

\(\frac{-3}{4}-\frac{13}{8}\)

\(-\frac{3}{2^2}-\frac{13}{2^3}\)

\(\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}\)

hope it helps u

The coordinates of the image A(5,-9) for the translation (x,y) → (x - 2,y + 3) is; A'(3, -6)

In transformation, there are different operations such as dilation, reflection, translation, e.t.c

Now, in translation in transformation, we simply refer to the way we move an object from one point to another without changing the dimensions. However, in this question, we are told that the rule of transformation is;

(x, y) → (x - 2, y + 3)

If the coordinates of A(5, -9), then we can say that;

A(5, -9) → A'(5 - 2, -9 + 3)

= A'(3, -6)

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The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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The solution is Option C.

The L'Hopital's rule is applied to the equation lim x approaches 0 (1-cosx)/x

L'Hopital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined. The limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.The tangent to the curve at the point [g(t), f(t)] is given by [g′(t), f′(t)]

And , lim x approches c  [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = lim x approaches 0 (1/x)

On simplifying the equation , we get

The limit diverges as the function diverges and limit does not exist

And ,  lim x approaches 0₊ (1/x) ≠ lim x approaches 0₋ (1/x) = ∞

b)

The equation is A = lim x approaches 0 ( 2x² - 1 ) / ( 3x - 1 )

On simplifying the equation , we get

when x = 0 ,

Substitute the value of x = 0 in the limit , we get

A = ( 2 ( 0 )² - 1 ) / ( 3 ( 0 ) - 1 )

A = ( 0 - 1 ) / ( 0 - 1 )

A = 1

c)

The equation is A = lim x approaches 0 ( 1 - cosx ) / x

On simplifying the equation , we get

Applying L'Hopital's rule , we get

lim x approches c  [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]

f ( x ) = ( 1 - cos x )

g ( x ) = x

f' ( x ) = sin x

g' ( x ) = 1

So ,

lim x approches 0 [ f' ( x ) / g' ( x ) ] = lim x approches 0 ( sin x / 1 )

when x = 0

sin ( 0 ) = 0

Therefore , the value of lim x approaches 0 (1-cosx)/x = 0

d)

The equation is A = lim x approaches 0 ( cos 2x ) / 2

On simplifying the equation , we get

when x = 0 ,

A = cos ( 2 ( 0 ) / 2

A = cos ( 0 ) / 2

A = 1/2

Hence , the L'Hopital's rule is applied to lim x approaches 0 ( 1 - cosx ) / x

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Answer:

-4/3

Step-by-step explanation:

Trust me

Answer:

y = 35x + 20

Step-by-step explanation:

See attached graph.

The equivalent expression of 25 - 64 are "a), b) and c)"

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

=  25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

=  25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

=

=  25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

=

=   - 169, is not a equivalent expression.

e)

Using the algebraic identity,

,  is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".

Answer: option A, B, C are equivalent to \(25x^4-64\).

We check each option by simplifying:

A) \(25x^4 + 40x - 40x - 64 = 25x^4-64\).

B) \(25x^4 + 13x - 13x - 64 = 25x^4-64\)

C) \((5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64\)

D) \((x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169\)

E) \((5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64\).

So option A, B, C are equivalent to \(25x^4-64\).

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The y intercept of the line passing through the points (12,-2) and slope -1/6 is  0  .

In the question ,

it is given that ,

the slope of the line is -1/6 ,

the line passes through the points (12 , -2)

we know that the equation of the line is written as

y = mx + c

where, "m" is the slope

and c is the y intercept .

Since the line passes through point (12,-2) , it should satisfy the equation of the line , that is

-2 = (-1/6)*12 + c

-2 = -2 + c

c = -2 + 2

c = 0

So , y intercept is 0 .

Therefore , The y intercept of the line passing through the points (12,-2) and slope -1/6 is  0  .

The given question is incomplete , the complete question is

Find the y intercept of the line passing through (12,-2) and slope = -1/6 ?

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Answer:

p=17+6h

Step-by-step explanation:

Answer:

A. 38

Step-by-step explanation:

Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :

Answer:

#4 is not a function because not every x-value corresponds with only one y-value

Step-by-step explanation:

If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

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The square box is big enough to fit the pizza?

The given parameters are:

Diameter of pizza = ten and one third inches

Length of square box =  10.38 inches

Express the diameter as a numeral.

So, we have:

Diameter of pizza = 10 + 1/3 inches

Evaluate the sum

Diameter of pizza = 10.33 inches

By comparison:

10.33 inches is less than 10.38 inches

This means that the square box is big enough to fit the pizza?

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Answer:

5

Step-by-step explanation:

As for estimation, you may round 39.76 to the whole number, resulting in 40.

7.94 to 8

40 / 8 = 5

5 is your answer for the result of estimation

The given sequence is an arithmetic sequence with a common difference of 7, the sum of the first 200 terms of the arithmetic sequence is 140,300.

1. To find the 200th term, we can use the formula for the nth term of an arithmetic sequence. Additionally, to find the sum of the first 200 terms, we can use the formula for the sum of an arithmetic series.

2. The given arithmetic sequence has a common difference of 7, meaning that each term is obtained by adding 7 to the previous term. We can find the 200th term, denoted as a₂₀₀, using the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d,

where a₁ is the first term, n is the term number, and d is the common difference. In this case, a₁ = 5 and d = 7. Plugging these values into the formula:

a₂₀₀ = 5 + (200 - 1) * 7

      = 5 + 199 * 7

      = 5 + 1393

      = 1398

3. Therefore, the 200th term of the given arithmetic sequence is 1398.

4. To find the sum of the first 200 terms of the sequence, we can use the formula for the sum of an arithmetic series:

Sₙ = (n/2)(a₁ + aₙ)

where Sₙ is the sum of the first n terms. Plugging in the values, we have:

S₂₀₀ = (200/2)(5 + 1398)

        = 100 * 1403

        = 140,300

Hence, the sum of the first 200 terms of the arithmetic sequence is 140,300.

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\(y - 5 = 3(x - 2)\)

Answer:

11.2

Step-by-step explanation:

(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)

(15)^2 - (10)^2 = (b) ^2

b^2=225-100

b^2=125

b=root (125)

b=11.18

b=11.2

Answer:

(7,2)

Step-by-step explanation:

10

9

8

7

6

5

4

3

2                                                            x

1

     1        2        3      4      5        6        7          8            9           10

Answer:

Remember, X axis always goes first.

Start from zero and go to seven on the right.

and 2 up

I linked an example

If each data value in a normal distribution increases by 10, the entire distribution will shift to the right by 10 units. This is because adding a constant value to each data point will result in a uniform increase across the entire distribution.

In a normal distribution, the mean (μ) represents the central tendency of the data, and it is also the point of symmetry for the distribution. The mean determines the center of the distribution.

When we add a constant value to each data point, we effectively shift the entire distribution by that same value. Since the mean is the average of the data points, increasing each data value by 10 will increase the mean by 10 as well.

The effect of increasing each data value by 10 can be observed as follows:

The mean (μ) will increase by 10 units, shifting the center of the distribution to the right.

The median, which is also the middle value in a normal distribution, will also increase by 10 units. This is because adding a constant value to all the data points will not change their relative order.

The mode, which represents the most frequent value(s) in the distribution, may or may not be affected, depending on the specific data points. If the mode was already the highest value(s) in the original distribution, it may remain the same or increase as a result of the shift.

The standard deviation (σ), which measures the spread of the data, will remain unchanged. This is because adding a constant value to each data point does not affect the variability or dispersion of the data.

Overall, the effect of adding 10 to each data value in a normal distribution is a simple shift of the entire distribution to the right, without changing its shape or spread.

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The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.

To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.

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