(50 pts) Which of the following statements is not true?
A. The constant of proportionality is the same as the k value.
B. The value of yx is the same in a table it is a proportional relationship.
C. A proportional relationship is a linear relationship.
D. The unit rate and the k-value are the same value in a proportional relationship.

Answer:

$0.40

I had the same question and it was $0.40

Answer:

$0.55

Got it on the test, hope this helps :)

\(\displaystyle\\(a+b)^n\\T_{r+1}=\binom{n}{r}a^{n-r}b^r\\\\\\(x+2)^7\\a=2x\\b=3\\r+1=4\Rightarrow r=3\\n=5\\T_4=\binom{5}{3}\cdot (2x)^{5-3}\cdot3^3\\T_4=\dfrac{5!}{3!2!}\cdot 4x^2\cdot27\\T_4=\dfrac{4\cdot5}{2}\cdot 4x^2\cdot27\\\\T_4=1080x^2\)

Answer:

Thanks

Step-by-step explanation:

Thanks

The constant of proportionality is equal to 3/10.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/10 = 6/20 = 9/30

Constant of proportionality, k = 3/10.

Therefore, the required linear equation is given by;

y = kx

y = 3/10(x)

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Answer:

Step-by-step explanation:

Answer:

D. y = -2x

Step-by-step explanation:

slope = rise/run = 2/-1 = -2

y-intercept = (0,0)

y = mx + b

y = -2x + 0

y = -2x

The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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Answer:

hey from where are you...

Answer:

4.2

Step-by-step explanation:

0.2^(3)-:0.4*60+3.6-:1.2 = 4.2

Answer:

4.2

Step-by-step explanation:

Answer:

bad words

Step-by-step explanation:

it is your shet

Answer:

2.25

Step-by-step explanation:

Prime Factors of 24 is 2 x 2 x 2 x 3

2 + 2 + 2 + 3 = 9

9/4 = 2.25

Answer:

For the first 2 for the second 3

Step-by-step explanation:

first would be 1x the second would be -1x

Answer:

2 and 3

Step-by-step explanation:

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

\(\frac{\sqrt{3} }{2}\) = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

Salut/Hello!

Answer: a) 90 tiles ; b) 3 m

Step-by-step explanation:

a) First we need to imagine a drawing of the empty worktop. We know the width is equal to 6 tiles and the length is equal to 15 tiles. If the shorter edge fits 6 tiles then we have 6 sets of 15 tiles.
6 x 15 = 90 tiles

b) We know the length of one tile is 20 cm so the length of 15 tiles that fit in the worktop is equal to 300 cm or 3 m

I hope it was helpful!

a) To cover the workshop, he has to use 90 tiles altogether.

b) The length of the workshop is 3 meters.

We know that the area of the rectangle is

Area =  length × width

Here shorter edge is called width and the longer edge is called length.

Also given that,

The tiles required to cover the shorter edge are 6 tiles.

The tiles required to cover the longer edge are 15 tiles.

so, the total tiles required to cover the worktop are

Area = 15 tiles × 6 tiles

= 90 tiles

Therefore, 90 tiles are required to cover the worktop.

To find the length of the worktop,

Required length = length of each tile × no. of tiles

By applying the formula,

Required length = 20 cm × 15

= 300 cm

1 meter = 100 centimeteres

Therefore, the length of the worktop is 3 meters.

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Given that f(x) is defined as the function below:'

To determine the value of f(1), we substitute the x with 1. Therefore:

The value of f(1) is -9.

Answer:

The sample mean is 15.

Step-by-step explanation:

We have given data 19, 15, 6, 11, 24.

We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.

Sample mean = (19+ 15 +6 +11 +24) / 5

Sample mean = 75 / 5

Sample mean = 15

Therefore the sample mean of the given data is 15.

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Step 1: Concept

From the figure of the double number line, the lower number is twice the upper number.

Step 2:

From the concept explained above, we know that twice or double a number is multiplying the number by 2.

Step 3:

Draw the figure and fill in the blanks.

Answer:

\(\sqrt[2]{3^7}\)

Step-by-step explanation:

\(\sqrt[2]{3^7}\)

The top number is the power and the bottom of the fraction is the root

Answer:

32.0

Step-by-step explanation:

i really can't explain it but comment if need more help

and can u take better picture

Answer:

Step-by-step explanation:

I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

15: 58 degrees. 16: Answer D

Step-by-step explanation:

Question 15

All you have to do for this one is to add the angle measures of 22 and 36 degrees together to get the answer of 58 degrees.

Question 16

The interior angles of a triangle will always add up to 180 degrees.

Therefore, 180 - 53 - 21 is the answer, which totals 106 degrees.

Commutativity justifies the statement, of If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8.

Commutativity is used in Maths equations and describes sums that can be moved around and will still give the same answer.

'Commutative' comes from the word 'commute' which means to move and travel around, so equations that are commutative have numbers that can be moved within the equation.

commutative law, in mathematics, is either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba.

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Solution:

Given the function f(x) expressed as

For horizontal tangent, we have

Thus, we have

solving for x using quadratic formula, we have

Hence, the solution are values of x that satisfy f'(x) = 0. That is, solve the equation

x=

Answer:

she has 16 correct answer

Step-by-step explanation:

Mathematically ,we can translate this word problem into this system of equations :

\(\begin{cases}5x-2y=72&\left( 1\right) \\ x+y=20&\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}5x-2y=72&\left( 1\right) \\ 2x+2y=40&2\times\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}7x=72+40=112&\left( 1\right)+2\times(2) \\ x+y=20&\left( 2\right)\end{cases}\)

\(\Longleftrightarrow \begin{cases}x=\frac{112}{7}=16 \\ y=20-x=20-16=4&\left( 2\right)\end{cases}\)

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer:

-30

Step-by-step explanation:

focus on 5² · 2.

⇒ 5² = 5·5.

⇒ 5·5 = 25.

So, your answer is -30.