Question 7 (3 points) Which data description techniques are NOT appropriate for visualising an attribute "Hair Colour", which has values "Black/Blue/Red/Orange/Yellow/White"? Select all that apply. ba

If the function 5x+ y = 1 has the domain {-2, 1, 6}, then {11, -4, -29}  is the corresponding range  and the  answer to your question is: letter D

Function   5x + y = 1

Domain        {-2, 1, 6}

Process

Domain is the possible values of the independent variable.

Range is the values of the dependent variable.

Evaluate the function with each of the domain values to get "y"

When x = -2

 5(-2) + y = 1

  -10 + y = 1

   y = 10 + 1

     y = 11

When x = 1

 5(1) + y = 1

 5 + y = 1

 y = -5 + 1

  y = -4

When x = 6

5(6) + y = 1

30 + y =1

 y = 1 - 30

y =  -29

Range = { 11, -4 , -29}

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The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer:

\(H=n-8\)

Step-by-step explanation:

\(8+H=n\)

\(\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\)

\(8+H-8=n-8\)

\(Simplify\)

\(H=n-8\)

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The diameter is decreasing at a rate of  - 0.101 cm/min

Given that,

Surface area is decreasing at a rate of \(7cm^{2}\)/min,

We know that,

Surface Area of a sphere:

S = 4 π r2

dS/dt = - 7cm2/min

our aim is to find rate of decrease of Diameter:

dD/dt =?

Substitute r in the equation with radius = 1/2*Diameter:

r = 1/2D

Take the derivative of the surface area function with respect to time:

d/dt [S = 4 π (1/2D)2]

d/dt [S = 4 π 1/4*D2]

d/dt [S = π *D2]

dS/dt = 2πD*dD/dt

Solve for dD/dt:

dD/dt = dS/dt / 2πD

Substitute, dS/dt = - 7cm2/min and D = 11 cm

dD/dt = dS/dt / 2πD

dD/dt = - 7cm2/min / 2π*11cm

dD/dt = - 7cm2/min / 22π cm

dD/dt = - 7cm / 22π min

dD/dt = - 0.101 cm/min

Therefore, the diameter is decreasing at a rate of - 0.101 cm/min

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0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

if a snowball melts so that its surface area decreases at a rate of 7 cm2/min,

find the rate at which the diameter decreases when the diameter is 11 cm.

Surface area: S

radius: r

diameter: e

time: t

[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]

S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e

dS/dt = 7cm^2 / min

de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] /  [2pi*11cm]

= 0.101331789 cm/min

Hence , 0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

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Answer: 4

Based on the given conditions, formulate

Multiply both the numerator and denominator with the same integer

Convert decimal to fraction

Simplify fraction(s)

Hey there!

8!

= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320

Therefore, the answer should be:

40,320

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x>-6, x<-4

Step-by-step explanation:

|x+5|>-1

x+5>−1 (Possibility 1)

x+5−5>−1−5 (Subtract 5 from both sides)

x>−6

x+5<−(−1)(Possibility 2)

x+5<1(Simplify both sides of the inequality)

x+5−5<1−5(Subtract 5 from both sides)

x<−4

x>-6 or x<-4

7 x 3 = 21 so it is 21 ft cm your welcome

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

The number of students should be invited to a party to make sure that ap least two of them have the same initials are equals to the 677 (students).

The solution of this problem is obtained by using the pigeonhole principle, which states if there are N boxes and N+1 pigeons, at least two pigeons must be in the same box. We have to determine the number of students invited in party to make make sure that at least two of them have the same initials. Now, first we figure out what N is to solve the problem. Here, box for this problem is labelled by first and last initials. If we are using the A-Z alphabet, then there are 26×26 = 676 possible sets of initials.

As soon as there are N+ 1 or 677 people, at least two must have the same first and last initials. Hence, required value is 677.

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Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.

The strength and direction of the linear connection between two variables are measured by the correlation coefficient. Its value goes from -1 to 1, and it is represented by the symbol "r". A perfect negative correlation, or r = -1, implies that as one variable rises, the other variable falls in an exact predictable manner. There is no linear relationship between the two variables if r = 0, which implies there is no correlation between the two variables. When r = 1, there is a perfect positive correlation, meaning that when one measure rises, the other rises in an exact predictable manner.

given

The maximum temperature for a specific day is shown in the provided image alongside the predicted maximum temperature.

The blue line depicts the expected maximum temperature, while the red line depicts the actual maximum temperature.

We can see that throughout the day, the forecast temperature is typically greater than the actual temperature.

Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.

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Frequency means how often a number or something appears.

so,

2

4

3

5

Answer:

163.8

Step-by-step explanation:

Answer:

9 squares

Step-by-step explanation:

An equilateral has three equal sides.  You can have two squares on each side: AB, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC.  You can also have two squares on each side - BC, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC.  Again, you can have two squares on each side - CA, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC.  In addition, AB, BC and CA can be a diagonal of squares.  

TL;DR

In conclusion, you have 9 squares in all - 3 as diagonals of squares and 6 as sides of squares. Brainliest appreciated!

No square shares more than two vertices with the equilateral triangle, so we can find the number of squares having two of their vertices at two given points and triple the result. Given 2 points, 3 squares may be drawn having these points as vertices. The figure below shows a red equilateral triangle with the 3 squares that correspond to one of the sides of the triangle. Therefore, 9 squares share two vertices with the equilateral triangle.

The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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Answer:

a=8 and b= -6

Step-by-step explanation:

Answer:

Yes, they are congruent.

Step-by-step explanation:

Reflected triangles can be congruent

To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.

Answer:

Step-by-step explanation:

Two sides and the included angle are congruent:

Postulate: SAS

Congruence Statement: ΔRED ≅ ΔSOX

Answer:

The value of X is 35

Step-by-step explanation:

If I’m not right I apologize

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

By using the property of congruency of triangles,

\(\angle\)PSR = \(\angle\)PSQ has been proved

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.

There are different axioms of congruency. They are

SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom

PS bisects \(\angle\)QPR [Given]

PQ \(\cong\) PR [Given]

\(\angle\)QPS \(\cong \angle\)RPS [PS bisects  \(\angle\)QPR]

PS \(\cong\) PS [Reflexive property of congruence]

\(\Delta\) PQS \(\cong \Delta\) PRS [SAS axiom]

\(\angle\)PSR = \(\angle\)PSQ [Corrosponding parts of congruent triangles are congruent]

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Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

To estimate the parameters of the model, we can use the following steps:

Calculate the mean of the first test scores and the mean of the second test scores.

Calculate the difference between each student's first test score and the mean first test score, and the difference between each student's second test score and the mean second test score.

Multiply the differences from step 2 together for each student, and sum the results.

Divide the sum from step 3 by the sum of the squares of the differences from step 2. This will give us the value of β1.

Calculate β0 by substituting the values of β1 and the mean first and second test scores into the equation: Second Test Grade = β0 + β1(First Test Grade)

Using these steps, we can calculate the estimates of the parameters as follows:

Mean first test score = (50+91+55+58+79+70+97+51+51+59+69+56+56+41+49+58+58+99+87+95+97)/21 = 68.381

Mean second test score = (70+58+74+65+60+60+48+73+73+66+67+70+73+76+72+68+73+53+58+50+55)/21 = 64.762

Difference between student 1's first test score and mean first test score = 50 - 68.381 = -18.381

Difference between student 1's second test score and mean second test score = 70 - 64.762 = 5.238

Difference between student 2's first test score and mean first test score = 91 - 68.381 = 22.619

Difference between student 2's second test score and mean second test score = 58 - 64.762 = -6.762

Sum of multiplied differences = (-18.3815.238) + (22.619-6.762) + (-13.3818.238) + (-10.381-0.762) + (10.619*-6.238) + (2.619*-7.238) + (28.619*-16.762) + (-17.3819.238) + (-17.3819.238) + (-9.381*-0.762) + (0.619*-0.238) + (-2.3816.238) + (-2.3817.238) + (-27.38116.238) + (-18.3813.238) + (-10.381*-3.762) + (-10.3815.238) + (-10.3815.238) + (30.619*-11.762) + (18.619*-6.762) + (26.619*-14.762) + (28.619*-9.762) = -962.676

β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619)

Thus, Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

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Answer:  D

Step-by-step explanation:

A) Incorrect.  The y-intercept is when x=1  for f(x) the y-intercept is (0, -1)

    For g(x) the y-intercept is (0, 1)

B) Incorrect.  There are 2 points that are the same (-1, 0) and (1,0), not 2 points

C) Incorrect.  the min value for f(x) is -1 but there are smaller numbers for g(x)

D) Correct.  The x-intercepts are the same 2 points that intersect discussed in B

Answer:

A) Incorrect.  The y-intercept is when x=1  for f(x) the y-intercept is (0, -1)    For g(x) the y-intercept is (0, 1)B) Incorrect.  There are 2 points that are the same (-1, 0) and (1,0), not 2 pointsC) Incorrect.  the min value for f(x) is -1 but there are smaller numbers for g(x)D) Correct.  The x-intercepts are the same 2 points that intersect discussed in B

Step-by-step explanation:

Answer:

I hope this is helpful

Step-by-step explanation:

mark brainlest pls

Answer:9x8=8x9

Step-by-step explanation:

Beacause if you multiply it is the same forwards and backwards

Answer:

9x8=8x9

by-step explanation:

Answer:

Width = 25

Length = 58

Step-by-step explanation:

Let the width = w

Length = 2w + 8

2(w + 2w + 8) = 166               Combine terms in the brackets

2(3w + 8) = 166                      Divide both sides by 2

(3w + 8) = 83                          Subtract 8 from both sides

3w = 83 - 8

3w = 75                                  Divide by 3

w = 25

L = 2*25 + 8                           Find the Length

L = 50 + 8 = 58