Describe how the graph of y = 2x is the same and different from the graph of y = 2x-7. Explain or show your reasoning.

Answer: c- 4(9+8)

Step-by-step explanation: 9+8=17 and multiply that by for its 68!

Step-by-step explanation:

What is another way to express 36 + 32?

36 + 32

=> 4(9 + 8)

Option (3).→ 4(9+8) is correct answer.

Answer:

Paris F, Abraham Lincoln belongs to none of these sets, and The Eiffel Tower is in more than one of these sets

Step-by-step explanation:

Answer:

A,D,E

Step-by-step explanation:

Given:

\(f(1)=3,f(n)=2\times f(n-1)\)         ...(i)

For \(n\geq 2\).

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

\(f(n)=r\times f(n-1)\)            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

\(r=2\)

Now,

First term: \(a=f(1)=3\)

Common difference: \(r=2\)

nth term of a GP is

\(f(n)=ar^{n-1}\)

Putting a=3 and r=2, we get

\(f(n)=3(2)^{n-1}\)

Therefore, the equation for the nth term is \(f(n)=3(2)^{n-1}\).

Answer:

4

Step-by-step explanation:

answer is 5*0.8=4 yards of fabric

Answer:

4 yards

Step-by-step explanation:

He need 4/5 yards to make 5 shirts. Multiply the two to find your answer

4/5 * 5 = 4

He will need 4 yards of fabric to make 5 shirts.

RP is an arc of a circle with radius 10 cm and central angle of  36⁰. The length of arc RP is 2π  cm

An arc of a circle is defined as a segment of the circumference of a circle.

Suppose the arc is facing a central angle θ, then the length of this arc is given by:

arc's length = (θ/360⁰) x C

Where:

C = circle circumference = 2πr

r = radius of the circle.

Hence,

arc's length = (θ/360⁰) x  2πr

In the given problem, the radius is the length of OR. Therefore,

r = 10 cm

θ = central angle = 36⁰

Plug these parameters into the formula:

length of arc RP = (36⁰/360⁰) x  2π x 10

                           = (1/10) x  2π x 10

                           = 2π  cm

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Answer:

I'm assuming you meant arithmetic progression. If the common difference is d and because 18 - 8 = 10 we can write 17 + 10d = 13. Solving for d we get d = -0.4 or -2/5.

The air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion.

According to Newton's Second Law of Motion, the rate of change of the airplane's momentum is equal to the sum of all the forces acting on the airplane. As the plane takes off and accelerates, the thrust of the engines acting in the forward direction causes the plane's momentum to increase. This increase in momentum results in an increase in air speed. The air resistance acting against the motion of the plane is another force that affects the plane's speed. As the plane accelerates, the air resistance increases, and the plane's speed decreases.

In summary, the air speed of a small airplane during the first 25 seconds of takeoff and flight can be modeled by Newton's Second Law of Motion, where the thrust of the engines and air resistance act as forces that influence the plane's air speed.

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The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

x - 2y + 1 = 0

Step-by-step explanation:

Given

y - 2 = \(\frac{1}{2}\) (x - 3) ← multiply through by 2 to clear the fraction

2y - 4 = x - 3 ( subtract 2y from both sides )

- 4 = x - 2y - 3 ( add 4 to both sides )

0 = x - 2y + 1, that is

x - 2y + 1 = 0 ← in general form

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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To convert the area of Annabelle's bedroom from square feet to square inches, she should consider the statements: "There are 12 inches in every foot" and "The area will increase by a factor of (1.2 * 10^1)."

When converting from square feet to square inches, Annabelle needs to consider the relationship between feet and inches. Since there are 12 inches in every foot, each dimension (length and width) of the bedroom will be multiplied by a factor of 12 when converting to inches. Therefore, the statement "The length and width will increase by a factor of 1.2 * 10^1" is incorrect.

Next, to calculate the area in square inches, we need to multiply the converted dimensions (in inches). Since both the length and width will be multiplied by a factor of 12, the area will increase by the square of that factor. The correct statement is "The area will increase by a factor of (1.2 * 10^1) * (1.2 * 10^1) = 1.44 * 10^2 = 144." This is because the area is calculated as length multiplied by width. Therefore, when Annabelle converts the area of her bedroom from square feet to square inches.

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Answer:

£15

Step-by-step explanation:

The 2 part of the ratio represents the £10 that Jim gets.

Divide the amount by 2 to find the value of one part of the ratio.

£10 ÷ 2 = £5 ← value of 1 part of the ratio, thus

3 parts = 3 × £5 = £15 ← amount Krutika gets

Answer:X=9

Step-by-step explanation:

x+18=3x

18=2x

x=9

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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The equation of the perpendicular line which is perpendicular to 7x - 3y = - 5 and passing through (35, -2) will be y = -(3/7)x + 13.

Let the equation of the line be y = mx + c. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

7x - 3y = - 5

3y = 7x + 5

y = (7/3)x + 5/3

The slope of the line is 7/3. Then the slope of the perpendicular line will be - 3/7. Then the equation of a perpendicular line is given as,

y = -(3/7)x + d

The equation of a line is passing through (35, -2), then we have

- 2 = -(3/7) 35 + d

-2 = - 15 + d

d = 13

The equation of the perpendicular line which is perpendicular to 7x - 3y = - 5 and passing through (35, -2) will be y = -(3/7)x + 13.

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Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

Answer:

C

Step-by-step explanation:

Use the distributive property to solve.

(5a²+2a-7)(3a²-a+1)

=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7

=15a⁴+a³-18a²+9a-7

Answer:

3.37

Step-by-step explanation:

I am not very sure but this would be the answer.

The Congruent can be proven in both triangle by using HL Criteria.

When two angles and one triangle's involved side are equal to two angles and the other triangle's included side, two triangles are said to be congruent. When all three sides of one triangle match the length of all three sides of the other, two triangles are said to be congruent.

We have Two triangles.

Now, we knot that the length opposite to 90 degree is Hypotenuse.

In both triangle the Hypotenuse side is equal.

Also, both triangles are right angled triangle.

We can use the Criteria Hypotenuse- leg congruency.

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We can conclude that only some of the ratios in Table A are greater than the ratios in Table B. (option-c)

To compare the ratios of squares to circles in the tables, we must divide the value in the Squares column by the value in the Circles column for each row in the table.

For Table A, the ratios of squares to circles are:

5/3 = 1.67

10/6 = 1.67

For Table B, the ratios of squares to circles are:

10/3 = 3.33

20/9 = 2.22

Comparing the ratios in Table A to the ratios in Table B, we see that the first two ratios are equal (1.67) and the last two ratios are different (3.33 in Table B is greater than 1.67 in Table A, and 2.22 in Table B is less than 1.67 in Table A).

Specifically, the ratio in the second row of Table B is greater than both ratios in Table A, but the ratios in the first row of each table are equal.(option-c)

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Answer:

1) (-2,-6)   2)  (2,-3)

Step-by-step explanation:

Look at the y and x-axis, and determine the point on the number

Answer:

2x and 4x i guess

Step-by-step explanation:

Answer:

x+21 y

Step-by-step explanation:

Answer:

The best answer would actually be C

In order to find the value of x, consider that the measure of the angle above angle of 142° is equal to the measure of the angle with expression 2(x+9).

Take into account that the sum of the angle of 142° and the angle above it is equal to 180°.

Then, you have:

142 + 2(x + 9) = 180

solve the previous equation for x, as follow:

142 + 2(x + 9) = 180 apply distribution property left side

142 + 2x + 18 = 180 simplify like terms left side

2x + 160 = 180 subtract 160 left side

2x = 180 - 160

2x = 20

x = 20/2

x = 10

Hence. the value of x is 10°

The arc in the circle is given as follows:

Minor arc Arc KLA.

An arc can be classified as either a minor arc or a major arc, depending on it's angle measures, as follows:

The arc for this problem is given as follows:

KLA.

The arc measure is less than half the circumference, that is, less than 180º, hence the arc is classified as a minor arc.

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Answer:

1. 89 2. 91

Step-by-step explanation:

180-29-62=118-29=89

180--89=91

Answer:

91 and 89 degrees respectively

Step-by-step explanation:

Sooooo, the exterior angle of any angle in a triangle is equal to the sum of the  2 other adjacent interior angles in a triangle. Therefore, we just need to do 29+62, which is 91 degrees, so the Exterior angle is 91 degrees. Next, to find the last unknown angle of a triangle, we can take the sum of the 2 other interior angles and subtract it from 180. Doing this here, we get 180-91, which is 89 degrees.

the asymptotic bound on the algorithm's running time is Θ(n^log_b(a)), which in this case is Θ(n^0.793).

To prove rigorously that f(n) = n² - 47n + 18 can be factored as (n - 2)(n - 9), we can use the factoring method.

Starting with f(n) = n² - 47n + 18, we look for two numbers, let's call them a and b, such that their sum is -47 and their product is 18.

We can try different factor pairs of 18 to find the combination that satisfies the conditions. In this case, the factors 2 and 9 satisfy the conditions because 2 + 9 = 11 and 2 * 9 = 18.

Now, we rewrite f(n) using these factors:

f(n) = n² - 47n + 18

    = n² - 2n - 9n + 18

    = (n² - 2n) + (-9n + 18)

    = n(n - 2) - 9(n - 2)

    = (n - 2)(n - 9)

Therefore, we have proven rigorously that f(n) = n² - 47n + 18 can be factored as (n - 2)(n - 9).

Regarding the algorithm's running time, T(n) = 3T(n/4) + n, we can apply the Master Theorem to find the asymptotic bound.

The Master Theorem is typically applied to recurrence relations of the form T(n) = aT(n/b) + f(n), where a ≥ 1, b > 1, and f(n) is an asymptotically positive function.

In this case, we have a = 3, b = 4, and f(n) = n.

Comparing the value of n in f(n) with n^log_b(a), we have n^log_b(a) = n^log_4(3) ≈ n^0.793.

Since f(n) = n is of the same order as n^log_b(a), we are in Case 2 of the Master Theorem.

Case 2 states that if f(n) is Θ(n^c) where c < log_b(a), then the running time T(n) is Θ(n^log_b(a)).

In our case, c = 1 and log_b(a) ≈ 0.793, which satisfies the condition c < log_b(a).

Therefore, the asymptotic bound on the algorithm's running time is Θ(n^log_b(a)), which in this case is Θ(n^0.793).

Note: The value of n^log_4(3) was approximated for simplicity, but the actual value can be calculated using logarithmic properties if needed.

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