NO LINKS!! URGENT HELP PLEASE!!​

Answer:

GK = 9x-5

Step-by-step explanation:

GK = GH +HJ + JK

= (GJ - HJ) + (HJ) + (HK - HJ)

= (4x-3-x) + (x) + (6x-2-x)

= 3x-3 + x + 5x-2

= (3x+5x+x)+(-3-2)

GK = 9x-5

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Answer:

SSA (or AS*)

Step-by-step explanation:

SSA cannot booe used

just remember that

Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

The triangle ABC has been rotated counterclockwise about the origin for a total of (D) 90°.

The triangle ABC has been rotated around its axis.

As a result, the new triangle A'B'C' is formed.

(Refer to the graph below)

As a result, the change in coordinate point after rotation is:

This is the 90-degree counterclockwise rotation rule.

Therefore, the triangle ABC has been rotated counterclockwise about the origin for a total of (D) 90°.

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Answer:

4.5

Step-by-step explanation:

Formula for calculating slope can also be used in finding the rate of change of the given graph above.

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Take the coordinates of any two points on the graph. Let make use of (2, 9) and (4, 18).

Thus,

Rate of change = \( \frac{18 - 9}{4 - 2} = \frac{9}{2} = 4.5 \)

Rate of change demonstrated in the graph is 4.5 miles per hour.

Answer:4.5

Step-by-step explanation:

Answer: y = - 7/24

Step-by-step explanation: coz I juss know

The domain and range of function f using interval notation are; Domain = [-4, 4) and Range = [2, -2)

A function's domain is the collection of values that are plugged into it. This set includes the x values in a function.

The range of a function is the set of values that the function can accept.

For the given function.

The domain of the graph can be measured on the x-axis while the range of the graph can be measured on the y-axis.

This means that the point itself doesn't belong to the domain, so here we need to use an open interval symbol, which is (.

On the graph, the x values start at x = -2, and ends at x = 2

Similarly, for the range, the starting point is 2 which is a closed interval, which means 2 is included in the range and the end is at -2 with an open interval.

Thus, the interval notations, and values are;

Domain = [-4, 4) and Range = [2, -2)

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It shows that lim(6n⁴ + (-1)ⁿ2n³ + 5) = 2 by the ε - K definition of the limit of a sequence.

To show that lim(6n⁴ + (-1)ⁿ2n³ + 5) = 2, we need to show that for any ε > 0, there exists a positive integer K such that for all n ≥ K, |(6n⁴ + (-1)ⁿ2n³ + 5) - 2| < ε.

Let ε > 0 be arbitrary. We need to find a K such that for all n ≥ K, |(6n⁴ + (-1)ⁿ2n³ + 5) - 2| < ε.

Note that |6n⁴ + (-1)ⁿ2n³ + 5 - 2| = |6n⁴ + (-1)ⁿ2n³ + 3|.

For n = 1, 2, 3, ... we have:

|6n⁴ + (-1)ⁿ2n³ + 3| = 6n⁴ + 2n³ + 3 when n is even

|6n⁴ + (-1)ⁿ2n³ + 3| = 6n⁴ - 2n³ + 3 when n is odd

Thus, for any n, we have:

|6n⁴ + (-1)ⁿ2n³ + 3| ≤ 6n⁴ + 2n³ + 3

We want to find a K such that for all n ≥ K, |6n⁴ + (-1)ⁿ2n³ + 3| < ε + 1.

We can start by setting ε + 1 = 6K⁴ + 2K³ + 3, and solving for K.

ε + 1 = 6K⁴ + 2K³ + 3

ε = 6K⁴ + 2K³ - 2

Since the terms with the highest power of K grow the fastest, we can ignore the 2K³ term and find K such that 6K⁴ < ε/2. Thus, we have:

6K⁴ < ε/2

K⁴ < ε/12

K < (ε/12)^(1/4)

Let K be the smallest integer greater than (ε/12)^(1/4). Then for all n ≥ K, we have:

|6n⁴ + (-1)ⁿ2n³ + 3| ≤ 6n⁴ + 2n³ + 3

< 6n⁴ + 2n⁴ + 3 (for n ≥ K, n⁴ > K⁴ > ε/12)

= 8n⁴ + 3

Let N be any integer greater than or equal to K. Then for any n ≥ N, we have:

|6n⁴ + (-1)ⁿ2n³ + 5 - 2| = |6n⁴ + (-1)ⁿ2n³ + 3| < 8n⁴ + 3

< 8N⁴ + 3 (since n ≥ N)

< 8K⁴ + 3 (since N ≥ K)

< ε/2 + 3 (since K was chosen such that 6K⁴ < ε/2)

< ε

This shows that lim(6n⁴ + (-1)ⁿ2n³ + 5) = 2 by the ε - K definition of the limit of a sequence.

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Answer:

i dont know what the problem is

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

V(r) is the volume of basketball when the radius is r.

Answer:

B. the volume of the basketball when the radius is r

Step-by-step explanation:

The area of the given composite figure with a side length of 14mm and an edge length of 8mm is 158.2 mm².

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. A variety of forms that we encounter every day are composite figures that can be created from two or more fundamental figures.

The figure is given below.

From the figure, we can see that the sides of a triangle at the top and bottom are the same.

So the triangle cut from the bottom is placed at the top of the figure.

When the cut triangle is placed back at the bottom, we get a rectangle of length 14 mm and breadth 11.3 mm, as given below.

So the area of the given composite figure is the same as the area of the rectangle.

The area of the rectangle = length * breadth = 14 * 11.3 = 158.2 mm²

Therefore the area of the given composite figure is 158.2 mm².

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

\(\\ \rm\hookrightarrow tanx=P/B\)

\(\\ \rm\hookrightarrow tanx=105/161\)

\(\\ \rm\hookrightarrow tanx=0.62\)

\(\\ \rm\hookrightarrow x=tan^{-1}(0.62)\)

\(\\ \rm\hookrightarrow x=32.6\)

Question: A plant is 103 mi north and 161 east of an airport. Find x, the angle the pilot should turn in order to fly directly to airport.

Solution:

using tan rule:

\(\hookrightarrow \sf tan(x) = \dfrac{opposite}{adjacent}\)

\(\hookrightarrow \sf tan(x) = \dfrac{103}{161}\)

\(\hookrightarrow \sf x = tan^{-1}(\dfrac{103}{161} )\)

\(\hookrightarrow \sf x = 32.6\)

The equation to find out his score is above average is  x = 300 - 187

and it is 113.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jean Conrad is an amateur bowler with an average score of 187. She recently bowled a perfect 300 score.

Let the score above her average score be x,

∴ x = 300 - 187.

x = 113.

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The required value of Arc BC m = 140° Option B is correct.

Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.

Arc is the measure of angle on the circumference of circle.

Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc  AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40

Arc BC = 140°

Thus, the required value of Arc BC m = 140° Option B is correct.

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Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

$1,500

Step-by-step explanation:

Income - Expenses = Savings

     Income = 2 × 10,000 = $20,000

     Expenses = 3,500 + 10,000 + 5,000 = $18,500

$20,000 - $18,500 = $1,500 left for Savings

Remember that

The data set is a function if every element of the domain corresponds to exactly one element of the range

In this problem

the relationship between A and B does not represent a function, because

for one value of set A, there are two values of set B

example

set A ----> -4 -----------> correspond 3 and 2 values of set B

therefore

the answers are

does NOT represent a function

there is one number in set A

where there are multiple mapping

from set A the input, to set B the output

Answer:

3 bags with 6 pencils and 12 stickers.

Step-by-step explanation:

3 goes into both 24 and 36 which makes this possible

3 bags with 8 pencils and 12 stickers ( 3 ⋅ 8 = 24 and 3 ⋅ 12 = 36 )

4 bags with 6 pencils and 9 stickers ( 4 ⋅ 6 = 24  and 4 ⋅ 9 = 36 )

6 bags with 4 pencils and 6 stickers ( 6 ⋅ 4 = 24 and 6 ⋅ 6 = 36 )

12 bags with 2 pencils and 3 stickers( 12 ⋅ 2 = 24 and 12 ⋅ 3 = 36 )

Answer:

\({ \tt{( \frac{ - 4}{9} \times \frac{63}{28}) - ( \frac{33}{66} \times \frac{ - 51}{17} ) + ( \frac{5}{8} \times \frac{4}{10)} }} \\ \\ = { \tt{( \frac{ - 4}{28} \times \frac{63}{9}) - ( \frac{1}{2} \times \frac{ - 3}{1} ) + ( \frac{5}{10} \times \frac{4}{8} )}} \\ \\ { \tt{ = ( - 1) - ( - \frac{3}{2} ) + ( \frac{1}{4}) }} \\ \\ = { \tt{ \frac{3}{4} }}\)

Answer:

\(\sf \dfrac{3}{4}\)

Step-by-step explanation:

Given expression:

\(\implies \sf \left(\dfrac{-4}{9} \times \dfrac{63}{28}\right)-\left(\dfrac{33}{66} \times \dfrac{-51}{17}\right)+\left(\dfrac{5}{8} \times \dfrac{4}{10}\right)\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \times \dfrac{c}{d}=\dfrac{a \times b}{c \times d}:\)

\(\implies \sf \left(\dfrac{-4\times63}{9\times28} \right)-\left(\dfrac{33 \times -51}{66 \times 17}\right)+\left(\dfrac{5\times4}{8\times10} \right)\)

Multiply the numbers:

\(\implies \sf \left(\dfrac{-252}{252} \right)-\left(\dfrac{-1683}{1122}\right)+\left(\dfrac{20}{80} \right)\)

Reduce the fractions:

\(\implies \sf -1-\left(\dfrac{-3}{2}\right)+\left(\dfrac{1}{4} \right)\)

\(\textsf{Apply rule}\quad \:a-\left(-b\right)=a+b:\)

\(\implies \sf -1+\dfrac{3}{2}+\dfrac{1}{4}\)

Adjust the fractions based on the LCM of 4:

\(\implies \sf \dfrac{-4}{4}+\dfrac{6}{4}+\dfrac{1}{4}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)

\(\implies \sf\dfrac{-4+6+1}{4}\)

Add the numbers in the numerator:

\(\implies \sf \dfrac{3}{4}\)

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Answer:

D. $5,000 at 4 percent interest compounded for four years

Hope this helps :)

The loan that will cost its holder the most in interest is option D. $5,000 at 4 percent interest compounded for four years.

To calculate the interest for each option, with the  use of the relevant interest formulas.

For option A, compounded interest, by the use of the formula:

\(CI =A -P\\CI=A = P(1 + r/n)^{nt} - P\),

where:

Plugging in the values, gives:

\(C.I= 10,000(1 + 0.02/1)^{(1\times4)} - 10,000\)

By adding the value in the bracket gives:

\(C.I= 10,000(1 .02)^{4} - 10,000\)

To evaluate \((1.02)^4\),   raise 1.02 to the power of 4 gives:

\((1.02)^4 \approx 1.082432\)

Substituting this value back into the expression:

\(CI\approx10,000 \times 1.082432- 10,000\)

On multiplication gives:

\(CI\approx10824.32- 10,000\)

On subtraction gives:

\(CI\approx 824.32\)

2. For option B, simple interest, by the  use of the formula

\(SI = Prt\)

where:

Plugging in the values, we get:

\(SI = 10,000\times( 0.02\times4)\)

By multiplying the value in the bracket gives:

\(SI = 10,000\times 0.08\)

On multiplication gives:

\(SI = 800\)

For option C, simple interest  formula

\(SI = Prt\)

where:

Plugging in the values, we get:

\(SI = 5,000\times( 0.04\times4)\)

By multiplying the value in the bracket gives:

\(SI = 5,000\times 0.16\)

On multiplication gives:

\(SI = 800\)

For option D, compounded interest, we get:

A = 5,000(1 + 0.04/1)^(1*4) - 5,000 ≈ $6,181.73

For option D, compounded interest, by the use of the formula:

\(CI =A -P\\CI=A = P(1 + r/n)^{nt} - P\),

where:

Plugging in the values, gives:

\(C.I= 5,000(1 + 0.04/1)^{(1\times4)} - 5,000\)

By adding the value in the bracket gives:

\(C.I= 5,000(1 .04)^{4} - 5,000\)

To evaluate \((1.04)^4\),   raise 1.04 to the power of 4 gives:

\((1.04)^4 \approx 1.1699\)

Substituting this value back into the expression:

\(CI\approx5,000 \times 1.1699- 5,000\)

On multiplication gives:

\(CI\approx5,849.2928- 5,000\)

On subtraction gives:

\(CI\approx849.2928\)

Comparing the final loan interest, option D has the highest value, indicating that it will cost its holder the most in interest.

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Answer:

7.5 feet on either side of the mirror

Step-by-step explanation:

A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine the distance x on each side of the mirror?

36 inches = 3 feet

so we are looking for the space remaining after hanging a a 3' mirror on a 18' wall:

x  = 18'- 3'

space = 15'

The space on either side of the wall needs to be even so:

15'/2 = 7.5 feet on either side of the mirror

Answer:

C. 105° = (5x - 70)°

Step-by-step explanation:

Vertically opposite angles are equal in size.

105° = (5x - 70)°

The correct answer is choice C.

Meant to put the letter C