Slope : 3/1 through (3,-1)

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

Answer:

The height of the plank after the π/3 rotation motion is 8.464 ft

Step-by-step explanation:

The radius of the wheel = 4 ft

The elevation of the bottom of the wheel from the bottom = 1 foot

The angle to which the wheel is rolled = π/3 radians

The height of a rotating wheel is given by the following relation

f(t) = A·sin(B·t + C) + D

Where;

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

A = The amplitude = 4

Which gives;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

The height of the plank after the π/3 rotation motion = 8.464 ft.

Answer:7 ft

Step-by-step explanation:

C

The correct classification for √18 is an irrational number, non-repeating decimal.

The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.

√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.

Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.

When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.

Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.

Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

1^15 is 15

Step-by-step explanation:

The number of beads used for Michelle necklace is 70.

Michelle made a bead necklace that was 13 inches long.  The length of the necklace, in inches, is equal to 3 added to one-seventh the number of beads, b.

The number of beads Michelle used for her necklace can be calculated as follows:

number of beads she used for her necklace  = b

Therefore,

13 = 3 + 1 / 7 b

13 - 3 = 1 / 7 b

10 = 1 / 7 b

cross multiply

b = 10 × 7

b = 70

Therefore,

number of beads she used for her necklace  = 70

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Answer:

Step-by-step explanation:

?

Answer:

16.3 meters

Step-by-step explanation:

1 pi radian =180°

0.19 =?

(0.19×180)÷3.142=10.9°

cos 10.9=16/d

d cos 10.9 =16

d=16÷cos 10.9

d=16.3 meters

The full question: A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. (1 liter = 1,000)


The bottle will NOT be empty in an hour. However, it will leak 26.6 milliliters in a minute, so 1.596m in an hour.

Hope that helps!

The walkway is 11 feet 6 inches long.

To find the length of the walkway, we need to add the lengths of the two boards.

The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.

The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.

Now we can add the lengths of the two boards:

6 + 11/12 feet + 5 + 7/12 feet

= 11 + 6/12 feet

=11 + 1/2 feet

Therefore, the walkway is 11 feet 6 inches long.

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Answer:

19.50/6=c c=3.25

Step-by-step explanation:

In this case C=3.25

Answer:

19.50÷6= c

Step-by-step explanation:

19.50÷6 =c

divide to find how much 1 cup of coffee is

Answer:

4/7Y + -1/7

Step-by-step explanation:

The number we are given here is made of 6 digitis none of them decimals. This means that each digit corresponds to:

This means that number 9 corresponds to the thousands and that is the correct option.

Step-by-step explanation:

since they are the midpoints, then the connecting line UX is also right in the middle of the lengths of TY and VW.

so,

UX = (TY + VW)/2

-p + 90 = (p + 50 + 2p + 75)/2

-2p + 180 = 3p + 125

55 = 5p

p = 55/5 = 11

Answer:

$80

Step-by-step explanation:

400 times 20%= 80

400-80= 320

the cost of the computer on the weekend costed 320, so you save $80

Answer:

80$

Step-by-step explanation:

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

Step-by-step explanation:

Answer:

$5520×6÷100×7=2318.40

Answer:

Statement of the given problem,

A shopkeeper made 20% profit on selling a bicycle at the labelled price but he would gain only Rs. 180 when 5% discount was allowed. What was the cost price of the bicycle?

Let C & M denote the required cost price & marked price respectively of the given bicycle.

Hence from above data we get following relations,

M = (1 + 20/100)*C

or M = (6/5)*C

(1 - 5/100)*M = 180 + C

or (19/20)*M = 180 + C

or (19/20)*(6/5)*C = 180 + C

or (57/50)*C - C = 180

or (7/50)*C = 180

or C = (50/7)*180 = 1285.71

1. It is the subset of a group  - Group sample.

2. It equally favors all members of a group sample   - Random sample.

3. It collects data on members of a group  -  Survey.

4. It does not equally favor all members of a group - Biased sample.

5. It includes all members of a group   -  Population.

6. It analyzes data collected from a group - Mean.

I have matched all concepts in accordance with statistical use, hope it helps.

Answer:

the answer is \(x=\frac{7}{9}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer:

b

Step-by-step explanation:

Answer:

19 bags of peanuts and 31 bags of pistachios

Errors:   Both of your upper bounds are wrong

               You subtracted the upper bound from the upper bound

Step-by-step explanation:

605 kg to the nearest 5 kg

lower bound is 602.5 (because it rounds up to 605)

upper bound is 607.4 (because it rounds down to 605)

Note: 607.5 would round up to 610

78 kg rounded to the nearest 1 kg

lower bound is 77.5 (because it rounds up to 78)

upper bound is 78.4 (because it rounds down to 78)

Note: 78.5 would round up to 79

Upper Bound - Lower bound is the maximum weight remaining on the elevator

607.4 - 77.5 = 529.9

529.9 ≤ 530 so YES the elevator is safe.

Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:

Distance from center = sqrt(r^2 - (c/2)^2)

Where r is the radius of the circle and c is the length of the chord.

In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.

So, substituting these values in the formula, we get:

Distance from center = sqrt(3.7^2 - (7/2)^2)

= sqrt(13.69 - 12.25)

= sqrt(1.44)

= 1.2 cm

Therefore, the distance of the chord from the center of the circle is 1.2 cm.

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

Answer:

Toby rode his bike further.  He rode 74 miles further than Wendy.  

Step-by-step explanation:

7 miles per day for 26 weeks is, 7 times 7 times 26, which is a total of  1274 miles.  200 miles each month for 6 months is 6 times 200, which equals 1,200 miles.  Toby rode more miles.

The equations that have x as a solution are 15x - 60 = 120 and 3x = 24.

The equation is as follows:

3x - 12 = 24

The equations that also has x as the solution can be found as follows:

Let's use the law of multiplication equality to find a solution that has x as the solution.

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

Multiply both sides of the equation by 5

3x - 12 = 24

Hence,

15x - 60 = 120

By adding a number to both sides of the equation, we can get same solution for x.

3x - 12 = 24

add 12 to both sides of the equation

3x - 12 + 12 = 24 + 12

3x = 24

Therefore, the two solution are 15x - 60 = 120 and 3x = 24

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