Select all of the equations below in which a is directly proportional to b.
a=b²
b
= 1/1/20
a=
2
a= ²
b
a=2b
a=b+2

Answer:

x=3

Step-by-step explanation:

Why? well this is simple. Just subtitute x-1  into y in the equation above.

To determine the basic fortnight for the operator, we need to divide the operator's earnings by their basic rate of pay.

$671.25 ÷ $8.95 = 75.05

The basic fortnight for an operator is the number of fortnights the operator has worked at their basic rate of pay. In this case, the operator has earned $671.25 at a basic rate of $8.95 per fortnight. To determine the basic fortnight, we need to divide the operator's total earnings by their basic rate of pay.

$671.25 ÷ $8.95 = 75.05

So, the operator has worked 75.05 basic fortnights. It means he has been working for 75.05*14=1053 days. This is the number of days the operator has worked at their basic rate of pay. It is important to note that this calculation assumes that the operator has not earned any overtime pay or other bonuses.

$671.25 ÷ $8.95 = 75.05

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Answer:

(0.5415 ; 0.6785)

Step-by-step explanation:

Sample size, n = 195

Number of samples who werw in favor, x = 117

Phat = 117 / 195 = 0.609 = 0.61

The confidence interval :

Phat ± Margin of error

Margin of Error = Zcritical * √(phat(1-phat)/n)

Zcritical at 95% = 1.96

1 - phat = 1 - 0.61 = 0.39

Margin of Error = 1.96 * √((0.61*0.39)/195) = 0.0685

Confidence interval :

Lower boundary : 0.61 - 0.0685 = 0.5415

Upper boundary : 0.61 + 0.0685 = 0.6785

(0.5415 ; 0.6785)

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

Therefore , the solution of the given problem of function comes out to be  f(x) = 2871 thousands.

A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.

Here,

Given :

=>  f(x) = 225(1.29)×

After 10 year number of years x =10

=> f(x) = 225(1.29)¹⁰

=> f(x) = 12.76 * 225

=>  f(x) = 2871 thousands.

Therefore , the solution of the given problem of function comes out to be  f(x) = 2871 thousands.

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The dy for the given values of x and dx is dy = 0.5632, and their difference to the nearest thousandth is 0.0005.

The difference between dy and Δy can be determined by subtracting dy from Δy and taking the absolute value. In this case, dy approximates Δy to the nearest thousandth with a difference of 0.0005. This is a very small difference, indicating that dy is an accurate approximation for Δy.

The accuracy of dy can be attributed to the fact that the function f(x) = ln(1 + x^2) is a smooth function, meaning that the rate of change at a point (i.e., the derivative) is nearly constant. This allows dy to accurately approximate the change in y, Δy, over a small interval of x. Furthermore, the choice of dx = 0.2 is a small enough value that it does not significantly affect the accuracy of the approximation.

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Answer:

-18a^3b^5

Step-by-step explanation:

First do -ab^2*-6ab^2=-6a^2b^4

Then multiply that by 3ab=-18a^3b^5

The limit is x---->4-

The negative show that x approaches from the left

Now

As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.

Let's pick a Number

Say 3.99

Substitute this... You have

3.99/3.99-4

3.99/-0.01

If we choose x to be 3.999

we will have

3.999/-0.001

Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY

Why?

As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result

In our case... The denominator is negative... So it Will Approach a very Huge Negative Number

Hence

Answer.. X WILL APPROACH NEGATIVE INFINITY.

Vertical asymptotes are the zeroes of the denominator of a function

The denom. is x-4

Equate to zero to get the asymptote

x-4=0

x=4

Hence... There will be a vertical asymptote at x=4.

Have a great day!

Answer: -3

Step-by-step explanation: x divided by x = 1 and 1 - 4 = -3

Answer:

1.05

Step-by-step explanation:

100% is 1.0, therefore 105% will be 1.05.

Explanation:

Think of 105% as 105.0%

Now remove the percent sign to get 105.0

Lastly, move the decimal point two spots to the left to get to 1.05

Percentages that are over 100% convert to decimal values larger than 1; on the flip side, percentages that are under 100% are between 0 and 1.

More Examples:

76% = 0.76

18% = 0.18

255% = 2.55

[tex]x = 140°[/tex]

hope it helps UwU

Answer:

X = 140 degrees

Step-by-step explanation:

Those lines and angles look identical, so I'll just assume they are

40 degrees on one side should be the same on the other side (if identical). So that means we can just subtract 40 from 180 (because 180 is equal to a flat line), so the answer would be 180-40 =140 degrees

Answer:

=

Step-by-step explanation:

Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60

Answer:

|60| = |-60|

Step-by-step explanation:

| | means absolute value

The absolute value of any number is that number but in its positive form

So the absolute value of 60 is 60

The absolute value of -60 is positive 60

60 is equal to 60 therefore |60| = |-60|

Answer:

Answer below!

Step-by-step explanation:

since y = -3x + 1, you can just plug those numbers in on the first equation.

6x + 2(-3x+1) = 2 (see how I replaced y into -3x + 1)

then distribute 2.

6x - 6x + 2 = 2, subtract 2 to both sides

6x - 6x = 0, combine x

0 = 0 (this means it has an infinite amount of solutions)

The depiction of numbers as an equilateral triangle organized in a series is known as a triangular number sequence. These numerals follow a 1, 3, 6 order.

A number that may be expressed as the sum of the initial n positive integers is referred to as a triangular number.

Thus, the first three triangular numbers 1, 3, 6.

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Answer:

∠ B ≈ 53°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{4}{3}[/tex] , then

∠ B = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53° ( to the nearest degree )

Answer:

Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.

Answer:

The perimeter is the distance around a figure.

Step-by-step explanation:

For example, if I have a square where each side is 5 inches.  The perimeter would be 20 inches.  5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.

Answer:

15 buttholes

Step-by-step explanation:

Step-by-step explanation:

[tex] = {x}^{2} \div {x}^{2} + 3x - 5x + 6 - 10 \\ = 1 - 2x - 4 \\ = - 2x - 4 + 1 \\ = - 2x - 3 \\ = - 1(2x + 3)[/tex]

HI,HOPE THAT IS HELPFUL.

Answer:

4. obtuse

5. right

6. obtuse

6. acute

Step-by-step explanation:

4. not a triangle, 2+4 = 6

5. 100 + 576 = 26^2 -> right

6. 8, 16 < 36 -> obtuse

7. 43.6 > 42.25 -> acute

Answer:

it would be 2x^2 +4x+8=0

Answer:

True

Step-by-step explanation:

TRUE.  y = -1 is a horizontal line.  A line perpendicular to this horizontal line is a vertical line whose slope is not defined.

The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

what is sample size?

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.

The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

It's important to take into account the following data:

The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.

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Answer:

22.2 years

Step-by-step explanation:

Doubling formula is given as:

P(t) = Po × (2)^t/k

Where

Po = Initial amount invested = $5600

P(t) = Amount after time t = $72500

k = Time it takes to double = 6 years

t = Time in years = ??

Hence:

72500 = 5600 × (2)^t/6

Divide both sides by 5600

72500/5600 =( 5600 × (2)^t/6)5600

12.946428571 = (2)^t/6

Take the In of both sides

In 12.946428571 = In (2)^t/6

In 12.946428571 = t/6 In (2)

Divide both sides by In 2

In 12.946428571/In 2 = t/6

3.6944822628 = t/6

Cross Multiply

t = 6 × 3.6944822628

t = 22.166893577 years

Approximately

t = 22.2 years

Therefore, it would take 22.2 years

After simplifying each expression, we get (2+5a - 10 b), (8a² - 15ca +2c),

(11- 2a+b) and (a+ b) respectively.

The word simplify means to write an expression, equation or problems

in the simplest form so as to easy to evaluate it. we simplify an expression by removing the parenthesis and collecting like terms.

exercise 1.

given, A = 7 - 4a + 7a - 3b -5 -7b +2a

We collect the like term and get

A= 7 - 5 -4a +7a +2a -3b- 7b

A = 2 + 5a -10b

next, given B = 4a × 2a -5c - c +8c -3c × 5a

             B = 8a² -6c +8c - 15ca

        B = 8a² -15ca +2c

exercise 2.

given, A = 7 + [(2- a) -( 2+a) +9] + (b-5)

at first, we remove the parenthesis and get

A= 7 + [2-a - 2 -a+ 9] +b- 5

A = 7 + 9- 2a +b- 5

after collecting the like term

A = 11- 2a + b

given, B = 15 - [(7-b) - 9- (a-17)]

  B = 15 - [7- b- 9 - a+17]

 B = 15 - [15 - b -a]

after removing the parenthesis

B = b +a

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The correct option regarding the high tide and the low tide is given as follows:

B. high tide at 6 a.m. and 6 p.m., depth of 28 ft.

low tide at 12 midnight and 12 noon, depth of 20 ft.

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

The amplitude for this problem is of 4, with a vertical shift of 24, hence the low and high tides are given as follows:

The function is reflected over the x-axis, due to the multiplication by the negative number, hence the low tide is at midnight.

The period of the function is given as follows:

2π/(π/6) = 12 hours.

Thus the low tide also happens at noon, meaning that option B is correct.

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Answer:

17.5%

Step-by-step explanation:

Subtract one value from the other. (i does not matter the sign)  

 400 − 330 = 70, so his error is 70

Now  find the Percentage Error:

Divide by the exact value and make it a percentage:

70/400 = 0.175 = 17.5%

Answer:

Step-by-step explanation:

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Let us represent

Steaks = x

Water melons = y

Our system of equations is given as:

x + y = 6.. Equation 1

x = 6 - y

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50.

$2× x + 1.5 × y = $10

2x + 1.5y = 10... Equation 2

Substitute

2(6 - y) + 1.5y = 10

12 - 2y + 1.5y = 10

12 - 10 = 2y - 1.5y

2 = 0.5y

y = 2/0.5

y = 4