WILL MAKE BRAINLIEST!! Solve for b.

When y = 100, x is approximately equal to 0.04.

If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.

To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.

Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.

16 = k/(5^2)
16 = k/25

To find k, we can cross multiply:
16 * 25 = k
400 = k

Now that we know the value of k, we can use it to find the value of y when x = 100.

y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04

Therefore, when y = 100, x is approximately equal to 0.04.

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71 x 98

to make an estimation, we round as follows:

70 x 100

and that's equal to 7000

Answer:

y=-3x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-5)/(1-(-1))

m=-6/(1+1)

m=-6/2

m=-3

y-y1=m(x-x1)

y-5=-3(x-(-1))

y-5=-3(x+1)

y=-3(x+1)+5

y=-3x-3+5

y=-3x+2

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

\(\boxed{m} = - \frac{2}{3} \)

Step-by-step explanation:

\(in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} \)

♨Rage♨

Answer:

H can't be a function.

Step-by-step explanation:

If x has more than one y then it doesn't pass the vertical line test and is not a function.

Answer:

A. 424.12 \(in^{2}\)

Step-by-step explanation:

The volume for a cylinder is (pi)(r^2)(h)

\(\pi r^{2} h\)

radius = 3

height = 15

(pi) (9) (15)

135pi = 424.1150082 = 424.12

hope this helps :)

It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

What is rate ?

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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The time complexity functions and big-O notations of the program is O(log n)

Let's analyze the time complexity of the code using mathematical terms.

The outer loop runs log n times, where n is the input size, because i doubles in each iteration until it reaches n. Therefore, the time complexity of the outer loop is O(log n).

For each iteration of the outer loop, the inner loop runs log i times. Since i doubles in each iteration of the outer loop, the number of iterations of the inner loop is 1, 2, 4, 8, ..., i.

The total number of iterations of the inner loop is the sum of the geometric series 1 + 2 + 4 + ... + n/2 + n. This series sums up to 2n - 1, which is O(n).

Therefore, the overall time complexity of the code is the product of the time complexity of the outer and inner loops, which is O(n log n).

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If you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

The candidate receives a learner's license after passing a written or online exam that assesses his understanding of traffic laws.

Thus, if you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

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The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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Step-by-step explanation:

Work with what is in the brackets first

10a-[4{5a-3(a-1)} - 3(4a-3a+1)]

=10a-[4{5a-3a+1-12a+9a-3}]

=10a-[4{-a-2}]

=10a-[-4a-8]

=10a+4a+8

=14a+8

Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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In system equation method,

a) Amount of red portion = 240 ml.

b) There are 300 mL of blue potion used and 100 mL of red potion used.

c)  There is a ratio of 2 (blue potion):1 (red potion), there will be a 35% amount of magical syrup.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

(a)  We can use a system equation here to solve this.

Let x=amount of red potion used

Let y=total amount of potion in solution

Then,

=>200 + x =  y

=> 0.15(200) + 0.75x = 0.25y

0.15(200) because 15% of the blue potion=.15 and there is 200mL.

0.75x because 75% of the red potion=.75 and there is x amount of it

0.25y because we want 25% of the total potion=.25 and there is y amount of it.

We can substitute for y in the second equation:

=>0.15(200) + 0.75x = 0.25(200 + x)

=> 30 + 0.75x = 50 + 0.25x

=> -20 = -0.5x

=> x = 40

Knowing that x=40, we know that y=240, meaning our answer is 240.

b.) We can again use a system for this problem

Let x=Amount of red potion

Let y=Amount of blue potion

=> x + y = 400

=> 0.3(400) = 0.15y + 0.75x

0.3(400)=30% of the 400 mL

0.15y=15% of the magic syrup

0.75x=75% of the magic syrup

We can substitute for x in this equation:

=>120 = 0.15y + 0.75(400 - y)

120 = 0.15y + 300 - 0.75y

-180 = -0.6y

y = 300, x = 100

There are 300 mL of blue potion used and 100 mL of red potion used.

c.) Let x=amount of red potion

Let y=amount of blue potion

=> 0.15x + 0.75y = 0.35(x + y)

0.35(x+y) because the total amount of the potion is x+y

=>0.15x + 0.75y = 0.35x + 0.35y

0.4y = 0.2x

2y = x

Whenever there is a ratio of 2 (blue potion):1 (red potion), there will be a 35% amount of magical syrup.

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The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground

The number of bookshelves that fit into alcove, is 8 bookshelves

Reason:

Height of the alcove = 2.5 m

Height of the books = 210 mm = 0.21 m

The gap above each book = 30 mm = 0.03 m

The thickness of the shelves = 20 mm = 0.02 m

Width of the alcove = 1.2 m

Height of the bottom shelf above the ground = 300 mm = 0.3 m

Required:

The number of shelves that can be fitted into the alcove

Solution;

Let x, represent the number of shelves that can be fitted into the alcove

We have;

An initial height of the bookshelves above the ground = 0.3 m

Height of a shelve, H = Height of books + Gap above books + Thickness of shelves

Height above ground, including the bottom shelve = 0.3 m

Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves

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To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Answer:

Hey There!

Let's solve...

\( {p}^{2} - {q}^{2} = ( p - q)(p + q) \\ \\ = 2(p + q) \\ \\ = \frac{7}{p + q} \\ \\ = \frac{7}{2} \)

The value of p+q is 7/2

Given the difference of two square

p^2 - q^2 = 7

Using the formula for finding the p+q

(p+q)(p-q) = 7

Given that p-q = 2

Substitute into the formula

2(p+q) = 7

p+q = 7/2

Hence the value of p+q is 7/2

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If you buy the device, you will save a total of $303,840 in labor costs. The value of the device is approximately $276699.38. The price you should pay for the note compounded monthly is approximately $70660.52.

28. To calculate the total amount of labor costs you will save, we need to determine the savings per year and then multiply it by the number of years the device will last.

The device saves you $2,110 per month in labor costs, so the annual savings would be $2,110 multiplied by 12 months, which is $25,320.

Now, we multiply the annual savings by the number of years the device will last. In this case, the device will last 12 years, so the total labor costs you will save would be $25,320 multiplied by 12, which equals $303,840.

Therefore, if you buy the device, you will save a total of $303,840 in labor costs.

29. Having the answer to Problem 28 helps you determine the total amount of labor costs you will save over the 12-year lifespan of the device. However, it does not provide enough information to decide whether you should buy the device or not. Other factors, such as the initial cost of the device, maintenance costs, potential revenue increase, and the opportunity cost of investing the money elsewhere, should also be considered before making a decision.

30. To calculate the value of the device, we need to find the present value of the future savings. Since we need to earn 7.8% compounded monthly on our money, we can use the present value formula:

Present Value = Future Value / (1 + r)^n

Where:
- Future Value is the total labor costs you will save ($303,840)
- r is the interest rate per period (7.8% divided by 12 months, which is 0.065%)
- n is the number of periods (12 years multiplied by 12 months, which is 144 periods)

Plugging in the values, we get:
Present Value = $303,840 / (1 + 0.065%)^144

Calculating this, we find that the value of the device is approximately $276699.38.

31. Whether you should buy the device or not depends on factors other than just the value of the device. Consider the initial cost of the device ($267,000), the value calculated in Problem 30 ($276699.38), and other relevant factors such as maintenance costs and potential revenue increase. Compare these costs and benefits to determine if the purchase is financially feasible and beneficial for your business in the long run.

32. To calculate the total amount you will receive from the promissory note, multiply the monthly payment by the number of payments. In this case, the monthly payment is $880, and the number of payments is 85 months.

So, the total amount you will receive from the promissory note would be $880 multiplied by 85, which equals $74,800.

33. To determine the price you should pay for the note if you want to earn 8% compounded monthly, we need to calculate the present value of the future payments using the present value formula:

Present Value = Future Value / (1 + r)^n

Where:
- Future Value is the total amount you will receive ($74,800)
- r is the interest rate per period (8% divided by 12 months, which is 0.067%)
- n is the number of periods (85 months)

Plugging in the values, we get:
Present Value = $74,800 / (1 + 0.067%)^85

Calculating this, we find that the price you should pay for the note is approximately $70660.52.

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Answer:

16, 49, 121

Step-by-step explanation:

1 656 m³

V = B×h/3

= 92m²×54m/3

= 92m²×18m

Answer:

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

Answer:

x= -3

Step-by-step explanation:

3x-1= -10

   +1   +1

 3x=-9  =  -3

Answer:

a

Step-by-step explanation:

is the answer

Answer:

HCF = 33.

Step-by-step explanation:

99 = 3*3*11

165 = 3*5*11

3 and 11 are common so the HCF = 3*11

= 33.

Answer:

(4.1) Equation Form: x = 4 , y = 1

Answer: (4,1)

Step-by-step explanation:

To estimate the chance of getting 12 heads and 13 tails when a coin is tossed 25 times, we can use the binomial probability formula.

The binomial probability formula is given by:

P(x) = (nCx) * p^x * q^(n-x)

Where:

P(x) is the probability of getting x successes,

n is the total number of trials,

x is the number of desired successes,

p is the probability of success on a single trial,

q is the probability of failure on a single trial, which is equal to 1 - p,

and (nCx) is the number of combinations of n items taken x at a time.

In this case, n = 25, x = 12 (number of heads), p = 0.5 (since the coin is fair), and q = 1 - p = 0.5.

Using the binomial probability formula, we can calculate the probability of getting 12 heads and 13 tails as:

P(12 heads) = (25C12) * (0.5^12) * (0.5^13)

Calculating this expression will give us the estimated chance of getting 12 heads and 13 tails when a coin is tossed 25 times.

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Step-by-step explanation:

Hey there!

By looking through figure, l and m are parallel lines and a transversal line passes through the lines.

Now,

7x + 12° = 12x - 28°( alternate angles are equal)

12°+28° = 12x - 7x

40° = 5x

\(x = \frac{40}{5} \)

Therefore, x = 8°

Now,

12x - 28° + 9y - 77 = 180° ( being linear pair)

12×8° - 28° + 9y -77° = 180°

96° - 28° + 9y - 77° = 180°

-9 + 9y = 180°

9y = 180° + 9°

y = 189°/9

Therefore, y = 21°

Therefore, X = 8° and y= 21° .

Hope it helps....

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

ANSWER:

(a) 0.23

(b) 8.33

STEP-BY-STEP EXPLANATION:

(a)

In this case we must divide the amount of hours (3) by the price ($13), in order to find the value of hours per dollar, like this:

(b)

In this case we must divide the time (25 minutes) by the distance traveled (3 miles), in order to find the value of minutes per miles: