PLEASE HELP!! I’m very confused

The equation of the line that represents the data in the table is y = 30x + 30.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept

From the data;

Point 1( 0,30 )

Point 2( 2,90 )

First, we determine the slope.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 90 - 30 )/( 2 - 0 )

Slope m = ( 60 )/( 2 )

Slope m = 30

Next, we determine the y-intercept b by substituting the given values into the equation of line formula.

y = mx + b

30 = (30)0 + b

30 = b

b = 30

Now, plug these values into y = mx + b to determine the equation of the line.

y = mx + b

y = 30x + 30

Therefore, y = 30x + 30 is the equation of the line.

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Answer:

2 and 3 look similar to A

1, 4, 5 and 6 are not similar to A .

hopefully you got it right.

Answer:

3 and 2 are similar and the rest are not.

The required formula for given transformation is  2√(x - 4) - 3.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

The formula for the function g(x) can be found by applying the transformations to f(x):

Shift down 3 units: g(x) = f(x) - 3

Shift left 4 units: g(x - 4) = f(x) - 3

So, the formula for g(x) is:

g(x) = f(x - 4) - 3

= 2√(x - 4) - 3.

Thus, required formula is 2√(x - 4) - 3.

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Carina have 300 cows and 400 goats originally.

for cows:

\(\frac{240}{(100-20)} =300\)

for goats:

\(\frac{240}{3} *5=400\)

Therefore, Carina have 300 cows and 400 goats originally.

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The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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Answer:

B. 3408pi

Step-by-step explanation:

formula volume of cone = 1/3 x pi x r x r x h

volume = 1/3 x pi x 12 x 12 x 71

= 3408pi

The volume of the cone is approximately 10,224 cubic units.

Option C is the correct answer.

It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is V = (1/3)πr²h,

We have,

The formula for the volume of a cone is V = (1/3)πr²h,

where r is the radius of the base of the cone, h is the height of the cone, and π is a constant approximately equal to 3.14.

Substituting the given values, we get:

V = (1/3)π(12²)(71)

V = (1/3)π(144)(71)

V = (1/3)(3.14)(144)(71)

V = 10,223.04

Rounding this answer to the nearest whole number, we get:

V ≈ 10,224

Therefore,

The volume of the cone is approximately 10,224 cubic units.

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Hence, required answer is 336

See the picture for the solution

Container + cement = 78.1

Container + sand = 25.5

Difference( cement - sand) = 78.1 -25.5 = 52.6

4 x Sand = 52.6

Sand = 52.6/4 = 13.15

Container = 25.5 - 13.15 = 12.35 kg

The factors of the polynomial are (x + 1)(x - 3).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The upper side of the tiles shows the expression (x + 1), and the left side shows the expression (x - 3).

In both cases, you have to consider how many + x or - x is (one +x in one case and three -x in the other case).

If you multiply the factors, you get,

(x + 1)(x - 3) = x² - 3x + x - 3  

(x + 1)(x - 3) = x² - 2x - 3 .

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Q. 157:

We are given the following expression

Let us factor out the expression

We can apply the difference of squares formula as shown below

Notice that these are three consecutive integers (n-1), n, (n+1)

Since there are 2 consecutive integers, it must be divisible by 2.

Also, since there are 3 consecutive integers, it must be divisible by 3.

The LCM of 2, 3 is 6

Therefore, the largest number is 6 by which the given expression is divisible.

Hello!

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19x+5+16x=180

First, add the x's together:

35x+5=180

Now, subtract 5 from both sides:

35x=180-5

35x=175

Divide both sides by 35 to isolate x:

x=5

Hope you find my answer helpful! Please give the crown if you do! (:

~SparklingFlower

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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Step-by-step explanation:

\( \frac{2}{7} x - 7 = 9x - 4\)

\( \frac{2}{7} x - 9x = - 4 + 7\)

\( \frac{2}{7} x - \frac{63}{7} x = 3\)

\( \frac{ - 61}{7} x = 3\)

\(x = 3 \times \frac{7}{ - 61} \)

\(x = - 0.344\)

The value for the expression, 5/8 - 3/5 in the simplest form is obtained as 1/40.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression is given as 5/8 - 3/5.

To subtract fractions, we need to have a common denominator.

The common denominator for 8 and 5 is 40.

So we rewrite the fractions with denominators of 40 -

5/8 = 25/40

3/5 = 24/40

Now we can subtract them -

25/40 - 24/40 = 1/40

Therefore, 5/8 - 3/5 in simplest form is 1/40.

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Answer:

A

Step-by-step explanation:

Let l represent length and w represent width

We know that l = 3w-6

(3w-6)(w) = the area

Use distributive property

\(Area = 3w^2-6w\)

A is the correct answer

Hope this helps :)

Answer:

76yhgdttyhgfd

Step-by-step explanation:

nhjgklh/f

Answer: The equation relating the total length of the road (L) to the number of days the crew has worked (D) can be written as:

L = 53 + 2D

This equation reflects the initial length of the road (53 miles) plus the 2 miles added per day, which is the constant rate of change.

To find the total length of the road after 34 days of work, we can substitute D = 34 into the equation:

L = 53 + 2(34)

L = 53 + 68

L = 121

Therefore, the total length of the road after 34 days of work is 121 miles

The correct option is (B) generated randomly from probability distributions.

The values for random variables in a Monte Carlo simulation are generated randomly from probability distributions.

A frequency distribution that has been idealized is a probability distribution. An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample.

A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution is a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum possible values, but the location of the possible value on the probability distribution will rely on a number of other variables.

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The correct answer is wider confidence intervals.

In statistics, a confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. The level of confidence is typically set at 90%, 95%, or 99%, and represents the percentage of intervals that would contain the true parameter if we were to repeat the sampling process many times.

Higher levels of confidence mean that we are more certain that the true parameter falls within the interval. However, achieving higher levels of confidence requires larger sample sizes or larger standard errors, which in turn leads to wider confidence intervals.

To understand this, consider the formula for a confidence interval:

CI = point estimate ± margin of error

The margin of error is a function of the sample size and the standard error. As the sample size increases or the standard error decreases, the margin of error decreases, which leads to a narrower confidence interval. Conversely, if we want to increase the level of confidence, we need to increase the margin of error, which requires either a larger sample size or a larger standard error, leading to wider confidence intervals.

Therefore, higher levels of confidence generally require wider confidence intervals, which means we are less precise in our estimate but more certain that the true parameter falls within the interval.

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The total number of customers in the second week is 140.

It is given that during its first week in business, a craft shop had 50 customers. During the second week, the shop had 160% more customers than during the first week.

Assume that the number of customers in the shop during the second week be {x}. So, we can write -

{x} = 50 + {160% of 50}

{x} = 50 + {160/100 x 50}

{x} = 50 + 16 x 5

{x} = 50 + 90

{x} = 140

Therefore, the total number of customers in the second week is 140.

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The Average acceleration is -4.39 fps^2 and the stopping time is 3.96 seconds

We know that

Average acceleration formula is: a = ( v - u ) / t

Stopping distance formula is: s = ( u * t ) + ( 0.5 * a * t ^ 2)

where v => initial velocity

u => final velocity

t => time taken

Initial velocity, u = 52 mph

Final velocity, v = 0 mph

Stopping distance, s = 145 feet

Initial velocity (u) = 52 mph = 52 * 1.47 fps (1 mph = 1.47 fps) ≈ 76.44 fps

s = (u * t) + (0.5 * a * t^2)

145 = (76.44 * t) + (0.5 * a * t^2)   --> ( Equation1 )

v = u + (a * t)

0 = 76.44 + (a * t) --> ( Equation2 )

Now, from equation2, at = -76.44

Placing at value in equation1, 145 = ( 76.44 + 0.5 * (-76.44) ) * t

t = 3.96

Placing t value in at = -76.44,

a = 4.39

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Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

To find the rate of increase of the number of bacteria in a culture, we can use the formula

rate of change = change in number of bacteria/time elapsed.

In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.

Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

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Step-by-step explanation:

i think question is not complete.

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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The expression which is equivalent to (r + 0.44r) is 1.44r. This means that the amount of rain in April was greater than the amount of rain in March by 44 percent.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

In march, a town received r inches of rain. In April, the town received (r + 0.44r) inches of rain. Thus, the total amount of rain in April month is,

\(r+0.44r=(1+0.44)r\\r+0.44r=1.44r\)

Now the rain in March is r inches and rain in April is 1.44r inches. Let, the amount of rain in April was greater than the amount of rain in March by x percent. Thus,

\(x=\dfrac{1.44r-r}{r}\times100\\x=\dfrac{(1.44-1)r}{r}\times100\\x=\dfrac{0.44r}{r}\times100\\c=44\%\)

Thus, the expression equivalent to (r + 0.44r) is 1.44r. This means that the amount of rain in April was greater than the amount of rain in March by 44 percent.

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Answer:

2) Square

hope this help

The quadrilateral must have diagonals that are congruent and perpendicular is Square.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

According to the question

Properties of following for their diagonals are :

Rhombus :

In a rhombus, diagonals bisect each other at right angles.

Diagonals bisect the angles of a rhombus.

Square:

The diagonals of the square bisect each other at 90°

The two diagonals of the square are equal to each other.

Trapezoid:

The length of both the diagonals is equal.

The diagonals of a trapezium always intersect each other.

Parallelogram:

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Therefore, according to there properties for their diagonals condition

that quadrilateral must have diagonals that are congruent and perpendicular  is satisfied by square only .

Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.

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The first five terms of the Fourier series of the function f(z) = e on the interval [-T,T] are: a₀ = 2T, a₁ = (2iT/π), a₂ = 0, b₁ = (-2iT/π), b₂ = 0.



These coefficients represent the amplitudes of the sine and cosine functions at different frequencies in the Fourier series representation of the given function.



To find the Fourier series coefficients, we integrate the function f(z) = e multiplied by the corresponding exponential functions over the interval [-T,T]. Starting with a₀, which represents the average value of f(z), we find that a₀ = 2T since e is a constant function. Moving on to a₁, we evaluate the integral of e^(iπz/T) over the interval [-T,T], resulting in a₁ = (2iT/π). Next, a₂ and b₂ are found to be 0, as the integrals of e^(2iπz/T) and e^(-2iπz/T) over the interval [-T,T] are both equal to 0. Finally, we calculate b₁ by integrating e^(-iπz/T), yielding b₁ = (-2iT/π). These coefficients determine the amplitudes of the sine and cosine functions at different frequencies in the Fourier series representation of f(z) = e on the interval [-T,T].

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