Does this represent a linear relationship or
exponential relationship?
Input Output
3 5
4 7
5 9
6 11

Answer: 2.63

Step-by-step explanation:

Using the formula \(A=\frac{1}{2} ab \sin C\),

\(6\sqrt{2}=\frac{1}{2}(2x-1)(x+3) \sin 45^{\circ}\\\\6\sqrt{2}=\frac{(2x-1)(x+3)}{2} \cdot \frac{\sqrt{2}}{2}\\\\6=\frac{(2x-1)(x+3)}{4}\\\\24=(2x-1)(x+3)\\\\24=2x^2 +5x-3\\\\2x^2 +5x-27=0\\\\x=\frac{-5 +\sqrt{5^2 -4(2)(27)}}{2(2)} \text{ } (x > 0)\\\\x=\frac{\sqrt{241}-5}{4} \approx 2.63\)

Answer: B) 75 km/h (from this answer my brother told and he good at math so I hope this is Correct.)

Answer:

1/8

Step-by-step explanation:

Answer:

8/100

Step-by-step explanation:

The percentage 8% can be written as \(\frac{8}{100}\) as a fraction.

The percentage is a method of proportionating a given fraction out of 100. x% implies x out of 100 always. The method is used to facilitate comparison is part of a whole when the total figure differs in different cases.

Fraction, on the other hand, is simply the expression of part of a whole. The numerator referring to the part and denominator to the whole. The whole need not be 100.

The percentage 8% means 8 out of 100. Thus the fraction becomes \(\frac{8}{100}\).

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

11

Step-by-step explanation:

we are allowed to change the vertical axis on a line chart.

suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.

dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.

hence, we can change the scale values on a line chart to meet the requirement of the plot.

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Answer:

I would say option 3

Step-by-step explanation:

If "t" represents months, then 145t would mean $145 per month, 85 would probably be the amount you started with since it's added on.

If in t months, the money you have saved, S, is given by the equation

S = 145t + 85 then 85 means you started with $85 and 145 means that you save $145 per month

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given that in t months, the money you have saved (S), is given by the equation S = 145t + 85.

Here t is the independent variable which represents no. of months, 85 is a constant means you started with $85, and 145 means that you save $145 per month.

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Answer:

Addition

Step-by-step explanation:

If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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The probability that 35 or more people from the sample of 215 customers are concerned about the digital environment is 0.7043.

To calculate the probability that 35 or more people from the sample of 215 customers are concerned about the digital environment, we can use the binomial distribution formula.

The binomial distribution is applicable here because we have a fixed sample size (215 customers) and each customer can be categorized as either concerned or not concerned.

Let's denote p as the probability that a randomly selected customer is concerned about the digital environment.

From the given information, we know that 29% of technology experts believe our lives will be more harmed than helped, so p = 0.29.

The formula for the probability mass function of the binomial distribution is:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of k successes (in this case, customers concerned about the digital environment)

C(n, k) is the number of combinations of n items taken k at a time

\(p^k\) is the probability of k successes

\((1 - p)^{(n - k)\) is the probability of (n - k) failures

Now, let's calculate the probability of having 35 or more customers concerned:

P(X ≥ 35) = P(X = 35) + P(X = 36) + ... + P(X = 215)

Using this formula, we can calculate the probability using a cumulative approach:

P(X ≥ 35) = 1 - P(X ≤ 34)

Calculating this probability requires summing up a large number of individual probabilities, which can be time-consuming.

Therefore, it is more practical to use statistical software or calculators to obtain an accurate answer.

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Step-by-step explanation:

The question is not properly formated, here is the correct format

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=274−4x, find the revenue if 12 units are sold. Round to two decimal places.

Step one

given the following expression

Revenue

\(R(x)=xp(x)\)

Unit price

\(p(x)=274-4x\)

Required

the revenue when 12 units were sold

let us find the unit price for 12 units

\(p(x)=274-4x\\\\p(x)=274-4(12)\\\\p(x)=274-48\\\\p(x)=226\)

Hence the unit price is$ 226

\(R(x)=xp(x)\\\\R(x)=12*226\\\\R(x)=2712\)

Revenue is $2712

There is a revenue of $5.04 if 12 units are sold.

Revenue is the product of the number of units and the price per unit. It is given by:

Revenue = number of units * price per unit

Revenue = x * p(x)

Given that the price per unit is:

\(p(x)=27(4)^{-\frac{x}{4} }\\\\For\ x=12:\\\\\\p(12)=27(4)^{-\frac{12}{4} }=\$0.42\)

Therefore the revenue is:

Revenue = x * p(x) = 12 * 0.42

Revenue = $5.04

Therefore there is a revenue of $5.04 if 12 units are sold.

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The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

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the turtle will travel 26 meters in 13 minutes.

In physics and mathematics, distance (d) is the measure of the length between two points in a straight line or along a curved path. It is a scalar quantity that is usually measured in units of meters (m) or other distance units such as kilometers (km), miles (mi), feet (ft), etc.

a. The rule for the distance d traveled by the turtle as a function of minutes traveled t can be expressed as:

d = 2.0t

Where d is the distance in meters and t is the time in minutes.

b. To find out how far the turtle will travel in 13 minutes, we can simply substitute t = 13 in the formula we obtained in part a:

d = 2.0t = 2.0 x 13 = 26 meters

Therefore, the turtle will travel 26 meters in 13 minutes.

c .The graph is shown below:

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Answer:

The slope would be 2

Step-by-step explanation:

Please brainliest!

And hope this helped you!

I also answered first!

And tell me If I am wrong! :D

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

395,500

Step-by-step explanation:

The computation is shown below:

Supplier to retailer = 320,000

Vat tax = 13%

Retailer spent for transportation = 10,000

local tax = 5,000

Profit = 15,000

Now based on the above information

the customer would pay the amount with 13% vat is

= (320,000 + 10,000 + 5,000 + 15,000) + 13% of total

= 350,000 + 13% of 350,000

= 350,000 + 45,500

= 395,500

The diagonals of a parallelogram bisect one another. This is illustrated below.

A parallelogram is a straightforward quadrilateral with two parallel sides. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.

A quadrilateral with two pairs of parallel sides is known as a parallelogram. A parallelogram's opposite sides are equal in length, and its opposite angles are equal in size. Furthermore, the interior angles on the same transversal side are supplementary. The total of all interior angles is 360 degrees.

Let's illustrate the parallelogram as ABCD.

AC and BD are diagonals  

AC and BD intersect at point E

AB is parallel to CD | opposite sides of a parallelogram are parallel

AB = CD | are congruent opposite sides of a parallelogram  

angle BAC = angle DCA |interior angles of parallel lines

angle ABD = angle CDB |interior angles of parallel lines

Triangle ABE = Triangle CDE | ASA

EA = EC | corresponding sides of congruent triangles are congruent.

E bisects AC| AE = EC

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Answer:

x= -3

Step-by-step explanation:

i hope its right

p varies directly as q,

Mathematically,

Let us now introduce a constant k,

Let us now substitute the values of p and q into the equation and solve for k.

Let us now substitute 3.2 for k back into the equation inorder to get the equation that relates p and q.

Hence, the equation that relates p and q is,

Answer:

1017.88cm³

Step-by-step explanation:

The volume of cone will be;

⇒ V = 11,445.3 cm³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A cone has a radius of 9 cm and a slant height of 15 cm.

Now,

Since, Radius of cone (r) = 9 cm

Slant height (h) = 15 cm

We know that;

⇒ The volume of cone (V) = π r³ h / 3

Substitute all the values, we get;

⇒ V = 3.14 × 9³ × 15/3

⇒ V = 3.14 × 729 × 5

⇒ V = 11,445.3 cm³

Thus, The volume of cone = 11,445.3 cm³

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For this problem we will use the formula for the arc length a circle with radius r and with a given angle θ in radians:

Substituting θ=1.5 radians and r=5yd we get:

Answer:

In order for each child to receive a book, first distribute one book to each.

This can be done in [math] 5\times 4\times 3 = 60 [/math] ways.

The remaining two books can be distributed in [math] 3^2 [/math] ways.

Total number of ways[math] = 60 \ times 9 = 540 [/ math]

Answer:

answer is +4...

Step-by-step explanation:

when x=6, the expression becomes

2(6)^2+ 4-5

2(36)+(-1)

72-1=71

therefore 71+4 gives 75

Answer:

3 white to 5 yellow

the third choice

Step-by-step explanation:

white     9 parts

yellow   15 parts

9 white to 15 yellow

Divide by 3

3 white to 5 yellow

Answer:

I believe the answer is neither

Step-by-step explanation: