The rate of change of function f is the same from x = −9 to x = −4 as it is from x = 1 to x = 6.

Use the drop-down menu to complete the statement.


Function f is a(n)

quadratic or linear or exponential <-- which one of these three

function

Answer:

i think the answer was 42.25

Step-by-step explanation:

because first you have to multiply the 35 feet by what comes out and that result, which is 57.75, you challenge by the 100

Answer:

11 hours

Step-by-step explanation:

270/18=15 per hour

so 165/15 = 11

Answer:

11 hours

Step-by-step explanation:

270:18 simplified is 15:1

165/15 = 11

Hope this helps!

After then, there must be some closed interval A between 0 and 1 such that x is less than A. As a result, x must fall between 0 and 1, as was intended.

This is further explained below.

Generally, Let A represents the set of all of the closed intervals that are included in (0, 1). Our contention is that A = (0, 1). To demonstrate this, let's begin by demonstrating that the left-hand side contains the right-hand side in its entirety.

Let x ∈ (0, 1). Our goal is to demonstrate that there is at least one A A such that x A. We may define A to be the closed interval [x, x] that contains the single point x. Alternatively, if you don't wish to state that a point is an interval, we can take A to be something like [x/2, x] or [x/2, (x + 1)/2] as an alternative.

In conclusion, because x > A > A, we may deduce that x > A A A. Now we will perform the confinement in the other direction. Let's say that x > AA A.

If this is the case, there must be some closed interval A between 0 and 1 such that x falls inside A. Therefore, x should be between 0 and 1, as required.

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Answer:

The constant of proportionality is 490

The jet will take 12 hours to travel 5,880 miles

Step-by-step explanation: The miles multiply by 490 each time.

490 x 12 is 5,880

The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles

The time required is 12 hours

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance of the aircraft be = x

Let the total time taken by the aircraft be = y

Let the constant of proportionality be k

when x = 1 ,

y = 490

So , the equation will be y = kx

Substituting the values in the equation , we get

y = 490x

when x = 2

y = 490 ( 2 )

y = 980

Now , the time taken by aircraft to travel 5,880 miles is

Substitute the value of y as 5880 in the equation , we get

5880 = 490x

Divide by 490 on both sides of the equation , we get

x = 5880 / 490

x = 12

Therefore , the time taken is 12 hours

Hence , the constant of proportionality is 490

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Take intercepts from the graph:

Calculate the intercepts

Points are: (3, 0) and (0, - 9)

Ordered pairs given:

Take intercepts from the graph:

Calculate the intercepts:

Points are: (- 2, 0) and (0, - 4)

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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The binomial theorem says

\(\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n\)

where

\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

\(\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}\)

\(\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b\)

\(\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2\)

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

\(\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5\)

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

\(\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k\)

\(\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k\)

\(\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2\)

\(\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2\)

\(\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}\)

Answer:

40

Step-by-step explanation:

Answer:

27 cm²

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

Answer:

27 sq cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of triangle

= 6*6 -1/2(6)(3)

= 36 - 9

= 27 sq cm

Answer:

Ray

Step-by-step explanation:

A ray has a starting point and then continues in one direction.

A light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.

A light rail system refers to a smaller rail-based transportation system that operates within urban or suburban areas. It typically consists of light rail vehicles (LRVs) that run on tracks, similar to a traditional railway system. However, light rail systems are designed to serve shorter distances and provide more frequent stops compared to heavy rail systems.

One distinguishing characteristic of a light rail system is that it is powered by electricity. The LRVs usually run on overhead electrical wires or through an electrified third rail system. This electric power source allows for a more sustainable and environmentally-friendly mode of transportation.

Light rail systems are often integrated into the existing urban infrastructure and provide convenient and efficient transportation options for commuters. They offer a balance between the capacity of traditional heavy rail systems and the flexibility of buses. Light rail vehicles can accommodate a significant number of passengers and operate on fixed routes, offering a reliable and comfortable mode of public transportation.

Overall, a light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.

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Answer:

12. 30

13. 3

Step-by-step explanation:

Answer:

Hi im blackpink lisa

Answer:

x= -2

your ans is correct

Step-by-step explanation:

fighting!!!

Areas of the  SKCO and STAR are 9.5 unit² and 12 unit²

To find the area of a geometric shape in a grid paper, we need to count the total number of smaller squares inside the larger shapes. Here we ignore the squares which are smaller than half of the squares. We can count 2 half squares as 1 particular square.

Here we have

2 Quadrilaterals SKCO and STAR

Here to find the area of the shapes we can simply count the number of squares in each shape

For SKCO

Here is a total number of 8 complete squares and 3 half squares

Hence area of SKCO = 8 + 1 + 1/2 = 9.5 square units

For STAR

Here a total number of 8 complete squares and 4 squares that are more than half of the squares  

Hence, Area of the STAR = 8 + 4 = 12 square units

Therefore,

Areas of the  SKCO and STAR are 9.5 unit² and 12 unit²

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The multi-factor productivity of Cadbury's can be calculated by dividing the output (number of chocolate bars produced) by combined input factors (labor and overhead expenses). Correct answer is (c) 8.3 bars/$.

Multi-factor productivity measures the efficiency with which multiple inputs are used to produce a certain output. In this case, we need to calculate the productivity of Cadbury's by considering the number of chocolate bars produced and the combined input factors of labor and overhead expenses.

The number of chocolate bars produced in a day is given as 5000. Since a day is considered 8 hours, we can calculate the production rate per hour by dividing the total number of bars by the total hours:

5000 bars / 8 hours = 625 bars/hr. Therefore, option (a) 625 bars/hr is incorrect.

The combined input factors include the labor cost and the overhead expense. The labor cost per day is $200, and since there are 4 staff members, each staff member's cost would be $200 / 4 = $50. The overhead expense is given as $400 per day. Therefore, the total input cost is $400 (overhead) + $200 (labor) = $600.

To calculate the multi-factor productivity, we divide the output (number of bars) by the input cost: 5000 bars / $600 = 8.3 bars/$. Hence, the correct answer is (c) 8.3 bars/$, representing the multi-factor productivity of Cadbury's.

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Answer:88888888

Step-by-step explanation:

The required scale factor with respect to the pre-image and image is equal to 2.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:

Scale factor = Dimension of image/Dimension of pre-image

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = -10/-5 = -4/-2

Scale factor = 2.

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Answer:

Step-by-step explanation:

\(\large\underline{\bf\red{Solution:-}}\)

Given : ∠1 + ∠2 = 90° ( complementary )

To Find : The value of x & the two angles .

And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .

On adding the two Angles their sum will be 90 ° since they are two complementary angles .

⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .

⇒ 22x + 2° = 90° .

⇒ 22x = (90 - 2)°

⇒ 22x = 88° .

⇒ x = 88°/22 .

⇒ x = 4° .

Hence the value of x is 4° .

So ,

As per the given sample size, the shape of the population distribution when conducting t test is approximately normal.

Sampling.

in statistics, sampling refers the statistical procedure that is concerned with the selection of the individual observation; it helps us to make statistical inferences about the population.

Given,

Here we have the sample size is 81.

Now, we need to find the shape of the population distribution when conducting the t test.

Let us consider you are the manager of a restaurant for a fast-food franchise. And in last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.9 minutes.

Now, you are selecting a random sample of 81 orders.

As per the sample size, the sample mean waiting time is 3.72 minutes, with a sample standard deviation of 0.8 minute.

Now, we complete parts (a) and (b) below.

a. here at the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.9 minutes.

And state the null and alternative hypotheses.

H0: μ▼ H1: μ ▼

So, H0 is sufficient insufficient evidence to conclude that the population mean waiting time is different from 3.9 minutes .

b. According to the sample size is 81,

The shpe of the population distribution when conducting t test is approximately normal. As in the t test is appropriate for a large sample size.

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The total cost of tiling the yard is Rs. 9600.

The perimeter of a shape is defined as the total length of its boundary.

Given that, the edges of a triangular yard are in the ratio of 6:5:5 and the perimeter is 64 feet.

Let the sides of the yard be 6x, 5x and 5x,

6x+5x+5x = 64

16x = 64

x = 16

Therefore, the sides are 20 ft, 20 ft and 24 ft

Since, the triangle is an isosceles triangle because two sides are equal,

Finding the height by using Pythagoras theorem, we get,

20² = (24/2)² + h²

h² = 400 - 144

h² = 256

h = 16    (ignoring the negative 16 because height can't negative)

Area = 1/2*base*height = 1/2*24*16 = 192 ft²

For 1 ft² = Rs. 50

Therefore, for 192 ft² = 192*50 = Rs. 9600

Hence, the total cost of tiling the yard is Rs. 9600.

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A) The solution to m² + (1/m²) is gotten as; 14

B) The solution to m³ + ¹/₃ is gotten as; 52.312

We are given the algebraic equation;

(m² + 1)/m = 4

Multiply through by m to get;

m² + 1 = 4m

m² - 4m + 1 = 0

From online quadratic equation calculator, we have;

m = 3.732 or 0.268

A) Thus;

m² + (1/m²) = 3.732² + (1/3.732²)

⇒ 14

B) m³ + ¹/₃ gives;

3.732³ + (1/3) = 52.312

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Answer:

for a, 4a=6 in

a=6/4

a=3/2

a=1.5 in

for b, 4b=8 in

b=8/4

b=2 in

for c, 4c=10 in

c=10/4

c=5/2

c=2.5 in

Given that you are in the 88th percentile for GPA, there are 72 students that have a GPA greater than or equal to yours.

Percentile refers to the measure used to indicate the value below which a certain percentage of data lies.

If a data is said to be in the nth percentile, this means that n% of the data in the distribution are equal to or lower than that data.

If you are in the 88th percentile, then 88% of all the 600 students have a GPA equal or lower than yours.

88% of 600 = 0.88(600) = 528

students that have a GPA greater than or equal to yours = 600 - 528

students that have a GPA greater than or equal to yours = 72

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Answer:

Answer = C.31.25

Step-by-step explanation:

SO there are 4 years and every year the price gets 50% of so we take it as 100/2 = 50% so we have to divide 500 by 2 four times that is -

1. 500/2 ( 50% of 500) = 250

2. 250/2 (50% of 250) = 125

3. 125/2 (50% of 125) = 62.50

4. 62.50/2 (50% of 62.50) = 32.25

so we divided 500 4 times to get the answer as 32.25$

Answer:

\( p = \dfrac{q - 4r}{3} \)

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

\( p = \dfrac{q - 4r}{3} \)

Answer:

\(p=\frac{q}{3} - \frac{4}{3}r\)

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given \(3p + 4r = q\), we can do a few actions on it to isolate the variable.

Divide both sides by 3:

\(p + \frac{4}{3}r = \frac{q}{3}\)

Subtract \(\frac{4}{3} r\) from both sides:

\(p = \frac{q}{3} - \frac{4}{3}r\)

Hope this helped!

The correct answer to a linear formulation is option a) the objective function and all constraints must be linear

A linear formulation refers to a mathematical model in which both the objective function and all constraints are expressed in linear terms. This means that the relationships between variables are represented by linear equations, or equations of the form ax + b = c, where a, b, and c are constant values and x is the variable.

The main advantage of linear formulation is that linear problems can be solved efficiently using linear programming techniques, which are well-established and widely used in various fields.

In conclusion, in a linear formulation, all variables and coefficients must be linear, and the relationships between variables are expressed as linear equations.

Therefore, The correct answer to a linear formulation is option a) the objective function and all constraints must be linear

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Step-by-step explanation:

\( slope=\frac{( - 3) - 1}{ (- 9) - ( - 9)} = \frac{ - 4}{0} \)

This means ..here slope is not defined...

The points (-9, 1), (-9, -3) are parallel to y axis...

Answer:

You didn't tell me which one is the base or height

Step-by-step explanation:

Area of a triangle: \(\frac{1}{2} bh\)