A home developer is planning to build h houses with identical floor plans. Each house will have 3 smaller bedrooms that each require 150 square feet of carpet and 1 larger bedroom that requires 270 square feet of carpet.

Answer:

y=1/2x-3

Step-by-step explanation:

starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.

It would not be negative 1/2 because we didn't go down 1 to the right.

Answer:

p = k(d)/u^2

Step-by-step explanation:

BRAINLIEST, PLEASE!

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Answer:

Simple interest= PRT/100

parameters

price =300

Rate=6%

Time=4years

300*6*4/100

7200/100

=72

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Step 1

The midpoint formula is given as;

Answer;

Answer:

Step-by-step explanation:

310 is the answer.

If a rocket is launched straight up, then the velocity at the top of its flight will be zero.

Given that the rocket is launched straight up.

We are required to find the velocity which will the be at the top of its flight.

Velocity is basically the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and measured by a particular standard of time.

At the top of flight its velocity becomes zero but not the acceleration because it is under the effect of gravitational acceleration.

Hence if a rocket is launched straight up, then the velocity at the top of its flight will be zero.

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

2

Step-by-step explanation:

Answer:

678.24 cubic centimeters

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

Switch sides

-5x > 15

Multiply both sides by: -1 (reverse the inequality)

(-5x)(-1) < 15 (-1)

Simplify

5x < -15

Divide both sides by 5

5x/5 < -15/5

Simplify: 5x/5

Divide the numbers: 5/5 = 1

= x

Simplify: -15/5

Apply the fraction rule: -a/b = a/b

= -15/5

Divide the numbers: 15/5 = 3

= -3

x < -3

Hope This Helps!

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

As the total circumference of a circle is 360 degrees, the measure of the unknown arc is 360-150-130=80 degrees.

So, by the inscribed angle theorem, angle 1 measures 40 degrees.

Answer:

solve using the easyest strategei

Step-by-step explanation:

nothing

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

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Answer:

The terms 2x and -5x are like terms.

Step-by-step explanation:

Like terms are terms that have the same variable(s) raised to the same power(s). In this case, both 2x and -5x have the same variable "x" raised to the same power "1". The only difference between them is the coefficient, which is 2 for 2x and -5 for -5x. However, the coefficients do not affect whether two terms are like or unlike terms.

So, because 2x and -5x have the same variable raised to the same power, they are like terms.

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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Value of the function given below is f(-4)= -18 , f(-2)= -10 , f(6)= 12 , f(-1)= -6

What is a function?

An algebraic function in mathematics is a function that may be described as the solution to a polynomial problem. Algebraic expressions with a finite number of terms and solely the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power make up algebraic functions rather frequently.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

f(-4)  means x =-4 which is less than -1

so the 4x-2 expression will be used

f(-4)= 4(-4)-2

f(-4)= -18

f(-2)  means x =-2 which is less than -1

so the 4x-2 expression will be used

f(-2)= 4(-2)-2

f(-2)= -10

f(6)  means x =6 which is greater than -1

so the x/2 +9 expression will be used

f(6)= 6/2 +9

f(6)= 12

f(-1)  means x =-1

so the 4x-2 expression will be used for x = -1

f(-1)= 4(-1)-2

f(-1)= -6

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Given

To find:

The value of x.

Explanation:

It is given that,

Since the adjacent angles in a Rhombus is Supplementary.

Then,

Hence, the value of x is 30°.

Answer:

y = - 3x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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Answer:

$519.96

Step-by-step explanation:

$12.38 × 42= $519.96

Answer:

19) The square root of 35 with one digit decimal accuracy is 5.9.

21) The sqrt. of 61 to the nearest integer is 8!

Step-by-step explanation:

take the square roots around 61.

the square root of 8 is 64,

the square root of 7 is 49.

61 is closer to 64.

Integers cannot be fractions, so the answer of 7.8 is rounded up to 8! (This Is For Number 21)am not really that sure about number 19

The equilibium price is 163.39 and the supply quantity is 150

He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164​

We need to find the equilibium price

The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .

At equilibium price

Demand function = supply function

q²+13/2q+64 = 10q²-45/2q-164​

(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0

9q² - 29q - 228

q = 6.895 = 6.9

The equilibium price = 6.9² + (13/2)6.9 + 64

= 163.36

similarly putting the value of q in supply function we get supply quantity   ie 149.95 = 150

Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150

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