A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?


PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

1.D

2. B

Step-by-step explanation:

by inspection that's the answer

I just did cross multiplication and added lcm

but to get the answer you multiply through by -1 (I mean both numerator and denominator)

2. by inspection answer b is the best fit

Answer:

\(\boxed {j = -20}\)

Step-by-step explanation:

-Solve for the value of \(j\):

\(20 - 17j = -18j\)

-Take \(18j\)and add it to \(17j\):

\(20 - 17j + 18j = -18j + 18j\)

\(20 + j = 0\)

-Subtract both sides by \(20\):

\(20 - 20 + j = 0 -20\)

\(\boxed {j = -20}\)

So, the value of \(j\) is \(-20\).

Area of square = \(x^{2}\) where x = the side.

So, the area of a square garden that is 14ft on the side is equal to \(14^{2}\) or 196 ft2.

Answer:

5

Step-by-step explanation:

20×2÷8

hope it helps you

Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

Answer:

density

Step-by-step explanation:

the number of population distributed in a certain area, that is generally in km², is the density.

It can be calculated with the following data: Number of population/km²

Extra information: it obviously is an approximated value, because in certain areas it can be much higher (metropolis, for example, generally have a very high population density, meanwhile in the countryside it can be much lower). Generally, it varies from area to area.

The number of individuals in a population divided by the area that the population takes up is known as the density of the population.

Population density refers to the number of individuals in a population per unit of area. It is a measure of how crowded or dispersed a population is within a given area.

Population density is calculated by dividing the total population of an area by the total land area or water area of that region. The resulting number is often expressed in individuals per square kilometer or square mile, depending on the units of measurement used.

Population density is an important ecological concept because it can affect the ability of a population to survive and thrive within a given area. Populations that are too dense may experience competition for resources, disease outbreaks, and other negative effects.

On the other hand, populations that are too dispersed may have trouble finding mates and maintaining genetic diversity. Population density can also be used to track changes in populations over time, and to inform conservation and management efforts.

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In the function y = x, both the domain and the range are all Real numbers. Then, it's the correct option

We can be 98% cοnfident that the true difference in mean amοunt οf fοοd Buster eats when οffered Busted Nuggets and Busted Tenders is between -14.566 and -7.634 grams

Calculate the sample mean difference and the standard errοr οf the difference in οrder tο build the cοnfidence interval fοr the difference in the mean amοunt οf fοοd that Buster cοnsumes when served Busted Nuggets and Busted Tenders.

The sample mean difference is:

X1 - X2 = 152.6 - 163.7 = -11.1 grams.

The standard errοr οf the difference can be calculated as fοllοws:

SE = √(S1²/n1 + S2²/n2)

where S1 and S2 are the sample standard deviatiοns οf the twο grοups and n1 and n2 are the sample sizes.

Substituting the values, we get:

SE = √(4.45²/31 + 5.75²/31) = 1.463

ME = t x (SE) = 2.365 x 1.463 = 3.466

Finally, the cοnfidence interval fοr the difference in mean amοunt οf fοοd Buster eats is:

-11.1 - 3.466 < µ1 - µ2 < -11.1 + 3.466

-14.566 < µ1 - µ2 < -7.634

Hence, we have a 98% cοnfidence level that Buster actually cοnsumes between -14.566 and -7.634 grammes less fοοd οn average when given the chοice between Busted Nuggets and Busted Tenders. This periοd can be understοοd as Buster favοring Busted Tenders because οf the negative.

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Answer:

3x^2+17x-6=0.

a = 3; b = 17; c = -6;

Δ = b2-4ac

Δ = 172-4·3·(-6)

Δ = 361

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=361−−−√=19

x1=−b−Δ√2a=−(17)−192∗3=−366=−6

x2=−b+Δ√2a=−(17)+192∗3=26=1/3

Step-by-step explanation:

Answer:

-6 and 1/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the are is pi times radius times radius

so do the square root of 25, which is 5.

this means that the radius is 5

Answer:

five (5).

Step-by-step explanation:

Area of circle =pi r^2

given that area is 25pi

now equate both .....we get

25pi=pi r^2

25=r^2

r=5

Solution:

Given;

The simple interest, I, is;

Thus, the amount to be repaid is;

The amount that must be repaid is $24,992

Answer:

b = 22

Step-by-step explanation:

Here b represents the length of the hypotenuse, and 11 is the length of the side opposite the 30 degree angle.  We want to find the value of b.  We use the sine function here because we have the angle measurement (b), the angle 30 degrees and the "opposite side" 11:

sin 30 degrees = (1/2) = 11/b, which, if inverted, is 2 = b/11, or b = 22

Answer:

Step-by-step explanation:

\(b^2=h^2-a^2\\ \\ b^2=17^2-8^2\\ \\ b^2=225\\ \\ b=15\\ \\ A=15(8)/2\\ \\ A=60cm^2\)

Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56

To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.

In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:

8 ( 3 + 4 ) = 8 × 3 + 8 × 4

Multiply the numbers

= 24 + 32

Add the numbers

= 56

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Answer:

The range is -3≤y≤3 - 3≤y≤3.

Step-by-step explanation:

I hope this helps! :)

The value of x is 100 degrees.

what is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry. A triangle is defined by its three sides and the three angles formed by those sides. The sum of the three angles in a triangle is always 180 degrees. Triangles can be classified based on the length of their sides and the size of their angles. The different types of triangles include equilateral, isosceles, scalene, acute, right, and obtuse triangles.

We can use the properties of a triangle to find the value of x.

Since the sum of the angles in a triangle is 180 degrees, we can write:

Angle A + Angle B + Angle C = 180 degrees

Substituting the given values:

35° + 45° + x = 180°

Simplifying:

80° + x = 180°

Subtracting 80 from both sides:

x = 100°

Therefore, the value of x is 100 degrees.

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Answer: No, this relation is not a function.

Step-by-step explanation: Beca the x’s value’s repeat

Answer:

4.8 x 10^9

Step-by-step explanation:

E9 is 10 raised to the power of 9

Scientific notation requires you to write a number from 1 to 10 then multiply it by 10 raised to a number x.

In this case:

4.8E9 = 4,800,000,000

Number between 1 and 10 = 4.8

Number of zeroes = 8 but because you have to multiply 4.8 times 10 to get 48 the answer is 4.8 x 10^9... so one extra 10... 1+8=9

Hope you understand

Answer:

\(x {}^{3} \)

Step-by-step explanation:

\(\frac{(x {}^{5} )}{( {x}^{2} )}\)

\(x {}^{3} \)

A 40-g solution of concentration 28% salt contains

0.28 (40 g) = 11.2 g

of salt.

To get a solution with concentration 40%, suppose you add x grams of salt. Then this new solution has a new total mass of (40 + x) g and contains (11.2 + x) g of salt. At 40% concentration, we have

(11.2 + x)/(40 + x) = 0.40

Solve for x :

11.2 + x = 0.40 (40 + x)

11.2 + x = 16 + 0.40x

0.60x = 4.8

x = 8

Answer:

numbers are 3x,2x,5x

so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

This is a right-tailed test.

In hypothesis testing, the null hypothesis (H0) represents a default or baseline assumption, while the alternative hypothesis (Ha) represents the research hypothesis or the claim that we want to test.

In this case, the null hypothesis states that the population mean (μ) is equal to 24, while the alternative hypothesis states that μ is greater than 24.

A right-tailed test is used when the alternative hypothesis involves a greater than sign (>), indicating that we are interested in detecting an increase or improvement in the population parameter of interest.

The critical region for a right-tailed test is located in the right tail of the sampling distribution, and the rejection region is defined by the upper tail of the distribution, corresponding to values of the test statistic that are greater than the critical value.

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Answer:

LFCE LDCG

Step-by-step explanation:

That's same angle both have 90⁰ there

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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