Explain why 5.12 x 4 equals 20.48 with numbers.

To calculate the price that the sofa must sell for, we need to first determine the total sales amount that the salesperson needs to make in order to earn a commission of at least $50. We can do this by dividing $50 by the commission rate of 6.25%, which gives us a total sales amount of $800.

Next, we can use this total sales amount to find the price of the sofa that would generate this much commission for the salesperson. Let's say that the price of the sofa is x. We can set up an equation as follows:

x * 0.0625 = $800

To solve for x, we divide both sides by 0.0625:

x = $12,800

Therefore, the sofa must sell for at least $12,800 in order for the salesperson to earn a commission of at least $50. It's important to note that this calculation assumes that the salesperson only sells one sofa. If they sell multiple pieces of furniture, their total commission earnings would be higher.
Hi! To calculate the minimum price the sofa must be sold for to earn a commission of at least $50, follow these steps:

1. Identify the commission rate: 6.25%
2. Convert the commission rate to a decimal: 0.0625
3. Determine the desired commission amount: $50
4. Divide the desired commission amount by the commission rate (decimal form): $50 / 0.0625

After performing the calculation, you will find that the minimum price the sofa must be sold for is $800. This means that the salesperson must sell the sofa for at least $800 to earn a commission of $50 or more.

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Answer:

c

Step-by-step explanation:

The answer for the equation:

7x+31 = 8x -1/3(27x+3) is x=-4

In a case whereby letters in the word bubble are arranged in a row the number of unique arrangements that are there  in the letters is 120.

From the question we were given the word, bubble  which can be recognized as 6! arrangements  however we know that the  3 B’s are interchangeable, from the word which is to be arranged, and we can see that there are 6 letters all together in the word and can be arranged as;

6!/3!

= 720/6

= 120

Hence, we can conclude the arangement here is 120 unique wayas.

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Answer:

No, the vertices of the image and pre-image do not correspond.

Step-by-step explanation:

Answer: its C

Step-by-step explanation: you got this

The approximation of ∫10sin(t)t dt is 5.000018, rounded to six decimal places.

Using the given approximation, we have:

sin(t) ≈ t − t^3/6 + t^5/120 − t^7/5040

Multiplying both sides by t and integrating from 0 to 10, we get:

∫0^10 sin(t) t dt ≈ ∫0^10 (t^2/1! − t^4/3! + t^6/5! − t^8/7!) dt

Using the power rule of integration, we get:

∫0^10 sin(t) t dt ≈ [t^3/3! − t^5/5! + t^7/7! − t^9/9!]0^10

Substituting the limits of integration and simplifying, we get:

∫0^10 sin(t) t dt ≈ (10^3/3! − 10^5/5! + 10^7/7! − 10^9/9!)/6

Calculating the numerical value using a calculator, we get:

∫0^10 sin(t) t dt ≈ 5.000018

Therefore, the approximation of ∫10sin(t)t dt is 5.000018, rounded to six decimal places.

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When a line segment is drawn from a point on a circle's circumference, through the center to another point on the circle's circumference, the distance of the line segment is equal to the diameter of the circle.

The diameter is defined as any straight line passing through the center of a circle, connecting two points on the circumference. It is the longest chord of the circle and is also the length of a circle's widest point.

The diameter is an important parameter of a circle, as it determines the circle's size and area. It is related to the circle's radius, which is half the length of the diameter. The diameter is also used in various formulas for calculating the circumference, area, and other properties of circles.

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Answer:

1234567891011121314151617181920

Step-by-step explanation:

you just count

Answer:

h = 0.64 ft

Step-by-step explanation:

\(s = \frac{14 + 12 + 6}{2} = \frac{32}{2} = 16 \: ft \\ \\ A = \sqrt{(s - 14)(s - 12)(s - 6)} \\ \\ A = \sqrt{(16 - 14)(16 - 12)(16 - 6)} \\ \\ A = \sqrt{(2)(4)(10)} \\ \\ A = \sqrt{80} \\ \\ A = 8.94427191\\ \\ A \approx 8.94 \: {ft}^{2} \)

A = 14h

8.94427191 = 14h

h = 8.94/14

h = 0.638571429

h = 0.64 ft

The probability that a 120 square foot roll will contain more than one flaw is approximately 0.0001, or 0.01%.

The number of flaws per square foot, denoted by X, as a Poisson distribution with parameter lambda = 1/40 (since there is an average of one flaw per 40 square feet).

To find the probability that a 120 square foot roll will contain more than one flaw, we need to calculate the probability of X > 1, where X is Poisson distributed with parameter lambda = 1/40.

Using the Poisson distribution formula, we have:

\(P(X > 1) = 1 - P(X < = 1)\)

= \(1 - [P(X = 0) + P(X = 1)]\)

We can calculate P(X = 0) and P(X = 1) using the Poisson distribution formula:

P(X = k) = (e^(-lambda) * lambda^k) / k!

where k is the number of flaws and lambda = 1/40.

\(P(X = 0) = (e^(-1/40) * (1/40)^0) / 0! = e^(-1/40) = 0.9756\)

\(P(X = 1) = (e^(-1/40) * (1/40)^1) / 1! = (1/40) * e^(-1/40) = 0.0244\)

\(P(X > 1) = 1 - [P(X = 0) + P(X = 1)]\)

\(= 1 - (0.9756 + 0.0244)\)

\(= 0.0001\)

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Answer:

third answer

Step-by-step explanation:

lowest value is -7 and highest is 10

Answer:

3.68 cm ^2

Step-by-step explanation:

A= b x h

A= 1.6 cm x 2.3 cm

A= 3.68 cm ^2

Answer:

$6.75

Step-by-step explanation:

First, we need to figure out how much she pays in a month: 79 divided by 4 = 19.75

But, this includes the sign up fee because the problem states, " After 4 months, she  has paid a total of $79. "

Now, we need to subtract the first fee (13) " She pays a signup fee and a monthly fee of $13. "

19.75 - 13.00 = 6.75

Hope this helped have a great day/night! :'')

Percentage of Mrs. smith's students scored at or above a 92% for given mean and standard deviation using standard normal distribution is equal to 15.87%.

Mean = 80

Standard deviation = 12

To find the percentage of Mrs. Smith's students who scored at or above a 92%,

Find the area under the normal distribution curve to the right of 92%.

Use a standard normal distribution table or a calculator ,

Find the corresponding z-score for a raw score of 92 in a normal distribution with mean 80 and standard deviation 12.

z = (92 - 80) / 12

  = 1

This means that a score of 92 is one standard deviation above the mean.

From a standard normal distribution table,

Attached table.

Find that the area to the right of a z-score of 1 is approximately 0.1587.

This means that approximately 15.87% of Mrs. Smith's students scored at or above a 92%.

Therefore, about 15.87% of Mrs. Smith's students scored at or above a 92% on the psychology test using standard normal distribution .

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the width of the reproduced piece is 2.78 inches.

Now, we first need to find the original area of the painting.

Since, The original area is,

= 29 inches x 25 inches

= 725 square inches

Now. we know that the reproduction has 1/9 of the original area, which means that the area of the reproduction is:

= 725 square inches / 9

= 80.56 square inches

Hence, for the width of the reproduced piece, we need to find the width of a rectangle whose area is 80.56 square inches, given that the height is 29 inches which remains constant in the reproduction.

Hence, We can use the formula for the area of a rectangle,

Area = length x width

In this case, we know the area is, 80.56 square inches)

and the length is, 29 inches

Thus, we can solve for the width:

80.56 square inches = 29 inches x width

width = 2.78 inches

Thus, the width of the reproduced piece is 2.78 inches.

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Answer:

Multiply 3 by 5

Step-by-step explanation:

the P and M in PEMDAS because there’s multiplication inside the parentheses

5 + 3(5) - 4.2

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

To show that the closed subset A of a locally compact space (X, T) with the relative topology is locally compact, we need to prove two things: that A is locally compact and that it has the relative topology.

Let's break down the proof into two parts:

Part 1: A is locally compact
To show that A is locally compact, we need to prove that for every point x in A, there exists a compact neighborhood of x in A.

Since A is a closed subset of X, its complement X \ A is open in X. By the local compactness of X, for each x in A, there exists a compact neighborhood N of x in X. We can choose N such that N ∩ (X \ A) = ∅, i.e., N is disjoint from the complement of A.

Now, consider the intersection of A with N, denoted as N' = N ∩ A. Since N is compact and A is closed, the intersection N' = N ∩ A is closed in N. Moreover, since N is disjoint from X \ A, N' = N ∩ A is also disjoint from (X \ A) ∩ N, which is the complement of N' in N.

Therefore, N' is a compact neighborhood of x in A. Hence, A is locally compact.

Part 2: A has the relative topology
The relative topology on A is obtained by considering the subset A together with the open sets of X that intersect A. We need to show that the relative topology on A is the same as the topology induced by A as a locally compact space.

Let B be an open set in the relative topology on A. By definition, B = U ∩ A, where U is an open set in X.

We claim that U is also an open set in X with respect to the original topology T. Since X \ A is closed, its complement A = X \ (X \ A) is open. Therefore, U = U ∩ X = (U ∩ A) ∪ (U ∩ (X \ A)) = B ∪ (U ∩ (X \ A)), where B is open in A and U ∩ (X \ A) is open in X \ A. Thus, U is a union of two open sets in X, making it open.

Now, let's consider the topology induced by A as a locally compact space. In this topology, a set C is open in A if and only if C = V ∩ A, where V is an open set in A as a locally compact space.

Since V is open in A as a locally compact space, there exists a compact set K in A such that V contains an open set W in A, i.e., V = W ∪ (K ∩ A). Therefore, V = (W ∪ (K ∩ A)) ∩ A = (W ∩ A) ∪ ((K ∩ A) ∩ A) = W ∩ A.

As a result, the relative topology on A is the same as the topology induced by A as a locally compact space.

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

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The ratio of e:f from 2 different squares are 1.2:1.

From the case, we have 2 squares that:

Square E side = e

Square F side = f

Area of E = (1 + 44%) Area of F

Using the area of square formula, we know that:

Area of square = side x side

Area of square = side²

Area of E = e x e

Area of E = e²

Area of F = f x f

Area of F = f²

We will compare the area of both squares:

Area of E = (1 + 44%)Area of F

e² = (1 + 44%) f²

e² = 1.44 f²

√e² = √(1.44 f²)

e = 1.2 f

Hence the ratio of e : f would be:

e : f = 1.2f : f

e : f = 1.2 : 1

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4x10^-7 this optional is correct

Step-by-step explanation:

4÷1000000

o

According to the given information we have that (a) Linear (b) = Non-linear

(c) Linear (d) Non Linear.

What about linear graph?

A linear graph is a graph of a linear equation, which is an equation that represents a straight line when plotted on a coordinate plane. The standard form of a linear equation in two variables x and y is:

ax + by = c

where a, b, and c are constants. When this equation is graphed, it produces a straight line with a constant slope (a/b) and y-intercept (c/b). Linear graphs are used to represent relationships between two variables that change at a constant rate.

Define non linear graph:

A non-linear graph is a graph that does not represent a straight line when plotted on a coordinate plane. A non-linear graph can represent a wide variety of mathematical functions, including exponential functions, power functions, trigonometric functions, and logarithmic functions. Non-linear graphs are often used to model complex real-world phenomena that do not follow a simple linear pattern.

The shape of a non-linear graph depends on the specific equation or function being graphed, and it may have one or more curves, bends, or peaks. The slope and y-intercept of a non-linear graph are not constant and can change at different points along the curve. Non-linear graphs can be analyzed using calculus and other advanced mathematical techniques to understand the behavior and properties of the underlying function.

According to the given information:

(a) The equation given in the question follow the property of linear graph that it create a straight line in constant way .

(b) Non -linear not follow the condition.

(c) It is also linear in nature form a straight line with constant approch.

(d) The given coordinate form non-linear graph.

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Step-by-step explanation:

the terms are 2k,15,m,3,n,7p.

variables are k,m,n,p

coefficients are 2,and 7

constants are 15 and 3

answer is x=8

hope that helps lol

Answer:

n is equal to -3

Step-by-step explanation:

11n - 11 + 35 = 3n

11n + 24 = 3n

11n - 3n = -24

8n = -24

n =-3

Answer:

n is equal to -3

Step-by-step explanation:

.

The investment in the government bond has the lowest risk. Since it is not dependent on the market situation.

What is real estate?

Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

What is mutual fund?

A mutual fund is an investment vehicle that is professionally managed and collects money from a number of investors to buy securities. The phrase is frequently used in the US, Canada, and India, while open-ended investment companies in the UK and SICAVs in Europe are comparable global structures.

Stock market: One of the finest methods to make money is through stock investments. Any investor can successfully use stocks to attain their long-term financial goals with a smart investment plan and data-driven judgements. Every investment carries a certain level of risk.

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Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

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Answer:

do the pemdas

p=()

e=X^x

md= multiply then devide

as= add then subtract

Step-by-step explanation:

y=3x^2+9x-18

y=9x+9x-18

18x-18=y

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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