During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .

Answer:

He added $25 to the contents of his wallet.

Step-by-step explanation:

Here's what's happening, symbolically:

$6 + m = $31, or m = $25.  Jake added $25 (represented by m) to the contents of his wallet.

Answer:

a, e, u, o, q, r, s, t, u is the union

When the girl is 33 ft away from the pole the tip of the shadow is moving away from the light at a rate of 3 ft/s.

Since the triangles are the same, we can say that x is the distance of the light to the girl and d is the distance of the girl to the end of her shadow. Based on the comparable triangle relationship (base1/height1 = base2/height2), d/6 = (x+d)/18.

When you calculate d, you obtain d = x/2. This indicates that, in this particular instance, d' = x'/2, making d' equal to the shadow's speed of 3 ft/s.

However, we should present the solution more mathematically:

Triangle's area is equal to 0.5*b*h, or 0.5*(x+d)*h, or

0.5*(1.5*x).*y = .75*x*y

= 0.75*18*x = 13.5*x, If you take the derivative, A' = 13.5*x' = 13.5*6 = 81 ft2/s is what you get. A' for the smaller triangle because our triangles are similar.

Substitute A' = 9x' + 9d',

A' = 81

= 9 * x' + 9 * d',

Divide all by 9, get 9 = x' + d', x' 6, so d' should be 3 feet per second. This is the same expression as A, but without the addition of d = x/2 to simplify, so it's mathematically equivalent.

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Answer:

(−4, 7), (−2, −5), (0, −9), (2, −5), (4, 7)

Step-by-step explanation:

The ordered pairs will be (−4, 7), (−2, −5), (0, −9), (2, −5), and (4, 7).

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair.

Given that  the equation is y = x² − 9 using x = −4, −2, 0, 2 and 4. The ordered pairs will be calculated as below:-

y = x² − 9 at x = -4

y =(-4)² - 9 = 16 - 9 =7

( -4,7)

y = x² − 9 at x = -2

y =(-2)² - 9 = 4 - 9 =-5

(−2, −5 )

y = x² − 9 at x = 0

y =(0)² - 9 = 0 - 9 =-9

(0, −9)

y = x² − 9 at x = 2

y =(2)² - 9 = 4 - 9 = -5

(2, −5)

y = x² − 9 at x = 4

y =(4)² - 9 = 16 - 9 = 7

(4, 7).

Therefore, the ordered pairs will be (−4, 7), (−2, −5), (0, −9), (2, −5), and (4, 7).

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Answer:

220 divided by it self (220) will get you 1

Step-by-step explanation:

220/220=1

Answer:

220

Step-by-step explanation:

Answer:

0.08953251604

Step-by-step explanation:

The magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).

Using \(dB=\frac{u_0i}{4\pi} \frac{sin\theta}{r^2}\) the force on say, wire 1 (the wire at the upper left of the figure) is along the diagonal (pointing toward wire 3, which is at the lower right). Only the forces (or their components) along the diagonal direction contribute. With θ=45°, we find the force per unit meter on wire 1 to be

\(f_1 = |F_{12}+F_{13}+F_{14}|\\\\= 2F_{12}cos\theta+f_{13}\\\\=2(\frac{u_0i^2}{2\pi a} )cos45^0+\frac{u_0i^2}{2\sqrt{2}\pi a }\)

\(=\frac{3}{2\sqrt{2}\pi }(\frac{u_0i^2}{0})\\\\=\frac{3}{2\sqrt{2}\pi } \frac{(4\pi*10^{-7}T.m/A)(15.0A)^2} {(8.50*10^{-2}m)}\)

\(= 1.12 * 10^{-3}N/m\)

The direction of F1​ ​ is along r^=(i^=j^​)/sqrt2. In unit-vector notation, we have

\(F_1 = \frac{(1.12 * 10^{-3}N/m)}{\sqrt{2} }(i - j) \\\\= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\)

Hence the answer is the magnitude of the net magnetic field at the square's center is \(= (7.94 * 10^{-4}N/m)i+(-7.94 * 10^{-4}N/m)j\).

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Answer:

it is very easy for even a third grader 2x4=8

Expected value of completion time of the project is 59 days and Variance of completion time of the project is 90 days^2.

In the scenario where the completion times of the activities are dependent with a correlation of 0.15, the variance of the completion time of the project is 122.7 days^2.

To determine the expected value and variance of the completion time of the project, we'll consider two scenarios: one where the completion times of the activities are independent and another where they are dependent with a correlation of 0.15.

Scenario 1: Independent Activities

Expected value of completion time of the project:

To calculate the expected value, we sum up the expected completion times of the activities along the critical path:

Expected value = 16 + 11 + 24 + 8 = 59 days

Variance of completion time of the project:

Since the activities are independent, the variance of the project completion time is the sum of the variances of the individual activities along the critical path:

Variance = 6^2 + 5^2 + 5^2 + 2^2 = 36 + 25 + 25 + 4 = 90 days^2

Scenario 2: Dependent Activities with Correlation 0.15

Variance of completion time of the project:

When the completion times of the activities are dependent and have a correlation of 0.15, we need to consider the covariance between the activities in addition to their variances.

Using the formula for the variance of a sum of correlated variables, the variance of the project completion time can be calculated as follows:

Variance = (variance of activity 1) + (variance of activity 2) + (variance of activity 3) + (variance of activity 4) + 2 * [(covariance between activities 1 and 2) + (covariance between activities 1 and 3) + (covariance between activities 1 and 4) + (covariance between activities 2 and 3) + (covariance between activities 2 and 4) + (covariance between activities 3 and 4)]

Using the given variances and the correlation, we can calculate the variance of the project completion time.

Variance = (6^2) + (5^2) + (5^2) + (2^2) + 2 * [(6 * 5 * 0.15) + (6 * 5 * 0.15) + (6 * 2 * 0.15) + (5 * 5 * 0.15) + (5 * 2 * 0.15) + (5 * 2 * 0.15)]

Simplifying the calculation:

Variance = 36 + 25 + 25 + 4 + 2 * [(4.5) + (4.5) + (1.8) + (3.375) + (1.5) + (1.5)]

Variance = 36 + 25 + 25 + 4 + 2 * [16.35]

Variance = 36 + 25 + 25 + 4 + 32.7

Variance = 122.7 days^2

Therefore, in the scenario where the completion times of the activities are dependent with a correlation of 0.15, the variance of the completion time of the project is 122.7 days^2.

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0.13

Explanation:

P(B|A) = P(A and B) / P(B)

P(spanish|Technology) =  0.087/0.68 = 0.1279 ~ 0.13

The probability that a student takes Spanish given that the student is taking Technology is; 0.13

To solve this, we need to understand Baye's theorem of conditional probability which is;

P(A|B) = P(AB)/P(B)

Where;

P(A|B) is the probability of A given that B is true

P(AB) is probability of A & B

P(B) is probability of B

We are given;

P(A student takes technology) = 0.68

P(student takes both technology and Spanish) = 0.087

Applying Baye's theorem, we have;

P(that a student takes Spanish given that the student is taking Technology) = 0.087/0.68

P(that a student takes Spanish given that the student is taking Technology) = 0.13

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Answer:

5x + 8 = 18

5x = 18 - 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

also can i get brainliest

Answer:

0.8

Step-by-step explanation:

__0.8__

5/ 4.0

-._0__

4 0

-_4_0_

0. 0

I try showing u the working

Answer:  Choice A.  \((\text{x}-5)^2\)

Work Shown:

\(G(\text{x}) = \text{x}^2\\\\G(F(\text{x})) = (F(\text{x}))^2\\\\G(F(\text{x})) = (\text{x}-5)^2\\\\\)

VII) (-i)^19 = -i. Option C

VIII) The imaginary part of i/1 + i = 1/2. Option C

IX) The modulus of 3 - 4i is 5. Option C

X) For Z = a + ib, sin θ = a/b. Option A

XI) There are 3 elements in the set. Option A

We know that the imaginary numbers has to do with the numbers that we can be not be able to find on the number line. These are not real numbers but they are very important in the process of computation. There are two parts of a complex number. We have the imaginary part and we have the real part.

It is sometimes possible that we can be able to represent the complex number by the use of an Argand diagram which shows the complex number in the polar form.

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Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

x = \(\frac{1}{19}\)

Step-by-step explanation:

2 = 19x + 1  Subtract 1 from both sides

2 - 1 = 19x + 1 - 1

1 = 19x  Divide both sides by 19

\(\frac{1}{19}\) = \(\frac{19x}{19}\)

\(\frac{1}{19}\) = x

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

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The law or definition used between steps 3 and 4 is the De Morgan's Law.

De Morgan's Law states that the complement of the union of two sets is equal to the intersection of their complements, and the complement of the intersection of two sets is equal to the union of their complements. In this case, the complement of the intersection of sets b and c is equal to the union of their complements, which is represented by the expression (x∉a) ∧ (b ∪ c).

Therefore, the De Morgan's Law is used to transform the expression (x∈a) v (b ∩ c) into ¬((x∉a) ∧ (b ∪ c)) between steps 3 and 4.

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The soccer team can have 1,716 different starting lineups. The number of ways to choose 1 player out of 13 for the goalkeeper position is given by the combination formula: C(13, 1) = 13.

To calculate the number of different starting lineups, we need to determine the combinations of players that can be chosen for the starting lineup. Since there are 13 players on the team and 11 positions in the starting lineup, we need to choose 1 player for the goalkeeper position and 10 players for the regular positions. Similarly, the number of ways to choose 10 players out of the remaining 12 players for the regular positions is given by the combination formula:

C(12, 10) = 66.

To find the total number of different starting lineups, we multiply the number of choices for the goalkeeper position by the number of choices for the regular positions: 13 * 66 = 858.

However, the order of the players in the lineup doesn't matter, so we need to divide the result by the number of permutations of the 10 regular players: 858 / 10! = 1716. The soccer team can have 1,716 different starting lineups.

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The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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Answer:

|||

Step-by-step explanation:

the answer is c (|||)

Answer:

the answer is c

Step-by-step explanation:

the answer is C(111)

Answer:

those aren't limes, they're points.

Step-by-step explanation:

yeah-ya.......... right?

Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

Answer:

375 = 40x + 100

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

let's evaluate :

\(\\ \sf\longmapsto (c-7)(c+5)\)

\(\\ \sf\longmapsto c(c+5)-7(c+5)\)

\(\\ \sf\longmapsto c^2+5c-7c-35\)

\(\\ \sf\longmapsto c^2-2c-35\)