Idk what to put here :(

Answer:

a) the initial value is $125, and it represents the cost Navin has to pay in the beginning

b) the rate of change is  $20 per month, and it represents the cost he has to pay per month

c) linear; the equation for it is y = 20x + 125

d) The rate of change is constant because each month, Navin always has to pay $20.

e) This is partial variation because the equation y = 20x + 125 doesn't follow y = kx

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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Answer:

Step-by-step explanation:8-16-7+6=-9

I think the sender is -11

Step-by-step explanation:

because adding the negatives plus the positives

The values of x and y in the attached triangle using trigonometric ratios are: x = 59 and y = 51.1

The three primary trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Now, to find the values of x and y in the attached triangle using trigonometric ratios, we have:

29.5/y = tan 30

y = 29.5/tan 30

y = 51.1

Similarly:

29.5/x = sin 30

29.5/0.5 = x

x = 59

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It cannot be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s

H₀: There is no difference in Mr. Goodman’s evaluations and the History Department’s

H: there is a significant difference between Mr. Goodman’s evaluations and the History Department’s

Applying chi-square test

relative  observed Expected residual Chi-square

1's 0.100 11.000 12.500 -0.42 0.180

2's 0.150 14.000 18.750 -1.10 1.203

3's 0.340 47.000 42.500 0.69 0.476

4's 0.410 53.000 51.250 0.24 0.060

total 1.000 125 125   1.9196

test statistic  X²=1.9196

p-value =0.5893

Hence it cannot be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s as we fail to reject the null hypothesis.

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The solution of the system is x = 5 and y = 40.

A simultaneous equation is anyone or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.

Given:

system of equations,

8x=x+35    {equation 1}

y=8x          {equation 2}

From equation 1,

8x = x+35

7x = 35

x = 5

Substituting the value of x to the equation 2,

And y  = 8(5)

y = 40

Therefore, the solution is x = 5 and y = 40.

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The divergence theorem states that for a vector field F with continuous first partial derivatives defined on a region V of space that encloses a piecewise smooth boundary surface S, the outward flux of the curl of F across S is equal to the divergence of F in V. The value of ∫∫S F·dS using the Divergence Theorem is 9.

The formula is given by∫∫S F·dS=∭V ∇·F dV Where, ∇·F is the divergence of F, and ∇=i(∂/∂x)+j(∂/∂y)+k(∂/∂z) is the del operator. In the given question, the surface S is a box bounded by the coordinate planes and the planes x=2, y=2, and z=3. Thus, the volume enclosed by S is 2 x 2 x 3 = 12.Using the divergence theorem, we have∫∫S F·dS=∭V ∇·F dV Given, F(x,y,z) = xe'i + zyj -zek∇·F

= ∂F/∂x + ∂F/∂y + ∂F/∂z

= e'i + zj

Since the surface S is made up of six faces, the integral ∫∫S F·dS is the sum of the surface integrals over each of these faces. Using the fact that the outward normal vector for each face points in the positive direction of the corresponding coordinate axis, we can write∫∫S F·dS = ∫∫S1 F·dS1 + ∫∫S2 F·dS2 + ∫∫S3 F·dS3 + ∫∫S4 F·dS4 + ∫∫S5 F·dS5 + ∫∫S6 F·dS6 where S1 is the face with normal vector -i, S2 is the face with normal vector i, S3 is the face with normal vector -j, S4 is the face with normal vector j, S5 is the face with normal vector -k, and S6 is the face with normal vector k.

On each face, we have F·dS = F·n dS = F·n dxdy, where n is the outward unit normal vector to the face. On faces S1 and S2, n=-i and i, respectively, so we have∫∫S1 F·dS1 = ∫∫S2 F·dS2

= ∫0²∫0² (-x)e'i

dxdy= ∫0² ∫0² -x

dx dy= -1/2(2²)(2²)= -8

Similarly, on faces S3 and S4, n=-j and j, respectively, Therefore, using the divergence theorem, we have∫∫S F·dS=∭V ∇·F dV= ∭V (e'i + zj) dV= 3j= 3(0j + 0j + 3j)= 9

The value of ∫∫S F·dS using the Divergence Theorem is 9.

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The scale factor of the drawing of the neighborhood park would be = 2000.

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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Answer:

37. 0 triangles

38. 1 triangle

39. Yes

40. 13 or greater

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side, so since 5 + 8 = 13, the third side must not be 13 or greater.

Answer:

10.5

Step-by-step explanation:

2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.

Answer:

$26.25 is the answer I believe

Answer: 50 yards

Step-by-step explanation: area of a circle is πr² so 3.14 x 4² = 50.24

Answer:

-20b^6-12b³

-8x⁴-20x²

-24y^8-12y⁴

The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Al-Khwarizmi made significant contributions to the world of mathematics, particularly in the field of algebra. His major accomplishment was the development of algebra as an independent mathematical discipline.

Al-Khwarizmi, a Persian mathematician and scholar, wrote the book titled "Kitab al-Jabr wal-Muqabala," which laid the foundation for modern algebra. In this influential work, he introduced systematic methods for solving linear and quadratic equations. Al-Khwarizmi's algebraic techniques, including the use of variables and equations, greatly advanced mathematical understanding and problem-solving. His work also contributed to the development of algorithms and mathematical notation, such as the concept of the "zero" and the decimal system. Overall, al-Khwarizmi's contributions revolutionized mathematics and had a profound impact on subsequent generations of mathematicians and scientists.

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Answer:

sorry for the messy handwriting- hope this helps

Step-by-step explanation:

Answer:

4 x 4 = 16

5 x 12 = 60

_________+

76

We can conclude that they form a right triangle

So GF = FH

OF^2 = GF^2 + OG^2

OF^2 = 8.4^2 + 8^2

OF^2 = 70.56 + 64

OF^2 = 134.56

OF = 11.6

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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Answer:

6.9

Step-by-step explanation:

Cos ∆ = Adjacent/Hypotenuse

therefore x=12Cos55°

=6.88

=6.9 to the nearest tenth

Answer:

0 percent

Step-by-step explanation:

it is a good question

in the question only there is written that he took *3 marbles*

The multiplication of the number 58 x 7 will be 406.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given numbers 58 and 7. The multiplication will be done as below:-

 58

x 7           carry - 5

___          35 + 5 = 40

406

Therefore, the multiplication of the number 58 x 7 will be 406.

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Answer:

18

Step-by-step explanation:

\( \frac{7}{22} \)

in the decimal is 0,3181818182

so, 18 repeats in the decimal

The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.

The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.

In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.

Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.

Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.

Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.

Therefore, the correct answer is: One-time pad.

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Answer:

Jamie

Step-by-step explanation:

Visually, you can already see Jamie is closer to Cameron

Mathematically, you are correct, the distance formula is used

Arthur Location: (20, 35)

Cameron Location: (65, 40)

Jamie Location: (45, 20)

Distance formula:

d = √(x2 - x1)² + (y2 - y1)²

First Image is calculating Arthur distance to Cameron

which the distance is 45.276925690687

Second Image is calculating Jamie distance to Cameron

which the distance is 28.284271247462

28 is less than 45 hence Jamie is closer to cameron

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer:

yes

Step-by-step explanation:

A proportional equation is of the form

y = kx where k is the constant of proportionality

y = 150x is proportional

Step-by-step explanation:

both roots are square roots.

if we write the 2 or leave the base of the root blank, it both means square root.

so, we have

sqrt(15) / sqrt(3)

we can combine them into

sqrt(15/3) = sqrt(5) = 2.236067977...

Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3