. Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25more than Seiji.

(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount

Gavin earned.

(b) Graph the equations in the system.

(c) Use your graph to estimate how much each person earned.


I need help with b

The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

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Answer:

0.2

Step-by-step explanation:

The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 3x+2y+z = 3.

and given F = 4i + 4j + 1k

divG = div(3x+2y+z = 3) = 3i + 2j + k

Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA

φ = ∫ (12 + 8 + 1)dA

= 21∫dA

A = 1/2 XY (on the given x-y plane)

3x+2y =3

at x = 0, y = 3/2

y = 0, x = 1

1/2 (1*3/2) = 3/4

Therefore flux = 21*3/4 = 63/4

φ = 63/4.

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The conclusion regarding the publisher's claim is that it is incorrect if the potential advertiser rejects the null hypothesis. A newsletter publisher believes that less than 65% 65 % of their readers own a personal computer. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 0.02 level of significance, the advertiser decides to reject the null hypothesis.

What is a null hypothesis?

The null hypothesis is a fundamental idea in inferential statistics that represents the null assumption. It's frequently utilized to compare datasets and decide whether any differences between them are real or just by chance.

It is also called H0. It is the default theory that no difference exists between two tested populations or data sets.

A hypothesis test is a way of deciding whether the data supports or disproves the null hypothesis. If the null hypothesis is incorrect, it is referred to as a Type I error. If it is true and the data leads to its rejection, it is known as a Type II error.

Thus, after performing the test at the 0.02 level of significance, if the potential advertiser decides to reject the null hypothesis, the publisher's claim is incorrect.

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Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

Answer:

9/50

Step-by-step explanation:

First, convert the decimal into a fraction. In this case, convert .18 to 18/100. Find a common factor between the numerator and denominator, which in this case, would be 2. Divide both the numerator and denominator by 2 to get 9/50. 9/50 can't be simplified further, so this is your answer.

Answer:

\(\frac{9}{50}\)

Step-by-step explanation:

0.18 is \(\frac{18}{100}\).

Let's simplify the fraction:

\(\frac{18}{100}= \frac{18/2}{100/2}=\boxed{\frac{9}{50}}\)

Hope this helps.

f(j(a)) make sense in the context.

f(s) represents the perimeter of the pentagon (in cm) whose side length is s cm. (Given)      (1)

g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm. (Given)                  (2)

h(s) represents the area (in cm​​​​​2) of s regular pentagon whose side length is s cm. (Given)              (3)

j(a) represents the side length (in cm) of a regular pentagon whose area is a cm​​​​​2. (Given)               (4)

a. Perimeter = 133 cm      (given)

Side length of the regular pentagon whose perimeter is 133 cm=g(133)        (using 2)      (5)

Area of the regular pentagon whose side length is g(133)=h{g(133)}          (using 3)

b. Area = 6.38 cm​​​​​2       (given)

Side length of the regular pentagon whose area is 6.38 cm​​​​​2=j(6.38)        (using 4)

Perimeter of the regular pentagon whose side length is j(6.38)=f{j(6.38)}        (using 1)

Hence the answer is f(j(a)) make sense in the context.

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It could be the second one but u also have to consider it could be the last one so now u just choose one but (-3,-3) has no solution so that could help answering it too

Answer:

I am thinking it's c

I am not sure

Answer:

25th Percentile: 3.5

50th Percentile: 4.5

75th Percentile: 8

= Interquartile Range: 4.5

I think it shows it's '4.5'.

C

Answer:

C. \(a_n=(9)(\frac{2}{3})^{n-1}\)

Step-by-step explanation:

Iterative geometric sequence:

\(a_n=a_1x^{n-1}\)

Recursive geometric sequence:

\(a_n=xa_{n-1}\)

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

\(a_n=(9)(\frac{2}{3})^{n-1}\)

And so the answer is C.

Answer:

Hey!

To find the square...

14 x 14 = 196

To find the area of the semicircle...

A = pi x radius ^2 / 2

= 76.969

Step-by-step explanation:

196 + 76.969 = 272.969m^2

ROUND THIS UP TO THE REQUIRED DECIMAL PLACE

You can put 273...

HOPE THIS HELPS!!

Answer:

272.93m^2

Step-by-step explanation:

14*14=196m^2

(3.14*7^2)/2=76.93m^2

196+76.93=272.93m^2

Answer: A

Step-by-step explanation: since X>y and y>z

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

Answer:      I believe the answer would be 1.3

           HOWEVER, if you do have to round to the nearest tenth then the answer would be 1

Step-by-step explanation:    

2x+7 = 12x - 6

(subtract 2x from both sides)

7 = 10x - 6

(add 6 to both sides)

13 = 10x

(divide 13/10)

1.3 = x

Answer:

x = 11/5

Step-by-step explanation:

-2x - 16 + 6 = 7x - 21

5x - 21 = -10

5x = 11

x = 11/5

Answer:

x = 11/9

Step-by-step explanation:

-2(x + 8 ) + 6 = 7(x - 3)       {Use distributive property: a(b +c)= a*b +a*c) }

-2x + 8*(-2) + 6 = 7*x - 3*7

-2x - 16 +6 = 7x - 21          {add 2x to both sides}

       -10 = 7x + 2x - 21

       -10 = 9x - 21      {add 21 to both sides}

-10 + 21 = 9x  

     11   = 9x         {divide both sides by 9)

     11/9 = x

The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

A set is a collection of distinct objects, and a subset is a set that contains only elements that are also in another set. If set A is a subset of set B, then all elements of A are also elements of B.

The number of subsets of a set with n elements is 2^n. So, if set A has n elements and set B has m elements (where m > n), the number of subsets of A is 2^n and the number of subsets of B is 2^m. The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

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The system of inequalities represents this situation is:

c + f ≤ 200

5c + 6f ≥ 500

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let c represent candles arrangements

Let f represent flower arrangements.

The girls estimate that at most they will sell 200 items.

The equation will be:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

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The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

f(X) = a |x - h| + k, the vertex of the function is the point (h, k).

Comparing the equation with the given one,

f(x) = |x + 8| – 3

f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

So vertex is (-8, -3).

Hence the vertex is (-8, -3).

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Answer: p= 1/7

Step-by-step explanation:

5/7=p+4/7

-p=4/7-5/7

-p=-1/7

P=1/7

Answer:

33

Step-by-step explanation:

(\((\sqrt{50})^{2} =(\sqrt{17})^{2}+a^{2} \\33=a^{2}\)

Pythagoras for that q side

\(\sqrt{33} *\sqrt{33} =33\)

the area

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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Kiran would choose scale of 1 to 50.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

Given:

As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.

The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.

The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.

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The options are as follow:

1 to 50

1 to 72

1 to 100

Answer:

17/6

Step-by-step explanation:

6x-7=10

6x=10+7

6x=17

x=17/6

Answer:

$3.57

Step-by-step explanation:

19/5.32=3.571...

rounded it equals 3.57

hope this helps :3

if it did pls mark brainliest

After 9 hours, the population of the bacteria will be twice the initial population, it means:

After other 9 hours, the population will be two times 20000, it means:

According to this, after 18 hours the population of the bacteria will be 40000.

The value of the computer with initial value $4600 after 3 years using the exponential model is equal to $2422.39 (approximately).

Cost of new computer = $4600

Book value after 2 years = $3000

use the exponential model,

y = a × \(e^{(-kt)}\)

where y is the value of the computer after t years,

a is the initial value of the computer when t=0,

k is a constant,

and e is the base of the natural logarithm.

Find the value of k using the information given,

y(2) = 3000

⇒3000 = a × \(e^{(-2k)}\)

y(0) = 4600

⇒ 4600 = a × e⁰

⇒ 4600  = a

Dividing the two equations, we get,

⇒3000/4600 =  \(e^{(-2k)}\)

⇒0.6522 =   \(e^{(-2k)}\)

Taking the natural logarithm of both sides, we get,

⇒ -2k = ln (0.6522 )

Solving for k, we get,

⇒ k = -0.4276 /2

⇒ k = - 0.2138

So the exponential model for the value of the computer is,

y = 4600 × \(e^{(-0.2138 \times t)}\)

To find the value of the computer after 3 years, we can plug in t=3,

y(3) = 4600 × \(e^{(-0.2138 \times 3)}\)

      = 4600 × \(e^{(-0.6413)}\)

      = 4600 × 0.5266

      = 2422.39

Therefore, the value of the computer after 3 years using the exponential model is approximately $2422.39.

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Answer:

help with what?

Step-by-step explanation:

we have the expression

Remember that

substitute

therefore

a=6

b=2

Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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