Look at the paper to the right.
a. Write an equation to represent the description. b. Describe a real-world situation the equation
could represent.

Answer:

33

plsss mark brainliestt

Step-by-step explanation:

4(7)+23+2/8-3

28+25/5

28+5=33

Answer:

The garment manufacturer must order 640.56 kg of fabric and the total cost of fabric purchased would be S$3,843.36.

Explanation:

To find out how much fabric must be ordered in kg, we need to first convert the yards to meters, then calculate the weight of the fabric in kg.

1 yard = 0.9144 meters 3,500 yards = 3,202.8 meters

Density = 200 gm/m² = 0.2 kg/m²

Total weight of fabric = 3,202.8 meters x 0.2 kg/m² = 640.56 kg

Therefore, the garment manufacturer must order 640.56 kg of fabric.

The cost of fabric per kg is S$6.

Therefore, the total cost of fabric purchased is:

Total cost = 640.56 kg x S$6/kg = S$3,843.36

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Answer:

the answer would be

= -2y-1

Answer:y2+3y2-7y-3y-5+4

4y2-10y-1

Step-by-step explanation:

Answer:

x = 18

y = 54

Step-by-step explanation:

90 - 72 = 18

18 + 2x = 3x

18 = x

2(18) = 36

3(18) = 54

72 + y + 54 = 180

126 + y = 180

y = 54

Answer:

54

Step-by-step explanation:

Answer:

57064

Step-by-step explanation:

The correct expression of the inequality expression is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

From the question, the expression is given as

18 ÷ 6 + 3 □ 6 + 12 ÷ 3

We start by converting the above expression to the same form

So, we start by solving the quotients

This gives

3 + 3 □ 6 + 4

Next, we evaluate the sum

So, we have

6 □ 10

In the above expression, we have

6 and 10

By convention, the number 6 is less than the number 10

This is so because 6 has a smaller value and 10 has a higher value

When the above numbers are compared, we have

6 is less than 10

This means that we make use of the inequality symbol <

So, we have

18 ÷ 6 + 3 < 6 + 12 ÷ 3

Hence, the complete inequality is 18 ÷ 6 + 3 □ 6 + 12 ÷ 3

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The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

JetBlue can recognize revenue for the ticket sold on May 1st, 2019, when the customer postpones the flight until August 15th and pays an additional $300, under the following conditions:

1. The change fee of $250 is recognized as revenue immediately when the change is made. This is because the change fee represents the consideration received by JetBlue for modifying the ticket.

2. The increased travel costs of $50 ($300 - $250) should be allocated to the new flight date, which is August 15th. JetBlue can recognize this portion of the revenue on August 15th when the customer actually flies.

The initial ticket cost ($0 if forfeited completely) is not recognized as revenue since it represents breakage, and revenue is recognized when the service is provided (i.e., when the customer flies).

Therefore, JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

Tris-HCl (0.5M Tris Base, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

20X Tris-HCl (1M Tris Base, pH7.6):

Trizma Base ---------------------------------- 122 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:20 with distilled water before use

and adjust pH if necessary.

10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.

*** OR you can use Tris Base to make Tr

Answer:

See below.

Step-by-step explanation:

a. 5 points have names.  There is an infinite number of points in the plane, but most of them are nameless!

b. two

c. one

d. line a.  Also known as \(\overleftrightarrow{VW}, \overleftrightarrow{VX}, \overleftrightarrow{WX}\)

e. W

f. \(\overleftrightarrow{YW}, \overleftrightarrow{YZ}, \overleftrightarrow{WZ}\) are all good names

g. V, W, Z is just one of several sets of 3 non-collinear points.

h. plane XWZ  (name it using 3 non-collinear points

Answer: See below

Step-by-step explanation:

For the problems, you need to know what makes a function, a function. In order to tell, you need to know the Vertical Line Test. The Vertical Line Test can tell you if there is only one output per input. What you do is draw vertical lines along the graph. If the line goes through the function once, then it passes the Vertical LIne Test, and is therefore a function. If the vertical line goes through 2 points, then it fails the test, which makes it not a function.

1. Not a function

We have defined that a function only has one output for one input. In the table, we see that x=7 has 2 outputs, y=10 and y=3. This does not pass the Vertical Line Test because if you drew a line at x=7, it will go through 2 points.

2. Function

On this graph, if you draw many vertical lines, you will see that wach line only passes the function once. Therefore, this is a function.

Answer:

BC = 18 cm

Step-by-step explanation:

As we can see from the diagram:

AB + BC + CD = AD

⇒ 10 cm + BC + 11 cm = 39 cm

⇒ BC + 21 cm = 39 cm

⇒ BC = 39 cm - 21 cm

⇒ BC = 18 cm

Answer:

10ft

Step-by-step explanation:

Answer:

6.324

Step-by-step explanation:

a2+b2=c2

32+b2=72

9+b2=49

   -9=  -9

\(\sqrt{40}\)=6.324

As per the given standard deviation, the mean of the sum S = X + Y is $1557.50.

To calculate the mean of the sum S = X + Y, we need to know the means and standard deviations of X and Y. The mean of X is given as $732.50, and the standard deviation is $103. Similarly, the mean of Y is given as $825, and the standard deviation is $126.50.

To find the mean of the sum S = X + Y, we simply add the means of X and Y:

Mean of S = Mean of X + Mean of Y

= $732.50 + $825

= $1557.50

So, the mean of the sum S = X + Y is $1557.50.

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Answer:

y = 6/5x - 24/5

Step-by-step explanation:

The two points we are given are (4, 0) and (9, 6). First, find the slope.

m = 6 - 0/9 - 4 = 6/5

Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.

y - 0 = 6/5(x - 4)

y = 6/5x - 24/5

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

12-4

6+3

Step-by-step explanation:

4 time 3 equals 12

3 times 2 equals 6

The area of the figure is equal to:

A = 28\(unit\)² + 7\(unit\)² + 7\(unit\)² =42\(unit\)²

You could also draw the shape on a grid and count the squares there: The rectangle has a 15 surface area. For instance, if the space is 15 m2 and each square is one meter in size (15 square meters).

Answer:

42\(units\)²

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of two triangles

Find the area of rectangle

Observing the graph

The area of rectangle is equal to

A= bh = (2+5)(2+2)= 28\(unit\)²

Find the area of the top triangle

A = 1/2bh = 1/2(2+5)(2+2) = 7\(unit\)²

Find the area of the bottom triangle

A = 1/2bh = 1/2(2+5)(2+2) = 7\(unit\)²

the area of the figure is equal to

A = 28\(unit\)² + 7\(unit\)² + 7\(unit\)² =42\(unit\)²

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The linear approximation used by the first step of Newton's method can be expressed as: f(x) ≈ f(a) + f'(a) * (x - a)

The linear approximation used by the first step of Newton's method is given by the equation:

f(x) ≈ f(a) + f'(a) * (x - a)

In other words, the linear approximation is produced by adding the derivative of the function at the initial guess and the difference between the updated estimate x and the starting guess a to the value of the function at the starting guess.

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No thousands, just 70

Answer:

seven

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

a. For the function:

f(x) = { sin x/3, if x ≤ π

{ x√3/2π, if x > π

I. To find lim f(x) as x approaches π from the negative side, we need to evaluate f(x) for values of x that are slightly less than π. In this case, since sin(x/3) is a continuous function, we can simply evaluate it at x = π:

lim f(x) as x approaches π- = f(π-) = sin(π/3) = √3/2

II. To find lim f(x) as x approaches π from the positive side, we need to evaluate f(x) for values of x that are slightly greater than π. In this case, we can simply evaluate the other part of the piecewise function at x = π:

lim f(x) as x approaches π+ = f(π+) = π√3/2π = √3/2

III. To find lim f(x) as x approaches π, we need to check whether the left-hand and right-hand limits are equal. In this case, since both the left- and right-hand limits exist and are equal, we have:

lim f(x) as x approaches π = √3/2

b. For the function:

f(x) = (x^2 - 36)/√(x^2 - 12x + 36)

I. To find lim f(x) as x approaches 6 from the negative side, we need to evaluate f(x) for values of x that are slightly less than 6. In this case, we can substitute x = 6 - h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6- = lim f(6 - h) as h approaches 0

Substituting x = 6 - h into the function, we get:

f(6 - h) = [(6 - h)^2 - 36]/√[(6 - h)^2 - 12(6 - h) + 36]

= [h^2 - 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 - h) = h(h - 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 - h) as h approaches 0+ = lim h(h - 12)/h as h approaches 0+ = lim (h - 12) as h approaches 0+ = -12

II. To find lim f(x) as x approaches 6 from the positive side, we need to evaluate f(x) for values of x that are slightly greater than 6. In this case, we can substitute x = 6 + h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6+ = lim f(6 + h) as h approaches 0

Substituting x = 6 + h into the function, we get:

f(6 + h) = [(6 + h)^2 - 36]/√[(6 + h)^2 - 12(6 + h) + 36]

= [h^2 + 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 + h) = h(h + 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 + h) as h approaches 0+ = lim h(h +

Step-by-step explanation:

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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The correlation coefficient, is r ≈ -0.964

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to be numerical. Feb 19, 2020

According to linear regression, sales are predicted to equal 168 + 23 advertising when using advertising as the predictor variable. This means that if spending on advertising is increased by one million euros, sales should grow by 23 million euros, and if no advertising was done, sales should be 168 million euros.

y = 13.5998272884 - 0.894645941278·x

y = 13.6 - 0.9·x

The slope = -0.9

The y-intercept = 13.6

Correlation: (-0.964276229529)

The correlation coefficient, r ≈ -0.964

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The exponent on 3 is

STEP - BY - STEP EXPLANATION

What to find?

The exponent on 3.

Given:

To solve the above, we will follow the steps below:

Step 1

Recall the law of indices.

That is;

Step 2

Apply the above laws of indices to the given expression.

Therefore, the exponent on the as observed above is a+b-c-d

Answer:

The area of this triangle is (1/2)(9)(8) = 36.