line has the equation y=6x +b. What must be the value of b for the line to model a directly proportional relationship

Answer:

31 : 6, 31 craft sticks to 6 balsa wood

Step-by-step explanation:

Make 1240 and 240 into a fraction

[tex] \frac{1240}{240} [/tex]

Divide 1240 and 240 by 10

1240 ÷ 10

= 124

240 ÷ 10

= 24

[tex] \frac{124}{24} [/tex]

Divide 124 and 24 by 4

124 ÷ 4

= 31

24 ÷ 4

= 6

[tex] \frac{31}{6} [/tex]

This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.

Have a lovely rest of your day! :)

Answer:

647$ USD

Step-by-step explanation:

You add 4% of each sale to eachother and to the 375. goodluck!

Answer:

7171

Step-by-step explanation:

i added it all up and thats what i got hope this helps and if right can i have brainlyest.

Answer:

12 and 24

Step-by-step explanation:

[tex]{ \tt{x = 2y - - - - (a)}} \\ { \tt{x + y = 36 - - - (b)}}[/tex]

Perform for eqn (b):

[tex]{ \tt{2y +y = 36}} \\ { \tt{3y = 36}} \\ { \tt{y = 12}}[/tex]

For x:

[tex]{ \tt{x = 2y}} \\ { \tt{x = 2 \times 12}} \\ { \tt{x = 24}}[/tex]

Answer:

87.5%

Step-by-step explanation:

28/32=0.875

0.875*100= 87.5

87.5% of 32 = 28

The equation of line that passes through the given points is x-5y=47.

Given that the line that passes through ( -3,-10) and (7,-8).

The standard form of the line equation is ax+by+c = 0. Here a, b are the coefficients, x, y are the variables and c are the constant terms. It is a quadratic equation, of the variables x and y. The values ​​of x and y represent the coordinates of the point on the line in the coordinate plane.

Firstly, we will find the slope of equation of line by using the given points.

(x₁,y₁)=(-3,-10) and (x₂,y₂)=(7,-8).

m=(y₂-y₁)/(x₂-x₁)

Now, we substitute the values, we get

m=(-8-(-10))/(7-(-3))

m=(-8+10)/(7+3)

m=2/10

m=1/5

Further, we will find the equation of line using the formula y-y₁=m(x-x₁).

Now, we will substitute the values , we get

y-(-10)=(1/5)(x-(-3))

y+10=(1/5)(x+3)

Further, we will multiply both sides by 5, we get

5(y+10)=x+3

5y+50=x+3

5y+50-50=x+3-50

5y=x-47

x-5y=47

Hence, the equation of line that passes through ( -3,-10) and (7,-8) is x-5y=47.

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You should put a lot of the 26% as it is necessary

The simplified trigonometric expression is given as follows:

[tex]-sin{\theta}\tan{\theta}(1 - \csc{\theta})[/tex]

The expression is given by:

[tex]\frac{\cos{\theta}}{1 + \csc{\theta}} \times \frac{1 - \csc{\theta}}{1 - \csc{\theta}}[/tex]

Applying the subtraction of perfect squares at the denominator, we have that the expression is given by:

[tex]\frac{\cos{\theta}(1 - \csc{\theta})}{1 - \csc^2{\theta}}[/tex]

Applying an identity, we have that:

[tex]1 - \csc^2{\theta} = -\cot^2{\theta}[/tex]

Hence the expression is:

[tex]-\frac{\cos{\theta}(1 - \csc{\theta})}{\cot^2{\theta}}[/tex]

cot = cos/sin, hence:

[tex]-\frac{sin^2{\theta}(1 - \csc{\theta})}{\cos{\theta}}[/tex]

tan = sin/cos, hence the simplified expression is:

[tex]-sin{\theta}\tan{\theta}(1 - \csc{\theta})[/tex]

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Answer:

The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600

Step-by-step explanation:

Given

[tex]Rooms = 240[/tex]

[tex]Price= \$40[/tex]

[tex]Increment = \$2[/tex]

First, we calculate the revenue.

[tex]Revenue (r) = Price (p) * Number\ of\ Rooms(n)[/tex]

[tex]r = p*n[/tex]

Let x be the change in rate.

i.e.

For every 2x increment in price (p) i.e. p + 2x

There will be 4 fewer rooms (n) i.e. n - 4x

So, the revenue is updated as:

[tex]r = (p + 2x) * (n - 4x)[/tex]

[tex]Price = 40[/tex]

So:

[tex]r = (40 + 2x) * (n - 4x)[/tex]

[tex]Rooms = 240[/tex]

So:

[tex]r = (40 + 2x) * (240 - 4x)[/tex]

Expand

[tex]r = 40 * 240 - 40 * 4x + 2x * 240 - 2x*4x[/tex]

[tex]r = 9600 - 160x + 480x - 8x^2[/tex]

Reorder

[tex]r = -8x^2 - 160x + 480x + 9600[/tex]

[tex]r = -8x^2 +320x + 9600[/tex]

The maximum of a function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In: [tex]r = -8x^2 +320x + 9600[/tex]

[tex]a = -8[/tex]   [tex]b = 320[/tex]    [tex]c = 9600[/tex]

So:

[tex]Max = -\frac{b}{2a}[/tex]

[tex]Max = -\frac{320}{-8}[/tex]

[tex]Max = \frac{320}{8}[/tex]

[tex]Max = 40[/tex]

To get the maximum revenue;

Substitute 40 for x in [tex]r = -8x^2 +320x + 9600[/tex]

[tex]r = -8(40)^2 + 320 * 40 + 9600[/tex]

[tex]r = 9600[/tex]

The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600

5/3 is a irrational number cause it simplified is 1 2/3 which in decimal form is 1.6666 infinite to determine if a fraction is a irrational or rational number put it in decimal form


if this helped Brainliest me on this answer

Answer:

4 2/7

Hope this helps and have a nice day!!

The absolute function is having its turning point at the coordinate ( 2,3).

It is required to find the turning point of the graph  .

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Given:

The absolute function is

f(x) = |x-2| +3.

We have to find the turning point of the graph of f(x)=|x−2|+3.

According to given question we have,

When we plot the graph of the absolute function f(x) = |x-2| +3 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( 2,3).

Therefore, the absolute function is having its turning point at the coordinate ( 2,3).

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Answer:

English pls

Step-by-step explanation:

The ranking of the given  numbers from least to greatest is;

5, 5²⁸/₄₀, 5⁴/₅

We are given the numbers as;

5, 5¹²/₁₅, 5²⁸/₄₀

Now, let us breakdown the mixed fractions for easier comparison with all numbers;

5¹²/₁₅ can be broken down into 5⁴/₅

For the second mixed fraction which is 5²⁸/₄₀;

5²⁸/₄₀ can be broken down into 5⁷/₁₀

Now, 7/10 is lesser than 4/5 and so 5⁴/₅  is greater than 5²⁸/₄₀. Thus, ranking of all numbers from least to greatest is; 5, 5²⁸/₄₀, 5⁴/₅

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Answer:

9

Step-by-step explanation:

The value of y at x =15 is 9.

Two variables are said to be in Direct Variation when increasing one variable the other also increases.

The direct variation is represented by

y ∝ x

y = kx

where k is the proportionality constant

the value of y =12 , x = 20

12 = k * 20

12/20 = k

k = 0.6

The equation becomes

y = 0.6 x

The value of y at x = 15 is

y = 0.6 * 15

y =9

Therefore, the value of y at x =15 is 9.

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Answer:

this is answer .i solved it .i think it is correct

You will find it easiest if you write the integral in the form.

∫??∫??13 ,∫??∫??1r3drdθ ,that is, with θ on the "outside" integral. Looking at your diagram, the minimum θ value in the region of integration is =0θ=0, which occurs along the x axis. The maximum θ value occurs at the point (1,1)(1,1), giving =/4θ=π/4. So we have∫/40∫??13 .∫0π/4∫??1r3drdθ .For any fixed θ value, the values of r in the region go from the vertical line =1x=1 to the semicircle. At =1x=1 we have =secr=sec⁡θ as you have noted. The easiest way to get the maximum r value is to draw a line from the origin at angle θ until it hits the semicircle, and a line from there to (2,0)(2,0). Then you can see in the diagram a right-angled triangle (because the angle in a semicircle is a right angle) with hypotenuse 22, and so we get max=2cosrmax=2cos⁡θ. So the integral is∫/40∫2cossec13 .∫0π/4∫sec⁡θ2cos⁡θ1r3drdθ .For sketching the graph,=2−2‾‾‾‾‾‾‾√⇒2−2+2=0⇒(−1)2+2=1 ,y=2x−x2⇒x2−2x+y2=0⇒(x−1)2+y2=1 ,and not forgetting that ≥0y≥0.

Answer:

true

Step-by-step explanation:

Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

Answer:

1

Step-by-step explanation:

Using two points on the line, (0, -3) and (3, 0),

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (0, -3) = (x_1, y_1) [/tex]

[tex] (3, 0) = (x_2, y_2) [/tex]

Plug in the values

[tex] Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 [/tex]

Slope = 1

Answer:

why the hell you got blobs in your bed?

Step-by-step explanation:

Answer:

Angle g=76 degrees

the order i would say is EF,GE,FG

tell what you get

You're welcome

Step-by-step explanation:

Triangle equal 180 degrees so 180-60-44=76

so last angle is 76 degrees

Answer:

6-ounce bottle for ​$3.49 because its

.58 per ounce

3.49 divided by 6 = .58

Step-by-step explanation:

9.59 divided by 14 is .69 per ounce

chegg

Answer:

its 985 ft :]

Step-by-step explanation:

Answer:

it is 985 ft

Step-by-step explanation:

I used a calculator

The amount of the profit will be $50,738.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

The Wind Up Corp computed their monthly expense equation is given below.

E = 3.2q + 56,000

Its products will be sold to retailers at a wholesale price of $9 each. If 18,403 units are sold. Then  the expense will be

E = 3.2 x 18403 + 56000

E = $114,889

Then the selling price will be

S = 9 x 18403

S = 165,627  

Then the amount of the profit will be

P = 165,627 - 114,889

P = $50,738

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Answer:

[tex]\frac{10a + 6}{-a^2 + 1}[/tex] is undefined at a = 1

Step-by-step explanation:

Required

Which is undefined at a = 1

An expression is undefined when its denonimator equals 0.

So, we have to test the denominator of each.

(A): 7a + 7

This gives:

[tex]= 7(1) + 7[/tex]

[tex]= 7 + 7[/tex]

[tex]= 14[/tex]

(B): 5a - 10

This gives:

[tex]= 5(1) - 10[/tex]

[tex]= 5- 10[/tex]

[tex]= -5[/tex]

(C) -a² + 1

This gives

[tex]-(1^2) + 1[/tex]

[tex]= -1 + 1[/tex]

[tex]=0[/tex]

(D) 3a²

This gives:

[tex]= 3(1)^2[/tex]

[tex]= 3 * 1[/tex]

[tex]= 3[/tex]

Notice that only (C) equals 0.

Hence:

[tex]\frac{10a + 6}{-a^2 + 1}[/tex] is undefined at a = 1

Answer:

C

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

Answer:

-3 is the answer for the question

==========================================================

Explanation:

The mean of all ten numbers is 22.

This tells us the sum of those ten numbers is 10*22 = 220

Recall that

mean = (sum of items)/(number of items)

We take this process in reverse to find the sum.

In other words:

sum = (mean)*(number of items)

--------------

Now remove the elements {8,12,21,23} to get a new sum of:

220-8-12-21-23 = 156

Divide that smaller sum over 6 since removing 4 elements leaves us with 10-4 = 6 left over.

new mean = (new smaller sum)/(number of items)

new mean = (156)/(6)

new mean = 26

The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

We want to prove that m∠BOC = 90°.

We are given that m∠AOB is a right angle triangle. Thus;

m∠BOC must also be equal to 90°

Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.

Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

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