I really hate to do this again-

Can you determine the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces. *

Answer:

Cranberry juice needed to fill the bottle = 5.2 cups

Step-by-step explanation:

sports drink mix:

Orange juice = 25%

Cranberry juice = 65%

Sprite = 10%

His bottle holds 8 cups of drink.

How much cranberry juice does she need to fill the bottle?

Cranberry juice needed to fill the bottle = 65% of 8 cups

= 65/100 × 8

= 0.65 × 8

= 5.2 cups

Cranberry juice needed to fill the bottle = 5.2 cups

Orange juice needed to fill the bottle = 25% of 8 cups

= 25/100 × 8

= 0.25 × 8

= 2 cups

Orange juice needed to fill the bottle = 2 cups

Sprite needed to fill the bottle = 10% of 8 cups

= 10/100 × 8

= 0.1 × 8

= 0.8 cups

Sprite needed to fill the bottle = 0.8 cups

Answer:

Step-by-step explanation:

boody boody

Given:

The figure QRST.

The rule of translation is \(T_{(3,-2)}(QRST)\).

To find:

The coordinate of vertices after translation.

Solution:

According to the given rule of translation is \(T_{(3,-2)}(QRST)\), we get

\((x,y)\to (x+3,y-2)\)

From the given figure it is clear that the vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T(-2,1).

Using the above rule, we get

\(Q(1,3)\to Q'(1+3,3-2)=Q'(4,1)\)

\(R(3,-3)\to R'(3+3,-3-2)=R'(6,-5)\)

\(S(0,-2)\to S'(0+3,-2-2)=S'(3,-4)\)

\(T(-2,1)\to T'(-2+3,1-2)=T'(1,-1)\)

Therefore, the coordinates of the vertices after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T'(1,-1).

The ordered pairs for the vertices of T(3, –2)(QRST) are

\(\mathbf{Q' = (4,1)}\)  \(\mathbf{R' = (6,-5)}\)  \(\mathbf{S' = (3,-4)}\) and \(\mathbf{T' = (1, -1)}\)

The coordinates of QRST are:

\(\mathbf{Q = (1,3)}\)

\(\mathbf{R = (3,-3)}\)

\(\mathbf{S = (0,-2)}\)

\(\mathbf{T = (-2,1)}\)

The transformation rule of \(\mathbf{T(3,-2)}\) is:

\(\mathbf{(x,y) \to (x + 3,y -2)}\)

So, we have:

\(\mathbf{Q' = (1 + 3,3 -2)}\)

\(\mathbf{Q' = (4,1)}\)

\(\mathbf{R' = (3 + 3,-3 -2)}\)

\(\mathbf{R' = (6,-5)}\)

\(\mathbf{S' = (0 + 3,-2 -2)}\)

\(\mathbf{S' = (3,-4)}\)

\(\mathbf{T' = (-2 + 3,1 -2)}\)

\(\mathbf{T' = (1, -1)}\)

Hence, the ordered pairs for the vertices of T(3, –2)(QRST) are

\(\mathbf{Q' = (4,1)}\)  \(\mathbf{R' = (6,-5)}\)  \(\mathbf{S' = (3,-4)}\) and \(\mathbf{T' = (1, -1)}\)

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Subsets 1 and 3 are subspaces, while subsets 2 and 4 are not.

To determine which subsets are subspaces, we need to check if they satisfy the three conditions of being a subspace:

closure under addition, closure under scalar multiplication, and containing the zero vector. Let's evaluate each subset:

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero vector (0, 0, 0). Therefore, it is a subspace of ℝ³.

  This subset is not a subspace. While it satisfies closure under addition, it fails to satisfy closure under scalar multiplication. If we multiply a polynomial with a non-zero term by zero, the result will not have a non-zero term. Therefore, it does not contain the zero vector, violating the subspace condition.

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero matrix [0, 0; 0, 0]. Hence, it is a subspace of the space of 2x2 matrices.

  This subset is not a subspace. It fails to satisfy closure under scalar multiplication.

If we scale a vector whose endpoint lies on the line y = 2x by a non-zero scalar, the endpoint will no longer lie on the line y = 2x.

Thus, it does not contain the zero vector, violating the subspace condition.

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Answer:

809.0

Step-by-step explanation:

Given the exponential function h (t) = 1250(0.865)^t

When t = 3

h(3) = 1250(0.865)^3

h(3) = 1250 (0.6472)

h(3) = 809.0

Hence the value to the nearest tenth is 809.0

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

\(10i\)

Step-by-step explanation:

√(-100)

Use the imaginary number rule  \(i=\sqrt{-1}\)

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

Answer:

4(x+1)m/2= 2(x+1)m

Step-by-step explanation:

can i have brainliest please

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Factors.

1.) x^2-3x-10 = (x-5) (x+2)

2.)x^2-3x-18 = (x-6) (x+3)

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

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well, we know the cost at the University of Texas is $22,000 per year, now for Rodrigo for 4 years that'll be 4(22,000) = 88,000.

So he has 3000 in savings, and 1,000 one-time grant, that's 4000 bucks, let's subtract that from the 88000 and it's just 84000.

Now for the scholarship which is not a one-time deal is every year, he gets 5000 bucks, for 4 years that'll be 4(5000) = 20000, and the work study pays for part-time 8000 every year, for 4 years that'll be 4(8000) = 32000, let's subtract those two amounts from the 84000 needed, that'll be 84000 - 20000 - 32000 = 32000.

So Rodrigo can offset the 88000 by 4000 + 20000 + 32000, leaving only 32000 to be covered by other means, possibly a student loan.

Answer:

75

Step-by-step explanation:

X and Y are the same so Y would be 105 as well. The trapezoid as a whole equals 360 degrees. Take 360 and subrtract 105 twice and you'll get 150. Divide 150 by 2 and you'll get 75. W and Z will both equal 75.

We have the following inequation:

The values of n that satisfy the inequation are such that 4n > 1, so:

But n is an integer, so any positive integer satisfy the inequation

LSD training is  type of interval training consists of overhead squats, front squats, and romanian deadlifts

Whats the definition for intervals?

in·​ter·​val ˈin-tər-vəl. plural intervals. : a space of time between events or states. a two-month interval between medical treatments. There were long intervals during the game in which nothing exciting happened

The area of focus of the Single Leg Romanian Deadlift is the back of the individuals legs and hips. By engaging in this activity, a person is getting a great workout for his or her glutes, hamstrings, lats. It requires the person to lift one leg directly beside the balance leg and then bend from waist to slowly reach hand toward the toes of the balance leg.

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Answer:

C (C and D)

Step-by-step explanation:

Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the correct answer is C

The solutions to the question are given by

a)

When the marine scientist had finished her research on the fish, the length of the specimen averaged roughly  5.98 cm. Determine a suitable domain for the growth function plot.

b)

Acceptable range for the plotting of the growth function = [0, 8].

c)

Average rate = 0.40125 centimeters

Generally, the equation for is mathematically given as

a)Given: A marine researcher is examining the development of a certain kind of fish in their natural environment.

f(m) = 3(1.09)^m

When the marine scientist had finished her research on the fish, the length of the specimen averaged roughly  5.98 cm. Determine a suitable domain for the growth function plot.

b) What does it mean when the graph of the function f(m) has an intercept on the y-axis?

The function f(average )'s rate of change from the value of m = 2 to the value of m = 8

Solution:

f(m) = 3(1.09)^m

m = 0

f(0) = 3(1.09)^0

f(0)= 3 cm

The fish measured about 5.98 centimeters in length.

5.98  =3(1.09)^m

Therefore

\(m=\frac{ln 1.993}{ln1.09}\)

m=8.00

Domain = [0 , 8]

Acceptable range for the plotting of the growth function = [0, 8].

c)

In conclusion, The y-intercept of the graph of the function f(m) represents the starting length of the fish, which is equal to 5 centimeters.

The function f(average )'s rate of change from the value of m = 1 to the value of m = 8

m = 1 => f(1) = 3(1.07)^1 = 3.21 cm

m = 8 => f(9) = 3(1.07)^8 = 5.15 cm

Change in 8 months (8 -1) is 3.21  centimeters (9.19 - 5.35).

Average rate of change of the function f(m) from m = 1 to m = 9

Average rate = (3.21/8)

Average rate = 0.40125 centimeters each calendar month

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Step-by-step explanation:

Algunos aspectos importantes que debes incluir en tu informe son los siguientes:

Para saber cual es el sistema de riego mas adecuado debemos hacer un análisis primero de las necesidades y requerimientos del cultivo o vegetación ,asi como saber con exactitud cuales son las dimensiones del terreno y las condiciones del clima del lugar.

Lo anterior nos ayudara a elegir  un sistema de riego adecuado que nos permita suplir las necesidades de nuestro cultivo y a la vez reducir costos .

De los métodos de riego que existen ,los sistemas  automatizados e informatizados surgen como una gran alternativa para controlar el uso del agua a la vez que permite disminuir costos por el gran ahorro que representa, así mismo este tipo de riego permite una mejor distribución del recurso hídrico por toda el área.

Por lo general estos sistemas de riego están centralizados en un único punto de control lo que facilita su mantenimiento así como la prevención de futuras anomalías que se pudieran presentar.

Answer:

C = L + P

C = £38

Step-by-step explanation:

Given that :

Cost (C) is given by :

Sum of fixed line rental (L) ; price (P) of calls made.

Hence,

Cost formula;

C = L + P

Cost if the line rental is £10 and the price of calls made is £28.

C = L + P

If L = £10 ; P = £28

C = £10 + £28

C = £38

Answer:

5 1/3 - 2 4/9 = 26/9

26/9 simplified equals 2 8/9

Step-by-step explanation:

I hope that my answer has helped you to understand you questions asked. If you have any further questions, please put them below.  

Have a great rest of your day/night!

Answer:

\(2\frac{8}{9}\)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given,

\(6+log\frac{3}{2} (\frac{1}{3\sqrt{2} } \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} } ...} }\)

Let,

\(x= \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} }\\\)

By this we get

\(x=\sqrt{4-\frac{1}{3\sqrt{2} }(x) } }\)

On squaring both sides,

\(x^{2} =4-\frac{1}{3\sqrt{2} }(x) } }\\\\x^{2} -4+\frac{x}{3\sqrt{2} } =0\\\\3\sqrt{2} x^{2} -12\sqrt{2} +x=0\\\\x=\frac{-1+\sqrt{1-(-12\sqrt{2})*(3\sqrt{2})*4 } }{2*3\sqrt{2} } \\\\x=\frac{-1+\sqrt{289} }{6\sqrt{2} } \\\\x=\frac{-1+17}{6\sqrt{2} } \\\\x=\frac{8}{3\sqrt{2} }\)

Now,

\(6+log\frac{3}{2} [\frac{1}{3\sqrt{2} } *\frac{8}{3\sqrt{2} } ]+log\frac{3}{2} *[\frac{8}{9*2} ]\\\\6+log\frac{3}{2}(\frac{4}{9} )\\\\6-log\frac{3}{2}(\frac{9}{4} )\\\\6-log\frac{3}{2} (\frac{3}{2})^2 \\\\6-2=4\)

\(\sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{\cdots}}}}\)

Starting from the identity

\((x - y)^2 = x^2 - 2xy + y^2\)

take the positive square root on both sides.

\(x - y = \sqrt{x^2 - 2xy + y^2}\)

Note that we must have \(x\ge y\). Rewrite the radicand and substitute \(x-y\).

\(x - y = \sqrt{x^2 - xy - y (x - y)} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}}} \\\\ ~~~~ \vdots \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{\cdots}}}}\)

Let \(y=\frac1{3\sqrt2}\). Solve for \(x\).

\(x^2 - \dfrac x{3\sqrt2} = 4 \\\\ x^2 - \dfrac x{3\sqrt2} + \dfrac1{72} = \dfrac{289}{72} \\\\ \left(x - \dfrac1{6\sqrt2}\right)^2 = \dfrac{289}{72} \\\\ x - \dfrac1{6\sqrt2} = \pm \dfrac{17}{6\sqrt2} \\\\ x = \dfrac{18}{6\sqrt2} \text{ or } x = -\dfrac{16}{6\sqrt2} \\\\ x = \dfrac3{\sqrt2} \text{ or } x = -\dfrac8{3\sqrt2}\)

Take the positive solution to ensure \(x>y\). Then the infinitely nested root expression in the logarithm converges to

\(x - y = \dfrac3{\sqrt2} - \dfrac1{3\sqrt2} = \dfrac{4\sqrt2}3\)

and the overall expression has a value of

\(6 + \log_{\frac32} \left(\dfrac1{3\sqrt2} \times \dfrac{4\sqrt2}3\right) = 6 + \log_{\frac32} \left(\dfrac49\right) \\\\ ~~~~ = 6 + \log_{\frac32} \left(\dfrac23\right)^2 \\\\ ~~~~ = 6 - 2 \log_{\frac32} \left(\dfrac32\right) \\\\ ~~~~ = 6 - 2 = \boxed{4}\)

Answer:

48384 cm^3

Step-by-step explanation:

V = w x l x h = A x h = 672 x 72 = 48384 cm^3

Answer: Ctrl + U scroll to the bottom and see your answers

Step-by-step explanation:

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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Answer:

3.

Step-by-step explanation:

v=lbh (volume = length, base, height)

3*0.5*2=

3

The most descriptive name would be a rhombus.

What is a rhombus?

A rhombus is a geometric shape that is a type of parallelogram. It is defined as a quadrilateral with all four sides congruent (equal in length). The opposite angles of a rhombus are also congruent. A rhombus can also be thought of as a square that has been stretched or compressed in one direction, so all its angles are right angles.

The most descriptive name for a quadrilateral with all congruent sides and two sets of parallel sides is a parallelogram. Specifically, a parallelogram with all congruent sides is called a rhombus.

Hence, The most descriptive name would be a rhombus.

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Answer:

4

Step-by-step explanation:

2+2=4

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