Bo went to the grocery tore and bought ome bottle of oda and bottle of juice. Each bottle of juice ha 25 gram of ugar. Bo purchaed a total of 7 bottle of juice and oda which collectively contain 250 gram of ugar. Determine the number of bottle of oda and juice purchaed. Someone tell me how to write out the equation, I know the anwer I jut need the written out equation

3) To determine the time at which the fish population is zero:

We have the quadratic equation: -2x^2 + 40x - 72 = 0

Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values from our equation: a = -2, b = 40, c = -72

x = (-40 ± √(40^2 - 4(-2)(-72))) / (2(-2))

Simplifying further:

x = (-40 ± √(1600 - 576)) / (-4)

x = (-40 ± √(1024)) / (-4)

x = (-40 ± 32) / (-4)

So, the solutions for x (temperature) that result in a population of zero are:

x1 = (-40 + 32) / (-4) = -8 / (-4) = 2

x2 = (-40 - 32) / (-4) = -72 / (-4) = 18

Therefore, the fish population will be zero at temperature x = 2°C and x = 18°C.

6) To determine the temperature that results in the largest population of fish (maximum point):

The x-coordinate of the vertex can be found using the formula: x = -b / (2a)

In our equation, a = -2 and b = 40:

x = -40 / (2(-2)) = -40 / (-4) = 10

So, the temperature x = 10°C will result in the largest population of fish. The y-coordinate of the vertex represents the maximum population.

1) The given function is a quadratic function.

2) Characteristics of a quadratic function include:

- It is a polynomial function of degree 2.

- The graph of a quadratic function is a parabola.

- It has a vertex, which is either a minimum or maximum point, depending on the coefficient of the leading term.

- The graph is symmetric about the vertical line passing through the vertex.

- The function can have either a positive or negative leading coefficient, which determines the concavity of the parabola.

3) To determine the time at which the fish population is zero, we need to find the value of x (temperature) that makes the function p(x) equal to zero:

-2x^2 + 40x - 72 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -2, b = 40, and c = -72. Plugging in these values into the quadratic formula, we can find the values of x that result in a population of zero.

4) An alternative strategy to determine when the fish population is zero is by factoring the quadratic equation if possible. However, the given quadratic equation doesn't appear to be easily factorable, so using the quadratic formula is a more suitable approach.

5) Both strategies should give the same answer. Whether using the quadratic formula or factoring, the solutions for x (temperature) that result in a population of zero should be identical. The quadratic formula is a general method that works for all quadratic equations, even when factoring is not immediately apparent.

6) To determine the temperature that results in the largest population of fish, we need to find the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -2 and b = 40. Plugging in these values, we can calculate the temperature (x) at which the fish population is maximized. The y-coordinate of the vertex will represent the largest population of fish.

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Answer:

2+2 4 and for 2 2 2+4 6 yesirrrrr

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

The function represented in the graph attached is

The standard vertex form of quadratic equation is of the form,

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (-1, 2) (from the graph)

h = -1

k = 2

substitution of the values into the equation gives

y = a(x + 1)² + 2

solving for a using point (0, -1) on the graph

-1 = a(0 + 1)² + 2

-1 = a + 2

-1 - 2 = a

a = -3

substituting the value of "a" into the equation

y = a(x + 1)² + 2

y = -3(x + 1)² + 2  (standard vertex form)

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1.5

The given function is:

f(x) = 2x² + 5x – 12

To find the zeros, equate f(x) to zero.

f(x) = 0

2x² + 5x – 12 = 0

2x² - 3x + 8x - 12 = 0

x(2x - 3) + 4(2x - 3) = 0

(x + 4)(2x - 3) = 0

x + 4 = 0

x = -4

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

The zeros of the function f(x) = 2x² + 5x – 12 are -4 and 1.5

Since only x = 1.5 is positive, x = -4 is not positive, the value of the positive zero is 1.5

Her consumption of x is mathematically given as

x=8

Generally, the equation for Slope  is  mathematically given as

u=x^2y^2 ....1

Therefore

\($ slope=-\frac{m u x}{m v_y}=\frac{-2 x y^2}{2 x^2 y}$\)

slope=-y/x

y=0.875 x

Substitute in (1)

\(u=x^2(0.875 x)^2=3136 \\\)

\(0.875^2 x^4=3136 \\\)

\(x^4=4096\)

x=8

y=7

In conclusion,

x=8

y=7

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a) Area is 3r. b) Area is [(4 - r(1)) + (4 - r(2))] / 2. c) Area is [(2(0) - r) + (2(1) - r)] / 2. d) Area is (1 - 22) * 2. e) Area couldn't be defined.

To find the area using the limit of a sum (a Riemann sum), we need to divide the interval [a, b] into smaller subintervals, calculate the area of each subinterval, and then take the limit as the subintervals approach zero.

(a) For f(x) = r, a = 0, b = 3:

The region between the graph of y = f(x) = r and the x-axis is a rectangle with a height of r and width of 3. The area of this rectangle is A = r * 3 = 3r.

(b) For f(x) = 4 - r, a = 1, b = 2:

The region between the graph of y = f(x) = 4 - r and the x-axis is a trapezoid with parallel sides of lengths 4 - r(1) and 4 - r(2), and a height of 1 (width of the subinterval). The area of this trapezoid is A = [(4 - r(1)) + (4 - r(2))] / 2.

(c) For f(x) = 2x - r, a = 0, b = 1:

The region between the graph of y = f(x) = 2x - r and the x-axis is a triangle with a base of 1 (width of the subinterval) and a height of 2x - r. The area of this triangle is A = [(2(0) - r) + (2(1) - r)] / 2.

(d) For f(x) = 1 - 22, a = -1, b = 1:

The region between the graph of y = f(x) = 1 - 22 and the x-axis is a rectangle with a height of 1 - 22 and width of 2. The area of this rectangle is A = (1 - 22) * 2.

(e) For f(x) = 1 + r + r", a = 0, b = 1:

The region between the graph of y = f(x) = 1 + r + r" and the x-axis is a region bounded by two curves. To determine the area, we need to find the intersection points of the curves and integrate the difference of the two curves between those points.

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Using Z-table ,

the required probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691..

We have given that,

The sample is Normal distribution,

the mean of sample(X-bar,) = 12.3 kg

standard deviations of sample(sigma) = 0.4 kg

sample size(n) = 4

confidence interval= (12.2, 12.4)

we have to find the probability that mean body protein is between 12.2 and 12.4 kg

Using the confidence interval formula, for finding the value of Z-value ,

C.I = X-bar +- Z(s/√n)

put all avaliabile values we get,

12.2 = 12.3 + Z(0.4/√4) = 12.3 + Z(0.2)

=> Z = - 0.5

or 12.4 = 12.3 + Z(0.2)

=> Z = 0.1/0.2 = 1/2 = 0.5

so, -0.5 < Z< 0.5

now , using the z-value we can easily calculate the value of p i.e. probability

Use the Z-table , we get p -value is 0.691

Hence , probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691

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Answer:

18

Step-by-step explanation:

(3 x -3) equals -9, -9 x -2 equals 18 since the negatives cancel each other out.

Answer:

Step-by-step explanation:

-2 x 3x - 2 x (-3)

-6x-2 x (-3)

-6x +6

The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

This problem is based on the area of rectangle .

Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.

Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.

The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .

So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.

Similarly the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.

Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

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The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

This problem is based on the area of a rectangle.

Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.

Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.

The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .

So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.

Similarly, the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.

Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

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The number of hamburgers sold on Sunday was 89

Let's assume that the number of hamburgers sold on Sunday was x.

According to the problem, the number of cheeseburgers sold was three times the number of hamburgers sold.

Therefore, the number of cheeseburgers sold can be expressed as 3x.

The total number of hamburgers and cheeseburgers sold was 356.

Therefore, we can write an equation to represent this information:

x + 3x = 356

Simplifying the left-hand side of the equation, we get:

4x = 356

Dividing both sides by 4, we get:

x = 89

Therefore, the number of hamburgers sold on Sunday was 89, and the number of cheeseburgers sold was 3 times that, or 267.

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Answer Marie will have saved enough in 11 weeks.

In the 6th week, Marie will not have enough money.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation:

Answer:

The total number of pages in all the newspaper is 390,625 pages

Step-by-step explanation:

The number of pages in the newspaper = 25 pages

The number of schools ordering the newspaper = 25 schools

The number of class rooms in each school = 25 classrooms

The number of students in each classroom = 25 students

Therefore;

The total number of pages in all the newspaper = 25 pages per paper × 25 schools × 25 classroom per school × 25 students per classroom

The total number of pages in all the newspaper = 25 × 25 × 25 × 25 = 25⁴

The total number of pages in all the newspaper = 25⁴ = 390,625 pages

The walking distance saved across walking the lot is 19.6ft

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

The formula is given as;

a² = y² + z²

Substituting the values into the equation;

48² = x² + (x + 6)²

2304 = x² + x² + 12x + 36

2304 = 2x² + 12x + 36

solving for x;

x = 30.8ft

The walking distance will be x + (x + 6) = 30.8 + (30.8 + 6) = 67.8ft

The walking distance saved will be 67.8ft - 48 ft = 19.6ft

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Answer:

1) The slope-intercept and standard forms are \(y = -5\cdot x + 1\) and \(5\cdot x +y = 1\), respectively.

2) The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x -\frac{9}{2}\). The standard form of the line is \(-5\cdot x +2\cdot y = -9\).

3) The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x + 5\). The standard form of the line is \(-5\cdot x +2\cdot y = 10\).

4) The slope-intercept and standard forms of the family of lines are \(y = \frac{2}{7}\cdot x -\frac{c}{7}\) and \(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\), respectively.

5) The slope-intercept form of the line is \(y = 2\cdot x-7\). The standard form of the line is \(-2\cdot x +y = -7\).

Step-by-step explanation:

From Analytical Geometry we know that the slope-intercept form of the line is represented by:

\(y = m\cdot x + b\) (1)

Where:

\(x\) - Independent variable, dimensionless.

\(m\) - Slope, dimensionless.

\(b\) - y-Intercept, dimensionless.

\(y\) - Dependent variable, dimensionless.

In addition, the standard form of the line is represented by the following model:

\(a\cdot x + b \cdot y = c\) (2)

Where \(a\), \(b\) are constant coefficients, dimensionless.

Now we process to resolve each problem:

1) If we know that  \(m = -5\) and \(b = 1\), then we know that the slope-intercept form of the line is:

\(y = -5\cdot x + 1\) (3)

And the standard form is found after some algebraic handling:

\(5\cdot x +y = 1\) (4)

The slope-intercept and standard forms are \(y = -5\cdot x + 1\) and \(5\cdot x +y = 1\), respectively.

2) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that \((x_{1},y_{1})=(1,-2)\) and \((x_{2},y_{2}) = (3,3)\), then we construct the following system of linear equations:

\(m+b= -2\) (5)

\(3\cdot m +b = 3\) (6)

The solution of the system is:

\(m = \frac{5}{2}\), \(b = -\frac{9}{2}\)

The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x -\frac{9}{2}\).

And the standard form is found after some algebraic handling:

\(-\frac{5}{2}\cdot x +y = -\frac{9}{2}\)

\(-5\cdot x +2\cdot y = -9\) (7)

The standard form of the line is \(-5\cdot x +2\cdot y = -9\).

3) From Geometry we know that a line can be formed by two distinct points on a plane. If we know that \((x_{1},y_{1})=(-2,0)\) and \((x_{2},y_{2}) = (0,5)\), then we construct the following system of linear equations:

\(-2\cdot m +b = 0\) (8)

\(b = 5\) (9)

The solution of the system is:

\(m =\frac{5}{2}\), \(b = 5\)

The slope-intercept form of the line is \(y = \frac{5}{2}\cdot x + 5\).

And the standard form is found after some algebraic handling:

\(-\frac{5}{2}\cdot x+y =5\)

\(-5\cdot x +2\cdot y = 10\) (10)

The standard form of the line is \(-5\cdot x +2\cdot y = 10\).

4) If we know that \(a = 2\) and \(b = -7\), then the standard form of the family of lines is:

\(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\)

And the standard form is found after some algebraic handling:

\(-7\cdot y = -2\cdot x +c\)

\(y = \frac{2}{7}\cdot x -\frac{c}{7}\), \(\forall \,c\in\mathbb{R}\) (11)

The slope-intercept and standard forms of the family of lines are \(y = \frac{2}{7}\cdot x -\frac{c}{7}\) and \(2\cdot x -7\cdot y = c\), \(\forall \,c \in \mathbb{R}\), respectively.

5) If we know that \((x,y) = (3,-1)\) and \(m = 2\), then the y-intercept of the line is:

\(3\cdot 2 + b = -1\)

\(b = -7\)

Then, the slope-intercept form of the line is \(y = 2\cdot x-7\).

And the standard form is found after some algebraic handling:

\(-2\cdot x +y = -7\) (12)

The standard form of the line is \(-2\cdot x +y = -7\).

False. It's important to note that the Gibbs phenomenon is a characteristic of the Fourier series approximation and not a property of the original signal itself.

The Gibbs phenomenon can occur even in signals without discontinuities. The Gibbs phenomenon is a phenomenon observed in the Fourier series representation of a signal. It refers to the phenomenon where overshoots or ringing artifacts occur near a discontinuity or sharp change in a signal. However, the presence of a discontinuity is not a necessary condition for the Gibbs phenomenon to occur.

The Gibbs phenomenon arises due to the inherent nature of the Fourier series approximation. The Fourier series represents a periodic signal as a sum of sinusoidal components with different frequencies and amplitudes. When the signal has a discontinuity or sharp change, the Fourier series struggles to accurately represent the rapid transition, leading to overshoots or ringing artifacts in the vicinity of the discontinuity. These artifacts occur even if the signal is continuous but has a rapid change in its slope.

It can be mitigated by using alternative signal representations or by considering higher-frequency components in the approximation.

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Answer:

the "componential analysis" of the skill. This analysis breaks down the complete skill into its various components and determines the proportion of time required by each component during the performance of the skill. This can help in identifying the strengths and weaknesses of an individual's performance and improving their overall skill proficiency.

Step-by-step explanation:

Answer:

because red is colour which attracts more

Answer:

1/15

Step-by-step explanation:

Total number of marbles: 3 + 4 + 1 + 2 = 10

First pick:

p(red) = 3/10

Now there are a total of 9 marbles.

Second pick:

p(blue) = 2/9

Overall probability:

p(red then blue) = 3/10 * 2/9 = 6/90 = 1/15

Answer:

x = -6

I hope this helps!

The up front payment costs $34.5 while the payment per miles driven is $0.5

We are told that when renting a vehicle from Schrader car rental, a customer pays a fee up front, and is also charged for miles driven when they return.

Let the amount paid up front be x and let the amount paid per mile driven be y.

Thus, the equation for Henry will be;

x + 85y = 77   -------(1)

The equation for Marcia will be;

x + 115y = 83   ------(2)

Subtract eq 1 from eq 2 to get;

30y = 6

y = 6/30

y = $0.5

Thus;

x + 85(0.5) = 77

x = 77 - 42.5

x = $34.5

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Complete question is;

When renting a vehicle from Schrader car rental, a customer pays a fee up front, and is

also charged for miles driven when they return. Henry drove 85 miles and his rental bill

was $77. Marcia drove 115 miles and her rental bill was $83.

What is the up fronmt cost and the cost per miles driven

Answer:

15/28 are women

Step-by-step explanation:

2/7 + 1/4 + x = 100%

2/7+1/4= 15/28

9514 1404 393

Answer:

  13/28

Step-by-step explanation:

The fraction that are women is found by subtracting the given fractions from 1.

  1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28

The fraction that are women is 13/28.

Answer:

Step-by-step explanation:

Exact Form: 23/6

Olivia and Sara have a total of 84 grams of cheese together. If Sara brought 84 grams of cheese, we can add that to the amount of cheese Olivia already has to find the total.

However, the initial amount of cheese Olivia has is not provided in the question, so we cannot determine the exact total. We only know that the combined weight of Olivia's cheese and Sara's cheese is 84 grams.

For example, if we assume that Olivia's block of cheese weighs 100 grams, then the total weight of cheese that Olivia and Sara have together would be 100 grams + 84 grams = 184 grams.

But if Olivia's block of cheese is a different weight, the total would be different. Without knowing the weight of Olivia's cheese, we cannot calculate the exact total. Therefore, the answer to the question is that Olivia and Sara have a total of 84 grams of cheese together, but we cannot determine the individual contributions of Olivia and Sara without additional information.

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Answer:

Step-by-step explanation:

Taking $50 each month causes  - $50 change to bank balance

Repeating same for 7 month:

Correct option is B

Answer:

A

Step-by-step explanation: