pls help me fastttt

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

The solutions that match the given differential equation are a)y=0 and b)y=2x.

The differential equation is a homogeneous linear differential equation with constant coefficients, which can be written in the form of y" + p(x)y' + q(x)y = 0. The general solution to this type of equation is y = c1e^(rx) + c2e^(rx) where r is the root of the characteristic equation r^2 + p(x)r + q(x) = 0.

In this case, the equation is of the form xy'' - y' = 0. By dividing both sides by x, we get y'' - (1/x)y' = 0, which is a homogeneous linear differential equation with constant coefficients. The characteristic equation is r^2 - (1/x)r = 0. The roots of this equation are r1 = 0 and r2 = 1/x.

Therefore, the general solution to this differential equation is y = c1 + c2x.

y=0 is a solution of the differential equation since it satisfies the equation when plugged in.

y=2x is also a solution of the differential equation since it also satisfies the equation when plugged in.

y=2x^2 and y=2 are not solutions of the differential equation because when plugged into the equation they don't satisfy it.

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The area of the actual bridge deck in square feet, obtained from the scale factor of area is 622,080 square inches

The scale factor of area can be obtained from the square of the scale factor of length

The dimensions of the bridge are dilated by a factor of 60 : 1

The scale of the drawing = 60 : 1

The dimensions of the bridge deck = 36 inches by 4 4/5

The area of the bridge deck in the drawing = 36 × (4 + 4/5) = 172.8 square inches

The scale factor of area = (The scale factor of length)²

The area of the actual bridge deck = 60² × 172.8 = 622080

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Answer:

A: \(f(x)\leq -2\)

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is \(f(x)\leq -2\)

Answer:

f(x) = -5(2)-4     f(x) = -10-4      f(x) = -14

Step-by-step explanation:

You put in the number 2 for the variable x

296 hot lunches were sold on Friday.

The number of hot lunches sold on Friday can be calculated by multiplying the total number of hot lunches by the relative frequency on Friday:

Hot lunches sold on Friday = 1,350 * 0.22 = 296

Relative frequency is a measure of the number of times an event occurs in a sample, expressed as a proportion of the total number of events. To find the number of hot lunches sold on Friday, we multiply the total number of hot lunches sold in the week by the relative frequency of Friday. This gives us the number of hot lunches sold on Friday, which is 296 in this case. Understanding relative frequency is important in statistics as it helps to summarize data and understand the distribution of events.

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Answer:

c= 7 p=4

Step-by-step explanation:

3p + 4c = $40

therefore  

15p + 20c = 200

5p + 2c = 34

therefore

15p + 6c = 102

14c = 98

98/14=7

c = 7

5p + 2(7) = 34

5p + 14 = 34

- 14 - 14

5p = 2020/5= 4

p = 4

Answer:

SF = 3

Step-by-step explanation:

To find the scale factor, take the value of one side length from the scaled copy and divide it by the value of the corresponding side length of the original.

39/13 = 3

Therefore, the scale factor is 3.

The number of weeks that will take the savings of john to $2700 are 90 weeks.

Given, John works 30 hours a week and get $600 per week as salary.

As he repaired his car all of his savings are gone.

Now he has to replenish his savings account by putting aside 5% of his weekly income.

So,

Weekly income = $600

5% of weekly income will be = (5/100)   ×  $600

                                                = $30

Hence he saves $30 per week.

To take back his savings to $2700 , the number of weeks required are

From Unitary method,

1 week   ⇒   $30

x weeks ⇒   $2700

x = $2700/ $30

x = 90 weeks

90 weeks will be required to get back to $2,700.

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Answer:

x=1.5 y=-1/3

Step-by-step explanation:

2x-3y=4

2x+8=11

Let's subtract 8 from both sides of the second equation:

2x=3

x=1.5

Substituting this into the first equation, we get:

2(1.5)-3y=4

3-3y=4

-3y=1

y=-1/3

Answer: yes

Step-by-step explanation: because it can be a possibility of how much the m members gave money to you

Answer:

The area of the dount is about 35.325 in²

Step-by-step explanation:

In order to find the area of a donut with a hole on the center we need to find the area of the center and the area of the circle of the donut (as if the donut was whole)

*The radius is half of the diameter or r = d/2

The area of a circle is A = n(3.14) r² or pi(3.14)× radius

The smallest possible value of N is 23.

According to the statement

we have given that the sequence {1,2,3.....n}

and the sum is 241. we have to find the smallest value of n.

So, for this purpose we use summation formula of an arithmetic sequence

Sn = n /2 ( a1 +an )

Put the values in it then.

Note that the sum of the first 21 integers  is   21 * 22 /2  =  231...this isn't large enough as compare to given value.

And the sum of the first  22 integers  =   22 * 23 / 2  =   253

So    253 - 241  =  12 = omitted sum.....  

but  the sum of two consecutive integers must be odd

And......the sum of the first 23 integers is  23 * 24 / 2  = 276

So.......276 - 241   =  35    = omitted sum

So....the   consecutive integers omitted must be  17  and 18

So....... the smallest value of n  is   23

So, The smallest possible value of N is 23.

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Answer:

see below

Step-by-step explanation:

5(2a+2b+2c)

you must distribute the 5 among the values in parenthesis

4(x-3)

you must distribute the 4 among the values in parenthesis

Hope this helps! :)

Answer:

-48y⁴

Step-by-step explanation:

2y × 6y² × (-4y)​

-48y⁴

Answer:

The correct answer is A.

Step-by-step explanation:

We're told that f(x) has its vertex at 5, -5 and opens downward.  This tells us that it's axis of symmetry is x = 5.

The format of the function g(x) shows us that its axis of symmetry is x = -5.  We're shown this because of the (x + 5)² component.

So the correct answer is A.

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5,

the axis of symmetry of g(x) is g(x) = 5.

The quadratic function is a quadratic polynomial that has a parabolic form and a general equation

        g (x) = a x² + bx + c

where a, b, c are the coefficients, x is the independent variable and g the dependent

If the function has real roots it can be written in vertex form

       g (x) = a (x-h) ² + k

where (h, k) are the coordinates of the vertex

The quadratic function has several properties:

The function can be written as a vertex value that cancels the binomial is where the symmetry axis passes

in this case, for the parabola to open downwards, the curve must be:

               g (x) = - (x + 5) ² + 5

this is the expression in vertex form, let's find the value that cancels the binomial,

              x + 5 = 0

              x = -5

at this point where the axis of symmetry passes

The value of the function for this point is

              x = -5

         g (x0 = - (-5 + 5) ² + 5

          g (x) = 5

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is

g(x) = 5

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Answer:

B

Step-by-step explanation:

Answer:

{s | s < 90}

Step-by-step explanation: Took test

Answer:

\(y = -\frac{1}{3}x + 3\)

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

\((x_1,y_1) = (0,3)\)

\((x_2,y_2) = (3,2)\)

First, calculate the slope (m)

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{2-3}{3-0}\)

\(m = \frac{-1}{3}\)

\(m = -\frac{1}{3}\)

The equation is calculated as:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = -\frac{1}{3}(x - 0) + 3\)

\(y = -\frac{1}{3}(x) + 3\)

\(y = -\frac{1}{3}x + 3\)

The equation which represents the graphed function is; y = (-1/3)x + 3

By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.

Additionally, the slope of the line can be evaluated by considering the two points given;

Slope, m = (2-3)/(3-0)

Slope, m = -1/3

Hence, the equation of the line is;

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Answer:

Step-by-step explanation:

Part A:

This data modeling an exponential function because the y-coordinate values are increasing by multiplying the previous value by 2, which is the common ratio.

Part B:

To write a function to represent the data, we can use the formula for an exponential function: y = a(b)^x, where a is the initial value, b is the common ratio, and x is the input value (station number in this case).

Using the given data points, we can write two equations:

2 = a(b)^1

16 = a(b)^4

Dividing the second equation by the first equation, we get:

8 = (b)^3

Taking the cube root of both sides, we get:

b = 2

Substituting b = 2 in the first equation, we get:

2 = a(2)^1

2 = 2a

a = 1

Therefore, the function that represents the data is: y = 1(2)^x, or y = 2^x.

Part C:

To find the average rate of change between station 2 and station 4, we need to calculate the slope of the line passing through the points (2, 4) and (4, 16).

Using the formula for slope, we get:

slope = (y2 - y1) / (x2 - x1)

slope = (16 - 4) / (4 - 2)

slope = 6

Therefore, the average rate of change between station 2 and station 4 is 6 minutes per station.

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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On solving the provided question, by multiplying the give polynomials, we got to know that -  \(( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)\) = \(6x^4 + 8x^3 - 28x^2 + 62x - 28\), the coefficient of x3 is 8

An mathematical expression known as a polynomial requires that all of the variables' exponents be integers. Each polynomial variable's exponent must be an integer that is not negative. Although a polynomial is made up of a constant and a variable, it cannot be divided by a variable.

Given polynomials are -

\(( 3x^2 - 5x + 7) and (2x^2 + 6x - 4)\)

By multiply the given polynomials, we got -

\(( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)\)

=  \(6x^4 + 8x^3 - 28x^2 + 62x - 28\)

So, the coefficient of x3 is 8

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Answer:

3 hours and 35 minutes

Step-by-step explanation:

4 to 7 is 3 hours and then add at the 35 minutes

Answer:

i chose D

Step-by-step explanation:

because 0 is less than or equal to x and x is less than or equal to 75 ***** but use this answer at your own risk *****

The domain is the set of values for which the given function is defined. The domain of the given function is 0≤x≤7.5. The correct option is B.

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

Given that function b model the bagel inventory, b(x), after x hours of opening, and it is given as,

b(x) = 75 - 10x

Now, the domain of the function is the values that x can take in the function. Since x represents the number of hours after opening, therefore, it can not be negative and must start with zero.

Further, since the inventory or the total number of bagels that the shop has is 75, therefore, they can not sell more than that, and at some point, the inventory will become zero. Therefore, we can write,

75 - 10x = 0

-10x = -75

10x = 75

x = 75 /10

x = 7.5 hours

Hence, the domain of the given function is 0≤x≤7.5.

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Answer:

(50, 20)

Step-by-step explanation:

y = -2x + 120

x + (-2x+120) = 70

  -x = -50

x = 50

 y = -2x+120

 y = -2(50)+120 = 20

{x,y} = {50,20}  

ANSWER:

95 square inches

STEP-BY-STEP EXPLANATION:

The area of the figure would be the sum between the area of the rectangle and the area of the two semicircles, which in total would be that of the complete circle.

For the rectangle:

For the circle:

In the case of the circle, they give us the diameter that is equal to 5, but we need the radius, we know that the radius is equal to half the radius, therefore it would be like this:

Now the total area would be:;

Answer:

6 2/9

Step-by-step explanation:

56 divided by 9 is 6.22 and 2/9 is .22

To find a recursive Nevill's method when interpolating a table using a polynomial at x = 4.1, we can use the following steps:

Step 1: Set up the given data in a table with two columns, one for f(x) and the other for x.

f(x)             x

36               1.16164956

3.80201036       4.0

0.30663842       4.2

0.35916618       -123926000.4

Step 2: Begin by finding the first-order differences in the f(x) column. Subtract each successive value from the previous value.

Δf(x)            x

-32.19798964     1.16164956

-3.49537194      4.0

-0.05247276      4.2

Step 3: Repeat the process of finding differences until we reach a single value in the Δf(x) column. Continue subtracting each successive value from the previous one.

Δ^2f(x)          x

29.7026177       1.16164956

3.44289918       4.0

Step 4: Repeat Step 3 until we obtain a single value.

Δ^3f(x)          x

-26.25971852     1.16164956

Step 5: Calculate the divided differences using the values obtained in the previous steps.

Divided Differences:

Df(x)             x

36                1.16164956

-32.19798964     4.0

29.7026177       4.2

-26.25971852     -123926000.4

Step 6: Apply the recursive Nevill's method to find the interpolated value at x = 4.1 using the divided differences.

f(4.1) = 36 + (-32.19798964)(4.1 - 1.16164956) + (29.7026177)(4.1 - 1.16164956)(4.1 - 4.0) + (-26.25971852)(4.1 - 1.16164956)(4.1 - 4.0)(4.1 - 4.2)

Solving the above expression will give the interpolated value at x = 4.1.

Q2: To construct an approximation polynomial using the Hermite method, we follow these steps:

Step 1: Set up the given data in a table with three columns: f(x), f'(x), and x.

f(x)             f'(x)              x

2.572152         7.615964          1.2

3.602102         13.97514          1.3

5.797884         34.61546          1.4

14.101442        199.500           1.5

Step 2: Calculate the divided differences for the f(x) and f'(x) columns separately.

Divided Differences for f(x):

Df(x)            \(D^2\)f(x)           \(D^3\)f(x)

2.572152         0.51595           0.25838

Divided Differences for f'(x):

Df'(x)           \(D^2\)f'(x)

7.615964         2.852176

Step 3: Apply the Hermite interpolation formula to construct the approximation polynomial.

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Answer:

o = arctan (3,5) / 3/5

Step-by-step explanation:

tano = 9/15 = 3/5

The mixed numbers that have 12 as the LCD (lowest common denominator) include the following:

A. 2 11/12

C. 5 3/4.

In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number and it typically comprises the following parts;

In Mathematics, LCD is an abbreviation for least common denominator or lowest common denominator and it can be defined as the smallest number that can act as a common denominator for a given set of fractions.

Therefore, the equivalent fractions (mixed numbers) with a lowest common denominator (LCD) of 12 include the following:

2 11/12 = 35/12

5 3/4 = 23/4.

Therefore, LCD of 12 and 4 = 12.

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