Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. How much less did Dan or Thomas spend?


A. $0.25

B. $0.05

C. $0.15

D.$0.10

Answer:

are we supposed to solve the graph

Step-by-step explanation:

The selection of the appropriate immune suppressant is made by healthcare professionals based on the specific needs of each patient.

The most commonly used immune suppressant in medical practice is a medication called "cyclosporine." Cyclosporine belongs to a class of drugs known as calcineurin inhibitors and is primarily used to prevent organ transplant rejection.

The activity of T-cells, which are a type of immune cell involved in the body's immune response.

Cyclosporine is also used in the treatment of various autoimmune diseases, such as rheumatoid arthritis and psoriasis, where the immune system mistakenly attacks the body's own tissues.

T-cell activity, cyclosporine helps to reduce the inflammatory response and prevent further damage to the affected organs or tissues.

It's important to note that there are several other immune suppressants available, and the choice of medication depends on the specific condition being treated, the patient's overall health, and individual factors.

A commonly used immune suppressants include corticosteroid methotrexate, azathioprine, mycophenolate mofetil, and tacrolimus.

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Complete question:

While studying the T- and B-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is what?

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

The answer is D (last bullet)

The function f(x,y) = xy - x - y has a saddle point at (1,1) and no local maxima.

To find all the local maxima, local minima, and saddle points of the function f(x,y) = xy - x - y, we can use partial derivatives.

f_x = y - 1 = 0 => y = 1 f_y = x - 1 = 0 => x = 1

So the critical point is (1,1).

The second partial derivative test is used to determine whether the critical point is a maximum, minimum or saddle point.

f_xx = 0 f_xy = 1 f_yx = 1 f_yy = 0

D = f_xx * f_yy - f_xy * f_yx = 0 * 0 - 1 * 1 = -1 < 0

Since D < 0, the critical point (1,1) is a saddle point.

Therefore, there are no local maxima.

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After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

Answer:

Add all the given side lengths:

1 + 16 + 16 + 4 = 37!

Answer:

\(x = \frac{1}{3} or \: x = - \frac{7}{2} \\ 3x - 1= 0 \: or \:2 x + 7 = 0 \\ \therefore(3x - 1)(2 x + 7)\)

The dimensions of the rectangular sticker with perimeter of 20 centimeters and area of 21 square centimeters are either 3 cm by 7 cm or 7 cm by 3 cm.

To find the dimensions of the rectangular sticker, we need to use the given information about its perimeter and area. Let's start by using the formula for perimeter of a rectangle:

Perimeter = 2(length + width)

We know that the perimeter of the sticker is 20 centimeters, so we can write:

20 = 2(length + width)

Simplifying this equation, we get:

length + width = 10

Now let's use the formula for area of a rectangle:

Area = length x width

We know that the area of the sticker is 21 square centimeters, so we can write:

21 = length x width

We now have two equations with two variables (length and width). We can use substitution to solve for one of the variables. Let's solve for width in terms of length using the perimeter equation:

width = 10 - length

Now we can substitute this expression for width into the area equation:

21 = length x (10 - length)

Expanding the right side, we get:

21 = 10 length - length^2

Rearranging and simplifying, we get a quadratic equation:

length^2 - 10 length + 21 = 0

We can solve this quadratic equation using factoring or the quadratic formula. Factoring gives us:

(length - 3)(length - 7) = 0

So the possible values for length are 3 and 7. If we plug these values into the width equation, we get:

width = 10 - length

For length = 3, width = 7
For length = 7, width = 3

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Answer:

0.75

Step-by-step explanation:

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

Answer:

the answer is C .............

Answer:

x<7

Step-by-step explanation:

x+4>2x-3

Add 3 to both sides: x+7>2x

Subtract x from both sides: 7>x or x<7

Answer:

they each costed $3

Step-by-step explanation:

Answer:

30 degrees.

Step-by-step explanation:

Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.

The wheel has 12 "handles." We can use these as reference points when rotating the image.

We also know that we can rotate by a total of 360 degrees. We can say that:

360/12 = 30 degrees.

Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.

I hope this helps!

Answer:

-√32 < 59/11 < √30 < 5.49

The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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Answer:

the length of the shortest ladder is 11.41 feet

Step-by-step explanation:

The computation of the length of the shortest ladder is shown below:

AB^2 = AC^2 + BC^2

AB^2= (10)^2 + (5.5)^2

AB^2= 100 + 30.25

AB^2 = 130.25

AB = 11.41 feet

hence, the length of the shortest ladder is 11.41 feet

Answer:  2 vertices

The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.

The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.

All of the methods mentioned, i.e., bar chart, pie chart, and relative frequency table are valid ways to summarize or visualize categorical variables. Option D.

They are commonly used in data analysis to gain insights into the distribution and proportion of different categories within a dataset.

A bar chart is a graphical representation of data that uses rectangular bars to display the frequency or proportion of different categories. It is useful in comparing the frequencies of different categories and identifying the most common or rare categories.

A pie chart is another graphical representation of data that uses slices of a circle to display the relative frequency or proportion of different categories. It is useful in showing the proportion of each category in relation to the whole.

A relative frequency table is a tabular representation of data that displays the frequency and proportion of each category. It is useful in comparing the frequencies and proportions of different categories and identifying the most common or rare categories.

Therefore, none of the options given would be an invalid way to summarize or visualize categorical variables. The choice of which method to use depends on the nature of the data and the purpose of the analysis.

It is important to choose a method that effectively communicates the information being presented and is appropriate for the audience. So Option D is correct.

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Note the correct question is

Which of the following would NOT be a valid way to summarize or visualize a categorical variable? Choose the correct answer below

A.)Bar chart

B.)Pie chart

C.)Relative frequency table

D.)None of the above

Answer:

4.17 Pounds

Step-by-step explanation:

To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!

Answer: 28x+8y+2 .

= -2 (-14x-4y-1)

= 28x + 8y + 2

Step-by-step explanation:

Answer: 28x + 8y + 2

Step-by-step explanation:

-2(3x+12y-5-17x-16y+4)

= -2(3x-17x+12y-16y-5+4)

= -2(-14x-4y-1)

= -2(-14x) -2(-4y) -2(-1)

= 28x+8y+2

The correct number line for n < -3 is the fourth number line as shown in the options

Here we have to represent,

n < -3 on a number line,

Since we know that,

A number line is a visual depiction of numbers on a straight line drawn horizontally or vertically.

When we write numbers on a number line, we can easily compare them and execute simple arithmetic operations on them. A number line's origin is defined as zero (0).

The numbers to the left of 0 are all negative, whereas the numbers to the right of 0 are all positive.

So, as we walk towards the right on a number line, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

Now for n < -3

It represents all the less than -3

Therefore,

We mark all the number which comes under less than - 3

Now the correct number line for  n < -3  is attached below.

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The correct answer  to the Fourier series coefficient of a periodic function is option (E) None of the mentioned.

Fourier series coefficients of a periodic function can be calculated by solving the integral of the product of the function and the corresponding complex exponential function over one period.

The Fourier series coefficients of the periodic time function:

x(t) = 1 + cos(2nt)

can be found as follows:

a₀ = (1/T) * ∫[T] (1 + cos(2nt)) dt

Here, T represents the period of the function, which in this case is 2π/n, where n is a positive integer.

For the constant term, a₀, we have:

a₀ = (1/2π/n) * ∫[2π/n] (1 + cos(2nt)) dt

  = (n/2π) * [t + (1/2n)sin(2nt)]|[2π/n, 0]

  = (n/2π) * [2π/n + (1/2n)sin(4π) - 0 - (1/2n)sin(0)]

  = (n/2π) * [2π/n]

  = n

Therefore, the value of a₀ is n, but it is not one of the given options.

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Answer:  x=12,-4

Step-by-step explanation:

Answer:

Angle 1= 107° Angle 2= 73°

Step-by-step explanation:

Angle 1 = 107°

180°-107°=73°

Angle 2= 73°

The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

\(\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi \times (r)^2 \times 4 \\\\ r= 4.5 \ inch\)

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

\(\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2\)

Hence, the approximate volume of each slice will be 63.5 inch².

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Answer:

I believe this would be 38in^3

Answer:

39 centimeters

Step-by-step explanation:

to find the area of a circle you first find the radius which is the disctance from the edge of the plate to the center. you then multiply it by pi to find the total area.

The required area of the given plate with a diameter of 25 centimeters is 491 centimeters². Option B is correct.

The area of the circle is given by the pie times square of the radius.

Area of circle = πr^2

here,
A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.

So, the Diameter of the plate = 25 centimeters,

The area of the plate is given as,
Area of plate = π × [diameter/2]²
                   = 3.14 × [25/2]
                   = 491 centimeters²

Thus, the required area of the given plate is 491 centimeters². Option B is correct.

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Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ 1 - sin²x = cos²x

cot x = \(\frac{cosx}{sinx}\)

Consider the left side

\(\frac{(1-sin0)(1+sin0)}{sin^20}\) ← expand numerator using FOIL

= \(\frac{1-sin^20}{sin^20}\)

= \(\frac{cos^20}{sin^20}\)

= cot²Θ = right side

Answer:

18

Step-by-step explanation:

7x+4=130

7x=126

x=18

Answer:

18

Step-by-step explanation:

We can put this into "equation" terms to make it easy for us to solve for the number. Let's assign the "number" the variable x.

The sum of 4 and 7 times a number is 7x + 4. All of this is 130 which means it's equal to 130. So below is how it looks like:  

7x + 4 = 130

7x = 126

x = 18

The number therefore is 18

Answer:

1. a. 544%

b. 84%

2. 175

3. $867.18

Step-by-step explanation:

1. a.2.32-0.36=1.96

1.96/0.36=5.44

5.44*100=544

b. 1.96/2.32=0.84

0.84*100=84

2. let x = # of 7th graders

let y = # of 8th graders

y is 125% of x

y=1.25x

x=140

y=1.25*140

y=175

3. A=P(1+r)^t

A=700(1+0.055)^4

A=867.18