in circle T with m angle STU=50 and ST=3 units, find the length of arc SU. Round to the nearest hundredth.

To ensure that there is an equal number of glass bears in each group, Mrs. Dryson constructed a total of 17 groups, which can be calculated using arithmetic operations.

What is arithmetic operations?

The study and application of numbers in all other fields of mathematics are covered in the area of mathematics known as arithmetic operations. Addition, subtraction, multiplication, and division are included in the basic operations.

As given in the question,

Mrs. Dryson divided her collection of 52 glass bears into equal groups and She had one bear left over

The steps listed below can be used to calculate the total amount of Mrs. Dryson's products:

Step 1: Arithmetic operations can be utilized to calculate Mrs. Dryson's overall output.

Step 2: Keep in mind that there are 52 glass bears in all, and after separating them into equal groups, she was left with just one bear.

Step 3 - The total bear population to divide into groups of an equal number is calculated as follows:

= 52 - 1 = 51

Step 4: The number that is divided by 51 such that the result is an integer is 3.

Step 5 - As a result, Mrs. Dryson created a total of the following groups:

= 51/3 = 17.

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The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

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In algebra, the vertex form of a quadratic equation is a way of expressing the equation in the form:\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola defined by the equation. The value of 'a' determines whether the parabola opens up or down and the value of 'h' and 'k' determine the position of the vertex on the coordinate plane.

For example, the standard form of a quadratic equation is:

\(y = ax^2 + bx + c\)

To convert this to vertex form, you would first complete the square to get all the terms of x on one side of the equation and a constant on the other side. Then, you would put the equation in the form shown above.

So, given the equation \(y = 3x^2 + 6x - 4\), we can complete the square to get:

\(y = 3(x^2 + 2x) - 4\)

then rearrange it to

\(y = 3(x^2 + 2x + 1) -7 = 3(x+1)^2-10\) which is in vertex form with vertex (-1,-10)

The vertex form of a quadratic function provides a convenient way to quickly identify the vertex of the parabola without having to complete the square every time.

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The correct question is:

Explain vertex form.

Answer:

NO because

Step-by-step explanation:

1/2+1/2+1/4=1 1/4

1/2=25min

25+25+12.5=62.5

It would take 62.5 min to do 1 1/4 acres

Answer:

They should sample the results of 1990 patient results.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that \(\pi = 0.25\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for \(M = 0.025\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}\)

\(0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}\)

\(\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}\)

\((\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2\)

\(n = 1989.2\)

Rounding up:

They should sample the results of 1990 patient results.

The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

veriable constant variable

Step-by-step explanation:

took the test

The constant term is 2 and the variable terms are '9gh' and 'g' in the given polynomial.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

⇒ 2gh + 2 + g

In the above polynomial, the letter 'g' and 'h' are variables.

The constant term is that term in which no variable is there. Then the constant term is 2.

And the variable terms are '9gh' and 'g'.

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Answer: x=−94/5

Step-by-step explanation:

Answer:

x= -94/5 Decimal: -18.8 Mixed Number: -18 4/5

Step-by-step explanation:

Answer:

8x+30 for the first. 8x-20 for the second.

Step-by-step explanation:

The first is 2(-x+3)+10x+24

Second is 4(2x-5)

Answer: 60 ft

Step-by-step explanation:

We can set up ratios to solve this problem. First, let's use x to represent the actual height of the tree. The tree, with heigh x, casts a shadow of 80 feet.

This gives us a ratio of 80:x

Next, they say that a yardstick (1 yd = 3 ft) casts a shadow of 4 ft. Therefore we can set up a ratio of 4:3.

We can compare these ratios by saying

80/x = 4/3. By cross multiplying, you get that 4x = 240.

x = 60 ft

Equation

y = -3(x + 4)^2 - 1

y + 1 = -3(x + 4)^2

Vertex are the numbers next to the variables and changing the signs.

Vertex = (-4, -1)

Letter A is the correct choice

Answer:55

Step-by-step explanation:

Answer:

$1000

Step-by-step explanation:

We can model the price of a given car with the formula \(P=I\cdot\frac{1}{2}^t\), where P is the current price of the car, I is the initial price, and t is the amount of time in decades that the car has been around. Plugging 2000 in for I and 1 in for t, we get:

\(P=2000\cdot\frac{1}{2}^{t}=2000\cdot\frac{1}{2}=1000\)

Answer:

5.353

Step-by-step explanation:

hope this helps!

Answer:

5.353

Step-by-step explanation:

There are many numbers that satisfy this condition and 5.353 is one of them

Answer:

5/x3

Step-by-step explanation:

just calculated it

The area of parallelogram EFGH is 1/4S^2

From the question, we have the following parameters that can be used in our computation:

Given the ratio 1 : 2, we have

EFGH : ABCD = 1 : 2

Take the squares (to get the area)

EFGH^2 : ABCD^2 = 1 : 4

The area of ABCD is S

So, we have

EFGH^2 : S^2 = 1 : 4

This gives

EFGH^2/S^2 = 1/4

Evaluate

EFGH^2 = 1/4S^2

Hence, the area is 1/4S^2

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Answer:

this triangle is a acute angel so it 3

Answer: m=1

Step-by-step explanation:

Use the equation y=y2-y1 over x2-x1

1.  label your points

     0=x1

     -2=y1

      -3=x2

       -5=y2

The first pair is x1 and y1 and the next pair is x2 and y2

plug in the numbers to find your answer

Answer:

x=11

Step-by-step explanation:

We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.

Simplify

15x+15=180

Solve

Take away 15 from both sides

15x = 165

Divide 165 by 15

x = 11

Pizza Express has a larger constant of proportionality than Perfect Pizzas because 1.6 > 1.5

15/6        6/4

  Simplify

5/3    >    3/2

PE: 5/3 or 1.6

PP: 3/2 or 1.5

I had this on my math test

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

2736 square feet

Step-by-step explanation:210 minus 18(9 times 2 )equals 192 then 192 divided by 4 (4 because 4 side )equals 48 (48 is the width) to get the length 48 plus 9 equals 57 (57 is the length) to  get the area multiply length times width so 57 times 48 equals 2736 square feet

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Among the options provided, the one that best describes the meaning of the y-intercept is:

The cab charges a base fee of $6.

The point where a line or curve contacts the y-axis in a graph is known as the y-intercept. The dependent variable's value is represented by the graph's vertical axis or y-axis.

The value of the dependent variable when the independent variable is zero is represented by the y-intercept. The y-intercept, for instance, depicts the cost of the taxi ride when the distance traveled is zero in a graph that shows the cost of a taxi ride as a function of the distance traveled. This amount can represent a set cost that is added to a variable cost, like a cost per mile, such as a base price.

Using the given investment method:

FV = P(1 + r/n)^(nt)

FV = 1000(1 + 0.03/4)^(4*15)

FV = $1,489.36

Using annual compounding:

FV = P(1 + r)^t

FV = 1000(1 + 0.03)^15

FV = $1,520.10

These calculations show that the future value of the investment using annual compounding is higher than the future value using the given investment method.

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Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

Answer:

The width of new phone = 5.5 inches

Step-by-step explanation:

Given that:

Length of cell phone = 1.4 inches

Width of cell phone = 4.4 inches

Ratio of length to width = 1.4 : 4.4

Length of new version = 1.75 inches

Width of new version = x

Ratio of length to width = 1.75 : x

As the relation is proportional;

\(1.4:4.4 ::1.75:x\)

Product of mean = Product of extreme

4.4 * 1.75 = 1.4x

7.7 = 1.4x

1.4x = 7.7

Dividing both sides by 1.4

\(\frac{1.4x}{1.4}=\frac{7.7}{1.4}\\x=5.5\\\)

Hence,

The width of new phone = 5.5 inches