Please help me with Algebra 2. It's about radians and degrees.

The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.

The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.

On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.

In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.

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The area of the region that is enclosed by `r = tan(teta)` that lies in `phi/4 < teta < phi/3` is `0.133 square units`.

We are given `r = tan(teta)` and we need to find the area of the region that is enclosed by this curve that lies in `phi/4 < teta < phi/3`.The limits of integration for `teta` will be from `phi/4` to `phi/3`.

Now, we will apply the formula for area of a polar region, which is:`Area = (1/2) ∫ [a,b] r^2 d teta`Here, `a = phi/4`, `b = phi/3`, and `r = tan(teta)`.Hence, `Area = (1/2) ∫ [phi/4,phi/3] tan^2(teta) d teta`.

We know that `tan^2(teta) = sec^2(teta) - 1`.Therefore, we can write `Area = (1/2) ∫ [phi/4,phi/3] (sec^2(teta) - 1) d teta`.Now, we integrate `sec^2(teta)` and apply the limits:`∫ sec^2(teta) d teta = tan(teta)`, limits `phi/4` to `phi/3`.

Substituting the limits, we get:`tan(phi/3) - tan(phi/4)`.

Therefore, the integral becomes: `(1/2) [tan(phi/3) - tan(phi/4) - (phi/3 - phi/4)]`.This simplifies to:`(1/2) [(√3 - 1/√3) - (1 - 1/√2)] = (1/2) [(2√3 - 2/√3 - √2 + 1/√2)]`.

Simplifying this further, we get: `0.133 square units`.

Hence, the area of the region that is enclosed by `r = tan(teta)` that lies in `phi/4 < teta < phi/3` is `0.133 square units`.

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it will take her 34 mins coz I said so innit

Answer:

y = 6x + 83

Step-by-step explanation:

Lets take two coordinates (0, 83) and (1, 87)

First we need to find the slope of the line, using the formula \(\frac{y2-y1}{x2-x1}\)

\(\frac{87-81}{1-0}\)

Solve

\(\frac{6}{1} = 6\)
Now that we have our slope, based on the table of values we know our y intercept is 83. So all we do is write a linear equation that represents the table of the values given the slope:

\(y=6x+83\)

The answer to the standard error of the average, rounded to three decimal places, will be provided. The expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

The standard error of the number (or sum) of evens in 36 draws is not provided, and it seems there was an error in calculating the expected value of the average of the draws. However, we can calculate the standard error of the average based on the previously computed standard deviation.

To calculate the standard error of the number (or sum) of evens in 36 draws, we need additional information that is not provided. Without the data or probabilities associated with the draws, we cannot determine the standard error for this specific question.

Regarding the expected value of the average of the 36 draws from the 0-1 box in question 1, it appears there was an error in calculating the expected value in the previous tries. However, given that the box contains values ranging from 0 to 1, the expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

To compute the standard error of the average, we can divide the standard deviation (already computed) by the square root of the number of draws. Since the standard deviation has been previously calculated but is not provided, we cannot give an exact value. However, if you have the standard deviation, you can compute the standard error by dividing it by the square root of 36, which is 6. The standard error is a measure of how much the sample means are expected to vary from the population mean, and it helps assess the precision of the sample estimate. By rounding the result to three decimal places, you can obtain the desired value.

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The built-in data type that stores only whole numbers is int data type

Built-in data types are the data  types used to declare and store the variables in the program, They are also known as primary data types

Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.

Here,

Here the condition is a built-in data type stores only whole numbers

So, the int data types satisfy these conditions

Hence, the built-in data type that stores only whole numbers is int data type

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The value of h ( 12 ) is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of equation A is

h ( x ) = 4x - 22   be equation (1)

Now , to find the value of h ( 12 ) , substitute the value of x = 12 in the equation , we get

h ( x ) = 4x - 22  

h ( 12 ) = 4 x 12 - 22

On simplifying the equation , we get

h ( 12 ) = 48 - 26

           = 22

Therefore , the value of h ( x ) when x = 12 is 22

Hence , The value of h ( 12 ) is 26

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The dimensions of the net for the cube lampshade which fits into the sheet of plastic with dimensions 20 cm by 15 cm indicates;

5. The area of each square of (5 cm)² on the sheet of plastic, indicates that the area of the net comprising of six squares is 150 cm²

6. The percentage of the plastic sheet wasted is 50%

What is a cubic shape?

A cubic shape is a shape that consists of six square faces, twelve edges and eight vertices. The area of each square face of side length s = Side length, s × Side length, s.

5. The surface area of the net in the figure can be calculated by finding the sum of the area of the squares within the area of the net.

The number of squares in the figure are 6 squares

The area of each square = (5 cm)²

The area of the sheet of plastic = 20 cm × 15 cm = 300 cm²

The area of the net containing six squares is therefore;

Area = 6 × (5 cm)² = 150 cm²

6. The amount of plastic sheet wasted can be obtained by finding the difference between the area of the plastic and the area of the net

Area of the sheet of plastic = 20 cm × 15 cm = 300 cm²

Area of the net = 150 cm²

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Step-by-step explanation:

did you change the reference number ?

I think the original question was "90 is how many % of 80 ?"

now it is 81.

in % calculations the most important things to identify :

what are 100% (or any other reference % level).

then what is 1%.

and then multiply this 1% by the desired number of % or divide the target number by this 1% to find out how many % the target number is.

in our case here

100% = 81

1% = 100%/100 = 81/100 = 0.81

how many % are 90 ?

well, as many as how often 1% fits into these 90 :

90/0.81 = 111.111111111... %

when the reference was 80, then we had

90/0.8 = 112.5%

a. the sum of the first 200 natural numbers is 20,100. b. when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

(a) To find the sum of the first 200 natural numbers, we can use the formula for the sum of an arithmetic series.

The sum of the first n natural numbers is given by the formula: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we want to find the sum of the first 200 natural numbers, so n = 200, a = 1 (the first natural number), and l = 200 (the last natural number).

Substituting these values into the formula, we have:

Sn = (200/2)(1 + 200)

  = 100(201)

  = 20,100

Therefore, the sum of the first 200 natural numbers is 20,100.

(b) The ball rebounds three-fourths of the distance it drops, so each time it hits the pavement, it travels a total distance of 1 + (3/4) = 1.75 times the distance it dropped.

For the 6th rebound, we need to find the distance the ball traveled when it hits the pavement.

Let's represent the initial drop distance as h (30 ft).

The total distance traveled after the 6th rebound is given by the sum of a geometric series:

Distance = h + h(3/4) + h(3/4)^2 + h(3/4)^3 + ... + h(3/4)^5 + h(3/4)^6

Using the formula for the sum of a geometric series, we can simplify this expression:

Distance = h * (1 - (3/4)^7) / (1 - 3/4)

Simplifying further:

Distance = h * (1 - (3/4)^7) / (1/4)

        = 4h * (1 - (3/4)^7)

        = 4 * 30 * (1 - (3/4)^7)

Calculating the value:

Distance ≈ 4 * 30 * (1 - 0.1335)

        ≈ 4 * 30 * 0.8665

        ≈ 104 ft

Therefore, when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

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The solution to the mathematical expression \( 35.00 - 4.30 \times 10.00 \) is 0. The calculation involves multiplying 4.30 by 10.00, which gives 43.00, and then subtracting 43.00 from 35.00, resulting in 0.

To further explain the solution, let's break down the steps involved. In the expression, we first perform the multiplication operation, which involves multiplying 4.30 by 10.00. The product of these two values is 43.00.

Next, we subtract 43.00 from 35.00. Since the subtraction operation involves subtracting a larger value (43.00) from a smaller value (35.00), the result will be negative. Therefore, the final answer is 0.

It's important to follow the order of operations in mathematical expressions to arrive at the correct solution. In this case, the multiplication operation is performed first, and then the subtraction operation is carried out. By understanding the rules of arithmetic and executing the calculations correctly, we determine that the expression evaluates to 0.

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1/0 is undefined but not infinity.

In mathematics, expressions like 1/0 are undefined. But the limit of the expression 1/x as x tends to zero is infinity.

                          i.e limx→0 1/x = infinity

Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. limit tends to some value of x varies with the expression so as there is limit of some value i.e x but not a particular limit 0f 1/x as x tends to zero is infinity. But 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.

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The complete question is:

Is 1/0  infinty or undefined?

Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

The relationship between grams and milliliters depends on the density of the substance being measured, but for water, 1 gram is equal to 1 milliliter. When working with other substances, it is important to use accurate conversion factors to ensure that your measurements are accurate.

Grams and milliliters (ml) are both units of measurement for weight and volume, respectively. Understanding the relationship between grams and milliliters is important in fields such as cooking, baking, and science experiments.

One important thing to remember is that the conversion factor between grams and milliliters depends on the substance being measured. This is because the density of a substance, or its mass per unit of volume, can vary. However, for water, 1 gram is equivalent to 1 milliliter. So, if you want to convert a certain amount of grams to milliliters for water, you can simply use the same number for both units. For example, if you have 10 grams of water, you also have 10 ml of water.

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Answer:

E = 25     G = 69      F = 86   degrees

Step-by-step explanation:

All three of the triangles sum toa 180 degrees

(4x-6) + (x+2) + 3x = 180

x = 23

then the angles are    4x-6 = 86     x+2 = 25   3x = 69

Answer:

E=25

F=86

G=69

Step-by-step explanation:

=x+4x+3x+2-6 =180

=8x-4 =180

=8x =180+4

=8x =184

=x =184/8

=x =23

Now,

x+2=23+2

     =25

4x-6=4*23-6

       =86

3x=3*23

   =69

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

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

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

\(MagicalNature\) here to  help

Answer:

22

Step-by-step explanation:

FGH - FGS = SGH

108 - 86 = 22

Answer:

∠ SGH = 22°

Step-by-step explanation:

∠ FGS + ∠ SGH = ∠ FGH , that is

86° + ∠ SGH = 108° ( subtract 86° from both sides )

∠ SGH = 22°

Answer:

  A)  2C

Step-by-step explanation:

The relevant rule of logarithms is ...

  log(x²) = 2·log(x)

__

We know that 64 = 8². So, ...

  log(64) = log(8²) = 2·log(8)

We are given that log(8) = C, so 2·log(8) = 2C

__

Here, all logarithms are to the base 9. That does not change the relations shown.

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions

Thus, based on the trend and seasonal factors, we can forecast that Tucson Machinery, Inc. will sell $42 million worth of numerically controlled machines in 2010.

Tucson Machinery, Inc.'s sales data for the past two years can be used to forecast sales for 2010.

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Answer:

$180.

Step-by-step explanation:

First lets find the interest rate.

6.1 ÷ 100 = 0.061

0.061 x $200 = 12.2

based on the calculations, 12.2 is our interest rate in a year.  Now lets find the interest rate in 15 years.

12.2 x 15 = $183

So $183 is our precise interest rate in 15 years, but lets round the interest rate to the nearest 10 dollars.  Therefore, $180 is our answer.

The smaller minimum value is -9 in function q(x). Therefore, option C is the correct answer.

The given function is q(x)=x²+2x-8.

Substitute, x=-4, -3, -2, -2, 0, 1 in the given function we get

When x=-4

q(-4)=(-4)²+2(-4)-8

= 0

When x=-3

q(-3)=(-3)²+2(-3)-8

= 9-6-8

= -5

When x=-2

q(-2)=(-2)²+2(-2)-8

= 4-4-8

= -8

When x=-1

q(-1)=(-1)²+2(-1)-8

= 1-2-8

= -9

When x=0

q(0)=-8

When x=1

q(1)=(1)²+2(1)-8

= -5

Therefore, option A is the correct answer.

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Answer:

49π ft²

Step-by-step explanation:

The area for a circle is A=πr² (Area=pi times radius squared)

and d=2r (diameter = 2 times the radius)

So, if we want to find area using the radius, we can get rearrange the equation d=2r to get r= d/2

r=d/2

r=14/2

r=7 ft

Then we can plug that answer into the area equation.

A=π×7²

7 squared is 49 so

A=49π ft²

Therefore, the population after 6 hours is approximately \(9.44 * 10^{16 }\)bacteria.

To solve this problem, we can use the concept of exponential growth, where the rate of growth is proportional to the current size of the population.

Let's denote the population at time t as P(t). According to the problem, we know that after 3 hours, the population is 3700, so we have P(3) = 3700. We also know that the initial population at time t = 0 is 2200, so we have P(0) = 2200.

Since the growth rate is proportional to the population size, we can express this relationship mathematically using a differential equation:

dP/dt = kP

where k is the proportionality constant. This is a separable differential equation, and we can solve it by separating the variables and integrating:

(1/P) dP = k dt

Integrating both sides:

∫(1/P) dP = ∫k dt

ln|P| = kt + C

where C is the constant of integration.

Now, we can use the initial condition P(0) = 2200 to find the value of C:

ln|2200| = k(0) + C

ln|2200| = C

So, the equation becomes:

ln|P| = kt + ln|2200|

To find the value of k, we can use the second given condition, P(3) = 3700:

ln|3700| = k(3) + ln|2200|

Now, we can solve this equation to find the value of k:

k = (ln|3700| - ln|2200|) / 3

Once we have the value of k, we can substitute it back into the equation and find the population at t = 6:

ln|P| = k(6) + ln|2200|

Using the properties of logarithms, we can simplify this equation:

ln|P| = 6k + ln|2200|

\(ln|P| = ln(2200^6) + ln|2200|\)

\(ln|P| = ln(2200^6 * 2200)\)

\(ln|P| = ln(2200^7)\)

Now, we can exponentiate both sides to find P:

\(P = 2200^7\)

Calculating this expression gives us:

\(P = 9.44 * 10^{16}\)

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The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

\(\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)\)

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

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Answer:

the answer is (-15,13)

Step-by-step explanation:

try to solve for x on one equation, like 8x+9y=-3

x=-9/3y-3/8

plug x in for the next equation

6((-9/8y)-3/8)+7y=1

(-27y/4)-9/4+7y=1

y/4-9/4=1

y/4=13/4

y=13

now plug in the y value for any equation

6x+7(13)=1

6x+91=1

6x=-90

x=-15

So the answer to the system of equations is (-15,13)

The equation of the new function is g(x) = 4(2ˣ)

The exponential equation is given as

f(x) = 2ˣ

Then, we have the transformation to be:

Vertically stretch by a scale factor of 4

The scale factor can be represented as k

So, we have

k = 4

The rule of vertical stretch by a scale factor of k is represented a

g(x) = kf(x)

So, we have

g(x) = 4 * 2ˣ

This gives

g(x) = 4(2ˣ)

Hence, the equation is g(x) = 4(2ˣ)

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