A function in which each yvalue has only one corresponding x-value is called
a:
A. one-to-one function.
B. linear function.
o
c. many-to-one function.
D. nonlinear function.

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

A) 95

B) 1140

Step-by-step explanation:

If you need explanation I will give one

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

12

Step-by-step explanation:

f(2)=3(2)-1=6-1=5

g(2)=3(2)+1=6+1=7

5+7=12

Answer:

X=5

Step-by-step explanation:

-3x+8=-7

-3x=-15

X=5

Question:

QS and TV are parallel lines.



What angles are alternate exterior angles?



Options:

a) b) c) d)

Solution:

Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:

QRP and SRP



A polynomial function of least degree with real coefficients, a leading coefficient of 1, and the given zeros can be expressed as (x - a)(x - b)(x - c), where a, b, and c represent the zeros.

To construct a polynomial function with the desired properties, we can start by identifying the zeros. Let's assume the given zeros are a, b, and c.

Since the leading coefficient is 1, the polynomial function can be written as (x - a)(x - b)(x - c). Expanding this expression yields a polynomial of degree 3.

By multiplying out the terms, we obtain:

f(x) = (x - a)(x - b)(x - c) = \(x^{3}\) - (a + b + c)\(x^{2}\) + (ab + ac + bc)x - abc.

The resulting polynomial has real coefficients, as the given zeros were assumed to be real. Furthermore, the leading coefficient is indeed 1.

Therefore, a polynomial function of least degree, with real coefficients, leading coefficient of 1, and the given zeros, can be expressed as f(x) = (x - a)(x - b)(x - c).

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Answer:

5t is the answer

Answer:

t=0/5

Step-by-step explanation:

8t-3t

5t=0

t=0/5

if this is reight plz mark me brainlists plz and plz

The total amount of balls there are is : 8 + 2 + 1 + 3 + 5 = 19 (balls)

There are 5 footballs in the bag, so the probability of you selecting a football is 5 : 19 = 5/19

Answer:

9w

Step-by-step explanation:

they have the same terms so you can add them together. 6+3=9 and keep the term (w)

therefore 6x+3w=9w

Answer:

9w

add the numbers if he variables are the same

therefore you add 6 and 3 to get 9

Hope this helped!

Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.

To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:

S = P + (P × r / 100)

Where S is new sales, P is old sales, and r is a rate of increase.

In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:

S = P + (P × r / 100)

S = $82,000 + ($82,000 × 12.5 / 100)

S = $82,000 + $10,250S = $92,250

Hence, the projected sales volume for this year is $92,250.

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Answer:

Step-by-step explanation:

cot(theta) = 1 / tan(theta)

cot(theta) = 1 / -5

cot(theta) = - 0.2

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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L/W = 3/1 or L = 3*W

A = L*W = (3*W)*W = 3*W^2 = 675 m^2

W^2 = (675 m^2)/3 = 225 m^2

W = sqrt(225 m^2) = 15 m

L = 3*W = 3*(15 m) = 45 m

Answer:

B

Step-by-step explanation:

From looking at the picture, LMO and NMO equal each other. Knowing this we can write the equation 8x-23=2x+37. Once you solve that you get x=10. To find LMN you just plug in the 10. Once you do this you would get 57 for LMO and NMO. Add 57 with 57 to your 114. :D

Answer:

B

Step-by-step explanation:

MO bisector

8x-23=2x+37

8x-2x=37+23

6x=60

x=10 ,

angle LMN=8x-23+2x+37

8(10)-23+2(10)+37

80-23+20+37= 114 degrees

Answer:

Neil pays 1/3 of the total bill, which is 1/3 * 72 or 24. He then tips 20% of that which is 24 * 0.2 or 4.80. So in all he paid

24+4.80 or 28.80

Answer:

I think the value of x =50

Here, x approaches infinity, the fraction 2/(7x) approaches 0. Therefore, the limit is: lim (ln(x))²/7x as x → ∞ = 0. To get the limit of (ln(x))²/7x as x approaches infinity, we can first try using l'Hospital's Rule. However, we should first check if the conditions to apply l'Hospital's Rule are met. In this case, we have:

Step:1. lim (ln(x))²/7x as x → ∞. As x goes to infinity, ln(x) also goes to infinity. So, we have an indeterminate form ∞/∞, which means we can apply l'Hospital's Rule. Taking derivatives of both numerator and denominator with respect to x, we get:
Numerator derivative: d/dx [(ln(x))²] = 2ln(x) * (1/x) = 2ln(x)/x
Denominator derivative: d/dx [7x] = 7
Step:2. Applying l'Hospital's Rule, we have:
lim (2ln(x)/x) / 7 as x → ∞
Step:3. Simplifying the expression, we get: lim (2ln(x))/(7x) as x → ∞
Step:4. Now we can apply l'Hospital's Rule again, since we still have an indeterminate form ∞/∞:
Numerator derivative: d/dx [2ln(x)] = 2/x
Denominator derivative: d/dx [7x] = 7
Applying l'Hospital's Rule, we have: lim (2/x) / 7 as x → ∞
Step:5. Simplifying the expression, we get: lim 2/(7x) as x → ∞
Now, we can see that as x approaches infinity, the fraction 2/(7x) approaches 0. Therefore, the limit is: lim (ln(x))²/7x as x → ∞ = 0

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Situation can be modeled by a linear function, A situation that involves a constant rate of change can be modeled by a linear function.

A linear function is a mathematical representation of a relationship between two variables that forms a straight line when plotted on a graph. It is characterized by a constant rate of change between the variables.

In a linear function, the dependent variable (y) changes at a constant rate for every unit change in the independent variable (x). This means that as x increases or decreases by a fixed amount, y also changes by a consistent amount.

Situations that exhibit a constant rate of change can be effectively modeled by linear functions.

Examples include scenarios such as distance traveled over time at a constant speed, the growth of a bank account with a fixed interest rate, or the cost of an item per unit.

In these cases, the relationship between the variables can be represented accurately using a linear equation or function.

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Situation can be modeled by a linear function, A situation that involves a constant rate of change can be modeled by a linear function.

A linear function is a mathematical representation of a relationship between two variables that forms a straight line when plotted on a graph. It is characterized by a constant rate of change between the variables.

In a linear function, the dependent variable (y) changes at a constant rate for every unit change in the independent variable (x). This means that as x increases or decreases by a fixed amount, y also changes by a consistent amount.

Situations that exhibit a constant rate of change can be effectively modeled by linear functions.

Examples include scenarios such as distance traveled over time at a constant speed, the growth of a bank account with a fixed interest rate, or the cost of an item per unit.

In these cases, the relationship between the variables can be represented accurately using a linear equation or function.

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Answer:

B.

Step-by-step explanation:

2x² + x - 6x - 3

= 2x² - 5x - 3

Answer: B Edg 2020

Step-by-step explanation:

Option 2. The expression 2a^2b^3 c - 6ab^6 c is equal to 2ab^3 c(a-3b^3

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We have to solve for the solution to the following by opening the expression up.

2ab^3 c(a-3b^3)

This is well written as

2ab³c(a - 3b³)

multiply the two terms in the bracket with 2ab³c

we would have 2ab³c * a - 2ab³c*3b³

we would have:

2a²b³c - 6ab⁶c

Hence the second option is correct

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To compute the gradient of the function \(\(f(x, y) = x^{13} + 11y\)\) , we differentiate the function with respect to \(\(x\)\) and \(\(y\)\) separately.

\(\(\frac{\partial f}{\partial x} = 13x^{12}\)\)

\(\(\frac{\partial f}{\partial y} = 11\)\)

So, the gradient of \(\(f(x, y)\)\) is given by \(\(\nabla f(x, y) = (13x^{12}, 11)\).\)

To evaluate the gradient at point \(\(P(0, -3)\),\) we substitute the values of \(\(x\)\) and \(\(y\)\) into the gradient:

\(\(\nabla f(0, -3) = (13(0)^{12}, 11) = (0, 11)\).\)

The gradient at point \(\(P\) is \((0, 11)\).\)

To find the directional derivative at point \(\(P\)\) in the direction of vector \(\(u = (2, 2)\),\) we compute the dot product of the gradient and the unit vector in the direction of \(\(u\):\)

\(\(D_u(f)(P) = \nabla f(P) \cdot \frac{u}{\|u\|}\),\)

where \(\(\|u\|\)\)  is the magnitude of vector \(\(u\).\)

The magnitude of vector  \(\(u\) is \(\|u\| = \sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}\).\)

Substituting the values into the formula, we have:

\(\(D_u(f)(P) = (0, 11) \cdot \frac{(2, 2)}{2\sqrt{2}} = \frac{0 + 22}{2\sqrt{2}} = \frac{22}{2\sqrt{2}}\).\)

Simplifying, we get:

\(\(D_u(f)(P) = \frac{11}{\sqrt{2}}\).\)

Therefore, the directional derivative at point \(\(P\)\) in the direction of vector \(\(u\) is \(\frac{11}{\sqrt{2}}\).\)

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Answer:

a = 4

b = 4

Step-by-step explanation:

This is a special right triangle with angle measures of 45° 45° 90° and side lengths x x x√2

x=12°

so:(2x+1°)°+(5x+5)°+90°=180°

7x=180°-1°-5°-90°

7x=84°

x=84°÷7

x=12°

i don't know if it is x that you wanted but the it is

Answer:

x=3

Step-by-step explanation:

8x-3x=27-12

5x=15

x=15/5=3

x=3

Answer:

x=3

Step-by-step explanation:

8x + 12 = 3x + 27

Subtract 3x from both sides.

5x+12=27

Subtract 12 from both sides.

5x=15

Divide 5 from both sides.

x=3

Hope this helps!

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There are two types of data, Quantitative Data or Numerical Data and Qualitative Data or Categorical Data.

Since the data to be collected is "your favorite tv show", possible data that we can gather from that would be, "Sponge Bob", "Phineas and Ferb", "Pokemon Sun and Moon,", and other TV Shows.