XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.

Answer:

\(\sf \boxed{ \sf y - 3 = \dfrac{3}{2} (x - 6)}\)

Explanation:

\(\sf Given \ equation: y = \dfrac{3}{2} x - 5\)

Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.

Here slope: 3/2 and y-intercept: -5

Parallel slope has the same tangent slope.

Pass through point (x, y) = (6, 3)

Equation:

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

\(\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)\)

The variable P0 represents the initial amount.

In the exponential growth model, P(t) represents the population at time t, P0 represents the initial population at time t=0, k represents the growth rate, and e is the mathematical constant, approximately equal to 2.71828. Therefore, P0 represents the initial amount or the starting point of the population.

The correct answer is B, the variable P0 represents the initial amount.

B. The variable P0 represents the initial amount.

In the exponential growth model P(t) = P0 * e^(kt), the variables are defined as follows:
- P(t): The population size at time 't'
- P0: The initial population size (i.e., the population size at the beginning, when t=0)
- e: The base of the natural logarithm (approximately 2.71828)
- k: The growth rate constant
- t: Time

In this model, P0 is the population size at the beginning of the observed period (when t=0). Therefore, it represents the initial amount.


The variable P0 in the exponential growth model P(t) = P0 * e^(kt) represents the initial amount of the population or quantity being studied.

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Answer: Line D

Step-by-step explanation:

The points in the scatterplot are closest to line D.

According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

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Answer:

Dude sorry  I’d undo

Step-by-step explanation:

Please forgive me

Answer:

4x-2

Step-by-step explanation:

4x(3x+5)-2(3x+5)

(4x-2)(3x+5)

you can see that 4x-2 is a factor

The population growth (exponential) formula, C(t) = 100·4^t, indicates;

a) C(0) = 100

C(0) = 100 indicates that 100 cells were put in the Petri dish initially by the scientist

b) C(2) = 1600 cells, C(3) = 6400 cells, C(10) = 1.67 × 10⁷ cells

c) C(t) = 100·(2^t)

d) C(t) = 300·(4^t)

e) a = The initial number of cells placed in the Petri dish

b = The growth factor

An exponential function is as function of the form, f(x) = aˣ

Where;

a = The base of the exponential function, is a positive constant number

x = The input or independent variable = The exponent.

The function for the population is; C(t) = 100·4^t, therefore;

C(0) = 100 × 4^0 = 100

C(0) = 100 which indicates that at time t = 0 (the start of the observation), the number of cells is 100

b) The number of cells are;

After 2 days, C(2) = 100 × 4² = 1600 cells

After 3 days, C(3) = 100 × 4³ = 6400 cells

After 10 days, C(2) = 100 × 4¹⁰ = 1.67 × 10⁷ cells

c) The new equation if the scientist's cells doubled their population each day instead of quadrupled is therefore;

C(t) = The number of cells after t days

d) The new equation if the scientist starts with 300 cells instead of 100 cells, can be obtained by plugging the value of 300 for 100 in the original equation as follows;

C(t) = The number of cells after t number of days

e) The general function; C(t) = a·(b^t) is an exponential function

The parts of an exponential function indicates;

a = The initial or starting value

b = The rate of increase per day, which is also known as the growth factor.

With regards to the problem, a = 100 and b = 4

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4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Answer:

  the equation is no longer quadratic

Step-by-step explanation:

A quadratic equation is a polynomial equation in which the highest-degree term has degree 2.

The value a=0 makes the squared term disappear. If 'a' is zero, the equation becomes a linear equation, not a quadratic equation:

  bx +c = 0

Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Answer:Try using app called photo math

Step-by-step explanation:Its a app you can get on youre phone it can help

Answer:

w^2+9w+20

Step-by-step explanation:

Apply the FOIL METHOD: (a + b) (c + d) = ac + ad + bc + bd

a = 5        

b = w        

c = w            

d = 4

= 5w + 5 x 4 + ww + w x 4

= 5w + 5 x 4 + ww + 4w

Simplify 5w + 5 x 4 + ww + 4w:

w^2 + 9w + 20

To solve the exponential equation 9^(8x-3) = 9^13, we can begin by observing that both sides of the equation have the same base, which is 9. According to the property of equal bases, we can equate the exponents.  exponential equation is x = 2

8x - 3 = 13.

To isolate the variable x, we can start by adding 3 to both sides of the equation:

8x = 13 + 3,

8x = 16.

Next, we divide both sides of the equation by 8:

x = 16/8,

x = 2.

Therefore, the solution to the exponential equation is x = 2

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Answer:

The first one is not a function, the 2nd one is a function

Step-by-step explanation:

Ok so first you have to like write all the inputs and outputs and like draw lines showing which goes to which.

If one of the inputs, "x" values goes to more than one of the outputs, "y" values than it isn't a function.

Answer:

B. 1 and 3

Step-by-step explanation:

pair 2 the green one is a bit bigger than the the red one

pair 4 the red one is a bit bigger than the the green one

Answer:

I'd say 1 smoothie per day

Step-by-step explanation:

The value of variable c in block d is 2.

In the given code, there are multiple nested blocks with variables a, b, c, and d. The variable c appears in two different scopes: one within block b and another within block c.

When the code reaches the  innermost block c, a new variable c is declared with a value of 3. This innermost c variable shadows the outer c variable, which has a value of 2 in block b.

Inside the innermost block c, the value of d is assigned as the concatenation of variables a, b, and c, which are all in the current scope and have values 1, 2, and 3 respectively. Therefore, the value of d is 1 2 3.

In block d, another variable e is declared and assigned the concatenation of variables a, b, and c, which are still in the current scope and have the same values. Hence, the value of e is also 1 2 3.

In summary, the value of variable c in block d is 2, not 3.

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Answer:

4,8,6

Step-by-step explanation:

replace x with 0

\(2y+4(0)=8\)

multiply 4 and 0

\(2y+0=8\)

\(2y=8\)

divide each term by 2

\(\frac{2y}{2} =\frac{8}{2\\}\)

simplify

\(y=4\)

repeat with -2 and -1

\(2y+4(-2)=8\)

\(2y-8=8\)

\(2y=8+8\)

\(2y=16\)

\(\frac{2y}{2}=\frac{16}{2}\)

\(y=8\)

\(2y+4(-1)=8\)

\(2y-4=8\)

\(2y=8+4\)

\(2y=12\)

\(\frac{2y}{2} = \frac{12}{2}\)

\(y=6\)

\(\huge\sf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)

\(:\implies\tt{2y + 0 = 8} \\ \\ :\implies\tt{2y = 8} \\ \\ :\implies\tt{y = \frac{8}{2} } \\ \\ :\implies\tt{y = 4}\)

\(:\implies\tt{2y + 4( - 2) = 8} \\ \\ :\implies\tt{2y - 8 = 8} \\ \\ :\implies\tt{2y = 8 + 8} \\ \\ :\implies\tt{2y = 16} \\ \\ :\implies\tt{y = \frac{16}{2} } \\ \\ :\implies\tt{y = 8}\)

\(:\implies\tt{2y + 4( - 1) = 8} \\ \\ :\implies\tt{2y - 4 = 8} \\ \\ :\implies\tt{2y = 8 + 4} \\ \\ :\implies\tt{2y = 12} \\ \\ :\implies\tt{y = \frac{12}{2} } \\ \\ :\implies\tt{y = 6}\)

Answer:

y = 3x + 23

Step-by-step explanation:

Given the equation :

y - 8 = 3(x + 5)

We are to convert the equation to slope - intercept form:

Recall: general form of a slope - intercept model:

y = mx + c

Hence,

y - 8 = 3x + 15

y = 3x + 15 + 8

y = 3x + 23

Comparing :

y = mx + c

y = 3x + 23

We can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment.

To determine the probability of a household not donating to the public television station given that it donates to the public radio station, we would need to have data on the number of households that donate to both stations as well as the number of households that only donate to the public radio station. Without this information, it is not possible to calculate the probability.

However, we can say that the probability of a household donating to both stations is likely lower than the probability of a household donating only to the public radio station, as donating to both stations would require a higher level of financial commitment. To answer your question about the probability a household does not donate to the public television station given that they donate to the public radio station, we would need more information. Specifically, we would need the joint probability of donating to both stations and the probability of donating to the public radio station.

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Answer: The identity property of multiplication tells us that a number x 1 has a product equal to the number (itself).

Step-by-step explanation:

For example, 4 x 1 = 4. So when we multiply by a fraction that is less than 1, our product has to be less than the number we are multiplying the fraction by.

The result of multiplying a number by a fraction often becomes either smaller, larger or equal to the largest factor.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

When you multiply a number by a fraction, the product will generally be smaller than the largest factor. This is because a fraction represents a part of a whole, and is therefore less than 1. For example, if you multiply the number 10 by the fraction 1/2, the product will be 5, which is smaller than 10.

However, it is possible for the product to be larger than the largest factor if the fraction is greater than 1. For example, if you multiply the number 10 by the fraction 3/2, the product will be 15, which is larger than 10.

It is also possible for the product to be equal to the largest factor if the fraction is equal to 1. For example, if you multiply the number 10 by the fraction 1/1, the product will be 10, which is equal to 10.

Thus, often, when a fraction is multiplied by a number, the result is either lower, greater, or equal to the greatest factor.

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Answer: 53

Given, expression:

Given values: a = -2, b = 5, c = -3

Substitute them inside the expression:

distribute

evaluate

simplify

The number we are looking for is x - 6.

To determine the number that, when subtracted from x, results in 6, we can set up the equation:

x - y = 6

Here, y represents the unknown number we are trying to find. To isolate y, we can rearrange the equation:

y = x - 6

Therefore, the number we are looking for is x - 6.

It's important to note that in mathematics, without specific values or additional information about x, we cannot determine a unique solution. The expression "6 - xx - 66 + x6 - ( x - 6)" you provided is not clear and does not allow us to solve for x or the unknown number directly. If you have specific values or additional context, please provide them, and I'll be glad to assist you further.

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Answer:

Step-by-step explanation:

Hi, there.

_______

Using the words LESS and TRIPLE:

9 less (-9) than triple x (3x) is (or yields, or is equivalent to) 45.

Hope the answer - and explanation - made sense,

happy studying!!!

Answer:

I cant speak English well. I dont understand what it says. can u explain what do u want. I'll help u

Answer:

50 pounds.

Step-by-step explanation:

25000 / 500 = 50 pounds.

Answer:

50

Step-by-step explanation:

25,000 / 500 = 50

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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