Michael buy a baket of mangoe on ale for \$ 4$4 before tax. ​

​The ale tax i 12%. ​

​What i the total price Michael pay for the baket of mangoe?

Students taking both honors courses and prefer basketball to football is 450.

Total number of students at a high school = 6000

Number of students who has taken honors courses = 1500

Number of students who prefer watching basketball to football = 1800

Let event of taking honors courses be A

and event of preferring watching basketball be B

P(A) = 1500 / 6000 = 0.25

P(B) = 1800 / 6000 = 0.3

If both the event of taking honors courses and preferring watching basketball is independent then

By using property of independent events ,

P(A∩B) = P(A) . P(B)

= (0.25)(0.3) = 0.075

Number of students taking both honors courses and prefer basketball to football = 0.075 × 6000

= 450 Students

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The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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This looks super complicated, but it can actually be solved with the application of a couple of area equations.

Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be \(\frac{1}{2}\) times the length of the base times height.

Alright, with that established, let's start trying to solve for the area.

In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.

The overall equation would be:

\(Area_{triangle}\) - \(Area_{circle}\)

This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.

Now, let's begin solving for said shaded area:

\(Area_{triangle}\) - \(Area_{circle}\)

(\(\frac{1}{2}\) * base * height) - (π*\(r^{2}\))

The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:

(\(\frac{1}{2}\) * 40 * 27) - (π * \((\frac{12}{2})^{2}\))

(540) - (π * \(6^{2}\))

540 - 36π

Use 3.14 as the value for pi:

540 - 36(3.14)

426.96

Round to the nearest tenth:

427.0

Shaded area = 427 (\(km^{2}\))

If you have any questions on how I got to the answer, don't be afraid to ask!

- breezyツ

Answer:

i believe so

Step-by-step explanation:

The area of the trapezium shown is 284.31 in²

An equation is an expression that shows the relationship between variables and numbers.

The area is calculated for a two dimensional shape. It shows the amount of space occupied for that shape.

The area of a trapezium is given by:

Area = (1/2)(sum of parallel sides) * height

For the trapezium shown, the parallel sides have a measure of 17 inches and 31 inches respectively. The height is 11.7 inches, hence:

Area = (1/2)(17 + 31.6)(11.7) = 284.31 in²

The area is 284.31 in²

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Answer:

0,-3

Step-by-step explanation:

because its across it so it probbly dose not cam o it dose poloyn it

Answer:

Answer is B

Step-by-step explanation:

Answer:

see the attachment!

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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Answer:

x less than or equal to -20

Step-by-step explanation:

x/5less than or equal to -6

X/5 less than or equal to -6+2

X/5 less than or equal to -4

Xless than or equal to -4/1/5 reciprocal -4×5/1

xless than or equal to-20 is the answer

Eliza and Sahana need to work the same number of hours until they earn the same amount of money before going to the movies.

To determine the number of hours Eliza and Sahana need to work before going to the movies, we can set up an equation based on the given information.

Let's assume Eliza earns x dollars per hour and Sahana earns y dollars per hour. Since they need to earn the same amount of money, we have the equation x * h = y * h, where h represents the number of hours they work.

By canceling out the common factor of h, we are left with x = y. This equation implies that Eliza and Sahana must earn the same hourly rate in order to earn the same amount of money. Therefore, they need to work until they both have the same hourly wage in order to go to the movies.

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(x-3)x^2+5)

It's too short. Write at least 20 characters to explain it well.

:0

Answer:

(x2 + 5)(x – 3)

Step-by-step explanation:

please like

Answer:

Step-by-step explanation:

Given the value of a family's home, in Camrose AB, given by the following exponential function f(x) = 130000(1.06)^x, where x is the number of years after the family purchases the house for $130,000. In order to calculate the best estimate for the instantaneous rate of change in the value of the home when the family has owned it for 5 years, we will have to substitute x =5 in the given function and solve as shown;

f(x) = 130000(1.06)ˣ

f(5) = 130000(1.06)⁵

f(5) = 130000*(1.06)⁵

f(5) = 130000*1.338226

f(5) = 173,969.38

Hence, the instantaneous rate of change in the value of the home when the family has owned it for 5 years is approximately  $173,969

Answer:

g(x) = g = 3(x)

g(-10) = -30

Step-by-step explanation:

as we can see in the pattern, x times 3 is equal to g(x) -->

so we can conclude that g=3(x) which means g is 3 then multiply by x

finding g(-10) = 3(-10) => -30 and thus, we have our answers

Hope this helps ad sorry if it's a little not clear!

The statement that is true about the signers' ages is that they ranged from 26 to 70. The United States Declaration of Independence was signed on July 4, 1776, and it is a foundational document that marked the formal separation of the American colonies from Great Britain.

The individuals who signed the Declaration were known as the Founding Fathers of the United States.

The fact that the ages of the signers ranged from 26 to 70 demonstrates the diversity and range of experience among the individuals who played a crucial role in the founding of the nation. It indicates that individuals of different generations and life stages were actively involved in shaping the future of the United States.

The presence of younger signers in their twenties suggests that even at a relatively young age, these individuals possessed the intellectual capacity, conviction, and leadership qualities to participate in such a significant historical event. On the other hand, the presence of older signers in their seventies highlights the enduring commitment of seasoned leaders to the cause of independence. It reflects their wisdom, experience, and dedication to securing the liberties and rights of the American people.

A histogram displaying the distribution of the signers' ages would provide a visual representation of how many signers fell into different age groups. It would show the frequency or count of signers in each age range, allowing for a better understanding of the overall age distribution among the individuals who signed the Declaration of Independence.

In summary, the true statement is that the ages of the men who signed the United States Declaration of Independence ranged from 26 to 70, showcasing the diversity of age and experience among these influential figures in American history.

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To prove that there exists an x in [0, 1] such that f(x) = x, we can use the intermediate value theorem.

Let g(x) = f(x) - x. Note that g(0) = f(0) - 0 = f(0) >= 0 (since f maps [0,1] to [0,1]) and g(1) = f(1) - 1 <= 0 (since f maps [0,1] to [0,1]). Thus, we have g(0) >= 0 and g(1) <= 0.

Now, consider two cases:

Case 1: g(1/2) = f(1/2) - 1/2 = k > 0.

Since f is continuous, there exists a δ > 0 such that for all x in [1/2 - δ, 1/2 + δ], we have |f(x) - f(1/2)| < k/2. In particular, this implies that for all x in [1/2 - δ, 1/2 + δ], we have f(x) > 1/2, i.e., g(x) = f(x) - x > 0.

Case 2: g(1/2) = f(1/2) - 1/2 = k < 0.

Using a similar argument as in Case 1, we can find a δ > 0 such that for all x in [1/2 - δ, 1/2 + δ], we have f(x) < 1/2, i.e., g(x) = f(x) - x < 0.

Therefore, in both cases, we have found an interval [1/2 - δ, 1/2 + δ] on which g(x) has a constant sign. By the intermediate value theorem, since g(0) >= 0 and g(1) <= 0, there must be an x in [1/2 - δ, 1/2 + δ] such that g(x) = 0, i.e., f(x) = x. Thus, we have shown that there exists at least one fixed point of f in [0, 1].

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2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

The scatterplot is the correct answer.

A scatter plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

The dots in a scatter plot not only report the values of individual data points but also patterns when the data are taken as a whole.

Identification of correlational relationships is common with scatter plots. In these cases, we want to know, if we were given a particular horizontal value, what a good prediction would be for the vertical value.

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Answer:

Step-by-step explanation

33

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

Answer:

Shop 1 = $260 + $20m

Shop 2 = $140 + $30m

Step-by-step explanation:

m = number of months payments are made

Total payment made = down payment + monthly payment

Shop 1 requires $260 down and a monthly payment of $20.

Shop 1 = $260 + $20m

= 260 + 20m

Shop 2 requires $140 down and a monthly payment of $30.

Shop 2 = $140 + $30m

= 140 + 30m

The equations that represent the payments plans are:

Shop 1 = $260 + $20m

Shop 2 = $140 + $30m

Answer:

an observation

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Nothing for can be done with it!

Answer:

l

Step-by-step explanation:

;

Answer: To find the area of a triangle, we can use the formula:

Area = (base * height) / 2

Given the measurements:

Base (b) = 15 cm

Height (h) = 12 cm

Substituting these values into the formula:

Area = (15 cm * 12 cm) / 2

Area = 180 cm² / 2

Area = 90 cm²

Therefore, the area of the triangle is 90 cm².

Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

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Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

The function f(x) is defined as f(x) = sin(5x + π/4), where π/4 is equivalent to 45 degrees in radians. This function represents a sinusoidal wave with a frequency of 5 cycles per unit of x and a phase shift of π/4 to the left (or in the negative x direction).

The amplitude of the wave is 1, since the sine function oscillates between -1 and 1.

To graph this function, you can start by choosing some x-values to plug into the equation. For example, if you choose x = 0, you get f(0) = sin(π/4) = √2/2. If you choose x = π/10, you get f(π/10) = sin(π/2) = 1.

Once you have a few points, you can plot them on a graph and connect them to form the wave. Because the function has a period of 2π/5, you only need to graph one cycle from 0 to 2π/5, and then repeat it for every subsequent interval of 2π/5.

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Answer:

99.7%

Step-by-step explanation:

According to the Empirical Rule:

By calculating the z-score of each observed value, we can determine how many standard deviations these observed values are from the mean:

\(\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{99-120}{7}\\ \\Z=\frac{-21}{7}\\\\Z=-3\)

\(\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{141-120}{7}\\ \\Z=\frac{21}{7}\\\\Z=3\)

Clearly, we can see that 99.7% of males in the town have a systolic blood pressure between 99 and 141 by the Empirical Rule.