How many triangles are in the figure below?
- 5
- 6
- 7 < answer
- 8

This question isn't possible, so I missed it and checked afterwards. Here's the answer for anyone else who may cross it's path. If possible, I'd love to know why 7 is the answer. I really have no idea.

Answer:

[tex]\frac{73}{8}[/tex]

If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.

Answer:

I+P=A

Step-by-step explanation:

isolate a on 1 side

I=A—P

+P. +P

I+P=A

Hopes this helps please mark brainliest

Answer:

A=P+I

Step-by-step explanation:

make A the subject of formula

giving A= P+I

Answer:

Step-by-step explanation:

A=lw

= 21/4 in * 1/3in= 21/12 in.^2= 7/4in^2 or 7/4 inch squared

Answer:f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is 190.26 kW

Answer:

[tex]\dfrac{4}{35}[/tex]

Step-by-step explanation:

Dividing a number is the same thing as multiplying by its reciprocal. So:

[tex]\dfrac{4}{7} \div 5 = \dfrac{4}{7} \cdot \dfrac{1}{5}[/tex]

Finally, simplify by multiplying out the numerators and the denominators.

[tex]\dfrac{4}{7} \cdot \dfrac{1}{5} = \dfrac{4 \cdot 1}{7 \cdot 5} = \dfrac{4}{35}[/tex]

Answer:

4/7 divided by 5 is 4/35

Step-by-step explanation:

Step 1: Convert 5 into an improper fraction

    A. 5 = 5/1

Step 2: Divide 4/7 by the reciprocal of 5/1

    B. 4/7 ÷ 1/5 = 4/35

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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The measures, using the normal distribution, are given as follow:

a) Probability that a wedding costs less than $20,000: 0.257 = 25.70%.

b) Probability that a wedding costs between $20,000 and $32,000: 0.659 = 65.90%.

c) Minimum cost of the most expensive 5% of weddings:  $33,564

Normal Probability Distribution

The z-score of a measure X of a variable that has to mean symbolized by  and standard deviation symbolized by  is given by the rule presented as follows:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

The z-score represents how many standard deviations measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.

Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of measure X in the distribution.

The mean and the standard deviation for the wedding prices are given as follows:

μ = 23858, σ = 5900

a) The probability that a wedding costs less than $20,000 is the p-value of Z when X = 20000, hence:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

Z = (20000 - 23858)/5900

Z = -0.65

Z = -0.65 has a p-value of 0.257.

The probability that it costs between $20,000 and $32,000 is the p-value of Z when X = 32000 subtracted by the p-value of Z when X = 20000, found above, hence:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

Z = (32000 - 23858)/5900

Z = 1.38

Z = 1.38 has a p-value of 0.816.

0.916 - 0.257 = 0.659.

The minimum cost for a wedding to be in the most expensive 5% of weddings is the 95th percentile, which is X when Z = 1.645, hence:

1.645 = (X - 23858)/5900

X - 23858 = 1.645 x 5900

X = $33,564.

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Answer:

730 hours = 43800 minutes

Step-by-step explanation:

Formula = multiply the time value by 60

Answer:

43,800 minutes

Step-by-step explanation:

convert 730 hours into minutes​

there are 60 minutes in 1 hour so:

730 * 60 = 43,800 minutes

The perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

We need to find the perimeter of given figures.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

4) Now, sum of all the sides

= 5+3.5+1.5+3.5+5+3.5+1.5+3.5 m

= 27 m

5) Here, radius = Diameter/2 = 17 cm

Perimeter = 2 semicircles+2(17) cm

= 2 × 1/2 πr + 2×17

= 2 × 3.14 × 17 + 34

= 140.76 cm

6) In the given figure here, there are 4 similar triangles

= 4(4+3) inches

= 4 × 7

= 28 inches

Therefore, the perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

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Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old

Answer:

  a. 3/2 meters

  b. 15/4 times as great

Step-by-step explanation:

You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.

The formula for the area of a rectangle is ...

  A = LW

Filling in the known values, we can solve for the length:

  3/5 m² = (2/5 m)·L

  L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L

The length of the rectangle is 3/2 meters.

The ratio of length to width is ...

  length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4

The length is 15/4 times greater than the width.

Answer: A

Step-by-step explanation:

Answer: -34

Step-by-step explanation:

66 minus 100 is negative 34.

The value of the expression b(x) = x + 4 is -6.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, b(x) = x + 4.

When x = -10, the value of b will be:

b(x) = x + 4.

b(-10) = - 10 + 4

b= -6

The value is -6.

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Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.

Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.

Given the equations:

6x + 5y = 2 --> eqn. 1

4x + 2y = 8 --> eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 5:

12x + 10y = 4 --> eqn. 3

20x + 10y = 40 --> eqn. 4

Subtract

-8x = -36

x = 4.5

Substitute x = 4.5 into eqn. 2

4(4.5) + 2y = 8

18 + 2y = 8

2y = 8 - 18

2y = -10

y = -5

The solution is: x = 4.5 and y = -5.

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Answer:

Step-by-step explanation:

1.
4,000 mm to km = 0.004

4,000 mm to m = 4
4,000 mm to cm = 400

2.

12,000 km to m = 12000000
12,000 km to cm = 1.2e+9
12,000 km to mm = 1.2e+10

3.
5,800 m to km = 5.8
5,800 m to cm = 580000
5,800 m to mm = 5800000

4.
2 mm to km = 2e-6
2 mm to m = 0.002
2 mm to cm = 0.2

5.
40,108 to m = 40108000
40,108 to cm = 4010800000
40,108 to mm = 40108000000

There is a 0.091125 probability that all three randomly chosen houses have dogs.

In light of this, imagine that a recent survey of American homes regarding pet ownership revealed that 45% of households with pets were dog-owning, 34% were cat-owning, and 10% were bird-owning households.

• Three families are chosen at random, replaced, and with mutually exclusive ownership.

The calculation of probability is as follows based on the facts above:

=0.43^3

= 0.091125

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Two similar triangles have,

The ratio of two sides of one triangle  = Ratio of two sides of the other triangle

The distance between Alanton and Bishop is 14 miles.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

Alanton:

16 miles from Oakley.

8 miles from Crawford.

28 miles from Fayeville

We can have two similar triangles as shown below.

Two similar triangles have,

The ratio of two sides of one triangle  = Ratio of two sides of the other triangle

AB / AC = DE/ DF

8 / 16 = x / 28

1/2 = x/28

x = 28/2

x = 14

Thus,

The distance between Alanton and Bishop is 14 miles.

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the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.

now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.

The table of solutions for this quadratic equation (y = -2x²) include the following:

x                    y_

-2                  -8

-1                   -2

0                   -0

1                    -2

2                   -8

A graph of the solution of the given quadratic equation has been plotted in the image attached below.

In Mathematics, the graph of any quadratic equation or function always forms a parabola, which simply means a u-shaped curve. In order to determine the correct solutions to the given quadratic equation, we would have to substitute the x-values contained in the table into the quadratic equation.

At point x = -2, the y-value of this quadratic equation is given by:

y = -2x²

y = -2(-2)²

y = -2 × 4

y = -8

At point x = -1, the y-value for this quadratic equation is given by:

y = -2x²

y = -2(-1)²

y = -2 × 1

y = -2

At point x = 0, the y-value of this quadratic equation is given by:

y = -2x²

y = -2(0)²

y = -2 × 0

y = 0

At point x = 1, the y-value of this quadratic equation is given by:

y = -2x²

y = -2(1)²

y = -2 × 1

y = -2

At point x = 2, the y-value of this quadratic equation is given by:

y = -2x²

y = -2(2)²

y = -2 × 4

y = -8

In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.

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The value of the variables in figure x and y are 14 and 28.5 respectively.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We have been given the following parameters;

The two lines a and b are parallel to each other.

Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.

Thus, (5x - 7) =  (3x + 17)

Solving;

(5x - 7) =  (3x + 17)

5x - 3x = 17 + 7

2x = 28

x = 14

Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.

Thus,  (5x - 7) + (4y + 3) = 180

Substitute x = 14

(5(14) - 7) + (4y + 3) = 180

70 - 7 + 4y + 3 = 180

4y + 66 = 180

4y = 114

y = 28.5

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9% of the volume of the original volume is removed.

Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.

So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter

The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter

For each corner one cube so the number of cube is 4

So total volume removed = 4*27 = 108 cubic centimeters

The percent of volume is removed = (108/1200)*100% = 9%

Hence the percentage of volume removed is 9%.

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41/5

Step-by-step explanation:

14/5=9+2+q

14/5=11+q

14=55+5q

14-55=5q

-41=5q

q=-41/5

The percentage of variation in variable can be accounted for by the other variable is 81%.

What is variation in statistic?

The statistical distance between the values of the observations (data points) is what makes up a measure of variance. There are various ways to measure variation.

What is correlation coefficient?

A statistical indicator of the strength of a linear link between two variables is the correlation coefficient.

The formula of percentage of variation is:

(correlation coefficient × correlation coefficient × 100)%.

Given that the correlation coefficient is 0.90.

Thus the percentage of variation is (0.90 × 0.90 × 100)% = 81%

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Norman will measure the light pole to be 12 feet tall

Information from the question

Norman uses his sextant to measure the angle of elevation to be 36

5 feet from the ground. if he is 10 feet away from the light pole

how tall is the light pole = ?

The height of the light pole is calculated using SOH CAH TOA

The direction of movements describes a right angle triangle of

opposite = height of the light pole

adjacent = 10 feet away from the light pole

The height is is calculated using tan, TOA let the angle be x = 36

tan x = Opposite / Adjacent

tan 36 = opposite  / 10

opposite = tans 35 * 10

opposite = 7 feet

this is height 5 feet from the ground, so total height is calculated to be

5 + 7 = 12 feet

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y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph

By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:

We have x = 3 and x = 1

These values can be used to form the equation of the system. Thus:

(x-3)(x-1) = 0         (Clear the parenthesis)

x² -x-3x +3 = 0

x² -4x +3 = 0

Next, we are going to check for the option that gives the x² -4x +3 = 0

Given:  y = x²-2x+1, 2x-y=2

Rewrite 2x-y=2 to be in form y: y =2x-2

We now have  y = x²-2x+1 and  y =2x-2

Equate the two y: x²-2x+1 =2x-2

x²-2x+1 -2x+2 = 0

x²- 4x+ 3 = 0

Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer

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x= 4  is a number and five is at least half the difference of six and the same number.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.

Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.

Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

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Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)

The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.

We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)

As we parabola is quadratic function,

f(x) = a(x-8.4)(x-7.3)

It is passing through the point (0, 8.2)

8.2 = a(-8.4)(-7.3)

a = 8.2/61.32 =7.5 (approx)

Now, equation of parabola is

F(x) = 7.5(x-8.4)(x-7.3)

f(x) = 7.5(x^2-7.3x-8.4x+61.32)

F(x) = 7.5(x^2-15.7x+61.32)

Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).

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The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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