suppose you want to convert kilometers to miles. you use the conversion of 1 mile = 1.6 kilometers. when using this conversion, which unit should be in the denominator?​

Answer:

f(x) = 6x + 9

Step-by-step explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

Answer:

A. [tex]f(x)=6x+9[/tex]

Step-by-step explanation:

We have been given an equation [tex]y-6x-9=0[/tex]. We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

[tex]y-6x-9=0[/tex]

[tex]y-6x+6x-9=0+6x[/tex]

[tex]y-9=6x[/tex]

[tex]y-9+9=6x+9[/tex]

[tex]y=6x+9[/tex]

Now, we will replace [tex]y[/tex] with [tex]f(x)[/tex].

[tex]f(x)=6x+9[/tex]

Therefore, our required function would be [tex]f(x)=6x+9[/tex] and option A is the correct choice.

[tex]\sqrt[3]{b^{12}}=\sqrt[3]{(b^4)^3}=b^4[/tex]

Answer: Participation bias

Step-by-step explanation: He chose to only use his own church instead of using a number of different denominations.

Final answer:

The number -12 is both an integer and a rational number, but not a whole number. The number 7/8 is a rational number but neither a whole number nor an integer.

Explanation:

We need to determine if each provided number belongs to the sets of whole numbers, integers, or rational numbers.

-12

-12 is an integer because it is a whole number that can be positive or negative, including zero. Since all integers are also rational numbers (they can be written as a ratio of integers, for example, -12 can be written as -12/1), -12 is also a rational number. However, it is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3,...).

7/8

7/8 is a rational number because it is expressed as the ratio of two integers (7 and 8). It is not an integer nor a whole number because it is not a whole number without a fractional or decimal component.

Answer:

90 degree Clockwise Rotation

Step-by-step explanation:

Look at the figure and its points. When you rotate the paper clockwise, you will see that D'E'F is in the same position as DEF.

Answer:

90 degree anti-clockwise rotation

Step-by-step explanation:

if you turn the paper anti-clockwise, u can see that DEF is turned into D'E'F.

Answer:

x veries directly to y means that

x=ky. k is solved for which is substituted into the equation.

Final answer:

To describe the situation where x varies directly with y, one uses the equation y = kx, where k is the proportionality constant signifying the ratio between y and x.

Explanation:

The student is asking for a general formula to describe the situation where x varies directly with y. When two quantities vary directly, as one increases, the other increases as well, and the relationship between them can be described by a directly proportional relationship. This can be expressed with the equation y = kx, where k is the proportionality constant. The value of k remains constant within any given relationship, indicating how much y changes in response to a change in x. If y is plotted against x on a graph, you would obtain a straight line that passes through the origin, reflecting the direct proportionality.

Answer:  110°

Step-by-step explanation:

∠A ≅ ∠B  

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

     70°    + ∠Q = 180°

                 ∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

Answer:

The correct option is 1.

Step-by-step explanation:

The general cosine function is

[tex]y=A\cos (Bx+C)+D[/tex]

where, A is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C is phase shift and D is midline.

It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.

Amplitude of the function is

[tex]Amplitude=\frac{Maximum-Minimum}{2}[/tex]

[tex]Amplitude=\frac{6-4}{2}[/tex]

[tex]Amplitude=1[/tex]

Therefore the amplitude of the function is y=5.

Midline of the function is

[tex]Mid line=\frac{Maximum+Minimum}{2}[/tex]

[tex]Mid line=\frac{6+4}{2}=5[/tex]

Therefore the midline of the function is y=5.

It completes a full cycle in 12 hours.

[tex]Period=12[/tex] hours

[tex]\frac{2\pi}{B}=12[/tex]

Period of the function is 12 hours. Therefore the correct option is 1.

Answer:

A.  Amplitude = 1 foot; period = 12 hours; midline: y = 5

Answer:

3(3a - 6b + 7c )

Step-by-step explanation:

The greatest common factor of 9, 18 and 21 is 3

Factor out 3 from each term

9a - 18b + 21c

= 3(3a - 6b + 7c) ← in factored form

Answer:

3(3a - 6b + 7c)

Step-by-step explanation:

Write each term as a multiplication of its factors. Then see which factors are in common to all terms.

9a - 18b + 21c =

= 3 * 3 * a - 2 * 3 * 3 * b + 3 * 7 * c

The common factors are shown below in bold:

= 3 * 3 * a - 2 * 3 * 3 * b + 3 * 7 * c

The only common factor is 3.

Now use the distributive property to factor out a 3.

= 3(3 * a - 2 * 3 * b + 7 * c)

Now multiply each term in parentheses again.

= 3(3a - 6b + 7c)

Heyyyyyyyyyyyy

12 is to 7 is the answer

Idlkkk

The probability of hitting the soccer goal drawn onto the wall is approximately 45%, given that the soccer shots are completely random.

The subject of this question is probability, which is part of mathematics. The scenario describes a soccer training drill where the aim is to hit a goal that has been drawn onto a wall. The goal's dimensions are 21 feet by 7 feet, and the wall's dimensions are 36 feet by 9 feet.

In order to calculate the probability of hitting the target goal, we first need to calculate the area of the goal and the area of the wall. The area of the goal is obtained by multiplying the length by the height (21ft x 7ft = 147ft^2). Similarly, the area of the wall is 36ft x 9ft = 324ft^2.

Now that we have the areas, the probability of hitting the goal can be calculated by dividing the area of the goal by the area of the wall. That is, 147ft^2/324ft^2 = 0.4537, or approximately 0.45 or 45% when converted into a percentage.

Therefore, given that the shots are completely random, there is a 45% probability that the soccer ball will hit the drawn goal on the wall.

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Answer:

15836

Step-by-step explanation:

Formula

Minor Earthquakes = (%) * Total Earthquakes.

Givens

Minor Earthquakes = ??

% = 89.6

Total Earthquakes = 17674

Solution

Minor Earthquakes = 89.6 / 100 * 17674

Minor Earthquakes = 1583590.4/100

Minor Earthquakes = 15836

Answer: There are 14940 minor earthquakes occurred in the world in 2014.

Step-by-step explanation:

Since we have given that

Number of earthquakes occurred world wide = 16674

Percentage of minor tremors with magnitude of 4.9 or less = 89.6%

So, Number of minor earthquakes occurred in the world in 2014 is given by

[tex]\dfrac{89.6}{100}\times 16674\\\\=0.896\times 16674\\\\=14939.90[/tex]

Hence, there are 14940 minor earthquakes occurred in the world in 2014.

Answer:

The solution of the equation f (x) = g (x) is the same as the coordinates of the intersection.

Exaple in the attachment.

f(x) = g(x) → x = -2, y = -1 or x = -1 and y = 0 or x = 1 and y = 2.

Answer:

The slope is [tex]m=\frac{5}{4}[/tex]   or  [tex]m=1.25[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(9,7)\ B(5,2)[/tex]

Substitute the values

[tex]m=\frac{2-7}{5-9}[/tex]

[tex]m=\frac{-5}{-4}[/tex]

[tex]m=\frac{5}{4}=1.25[/tex]

Answer:

Exact Form:

1190/ 3

Decimal Form:

396. 6

Mixed Number Form:

396  2 /3

Step-by-step explanation:

Final answer:

The volume of the triangular prism with a triangle base of 14 units and height of 17 units and a prism height of 5 units is 595 cubic units.

Explanation:

To find the volume of a triangular prism, we need to first find the area of the base triangle and then multiply it by the height of the prism. The formula for the volume of a triangular prism is given by V = (base area)  imes (prism height). However, we need to be clear about what the given 14 and 17 represent. Assuming they stand for base and height of the triangle, respectively, the area of the base triangle is A = (1/2)  imes base  imes height = (1/2)  imes 14  imes 17. Multiplying this area by the prism height of 5 units gives us the volume of the prism.
Calculating the base area: A = (1/2)  imes 14  imes 17 = 119 square units. The volume is then V = 119  imes 5 = 595 cubic units. Therefore, the volume of the triangular prism is 595 cubic units.

Answer:

The approximate measure of the largest angle formed by these streets is [tex]99.2\°[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^{2}=a^{2}+b^{2} -2(a)(b)cos(C)[/tex]

In this problem we have

[tex]a=300\ ft[/tex]

[tex]b=250\ ft[/tex]

[tex]c=420\ ft[/tex] ----> is the greater side

substitute and solve for angle C

[tex]420^{2}=300^{2}+250^{2} -2(300)(250)cos(C)[/tex]

[tex]176,400=152,500 -150,000cos(C)[/tex]

[tex]cos(C)=[152,500-176,400]/150,000[/tex]

[tex]cos(C)=-0.1593[/tex]

[tex]C=arccos(-0.1593)=99.2\°[/tex]

Answer:

51,013.84 kilometers

Step-by-step explanation:

1 kilometer= .6214

So you have to divide 31,700 by .6214

You get 51,013.839 or round it to 51,013.84

Answer:

51,013.839

Step-by-step explanation: you have to convert to kilometers

Answer:

it's A (-2.3,0.5)

Step-by-step explanation:

doing it

The approximate solution for the system of equations are (- 2.3, 0.5).

We have to given that,

The system of equations are,

8x - 10y = -23

And 9x + 10y = -16

Now, Solve the equation by substitution method as,

8x - 10y = -23  .. (i)

9x + 10y = -16  .. (ii)

From (ii);

10y = - 16 - 9x

Substitute above value in (i);

8x - (- 16 - 9x) = - 23

8x + 16 + 9x = - 23

17x + 16 = - 23

17x = - 23 - 16

17x = - 39

x = - 39/17

x = - 2.3

From (i);

8 × - 2.3 - 10y = - 23

- 18.4 - 10y = - 23

- 18.4 + 23 = 10y

4.6 = 10y

y = 4.6/10

y = 0.46

y = 0.5

Therefore, Solution is, (- 2.3, 0.5)

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Answer:

The values are 9 and 8

Step-by-step explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y  is x-y=1

x+y=17  (this is equation 1)

x-y=1     (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x   =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}

Answer:

119.45 meters

Step-by-step explanation:

This question can be solved using one of the three trigonometric ratios. The height mentioned is 298.5 + 1.5 = 300 m and the angle of depression is 28 degrees for Boat D and 34 degrees for Boat C. It can be seen that the required distance is given by x feet, which is the distance between the two boats. This forms two right angled triangle, as it can be seen in the diagram. The perpendicular is given by 300 m, the base is the unknown, and the angles 28 degrees for boat A and 34 degrees for boat B is is given, as shown in the attached diagram. Therefore, the formula to be used is:

tan θ = Perpendicular/Base (For the distance between the mountain and Boat D)

Plugging in the values give:

tan 28 degrees = 300/d.

d = 300/tan 28.

d = 564.22 m (to the nearest hundredth).

tan θ = Perpendicular/Base (For the distance between the mountain and Boat C)

Plugging in the values give:

tan 34 degrees = 300/c.

c = 300/tan 34.

c = 444.77 m (to the nearest hundredth).

The difference between d and c will be x, i.e. that distance between the boats. So 564.22 - 444.77 = 119.45 meters (to the nearest hundredth).

Therefore, the boats are 119.45 meters apart from each other!!!

To calculate the distance between the two boats, we can use the concept of angles of depression and trigonometry. The distance to boat D is calculated using the tangent function with the angle of depression and the height of the observer. The same process is used to find the distance to boat C. The distance between the boats is then the difference between these two distances.

To calculate the distance between the two boats, we can use the concept of angles of depression. Let's consider the boat D first. The angle of depression is the angle that the line of sight makes with the horizontal when looking down. In this case, the angle of depression for boat D is 28 degrees. Similarly, the angle of depression for boat C is 34 degrees.

Now, let's use trigonometry to find the distances. We can use the tangent function, which is the opposite side divided by the adjacent side. The opposite side represents the height difference between the observer and the boat, while the adjacent side represents the distance between the observer and the boat.

For boat D, we have:

tan(28 degrees) = opposite/adjacent

opposite = 1.5 m (height of the observer)

adjacent = distance between the observer and boat D

distance between the observer and boat D = 1.5 m / tan(28 degrees)

We can use the same process to find the distance between the observer and boat C:

distance between the observer and boat C = 1.5 m / tan(34 degrees)

Therefore, the distance between the boats is the difference between the distance to boat D and the distance to boat C.

Answer:

B

Step-by-step explanation:

5x+2x=7x

4-1=3

The answer is 7x + 3

Answer: 9

Step-by-step explanation:

Answer:

the remainder is 9

Step-by-step explanation:

find the remainder in the synthetic division

1         4       6        -1

Take down the first number 4 as it is. then multiply it with divisor 1 and put it below 6. then add it and do the same till we get remainder

1         4       6        -1

         0        4        10

        --------------------------------

         4        10       9 -> Remainder

So the remainder is 9

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

According to the question:

0 = -16t^2+32t.

0 = -16t(t-2).

So, at t=0 and t=2.

Thus, between t=0 and t=2, the ball is in the air.

Periodic notation (0,2).

Inequality notation 0<t<2.

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Answer: D: 2 units

Step-by-step explanation:

You may have mistaken the formula, as it's 2(l + w), not 1.

If we use this formula, we can say:

2([tex]\frac{2}{3} + \frac{1}{3}[/tex]) = 2(1) = 2

Therefore, the answer is 2 units.

Hope this helps! :^)

Answer:

t = 13.1576  years

Step-by-step explanation:

The situation can be modeled as

P = Po.(1-r)^t

Where

t is the years transcurred

Po is the initial amount

r is the rate of change

Po = 40000

r = 10% equivalent to 0.1

Now

A quarter of the original amount

(1/4)*Po = Po.(1-r)^t

(1/4) = (0.9)^t

t = 13.1576

Please, see attached picture

Answer:

The answer is x = 7

Step-by-step explanation:

3(x+2) - x + 8

Open the bracket

3(x + 2) distribute

3x + 6

3x + 6 - x + 8

combine the like terms

3x - x + 8 + 6

2x + 14

Please mark me as brainliest

First you must distribute the 3 to the numbers inside the parentheses, which would be x and 2...

(3 * x) + (3 * 2) - x + 8

3x + 6 - x + 8

Now you must combine like terms. This means that first numbers with no variables go together. Then the numbers with the same variables must be combined...

no variable combination:

3x + 6 -x + 8

6 + 8 = 14

3x - x + 14

same variable combination:

3x - x + 14

3x - x = 2x

2x + 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

Answer: