(I WILL MARK BRAINIEST, PLEASE HELP WITH THIS!!!!)
Every week, Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash. Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.



Select all of the possible ways of assigning the numbers that are fair.




A)The number 1 represents Katia, 2 represents Tracy, and 3 represents Adan.


B) The odd numbers represent Katia, and the even numbers represent her other siblings.


C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.


D) The numbers 1 and 3 represent Katia, 2 and 5 represent Tracy, and 3 and 6 represent Adan.


E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.

Answer:

17 and 32

Step-by-step explanation:

x + (x + 15) = 49

2x + 15 = 49

2x = 34

x = 17

x + 15 = 32

Answer:

86°

Step-by-step explanation:

Two sides of the triangle are equal

=> ∠A = ∠C

And since ∠A = 47°

=> ∠C = 47° & ∠B = x°

Now, according to Angle sum property of a triangle

=> ∠A + ∠B + ∠C = 180°

=> 47° + x + 47° = 180°

=> 94° + x = 180°

=> x = 180 - 94 = 86°

Therefore x = 86°

Answer:

2.4

Step-by-step explanation:

Cover the 4 1/5 = 21/5 = 4.2

2x + 4.2 = 9

Subtracting 4.2 from both sides

2x = 4.8

Dividing 2 from both sides.

x = 2.4

By adding the weight of the triangle, the weight of the circle heavier than that of the square.

The linear equation that results from examining the weights will contain the following parameters.

Let t stand for the triangle.

Let c stand for the circle.

Let's use the shape square.

left side of the equation = 6s + 3t

right side of the equation = 3s + 3c

equating both sides

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

3(s + t) = 3c

dividing all through by 3

s + t = c

10 + t = c

Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle

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Answer:

There might be more than one way to approach this one. Here is my way:

In a word problem, always write down the information you have, clearly identifying what any variables represent. If you don't, it could lead to confusion later.

Let's let b represent the speed of the bus. Don't use a different variable for the speed of the car. Since we know it is 10 km/hr faster, let   b+10   represent the speed of the car.

Let t represent the time it takes the bus to travel 200 km.  Since the car takes 1 hour less, use  t-1  to represent the time it takes the car.

Our basic formula for this problem is   distance = rate x time

For the bus,  b·t = 200 km

For the car,  (b+10)·(t-1) = 200 km    Be sure you're clear on these equations. Again, each equation is that vehicles speed times the amount of time it takes. Each vehicle goes 200 km.

If you're sure you understand the two equations, we an go on.

Since both expressions are equal to 200, they are equal to each other, so we can write

    bt = (b+10)(t-1)         Now multiply on the right side, to remove the parentheses. You probably learned the FOIL method in class.

    bt = bt + 10t - 1b - 10        Again, be sure you understand this step before going on. You should do the multiplication yourself to make sure you can do it.

There is a   bt   on both sides of the equation, so subtract  bt  from both sides, to simplify things.

    0 = 10t - b - 10   (I've written b instead of 1b, since 1b is the same as b)

Now we have an equation with two variables in it, so we can't solve it yet. If we go back, we see that bt = 200. If we divide both sides of this by  b , we get   t = 200/b. We can put this expression in place of  t  in our equation.

    0 = 10(200/b) - b - 10

    0 = 2000/b - b - 10

The fraction makes the equation very difficult to work with, so let's multiply both sides of the equation by b, remembering that we have to multiply every term in the equation by b.

    b·0 = b(2000/b) - b·b - b·10

    0 = 2000 - b2 -10b

Let's multiply both sides of the equation by -1 and rearrange the terms. This gives us

    0 = b2 + 10b - 2000   which we can solve by factoring.  You should be able to take it from here. Be sure to answer both questions.

The perimeter of a triangle is 78 if QA=10. SQ=28, BR=15 and A is the midpoint of QR, B is the midpoint of RS, and C is the midpoint of SQ in triangle QRS.

In Euclidean geometry, any three non-collinear points define a unique triangle and, at the same time, a unique plane. In other words, the triangle is contained in just one plane, and every triangle is contained in at least one plane. There is just one plane and all triangles are enclosed in it if the entire geometry is merely the Euclidean plane; however, this is no longer true in higher-dimensional Euclidean spaces. Unless otherwise specified, this article is about triangles in Euclidean geometry, specifically the Euclidean plane.

Given,

In triangle QRS,  A is the midpoint of QR, B is the midpoint of RS, and C is the midpoint of SQ

Also given that,

QA=10

BR=15

SQ=28

QA=RA=10

BR=SB=15

Therefore, perimeter of the triangle=RQ+QS+RS

=(RA+QA)+(QS)+(RB+BS)

=(10+10)+(28)+(15+15)

=20+28+30

=78

Hence, the perimeter of a triangle=78

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The sine of the angle at the location of the friend's house is equal to 15 degree.

Given that the location of the friend's house to your house is equal to 10 km, and that of the perpendicular is 6 km

WE have Trigonometric identities, that are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Therefore, we know that

sine A = perpendicular/ hypotenuse

sine A = 6 km/ 10 km

sine A = 0.6

Angle A = 15 degree.

Therefore, the sine of the angle A is equal to 15 degree.

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Answer:

   see below

Step-by-step explanation:

These are always simplified by cancelling common factors from numerator and denominator. In order to do that, you have to factor the expressions. The restrictions on x give a clue as to the factors of the denominator.

  \(\dfrac{x^2+5x+6}{x^2-x-6}=\dfrac{(x+3)(x+2)}{(x-3)(x+2)}=\boxed{\dfrac{x+3}{x-3}}\)

The best possible statement to your question is x+3 / x-3

The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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Answer:

t = 6.3

Step-by-step explanation:

N=Noe^(-kt)

No = 14 grams

k = .1092

We want to find t when N = 7 or 1/2 of 14

N=Noe^(-kt)

7 = 14 e ^ (-.1092t)

Divide each side by 14

1/2 = e ^ (-.1092t)

take the natural log of each side

ln (1/2) = ln e ^ (-.1092t)

ln (1/2) = -.1092t

Divide each side by -.1092

ln (1/2)/ -.1092 = t

t≈6.3475

Rounding to the nearest tenth

t = 6.3

Answer: 6.3

Step-by-step explanation:

Answer:

110%

Step-by-step explanation:

there is an equation i learnt a few weeks ago in school: percentage change = (current amount ÷ original amount) × 100 so in this case we do 55 ÷ 50 which equals 1.1 and then we multiply it by 100 to get 110%

i hope this helps :)

Answer:

45 minutes

Step-by-step explanation:

If its 1 mile above the ground in 15 min from 1 ½, that means it descended ½ mile in 15 min, and if you multiply ½*3, you get 1 ½ miles, so multiply 15 minute * 3 and it would take 45 minutes for the entire descent to last

The entire descent lasts for 7.5 minutes, when it begins its descent at 1 1/2 miles above the ground.

Let's break this problem into two parts:

1. Find the change in height of the airplane.

2. Determine how long the entire descent lasts.

Part 1: Find the change in height

The airplane begins its descent at 1 1/2 miles above the ground, which is equivalent to 1.5 miles.

After 15 minutes, it is 1 mile above the ground.

To find the change in height, subtract the final altitude from the initial altitude:

Change in Height = Initial Altitude - Final Altitude

                                = 1.5 miles - 1 mile

                               = 0.5 miles

So, the change in height of the airplane is 0.5 miles.

Part 2: Determine how long the entire descent lasts

As, the airplane descends 0.5 miles in 15 minutes.

Set up a proportion:

(0.5 miles / 15 minutes) = (Total Descent / Total Time)

Now, solve for Total Time:

Total Time = (0.5 miles * 15 minutes) / 0.5 miles

Total Time = 7.5 minutes

So, the entire descent lasts for 7.5 minutes.

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Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

a), c)

Step-by-step explanation:

These are the conversion factors you need for this problem.

1 ft = 12 in

1 ft = 30.48 cm

1 ft = 0.3048 m

3 ft = 1 yd

Now we convert 6 ft into each of the units in the choices, in., m, cm, and yd.

a) 6 ft × (12 in.)/(1 ft) = 72 in.                      option a) is correct

b) 6 ft × (0.3048 m)/(1 ft) = 1.8288 m        option b) is incorrect

c) 6 ft × (30.48 cm)/(1 ft) = 182.88 cm       option c) is correct

d) 6 ft × (1 yd)/(3 ft) = 2 yd                         option d) is incorrect

Answer: a), c)

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

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Answer:

x=18

Step-by-step explanation:

This two angles are complementary, which means that they both add up to 90. So we could set up the equation:

(4x+1)+(x-1)=90

5x=90

x=\(\frac{90}{5}\)

x=18

Have a nice day! :)

Answer:

The final answer would be 2660

Step-by-step explanation:

Since 3 is less than 5, we do not round up. Meaning the nearest tenth is 60

Hope this helps!!<3

Answer:

51.6

Step 1: Calculate

We calculate the square root of 2663 to be:

√2663 = 51.60426338976270

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

51.60

Step 3: Round

Round 51.60 so you only have one digit after the decimal point to get the answer

Answer:

7

Step-by-step explanation:

From the graph....you can see g(-2) = -3     ( see attached diagram below)  

then f(-3) =   7             ( because -3 is less than -2. ... so it = 7)

\(f(g(-2))=7.\)

When asking for \(f(g(-2))\) they are basically asking you to evaluate the function \(g(x)\) for -2, find a y value, and plug in that value as x in \(f(x).\)

Let's do it step-by-step:

1. Find the value of g(-2).

G(x) is given as a graph, therefore, you will have to see what value of axis y marks the graphic when you make x=-2. Check the attached image. As you may notice, the value that function g(x) generates for x= -2 is y= -3. Hence, g(-2)= -3.

2. Substitute the value into f(x).

F(x) is a piecewise function, so we'll need to determine the group the value fits into and calculate with the expession that corresponds for that value. Our value is -3, this value is less than -2, therefore, the function we'll have to use is \(f(x)=7\).

3. Determine the value of f(-3).

Since f(x)= 7 for our value (-3), the result is 7.

4. Express your answer.

\(f(g(-2))=7.\)

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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1) The best way to tackle this is to write a system of linear equations.

2) So we can write out the following:

So now, let's solve it via the Substitution Method, picking the 2nd equation and plugging it into the first one:

3) Now, that we know how many dimes Jesse has, let's figure out how many nickels by plugging into one of those equations, (usually the simplest one) the number of dimes we have just found:

Answer:

7 because u are changing division to mutiplication its called replicate

Answer:

since 2 and 1/3 is a mixed number change it into an improper fraction so it will be 7/3 / 1/3 find the reciprocal of the second fraction that is one of the three the reciprocal will be 3/1 so it will be 7/3 * 3/1 because when you find the reciprocal of a second fraction you also find the reciprocal of the sine and in this case division will change to multiplication when you multiply it you'll get the answer to be 7 hope it helps

Answer:

45

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

x-6+4+5-8-3=0

x-8=0

x=8