Suppose f(x) =log(x-3) and a g(x)=x+4.
Find the domain of. (fog)(x)​

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

The correct answer is c. mass, height.

If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.

The potential energy of an object in a gravitational field is given by the equation:

Potential Energy = mass * gravitational acceleration * height

By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:

PE ∝ m * h

Therefore, increasing the mass and height of an object will increase its potential energy.

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

Area of base 6π in² has the greatest surface area.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

3 cylinders have same length of height.

We know that;

Largest the radius of base of cone has largest surface area of cylinder.

Hence, By all option;

⇒ Area of base 6π in² has the greatest surface area.

Thus, Area of base 6π in² has the greatest surface area.

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The points did the student lose is 15.

20 questions make up a test. If the response is accurate, the test provides 3 points, and if it is erroneous, 1 point is deducted. A student gave wrong answers to five questions.

To toal number of question = 20

Points for 20 question = 20 × 3

= 60

( because 3 points for 1 correct answer and 1 point for 1 incorrect answers )

So, the number of incorrect questions = 5

Points for 5 questions = 5 × 1

=5

A student attempt correct question = 20 - 5 = 15

Points for 15 questions = 15 × 3

=45

The students lose points = 60 - 45

= 15

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Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.

So let's first add up the measures of the two angles we know.

So we have 30 + 4 which is 75 degrees.

The missing angle will be equal to 180 minus 75.

So the missing angle measure is 105 degrees.

The sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0,  the results tend to

From the question, we have the following highlights

From the above highlights, the sample mean for students with a grade point average of 3.0–4.0 is greater than students with grade point average of 2.0 - 3.0

This is because 6.8 is greater than 6.4

This means that Garret's theory about the hours of sleep is correct

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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Answer: 23.07$ (Option B)

Step-by-step explanation:

Lula's Budget per day = 45%

Cost spent on two meals = breakfast + lunch

                                          = 21.93$

How much does Lula has for dinner = 45$ - 21.93$

                                                            =  23.07$

B = 12/5 units

We can find the intersection point between these two lines:

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

Formula for the Area of a Triangle:

B = 1/2bh

Substitute 2 for b and 14/5 for h.

B = (1/2) · (2) · (12/5)

Multiply and simplify.

B = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

I hope this helps!  o(〃＾▽＾〃)o

Angle of triangle AFC is 37°

An angle is the formed when two lines meet at the same vertex. It is measured is degrees. There are three types of angles based on their measurements.

From the given figure consider ABCF as trapezium,

Given that angle of triangle BCF is 37°

Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel side, add up to 180°

Therefore, ∠BCF + ∠CBF = 180°

                                  ⇒∠B = 180° - 37°⇒143°

Similarly ∠A = ∠B = 143°

⇒∠A+∠F=180°

⇒∠F=180°-143° ⇒ 37°

Hence, m∠AFC = 37°.

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The equations that can be used to solve for y, the length of the room are: y² - 5y - 750 = 0 , (y - 30)(y + 25) = 0 , y(y - 5) + 750 = 0

An equation is a mathematical statement that asserts the equality of two expressions, often with variables and constants.

To solve for y, we can use the same equation we used for x, since y represents the length of the room. Therefore, the equation we can use to solve for y is:

y² - 5y - 750 = 0

This equation can be factored as (y - 30)(y + 25) = 0, which gives us two solutions: y = 30 or y = -25. However, since the length of a room cannot be negative, the only valid solution is y = 30.

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Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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Answer:

14%

Step-by-step explanation:

Divide 770 by 5500.

You get 7/50 or 0.14.

When you convert that to a percentage, you get 14%

Based on the information given, the percentage increase will be 14%.

From the information given, it was stated that the number of foxes in national Forest has grown by 770 in the past year and that the number of foxes at the beginning of the year was 5500.

The percentage increase will be:

= 770/5500 × 100.

= 0.14 × 100

= 14%

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Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

False,

Step-by-step explanation:

There is not enough information given.

The given statement - "All the races are 175 miles long" is true.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find whether all races are more than 175 miles or not.

All the races are 175 miles long. The given statement is true.

Therefore, the given statement - "All the races are 175 miles long" is true.

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Answer:

Step-by-step explanation:

y=4x + (7/2)

when x=5

y=4(5)+ (7/2)

 =20+3.5             or         20+ (7/2)

 =23.5                 or          (40+7)/2 =47/2 =23.5

8.99ft rate is the people moving apart 15 minutes after Lyudmyla starts walking.

We’ve defined x and y to be the distance john and Lyudmila, respectively, have traveled since they started walking.

As these distances are increasing, the rates of change will be positive for both.

dx/dt=4ft/s  dy/dt=5ft/s

We can calculate x and y as well:

x= 4ft/s· 20 min · 60 s/min = 4, 800 ft

y = 5ft/s·15 min · 60 s/min = 4, 500 ft

We’re interested in how fast the distance between John and Lyudmyla is changing, the distance is labeled as z. This means we want to find dz/dt

We need an equation that relates x, y, and z. so we can use the Pythagorean Theorem:

It is the way in which you can find the missing length of a right-angled triangle.

It is in the form of a²+b²=c²

(x + y)^2 + 500^2 = z^2

This also gives us that z ≈ 9313.43 ft after the woman has been walking for 15 minutes.

Differentiating this we get

2(x + y) ·(dx/dt +dy/dt )= 2zdz/dt

Plug in our values, and we get that dz/dt ≈ 8.99ft

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Here is the required diagram .

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\qbezier(0,0)(0,0)(4,3)\qbezier(1,0)(1.2,0.35)(0.8,0.6)\qbezier(3,3)(2.8,2.65)(3.2,2.4)\put(2.5,0.02){\vector(1,0){0}}\put(1.5,3.02){\vector(-1,0){0}}\end{picture}\)

Alternate angles are equal .

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

Im pretty sure the answer is 6

Step-by-step explanation:

Leave the 24 aside for a sec. Focus on the 6÷2 and 4÷2. 6 divided by 2 is 3. And 4 divided by 2 is 2. So now its 24÷3= 8

8-2=6

Answer and Step-by-step explanation:

The negatives cancel out, so the negative 5 becomes a positive (adding) 5.

\(-2\frac{1}{3} = -\frac{7}{3}\)

\(-\frac{7}{3} + 5 = \frac{8}{3} = 2\frac{2}{3}\)

The answer choice that is correct is the last one.

#teamtrees #PAW (Plant And Water)

Answer:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91

Step-by-step explanation:

Answer:

The triangular numbers up to 100 are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91.

Step-by-step explanation:

Shouldn't it continue? Perfect Numbers, These are the numbers which equal the sum of all of their smaller factors seems simple, really. They are few and far between -- in fact, nobody knows how many there are. Only 47 perfect numbers are currently known- doesn't that take your breath away? Please Brainlist.

Answer:

because in lowest term it's ratio is same

Step-by-step explanation:

hope you understand

Answer:

The ratios of 3:2, 6:4, and 9:6 are all equivalent because when you divide the numerator over the denominator, you get the same result for all of them. This means that if we took 3/2 and got 1.5, and took 6/4 and got 1.5 as an answer, and took 9/6 and got 1.5 as an answer as well, we would have the same answer for all of them. This is why (in my own words) the ratios are all equivalent.

We know that AC is 10 centimeters long, and M is the midpoint of AC.

If we move point A as the problem says, we have.

As you can observe, the length of AC is triple.

Answer:

x=1/2 or x=0.5

Step-by-step explanation:

14=18x+8 so 18x =6 so x=1/2

Answer:

x = 1/3

Step-by-step explanation:

14 = 18x + 8

Subtract 8 from both sides.

6 = 18x

Divide both sides by 18.

6/18 = x

Simplify.

1/3 = x