If g(x)=x^2+6 and f(x)=2x-4, find g(f(x))

Number of gallons of gas would need to travel 874.35 miles 174.034

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

Gallons Used             Miles Driven

 3333                                663.3

 4444                                 884.4

 4646                                 924.6

From table we can write

3333/663.3 = 5.024

4444/884.4= 5.024

4646/ 924.6 = 5.024

So,  number of gallons of gas would need to travel 874.35 miles

=874.35/5.024

=174.034

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Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2    6^2π= 36π    A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b)   A= πr^2         18^2 π = 324π

     A= πr^2          12^2π = 144π  

              324 – 144  = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

False. Using the unit rate of cost per pound, 5 pounds of apples cost $6.00.

Cost per pound = $12.00 / 8 pounds = $1.50

5 pounds of apples cost = 5 pounds x $1.50 = $7.50

The unit rate of cost per pound can be calculated by dividing the total cost of 8 pounds of apples by the total number of pounds. In this case, the unit rate of cost per pound is $1.50. This means that for every pound of apples, the cost is $1.50. To calculate the cost of 5 pounds of apples, we need to multiply the unit rate of cost per pound by the number of pounds. In this case, 5 pounds of apples cost $7.50, which is calculated by multiplying $1.50 by 5. Therefore, the statement that using the unit rate of cost per pound, 5 pounds of apples cost $7.50 is false.

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The following conditions must be met to conduct a two-proportion significance test:

the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.

The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.

To conduct the two-proportion significance test, the following conditions must be met:

Populations must be independent.

Sample sizes are greater than 30.

The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.

The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.

In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.


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The measure of the base angle of the isosceles triangle is approximately 29 degrees.

To find the measure of the base angle of an isosceles triangle, we can use the properties of isosceles triangles. In an isosceles triangle, the base angles are congruent.

Given that the lengths of the legs of the triangle are 22 units and the altitude to the base is 18 units, we can use the Pythagorean theorem to find the length of the base.

The altitude divides the isosceles triangle into two congruent right triangles.

Using the Pythagorean theorem, we have:

\((leg length)^2 = (altitude)^2 + (base/2)^2\\(22)^2 = (18)^2 + (base/2)^2\\484 = 324 + (base/2)^2\\(base/2)^2 = 484 - 324\\(base/2)^2 = 160\\base/2 = \sqrt{160}\\base = 2 * \sqrt{160}\\base = 2 * 12.65\\base = 25.3\)

Now that we have the lengths of the base and the legs, we can find the measure of the base angle using the inverse cosine (arccos) function.

The base angle is the angle formed between the base and one of the legs of the isosceles triangle.

base angle = arccos((leg length)/(base))

base angle = arccos(22/25.3)

base angle = arccos(0.870)

base angle = 29.3 degrees (rounded to the nearest degree)

Therefore, the measure of the base angle of the isosceles triangle is approximately 29 degrees.

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Answer:

true 8 is the common

please follow me so I will follow you

Answer:

False

Step-by-step explanation:

Premise: 8n-1 = 2n+8

6n-1 = 8

6n = 9

n = 1.5 Since n must be an integer, this is an extraneous solution. The premise is false.

Answer:

Step-by-step explanation:

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

75

Step-by-step explanation:

Angles in a triangle add up to equal 180

That being said we can find the missing angle by subtracting the measures of the given angles from 180

Thus missing angle = 180 - 34 - 71

180 - 34 - 71 = 75

Which means that the missing angle = 75

Answer:

? = 180 - (angle 1 + angle 2)

? = 180 - (71 + 34)

? = 180 - 105

? = 75°

=> To check is the answer is right, add all 3 angles together and their sum should be 180°

Hope this helps!

Answer:

It is going to be G - 3,024 m²

Step-by-step explanation:

:)

Answer:

x < 40

Step-by-step explanation:

1 lbs for 5 pigs

The ratio is 1 lbs/ 5 pigs

Let x be the number of pigs

Take the ratio and multiply by the number of pigs, this has to be less than the amount of food in the stor

x * 1/5 < 8

Multiply each side by 5

x * 1/5 * 5 < 8*5

x < 40

Answer:

Option A on edge nuity

Answer:

x=136

Step-by-step explanation:

To find the measure of the sum of the interior angles use the formula (n-2) times 180 where n is the number of sides.

A quadrilateral has 4 sides. (4-2) times 180. 2 times 180=360

The sum of the interior angles of a quadrilateral is 360.

x+47+95+82=360

x+ 224 = 360

x= 136

Solution of the given inequalities based on integer 'n' is given by :

a. Value of 'n' for 15n > 12n + 18 is n > 6.

b. All the possible integer value of 'n' for -2 <n + 3 ≤ 4 are -4, -3, -2, -1, 0.

a. Solution of the expression 15n > 12n + 18 is :

15n > 12n + 18

Subtract 12n from both the sides ,

⇒ 15n - 12n >  12n - 12n + 18

⇒ 3n > 18

Divide by 3 from both the sides,

⇒ 3n/3 > 18 /3

⇒ n > 6

b.  -2 <n + 3 ≤ 4

where 'n' is an integer

⇒ -2 -3 < n + 3 -3 ≤ 4 -3

⇒ -5 < n < 1

All the possible values of 'n' smallest to largest are:

-4, -3, -2, -1, 0.

Therefore, the answer of the questions based on integers 'n' are :

a. 15n > 12n + 18 ⇒ n > 6.

b. All possible integers of 'n' are -4, -3, -2, -1, 0.

The above question is incomplete , the complete question is:

a) Solve 15n > 12n + 18

b) n is an integer and -2 <n + 3 ≤ 4

Write down the possible values of n, from smallest to largest.

All values must be separated by commas. Eg. .... , .... , .....

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Answer:

Just put it into Geogebra Classic. It's an app that really helps with this kinda stuff

If f(x) has a constant term of -4 and h(x) has a constant term of 3, then g(0) is -3 ÷ 4.

It is an equation that is based on several input variables to determine the output based on the input variables.

The price of y apples will be $xy if the price of one apple is $x.

The result in this case is the overall cost, which is dependent on the variables x and y as previously demonstrated.

All of the equations are polynomial functions, hence linear exponents will be used to organize the variables and constants.

Then,

The constant term of f(x) is equal to -4, which is the term that is independent of all variables.

In mathematics, f(0) = 4.

The reason for this is that when x = 0, all of the variable terms disappear, leaving just the constant term.

H(x) has a constant term of 3, which is a term that is independent of all variables.

Mathematically,

h(0) = 3

h(x) = f(x) × g(x)

h(0) = f(0) × g(0)

3 = −4 × g(0)

g(0) = -3 ÷ 4

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Answer:

  -1/2

Step-by-step explanation:

You want the limit as x→0 of the ratio (6x -sin(6x))/(6x -tan(6x)).

The given expression evaluates at x=0 to (0 -0)/(0 -0) = 0/0, an indeterminate form. Hence, L'Hôpital's rule applies.

The ratio of derivatives of the numerator and denominator is ...

  (6 -6cos(6x))/(6 -6sec²(6x))

which still evaluates to 0/0 at x=0.

Applying L'Hôpital's rule a second time gives ...

  \(\dfrac{36\sin(6x)}{-72\sec^2(6x)\tan(6x)}=\dfrac{-\cos^3(6x)}{2}\)

At x=0, this evaluates to -1/2.

The limit as x→0 is -1/2.

__

Additional comment

We like to check these limits using a graphing calculator. The graph is in the second attachment.

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quick answer (A)

ALL real numbers less than or equal to 8

The Volume 12 oz on converting to millimeter is equivalent to 354.9  milliliters .

The Ounces (oz) is a unit of volume which is used in the US customary system of measurement.

The Milliliters (mL) is a metric unit of volume.

We have to convert 12 ounces to milliliters, we need to use a conversion factor.

⇒ 1 fluid ounce (oz) is = 29.5735 milliliters (mL).

So , to convert 12 ounces to milliliters , we write :

⇒ 12 ounces × 29.5735 mL/ounce = 354.882 mL ≈ 354.9 mL .

Therefore , 12 ounces is approximately equal to 354.9 milliliters.

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Answer:

1st is correct

Step-by-step explanation:

Like charges repel each other.

HOPE THIS HELP YOU ,FOR ANY QUESTION PLEASE ASK ME

Answer:

Slope of the line is = \( \frac{5}{2} \)

y-intercept = 5

Step-by-step explanation:

Slope (m) is can be calculated using the formula, \( m = \frac{y_2 - y_1}{x_2 - x_1} \)

Use the coordinates of any two points located on the line. Let's use, (14, 40) and (10, 30).

Let,

\( (14, 40) = (x_1, y_1) \)

\( (10, 30) = (x_2, y_2) \)

Plug the above values into the formula to find the slope (m).

\( m = \frac{30 - 40}{10 - 14} \)

\( m = \frac{-10}{-4} = \frac{5}{2} \)

Slope of the line is = \( \frac{5}{2} \)

Find y-intercept using y = mx + b

Where m = slope, and b = y-intercept

Use (10, 30) as (x, y).

30 = 5/2*10 + b

30 = 25 + b

30 - 25 = b

5 = b

b = 5

The scenario that is an example of simple random sampling is option C: "A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey."

Simple random sampling is a method of selecting a sample from a population in which every member of the population has an equal chance of being chosen.

In option C, the supermarket chooses every 20th customer entering the store, which ensures that each customer has an equal chance of being selected. Therefore, this is an example of simple random sampling.

Options A, B, and D do not meet the criteria for simple random sampling, as they involve selecting specific regions, asking for opinions from readers, or mailing questionnaires to students, which does not ensure that every member of the population has an equal chance of being selected.

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The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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Answer:

A. \((x,y)\) ⇒ \((kx, ky)\)

Step-by-step explanation:

Because that's the dilation equation or formula

Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees