Find the solution and also verify your answer , under root 12 x 12 x - 4 is equals under root 4 x + 8

Option B x = -2 to x = 1 in this interval the function is increasing and linear

What does a function show as increasing and decreasing?

If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.

To determine if a function is increasing or decreasing on an interval, we need to know the sign of its first derivative on that interval. To determine if a function is linear, we need to know if the function is of degree one.

A function that is linear is of degree one and the graph of a linear function is a straight line, where the slope of the line is the coefficient of x.

To determine if a function is linear and increasing or decreasing on an interval, we need to determine the sign of the first derivative of the function on that interval, if the first derivative is positive, the function is increasing, if it is negative, the function is decreasing.

Additionally, it is also important to consider the domain of the function, to ensure the function is defined on that interval.

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The \($n^{th}$\) term of the given sequence is \($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)

The given sequence is  

\($$-\frac{1}{5}, \frac{2}{6}, -\frac{3}{7}, \frac{4}{8}, \dots$$\)

The problem is to find the first 5 terms and the \($n^{th}$\) term of the given sequence.

Step-by-step explanation: The given sequence is

\($$-\frac{1}{5}, \frac{2}{6}, -\frac{3}{7}, \frac{4}{8}, \dots$$\)

To find the first 5 terms of the given sequence, we will plug in the values of n one by one.

We have the sequence formula,

\($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)

When n = 1,

\($$a_1 = (-1)^{1+1} \frac{1}{1+4} = -\frac{1}{5}$$\)

When n = 2,

\($$a_2 = (-1)^{2+1} \frac{2}{2+4} = \frac{2}{6} = \frac{1}{3}$$\)

When n = 3,

\($$a_3 = (-1)^{3+1} \frac{3}{3+4} = -\frac{3}{7}$$\)

When n = 4,

\($$a_4 = (-1)^{4+1} \frac{4}{4+4} = \frac{4}{8} = \frac{1}{2}$$\)

When n = 5,

\($$a_5 = (-1)^{5+1} \frac{5}{5+4} = -\frac{5}{9}$$\)

Thus, the first 5 terms of the given sequence are \($$-\frac{1}{5}, \frac{1}{3}, -\frac{3}{7}, \frac{1}{2}, -\frac{5}{9}$$\)

Now, to find the \($n^{th}$\) term of the given sequence, we will use the sequence formula.

\($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)

Thus, the \($n^{th}$\) term of the given sequence is \($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)

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The solution is Option A and Option D.

The values which will satisfy the inequality equation x² + 3x - 4 > 0 are when x = -6 and x = 5

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

x² + 3x - 4 > 0

On simplifying the equation , we get

Taking the common terms in the equation and factorizing , we get

x² + 4x - x - 4 > 0

x ( x + 4 ) - 1 ( x + 4 ) > 0

( x - 1 ) ( x + 4 ) > 0

So , the value of x which will satisfy the inequality equations are

( x - 1 ) > 0

Adding 1 on both sides of the equation , we get

x > 1

So , all the numbers greater than 1 would satisfy the inequality equation

And ,

x + 4 < 0

Subtracting 4 on both sides of the equation , we get

x < -4

So , all the numbers lesser than -4 would satisfy the inequality equation

Therefore , the inequality relation is given by 1 < x < -4

when x = -6

Substituting the values in the equation , we get

x² + 3x - 4 > 0

( -6 )² + 3 ( -6 ) - 4 > 0

36 - 18 - 4 > 0

14 > 0

Therefore , the inequality relation is true

when x = 5

Substituting the values in the equation , we get

x² + 3x - 4 > 0

5² + 3 ( 5 ) - 4 > 0

25 + 15 - 4 > 0

36 > 0

Therefore , the inequality relation is true

Hence , the values which satisfy the inequality equations are -6 and 5

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Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: \(\frac{19}{100}=\frac{x}{15000}\), cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer: A 10 base block is worth .1, so you can keep on adding a ten base block to 1.54. 1.54 + (.1 x 23). After that you can use one base blocks to add the .04 to 1.54.

Step-by-step explanation:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

Interest = $ 2247.00

Step-by-step explanation:

principal=$6600

Amount=$8847

time=4 years

Interest=Amount - principal

=$8847 - $ 6600

=$2247 =

=$2247.00

Answer:

14

Step-by-step explanation:

Answer:

it 18

Step-by-step explanation:

:D

Answer:

4th option OR last option

Step-by-step explanation:

Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.

Hexagon = 6 sides

This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.

Hope this helps, thank you !!

The expression for temperature change in City A is 9 + (-8)

The amount the temperature changes for City A = 1°F

The expression for temperature change in City B is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Based on the available data:

The expression for that represents the temperature change from 8 am to 10 am is, therefore;

The temperature change from 8 am to 10 am are

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

The temperature change from 8 am to 10 am are

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

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Answer:

Step-by-step explanation:

Theorem

An inscribed quadrilateral is one where all four angles touch the circumference of the circle containing those 4 angles.

The opposite angles can be shown to be supplementary (that is equal to 180 degrees)

Answer: Supplementary

Answer:

341.125

Step-by-step explanation:

8187/24

341.125

Answer:

-12 I think so I don't know pls check it once sorry

Answer:

see explanation

Step-by-step explanation:

here,3x=6(being X and 3 are intersected by 6)

or x=6/3

or x=2

Answer: 12

Step-by-step explanation:

3 x 12= 36 and the square root of 36 is 6

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

24/36

Step-by-step explanation:

Have a nice day..........

3Justin's estimated Vo2 max is 25.8(mL*kg*min)

What is Vo2 max ?

 The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.

Here using vo2 max fomula 1.5 miles ,

=> VO2 max = 3.5+483/Time

Here Time= 11 min 25 sec = 25/60 = 0.41 min

Then time=11.42 mins. Now,

=> VO2 max = 3.5+ 483/11.41

=> VO2 max = 3.5+42.3

=>VO2 max = 25.8(mL*kg*min)

Hence His estimated Vo2 max is 25.8(mL*kg*min)

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Answer:

21

Step-by-step explanation:

Given

b - 4a ← substitute a = 6 and b = 45 into the expression

45 - 4(6) = 45 - 24 = 21

Answer:

21

Step-by-step explanation:

When you plug the values in the expression becomes 45 - 4(6). Following the order of operations multiply 4(6) first. Now the equation is 45 - 24. Subtract these numbers to get 21.

To count the number of different 6-letter strings that can be formed using the letters c, i, r, c, l, and e, we can use the permutation formula. There are 6 choices for the first letter, 5 choices for the second letter (since we can't use the same letter twice), and so on, giving us:

6 x 5 x 4 x 3 x 2 x 1 = 720

However, not all of these strings meet the condition that the two occurrences of the letter c are separated by at least one other letter. To count the number of strings that do meet this condition, we can use the complementary counting method.

First, let's count the number of strings in which the two c's are adjacent. There are 5 positions where the two c's could be (the first two, second and third, third and fourth, fourth and fifth, or last two positions), and once we place the c's, we have 4 letters left to fill in the remaining 4 positions. This gives us:

5 x 4 x 3 x 2 x 1 = 120

Now, let's count the total number of 6-letter strings that have at least one pair of adjacents c's. We can use the same method as above, but this time we can place the two c's anywhere in the string, giving us:

6 x 5 x 4 x 3 x 2 x 1 - 5 x 4 x 3 x 2 x 1 = 720 - 120 = 600

Finally, we can subtract this from the total number of 6-letter strings to get the number of strings in which the two c's are separated by at least one other letter:

720 - 600 = 120

Therefore, there are 120 different 6-letter strings that can be formed using the letters c, i, r, c, l, and e in which the two occurrences of the letter c are separated by at least one other letter.

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Answer:

659

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

53.8 L

Step-by-step explanation:

We can use the ideal gas formula that relates pressure, volume and temperature:

\(\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}\)

where P1 = initial pressure = 1.0 atm

V1 = initial volume = 45 L

T1 = initial temperature = 25°C = 25 + 273 = 298 K

P2 = final pressure = 0.78 atm

V2 = final volume

T2 = final temperature = 5.0°C = 5 + 273 = 278 K

Therefore, the final volume will be:

\(\frac{1 * 45}{298} = \frac{0.78 * V_2}{278}\\\\0.151 = 0.002806 V_2\\\\=> V_2 = 0.151 / 0.002806\\\\V_2 = 53.8 L\)

Its volume is 53.8 L

The measure of <YXP and <YZQ are 35 and 65 degrees respectively

Equilateral triangles are triangles that has equal sides and angles.

From the given diagram;

<YZQ + 90 + 25 = 180

<YZQ =180 -115

<YZQ = 65degrees

Determine the measure of <YXP

<YXP = 60 - 25 (XYZ is a 60degrees triangle)

<YXP = 35 degrees

Hence the measure of <YXP and <YZQ are 35 and 65 degrees respectively

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The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

To solve this problem, we can use vector addition to find the final displacement of Jane.

Step 1: Determine the components of each displacement.

The southwest direction can be represented as (-5.0 miles, -45°) since it is in the opposite direction of the positive x-axis (west) and the positive y-axis (north) by 45 degrees.

The direction 70 degrees north of the west can be represented as (8.0 miles, -70°) since it is 70 degrees north of the west direction.

Step 2: Convert the displacement vectors to their Cartesian coordinate form.

Using trigonometry, we can find the x-component and y-component of each displacement vector:

For the southwest direction:

x-component = -5.0 miles * cos(-45°) = -3.536 miles

y-component = -5.0 miles * sin(-45°) = -3.536 miles

For the direction 70 degrees north of west:

x-component = 8.0 miles * cos(-70°) = 3.34 miles

y-component = 8.0 miles * sin(-70°) = -7.72 miles

Step 3: Add the components of the displacement vectors.

To find the total displacement, we add the x-components and the y-components:

x-component of total displacement = (-3.536 miles) + (3.34 miles) = -0.196 miles

y-component of total displacement = (-3.536 miles) + (-7.72 miles) = -11.256 miles

Step 4: Find the magnitude and direction of the total displacement.

Using the Pythagorean theorem, we can find the magnitude of the total displacement:

\(magnitude = \sqrt{(-0.196 miles)^2 + (-11.256 miles)^2} = 11.281 miles\)

To find the direction, we use trigonometry:

direction = atan2(y-component, x-component)

direction = atan2(-11.256 miles, -0.196 miles) ≈ -88.8°

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

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Answer:

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010. There are 11 integers that are factors of 2020. The biggest factor of 2020 is 1010.

There are 10, 20, 202, 404, 505, and 1010  factors of 2020 have more than 3 factors.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

Also Prime factorization is when all those factors are prime numbers.

Thus, this factorization expresses an integer in terms of multiples of prime numbers.

Factors of 2020 are;

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

There are 11 integers that are factors of 2020.

We can see that the biggest factor of 2020 is 1010.

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Answer: The comparison "3.4 < 3.36" is reasonable because 3.36 is greater than 3.4.

The decimal point separates the whole number part of a number from the fractional part. In this case, 3.36 has a greater whole number part (3) than 3.4, and both have the same decimal part (0.36). So, 3.36 is greater than 3.4.

Therefore, the statement "3.4 < 3.36" is a true and reasonable comparison.

Step-by-step explanation: