Which graph represents the function f(x) = [X]– 4?

Answer:

On his 59th week he will have $160.00

Step-by-step explanation:

Well if you Connor gets 2.00 per week then he'll get 2 dollars added each time. So based on this He currently has $42. So this is what we get: 59 x 2 = 118. Plus the $42 he has. So, 118 + 42 = 160. Hope this helps!

Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.

The inequality that represent the number of movies is: x + y ≤ 8

Where:

x represent drama at the movie theater

y represnt comedies at the movie theater

≤ represent less than

8=Number of times

Therefore the inequality is: x + y ≤ 8.

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Answer:

c on edge

Step-by-step explanation:

because i took the test and got a 100

QR has a length of 2√3. According to the given question

HOW TO CALCULATE THE SIDE OF THE SQUARE ?

In order to solve for QR, we need to use the information given to us in the problem and apply some basic geometry concepts.

First, we know that the diagonals of a square are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other in half. This tells us that the length of the diagonal is equal to the square root of two times the length of one of the sides of the square, or d = s√2.

Next, we are given that the midpoint of one of the diagonals is point U, and that US has a length of 3. Because U is the midpoint of the diagonal, we know that SU and UR are equal in length. Let's call this length x.

Now we can use the Pythagorean theorem to solve for x:

(US)²+ (UR)² = (SR)²

3²+  x= (s√2)²

9 + x² = 2s²

We also know that SU and UR are each equal to x, so:

2x² = s²

We can substitute 2x² for s² in the previous equation:

9 + x² = 2(2x²)

9 + x²= 4x²

3x² = 9

x² = 3

x = √3

Now we can use x to solve for the length of QR:

QR = 2x = 2√3

Therefore, QR has a length of 2√3.

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Answer: 16 boxes

Step-by-step explanation:

Answer:

The given equation for the path of the football is f(x) = -2(x-3)^2 + 56.

This is a quadratic function in the form f(x) = a(x-h)^2 + k, where a, h, and k are constants.

Comparing this equation to the standard form, we can see that a = -2, h = 3, and k = 56.

Since the coefficient of the squared term is negative, the graph of this quadratic function is a downward-facing parabola.

The maximum height reached by the football occurs at the vertex of the parabola.

The x-coordinate of the vertex is given by x = h = 3.

The y-coordinate of the vertex is given by f(h) = k = 56.

Therefore, the maximum height reached by the football is 56 feet.

Step-by-step explanation:

Answer:

Maximum height = 56 feet

Step-by-step explanation:

The equation is in the vertex form of the quadratic equation, whose general form is:

y = a(x - h)^2 + k, where

Thus, in the equation f(x) = -2(x -3)^2 + 56, (3, 56) is the equation of the vertex (in this case the maximum) and since f(x) represents the height in feet, the max height reached by the football is 56 feet.

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

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Answer:

The angle is approximately 111.199 degrees.

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

The hypotenuse is the longest side of the triangle.  

In this cos the hypoteneuse is a. However, we can only use cos on right triangles and on the angles that are not 90 degrees. In this case, p would be the 90 degree angle if we could use cosine.

In this case, you need the law of cosines, not cosine. The law of cosine says \(c=\sqrt{a^2+b^2-2 a b cosp}\) where c is the side opposite to the angle, a and b are the sides adjacent to the angle, and p is the angle. The law of cosine works for all the triangles.

Plugging in the numbers:

\(5.3=\sqrt{3.6^2+2.8^2-2*3.6*2.8* cosp}\\5.3^2=20.8-20.16* cosp}\\7.29=-20.16*cosp\\cos^{-1}\frac{7.29}{ -20.16}=p\\p=111.198929\)

We cannot definitively say which of them is more likely to be accepted based solely on their exam scores. We can use z-scores to compare the performance of Kyle and Ryan.

For Kyle:

z-score = (x - mean) / standard deviation = (489 - 400) / 67 = 1.33

For Ryan:

z-score = (x - mean) / standard deviation = (39 - 35) / 2 = 2

Comparing the z-scores, we see that Ryan performed better relative to his peers than Kyle did. This is because Ryan's z-score of 2 is larger than Kyle's z-score of 1.33.

However, it's important to note that acceptance into a university is based on multiple factors, not just exam scores. Therefore, we cannot definitively say which of them is more likely to be accepted based solely on their exam scores.

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Step-by-step explanation:

lets take the first number as x

if the second digit is 6 more than the first, we should take it as x+6

if they add up to 12,then:

x+x+6 = 12

2x = 12 -6

2x = 6

x = 6/2=3

if the 1st digit is 3, then the 2nd will be 6+3=9

so the 2 digit number is 39

If you are told that a 20 kilogram object is raised by 10 meters, you know that (b) the mass of the object is 20 kilograms.

The force of gravity, also known as gravitational force, is the force that attracts two objects with mass towards each other.

AS we all know that Mass refers to the amount of matter an object contains, and is measured in kilograms. Weight, on the other hand, refers to the force of gravity on an object, and is measured in newtons.

Now, let's look at the options provided.

Option b states that the mass of the object is 20 kilograms, which is correct. This means that the object contains 20 kilograms of matter, regardless of its location or gravitational force acting on it.

In conclusion, we can determine from the given information that the mass of the object is 20 kilograms. However, we cannot determine the force of gravity acting on the object without additional information.

To calculate the force of gravity on an object, we can use the formula

Fg = mg,

where Fg is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity (approximately 9.81 m/s² on Earth).

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Use an additive or reduction formula to determine an expression as a fractional derivative of one number, which is provided as -1/2.

Now, According to the question:

What do trigonometry's fundamentals entail?

The three basic trigonometric operations are sine, cosine, and tangent. Cotangent, radial basis, and cotangent functions are all built on these three fundamental functions. All trigonometry concepts are built on top of these functions. The learning of trigonometry is not really easy until pupils are familiarized with all the terms and formulae. As a result, it is suggested that students learn each of these and practice responding to test questions from prior years.

The expression is given as:

cos(13/15)cos(-/5)-sin(13/15)sin(-/5)

This has the format of a trigonometry identity -

Cos (A+B) = Cos A Cos B - Sin A Sin B

Then = Cos ( 13π/15 + (-π/5) )

= Cos( 10π/15)

= Cos( 2π/3)

= Cos(120°)

= cos (90° + 30°)

=  -sin 30°

= -1/2

Hence, Cos(13/15)Cos(-/5)-Sin(13/15)Sin(-/5) = -1/2

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Answer:

28.26cm²

Step-by-step explanation:

Formula for area of circle is πr²

So π is also 3. 14

Which means 3.14(3²) and you will get 28.26cm²

Answer:

6:5

Step-by-step explanation:

It's 6:5 trust homie

a. the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

a. The current IRR (Internal Rate of Return) on this project can be found by using linear interpolation with x₁ = 7% and x₂ = 8%. Let's calculate it:

We have the following cash flows: Year 0: -150,000 Year 1: 60,000 Year 2: 75,000 Year 3: 90,000 Year 4: 105,000

Using x₁ = 7%: NPV₁ = -150,000 + 60,000/(1+0.07) + 75,000/(1+0.07)² + 90,000/(1+0.07)³ + 105,000/(1+0.07)⁴ ≈ 2,460.03

Using x₂ = 8%: NPV₂ = -150,000 + 60,000/(1+0.08) + 75,000/(1+0.08)² + 90,000/(1+0.08)³ + 105,000/(1+0.08)⁴ ≈ -8,423.86

Now we can use linear interpolation to find the IRR:

IRR = x₁ + ((x₂ - x₁) * NPV₁) / (NPV₁ - NPV₂) = 7% + ((8% - 7%) * 2,460.03) / (2,460.03 - (-8,423.86)) ≈ 7.49%

Therefore, the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

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The  transformations that is possible in a linear function is: g(x) = (x - 3)².

if the function of the g (x) is known to be the original function, then one can say that:

g(x) = (x - 3)²

= g(x) = x²

This is one that is shifted by 3 unit to the right because in the above, one need to substitute x for x - 3.

Hence , it functional graph can be said to be a parabola with a vertices that is known to be opening at (3,0)

Therefore, based on the above, the example of the transformations that is possible in a linear function is: g(x) = (x - 3)².

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The value x in the equation h(x) = 4x-4 is, x =1

Polynomial functions are functions of a single independent variable.

To solve for x

Since h(x) =0

substitute h(x) into equation  

h(x) = 4x - 4

0=4x - 4

Add 4 to both sides

4x = 4

Divide both side by 4

4x/4 = 4/4

x = 1

therefore, the value of X= 1

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Answer:

-6, -2

Step-by-step explanation:

look at the arrows

The base of the window is 9 1/2 feet.

An equation to find the length of the base of the triangle is 34 = 17b/4.

The length of the base of the triangle is 8 inches.

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

Area of a parallelogram = b × h

Where:

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

26 3/5 = b × 2 4/5

133/5 = 14b/5

70b = 665

b = 665/70

b = 9 1/2 feet.

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

Area of a triangle = 1/2 × b × h

Where:

34 = 1/2 × b × 17/2

34 = 17b/4

b = 8 inches.

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You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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The angular frequency (ω) of the pendulum can be calculated as:

ω = √(9.031746 / L) radians per second.

Given:

Length of the rod (L): L meters = L

Mass of the bob (m): 2.5 kg

Total mass of the pendulum (M): 0.4 kg + 2.5 kg = 2.9 kg

Acceleration due to gravity (g): 9.8 \(m/s^2\)

First, let's calculate the effective length (Leff):

Leff = L + (m / M) * (L/2)

    = L + (2.5 kg / 2.9 kg) * (L/2)

    = L + (5/29) * (L/2)

    = L + (5L / 58)

    = (58L + 5L) / 58

    = 63L / 58

Now, let's calculate the angular frequency (ω):

ω = √(g / Leff)

  = √(9.8 \(m/s^2\) / (63L / 58))

  = √((9.8 * 58) / (63L))

  = √(568.4 / (63L))

  = √(9.031746 / L)

Therefore, the angular frequency of the pendulum with the given values is √(9.031746 / L) radians per second.

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The smallest sample observation that can increase 8.1 without changing the sample median's value is 4.4.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. Simply expressed, the sample median is the middle value after sorting the observations in ascending order if the sample size is odd. The sample median is the average of the two middle values if the sample size is equal. The data set's median value is the value that falls in the middle, ordered by magnitude. The sample median is the average of the two middle terms when the number of samples in the data set is even. When the data set is symmetrically distributed, the sample mean serves as a reliable indicator of the central tendency.

The median can be calculated as (12.5+12.6)/2=12.55.

The incremented least observed value is 12.5-8.1=4.4, and the difference is that.

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Answer:

Step-by-step explanation:

In the equation ax + b = 0, the value of x is not fixed and can vary based on the values of a and b. The purpose of this equation is to find the value of x that satisfies the equation, given the values of a and b.

For example, if a = 3 and b = -6, then the equation becomes 3x - 6 = 0. Solving for x, we get x = 2. Thus, 2 is the value of x that satisfies the equation.

The reason 0 is often used as an answer to this equation is because it represents a special case where b = 0. In this case, the equation becomes ax = 0, and the only solution is x = 0. However, in general, the value of x can be any real number that satisfies the equation.

Answer:

x = 28/5

Step-by-step explanation:

We can use proportions to solve

5x          7

------ = ---------

8            2

Using cross products

5x*2 = 7 * 8

10x = 56

Divide by 10

10x/10 = 56/10

x = 28/5

Answer:

x=5.6

Step-by-step explanation:

5x : 8 = 7 : 2

5x × 2 = 8 × 7

5x=\(\frac{56}{2}\)

5x = 28

X = 5.6

The Empirical Rule given helps in determining Let x = the time it takes an NFL running back to run the 40-yard dash and that P(x < 4.23) is =95%.

In Football, every play is made from both yardage benefit or yardage loss that is a calculation of a poor or advantageous number. With every byskip or run that the offense attempts, you need to upload the yardage that they made collectively to apprehend wherein they've superior to at the field.

Here we have that,

NFL= 40 yard run

x = the time it takes an NFL running back

\(mu=4.59 \\sigma= 0.12\)

Using Empirical rule,

\((A)P(X)P(4.35 < x > = P( -2 < Z > = P\\\\(Zthe usage of empirical rule=95%/2 + 95%/2=47.5%+47.5%=95 %\)\

Thus the P(x < 4.23) = 95%.

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Answer:

76

Step-by-step explanation:

so the sequence(pattern) is it increases by 5

there are 2 ways to solve this promblem

one count on your toes and hands by 5 starting at one until u get to 10 fingers and 5 toes. soon the promblems will get harder and you cant do that

other way multiply 5 by 15 and add it to 1

t( 15 ) = t( 1 ) + [ 14 × ( Constant value ) ]

________________________________

t( 1 ) = 1

&

Constant value = t( 2 ) - t( 1 ) = t( 3 ) - t( 2 )

Constant value = 6 - 1

Constant value = 5

________________________________

Thus :

t ( 15 ) = 1 + [ 14 × 5 ]

t( 15 ) = 1 + 70

t( 15 ) = 71

Answer:

the answer is ieff = 2% - 3.24%

ieff = - 1.24% = -0.0124

Therefore the money left after 1 year would be:

F = 44,000 * (1 – 0.0124)

F = 43,454.4

So the amount of money lost is:

lost = 44,000 - 43,454.4

lost = $545.6

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Step-by-step explanation:

Answer:

Step-by-step explanation:

1: 500,000 cm

500,000cm can also be written as 5000m or 5 km

So it becomes 1:5km

the 1 represents 1cm on the map so every centimeter in the map is 5 kilometers in real life

If we want to get what 7 cm would be in kilometers then we have to multiply both sides by 7.

So it would be 1 x 7 and 5x 7

it would end up being 7 : 35 km

The answer is: 35km