A class is playing a game called “Guess my Number,” in which the number is an integer. The teacher gives these clues for the unknown number.

4 + h ≤ 7 and h + 1 > 3

What is the value of the unknown number, h?

Answer:

5h=25

/5    /5

1h= 5

h=5

(hope this helped)

Answer:

See below

Step-by-step explanation:

Cost of movie => x

Cost of video game => y

5x + 3y = 24

2x + 12y = 69 or 34.5-6y = x

Substitute

5x + 3y = 24

5(34.5-6y) + 3y = 24

172.5 - 30y + 3y = 24

-27y = -148.5

y = 5.5

34.5-6y = x

34.5-6(5.5) = x

x = 1.5

Answer:

alright, lets say danetta's dinner bill is 20 dollars, and she ordered 4 things, so the equation would be x times 5=20, and edwards would be 25 dollars, so that equation would be x times 5=25

Step-by-step explanation:

A kilometer is a metric unit of measurement equal to 1,000 meters 

After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

A. -1/5

B. 8 gallons

C. 75 miles driven

Step-by-step explanation:

Part A is essentially just asking for the slope, which is written as a fraction with the numerator being the number of units the line goes up/down and the denominator being the number of units the line goes left/right. Because the line is going down from left to right, the slope is negative. The slope is -1/5.

Part B can be answered by simply looking at the graph and seeing where the line is at above 175 miles, which is 8 gallons.

Part C can be answered in the same way as Part B, by looking at where the line is at when level with 12 gallons, which is 75 miles driven.

Answer:

Step-by-step explanation

GIVEN,

COST OF GREEN BRACELETS SOLD - 5$--G

COST OF RED BRACELETS SOLD - 3$--R

SO THE ANSWEAR IS 5G+3R

The value of the system in which newton's law of motion is applicable is (a) 25 (b) 10 (c) if output is x , 4y -x-15 =0

What about newton's law of motion?

Newton's laws of motion are three fundamental laws in classical physics that describe the behavior of objects in motion. They were first presented by Sir Isaac Newton in his work "Philosophiee Naturalis Principia Mathematica" in 1687. The three laws are:

According to the given information:

a) When input is 10.

   output= 10×4 - 15 =25

b) From the question output is 25

  Because input* 4 -15= output. So (output +15) / 4= input

  so input =\((25+15)/4\) =10

c) if output is x. So y × 4 - 1 5 = x , 4y - x - 15 = 0

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The value of the system in which newton's law of motion is applicable is (a) 25 (b) 10 (c) if output is x , 4y -x-15 =0

What about newton's law of motion?

Newton's laws of motion are three fundamental laws in classical physics that describe the behavior of objects in motion. They were first presented by Sir Isaac Newton in his work "Philosophiee Naturalis Principal Mathematical" in 1687. The three laws are:

The Law of Inertia: An object at rest will remain at rest, and an object in motion will continue in a straight line with constant velocity, unless acted upon by an external force.

The Law of Acceleration: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, F = ma, where F is the net force, m is the mass of the object, and a is the acceleration.

The Law of Action-Reaction: For every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object exerts an equal and opposite force back on the first object.

According to the given information:

a) When input is 10.

  output= 10×4 - 15 =25

b) From the question output is 25

 Because input* 4 -15= output. So (output +15) / 4= input

 so input = =10

c) if output is x. So y × 4 - 1 5 = x , 4y - x - 15 = 0

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The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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A right triangle is a triangle with a right angle. The opposite side to the right angle is called the hypotenuse and the other sides are the legs. Given an angle in a right triangle, the ratio between the leg adjacent to the angle and the hypotenuse is equal to the cosine of the angle.

Using this relation in our problem, we have the following:

Solving this expression for q, we have:

And this is our answer.

B has two pre-images of -7 so it is not a function

B. (-7, 3), (1, 2), (5, 3), (-7, 2)

Since  

x = − 7  produces  y = 3  and  y = 2

So the relation is not a function.

The probability of no ice-squids raining down from the sky in the ten-year period is approximately 0.135.

To calculate the probability, we need to use the Poisson distribution since the occurrence of ice-squids follows a random process with an average rate. The average rate of ice-squids raining down from the sky is 1 per 2 years.

The Poisson distribution is given by the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where P(x; λ) is the probability of x events occurring in a given time period with an average rate of λ.

In this case, we want to calculate the probability of no ice-squids raining down in a ten-year period. We can convert the average rate from years to the ten-year period by multiplying it by 10. So, λ = 1/2 * 10 = 5.

Substituting λ = 5 and x = 0 into the Poisson distribution formula, we get:

P(0; 5) = (e^(-5) * 5^0) / 0!

Since 0! is equal to 1, the formula simplifies to:

P(0; 5) = e^(-5) ≈ 0.00674.

Therefore, the probability of no ice-squids raining down in the ten-year period is approximately 0.00674 or 0.135 when expressed as a percentage.

In other words, there is a 13.5% chance that no ice-squids will rain down from the sky in the ten-year period starting in 2024 in the alternate universe of San Diego.

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Answer:

The 2nd one is the answer

Step-by-step explanation:

because All rational numbers are integers

Answer:

i think its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for calculating the time it will take for an investment to reach a certain amount given a rate of return and regular withdrawals is:

Time = (ln(Final Balance/Initial Balance))/(ln(1 + Rate of Return))

In this case, the Initial Balance is $100,000, the Final Balance is $0, and the Rate of Return is 2.66%.

Time = (ln(0/100000))/(ln(1 + 0.0266))

Time = (-11.51)/(0.026101)

Time = -440.17

Since the time is given in years, we need to round the answer to the nearest year.

Answer: It will take 440 years for the account to have a balance of $0.

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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The architect can successfully position the central office at the intersection of each hallway connected to the three entrances, providing efficient access and supervision for staff members.

To position the central office at the intersection of each hallway connected to the three entrances to the school, the architect should consider the following steps:

1. Identify the three entrances to the school: Determine the locations where students and staff will enter the building. These entrances should be strategically placed to ensure easy access from various parts of the campus.

2. Determine the layout of the hallways: Analyze the floor plan and identify the main hallways that connect to each entrance. It is essential to consider the flow of traffic and ensure that the hallways provide efficient access to different areas of the school.

3. Locate the intersection point: Once the entrances and hallways are established, the architect should identify the point where all three hallways intersect. This point should be centrally positioned to ensure equal access from each entrance.

4. Place the central office at the intersection: Position the central office at the identified intersection point. This will allow the staff to have a central location from which they can easily monitor and access each hallway connected to the entrances.

By following these steps, the architect can successfully position the central office at the intersection of each hallway connected to the three entrances, providing efficient access and supervision for staff members.

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Answer:

The radius of the circle is about 5

Step-by-step explanation:

The formula for the radius of the circle with a area is:

- R= the square root of the area divide by pi ( π)

or - R= the square root of A/ π

Plug in 78.5 into the formula

then you get the radius which is 5.

(you might need a calculator for this)

The linear approximation error when using the linear approximation to estimate the cube root of 8.25 is 0.0593.

When we want to find the linear approximation error, we can use the formula

Error = f(x) - L(x),

Where `f(x)` is the actual value of the function at `x`, and `L(x)` is the linear approximation of the function at `x`.

The linear approximation of a function f(x) near x=a is given by:

L(x) = f(a) + f'(a)(x-a)

In this case, we want to find the linear approximation of the function f(x) = cube root of x near x=8. To do so, we first need to find the value of f(8) and f'(8).

f(8) = cube root of 8 ⇒ 2

To find f'(8), we take the derivative of f(x) with respect to x:

f(x) = x^(1/3)

f'(x) = (1/3)x^(-2/3)

So, f'(8) = (1/3)(8)^(-2/3) ⇒ 1/12

Therefore, the linear approximation of f(x) near x=8 is:

L(x) = 2 + (1/12)(x-8)

Now, we want to use this linear approximation to estimate the value of the cube root of 8.25. To do so, we substitute x=8.25 into the linear approximation:

L(8.25) = 2 + (1/12)(8.25-8) ⇒ 2.0208

The actual value of the cube root of 8.25 is:

∛8.25 ⇒ 2.0801

So, the error in the linear approximation is:

2.0801 - 2.0208 ⇒ 0.0593

Therefore, the linear approximation error when using the linear approximation to estimate a cube root of 8.25 is approximately 0.0593.

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On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Step-by-step explanation:

To multiply integers with different signs:

Multiply the absolute values of the integers.

The product is negative if the signs of the integers are different.

The product is positive if the signs of the integers are the same.

Example: (-3) x 4 = -12

The absolute values of -3 and 4 are 3 and 4.

Multiply 3 and 4 to get 12.

The signs of -3 and 4 are different (one negative and one positive).

Therefore, the product is negative (-12).

When time = 4, the projectile will be at 256. The maximum height of the projectile is 256 feet as a result.

A polynomial is a complex formula that only uses sums, subtractions, algebraic expressions, but instead ones of positive integer values. It is formed of coefficients and probability. There is just one uncertain x polynomial identified more by formula x2 4x Plus 7. In mathematics, a parabola is a mathematical formula made up of values (also called indeterminates) and equations that can be added, divided, multiplied, and multiplied to negative number powers of quasi. A polynomial is a statement in mathematics with elements and coefficients. The only processes that can be included in an expression are addition, negation, multiplying, and ou pas integer exponents. These formulas are called as polynomials.

given

Plug in h(t) = 112, transform into quadratic form, and calculate the following equation to determine how long the rocket will take to travel 112 feet:

112 = -16t2 + 128t

0 = -16t2 + 128t - 112

0 = -16(t2 - 8t + 7)

0 = t2 - 8t + 7

0 = (t - 7)(t - 1) (t - 1)

0 = t - 7 OR 0 = t - 1

7 = t OR 1 = t

Accordingly, at t = 7 and t = 1, the projectile will be at height = h(t) = 112 at t = 1. In other words, after one second and after seven seconds, the rocket will be 112 feet above the earth.

Plug in t = 4 and solve for h(4) to determine the rocket's maximum height:

h(4) = -16(4)2 + 128(4) (4)

h(4) = -16(16) + 512

h(4) = -256 + 512

h(4) = 256

When time = 4, the projectile will be at 256. The maximum height of the projectile is 256 feet as a result.

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Answer:

$72

Step-by-step explanation:

Let t = Tires

Let O = Oil change

Given the following data;

Oil change, O = $47

Translating the word problem into an algebraic equation, we have;

4t + O = $335

Rearranging the equation, we have;

\( 4t = 335 - O\)

Substituting the value of O;

\( 4t = 335 - 47\)

\( 4t = 288\)

\( t = \frac {288}{4}\)

t = 72

Therefore, the cost of each tire is $72.

The scalar triple product, which involves concepts from geometry and matrix operations. The result you get is the scalar triple product A * (B x C). Lets see how.

a) The geometry of the scalar triple product A * (B x C) represents the volume of a parallelepiped formed by the vectors A, B, and C. It's a scalar quantity (a single number) that can be either positive, negative, or zero. If the scalar triple product is positive, the vectors form a right-handed coordinate system, whereas if it's negative, they form a left-handed coordinate system. If the scalar triple product is zero, it means the three vectors are coplanar (lying in the same plane).
b) To solve the scalar triple product using matrix operations, you can use the determinant of a 3x3 matrix. Create a matrix with A, B, and C as the rows, and then find the determinant. Here's a step-by-step guide:
Step:1. Arrange the vectors A, B, and C as rows of a 3x3 matrix:
| a1  a2  a3 |
| b1  b2  b3 |
| c1  c2  c3 |
Step:2. Calculate the determinant of the matrix using the following formula:
Determinant = a1(b2*c3 - b3*c2) - a2(b1*c3 - b3*c1) + a3(b1*c2 - b2*c1)
Step:3. The result you get is the scalar triple product A * (B x C).

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Answer:

7.18

Step-by-step explanation:

The entire answer is 7.17808219, but I rounded it to the nearest hundreth.

Answer:

I'm assuming it's like this : 5*2/25 which will be 0.4, which is 40%

Answer:

70 TIMES 10 IS (700), THATS YOUR ANSWER!

Step-by-step explanation: