If we let x denote the length of the morning walk, Ahmed walks x + 2.5x or 3.5x miles each day. At the end of the week he has walked 7 times as far and he said that this was 30 miles.
Solve the equation to find out the distance of Ahmed’s morning walk x. Explain your reasoning and verify your answer.

and replace the values from the statements

the value of y is 8

Answer:

-3x - 6

Step-by-step explanation:

x - (4x + 6) becomes x - 4x - 6 after we've distributed the multiplication.

We can simplify this result as follows:  -3x - 6

9514 1404 393

Answer:

  14.2 years

Step-by-step explanation:

The value is described by the exponential function ...

  y = (initial value)·(decay factor)^x

where y is the value after x years.

The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...

  6000 = 23900·0.9075^x

  6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900

  log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms

  x = log(6000/23900)/log(0.9075) ≈ 14.2396

It will be about 14.2 years until the value of the car is $6000.

Answer:

14.2

Step-by-step explanation:

Answer:

1.75 inches deep into the post

Step-by-step explanation:

First, you do 2.5 - 0.75 which is 1.75 in

The answer is 1.75 in

Hope this helps!

The value of (xΔx)/(1Δ*x) or (x*Delta*x)/(1Delta*x) is (x³ - 1)/(x³ - x).

To find this value, we first need to apply operation A to the expressions xΔx and 1Δ*x:

xΔx = x² * x - 1 = x³ - 1

1Δ*x = 1² * x - 1 = x - 1

Substituting these values in the expression (xΔx)/(1Δ*x), we get:

(x³ - 1)/(x - 1)

We can simplify this expression by multiplying the numerator and denominator by (x² + x + 1), which is the factorization of x³ + 1:

(x³ - 1)/(x - 1) = [(x - 1)(x² + x + 1)]/(x - 1) = x² + x + 1. Factorization is the process of finding two or more numbers or expressions whose product is equal to the original number or expression.

Therefore, the value of (xΔx)/(1Δ*x) is x² + x + 1.

Learn more about factorization

https://brainly.com/question/18187355

#SPJ4

Complete Question:

If the operation A be defined as x*Δ*y = x² * y - 1 then find  (xΔx)/(1Δ*x).

The unit cost of pears is $1.50 per pound.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost for 1/3 lb of pears = $0.50

Since, 1 lb = 1 pound

Implies that,

Cost of 1/3 pounds of pears = $0.50

To find the cost of one pound of pears,

Use ratio property,

1/3 pound costs = 0.50

1 pound costs = 0.50 x 3 = $1.50

The cost of one pound of pear is $1,.50.

To know more about Ratio on:

https://brainly.com/question/23724140

#SPJ1

Answer:

no daigram

Step-by-step explanation:

crown me pls need 3 more

Answer:

E. n=4

Step-by-step explanation:

"compounded quarterly" meaning 4.

Option E is correct. The amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4

In order to get the amount compounded quarterly, we will use the compounded interest formula as shown:

A = P(1+r/n)^nt where:

A is the amount after 5 years = $6000

r is the rate (in %) = 6% = 0.06

n is the compounding time =  1/4 (quarterly)

t is the time taken (in years) = 5 years

Required

Amount invested quarterly.

First, we need to get the amount initially invested

Substitute the given values into the formula;

6000 = P(1+0.06(4))^{5/4)}

6000 = P(1+0.24)^1.25

6000 = P (1.24)^1.25

6000 = 1.3085P

P = 6000/1.3085

P = $4,585.40

The amount initially deposited will be $4,585.40

The amount deposited quarterly = P/n where n = 4

Amount deposited quarterly = $4,585.40/4

Amount deposited quarterly = $1,146.35

Therefore the amount Mayra deposited into the account quarterly is $1,146.35 where the value of n is 4.

Learn more here: https://brainly.com/question/18456266

The main answer to your question is that the shortest possible length of the ladder is approximately 71 feet when rounded to the nearest whole number.


To find the length of the ladder, we can use trigonometry and the fact that the ladder forms a right triangle with the ground and the wall. Let x be the length of the ladder.

We know that the angle between the ladder and the ground is 75 degrees. This means that the angle between the ladder and the wall (the complementary angle) is 15 degrees.

Using trigonometry, we can set up the following equation:

tan 15 = opposite/adjacent

tan 15 = 23/x

Multiplying both sides by x gives:

x * tan 15 = 23

Dividing both sides by tan 15 gives:

x = 23 / tan 15

Using a calculator, we can find that tan 15 is approximately 0.268.

So,

x = 23 / 0.268

x is approximately equal to 85.82.

Rounding to the nearest whole number gives us a length of approximately 71 feet. Therefore, the shortest possible length of the ladder is approximately 71 feet.

To know more about trigonometry , Visit;

https://brainly.com/question/31896723

#SPJ11

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)   ← Pythagorean Theorem

To find x:

\(6^{2}\) + \(8^{2}\) = \(c^{2}\)

100 = \(c^{2}\)

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

\(a^{2}\) + \(10^{2}\) = \(15^{2}\)

\(a^{2}\)  + 100 = 225

\(a^{2}\) = 125

a = \(\sqrt{125}\)

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

Answer:

y = 0.6028x+103.34929

*y=mx+b*

Answer:

A. 30 degrees

Explanation:

There are four types of transformations and there are reflection, rotation, dilation, and translation.

Reflection, rotation, and translation are rigid transformations, that is, the preimage and image do not change in size or shape. It also means that the preimage and image will be congruent.

So if triangle BCD is rotated 80 degrees clockwise about the origin to form triangle KLM, and m

Answer:

240 citizens

Step-by-step explanation:

\(\frac{3}{5}\) * 400 = 240

At the end of the first year, Shota will have earned amount  \$400.00$400.00dollar sign, 400.00 in interest.

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).

At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.

At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer: its D

Step-by-step explanation:

plz make me brainlest

The value of f(0) is '-1'.

Let's see the step-by-step solution:

Step 1:

For f = -x -1

substitute the x with 0

So, f(0) = -0-1

Step 2:

Simplifying it: -0-1: -1

Thus, the value of f(0)= -1

Answer:

2 4/9

Step-by-step explanation:

1.)  10/9-(-1 1/3)

2.) 10/9+ 1 1/3

3.) 3x1+1=4/3

4.)10/9+4/3

5.)(10×3)+(4×9)

6.)30+36

7.)66/27

8.) 2 4/9

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Answer:

30

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

300

Step-by-step explanation:

It's gonna cost 300 dollars because you first find how many miles you can get for a gallon and that is 20 miles so you do 1500 miles divided by 20 miles which equals 75 then you do 75 times 4 which equals 300!

Please Mark Brainliest

A member of the family of functions that satisfies the initial value problem is y = 3x.

To determine a member of the given family of functions as a solution to the initial value problem of the differential equation, we must proceed as follows:

Substitute the member of the family of functions given by y = c₁x + c₂xlnx in the differential equation.

Then, we will get a second-order linear differential equation of the form y'' + Py' + Qy = 0.

The given differential equation is: xy'' - xy' + y = 0As y = c₁x + c₂xlnx, then y' = c₁ + c₂(1 + ln x) and y'' = c₂/x

First, we need to substitute the values of y, y' and y'' in the differential equation to obtain:

x(c₂/x) - x[c₁ + c₂(1 + ln x)] + c₁x + c₂xln x = 0

Simplifying this, we get: c₂ln x = 0 or c₁ - c₂ - (1 + ln x)c₂ = 0Thus, either c₂ = 0 or c₁ - c₂ - (1 + ln x)c₂ = 0.

We know that c₂ cannot be zero since it will imply y = c₁x, which does not include ln x term. Hence, we set c₂lnx = 0.

Therefore, we can set c₂ = 0 and get y = c₁x as a solution.

However, the solution must pass through the given initial values: y(1) = 3, y'(1) = -1.Now, we substitute x = 1 in y = c₁x to get y(1) = c₁. Hence, c₁ = 3.

Therefore, a member of the family of functions that satisfies the initial value problem is y = 3x.Hence, the answer is: y = 3x.

Learn more about differential equation:

https://brainly.com/question/32621138

#SPJ11

The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

More information about the data compression algorithm here:

https://brainly.com/question/30508196

#SPJ11

Answer:

Here ANSWER

X+2x+5x = 56. Divide 56 by 8 to get 7 = x. First=7. Second=14, third=35

Step-by-step explanation:

To prove that Q R S T is a square, we can use the properties of a parallelogram and the given information.

1. Given: Q R S T is a parallelogram.
2. TR ⊕ QS (Given)
3. m ∠ QPR = 90 (Given)

To prove that Q R S T is a square, we need to show that all four angles are right angles and that all sides are congruent.

Proof:

Step 1: Since Q R S T is a parallelogram, the opposite sides are parallel and congruent. Therefore, QR ≅ ST and RS ≅ QT.

Step 2: We are given that TR ⊕ QS. This means that the opposite sides TR and QS are also parallel.

Step 3: By the definition of a parallelogram, we know that opposite angles are congruent. Therefore, ∠QRT ≅ ∠SQT and ∠RTQ ≅ ∠QST.

Step 4: Since TR and QS are parallel, the alternate interior angles ∠QRT and ∠QST are congruent. This implies that ∠QRT ≅ ∠QST.

Step 5: We are given that m ∠QPR = 90. Since ∠QRT and ∠RTQ are congruent, we can conclude that ∠QRT ≅ ∠RTQ ≅ ∠QPR. Therefore, ∠QRT is also a right angle.

Step 6: From steps 3 and 5, we know that ∠QRT and ∠QST are right angles. Thus, all four angles of Q R S T are right angles.

Step 7: From steps 1 and 2, we know that all four sides of Q R S T are congruent (QR ≅ ST and RS ≅ QT).

Therefore, based on the above steps, we can conclude that Q R S T is a square.

To know more about square refer here:

https://brainly.com/question/28776767

#SPJ11

Answer:

1, 2, 3, 4, and 5.

Step-by-step explanation:

7x1=7<42

7x2=14<42

7x3=21<42

7x4=28<42

7x5=35<42