can someone fr help me with this like right now i’ll appreciate it sm

Answer:

x ≥ 4

good luck on the test bro :)

The velocity of the top of the ladder is 20.62 feet per second.

We can use the Pythagorean theorem to relate the distance between the wall and the base of the ladder to the height of the ladder. Let h be the height of the ladder, then we have:

h² + 7² = 25²

h² = 576

h = 24 feet

We can then use the chain rule to find the velocity of the top of the ladder. Let v be the velocity of the base of the ladder, then we have:

h² + (dx/dt)² = 25²

2h (dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Simplifying and plugging in h = 24 and dx/dt = -2, we get:

(24)(dh/dt) - 2(d²x/dt²) = 0

Solving for (d²x/dt²), we get:

(d²x/dt²) = (12)(dh/dt)

We can find (dh/dt) using the Pythagorean theorem and the fact that the ladder is sliding down the wall at a rate of 2 feet per second:

h² + (dx/dt)² = 25²

2h(dh/dt) + 2(dx/dt)(d²x/dt²) = 0

Substituting h = 24, dx/dt = -2, and solving for (dh/dt), we get:

(dh/dt) = -15/8

Finally, we can find (d²x/dt²) by plugging in (dh/dt) and solving:

(d²x/dt²) = (12)(dh/dt) = (12)(-15/8) = -45/2

Therefore, the velocity of the top of the ladder is 20.62 feet per second.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

g (x) = −7 x 2 + 26 x + 8

Step-by-step explanation:

Answer: 14

Step-by-step explanation: Pokémon cards are different than baseball cards and are two different things.

Answer:

Step-by-step explanation:

\(\frac{sin 82}{28} =\frac{sin A}{8} \\sin A=\frac{8}{28} \times sin 82\\A=sin^{-1} (\frac{2}{7} \times sin~82) \approx 16.4 ^\circ\)

Answer:

your answer should be 15

Step-by-step explanation:

Answer:

567

Step-by-step explanation:

you gotta keep dreaming multiply the 6 then the 5

Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.

The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.

In mathematical notation, this looks like:

3^8 = 3^5 x 3^3

Using the properties of multiplication, we can add the exponents together:

3^8 = 3^(5+3)

Simplifying the exponent:

3^8 = 3^8

This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.

Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.

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Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

The total distance from the roof to the basement floor is,

⇒ 34 feet

We have to given that;

The architectural drawing of a building shows the elevation of the basement -10 feet.

And,  The elevation (height) of the roof is 24 feet.

Hence, The total distance from the roof to the basement floor is,

⇒ |- 10 - 24|

⇒ |- 34|

⇒ 34

Thus, The total distance from the roof to the basement floor is,

⇒ 34 feet

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Answer:

can u take pic again?

Step-by-step explanation:

Answer:

300:500

Step-by-step explanation:

If there are 200 left handed gloves, then there are 300 right handed gloves.

The total amount of gloves is 500, so its 300:500.

Answer:

A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length. ... A biconditional is true if and only if both the conditionals are true. there??

Step-by-step explanation:

✏ Answer:

\(y=-9\)

Step-by-step explanation:

\(2-\frac{1}{8}y=11+\frac{7}{8}y\)

➠ Subtract 2 from both sides:-

\(2-\frac{1}{8}y-2=11+\frac{7}{8}y-2\)

\(-\frac{1}{8}y=\frac{7}{8}y+9\)

➠ Subtract 7/8y  from both sides:-

\(-\frac{1}{8}y-\frac{7}{8}y=\frac{7}{8}y+9-\frac{7}{8}y\)

\(-y=9\)

➠ Divide both sides by -1:-

\(\frac{-y}{-1}=\frac{9}{-1}\)

\(y=-9\)

OAmalOHopeO

✎--------------------------

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ \)

Subtract \(\tt\frac{7}{8}y\) from both sides.

\( \tt \: 2-\frac{1}{8}y-\frac{7}{8}y=11 \\ \)

Combine \(\tt-\frac{1}{8}y\) and \(\tt-\frac{7}{8}y\) to get -y.

\( \tt \: 2-y=11 \)

Subtract 2 from both sides.

\( \tt \: -y=11-2 \)

Subtract 2 from 11 to get 9.

\( \tt \: -y=9 \)

Multiply both sides by -1.

\( \boxed{\boxed{ \bf \: y=-9 }}\)

Answer:

Step-by-step explanation:

The energy expended per person is 2160/5 = 432 MJ.

Imagine that you have unlimited time to travel from Washington D.C. to Cleveland, Ohio. The distance is approximately 600 kilometers. Determine the number of megajoules of energy used to complete the journey using each mode of transportation in the table given below.
The following are the energy requirements for each mode of transportation:
- Airplane - 2.1 MJ per passenger-kilometer
- Car (driver only) - 3.6 MJ per passenger-kilometer
- Train - 1.1 MJ per passenger-kilometer
- Bus - 1.7 MJ per passenger-kilometer
1b. If a gallon of gasoline contains 120 MJ, how many gallons of gasoline does it take to make the trip by car?
We know that the car's energy requirement is 3.6 MJ per passenger-kilometer, and the distance is 600 kilometers. There is only one driver, so the energy consumed by the car is 3.6 * 600 = 2160 MJ.
We can calculate the number of gallons of gasoline required using the energy content of gasoline. A gallon of gasoline contains 120 MJ. As a result, the number of gallons required is:
2160/120 = 18 gallons.
If four people ride in the car, the energy used per person will be reduced.
The energy required for the car is 2160 MJ when only the driver is present. When four passengers ride in the car, the total energy expenditure is the same.
Thus, the energy expended per person is 2160/5 = 432 MJ.
The most effective mode of transportation would be a train. The energy consumption of a train is only 1.1 MJ per passenger-kilometer. As a result, taking a train would save a significant amount of energy.

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The required function of the line would be y = 2x + 1.

A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

The slope-intercept form is one rule to represent linear function rules. f(x)=mx + b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.

According to the given figure,

We clearly see that the coordinates of the y-intercept would be (0, 1).

The value of the x-coordinate is 1 when y-coordinate is 3.

Here the line passes through points (0, 1) and (1, 3).

Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 0, y₁ = 1

x₂ = 1, y₂ = 3

⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]

⇒ y - 3 = (2)[x -1]

⇒ y - 3 = 2x - 2

⇒ y = 2x - 2 + 3

⇒ y = 2x + 1

Therefore, the required function of the line would be y = 2x + 1 .

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Answer:

1. C

2. B

3. D

4. A

5. B

Step-by-step explanation:

Answer: $3.75

Step-by-step explanation:

The amount that you would save is 5% of your monthly bill of $75.

This amount is:

= 75 * 5%

= $3.75

The total amount that you would pay is:

= 75 - 3.75

= $71.25

Answer: Cody rented the bike for 7 hours.

Step-by-step explanation:

$65-$16=$49

$49/$7=7 hours

The Perimeter of rectangle is 29n + 3 feet.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

width of a rectangle is 8n-6.5 feet and the length is 6.5n+8 feet.

W = 8n-6.5

L =  6.5n+8

Perimeter of the rectangle = 2(length+width)

Perimeter = 2(8n-6.5+ 6.5n+8)

= 2(14.5n + 1.5)

= 29n + 3

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The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.

A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.

So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.

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The normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

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Answer:

oop

Step-by-step explanation:

Answer:

who?

Step-by-step explanation:

Note that the probability that he gives the lifejackets to just two of the three non-swimmers​ is 3/250 or 0.012

Let's define the following events...

A: Two of the three non-swimmers get lifejackets

B: Three lifejackets are given to two non-swimmers and one swimmer

We want to calculate P(A), the probability that two of the three non-swimmers get lifejackets. We can do this using the formula/...

P(A) = P(A|B) * P(B) + P(A|not B) * P(   not B)

P (B), the probability that the Captain gives the lifejackets to two non-swimmers and one swimmer....

P(B )  = (3/5 ) x (2/4) x (1/3) = 1/ 10

Note that  he number of ways to choose 2 non-swimmers from 3 is 3, and the number of ways to choose 1 swimmer from 2 is 2.

The total No.  of ways to choose 3 passengers from 5 is 10, hence

P(A | B) = (3 choose 2) x (2 choose 1) / (10 choose 3) = 6 /50

The No. of ways to choose 2 non-swimmers from 2 is 1, and the number of ways to choose 1 swimmer from 3 is 3. The total number of ways to choose 3   passengers from 5 is 10

P(A|not B) = (1 choose 2) x (3 choose 1) / (10 choose 3) = 0

Plugging in the values, we get....the followint

P(A) = (6/50) * (1/10) + (0) * (9/10) = 3/ 250

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Answer:

Step-by-step explanation:

32

Answer:

19/36.

Step-by-step explanation:

Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.

Answer: 19/36

Step-by-step explanation:

A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.

Step 1: Write the mean equation

(2/3 + 4/6 + 1/4)/3 = x

Step 2: Find the common denominator

3, 6, and 4 are all factors of 12, so 12 is your common denominator

4(2/3) = 8/12

2(4/6) = 8/12

3(1/4) = 3/12

Now rewrite the equation with the common denominator

(8/12 + 8/12 + 3/12)/3 = x

Step 3: Sum the fractions

(19/12)/3 = x

Step 4: I

Invert and multiply

(19/12)/3 = 19/12 * 1/3 = 19/36

This is your answer.

Answer:

5 : 7

Step-by-step explanation:

First figure  surface    a * a * 6  = 6 a^2

  now scale the dimesion by x

      ax * ax * 6 =  6 a^2 x^2

                        =  150 x^2   = 294

                           x^2 = 294/150

                            x = 7 : 5      is th ratio of the larger to the smaller