7.
Solve (x-4)2 + 3x = (2x + 5)(x-7) – 13.
=
Give the exact answers in simplified surd form.

Answer:

581 square centimeters

Step-by-step explanation:

Answer:

1 mile more

Step-by-step explanation:

One path = 1/3 mile (2/6 simplified)
Ezra = 1/3 × 4

Ezra = 4/3 or 1 1/3 mile

Tasming = 1/3 × 7

Tasming = 7/3 or 2 1/3 mile

2 1/3 - 1 1/3 = 1

I hope this helped and please mark me as brainliest!

180 divided by 4.5 is 40. Therefore, your answer is 40! (Brainliest would be appreciated :D)

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

Step-by-step explanation:

The number of real solution of a quadratic equation can be found from the number of x-intercepts on the graph. If the curve passes through the x-axis twice, (2 x-intercepts), then the equation has two real solutions.

If it passes through once, (the vertex is on x-axis), then there is one real solution, and if it does not touch the x-axis at all (floating above it or below it), then it has no real solutions.

Hope this helped!

Working

Q=k÷p

0•25=k÷2(cross multiply)

0•50=k or k=0•50

Answer

Q=0•50÷2

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Answer:

f(x) = (x + 1)² - 9

vertex: (-1, -9)

domain:  all real numbers

range:  y ≥ -9

Step-by-step explanation:

y = x² + 2x - 8

convert by 'completing the square' method

x² + 2x + 1 = 8 + 1

(x + 1)² = 9

f(x) = (x + 1)² - 9

Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

Answer:

I will give you the link below to a PDF that one of my young friends made for someone who had this exact question.

Step-by-step explanation:

The appropriate domain for this situation is \(\{t : 0 \leq t \leq 1.5\ \& \: t \in \mathbb R \}\) (that means t can be any real number and between 0 and 1.5 (both endpoints included)

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

For this case, we have  only those values of 't' as appropriate value, which are from t = 0 till the time when ball hits the ground, since after that the height will be constantly 0, but the height function will give negative values which doesn't model the situation correctly.

Thus, those values of t for which the equation \(h(t) = -16t^2 + 24t\) correctly models the real world situation are said to be appropriate values of domain of this function.

The time when the ball will reach the ground will be when the height will be 0, thus,:

\(0 = -16t^2 + 24t\\2t^2 - 3t = 0\\(2t-3)(t) = 0\\t = 0, t = 3/2 = 1.5 \: \rm sec\)

The height is 0 when ball starts going up(t=0), and when t = 1.5 the ball reaches ground.

Thus, the appropriate domain for modelling the situation is values of t in the interval [0, 1.5] (both endpoints are inclusive, as shown by big bracket).

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Let's use the proportion method to solve the problem. We know that \frac{3}{4} pound of nails fills \frac{2}{3} of the container. Let x be the total weight of nails that will fill the container. Then we can set up the proportion:

\frac{3}{4} / \frac{2}{3} = x / 1

To solve for x, we can cross-multiply and simplify:

\frac{3}{4} * \frac{3}{2} = x

x = \frac{9}{8} = 1.125 pounds of nails

Therefore, 1.125 pounds of nails will fill the container.

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Answer:

0.0625

Step-by-step explanation:

Answer: When c is 2, the answer is 8. 8 is less than 9. So as the value of c increases, the value of the expression decreases in this case.

Step-by-step explanation:

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

Triangle Congruence

The figure shows two triangles JKL and JML. They have two congruent angles JKL -> JML and KJL -> MJL

Two congruent angles on both triangles guarantee that the third angle is also congruent because the sum of all the interior anges is 180° on any triangle.

Having this in mind, we have all of the interior angles congruent but the AAA theorem is not enough to prove congruence.

Since the triangles share a common side JL, then we are sure the triangles are not only similar, but congruent.

Thus, the two angle congruence and the common side are enough data to prove the congruence of the given triangles.

AAA theo

Answer:

-2 I think +6-8=-2

Answer:

V = 1692.46 m3

Step-by-step explanation:

V = π· r2· h

V = π· 72· 11

V = 1692.46 m3

Answer:

Step-by-step explanation:

A=2*π*r*h+2*π*r^2    ( This is the formula for surface area of cylinder )

As given

base = 11m    so we have to get the radius = 11/2 = 5.5m

height=7m

now putt in formula, we get

=2*π·*(5.5)*(7)+2*π*(5.5)^2

=431.96899m^2

The area of the square is 25ft² and the perimeter is 20ft.

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

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Answer:

the answer is (-1, 10)

|6|  is equal to 6

|-6|  is equal to 6

-|6|  is NOT equal to 6

-|-6|  is NOT equal to 6

|0 - 6|  is equal to 6

|-2| · |3| is equal to 6

Hope this helps!  (❁´◡`❁)

Answer:  |6|, |-6|, |0-6|, |-2| x |3|

Step-by-step explanation:

if the negative sign is in front of the line instead on inside it makes the whole thing negative.  Anything inside the lines is automatically positive.

after 3 trips, the probabilities for the driver's locations are approximately 0.524 for airport A, 0.274 for hotel B, and 0.202 for hotel C. If the driver starts at hotel B, after 3 trips, we expect them to be at hotel B with a probability of approximately 0.46. The stationary distribution of the chain indicates that, in the long run, the driver is most likely to be found at the airport (state A) with a probability of approximately 0.4167.

(a) To find the transition probability matrix, we assign the values A = 0, B = 1, and C = 2. The matrix will have dimensions 3x3, with each entry representing the probability of transitioning from one state to another.

Let's denote the transition probability matrix as P. The entries of P are given by:

P = [[0, 1/4, 3/4],

[4/5, 0, 1/5],

[4/5, 1/5, 0]]

(b) If the driver is initially at the airport (state A), we can find the probability of their location after 3 trips by multiplying the initial state vector [1, 0, 0] by the transition probability matrix P three times:

[1, 0, 0] * \(P^3\)= [0.524, 0.274, 0.202]

Therefore, after 3 trips, the probabilities for the driver's locations are approximately 0.524 for airport A, 0.274 for hotel B, and 0.202 for hotel C.

(c) If the driver is initially in hotel B (state B), we can calculate the probability of their location after 3 trips by multiplying the initial state vector [0, 1, 0] by the transition probability matrix P three times:

[0, 1, 0] *\(P^3\)= [0.46, 0.46, 0.08]

Therefore, after 3 trips, we expect the Uber driver to be at hotel B with a probability of approximately 0.46.

(d) To find the stationary distribution of the chain, we need to solve the equation π = π * P, where π is the stationary distribution vector. This equation represents the balance between entering and leaving each state in the long run. Solving this equation yields the following vector:

π = [0.4167, 0.2778, 0.3056]

Interpretation: The stationary distribution indicates the long-term probabilities of the Uber driver's location in the Markov chain. In this case, the Uber driver is most likely to be found at the airport (state A) with a probability of approximately 0.4167. Hotel C has the second highest probability of approximately 0.3056, while hotel B has the lowest probability of approximately 0.2778. This suggests that, on average, the Uber driver spends the most time at the airport, followed by hotel C, and the least time at hotel B.

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Answer:

.................... .

Answer:

6

Step-by-step explanation:

\(\frac{3}{4}\)÷\(\frac{1}{8}\)

\(=\frac{3}{4} \times \frac{8}{1}\)

\(=\frac{3\times8}{4\times1}\)

\(=\frac{24}{4}\)

\(=\frac{24/4}{4/4}\)

\(=6\)

The values of g(x) is given in sequential order as 0,-2,-4,-5,-7

The function is given as :  g(x)=-x-2

What is Mathematical function ?

Mathematical function is the representation of relation between independent variables and dependent variables.

Here, the values of independent variable  \(x\) is given and it is to find the value of dependent variable  g(x)

Therefore, for x=-2 the value of g(x) is :

g(x) = -x-2

g(x) = - (-2) - 2

g(x) = 2-2

g(x) = 0

similarly the other values of g(x) is calculated and written in a table given below.

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