7×5+6×-2
please answer i really need

In this "Simple Random Sample" scenario, 500500500 selected randomly registered phone numbers were chosen.

For the given data in the question.

Thus, 500500500 random registering phone numbers are randomly chosen by a state court employee using a computer, and the law firms connected to all those numbers are randomly chosen for an audit.

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The unknown number is 13. We can find the solution in the following manner.

We can start by translating the given sentence into an equation:

10x - 4 = 126

Here, x represents the unknown number we're trying to find.

To solve for x, we need to isolate it on one side of the equation. We can do this by adding 4 to both sides, and then dividing both sides by 10:

10x - 4 + 4 = 126 + 4

10x = 130

x = 13

Therefore, the unknown number is 13.

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By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution.

The extraneous solutions are the solutions that does not work in the original equation.

Original equation

\($\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7x+21)$\)

Now we will simplify this

\(\log _{4}(x(x-3))=\log _{4}(-7 x+21)$\\\\x(x-3)=-7 x+21\\\\&x^{2}-3 x=-7 x+21 \\\\\\&x^{2}-3 x+7 x-21 =0\\\\&x^{2}+4 x-21=0\\\\\\&x^{2}-3 x+7x-21=0\\\\\\(x-3)(x+7)=0\\x=3,-7\)

Now, we will determine the extraneous solution, by substituting  x=3 and x=-7 in the originally given equation.

Substituting  x=3,

\(\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-21+21) \\\\\log _{4}(3)+\log _{4}(0)=\log _{4}(0)\)

As we know log(0)  is undefined , Hence x=3 is extraneous solution

Now Substituting  x=-7

\(\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)\\\\\log _{4}(-7)+\log _{4}(-10)=\log _{4}(-28)\)

As we know log is not defined for negative numbers hence x=-7 is extraneous solution

By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution

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Answer:

The height is of a cone is 18 cm

Answer:

12 cm

Step-by-step explanation:

Using Pythagoras theorem

Square of Height+Square of Radius=Square of Slant height

H^2+5^2=13^2

H^2+25=169

H^2=169-25

=144 cm

H=12 cm

Answer:

\(\displaystyle 10c - 6a = 110\)

Step-by-step explanation:

We are given the equation:

\(\displaystyle 3x^3 - 25x^2 -50x = 0\)

Where a, b, and c are solutions to the equation and where a < b < c, we want to determine the value of 10c - 6a.

To find the solutions of the equation, we can factor:

\(\displaystyle \begin{aligned} 3x^3 - 25x^2 -50x & = 0 \\ \\ x(3x^2 - 25x -50) & = 0 \\ \\ x(3x+5)(x-10) & = 0 \end{aligned}\)

From the Zero Product Property:

\(\displaystyle x = 0 \text{ or } 3x + 5 = 0 \text{ or } x - 10 = 0\)

Solve for each case:

\(\displaystyle x = 0 \text{ or } x = -\frac{5}{3} \text{ or } x = 10\)

We can see that -5/3 < 0 < 10. Thus, a = -5/3, b = 0, and c = 10.

Therefore:

\(\displaystyle \begin{aligned} 10c - 6a & = 10(10) - 6\left(-\frac{5}{3}\right) \\ \\ &= 100 + 10 \\ \\ & = 110 \end{aligned}\)

Answer:

its either 63 or 64, im not really sure

In this scenario, Nasim is flying a kite and measures the angle of elevation from his hand to the kite as 28 degrees. The string from the kite to his hand is 105 feet long, and he wants to determine the height of the kite above the ground.

To find the height of the kite above the ground, we can use trigonometry. The angle of elevation forms a right triangle with the ground and the string. The opposite side of the triangle represents the height of the kite. Using the trigonometric function tangent (tan), we can set up the following equation: tan(28 degrees) = height of the kite / length of the string. Rearranging the equation, we get: height of the kite = length of the string * tan(28 degrees). Substituting the values given, we have: height of the kite = 105 feet * tan(28 degrees). Evaluating this expression, we can find the height of the kite above the ground. Remember to round the answer to the nearest hundredth of a foot if necessary.

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# Complete Question :-  Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kites string play out. He measures the angle of elevation from his hand to the kite to be 28 degree. If the string from the the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

The length of the side 'x' is √5 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The side 'x' with respect to the reference angle is opposite and we have the length of the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore, sin45° = x/√10.

1/√2 = x/√10.

x = √10/√2.

x = (√10×√2)/2.   (√2/√2 we have multiplied to simplify the denominator).

x = √20/2.

x = 2√5/2.

x = √5.

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Answer: 2.11 km

Step-by-step explanation:

Walking both ways means that Sam walks a distance of:

= 1,055 + 1,055

= 2,110 meters

There are 1,000 meters in a kilometer so the number of kilometers walked is:

= 2,110 / 1,000

= 2.11 km

Answer: The answer is 49.32

Step-by-step explanation:

Answer:

(4,8)

Step-by-step explanation:

6 minus 2 and 4 plus 4

Left=minus

Right=Plus

Down=minus

Up=Plus

Answer:

(4, 8)

Step-by-step explanation:

Answer:L=-25t+200

Step-by-step explanation:

50=-25(6)+b

50=-150+b

200+b

Answer:

L=-25t+200

Step-by-step explanation:

Step-by-step explanation:

To find the zero of the function f(x)=-x²+x+12, we set f(x) equal to zero and solve for x:

0 = -x² + x + 12

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = -1, b = 1, and c = 12. Substituting these values into the quadratic formula:

x = (-(1) ± √((1)² - 4(-1)(12))) / (2(-1))

x = (-1 ± √(1 + 48)) / (-2)

x = (-1 ± √49) / (-2)

x = (-1 ± 7) / (-2)

This gives us two possible solutions:

x₁ = (-1 + 7) / (-2) = 6 / (-2) = -3

x₂ = (-1 - 7) / (-2) = -8 / (-2) = 4

Therefore, the zeros of the function f(x) are x = -3 and x = 4.

Now, let's interpret what these zeros represent in the context of the problem. The horizontal distance x represents the distance of the diver from the diving board. Therefore, the zero x = -3 means that the diver hits the water 3 feet away, horizontally from the board. On the other hand, the zero x = 4 means that the diver hits the water 4 feet away, horizontally from the board.

Based on the given function, f(x), the zeros indicate the horizontal distances at which the diver hits the water. So the correct interpretation is:

Ox-3; the diver hits the water 3 feet away, horizontally from the board.

Answer:

KM = 7

LM = 7

KL = 11

Step-by-step explanation:

Isosceles triangles have 2 congruent sides (in this case they are KM and LM

This means 4d-13 = 12-d

We can now solve for d

4d-13 = 12-d | add d to both sides

5d-13 = 12 | add 13 to both sides

5d = 25 | divide both sides by 5

d = 5

Now we can solve for the 3 sides of triangle KLM

KM = 7

LM = 7

KL = 11

That is your answer

- Kan Academy Advance

Answer:

option d) y is smaller than or equal 6

In stroke play, when Player A concedes a short putt to Player B on the 7th hole and Player B picks up their ball and tees off on the 8th hole before holing out on the 7th hole, the ruling is that Player B incurs a penalty for not completing the hole.

In stroke play, if player A concedes a short putt to player B on the 7th hole, it means that player B can pick up their ball without completing the hole.

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Answer:

1/5 should be the answer

for every 2 teaspoons of vanilla it is 2/5, so for one it has to be 1/5 because 1/5 cup plus 1/5 cup will be 2/5 for 2 teaspoons.

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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as the question say, shw drove 32 miles in 4 hours, but for the unit rate you need to simplify it:

32/4=8

she drove 8 miles in 1 hour

so the answer is: option C

Answer: L= 9-.75x

Step-by-step explanation: since it starts at 9 inches tall and is melting at .75 inches per hour, it's going to be the initial length, 9, minus the rate, .75, times the time/hours past, so x

Answer:

  C. 64 = 0.80 x n; 80

Step-by-step explanation:

In this context "of" means "times." The given relation can be translated to ...

  64 is 80% of what

  64 = 0.80 × what

If we let "n" represent the number that would answer "what", then this is ...

  64 = 0.80 × n

__

Dividing by the coefficient of n, we find the value of n to be ...

  64/0.80 = n = 80

Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.

For the "Shorts" row: It's given that 42 people were wearing shorts.

Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.

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See text below

30 people surveyed were wearing open-toed shoes.

1/3 of the people with open-toed shoes were wearing

pants.

• 42 people were wearing shorts.

Twice as many people were wearing closed-toed shoes

than open-toed shoes.

Complete the table using the information given.

                   Open-Toed Shoes              Close-Toed Shoes         Total

Shorts                     -------                           ------                               --------

Pants                         ------                           ----------                            ------

Total                          ------                           ----------                            ---------

Answer:

Step-by-step explanation:

The top of the ladder is sliding down the wall at a rate of 60/13 ft/sec, The area of the triangle is changing at a rate of -35/12 ft^2/sec and The angle between the ladder and the ground is changing at a rate of approximately -4.73 degrees/sec.

Let's denote the distance from the base of the ladder to the house by \($x$\) and the height of the ladder on the wall by \($y$\).

a. We can use the Pythagorean Theorem to relate \($x$\) and \($y$\). Then, taking the derivative of both sides with respect to time, we have:

\($\frac{d}{dt}(x^2+y^2)=\frac{d}{dt}(13^2)$\)

\($2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$\)

We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dy}{dt}$\) when

\($x=12$\) ft. We also know that

\($y=\sqrt{13^2-x^2}$\), so \($\frac{dy}{dx}=-\frac{x}{\sqrt{13^2-x^2}}$\).

Using the chain rule, we have:

\($\frac{dy}{dt}=\frac{dy}{dx}\frac{dx}{dt}=-\frac{12}{5\sqrt{119}}$\)  ft/sec

b. The area \($A$\) of the triangle formed by the ladder, wall, and ground is given by:

\($A=\frac{1}{2}xy$\)

Taking the derivative of both sides with respect to time, we have:

\($\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$\)

We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dA}{dt}$\) when \($x=12$\) ft and \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec. Plugging in the values, we get:

\($\frac{dA}{dt}=-\frac{36}{\sqrt{119}}$\) sq ft/sec

c. The angle \($\theta$\) between the ladder and the ground is given by:

\($\sin\theta=\frac{y}{13}$\)

Taking the derivative of both sides with respect to time, we have:

\($\cos\theta\frac{d\theta}{dt}=\frac{1}{13}\frac{dy}{dt}$\)

We know that \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{d\theta}{dt}$\) when \($x=12$\) ft. We can use the Pythagorean Theorem again to find \($\cos\theta$\) when\($x=12$\) ft and \($y=\sqrt{13^2-x^2}$\). Then, plugging in the values, we get:

\($\frac{d\theta}{dt}=-\frac{12\sqrt{6}}{65}$\) rad/sec

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A sequence of rigid motions and dialations that take square ABCD to square EFGH,

Dilation is a transformation that is used to change the size of an object. Dilation is used to enlarge or reduce objects. This transformation creates an image that is the same as the original shape. But the difference is in the size of the shape. Dilation should either stretch or shrink the original shape. This transformation is expressed by the term "scale factor". If the dilation creates a larger image, then it is called magnification.

Scale factor is defined as the ratio of the size of the new image to the size of the old image. The center of the dilation is a fixed point in plane.

We have , a square ABCD with rigid motion and dilation to come in shape square EFGH.

As, we see in above figure, the square ABCD is rotating as rigid motion of square . Also, the side of both square are not same that means square ABCD is dilated with a scalar factor. Now, we calculate scale factor for dilation,

Scale factor , k = new image size/ old image size

=> k = 2/7 < 1

Hence, The dilation of square ABCD by a scale factor 2/7.

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Answer:

efgdfhncdrt gguhd r g sixtieth sex

Answer:

Step-by-step explanation:

\(\\Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(10,\:-14\right),\:\\\left(x_2,\:y_2\right)=\left(-16,\:-4\right)\\\\=\left(\frac{-16+10}{2},\:\frac{-4-14}{2}\right)\\\\=(\frac{-6}{2}, \frac{-18}{2}\\ \\Simplify\\\\=\left(-3,\:-9\right)\)