-7x-8=x-8(1-5x)
Help me please

Answer:

the answer is 63°.

please give thanks if it helps.

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

Answer:

When we add 23°, 145°, 23° and 69° we get 260°

And 260° does not have defined number of sides

Step-by-step explanation:

These are the polygons with the number of sides and angles

Polygon Name  |  Number of Interior Angles  |  Sum of Interior Angles

Triangle                                     3                                    180°

Quadrilateral                            4                                    360°

Pentagon                                  5                                    540°

Hexagon                                   6                                    720°

Septagon                                  7                                    900°

Octagon                                    8                                   1080°

Nonagon                                   9                                   1260°

Decagon                                   10                                  1440°

The correct statement about the center of both box plots is: the median for Town A, 30° is greater median for Town B, 25°

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper (third) quartile.

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The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

Answer:

Step-by-step explanation:

(4, -6) is in quadrant IV , (quadrant 4)

Answer:

\(\sqrt{3} - \frac{\pi}{2}\)

Step-by-step explanation:

Firstly, you connect the three origins, and then a triangle form, the triangle is certainly an equilateral triangle.

The three sides of the triangle are all 2cm because the radius of the three coins are 1cm, it's very easy to understand.

Now, using the Pythagorean theorem (of you have a right triangle with two sides a, b and the hypotenuse c, you can see that\(\sqrt{a^{2} +b^{2} }=c\), \(\sqrt{c^{2}-b^{2} } =a\)and \(\sqrt{c^{2}-a^{2} } =b\)), we can get the area of the equilateral triangle by calculating the two right triangles in it (you can get the two triangles by drawing a line connecting the point of one angle to the middle point of its opposite side)

The area of one of the two small right triangles is: \(\frac{1*\sqrt{2^{2}-1^{2} }}{2}=\frac{\sqrt{3} }{2}\), and the sum of the area of the two right triangles, which is also the area of the equilateral triangle is: \(2*\frac{\sqrt{3} }{2}=\sqrt{3}\)

We calculate all this because we need to use the area of the equilateral triangle to subtract the area of the three sectors in it, and the result will be the area of the shaded area.

Now, to calculate the area of the three sectors, we need to know the angles of them, which is 60 degrees(because they are in an equilateral triangle). And then, the area of one of the three sectors(they are completely the same) are \(1^{2} \pi *\frac{60}{360} =\frac{\pi }{6}\), so the sum of the three sectors are \(\frac{\pi }{6}*3=\frac{\pi}{2}\).

Then, the shaded area of the area of the equilateral triangle subtract the area of the three sectors, which is\(\sqrt{3} -\frac{\pi}{2}\)

If you want the result in decimals, you can use a calculator.

Hope this will help:)

P.S. Typing this rly took me  a LONG time >_<

The final answer is option D with a sensitivity of 98.3% and a specificity of 96.8%.

Given that,

Total individuals (N) = 100

Predicted probability cut-off = 0.6

Predicted diabetics (P) = 69

Actual diabetics (A) = 58

Predicted non-diabetics (N-P) = 31

Actual non-diabetics (N-A) = 42

To calculate the number of false positives,

False positives = Number of non-diabetic individuals predicted as diabetic

⇒ False positives = N(P)-(A)

⇒ False positives = 69-58

⇒ False positives = 11

To calculate the number of true negatives,

True negatives = Number of non-diabetic individuals predicted as non-diabetic

⇒ True negatives = N(N-P)-(N-A)

⇒ True negatives = 100-31-42

⇒ True negatives = 30

To calculate the number of false negatives,

False negatives = Number of diabetic individuals predicted as non-diabetic

⇒ False negatives = A - N(P-A)

⇒ False negatives = 58 - (69-58)

⇒ False negatives = 6

To calculate the model's sensitivity,

⇒Sensitivity = A / (A + false negatives)

⇒Sensitivity = 58 / (58 + 6)

⇒Sensitivity = 0.983 or 98.3%

To calculate the model's specificity,

⇒Specificity = true negatives / (true negatives + false positives)

⇒Specificity = 30 / (30 + 11)

⇒Specificity = 0.968 or 96.8%

Therefore,

There is "a sensitivity of 98.3% and a specificity of 96.8%" is correct,.

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Answer:

He would need 3.3 gallons

Step-by-step explanation:

1 gallon = 128 ounces

35 * 5 = 420

420 / 128 = 3.28

Answer: 4

Step-by-step explanation: Mode is highest occurring number

Answer:

1:3

Step-by-step explanation:

The total animals is 45 and the cats is 15.

The ratio is 15:45

Simplified, it would be 1:3 because you can divide each side my 15.

Hope this helped!! :)

Brainliest?!?!

Have a safe and wonderful day/night/afternoon!!!

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

The initial few would be 6. because that charge does not change whether she miss for 2 hours or 24 hours. as yiu can see in the equation F (t) = 6 + 12t the 6 is never changing. whereas the 12 changes by a factor of t. t would be the amount of hours and 12 is the rate per hour. So if she worked 2 hours it would be 2 * 12 for the hourly charge which would be 24 and then the 24 + 6 where 6 is the base charge

Step-by-step explanation:

The mean of random variable X is 3.5

Given,

X      0       1       2      3       4      5       6     7

P(x) 0.04 0.11 0.18 0.21 0.16 0.18 0.09 0.03

Now,

Mean of random variable X is calculated by summation of all the entries in random variable X and dividing it by number of total entries .

So,

Total number of entries = 8

Mean (X) = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 /8

Mean (X) = 28/8

Mean(X)  = 3.5

Hence the mean of the discrete random variable X is 3.5

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Answer:

b is -4

Step-by-step explanation:

we're given:

|2b + 2| = 6

substituting b for -4 :

|2(-4) + 2| = 6

|-8 + 2| = 6

|-6| = 6

any negative number between absolute value becomes positive.

Hence b is -4

Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

-------------------------

Perimeter of the room:

Area of the four walls:

Answer:

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

Answer:

2 and 4

Step-by-step explanation:

1% of 72 is 0.72
0.72 * 40

is 28.8

10% of 72 is 7.2

7.2 * 4 is also 28.8

40% of 70 is 28.8

Answer:

Step-by-step explanation:

The exact roots csc Θ = undefined in 0° ≤ Θ≤ 360° are x = 0°, 180°.

By the definition:

csc Θ = 1/ sin Θ

Hence, for those values of where sin θ = 0, csc θ is undefined.

The answer to this equation is:

x = kx ; k ∈ Z

Written in the intervals:

x = 0, π

In degrees.

x = 0°, 180°

Thus, the exact roots csc Θ = undefined in 0° ≤ Θ≤ 360° are x = 0°, 180°.

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The correct question is-

What are the exact roots for csc Θ = undefined in 0° ≤ Θ≤ 360°.

The answer is 2.33 standard deviations above the mean for a student to receive an A.

In order to curve the grades of the class in such a way that the top 9% would receive an A, the professor must use a normal distribution of grades. Normal distributions follow a bell-shaped curve in which the mean (or average score) is in the middle and the scores spread out symmetrically on either side.

The scores must be distributed such that the top 9% receive an A, and since the normal curve is symmetric, the top 9% would have to span two standard deviations above the mean in order for the student to receive an A.

Knowing this, we can use the 68-95-99.7 rule, which states that 68% of the data lies within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three. In order for the top 9% to lie within two standard deviations of the mean, 2.33 standard deviations are required for a student to receive an A.

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Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

\(a^2=b^2+c^2-2bc\cos A\)

Using cosine formula in ΔOPQ, we get

\(o^2=p^2+q^2-2pq\cos O\)

On substituting the values, we get

\(o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)\)

\(o^2=32400+14400-43200(-0.9877)\)

\(o^2=46800+42668.64\)

\(o^2=89468.64\)

Taking square root on both sides.

\(o=\sqrt{89468.64}\)

\(o=299.113\)

\(o\approx 299\)

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Answer:

y (is less than or equal to) 3

Step-by-step explanation:

i hope this helps :)

The value of the inequality will be : y ≥ -10 .

Given ,

y-5 ≥ -15

Here,

y-5 ≥ -15

To solve the given inequality,

Take -5 from LHS to RHS of inequality,

y ≥ -15 + 5
y≥ -10

Thus the value of y will be equal to or greater than -10 .

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Answer:

To be clear, do u want the angle of M?

Answer:

secM = \(\frac{17}{15}\)

Step-by-step explanation:

secM = \(\frac{1}{cosM}\)

cosM = \(\frac{adjacent}{hypotenuse}\) = \(\frac{MN}{LM}\) = \(\frac{15}{17}\) , then

secM = \(\frac{1}{\frac{15}{17} }\) = \(\frac{17}{15}\)