Brainliest to whoever answers first!!!Z'(5, -7) is the image of Z after a reflection
in the line y=x. What are the coordinates
of Z?

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

  A, B, E

Step-by-step explanation:

You want to identify the exterior angles in the triangle figure shown.

An exterior angle to a triangle is an angle that forms a straight angle with the adjacent interior angle of the triangle.

The exterior angle to angle 5 is angle 6.

The exterior angles to angle 1 are angle 2 and angle 4.

These are listed in choices A, B, and E.

<95141404393>

The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Answer:

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

If one side of a square is 2a - b, then the area is:

So the area is 4a² - 4ab + b².

Answer:

answer is 45 + 5 so it's 50

Answer:

-2X-4<14

-2X<18

X>9

Step-by-step explanation:

(a) The coordinates after Rotation of 270° counterclockwise are W(5, -1), X(5, -7), Y(2, -7) and Z(2, -1).

(b) The coordinates after translation: (x, y) =(x-7, y + 3) are W(-6, 8), X(0, 8), Y(0, 5) and Z(-6, 5).

What is Rotation and Translation of coordinates ?

A rotation is any movement within a specific space that keeps at least one point. A rigid body's motion around a fixed point is one example of what it can be used to explain.

Every point in a figure, shape, or space is moved by the same amount and in the same direction by a translation, which is a geometric transformation.

Since the Rotation of Rectangle is 270° counterclockwise, it will shift the rectangle from 1st Quadrant to 4th Quadrant with transition from (x, y) to   (y, -x).

So, the coordinates after rotation of 270° counterclockwise are :

W(1, 5) ⇒ W(5, -1)

X(7, 5) ⇒X(5, -7)

Y(7, 2) ⇒Y(2, -7)

Z(1, 2) ⇒Z(2, -1)

Similarly, The coordinates after translation of (x, y) ⇒ (x-7, y+3 )

W(1, 5) ⇒ W(1-7, 5+3) = W(-6, 8)

X(7, 5) ⇒X(7-7, 5+3) = X(0, 8)

Y(7, 2) ⇒Y(7-7, 2+3) =Y(0, 5)

Z(1, 2) ⇒Z(1-7, 2+3) = Z(-6, 5)

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The scale of a topographical map is 1:50000. This means that 1 cm on the map is 50 000 cm on reality.

Now, we can take the

Solution

The question would like us to evaluate the following expression

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

Also,

Thus, combining both results, we have:

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

Answer:

2j-20

Step-by-step explanation:

Multiply 2 into the parenthesis. So 2(j) -2(10).

This equals 2j-20.

Answer:

Y-Intercept is equal to 100

Y-Intercept in Coordinate for is (0,100)

Answer:

  24 cm

Step-by-step explanation:

Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.

Then the bottom height (h) ratio to the overall height is ...

  h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36

The height h is 24 cm.

According to the cohort study, it is a good approximation of the RR in a particular study depends on various factors, including the incidence of the outcome, the size of the exposed and unexposed groups, and the study design. (option d).

The study you mentioned is a prospective cohort study that followed marijuana users and non-users to determine their first experience of a psychotic episode. The table below shows the data collected from the 2-year cohort study.

The OR for developing a psychotic episode in marijuana users compared to non-users can be calculated as follows:

OR = (20/480) / (5/500) = 8.33

This means that marijuana users are 8.33 times more likely to experience a psychotic episode than non-users. However, the OR is not the same as the RR, which measures the distance between the incidence of an outcome in the exposed group compared to the unexposed group.

In this study, the RR can be calculated as:

RR = (20/500) / (5/500) = 4

This means that marijuana users are four times more likely to experience a psychotic episode than non-users. As you can see, the OR and RR are different measures of the distance between the incidence of an outcome in the exposed and unexposed groups. However, in some situations, the OR can be a good approximation of the RR, especially when the incidence of the outcome is low.

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Complete Question:

Consistently evidence has shown a relationship over time repeated cannabis use and an experience of a psychotic episode. A prospective cohort study followed marijuana users and non-marijuana users to determine their first experience of a psychotic episode. The table below represents the data collected from the 2-year cohort study.

Psychotic Episode Marijuana Users Non-Marijuana Users

Yes                                 20                                5

No                                   480                              500

Is the OR in this study a good approximation of the RR?

a) No

b) Yes

c) Cannot Be Determined

d) OR can not be used in a a Cohort Study

Answer:

24cm

Step-by-step explanation:

So a triangle has 3 sides and it is an equilateral triangle so each side should have the same length. The perimeter is 72 cm and that means we have to divide 72 by 3 and that equals 24cm.

With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s

To calculate the probability that two people chosen at random were born during the same month of the year, we need to consider the total number of possible outcomes and the favorable outcomes.

There are 12 months in a year, so the total number of possible outcomes is 12 (one for each month).

Now, let's consider the favorable outcomes. To have two people born in the same month, we need to choose any one of the 12 months for the first person, and then the second person should also be born in the same month.

The probability that the second person is born in the same month as the first person is 1/12 since there is only one favorable outcome out of 12 possible outcomes.

Therefore, the probability that two people chosen at random were born during the same month of the year is 1/12 or approximately 0.0833 (rounded to four decimal places).

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Answer:

-2x - 10

Step-by-step explanation:

-2 x X = -2x

-2 x 5 = -10

Put them together to get:

-2x - 10

Answer:

-2(x) or (-2×x)

then you get = -2x

then you take

-2×+5 or (-2×5) you'll get = -10

last but not least you join the equation

and the answer will be

= -2x-10

Answer:

6.4 x 10²

Step-by-step explanation:

1st step: divide 5.76 by 9 which is .64

2nd step: 10^7÷10^4 = 10^7-4 or 10³

The histogram that correctly represents the set of data for the students in gymnastics class is Histogram B .

To find the histogram, first order the numbers in ascending order :

3, 4, 7, 8, 9, 10, 11, 12, 12 15, 16 , 18

Then look at the intervals and put the numbers into those intervals.

1 - 5 = 2 numbers

6 - 10 = 4 numbers

11 - 15 = 4 numbers

16 - 20 = 2 numbers

The histogram that shows this set of data is therefore Histogram B as shown attached.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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Answer:

K = 9

X = 7/4

Step-by-step explanation:

\( \frac{9(4x - 7)}{4x - 7} = k\)

\(9 = k\)

Answer:

See below  ----pick the one that you need

Step-by-step explanation:

Total cost = 21   +   21 * .06    +   21 * .15  

               =  21 ( 1 + .06 + .15)

                            = 21(1.21)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{72}}}}}\)

Step-by-step explanation:

Given data : 68 , 69 , 71 , 71 , 71 , 73 , 74 , 75 , 75 , 78

N ( total number of observation ) = 10

Finding the position of median

\( \boxed{ \sf{median = { (\frac{n + 1}{2} )}^{th \: item} }}\)

\( \dashrightarrow{ \sf{median = { (\frac{10 + 1}{2} )}^{th \: item}}} \)

\( \dashrightarrow{ \sf{median = {( \frac{11}{2}) }^{th \: item}} }\)

\( \dashrightarrow{ \sf{ median = {5.5}^{th \: item}}} \)

\( \sf{ {5.5}^{th} }\) item is the average of 5 th and 6 th items.

Now, Finding the median

\( \dashrightarrow{ \sf{median = \frac{ {5}^{th}item + {6}^{th} item}{2} }}\)

\( \dashrightarrow{ \sf{ \frac{71 + 73}{2} }}\)

\( \dashrightarrow{ \sf{ \frac{144}{2} }}\)

\( \dashrightarrow{ \sf{72}}\)

Hope I helped!

Best regards! :D

The correct answer is x = 3.292.

\(\log 5\text{x} - 2) = \log(8)\)

\((\text{x} - 2)\log(5) = \log(8)\)

\(\log(5)=0.69897\)

\(\log(8) = 0.80309\)

\(\text{x} - 2 = \dfrac{\log(8)}{\log(5)}\)

\(\text{x} - 2 = 1.29203\)

\(\text{x} =2 + 1.29203\)

\(\text{x} = 3.29203\thickapprox\bold{3.292}\)

Hence, x = 3.292 is correct.

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scientific notation to standard notation is true

8.05 times 10 Superscript 5 Baseline = 805,000

7.09 times 10 Superscript negative 6 Baseline = 0.00000709

8 times 10 Superscript 7 Baseline = 80,000,000

1.03 times 10 Superscript negative 4 Baseline = 0.000103

The right format for scientific notation is an x 10^b wherein a is no. or decimal quantity such that absolutely the cost of a is extra than or same to 1 and much less than ten or, 1 ≤ |a| < 10. b is the energy of 10 required so that the clinical notation is mathematically equal to the unique quantity.

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Answer:

C. 80 times 10 Superscript 3 baseline

Step-by-step explanation:

Answer:

x=8inches²/6+x

Step-by-step explanation:

Area Photo: 1/2 area entire ad

Area photo: 4inch*2inch= 8inch²

Area entire ad=8inch²*2=16inch²

as you can see in the photo, we can use the data to our advantage.

The area left that's not the photo is (4*x) +(x*x)+(2*x).

so that leaves us with the equation 8inch²=4x+2x+x²

8inch²=6x+x²

x(6+x)=8inch²

x=(8inch²)/(6+x)

Answer:

D. 0≤y≤5

Step-by-step explanation:

The range refers to how far on the y axis a function exists on a graph. This function starts at y=0 and ends at y=5, meaning you can find a point on the function for any  y-level between 0 and 5. So y is greater than or equal to 0, and is less than or equal to 5.

A: A function with a range of all real numbers goes both up and down infinitely, however this function does not go up and down infinitely so we can rule out A.

B: If y>0, the function would start above y-level 0 and go up infinitely, however this graph does not display that so we can rule out B as well.

C: C is the domain of the graph, which is how far left and right the function exists.

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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