can someone please help me :)

Answer:

alternate interior angle

Step-by-step explanation:

Answer:

\( a_n = 2n \)

Step-by-step explanation:

Given sequence is: 2, 4, 6, 8,.....

Here, a = 2, d = 4 - 2 = 2

To find: \( a_n\)

\(a_n = a + (n - 1)d \\ \\ \therefore \: a_n = 2 + (n - 1)2\\ \\\therefore \: a_n = 2 + 2n -2\\ \\\therefore \: a_n = 2n \\ \\\)

As a result, the triangle QRS has a surface area of **10√(58) square units**.

Define triangle area.

The total area that is bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to half the height times the base, or A = 1/2× b × h Triangle area is measured in square units, such as m² cm², in², and so forth

Triangle QRS's area can be calculated using the triangle's area formula. The equation is:

Area equals 1/2*base*height

where base and height refer to the triangle's base and height, respectively.

By utilizing the distance formula to calculate the sides' lengths, we can determine the triangle QRS's base and height. The formula for distance is:

(d) = √((x2 - x1)² +√ (y2 - y1))²

where d is the separation between (x1, y1)'s points and (x2, y2).

This formula allows us to determine that:

- The QR is long √(29)

√(10) is the length of RS.

is the length of QS √(20)

The base can be the length of QS, and the height can be the length of QR. Therefore, there are:

Area = 1/2 × base× height

    = 1/2 × √(20) * √(29)

    = 1/2 × √(580)

    = 10√(58)

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The four times the sum of the complement and the supplement of a 72° is 504°.

Now, as per the given question;

The given angle is 72°.

By the definition of complement angle;

72° + complement of 72° = 90°

complement of 72° = 90° - 72°

complement of 72° = 18°

Now, by the definition of supplement angles;

72° + supplement of 72° = 180°

supplement of 72° = 180° - 72°

supplement of 72° = 108°

Sum = complement of 72° + supplement of 72°

Sum = 18° + 108°

Sum = 144°

Four times the sum

4xSum = 4×144° = 504°.

Thus, the four times the sum of the complement and the supplement of a 72° is 504°.

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Answer:

D' = (1, 3)

T' = (-5, 3)

Q' = (-5, -9)

E' = (1, -9)

Step-by-step explanation:

To flip the house along a line going southwest-northeast through the center of the property, we can reflect the points across the line y = -x.

To reflect a point across a line, we can use the formula:

(x', y') = (xcos(2θ) + ysin(2θ), ycos(2θ) - xsin(2θ))

where θ is the angle between the x-axis and the line of reflection.

In this case, the line of reflection is y = -x, which has an angle of 45 degrees with the x-axis. Therefore, we have:

cos(2θ) = cos(90) = 0

sin(2θ) = sin(90) = 1

So the formula simplifies to:

(x', y') = (-y, -x)

Using this formula for each of the four corners of the house, we get:

D' = (-(-1), -(-3)) = (1, 3)

T' = (-(5), -(-3)) = (-5, 3)

Q' = (-(5), -(9)) = (-5, -9)

E' = (-(-1), -(9)) = (1, -9)

Therefore, the coordinates of the corners after the flip are:

D' = (1, 3)

T' = (-5, 3)

Q' = (-5, -9)

E' = (1, -9)

I hope this helps, I'm sorry if it didn't. I hope you do good on your test. If you need more help, ask me! :]

Answer: c on edge

Step-by-step explanation:

just finished

Answer:

112.5 inches

Step-by-step explanation:

Answer:

Rewrite as

3x(x-y) -p[-(x-y)]

We factored out a minus from the second bracket. I chose the second bracket arbitrarily... You can chose the 1st bracket if you want.

Now when those two minus interact... They became Positive(From rules of sign Multiplication)

3x(x-y) + p(x-y)

Now factor out (x-y) from both

(x-y) [ 3x + p]

So that's our answer!!

(x-y)[ 3x + p ].

Transformation involves changing the form of a function. The transformations are:

vertical translation 1 unit up .

horizontal translation 5 units left.

The functions are given as:

f(x) = 8x

g(x) = \(8^{x+5}\) + 1

Start by translating the function 5 units left.

The rule of this translation is:

f'(x) = f(x+5)

So, we have:

f'(x) = 8(x+5)

Next, translate the function 1 unit up

The rule of this translation is:

f"(x) = f'(x) + 1

∴ f"(x) = 8(x+5) + 1

Rewrite as:

g(x) = 8(x+5) + 1

Hence, the transformations are: vertical translation 1 unit up  and horizontal translation 5 units left

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Transformation involves changing the form of a function. The transformations are:

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

The functions are given as:

f(x) = 8x

g(x) =  + 1

Start by translating the function 5 units left.

The rule of this translation is:

f'(x) = f(x+5)

So, we have:

f'(x) = 8(x+5)

Next, translate the function 1 unit up

The rule of this translation is:

f"(x) = f'(x) + 1

∴ f"(x) = 8(x+5) + 1

Rewrite as:

g(x) = 8(x+5) + 1

Hence, the transformations are: vertical translation 1 unit up  and horizontal translation 5 units left

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The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

720

Step-by-step explanation:

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

The initial Velocity of that object would be zero.

Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. When gravity first exerts a force on an object, its initial velocity defines how quickly the object moves.

They are three initial velocity formulas:

(1) If time, acceleration, and final velocity are provided, the initial velocity is articulated as u = v – at

(2) If final velocity, acceleration, and distance are provided we make use of u² = v² – 2 as

(3) If distance, acceleration, and time are provided, the initial velocity is

s = ut + 1/2at²

Where,

Initial velocity = u,

Final Velocity = v,

time taken = t,

distance travelled or displacement = s,

acceleration = a

From the third formula of velocity

s = ut + 1/2at²

If u = 0

then s = 1/2at²

=> at² = 2s

=> t² = 2s/a

=>t = \(\sqrt{2\frac{s}{a} }\)

Which is the same as the given equation

therefore, That object's initial velocity would be zero.

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer

The temperature at an altitude of 8,000 feet is 44° F

SOLUTION

Problem Statement

The question tells us that air temperature drops by 4 degrees Fahrenheit for every 1,000 feet above sea level. We are asked to calculate the temperature at 8,000 feet, close to the summit of Guadalupe Peak.

Solution

To solve this question, we simply compute the temperature changes for each 1,000 increase in height and then generalize. With the generalization, we can find the temperature at any height.

The temperature at 0 feet is 76°F (At sea level)

The temperature at 1,000 feet is 76°F - 4°F = 72° F

The temperature at 2,000 feet (2 x 1,000 feet) is 76°F - 4°F - 4°F (76°F - 2 x 4°F)

The temperature at 3,000 feet (3 x 1,000 feet) is 76°F - 4° F - 4° F - 4° F (76° F - 3 x 4° F)

And so on.

We can see a pattern developing and with this pattern, we can make a generalization about the temperature decrease for every increase in altitude.

Thus, we can solve the question by substituting n = 8 for an altitude of 8,000 feet. This is done below:

8 x 1000 feet = 8,000 feet is:

Final Answer

The temperature at an altitude of 8,000 feet is 44° F

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days

Answer:

So 4 ÷ 1/5 = 4 × 5. So your answer is 5.

Answer:

6743÷110 = 67.43÷1.1........... thanks

Answer: It is not possible to convert 3 c to mL without a conversion factor. There are several different units of measurement for volume, including cubic centimeters (cc), milliliters (mL), and cubic meters (m^3). To convert from one unit to another, you need to know the conversion factor.

The conversion factor between cubic centimeters (cc) and milliliters (mL) is 1:1, meaning they are equivalent units of measurement. So, 3 cc is equal to 3 mL.

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation:

the mean is 7.25. the median is 7. so, the difference is 0.25.

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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9514 1404 393

Answer:

  C.  -√(x+6) -2

Step-by-step explanation:

The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.

The ranges of the offered answer choices are ...

  A. y ≥ -3

  B. y ≥ -2

  C. y ≤ -2 . . . . . matches that of the given function

  D. y ≤ -3

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The monthly payment is ​$453.125.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

Given;

Amount Financed (P) = $15,000

Annual Percentage Rate (R) = 5%

Number of Payments per Year (N) = 12

Time in Years (T) = 3

Now, monthly payment;

=(p*i*(1+i)^n)/((1+i)^n-1)

=15000(0.05/12)(1+0.05/12)^36/(1+0.05/12)^36-1

= 72.5/0.16

=453.125

Therefore, the monthly payment by 5% interest will be $453.125.

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Th two-way relative frequency table has been attached at the end of the solution. The relative frequencies were obtained by dividing each frequency by the total number of students (325).

Frequency refers to the number of times that a particular event or value occurs within a specific dataset or sample. In statistics, frequency is often used to represent the distribution of values in a dataset, and it can be displayed using tools such as frequency tables, histograms, or frequency polygons.

90 students are in a club and play a sport.

140 total students play a sport.

Therefore, 140 - 90 = 50 students play a sport but are not in a club.

The total number of students who play a sport is 140 + 50 = 190.

200 total students are in a club.

Therefore, 200 - 90 = 110 students are in a club but do not play a sport.

The total number of students who do not play a sport is 325 - 190 = 135.

The relative frequency of students who play a sport and are in a club is 90/325 = 0.277.

This table tends to show the proportion of students in each category and how they overlap with the other category. For example, we can see that 27.7% of the students play a sport and are in a club, while 15.4% of the students do not play a sport but are in a club. We can also see that 21.5% of the students play a sport but are not in a club, while 35.4% of the students do not play a sport and are not in a club.

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Answer:

Y=a*b^x

If xponent is a variable

Step-by-step explanation:

Answer:

To find the height of the building, we can use the following formula:

height = y(d-x)/x

Substituting the given values, we get:

height = 6(6-3)/3

height = 6(3)/3

height = 6 meters

Therefore, the height of the building is 6 meters.

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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The regression equation is  mathematically given as

\(\=Y = 5 + 0.3 X\)

This is further explained below.

The line is passing through (0, 5) and (15, 10).

Generally, the equation for Slope  is  mathematically given as

\(S=\frac{ (10 - 5)}{(15 - 0) }\)

Therefore

S= 5/15

S= 1/3

S= 0.3

Intercept = 5

In conclusion,Regression equation:

\(\=Y = 5 + 0.3 X\)

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Answer:

Step-by-step explanation:

4 2/3 = 14/3 x 3/3 = 42/9. 42/9 + 7/9 = 49/9. 49/9 = 5 4/9

42/9