Graph triangle lmn with vertices l(1,6), m(-2,4), and n (3,2) and its

image after the composition.

Rotation: 90 about the origin

Translation: (x,y) (x-3,y+2)

Answer:

Well you have a 1/8 chance to land heads 4 times in a row. So baisicly you are saying that 6/8 flips are tails, thus 2/8 are heads (simplfyed will be 1/4 or 25%).

Answer:

35/3yd

Step-by-step explanation:

Answer:

Answers are in bold (in order)

Step-by-step explanation:

For the table, the question is asking us to take our x value and put it into the equation. for example:

y = 8x +1 . if x = 0, we can write this as this

y = 8(0) + 1 -> (the brackets mean times)

8 x0 = 0. 0+1 = 1.

if we follow this rule, the values are: 1, 9, 17, 25, 33.

For the function machine, if x = 1, then we can write 1 where the x is. The function machine is telling us that 1 x3 and then -2 = y, y being a random number we don't know. 1 x 3 = 3. That means 3-2 = y . 3-2 = y. So, y = 1 when x = 1.

When x =-9 we can rewrite x as -9. That means that -9 x 3, then -2 = y.

-9 x 3 = -27.

That means that -27 -2 = y

-27 -2 = -29, so when x = -9, y = -29.

For the third part we need to work out the gradient and the equation of the table. The gradient (how much our values go up by) The gradient can be worked out by diving the change in y (our y value) by the change in x (our x value). So, if we take the first two y values, we have -2 and 8. The difference/chance between these two is 10. (-2+10=8). And for the x values, the first two x values are 0 and 1. The difference/change between these two is 1. (1-0=1.) So, all we need to do is divide these values 10/1 = 10. So our gradient is 10. That means that the first box on the function machine will be “x10” to work out the second, we simply do the first box and go from there. If our x = 1, then 1 x 10 = 10. Our table says that when x = 1, y = 8. So to we need to work out the change between these is, to get our answer. To get from 10 to 8, we minus two. So the final box on the function machine must be “-2”

For the last part of the question, we are just substituting in the values of x.

If t = 1, then 4(t-3) is basically 4(1-3)

1-3 = -2. 4(-2) = -8.

so when t =1, s = -8. If you do this for the next two questions, you should get the answers:

s = -28 when t = -4

s = -12 when t = 0

The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

The hypothesis I will test is the correlation between study time and academic performance.

In order to investigate the hypothesis, we will collect data on the study time (in hours) of a group of students and their corresponding academic performance scores. We will then analyze the data to determine if there is a statistically significant relationship between these two variables.

Mathematical Expression:

Let x represent the study time (in hours) and y represent the academic performance score. The hypothesis can be expressed as:

H0: There is no significant correlation between study time and academic performance.

H1: There is a significant correlation between study time and academic performance.

We will use statistical methods such as correlation analysis and hypothesis testing to assess the strength and significance of the relationship.

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As per the given distance, Martin was 79 kilometers from the hole when he started.

Let's call the initial distance between Martin and the hole "x". According to the problem statement, on Martin's first stroke, the golf ball traveled 4/5 of this distance. This means that the distance the ball traveled on the first stroke was:

distance traveled on first stroke = (4/5)x

After the first stroke, Martin was left with a distance of:

distance left after first stroke = x - (4/5)x = (1/5)x

On Martin's second stroke, the ball traveled 79 meters and went into the hole. This means that the total distance the ball traveled was:

total distance traveled = distance traveled on first stroke + distance left after first stroke + distance traveled on second stroke

total distance traveled = (4/5)x + (1/5)x + 79

total distance traveled = x + 79

Since the ball went into the hole after the second stroke, the total distance traveled is equal to the initial distance between Martin and the hole:

x + 79 = initial distance between Martin and the hole

Therefore, the initial distance between Martin and the hole was:

x = initial distance between Martin and the hole = (79 km)

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Answer:

2.7

Step-by-step explanation:

mean = (1 + 2 + 2 + 3 + 8 + 8)/6 = 4

absolute values of differences:

|1 - 4| = 3

|2 - 4| = 2

|2 - 4| = 2

|3 - 4| = 1

|8 - 4| = 4

|8 - 4| = 4

sum of the absolute values of the differences:

(3 + 2 + 2 + 1 + 4 + 4)/6 = 16

MAD = 16/6 = 2.7

Answer: 2.7

Answer:

Irrational, rational, rational, rational, rational.

Step-by-step explanation:

√23 is an irrational number since the value of square root 23 cannot be expressed in the form of p/q.

104.42 this is a rational number! An irrational number has repeating values or just random numbers after the decimal point.

Here's an example...

Tell, does this number look rational?

4.2359712309458730495870192354870394587234098657293085412364781236409584790853467923456790324785098234570923845702398547 (and it goes on forever...and ever...and ever......)

√64 is a rational number. As we know that √64 = 8, a rational number.

49.396 with the 6 repeating is rational because we can express 49.39 as:

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

10.97846727460 is rational because the decimal places stop, it is rational. Remember, an Irrational number is non-repeating and non-terminating. Since the number terminates, it is rational

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

Well, the edge thing said it was right.

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

just finished the thing on edge 2021

Answer:

x = 52°

Step-by-step explanation:

Exterior Angle Theorem

The interior angles of a triangle sum to 180°.  Angles on a straight line sum to 180°.  Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ x + 90° = 142°

⇒ x + 90° - 90° = 142° - 90°

⇒ x = 52°

Let us assume that,

→ x + y + 90° = 180°

Now the required value of y is,

→ y + 142° = 180°

→ y = 180° - 142°

→ [ y = 38° ]

Then the value of x will be,

→ x + 38° + 90° = 180°

→ x = 180° - 128°

→ [ x = 52° ]

Hence, the value of x is 52°.

Given the system of equations:

x + y - z = 4 eq.(1)

3x + 2y + 4z = 17 eq.(2)

-x + 5y + z = 8 eq.(3)

Add the equations 1 and 3

so,

x + y - z + ( -x + 5y + z ) = 4 + 8

x + y - z - x + 5y + z = 12

6y = 12

y = 12/6 = 2

Substitute with y at eq. (1)

So,

x + 2 - z = 4

x - z = 4 - 2

x - z = 2 eq. (4)

Substitute with y at eq.(2)

3x + 2 * 2 + 4z = 17

3x + 4 + 4z = 17

3x + 4z = 17 - 4

3x + 4z = 13 eq.(5)

solve the equations (4) and (5) together

x - z = 2

3x + 4z = 13

Multiply [ x - z = 2 ] by 4

4x - 4z = 8

3x + 4z = 13

Add the last two equations

4x - 4z + 3x + 4z = 8 + 13

7x = 21

Divide both sides by 7

x = 21/7 = 3

So, x = 3 and y = 2

Substitute with the values of x and y at the equation [ -x + 5y + z = 8 ]

So,

-3 + 5 * 2 + z = 8

solve for z

-3 + 10 + z = 8

z = 8 + 3 - 10

z = 11 - 10 = 1

So,

x = 3 , y = 2 and z = 1

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer:

QPR=22

Step-by-step explanation:

angles on straight line are supplementary

Applying the Pythagorean Theorem, the diagonal distance is calculated as: 65 cm.

In order to find the diagonal distance between A and C in the image given, recall the Pythagorean Theorem which states that the sum of the square of each leg's length of a right triangle is equal to the square of its hypotenuse.

In this case, the diagonal is the hypotenuse, therefore:

Diagonal distance = √(60² + 25²)

Diagonal distance = 65 cm

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I HOPE IT WILL HELP YOU.

Thank you.

Teddy lover❤❤

Marisa can expect to make a profit with her company as per the given information. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair.

Based on the profit analysis, Marisa can expect to make a profit with her company. The calculation and expiation are provided as follows:
Profit Calculation:

Marisa wants to make a profit of $5.00 on each pair of earrings. This means that for every pair sold, she will earn $5.00.
Cost of Repair:

Marisa has improved the quality control, resulting in only 1 pair in 50 need to be returned for repair. The cost of repairing each pair is $60.
Profit Analysis:

Let's analyze the profit situation.
  - For every 50 pairs sold, one pair will need repair, costing Marisa $60.
  - However, for the remaining 49 pairs, she will earn $5.00 profit on each, totaling $245.00 ($5.00 x 49).
  - So, the total profit from the 49 pairs will offset the cost of the one pair that needs repair.
Based on the profit analysis, Marisa can expect to make a profit with her company. The profit she earns from the 49 pairs will cover the cost of repairing the one pair that needs repair. Therefore, her company can be considered profitable.

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Step-by-step explanation:

the bowood school by 455 kids

We can expect the longest 20% of these scorpions to be above a length of approximately 2.0272 inches.

To find the value above which we could expect the longest 20% of these scorpions, we need to use the z-score formula. First, we need to find the z-score that corresponds to the 80th percentile, which is the complement of the top 20%. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 80th percentile is 0.84.

Next, we use the formula z = (x - mu) / sigma, where z is the z-score, x is the value we are trying to find, mu is the mean, and sigma is the standard deviation. We plug in the given values and solve for x:

0.84 = (x - 1.96) / 0.08

0.0672 = x - 1.96

x = 2.0272

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Answer:

Is it C. 20/29

Step-by-step explanation:

because 20 and 29 are right next to it.

To guarantee getting 3 pairs of chopsticks with different colors, at least 7 pieces of chopsticks need to be taken.

To ensure obtaining 3 pairs of chopsticks with different colors, we need to consider the worst-case scenario where we select pairs of chopsticks of the same color until we have three different colors.
The maximum number of pairs we can select from each color without getting three different colors is 2. This means that we can take a total of 2 pairs of white, 2 pairs of yellow, and 2 pairs of brown chopsticks, which results in 6 pairs.
However, to guarantee having 3 pairs of chopsticks with different colors, we need to take one additional pair from any of the colors. This would result in 7 pairs in total.
Since each pair consists of two chopsticks, we multiply the number of pairs by 2 to determine the number of chopstick pieces needed. Therefore, we need to take at least 7 x 2 = 14 pieces of chopsticks to guarantee obtaining 3 pairs of chopsticks with different colors.
Hence, at least 14 pieces of chopsticks need to be taken to ensure getting 3 pairs of chopsticks with different colors.

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In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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We are given two sets of paired observations, which we will use to calculate the sample mean difference and the standard error of the mean difference:

Sample mean difference = x1 -x2 = (214+186+182+200+210+204+187+210+190+182+215+198)/12 - (188+210+199+209+207+195+203+191+190+211+199+181)/12 = 4.75

Sample standard deviation of the differences = s = √[(Σd²)/(n-1)] where d = (x1 - x2) - (x1 - x2), and n is the number of pairs.

d1 = (214 - 188) - 4.75 = 21.25

d2 = (186 - 210) - 4.75 = -28.75

d3 = (182 - 199) - 4.75 = -22.75

d4 = (200 - 209) - 4.75 = -9.75

d5 = (210 - 207) - 4.75 = -1.75

d6 = (204 - 195) - 4.75 = 3.25

d7 = (187 - 203) - 4.75 = -20.75

d8 = (210 - 191) - 4.75 = 13.25

d9 = (190 - 190) - 4.75 = -4.75

d10 = (182 - 211) - 4.75 = -28.75

d11 = (215 - 199) - 4.75 = 10.25

d12 = (198 - 181) - 4.75 = 12.25

Σd² = 1734.875

s = √(1734.875/11) = 5.076

Standard error of the mean difference = s/√n = 5.076/√12 = 1.469

Using a t-distribution with 11 degrees of freedom and a 99% confidence level (α = 0.01), we find the t-value to be 3.106. Therefore, the 99% confidence interval for the true mean difference between the cholesterol levels for people who take the new drug is:

(4.75 - 3.106(1.469), 4.75 + 3.106(1.469))

= (0.885, 8.615)

So we are 99% confident that the true mean difference between the cholesterol levels for people who take the new drug lies between 0.885 and 8.615 mg/dL.

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Answer:

C.

Step-by-step explanation:

Alright so basically you want to get the same denominator

3/4 = 6/8

And (6/8)/(1/8) = 6

So it's 6.

Answer:

3:32

Step-by-step explanation:

You multiply the numerators and denominators.

Answer:

C

X=6

Step-by-step explanation:

7+5x-15=22

5x-8=22

5x=22+8

5x=30

X=30/5

X=6

Answer:

230

The 72nd term in the following arithmetic sequence is 230.

Step-by-step explanation:

Formula: an = a1 +(n−1)d

a1=17

n=72

d=3

a72=17+(72-1)3

Simplify.

a72=17+(71)3

a72=17+213

a72=230

The 72nd term in the following arithmetic sequence is 230.

Hope this helps!

Please mark as brainliest if correct!

Answer:

Step-by-step explanation:

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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50.24 cm is the circumference, in centimeters, of the circle whose radius is 8cm. The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary.

The circumference of a circle is referred to as its perimeter. It is the entire circle's circumference. The diameter of a circle is multiplied by the constant to determine its circumference. For someone to cross a circular park or to enclose a circle, the diameter of the circle must be known. The length is measured in the same units as the diameter, which is a linear variable. An enclosed, circular form called a circle has border points that are all equally separated from the centre. Two essential metrics of a circle are its diameter and area.

As is common knowledge, the circumference of a circle is equal to twice its radius, or r.

Given: 8 cm is the circle's radius

Circumference of circle = 2 * 3.14 * 8 = 50.24 cm

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Correct question:

Taking π=3.14, find the circumference of a circle whose radius is 8cm.

Answer:

\(y=3x^{2} -18x+15\) is the equation the quadratic as per the given conditions.

Step-by-step explanation:

Let the equation of the quadratic be:

\(y=ax^{2} +bx+c\)

Given that it has zeroes at x = 1 and x = 5 i.e. y = 0 at both the values of x.

Also passes through point (3, -12). i.e. when x = 3, y = -12

Putting x = 1, y = 0:

\(\Rightarrow a\times 1^{2} +b\times 1+c=0\\\Rightarrow a+b+c=0 ....... (1)\)

Putting x = 5, y = 0:

\(\Rightarrow a\times 5^{2} +b\times 5+c=0\\\Rightarrow 25a+5b+c=0 ....... (2)\)

Putting x = 3, y = -12:

\(\Rightarrow a\times 3^{2} +b\times 3+c=-12\\\Rightarrow 9a+3b+c=-12 ....... (3)\)

Equation (2) - Equation (1):

\(24a+4b=0\\\Rightarrow 6a +b=0 ...... (4)\)

Equation (2) - Equation (3):

\(16a+2b=12\\\Rightarrow 8a +b=6 ...... (5)\)

Equation (5) - Equation (4):

\(2a=6\\\Rightarrow a =3\)

Putting value of a in equation (4):

\(6\times 3+b=0\\\Rightarrow b = -18\)

Putting a and b in equation (1):

\(3-18+c=0\\\Rightarrow c= 15\)

So, the quadratic equation is:

\(y=3x^{2} -18x+15\)

The expression for the area bounded by r = 3 −\(cos^4θ\) is 11/8 π.

The expression for the area bounded by the polar curve r = 3 - cos\(^4\)(θ) involves integrating the square of the radius function with respect to θ over a specified range.

The square of the radius, (3 - cos\(^4\)(θ))\(^2\), represents the area of each infinitesimally small region bounded by the curve.

The integral sign (∫) indicates that we are summing up the areas of all these small regions over the given range of θ.

The 1/2 coefficient in front of the integral is necessary because the formula for the area of a polar curve involves a double-counting issue that is resolved by dividing the final result by 2.

The bounds [θ₁,θ₂] specify the range of θ values over which we want to calculate the area.

By evaluating the integral, we can find the numerical value of the area enclosed by the curve within the specified range of θ.

This integral expression allows us to calculate the area bounded by the polar curve precisely, even if the curve's shape is complex.

The result of the integration will depend on the specific values of θ₁ and θ₂ provided.

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The expression for the area bounded by r = 3 - cos4θ involves an integral over a range of θ values. This integral is difficult to solve exactly, so we can only approximate the area using numerical methods.

To find the area bounded by the polar curve r = 3 - cos4θ, we need to integrate the expression for the area element in polar coordinates, which is 1/2 r² dθ. We want to integrate this expression over the region enclosed by the curve.

To do this, we need to find the limits of integration for θ. The curve r = 3 - cos4θ traces out a full revolution for θ between 0 and π/2, so we can integrate over that range and multiply the result by 4 to get the total area.

Now we can substitute the expression for r into the area element and integrate:

A = 4 ∫[0,π/2] 1/2 (3 - cos4θ)² dθ

This integral can be solved using trigonometric identities and substitution. It turns out to be quite complex and involves elliptic integrals, which cannot be expressed in terms of elementary functions. So we can only find an approximate value for the area using numerical integration methods.

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