What is the measure of angle R?

Answer:

c

Step-by-step explanation:

Answer:

c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

Step-by-step explanation:

This set is closed under scalar multiplications. Statement 1 is false.

This set is a subspace. This statement is also false because this set does not contain a zero vector so it is not a subspace.

This set is closed under vector addition. This is false. Because let v and w be two vectors such that v=(v1,v2); w=(w1,w2).

The set contains the zero vector. Statement 4 is false because the sum of two zero vectors cannot be equal to 1.

Since v and w are vectors satisfying the condition of space so v1+v2=1;w1+w2=1

Now we check whether v+w also belongs to the same space or not.

v+w=(v1,v2)+(w1,w2)=(v1+w1, v2+w2)

We shall check whether components of v+w also add up to 1.

v1+w1+v2+w2=v1+v2+w1+w2=1+1=2

So it means that this space is not closed under addition too.

Consider a vector v=(v1,v2) from the space.

Obviously v1+v2=1

Now let us take a constant 'c'  and consider the behavior of

cv=c(v1,v2)=(cv1,cv2)

Now we check whether components of this vector add up to 1.

cv1+cv2=c(v1+v2)=c\neq 1

which clearly indicates that vectors of this space are not closed under scalar multiplication.

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The ordered pair that could be the image point is (a) (2.5,1)

From the question, we have the following parameters that can be used in our computation:

Point C = (5, 2)

This means that

C = (5, 2)

The point is dilated using the origin as a center of the origin

So, the image point is

C = k(5, 2)

Let k = 1/2

So, we have

C = 1/2(5, 2)

Evaluate

C' = (2.5, 1)

Hence, the ordered pair that could be the image point is (a) (2.5,1)

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Question

Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C(5, 2) after the dilation?

A (2.5,1)

B (5,−2)

C (7.5,4.5)

D (−1,−4)

Answer: 7/8 + 4/8 = Exact form- 11/8

                                   Decimal form- 1.375

               17/25 - 9/25 = Exact form- 8/25

                                       Decimal form- 0.32

                63/46 - 81/46 = Exact form- -9/23

Step-by-step explanation: Hope this helped.

A lab technician measures an increase in the population of 400 bacteria over the first 15-hr period [0, 15]. Estimate the value ofrthat best fits this data point,t is 26.792.


We can use the formula for exponential growth to estimate the value of r that best fits the given data point. The formula is:

N(t) = N0 * e^(rt)

where N(t) is the population at time t, N0 is the initial population, e is the base of natural logarithms (approximately equal to 2.718), and r is the growth rate.

We know that the initial population N0 is 0 (since the population at time 0 is not given), the population after 15 hours N(15) is 400, and the time interval is 15 hours. Plugging these values into the formula, we get:

400 = 0 * e^(r*15)

Simplifying, we get:

e^(r*15) = infinity

Taking the natural logarithm of both sides, we get:

r*15 = ln(infinity)

r = ln(infinity) / 15

Since ln(infinity) is infinity, we cannot calculate the exact value of r. However, we can estimate it by using a large number, say 1000, instead of infinity. Then:

r = ln(1000) / 15

r ≈ 0.184

Rounding to the nearest thousandth, we get:

r ≈ 0.183

Therefore, the value of r that best fits the given data point is approximately 0.183.


The lab technician's data shows that the population of bacteria increased by 400 over a 15-hour period. Using the formula for exponential growth, we estimated the value of r that best fits this data point to be approximately 0.183.

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Answer:

\(y=-2+6x\)

Step-by-step explanation:

\(-3y-6x= -18\)

\((-3y-6x)= -18+6x\)

\(-3y-6x+6x=6x -18\)

\(y=-2+6x\)

Answer:

B. 7b3 + 4ab + 4a2

Step-by-step explanation:

35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2  

7b3 + 4ab + 4a2

Answer:

B = 7b³ + 4ab + 4a²

Step-by-step explanation:

35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²

= 35b^5 + 20ab³ + 20a²b² by 5b²

_________________________

5b²

= 7b³ + 4ab + 4a²

Answer:

I don't see any options for inequalities, so I wrote one based on the information.

Step-by-step explanation:

We'll assume that the drinks and cake ($17) are the only items Mr. Saslow needs to purchase and that the remainder may be used on whatever extras he wants.  In this case, candy.

He starts with $32 and spends $17.  The remainder may be spent on candy (all or none).  This can be expressed as an inequality.  Let C be the cost of the candy.

  C \(\leq\) ($32 - $17)

   C \(\leq\) ($32 - $17)

  C \(\leq\) ($15)

Answer: 17.04% increase

Step-by-step explanation:

The area of a triangle is (ab)/2

The area of the new triangle is (1.33a)(0.88b)/2

= 1.1704ab/2

= 17.04% increase

Answer:

Step-by-step explanation:

you just have to go up 2 over 7,  up 3 over 5  and up 1 over 0, then connect the points

The measure of the angle I= is 50 degree

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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a) The equation of the line passing through the point (3, 2) with slope 4 is y - 2 = 4(x - 3).

b. The equation of the line passing through (4, -2) and (5,6) is y + 2 = 8(x - 4).

c) The slope of the line 6x +2y +4 is -3.

a. To derive the equation, we use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m represents the slope.

Substituting the given values into the equation, we have:

y - 2 = 4(x - 3)

This equation can be further simplified if required.

b) The equation of the line passing through the points (4, -2) and (5, 6) can be found using the slope-intercept form, y = mx + b.

First, we calculate the slope (m) using the formula: m = (y₂ - y₁) / (x₂ - x₁).

m = (6 - (-2)) / (5 - 4) = 8.

Next, we substitute one of the given points and the calculated slope into the slope-intercept form:

y - y₁ = m(x - x₁).

y - (-2) = 8(x - 4).

Simplifying the equation:

y + 2 = 8(x - 4).

c) To find the equation of the line passing through the point (3, -1) and parallel to the line 6x + 2y + 4 = 0, we first need to determine the slope of the given line.

Rearranging the equation 6x + 2y + 4 = 0, we have:

2y = -6x - 4,

y = -3x - 2.

The given line has a slope of -3.

Since parallel lines have the same slope, the line we are looking for will also have a slope of -3. Using the point-slope form with the given point (3, -1), the equation becomes:

y - (-1) = -3(x - 3).

Simplifying:

y + 1 = -3(x - 3).

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Answer:

v=p/m

Step-by-step explanation:

Divide poth side by m

So the answer will be v=p/m

Answer:

y=mx+b

Step-by-step explanation:

follow this equation

The value of z such that 0.15 of the area lies to the right of z can be found using the standard normal distribution table or a statistical calculator.

First, we need to determine the area to the left of z, which is 1 - 0.15 = 0.85. This is the area under the standard normal curve up to z.

Next, we need to find the corresponding z-score for this area. We can use the inverse normal distribution function, which is available in most statistical calculators. Alternatively, we can use the standard normal distribution table to find the value of z that corresponds to an area of 0.85.

Using the standard normal distribution table, we can look up the area 0.85 in the body of the table or the cumulative area column. The corresponding z-score is 1.04. This means that 85% of the area under the standard normal curve lies to the left of z = 1.04, and 15% of the area lies to the right of z = 1.04.

Therefore, the value of z such that 0.15 of the area lies to the right of z is z = 1.04, rounded to two decimal places. This means that if we have a standard normal distribution with a mean of 0 and a standard deviation of 1, then approximately 15% of the values will be greater than 1.04 standard deviations above the mean.

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Answer:

d-bar= ∑d/n= -0.7/ 5= -0.14

Step-by-step explanation:

Eight am             12 am             difference (8:00am- 12:00 am)= d

98.4                      98.9              (98.4-98.9=) -0.5

98.6                       99               (98.6-99=) -0.4

97.8                       97.9            (97.8-97.9=) - 0.1

97.1                       96.6             (97.1-96.6=)+0.5

97.5                       97.7              (97.5-97.7=)-0.2        

∑                                                  -0.7        

d= difference between 8 am and 12 am

First we subtract the 12.00 am times from 8:00 am times.

Then we add all the differences to get the total difference ∑d.

∑d= -0.7= total of the difference between two times.

n= number of observations=5

Putting the values in the formula would give the answer.

d-bar= d`= ∑d/n= -0.7/ 5= -0.14

Answer: Henry has a total of 3 + 5 + 4 = 12 coins in his pocket. The number of ways he can draw a dime or penny is 3 + 4 = 7. So the probability that he draws either a dime or penny is 7/12 or about 0.58.

Answer:

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

Find the amount of work in man*days and then divide the result by 20:

Hence the same work will be completed by 225 men.

Answer:

Step-by-step explanation:

Sometimes  hope that helps you and hope you pass : >

Answer:

Always

Step-by-step explanation:

- Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

- Parallel lines are congruent and so their measure will ALWAYS be the same

Answer:  160 hours

============================================================

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

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

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔUST and ΔVRQ, then we have

TU = QV (Given)

ST = QR (Given)

UV = SR

Add RU on both sides, then we have

UV + RU = SR + RU

RV = SU

The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.

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The exact value of the series ∑n=0infinitynπ^2n/(16^2n * (2n+1)!) is approximately -0.190985.

To find the exact value of the series, we need to evaluate each term and sum them up. Starting with the given expression, we have (-1)^n * π^(2n) / (16^(2n) * (2n+1)!). Breaking down each term, we have (-1)^n, π^(2n), 16^(2n), and (2n+1)!.

The term (-1)^n represents alternating signs, where it alternates between positive and negative for each value of n. The term π^(2n) represents π raised to the power of 2n. The term 16^(2n) represents 16 raised to the power of 2n. The term (2n+1)! represents the factorial of 2n+1.

By substituting the values of each term into the given expression and summing them up from n = 0 to infinity, we can approximate the value to be approximately -0.190985.

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Answer: -1

Step-by-step explanation:

Based on the given information, we can only conclude that Don Pepe needs to paint an additional 2 dam of the building,

To determine how much Don Pepe needs to paint the entire building, we can subtract the portion that has already been painted from the total height of the building.

The height of the building is given as 5.5 dam (decameters). If Don Pepe has already painted 3.5 dam, we can find the remaining portion by subtracting the painted height from the total height:

Remaining height = Total height - Painted height

Remaining height = 5.5 dam - 3.5 dam

Remaining height = 2 dam

Therefore, Don Pepe needs to paint an additional 2 dam of the building.

Decameters (dam) is a unit of length, and painting typically involves covering a two-dimensional surface area. To determine the surface area that needs to be painted, we need additional information such as the width or perimeter of the building's walls.

If we assume that the width or perimeter of the building is constant throughout, we can use the formula for the surface area of a rectangular prism:

Surface area = Length × Width × Height

Without information about the width or perimeter, it is not possible to calculate the exact amount of paint needed to cover the remaining height of the building.

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Note the translated question is:

Don Pepe must paint a building 5.5 dam high if he already painted 3.5, how much does he need to paint the entire building?

Step-by-step explanation:

inequalities follow basically the same rules as equalities (ahem, equations). for creation and calculation.

you just indicate whole areas above or below given lines.

behind every inequality is a "normal" equation that defines the delimiter.

the question already tells us which variables to use.

x = number of hot dogs

y = number of peanuts (I guess, bags of peanuts)

he wants to buy at least 4 snacks.

hmmm.

what would you do, if the question asked us :

he wants to buy 4 snacks.

what did you learn from the previous questions ?

the equation would be

x + y = 4.

but now it asks us about "at least" 4 snacks. so every solution, 4 or more, is valid. not only 4.

so, the inequality is

x + y >= 4

and he has $20 to buy these snacks.

again, with equations we would have said

3x + 2y = 20

remember, a hot dog costs $3, a bag of peanuts costs $2. so, every single hot dog and every single bag of peanuts brings itself into the cost calculation with that amount.

x hot dogs cost $3x. y bags of peanuts cost $2y.

but here, we are now flexible. he can spend $20, but he does not have to fully exceed his budget. he can also spend less.

so, the inequality is

3x + 2y <= 20

together these inequalities now describe the situation that he cannot spend more than $20, but he can spend as little as he wants, as long as he gets at least 4 snacks.

all combinations of x and y values that satisfy these conditions are valid solutions.

the actual solution would be then more complex, as the real life scenario gives us more constraints :

0 <= x <= 6 (because with more than 6 hot dogs alone he would already bust his budget).

0 <= y <= 10 (after buying 10 bags of peanuts the $20 are gone).

that eliminates the negative value solutions that the basic 2 equations would allow.

The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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