Two angles are supplementary if their measures add up to 180°. If one of two supplementary angles is (3x + 7)° while the other is (5x - 11), then x =
A.25
B.21
C.24
D.20
E.23

9514 1404 393

Answer:

  (x, y, z) = (49, 58, 122)

Step-by-step explanation:

The same-side exterior angles have a sum of 180°.

  (x +9) +(3x -25) = 180

  4x -16 = 180

  x -4 = 45

  x = 49

Vertical angles are congruent:

  y = 49 +9 = 58

  z = 180 -y = 122 = 3(49) -25

The values of x, y, and z are ...

Answer:

13

Step-by-step explanation:

assuming you mean -39 dived by -3

when you divide them you get 13 and the 2 negatives cancel out

Answer:

\({\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}\)

\( \frac{ - 39}{ - 3} \\ = \frac{39}{3} \\ = 13\)

✏ The quotient = 13.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

Answer: C

Step-by-step explanation:

Just go 2 units up on the grid and one to the left

Answer:

(3,6)

Step-by-step explanation:

First, find the coordinate of the school. The school is at (4,4).

Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!

The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

7 17/99

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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There is a positive relationship between income and the percentage of adult college graduates. This relationship is not deterministic and can vary across different contexts and populations.

Yes, there is generally a positive relationship between income and the percentage of adult college graduates in a given population. As income levels increase, the percentage of adults who have completed college tends to increase as well. This relationship can be observed across countries, within countries, and across different demographic groups.

One reason for this relationship is that higher levels of education tend to lead to higher paying jobs and greater economic opportunities. As a result, individuals with college degrees may be more likely to earn higher incomes and to have greater financial stability.

However, this relationship is complex and can be influenced by a variety of factors, including the type of degree earned, the field of study, and the overall economic climate.

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To prove the existence of a subspace U of V such that the projection operator P can be represented as PU, we can use the properties of the projection operator and the fundamental theorem of linear algebra.

Given that P^2 = P and every vector in null P is orthogonal to every vector in range P, we know that V can be decomposed into the direct sum of range P and null P. This means that for every vector v in V, there exist unique vectors u in range P and w in null P such that v = u + w. By defining U as range P, we have V = U ⊕ null P. Since every vector in null P is orthogonal to every vector in range P, the sum of U and null P is direct.

Now, consider the action of P on an arbitrary vector v in V. Since v = u + w, where u is in U and w is in null P, applying P to v yields P(v) = P(u + w) = u. Thus, P can be represented as PU, where U is the subspace defined as range P. Therefore, we have proven that there exists a subspace U of V such that P can be represented as PU.

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Answer:

Step-by-step explanation:

Answer:

11. should be A  12 is good 14 is C

Step-by-step explanation:

Answer:

\(y = 2 \: cos \: (\frac{1}{3} x)\)

option C is the right option.

Explanation:

General expression of a cosine function is:

y=A cos k X

where A is amplitude and 2 pi/k is its period.

In our case,

\( - y = 2 \: cos \: (\frac{1}{3} x) \:\)

has :

\(amplitude = 2 \\ period = 2\pi \times 3 = 6\pi\)

hence, the right answer is of option C

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Volume

V = B * h

B = 1/2 a * b

Solution

Area of Triangles = B = 1/2 * 6 * 8

Area of Triangles = B = 24 square inches

Volume = B * H

Volume = 24 * 12

Volume = 288 cu in

Surface Area

Triangles

Area of one triangle = 24 square inches [ See Above ]

Area of two triangles = 48 square inches

Left Side

Area = L * W

L = 12

W = 8

Area = 12 * 8

Area = 96

Right side

Area = L * W

L = 12

W = 6

Area = 12 * 6

Area = 72

Area Back

L = 12

W = 10

Area = 12 * 10

Area = 120

Total = 120 + 72 + 96 + 48 = 336 square inches

Answer:

19:15

Step-by-step explanation:

We know that 1 m = 100 cm = 1000 mm.

So 3 m = 3000 m.

So the ratio is

\(3800:3000\\=38:30\\=19:15\)

The probability that out of 5 randomly selected such fans, at least 4 will last for at least 20,000 hours is 0.057.

To calculate this probability, we can use the binomial probability formula. The formula is P(x) = C(n,x) * p^x * q^(n-x), where P(x) is the probability of getting exactly x successes, n is the number of trials, p is the probability of success on each trial, q is the probability of failure on each trial, and C(n,x) is the combination of n items taken x at a time.

In this case, we want to find the probability of getting at least 4 successes out of 5 trials. So we can calculate the probability of getting 4 successes and the probability of getting 5 successes, and then add them together.

Assuming the probability of a fan lasting for at least 20,000 hours is 0.15, the probability of getting 4 successes is C(5,4) * (0.15)^4 * (0.85)^1 = 0.032. The probability of getting 5 successes is C(5,5) * (0.15)^5 * (0.85)^0 = 0.025.

Therefore, the probability of at least 4 fans lasting for at least 20,000 hours is 0.032 + 0.025 = 0.057.

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Answer:

\(y=x+3\)

Step-by-step explanation:

Using Point-Slope form: Y-y1=m(X-x1)

Slope(m) = 1, Point(x1,y1) = (-2,1)

y-1=1(x+2)

y=x+2+1

y=x+3

:]

(ps. Brainliest would be greatly appreciated lol)

Step-by-step explanation:

1.given gradient (slope) make formula of straight line

\(y = 1x + c\)

2.substitute in y and x values in order to work out c

\(1 = 1( - 2) + c\)

\(c = 3\)

3. equation of line is

\(y = 1x + 3\)

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer: x=1

Step-by-step explanation:

x - 4 -5 = -8      combine like terms on the left side

x - 9 = - 8      Add 9 to both sides

    +9    +9

x = 1

Answer: \(x=1\)

Answer:

3.8

Step-by-step explanation:

Hey! Let's start by assuming that these are all normal courses, and that GPA is given by the following scale:

A - 4.0

B - 3.0

C - 2.0

D - 1.0

F - 0.0

That said, this question really just involves calculating the averages.

To find the average, we add all the values together and divide the sum by the total number of values.

Therefore, our expression would look like:

(4.0 + 4.0 + 4.0 + 4.0 + 3.0)/5

This is because there are 5 total values.

Simplify:

19/5

3.8

This means your GPA would be 3.8

Answer:

The correct answer is a 3.8 GPA.

Step-by-step explanation:

Hey there!

The GPA scale is the scale that is used to apply grades to a cumulative grade point average. This allows for grades to be numerically represented as a culmination of your high school career.

A GPA is determined using the following scale:

Your GPA is determined by finding out how many GPA points you have earned overall by using an additive operation.

If you have 4 A's, you can multiply 4 by the number of GPA points that are associated with a grade of 'A' on the GPA scale.

\(4 \times 4 = 16\)

Since you earned a B, you would then add 3 points to the product you just received.

\(16 + 3 = 19\)

Then, you will divide this total by the number of courses taken.

\(\displaystyle \frac{19}{5} = 3.8\)

Therefore, your final GPA is a 3.8 on a 4.0 GPA scale.

This answer was calculated on the assumption that each course was equivalent to one credit.

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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Answer:

x = 15

Step-by-step explanation:

3x-7=x+23

Subtract x from each side

3x-x-7=x-x+23

2x -7 = 23

Add 7 to each side

2x-7+7 = 23+7

2x = 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

x=15

Step-by-step explanation:

3x-x=23+7

2x=30 divide by 2

x=15

Answer: B

Step-by-step explanation:-2^2 is the only negative number, 2^-2 is the only fraction, anything to 0th power equals 1, and (-2)^2 equals 4.

Answer:

The answer is B

Step-by-step explanation:

Let's solve:

(-2)^2= 4

2^0= 1

2^-2= 1/4

-2^2= - 4

Least to greatest is

-4, 1/4, 1, 4

Look back at the original equations and place them to get her with the answers to equal B

Answer:

B

Step-by-step explanation:

Answer:

\(x=\sqrt{26}-4,\:x=-\sqrt{26}-4\)

Step-by-step explanation:

\(x^2+8x=10\)

Write this equation in the form of: \(x^2+2ax+a^2=\left(x+a\right)^2\)

Solve for a:

\(2ax=8x\)

\(\frac{2ax}{2x}=\frac{8x}{2x}\)

\(a=4\)

Add \(a^2=4^2\) to both sides:

\(x^2+8x+4^2=10+4^2\)

\(\left(x+4\right)^2=26\)

\(x+4=\sqrt{26}\)

\(x+4-4=\sqrt{26}-4\)

\(x=\sqrt{26}-4\)

\(x+4=-\sqrt{26}\)

\(x+4-4=-\sqrt{26}-4\)

\(x=-\sqrt{26}-4\)

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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Tina can mulch the garden alone in 25 minutes.

Let's use the formula for the work rate to solve the problem. If William can mulch the garden alone in 20 minutes, his work rate is 1/20. Similarly, let's assume that Tina can mulch the garden alone in x minutes, so her work rate is 1/x.

When they work together, their work rates add up, so we have:

1/20 + 1/x = 1/11

Now we can solve for x:

1/x = 1/11 - 1/20

1/x = (20 - 11) / (11 x 20)

1/x = 9 / 220

x = 220 / 9

x ≈ 24.4

So it would take Tina 24.4 minutes to mulch the garden alone.

However, we need to round this up to the nearest minute because you can't have a fraction of a minute. Therefore, Tina can mulch the garden alone in 25 minutes.

Alternatively, we can use the inverse formula for the work rate to solve for Tina's time alone:

1/20 + 1/t = 1/11

1/t = 1/11 - 1/20

1/t = (20 - 11) / (11 x 20)

1/t = 9 / 220

t = 220 / 9

t ≈ 24.4

So Tina can mulch the garden alone in 24.4 minutes, which rounds up to 25 minutes.


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Rounded to one decimal place, the new forecasted trend for the current period is 31.3.

To calculate the new forecasted trend for the current period using exponential smoothing, we need the current observed value (33), the previous forecasted value (31), and the smoothing constant (β) of 0.15.

Exponential smoothing assigns a weight to the previous forecast and combines it with the current observed value to generate a new forecast. The formula for exponential smoothing is:

New Forecast = (1 - β) * Previous Forecast + β * Current Observed Value

Substituting the given values, we can calculate the new forecasted trend:

New Forecast = (1 - 0.15) * 31 + 0.15 * 33

           = 0.85 * 31 + 0.15 * 33

           = 26.35 + 4.95

           = 31.3

Exponential smoothing is a forecasting technique that assigns more weight to recent observations while considering past forecasts. The smoothing constant, β, determines the rate at which the influence of past forecasts diminishes as new observations become available. In this case, with a β value of 0.15, the new forecast is closer to the current observed value compared to the previous forecast, reflecting a higher sensitivity to recent data.

It's important to note that exponential smoothing assumes a relatively stable trend and does not account for other factors or seasonality that may impact the forecast. It is a simple method that can be useful for generating short-term forecasts based on recent trends, but it may not be suitable for all forecasting scenarios.

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the function f(x) = sin(x) evaluated at a = 0 represents the derivative of the given limit, lim h→0 cos(h)/h.

we can use the limit definition of the derivative which states that the derivative of a function at a point is equal to the limit of the difference quotient as h approaches 0. In other words, if f(x) is a differentiable function, then

f'(a) = lim h→0 (f(a+h) - f(a))/h

Now, let's look at the given limit:

lim h→0 cos(h)/h

We can rewrite this limit as

lim h→0 [cos(h) - 1 + 1]/h

= lim h→0 [(cos(h) - 1)/h + 1/h]

Using L'Hopital's rule, we can evaluate the first term in the limit:

lim h→0 (cos(h) - 1)/h

= lim h→0 -sin(h)

= 0

Therefore, the given limit is equal to

lim h→0 cos(h)/h = 0 + 1/0

which is undefined.

However, if we consider the function f(x) = sin(x) evaluated at a = 0, then we know that

f'(0) = lim h→0 (f(0+h) - f(0))/h

= lim h→0 (sin(h))/h

= 1

This means that the derivative of f(x) = sin(x) at a = 0 is equal to 1, which is not the same as the given limit.

the function f(x) = sin(x) evaluated at a = 0 represents the derivative of a different limit, not the given limit lim h→0 cos(h)/h.

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We can't say much about the relationship between angles three and four, or about their exact measurements.

Based on the information provided, we know that:

- Angle three is equal to 5 times +15, which can be simplified as 5(15) = 75.
- Angle four is equal to 10 X in 150, which means that 10 X = 150 - angle four.
- We don't have enough information to solve for X or to determine the exact measures of angles three and four.

However, we can make some observations:

- Angle three is a multiple of 15, which suggests that it may be a special angle in some way (e.g. a multiple of 30 or 45 degrees).
- Angle four is complementary to some other angle (since 150 degrees is the complement of 30 degrees). This means that if we knew the measure of the other angle, we could solve for X and then find the measure of angle four.

Overall, without more information, we can't say much about the relationship between angles three and four, or about their exact measurements.

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