Name two Acute, Vertical Angles using the figure below."

Step-by-step explanation:

These two angles are same side corresponding interior angles so they are equal to each other

\(5x + 20 = 120\)

\(5x = 100\)

\(x = 20\)

Answer:

it takes 10 ones to make a ten.

a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.

this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.

the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.

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Answer:

Step-by-step explanation:

tan 45=1

\(tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1\)

Answer:

The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h

Step-by-step explanation:

System of Equations

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

\(\displaystyle B-S=\frac{172}{3}\)

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

\(\displaystyle B+S=\frac{372}{4}=93\)

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

\(S = \frac{107}{6}\approx 17.83\ km/h\)

From [2]:

\(B = 93 - \frac{107}{6}\)

\(B=\frac{451}{6}\approx 75.17\ km/h\)

First we need to know the cost of one sweater, which will be obtained by dividing the cost of 2 sweaters between 2

then we multiply the cost per sweater by the quantity in this case 9

The cost of 9 sweaters is $86.76

No, g is not a continuous function. It is a correspondence, which is a set of ordered pairs.

A correspondence is a set of ordered pairs, which means that for each input there may be multiple outputs. In contrast, a continuous function must have a single output for each input. Therefore, g is not a continuous function because it can have multiple outputs for any given input.

A continuous function is a function that is defined for all values in its domain and range, and whose graph has no gaps or breaks in it. Continuous functions are often described as having no jumps, discontinuities, or holes in their graphs. Examples of continuous functions include polynomials, trigonometric functions, exponential functions, and logarithmic functions.

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Answer: $30

Step-by-step explanation:

isnt it just 50-20

Answer: 30

Step-by-step explanation:

Since Dianne used a 50$ note to pay and then received 20 as change it would just be 50-20=30

Answer 30

2,000,000+700,000+11,000+1,000+700+80+3

The volume of the solid figure is 704 cm³.

We have,

The volume of the cube and a right equilateral triangular prism.

Cube = side³ ______(1)

Equilateral triangular prism = (1/2 x base x height) x side _____(2)

Now,

Side = 8 cm

Height of the triangular prism = 6 cm

Base of the triangular prism = 8 cm

Substituting in (1) and (2).

Cube = side³ = 8³ = 512 cm³ ______(3)

Equilateral triangular prism

= (1/2 x base x height) x side

= 1/2 x 8 x 6 x 8

= 4 x 6 x 8

= 192 cm³ ______(4)

Now,

The volume of the solid figure.

From (3) and (4)

= 512 + 192

= 704 cm³

Thus,

The volume of the solid figure is 704 cm³.

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The given segments from the vertices to the incenter of the triangle ΔAEC

are angle bisectors.

Reasons:

The incenter of a triangle is the point of concurrency of the angle

bisectors of the triangle.

Therefore;

The segment \(\mathbf{\overline {AG}}\) bisects the angle ∠CAE

Which gives;

∠BAG ≅ ∠GAF Definition of the bisection of ∠CAE

∴ ∠GAF = ∠BAG = 22°  by definition of congruency

∠GAF = 22°

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Answer:

50%

Step-by-step explanation:

So there are 90 2 digit numbers. There are 45 2 digit odd numbers.

The probability should be 50%

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

x = 12

x = 9

Step-by-step explanation:

See picture below :)

Answer:

Okay first I'll reply to the question one. If x is 2 and there's 12x, you need to multiply 12 by 2 and the reply is 24. For the y, it's almost the same thing, you multiply 3 by 2. The final reply is 24 for x and 6 for y. For the second answer it's the same principe,  if s = 2 and in the equation is 4s, you just need to do 2 multipliate by 4. So at least, the reply is 8 for the var s. For the p, the answer is 24 because, 8 multipliate by 3 is 24. Finally for the g, you just need to multiply 4 and 16 and the reply is 64. So the final answer of your second question is 8+24+64.

Step-by-step explanation:

Answer:

A. 1

Step-by-step explanation:

Since this graph is in the form A sin (B(x+c))+d, where

Therefore, the values are

A=1/2

B=2pi

C=0

D=-3

So the period is 2pi/2pi which is 1.

Answer:

12.57m²

(please give brainliest)

Area=πr²=3.14*4=12.56m²

Answer:

16.2

Step-by-step explanation:

Add all of them p and divide by the total values. SO there are 9 values, you first add the all up and divide by 9. Easy :)

Answer:

B

Step-by-step explanation:

If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.

The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.

With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.

When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.

In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.

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The integral is convergent. To evaluate it, we use the formula for the integral of e^x, which is e^x + C. So, integrating e^-6p gives us (-1/6)e^-6p. Evaluating this from 0 to infinity, we get: (-1/6)e^-6(infinity) - (-1/6)e^0.

Since e^-6(infinity) approaches 0 as p approaches infinity, the first term becomes 0. Therefore, the integral evaluates to: (-1/6)e^0 = -1/6, So the quantity converges to -1/6.To determine whether the given integral is convergent or divergent, we need to analyze the integral: ∫[2, ∞] e^(-6p) dp.

To evaluate this integral, we first apply the Fundamental Theorem of Calculus. We find the antiderivative of e^(-6p) with respect to p, which is (-1/6)e^(-6p). Now, we need to evaluate the limit: lim (b → ∞) [(-1/6)e^(-6p)] [2, b].

When we take the limit as b approaches infinity, e^(-6p) approaches 0 because the exponent becomes increasingly negative. Thus, the integral is convergent.

To find the value of the convergent integral, we can calculate: ((-1/6)e^(-6*2)) - ((-1/6)e^(-6*∞)) = (-1/6)e^(-12) - 0 = (-1/6)e^(-12), So, the integral is convergent, and its value is (-1/6)e^(-12).

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The solution of each part of the question is given below:

a. Let C be the event that a person smokes cigars, and let S be the event that a person smokes cigarettes. The percentage of Americans who smoke either cigars, cigarettes, or both can be calculated as P(C U S), where U represents the union of two events. From the given information, P(C) = 15% and P(S) = 35%. The probability that a person smokes both cigars and cigarettes is 7%, so P(C ∩ S) = 7%.

P(C U S) = P(C) + P(S) - P(C ∩ S)

P(C U S) = 15% + 35% - 7% = 43%

So, 43% of Americans smoke either cigars, cigarettes, or both.

b. The percentage of Americans who smoke neither cigars nor cigarettes can be calculated as P(C' ∩ S'), where C' represents the complement of event C (not smoking cigars) and S' represents the complement of event S (not smoking cigarettes).

P(C' ∩ S') = 100% - P(C U S)

P(C' ∩ S') = 100% - 43% = 57%

So, 57% of Americans smoke neither cigars nor cigarettes.

c. The percentage of Americans who smoke cigars but not cigarettes can be calculated as P(C ∩ S').

P(C ∩ S') = P(C) - P(C ∩ S)

P(C ∩ S') = 15% - 7% = 8%

So, 8% of Americans smoke cigars but not cigarettes.

d. The conditional probability that a person smokes cigarettes given that he smokes cigars can be calculated as P(S | C), where S represents the event that a person smokes cigarettes and C represents the event that a person smokes cigars.

P(S | C) = P(S ∩ C) / P(C)

P(S | C) = 7% / 15% = 0.47

So, the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars is 0.47, or 47%.

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Answer:

\(A = x^2 + 12x + 36\)

Step-by-step explanation:

The new square's side can be algebraically expressed as \(x + 6\), as we know it's 6 units longer than the previous square with side length \(x\).

Therefore, its area would be:

\(A = (x + 6)^2 \text{ // Remember: } (a + b)^2 = a^2 + 2ab + b^2\\\to A = x^2 + 12x + 36\)

Answer:

y=3x+6

Step-by-step explanation:

Answer:

8.5 hrs? direct variation

Step-by-step explanation:

60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator

600/60 =10

600/70 = 8.5

and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure

Answer:

25 sin 42 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

How to find slope:

Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The actual formula for this is: (y2 - y1)/(x2 - x1).

How to find Y intercept

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Ex. 2x + 3y = 12

So you plug in 0 for x therefore it becomes:

3y = 12

so, the y intercept is 4

Let me know if this is helpful :)

Answer: 1 foot = 5/3 or 1.6666 pounds

Step-by-step explanation: to get 4 1/2 feet to one foot, you divide by 4 1/2. in this equation, 4 1/2 ft= 7 1/2 pounds. if you divide one side by 4 1/2, you also have to do the same to the other side. therefore you do 7 1/2 divided by 4 1/2 which will give you 1.6666 or 5/3.

1 foot= 5/3 pounds