∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by: the vertical angle theorem. the alternate interior angles theorem. the reflexive property. None of these choices are correct.

Answer:

Moscow

Step-by-step explanation:

In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.

Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).

The temperatures provided for the cities are as follows:

Moosonee: -1.5°C

Cold Lake: -4.5°C

Anchorage: -9.5°C

Moscow: -1°C

To determine which city is warmer, we compare the temperatures.

The higher the temperature, the warmer the city.

Moscow has the highest temperature of -1°C.

Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.

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Answer:

1.25 gallons of pure water

Step-by-step explanation:

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets.

0.80 d + 0.20w = 15 gallon

Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets.

0.60d + 0.40w = 5 gallon

0.80 d + 0.20w = 15 ....... Equation 1

0.60d + 0.40w = 5 ......….. Equation 2

Using elimination method

Multiply Equation 1 with 0.60

Multiply Equation 2 with 0.80

We eliminate d

0.80 d + 0.20w = 15 × 0.6

0.60d + 0.40w = 5 × 0.8

=

0.48d + 1.2w = 9....... Equation 4

0.48d + 3.2w = 4..... Equation 5

Subtract Equation 5 from 4

= - 2.0w = -5

w = -5/-2

w = 2.5 gallons.

Hence: 2.5 gallons/2

= 1.25 gallons.

Therefore, Manny adds 1.25 gallons of pure water.

Answer:

Commom Sense

Step-by-step explanation:

Dude It Is Common Sense Which Ever Fruit She Likes Shen Will Buy It. Haha Lol Don't You Know That?!

To calculate the company's annual holding cost, we need to multiply the annual average inventory by the holding cost per unit.

First, we need to calculate the annual average inventory. The formula for the average inventory is (Q/2), where Q represents the order quantity.

Given:

Annual requirements (Demand) = 7500 units

Ordering cost = BD 12

Order quantity (Q) = 150, 300, 45000 (Assuming these are different order quantities)

Holding cost per unit = BD 0.5

For each order quantity, we can calculate the annual average inventory using the formula (Q/2). Then, we multiply the average inventory by the holding cost per unit.

For order quantity Q = 150:

Average Inventory = Q/2 = 150/2 = 75 units

Holding Cost = Average Inventory * Holding cost per unit = 75 * 0.5 = BD 37.5

For order quantity Q = 300:

Average Inventory = Q/2 = 300/2 = 150 units

Holding Cost = Average Inventory * Holding cost per unit = 150 * 0.5 = BD 75

For order quantity Q = 45000:

Average Inventory = Q/2 = 45000/2 = 22500 units

Holding Cost = Average Inventory * Holding cost per unit = 22500 * 0.5 = BD 11250. Now, we sum up the holding costs for each order quantity:

Annual Holding Cost = BD 37.5 + BD 75 + BD 11250 = BD 11362.5 Therefore, the company's annual holding cost is BD 11362.5.

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Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

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Answer:

22, 25, 28

Step-by-step explanation:

10 + 3 = 13

13 + 3 = 16

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28.

all numbers go up by three points

When it is evaluated, the expression 0 to 2 f(2x) dx has a value of -6.

Making a replacement is one way that we might find a solution to the problem that was brought to our attention. Let u = 2x, then du = 2dx. When we substitute u for x, we need to figure out the new integration constraints that the system imposes on us so that we can work around them. When x = 0, u = 2(0) = 0, and when x = 2, u = 2(2) = 4. Since this is the case, the new limits of integration are found between the integers 0 and 4.

Due to the fact that we now possess this knowledge, we are able to rewrite the integral in terms of u as follows: 0 to 2 f(2x). dx = (1/2)∫ 0 to 4 f(u) du.

As a result of the fact that we have been informed that the value for 0 to 4 f(x) dx equals -12, we are able to put this value into the equation in the following way:

(1/2)∫ 0 to 4 f(u) du = (1/2)(-12) = -6.

As a consequence of this, we are able to draw the conclusion that the value of 0 to 2 f(2x) dx is -6.

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Answer: 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)\)

Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

Question 17

The slope is 1 and the y-intercept is 1.

Question 18

The slope is -3/5 and the y-intercept is 1.

Answer:

17: A

18: B

Step-by-step explanation:

17: this is because there are only 2 positive graphs and only A has the y intercept of 1

18: there are only 2 negative graphs and only B has an intercept of 1

The orthocenter of the ΔABC is ( -1,5 ).

In a right triangle, the orthocenter is the polygonal vertex of the right angle. When the triangle's vertices and orthocenter are joined, any point becomes the orthocenter of the other three points, according to Carnot (Wells 1991). These four locations thus form an orthocentric system.

Given the  co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).

To find the orthocenter using below steps:

1. First, we find the equations of AB and BC.

The general form of a line is y = mx + b

where m is the slope and b is the y-intercept.

Using the formula of slope given \($m =\frac{y_2 - y_1}{x_2 - x_1}\)  , we will find the slope of AB and BC.

Now, slope of AB is m = (7-3/-1 + 3)  

i.e. m = (4/2) = 2

Putting this 'm' in the general form and using the point B(-1, 1), we get the y-intercept as,

y = mx + b

1 = 2 × (-1) + b

i.e. b = 3.

So, the equation of AB is y = 2x + 3.

Also, slope of BC is m=(3-7/3+1)  i.e. m=-4/4 i.e. m--1

Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,

y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.

So, the equation of BC is y = -x.

2. We will find the slope of line perpendicular to AB and BC.

When two lines are perpendicular, then the product of their slopes is -1.

So, slope of line perpendicular to AB is \(m*2=-1\)  i.e. m = -1/2

So, slope of line perpendicular to BC is  i.e.\(m*-1=-1\) i.e. m = 1.

3. We will now find the equations of line perpendicular to AB and BC.

Using the slope of line perpendicular to AB m=-1/2 i.e.  and the point opposite to AB

i.e. C(3, 3), we get,

y = mx + b

i.e. \(3=-1/2*3+b\)  

i.e. b = 9/2

So, the equation of line perpendicular to AB is

\(y=-x/2+9/2\)

Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC

i.e. A( -3,3 ), we get,

y = mx + b

i.e. 3 = 1 × -3 + b

i.e. b = 6.

So, the equation of line perpendicular to BC is y = x+6

4. Finally, we will solve the obtained equations to find the value of (x, y).

As, we have y = x + 6 and  y = -x/2 + 9/2

This gives, y = -x/2 + 9/2 → x + 6

y = -x/2 + 9/2

simplifying the above equation, we get

2x + 12 = -x + 9

3x = -3

x = -1.

So, y = x + 6

simplifying the above equation, we get

y = -1 + 6

y = 5.

The value of x = -1 and y = 5.

Hence, the orthocenter of the ΔABC is ( -1,5 ).

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Answer:

u=−4w+9

Step-by-step explanation:

u−5=−4(w−1)

u=−4(w−1)+5

u=−4w+4+5

u=−4w+9

​

Answer: The answer is 9! I hope this helped you

Answer:

\(yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you\)

Answer:

yes, because 3+7 is equal to 10

Step-by-step explanation:

Answer:

probability of recovering exactly 3 pages of homework = 35/286

Step-by-step explanation:

She carries seven pages of math homework and six pages of English.

Thus, total pages = 7 + 6 = 13 pages.

Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.

There are a total of 7 pages of maths homework from the question.

Thus,

First page = 7/13

Second page = 6/12

Third page = 5/11

So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286

Answer:

x=11,-4

Step-by-step explanation:

Answer:

x= -44/7

Step-by-step explanation:

-7x=10+34

-7x=44

-7x/7=44/-7

x=-44/7

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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The cost for each ton of sugar being transported increase by $1200.

The slope of the line is equal to 800.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (2800 - 1200)/(2 - 0)

Slope (m) = 1600/2

Slope (m) = 800.

Based on the y-intercept is the initial cost and it is located at data point (0 1200), which represent the increase in cost for each ton of sugar being transported.

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Answer: choices 1, 4, and 5.

Step-by-step explanation: uhhhh the answers basically explain why. 1 because it's a terminating decimal, 4 because it's a repeating number, and 5 because the square root of 11 is not a perfect square, and is not a repeating or terminating decimal.

The short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear production function:

q = f(l, k) = 8l + 2k

Here the value of k is not given, so we are assuming the value of fixed input k is 150

q = 8l + 2(150)

q = 8l + 300

Differentiate the above function with respect to l

Marginal product of labor = dq/dl = 8

Thus, the short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8

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Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

The correct answer is A) Domain: (-∞, ∞) Range: [0, ∞).the range is [0, ∞), indicating that y can take any value greater than or equal to zero.

The given function is y = -5x^2, For the domain, since there are no restrictions or limitations on the input x, the domain is all real numbers, represented as (-∞, ∞), indicating that x can take any value from negative infinity to positive infinity.

For the range, notice that the coefficient in front of x^2 is -5, which is negative. This means that as x increases or decreases, the value of y will be negative. However, the range is not (-∞, 0) because the function is not defined for any negative value of y.

Instead, the range includes zero and all positive values. Hence, the range is [0, ∞), indicating that y can take any value greater than or equal to zero. Therefore, the correct answer is A) Domain: (-∞, ∞) Range: [0, ∞).

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Answer:

\( {.2}^{4} = .0016\)

Answer:

Step-by-step explanation:

0.2^4 is

0.2 x 0.2 x 0.2 x 0.2  =

0.04 x 0.04 =

0.0016

Step-by-step explanation: Anytime you want to operate fractions like that you need them to have the same denominator. You can get that easily if the denominator is presented as the product of its factors, like in your problem.

Answer:

B

Step-by-step explanation:

Answer:

The domain is: (-∞,∞)

The range is: (0,∞)

Step-by-step explanation:

Answer:

The domain of y = x2 is

✔ all real numbers

The range of y = x2 is

✔ y >= 0

Step-by-step explanation: Hope this helps!

Answer: y=-4x+1

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:

4x+y=1

(4x+y)-4x=1-4x

y=1-4x

y=-4x+1