Vertical angles are supplements of each other
a. sometimes
b. always
c. never

Answer:

640 more boxes

Step-by-step explanation:

The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

To get down safely without breaking the rope, a criminal who wants to escape from the third storey window of a jail, by going down a rope to the road below and has a mass of 75 kg while the rope can only support 65 kg without breaking can use the following method :Step-by-step explanation:

Calculate the acceleration produced by the criminal and find the maximum tension the rope can withstand.

According to Newton's second law, F = ma .Frictional force (f) acts upward and it opposes the weight of the criminal. Therefore, F = mg - f. If the criminal is accelerating downwards at a constant rate, a, the tension in the rope (T) is given by T = m(g - a).

If a is positive, then the tension in the rope is greater than mg and the rope breaks.

If a is negative, then the tension in the rope is less than mg and the rope is safe.

Let's assume that the tension in the rope is just equal to the breaking point.

Then:65*9.81 = 75* a + 65 *9.81a = 6.74 m/s^2

The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

This means that he should create additional friction by wrapping the rope around his legs, to increase the force of friction acting upwards. By doing this, he will decrease the net force acting downwards and thus reduce his acceleration.

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The equation in slope-intercept form that corresponds to this table is y = x + 2.

In order to write the equation in slope-intercept form that corresponds with a given table, one should follow the following steps;

Determine the slope of the line by selecting any two points from the tableSubstitute the slope, and the coordinates of one of the points into the slope-intercept formulaSimplify the equation to its slope-intercept form

The slope-intercept formula is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept of the line.

The y-intercept is the point at which the line crosses the y-axis.The table below shows the x and y values for a given data: x y 1 3 2 4 3 5 4 6To determine the slope of the line,

we can select any two points from the table and apply the formula for slope, which is: Slope = change in y/change in x or (y2 - y1)/(x2 - x1)Let's choose points (1,3) and (2,4):

Slope = (4 - 3)/(2 - 1) = 1/1 = 1Now, we substitute the slope value and one of the points into the slope-intercept formula and solve for b.

We can choose any of the points, but let's use (1,3):y = mx + by = 1x + b3 = 1(1) + bb = 3 - 1 = 2The value of b is 2. Now that we have both m and b, we can write the equation in slope-intercept form:y = mx + by = 1x + 2y = x + 2

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View this :

I think this is your answer.

Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

5(x + 6) + 11 = 25 - 3x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

5(-2 + 6) + 11 = 25 - 3(-2)

5(4) + 11 = 25 + 6

20 + 11 = 25 + 6

31 = 31

Answer:

x=-8

Step-by-step explanation:

5x+30+11=

5x +41= 25-3x

5x+ 41-25= 25-25-3x

5x+16=3x

5x-5x= 3x-5x

16=-2x

16/-2=x

-8=x

Answer: 0.616

Step-by-step explanation:

Adds up

Answer:

Domain {-1, 2, 8}

Range {3}

Step-by-step explanation:

This relation is displayed as a mapping diagram.

The inputs (domain) are in the left circle and the outputs (range) are in the right circle.

The domain is {-1, 2, 8}. They are on the left side of the two circles.

The range is {3}. It is on the right side of the two circles.

Hope this helps.

Answer:

3 blue fish

Step-by-step explanation:

3/5 = 60%, 3-1=2, 3 blue fish, 2 red fish

The number of blue fish in the aquarium is given as 5.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The percent of blue fish in the aquarium is 60%.

Suppose the number of blue fish is x.

Then the number of red fish is x - 1.

As per the question the following equation can be formed  for the given case,

60% of (2x -1) = x

=> 60/100(2x - 1) = x

=> 120x - 100 = 100x

=> 120x - 100x = 100

=> 20x = 100

=> x = 5

Hence, the number of blue fish in the aquarium is 5.

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Answer:3x+y=23

Step-by-step explanation:

Answer:

x=-1/3y+23/3

Step-by-step explanation:

Let's solve for x.

y−2=−3(x−7)

Step 1: Flip the equation.

−3x+21=y−2

Step 2: Add -21 to both sides.

−3x+21+−21=y−2+−21

−3x=y−23

Step 3: Divide both sides by -3.

−3x/-3=y-23/-3

x=-1/3y+23/3

Answer:

ok

Step-by-step explanation: i explain wait for sometime

The expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is n.

To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we can use the principle of geometric distribution. The geometric distribution is a probability distribution that represents the number of trials required to obtain the first success in repeated Bernoulli trials where each trial has a constant probability of success.To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we have to first determine the probability of finding the first glove. Since the drawer has an infinite number of gloves, the probability of finding a left glove or a right glove is 1/2. Thus, the probability of finding the first glove is 1. Now, we have to find the probability of finding the matching glove of the first glove. The probability of this is 1/n, where n is the total number of gloves in the drawer. Thus, the probability of finding both the left glove and the right glove is given by the product of the probability of finding the first glove and the probability of finding the matching glove. This is given by 1 x 1/n or 1/n. Therefore, the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is given by the formula E(X) = 1/p, where p is the probability of finding both the left glove and the right glove. Thus, E(X) = 1/(1/n) = n.

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Answer:

Alan: 80%

Ben: 62.5%

Step-by-step explanation:

5/8 = 0.625 x 100 = 62.5 = 62.5%

Answer:

[tex]y = - \frac{1}{4} x + 6 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex](6 - ( - 2 \times \frac{1}{4} )) = 6 \frac{1}{2} [/tex]

Answer:

[tex]y=-3x[/tex]

Step-by-step explanation:

We want to write the equation for a line that has a slope of -3 and passes through (-1, 3).

So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Let's let (-1, 3) be (x₁, y₁) and let's substitute -3 for m. This yields:

[tex]y-3=-3(x-(-1))[/tex]

Simplify:

[tex]y-3=-3(x+1)[/tex]

Distribute on the right:

[tex]y-3=-3x-3[/tex]

Add 3 to both sides. So, our equation is:

[tex]y=-3x[/tex]

And we're done!

The area of the training field is 6621 square meters.

1. Determine the area of the rectangle:

  Area of a rectangle = length × width

  Area of the rectangle = 87 m × 54 m = 4698 square meters

2. Determine the area of one semicircle:

  The radius of the semicircle is half the width of the rectangle, which is 54 m / 2 = 27 m.

  Area of a semicircle = (π × radius²) / 2

  Area of the semicircle = (π × 27 m × 27 m) / 2 = 729π square meters

3. Determine the combined area of two semicircles:

  Since there are two semicircles, the combined area is 2 times the area of one semicircle.

  Combined area of the two semicircles = 2 × 729π square meters = 1458π square meters

4. Determine the area of the training field:

  Area of the training field = Area of the rectangle + Combined area of two semicircles

  Area of the training field = 4698 square meters + 1458π square meters

5. Approximate the value of π:

  π is an irrational number, but we can use an approximation of π as 3.14 for calculation purposes.

6. Substitute the value of π and calculate the final area:

  Area of the training field ≈ 4698 square meters + 1458 × 3.14 square meters

  Area of the training field ≈ 4698 square meters + 4579.32 square meters

  Area of the training field ≈ 6621.32 square meters

Therefore, the area of the training field is approximately 6621 square meters.

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The probable question may be:

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 87 m long and 54 m wide. find the area of the training field.

Answer:

Step-by-step explanation:

We are told that  Jeanette uses 18 square inches of paper for each card, for us to get the number of square inches she will need to make 150 cards, we will use the equality operation;

18 in² = 1 card

x in² = 150 cards

cross multiply

x * 1 = 18*150

x = 2700 in²

Convert 2700 in² to feet²

Since 1in² = 0.00694444ft²

2700in² = x

cross multiply

x = 2700 * 0.00694444

x = 18.749988ft²

Hence she will] need 18.749988ft²  to make 150 cards

Answer:

[tex]4x - 9 < 5x - 2[/tex]

Answer:

thousand =599,000

ten thousand=600,000

hundred thousand =600,000

Step-by-step explanation:

You can download free off google Calculator Soup

Its a rounding numbers calculator

598,500----8 is your thousands place , number to the right of it is 5 or higher you make it 9,000

598,000 .....9 your ten thousands place ....number to the right of it is 5 or higher it goes up one makinf it 600,000

598,500.... 5 is your hundred thousand place... again number to the right is 5 or higher ....it again is 600,000

Answer:

p(d) can range from $30 to $120

p(d) = 30 + 10(d-1)

Step-by-step explanation:

$30 first day

$10 for every following day that he rents snowshoes

in the formula, you would subtract 1 day for the $30 first day rent and multiply the amount of days after that by $10

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

False

Step-by-step explanation:

These two rectangles are not similar because the corresponding sides can’t be written in proportion to each other.

Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

scss

Copy code

x  |  CDF(X<=x)

---|-----------

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

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Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in your 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-7-5}{6-2}[/tex]

[tex]m=\frac{-12}{4}[/tex]

[tex]m=-3[/tex]

The height of the tree is h = 40 ft.  We can set up a proportion based on the similarity of the triangles formed by the man and the tree.

To find the height of a tree given the length of its shadow and the height and shadow length of a man, we can use similar triangles. By setting up a proportion, we can solve for the height of the tree.

Let's consider the given information: the height of the man is y = 5 ft, the shadow length of the man is x = 7 ft, and the shadow length of the tree is b = 56 ft. We can set up a proportion based on the similarity of the triangles formed by the man and the tree:

y/x = h/b

Substituting the given values, we have:

5/7 = h/56

To solve for h, we can cross-multiply:

7h = 5 * 56

7h = 280

Dividing both sides by 7, we get:

h = 40

Therefore, the height of the tree is h = 40 ft.

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The tree shown below casts a shadow 56 feet long when a man 5 feet tall casts a shadow 7 feet long. Find the height h of the tree. (Let y = 5 ft, x = 7 ft, and b = 56 ft.) ft h = h x  

Answer:

because both result in the equation 10x=1000

Step-by-step explanation:

beacuse of cross multiplication, your gonna find that they are the same

Answer:

D

Step-by-step explanation:

Answer:

i dont understand what you're trying to say but 16 * 25 = 400

The cross-price elasticity of demand for B is 1.5. Let the initial price of product B be P and the initial quantity demanded be Q. Therefore the initial price and quantity demanded are P= 20 and Q = 400 respectively.

The final price of product B is P’ = 20+4 = 24 and the final quantity demanded is Q’= 600 units. This rightward shift of the demand curve for B is caused by an increase in the price of product A.

Therefore, we can say that the cross-price elasticity of demand for B is equal to;Percent change in Quantity demanded of B. Percent change in the price of A= (Change in quantity demanded of B / Average quantity demanded of B) / (Change in the price of A / Average price of A)Putting in the values we get;= [(600-400) / (600+400)/2] / [(24-20) / (20+24)/2]= (200 / 500) / (4 / 22)= 1.5Conclusion:The cross-price elasticity of demand for product B is 1.5.

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Answer:

30 degrees/ An Acute Angle (If I'm wrong please comment on my answer)

Step-by-step explanation: