In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.

There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.

To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.

Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).

the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:

8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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Answer:

you have it correct sir

Step-by-step explanation:

In programming or plotting environments, the 'axis' command is a function or method that allows you to control the properties of the coordinate axes in a plot. It is commonly used to set the limits of the x-axis, y-axis, and z-axis, as well as adjust other properties such as tick marks, labels, and axis visibility.

The 'axis' command provides a convenient way to customize the appearance of the coordinate system in a plot. By specifying the desired properties, such as the range of values for each axis, you can control the extent and scale of the plot. For example, you can set the minimum and maximum values of the x-axis to define the visible range of the data.

Additionally, the 'axis' command allows you to control other aspects of the plot, such as the presence of grid lines, the style of tick marks, and the display of axis labels. This functionality helps to improve the readability and clarity of the plot.

Overall, the 'axis' command is a versatile tool in programming and plotting environments that empowers you to customize the coordinate axes and create visually appealing plots. It offers flexibility in setting axis limits and adjusting various properties to enhance the presentation of your data.

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Answer:

I think the answer is 8 inches

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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The dimensions of the garden that minimize the cost is 3.83 and 5.74.

Lets assume the garden has length L and width W and one Length has the brick wall.

L*W = 22 (area constraint)

C = 40 * L + 20 * L + 20 * W + 20 * W

= 60 * L + 40 * W

We need the equation in terms of just one variable, lets use L. We can use the area constraint to do this

W = 22/L (plug this into the C equation)

C(L) = 60*L + 40*(22/L)

= 60*L + 880/L

C(L) = 60*L + 880/L

now take the derivative and get

C'(L) = 60 - 880/L^2

now set that derivative = 0 to find the key L value where the min/max occurs (min in this case)

0 = 60 - 880/L^2

Solve for L,

L = ± (2 sqrt(11/3))

We only need the positive answer as negative length makes no sense here,

L = 3.83 (approximate)

We can now solve for W as well

W = 22/3.83 = 5.74

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Answer:

6. 75 Students in Mrs.Reynolds class.

7. 60 Birthdays in February

8. February and May are a combined 20% of birthdays

9. March has 24% of the students birthdays

Step-by-step explanation:

6.   Adding all the numbers will give us 75 total students.

7.   450 divided by 7 will get us 6. And there are 10 birthdays in February, so we do 10 times 6 and get 60.

8.   On a calculator if you input 20% of 75 you will get 15. February and May are the only 2 birthday months that if you add them up you get 15.

9.   If you put 24% of 75 on a calculator you will get 18. March is the only month with 18 birthdays.

There is Mrs. Reynolds' class has 75 students. February has 60 birthdays. February and May account for 20% of all birthdays. In March, 24% of students celebrate their birthdays.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Mrs. Reynolds creates a graph of the number of students who have birthdays in the first half of the year.

The graph has been given in the question.

Here y-axis represents Months and the x-axis represents the Number of students

As per the given graph, the required solution would be as:

Adding all of the numbers together generates a total of 75 students.

450 divided by 7 equals 6. And there are ten birthdays in February, so multiply 10 by 6 to get 60.

If you enter 20% of 75 into a calculator, you will obtain 15. February and May are the only two birthday months that total up to 15.

If you multiply 24% of 75 by 18, you get 18. March is the only month in which there are 18 birthdays.

Thus, there is Mrs. Reynolds' class has 75 students. February has 60 birthdays. February and May account for 20% of all birthdays. In March, 24% of students celebrate their birthdays.

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To determine how long it will take to pay off a credit card balance of $1,245.00 with $50.00 monthly payments and an APR of 19%, we need to consider the interest accrued and the monthly payment.

Using the formula for the number of months it takes to pay off a balance, we can calculate the time required. The formula is given by:

Time (in months) = -(log(1 - (r * b) / p) / log(1 + r))

where r is the monthly interest rate, b is the initial balance, and p is the monthly payment.

By substituting the values into the formula, we find that it will take approximately 31 months to pay off the balance.

For the second scenario, to determine the monthly payment required to pay off a credit card balance of $2,456.80 in 2 years (24 months) at an APR of 23.99%, we need to calculate the monthly payment.

Using the formula for the monthly payment, we have:

Monthly Payment = b / ((1 - (1 + r)^(-n)) / r)

where r is the monthly interest rate, b is the initial balance, and n is the total number of months.

By substituting the given values into the formula, we find that the monthly payment required to pay off the balance in 2 years is approximately $125.64.

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The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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The probability of choosing exactly 13 students who dressed up as the 40s out of the 16 selected students is approx. 0.4334.

We can model this situation as a hypergeometric distribution, where we have a population of 19 students, 15 of whom dressed up as the 40s.

We want to choose a sample of 16 students and find the probability that exactly 13 of them dressed up as the '40s.

The probability of choosing exactly 13 students who dressed up as the 40s can be calculated:

(number of ways to choose 13 students who dressed up as the 40s) * (number of ways to choose 3 students who dressed up as other decades) / (total number of ways to choose 16 students)

The number of ways to choose 13 students who dressed up as the '40s is the number of combinations of 15 choose 13:

(15 choose 13) = 105

The number of ways to choose 3 students who dressed up as other decades is the number of combinations of 4 choose 3, which is:

(4 choose 3) = 4

The total number of ways to choose 16 students from 19 is the number of combinations of 19 choose 16, which is:

(19 choose 16) = 969

105 * 4 / 969 = 0.4334

Therefore, the probability of choosing exactly 13 students who dressed up as the 40s = 0.4334 (rounded to four decimal places)

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Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function means that for each x we get y, and no no x gives two different y-es

{(−5,−7),(−5,4),(−2,−8),(3,5)}  for x = -5 we have two different y-es therefore its not function

Answer:

4. (-5, 3.5)

Step-by-step explanation:

9/10 or 0.9

mark me brainliest if you feel like mine was helpful!! I hope that helped!

What is the quotient of 4 and 24? This is easy to answer if you know the different parts of a division problem.

Division is breaking something up into equal parts. The Dividend is the whole you start with, the Divisor is what you use to divide up the whole, and the Quotient is the answer like this:

Dividend ÷ Divisor = Quotient

So when you ask, "What is the quotient of 4 and 24?", it makes sense that 4 is the Dividend, 24 is the Divisor, and you want to know the Quotient. Thus, the answer is:

4 ÷ 24 = 0.166667

Note: The answer (quotient) is rounded up to six decimal points if necessary.

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35

Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Answer:

B: 6 units

Step-by-step explanation:

just took the test

The area of triangle GHJ is 6 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the area of triangle GHJ, we can use the formula:

Area = (1/2) x base x height

where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.

We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.

In this case,

We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).

To find the height of the triangle,

We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.

Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.

Also,

The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.

The area of triangle GHJ is:

Area = (1/2) x base x height

Area = (1/2) x 3 x 4

Area = 6 square units

Thus,

The area of triangle GHJ is 6 square units.

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After removing 60,000 grams of 5.56 ammo from the stockpile of 167 kilograms, approximately 166.94 kilograms remain.

To calculate the remaining weight in kilograms, we need to convert the weight of the stockpile to grams, subtract the removed weight in grams, and then convert it back to kilograms.

Given:

Initial weight of the stockpile = 167 kilograms

Weight of the removed ammo = 60,000 grams

Converting the weight of the stockpile to grams:

167 kilograms * 1000 grams/kilogram = 167,000 grams

Subtracting the weight of the removed ammo from the stockpile:

167,000 grams - 60,000 grams = 107,000 grams

Converting the remaining weight back to kilograms:

107,000 grams / 1000 grams/kilogram = 107 kilograms

Rounding to two decimal places, approximately 166.94 kilograms remain.

After removing 60,000 grams of 5.56 ammo from the stockpile of 167 kilograms, approximately 166.94 kilograms remain.

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Answer:

See below

Step-by-step explanation:

Length (L), volume (V), weight(W), or mass(M)

Mile     L

Cup           V

Pound   W

Centimeter L

Liter     V

Gram   M

Pint           V

Yard   L

Kilogram   M

Teaspoon  V

Milliliter    V

1. Mile

2. Cup

3. Pound

4. Centimeter

5. Liter

6. Gram

7. Pint

8. Yard

9. Kilogram

10. Teaspoon,

11. Milliliter

Three-digit odd numbers can be formed using the digits 3, 4, 5 and 6 if digits cannot be repeated is 60

What is Odd Numbers?

The definition of an odd number is a number that cannot be divided into two equal pieces. Or, to put it another way, odd numbers are positive integers that cannot be divided into sets of two. Examples include 1, 3, 5, 7, etc. Let's use footwear and cherries as an example to help us visualise it. Assume we have shoes in the following counts: 1, 3, 5, and 7. Contrarily, we have cherries that come in pairs of 2, 4, 6, and 8.

Concept:

I When it is prohibited to repeat digits: Since we must create a 3-digit odd number, the digit at the unit's location must be odd. As a result, there are three options to fill the space in the unit: 1, 3, or 5.

The tenth digit can now be filled in by any of the remaining five digits in five different ways, and the hundred place can then be filled in four different ways using the remaining four digits.

Hence, the number of 3-digit odd numbers that can be formed

= 3×4×5

= 60.

(ii) When it is acceptable to repeat digits: Once more, there are 3 options to fill the space in the unit: 1, 3, and 5, respectively. However, each of the six provided digits can be used to fill the tens and hundreds place six different ways. (since repetition is permitted)

The amount of 3-digit odd numbers that can be constructed as a result

Hence, the number of 3-digit odd numbers that can be formed

= 3×6×6

= 108

If digits cannot be repeated, a three-digit odd number can be created using the digits 3, 4, 5, and 6.

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The odds of the soccer player scoring a goal is 4. The correct option is (b).

The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.

In this case, the soccer player scored a goal 3 times out of 15 attempts.

The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).

Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.

To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:

Odds = Successful outcomes : Unsuccessful outcomes

Odds = 3 : 12

Odds = 3/3 : 12/3

Odds = 1 : 4

So, the correct answer is option b. 4.

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Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

490

472 <490<500

it fits the criteria

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

Answer:

1. 6 units

2. 24,000 newspapers

3. 6,000 bricks

4. 81 tons

5. a) 1,250 minutes or 20 hours and 50 minutes

    b) 384 meters

Step-by-step explanation:

ill include a picture of my work if u need it. sorry if its messy, it's how my brain works