If 6 is added to the square of a positive number, the sum is 31. Find the number.​

The measure of a negative angle which is coterminal with the angle 180° as given in the task content is; -180°.

It follows from the task content that the negative angle which is coterminal with 180°.

On this note, it follows that the negative angle corresponds to a clockwise direction while the positive corresponds to an anticlockwise direction.

Hence, the required angle which is coterminal is; -180°.

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The ratio of Ali's age to Steve's is 2 to 1.

The sum of the ages of Steve and Ali is three times the difference of their ages.

Therefore,

let

x = age of Steve

y = age of Ali

Hence,

x + y = 3(y - x)

x + y = 3y - 3x

Therefore,

x + 3x = 3y - y

4x = 2y

divide both side by 2

4x / 2 = 2y / 2

2x = y

The ratio of Ali's age to Steve's is 2 to 1.

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Answer:

2

Step-by-step explanation:

1gr=100mg

130-100=30

No tablets should be given since the ordered quantity of 130 mg is less than the available quantity per tablet of 1 g.

We have the following data:

Ordered amount: 130 mg

Available amount per tablet: 1 g

To decide the number of tablets to be given, we have to be make sure the units are steady. Let's change over the ordered amount to grams:

130 mg = 130/1000 g = 0.13 g

Presently, we are able calculate the number of tablets:

Number of tablets = Ordered amount / Available amount per tablet

Number of tablets = 0.13 g / 1 g = 0.13 tablets

Since we cannot administer a fraction of a tablet, we round the result to the closest whole number. In this case, 0.13 is less than 0.5, so we round down:

Number of tablets to be given = tablets

Hence, no tablets ought to be given since the ordered amount of 130 mg is less than the available amount per tablet of 1 g.

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Answer:C

Step-by-step explanation:

Answer: Yes, i think. you add 0's to 58.91 -----> 58.910. 570-------->570.000. 42,769-------->42,769.000. 994.800. to line them perfectly. greatest are always on top smallest are in the bottom

The sum of numbers 58.91, 570, 42,769, 994.8 will be

⇒ 44392.71

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The number are,

58.91, 570, 42,769, 994.8

Now,

The sum of numbers 58.91, 570, 42,769, 994.8 is,

⇒ 58.91 + 570 + 42,769 + 994.8

⇒ 44392.71

Thus, The sum of numbers 58.91, 570, 42,769, 994.8 will be

⇒ 44392.71

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Answer: 7=r-67

Step-by-step explanation:

r=Rita's height

7=r-67

The volume of aggregate that she needs to build the patio is 13.18 ft^3

We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.

Rememeber that:

1ft = 12 in

Then:

4 in = (4/12) ft = (1/3) ft

Then the volume of the backyard is:

V = (14ft)*(6ft)*(1/3 ft) = 28ft^3

Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.

Note that:

4 + 4.5 = 8.5

How many times we have 8.5 in 28?

28/8.5 = 3.294

Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:

4*3.294 ft^3 = 13.18 ft^3

The volume of aggregate that she needs to build the patio is 13.18 ft^3

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The average swimming speed of Yu Yan is 0.02 miles per minute.

We are given that:

Yun Yan needs to swim 0.5 miles in the race.

She completed it in 25 minutes.

We need to find the average speed of Yu Yan in swimming in meter / minute.

We will do this by dividing the number of miles that she needed to swim with the number of minutes she took to complete it.

Average swimming speed = 0.5 miles / 25 minutes

Average swimming speed = 0.02 miles / minute

Therefore, the average swimming speed of Yu Yan is 0.02 miles per minute.

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Answer:

Answer is A. 0344

Step-by-step explanation:

46*8 - 3* 8

= 43*8

= 344

The total cost of using the old car is $4,679.29

The total cost of using the newer car is $ 8,896.25.

The total cost of using the old car: (cost of maintenance x number of years) + ( miles driven to work / miles per gallon x cost per gallon x number of weeks in a year x number of years)

 ($870 x 3) + (110 / 17 x $2.05 x 52 x 3)

$2,610 + 2069.29 = $4,679.29

The total cost of using the newer car : purchase price + (cost of maintenance per month x number of months in year x number of years) + (miles driven to work in a week / number of miles per gallon x weeks in  year x number of year)

$8000 + ($10 x 12 x 3) + (110 / 32 x 52 x 3)

$8000 + 360 + 536.25 = 8,896.25

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The surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².

It should be noted that the total surface area will be:

= b² + 2bs

where b = base length

s = slant height

Surface area = (12)2 + 2(12)(10)

Surface area = 144 + 240

Surface area = 384cm².

In conclusion, the surface area of the square pyramid when the base is 12 and slant is 10 cm is 384cm².

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Answers:

=========================================================

Work Shown:

x = smallest side

y = medium side

z = largest side

x = y-79

z = y+377

x+y+z = perimeter

x+y+z = 3064

(y-79) + (y) + (y+377) = 3064

3y + 298 = 3064

3y = 3064-298

3y = 2766

y = 2766/3

y = 922

x = y-79

x = 922-79

x = 843

z = y+377

z = 922+377

z = 1299

------------------

Summary:

x = 843, y = 922, z = 1299

Check:

x+y+z = 843+922+1299 = 3064

which matches the given perimeter, so the answer is confirmed.

Answer: Linear graph definition

Step-by-step explanation: A linear graph is a straight line that connects the x and y coordinates

Answer:

  the cost function is defined as a step function

Step-by-step explanation:

You want to know why a cost graph has steps.

In the US, current first class postage rates for appropriately sized envelopes are 60¢ for the first ounce, and 24¢ for each additional ounce.

Envelopes below a certain weight cannot be mailed, and above that minimum (up to at most one ounce), the cost will be 60¢. That is, the first step is at cost=60¢, and extends from some minimum weight up to 1 ounce at that cost.

Above one ounce -- even very slightly above, the cost is 84¢. There is no weight where the cost is 61¢ or 62¢ or any other number between 60¢ and 84¢.

For the purpose of determining cost, the weight is rounded up to the next higher ounce. This guarantees that cost values will be a discrete set of values.

The weight can take on any real value. This is reflected in the continuous horizontal line at each level of cost.

The hollow circle at 1 ounce on the second step means that the cost for one ounce is not the value of that second step. The filled circle indicates the cost for one ounce is the value of the first step. The hollow circle also indicates that weights arbitrarily close to 1 ounce, but greater, will cost the same as for 2 ounces.

__

Additional comment

The minimum weight envelope that can be mailed first class will be a function of its size. Outside a certain size and weight range, the envelope will not be "machinable," so will incur an extra charge.

Answer:

75%

Step-by-step explanation:

% = (6/8)(100) = 600/8 = 75

Hope this helps

C. 12/1 > 1 is the inequality which is true as 12/1 is 12 and 12 is obviously greater than 1.

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Inequality issues can be expressed as either questions or theorems, and both can be resolved using techniques that are similar to those used to resolve equations.

The triangle inequality, for instance, stipulates that the length of the remaining side of a triangle is more than or equal to the sum of the lengths of any two of its sides. Many of these inequalities are used in the proofs of mathematical analysis' most significant theorems.

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Answer:

34%

Step-by-step explanation:

In the sample of 300 voters, 102 said they would vote for brown. The sample statistic is just the percent given by the sample. Find the percent by dividing the voters who said they'd vote for brown by the entire sample group:

[tex]\frac{102}{300}=0.34[/tex]

Convert this to a percentage:

34%

the sample statistic for the percentage of voters surveyed who said they would vote for Brown is  34%.

we  start by divide the number of voters who said they will  vote for Brown by the total number of voters surveyed and then multiply by 100.

Number of voters surveyed (n) = 300

Number of voters who said they'd vote for Brown = 102

The Sample statistic for the percentage of voters who said they would vote for Brown:

Percentage of voters for Brown = (Number of voters for Brown / Number of voters surveyed) * 100

Percentage of voters for Brown = (102 / 300) * 100

Percentage of voters for Brown = 34%

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complete question:

The city of Raleigh has

11

,

900

11,900​ registered voters. There are two candidates for City Council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of

300

300​ randomly selected registered voters was conducted.

102

102​ said they'd vote for Brown,

195

195​ said they'd vote for Feliz, and

3

3​ were undecided.

a) Give the sample statistic for the percentage of voters surveyed who said they would vote for Brown. Round your answer to the nearest tenth of a percent.

Answer:

120

Step-by-step explanation:

consider
1st angle= a
2nd angle = b
3rd angle = c

now,
b=5a ............. equation 1
c = a+12 ........ equation 2

as we know in a triangle, sum of all angle is 180.

so
a+b+c = 180
=> a +5a + (a+12 ) = 180
=> 7a = 180-12 =168
=> a = 168/7 = 24

so a= 24
b = 5(24) = 120
c = a+12 = 24+12 =36

so b = largest = 120

Answer:

  -6 ≤ x < ∞

Step-by-step explanation:

You want the domain of the function y = √(x+6) -7.

The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.

The square root function is undefined for negative arguments, so that limits the domain of the given function:

  x+6 ≥ 0

  x ≥ -6 . . . . . domain of the given function

__

Additional comment

When the domain is written in interval notation, both the left and right ends of the interval must be specified.

  [-6, ∞)

The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.

Answer:

5/9 dydgsusg6xhsxigdsys5suxts7xysustx7s

Answer:

Mixed number - 1 1/6

Improper fraction - 7/6

Step-by-step explanation:

The goal of the question is to get you to add the 2 distances the beetle crawled together.

First you have to give the fractions the same denominator.

5/6 & 2/6 (to change 1/3 to 2/6 multiply the top and bottom by 2)

Then you simply add the numerators.

5+2/6

7/6

Since this can't be simplified anymore that is your answer.

Mixed number - 1 1/6

Improper fraction - 7/6

The number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx

Approx number of cockroaches in the year 2020 in Chandler = 3500000 or 3.5 million

Percentage decrease in cockroaches every 12 years = 18%

Percentage decrease in cockroaches every year = 18/12 = 1.5%

So, in 5 years the percentage decrease in cockroaches will be = Percentage decrease every year*No. of years = 1.5*5 = 7.5%

The number of cockroaches in 2025 will be: 3500000 - 7.5% of 3500000

= 3500000 - 7.5/100*3500000

= 3500000 - 262500

= 3237500

Hence, the number of cockroaches in Chandler in the year 2025 will be 3237500 or 3.23 million approx

Although a part of your question is missing, you might be referring to this full question: Suppose a study is completed that finds that the number of cockroaches in chandler decreases by 18% every 12 years. I’m 2020, there were approximately 3.5 million cockroaches in chandler.

Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)

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The sequence A, 1, 1/3, 1/9, 1/27  shows the similar graph decreasing from left to right. Option a is correct.

Geometric progression abbreviated as GP is type of sequence and series that has common and equal ratio between preceding values in series.

Here,

The only geometric sequence seems from observation having decreasing from left to right, that implies the curve is also decreasing from left to right is 1, 1/3, 1/9, 1/27, having common ratio of 1/3 with preceding values.

Thus, the sequence 1, 1/3, 1/9, 1/27 shows the similar graph decreasing from left to right which can be described as a curve that is decreasing from left to right.

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The amount borrowed is $87,000, the annual interest rate is 6%, the number of payments per year is 12, the loan term is 19 years, and the payment amount is $145,920.

Given that, an individual borrowed $87,000 an APR of 6%, which will be paid off with monthly payments of $640 for 19 years.

APR is annual percentage rate. APR can be found with the formula, APR = ((Interest + Fees / Principal or Loan amount) / N or Number of days in loan term)) x 365 x 100.

From the given question,

P=$87,000, R=6%, monthly payment=$640 and loan term = 19 years.

Total amount = Total number of months × Monthly payment

= 19 × 12 × 640

=$1,45,920

Therefore, the amount borrowed is $87,000, the annual interest rate is 6%, the number of payments per year is 12, the loan term is 19 years, and the payment amount is $145,920.

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Answer:

243=3^5

100000=5^5*2^5

So answer is- 3^5/5^5*2^5

Step-by-step explanation:

Hope it helps!!!

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Answer:

No, the bottle will not be empty

Answer:

Step-by-step explanation: