Find the distance of the line segment below.



___ units

The investment amount at 9% rate is $12500 and the investment

amount at 2% rate is $15500

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let x be the amount invested at 9% rate.

And (28000−x) be the amount invested at 2% rate.

The total annual income is $1435

Let us find the amount invested at 9% rate:

x9%+2%(28000−x)=1435

9%+2%(28000−x)=1435

0.09x+0.02(28000−x)=1435

0.09x+560−0.02x=1435

0.09x−0.02x=1435−560

0.07x=875

x=875/0.07

x=12500

Let us find the investment amount at 2% rate:

⇒28000−x

⇒28000−12500

⇒15500

Therefore, the investment amount at 9% rate is $12500 and the investment amount at 2% rate is $15500.

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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:

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: The answer is C

Step-by-step explanation: Bro I'm in 8th grade rn and I know the answer XD my IQ is 137 :)

Answer:b

Step-by-step explanation:becuase -2x times 6x = -12x

then your done with that part so then multiply 7x7 and that's 49 so its

-12x+49

Answer: 7=r-67

Step-by-step explanation:

r=Rita's height

7=r-67

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:

5

Step-by-step explanation:

3x-7

=3×4-7

=12-7

=5..........

The seconds that it will take the rock hit the ground at the base of the cliff is 5 seconds

Based on the information given, it should be noted that the expression given is:

y = -16t² + 4t +380

We have to divide through by 4. Therefore,

y = -4t² + t + 95

y = -4t² + 20t - 19t + 95

y = -4t(t - 5) - 19(t - 5)

t - 5 = 0

t = 0 + 5

t = 5

The time taken will be 5 seconds.

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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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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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The perimeter of the floor is found to be 62 feet.

A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°).

Now, as per the given question;

The area of the rectangular floor is given as two hundred thirty-nine and one-fourth square feet.

Thus,

A = 239.25 feet

The width is fourteen and one-half feet.

Thus,

W = 14.5 feet

The formula for area is;

A = L×B  (L is the length)

Put the values;

239.25 = L×14.5

L = 239.25/14.5

L = 16.5 feet

The rectangular perimeter is;

P = 2(L + B)

P = 2(16.5 + 14.5)

P = 62 feet

Therefore, the perimeter of the rectangle floor is found to be 62 feet.

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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:

Aiden got the question wrong because he added four squares instead of four columns. Aiden confused 0.4 with 0.04, using 4 ones instead of 4 tens.

Im sorry if this is confusing i hope it helped :)

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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Based on the fact that there are three leftover packs, the part of the 5-pound pack of nails that you have is 5/6

To find the part of the full 5-pound pack of nails that you have, you need to add up all the fractions of the leftovers that you have.

The part of the full 5-pound pack that you have is:
= 1/4 + 1/ 4 + 1/3

= 3/12 + 3/12 + 4/12

= 10/12

In the simplest term, this is:

= 5/6

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Answer:

I think the answer would be the letter b

Answer: Brody's Age is 19 and Trinity's age is 11

Step-by-step explanation:

x = Trinity's age

2x-3= Brody's age

The sum of the ages is 30, so

x + (2x-3) = 30

3x - 3 = 30

add 3 to both sides 30 turns into 33 so,

3x = 33

divide by 3 both sides

x = 11 which is trinity's age and plug x  into 2x - 3 which is 19 so that's Brody's age.

Answer:

Step-by-step explanation:

Combination of two inequalities above:

Or interval notation:

The slope of the linear function shown in the graph is of 2, as:

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, we want to find the slope given two points of the function, which are (2,4).

For the calculation, we have that:

Hence:

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Answer:

No, the bottle will not be empty

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:

Step-by-step explanation:

The simplified form of 4.5p (2 - 0.2p) is option A 9p - 0.9p²

Given,

The expression: 4.5p (2 - 0.2p)

We have to simplify the expression:

A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement.

They are different in a way that extends the distinction between expressions and equations. Either equations or expressions can be simplified. Making the math language simpler entails shortening it. Finding the value or values that make the equation, or math sentence, true, is the process of solving.

That is,

4.5p (2 - 0.2p)

Open the bracket and do the multiplication:

(4.5p × 2) - (4.5p × 0.2p)

= 9p - 0.9p²

That is, the simplified form of the expression 4.5p (2 - 0.2p) is 9p - 0.9p².

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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:C

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation

17

-6

=11

if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:

56mi - 8mi = 48mi

Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:

D = 48mi/6 = 8mi

This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

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