There were 90 runners just start a race in the first half of the race 1/3 of them dropped out in the second half of the race 1/5 of the remaining runners dropped out how many runners finished a race

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

<95141404393>

Answer: 6x + 2y

Step-by-step explanation: 4y-2y are both alike terms, so you subtract the two, and then add 6x to it

Answer:

2y+6x

Step-by-step explanation:

4y + 6x - 2y

rewrite the equation

4y - 2y + 6x

subtract 4y from 2y

2y+6x

Answer:

To find the area of the shaded region, we need to find the area of the sector formed by the shaded angle and subtract the area of the triangle formed by the radius and the two radii at the endpoints of the shaded angle.

The area of the sector can be found using the formula:

Area of sector = (θ/360) x πr²

where θ is the central angle in degrees and r is the radius of the circle.

Here, θ = 130 degrees and r = 21 cm.

Area of sector = (130/360) x π x 21²

= 2471.39 cm²

Next, we need to find the area of the triangle. We can find the height of the triangle using trigonometry.

sin(130 degrees/2) = h/21

h = 21 x sin(65 degrees)

h ≈ 18.12 cm

The base of the triangle is the length of the arc that forms the shaded angle. We can find this length using the formula:

Length of arc = (θ/360) x 2πr

Length of arc = (130/360) x 2π x 21

= 38.81 cm

The area of the triangle is:

Area of triangle = 0.5 x base x height

= 0.5 x 38.81 x 18.12

= 351.70 cm²

Finally, we can find the area of the shaded region by subtracting the area of the triangle from the area of the sector:

Area of shaded region = Area of sector - Area of triangle

= 2471.39 - 351.70

= 2119.69 cm²

Therefore, the area of the shaded region is approximately 2119.69 cm².

Answer:

Option 3

Evens

. . . . . .. . ..

The simplified form of the exponent simplified answer to (2/3)² is 4/9.

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

The expression can be illustrated thus:

= (2/3)²

= 2/3 × 2/3.

= 4/9

The value is 4/9.

Learn more about exponents on:

brainly.com/question/13669161

#SPJ1

Answer:

x=1.26186

Step-by-step explanation:

There's an Algebra Calculator called Algebra Papa.

Answer: a

Step-by-step explanation:

Answer: 65

Step 1: Multiply and add until you get 49.

11 x 4 = 44.

44 + 5 = 49.

Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26,       26 : 49.

7 x 3 = 21.

21 + 5 = 26.

Step 3: Add 26 and 49.

26 + 49 = 65

Answer:

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.

Answer:

i think its 37

Step-by-step explanation:

cause it is less

The side lengths are classified as follows:

1. Cannot represent a triangle.

2. Cannot represent a triangle.

3. Can represent a triangle.

4. Cannot represent a triangle.

5. Can represent a triangle.

6. Cannot represent a triangle.

7. Cannot represent a triangle.

8. Cannot represent a triangle.

9. Cannot represent a triangle.

10. Cannot represent a triangle.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Item 3 represents a triangle, as:

19 + 15 = 34 > 20.

(the same is true for item 5).

For the remaining items, we have that the sum of the two smaller lengths are less than the larger length, hence they cannot represent a triangle.

More can be learned about triangles at brainly.com/question/1058720

#SPJ1

Answer:

-7

Step-by-step explanation:

Remember Pemdas

1. Parenthesis

2. exponents

3. multiplication

4.division

5. addisiton

6. subtraction

So, first do the parentheses first and since 3x8 comes first do that which it will be 24 and then subtract 24-7= 17

When you get this we then have to divide it is whatever comes first for multiplication or division from left to right we have to do first and in this case 34divded by 17 which is 2.

The next step is multiplying 2x3 which gives us 6

and now we start from beginning again which is 1 minus 2 which gives use  - 1 and we subtract again -1 subtract in other words now add which gives use negative -7 as our final number

-7

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

Answer: 5

Step-by-step explanation: just did test

Answer:

7 pounds + 80% =12.6 pounds

Step-by-step explanation:

math lol

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

For similar question on transmitter.

https://brainly.com/question/29221269  

#SPJ8

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

Read more about rational zero theorem at; https://brainly.com/question/17003818

#SPJ1

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

ALU: arithmetic logic unit

Step-by-step explanation:

ALU is the part of a computer processor (CPU) that carries out arithmetic and logic operations on the operands in computer instruction words

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

Learn more about the equation of the parabola on https://brainly.com/question/4074088

#SPJ1

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ1

No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

Learn more about water and sugar mixture at:

https://brainly.com/question/8910704

#SPJ1

Answer:

a. \(3^{7}\)

b. \(2^{-8}\)

c. \(3^{-8}\)

Step-by-step explanation:

It's pretty simple. Just keep dividing till you get your answer (which is above)

The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

Learn about simultaneous equation at: https://brainly.com/question/16863577

#SPJ1

The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

Learn more about exponent at

https://brainly.com/question/5497425

#SPJ1

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

For similar question on nominal rate.

https://brainly.com/question/28971185  

#SPJ8

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

Learn more about graph here:

https://brainly.com/question/25184007

#SPJ1

Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30  

         *2    *2

x + 8 = 60

   -8     -8

x = 52