How many miles are equivalent to 800 meter

Answer:

A,E

Step-by-step explanation:

A    The minimum number of pages read was 24.  The smallest number is the dot on the left side which is at 24

E    The mean is the middle line in the box, this is at 48

Answer:

15/8 o 17/8 o 1.875

Step-by-step explanation:

just because

The probability of a royal flush in a 5-card hand is 1/649740 or 0.0001539%.

The combination is a way of selecting a smaller number of sets from a larger number of sets in no particular order.

If selecting r items from a set of n items, in no particular order, we use combinations, using the formula:

nCr = n!/{r!(n - r)!}.

In the question, we are asked the probability of a royal flush in a 5 card hand.

The number of ways of selecting 5 cards from a deck can be computed using a combination, 52C5, as we have 52 cards in a deck, 5 cards are to be chosen and the order is not in concern.

52C5 = 52!/{5!(52 - 5)!} = 52!/(5!.47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2598960.

The number of hands that make a royal flush is only 4. 4 from each suit.

Therefore, the probability = 4/2598960 = 1/649740 or 0.0001539%.

Therefore, the probability of a royal flush in a 5-card hand is 1/649740 or 0.0001539%.

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Answer:

A, the other person was correct

Step-by-step explanation:

The polynomial functions is graphed below is f(x) = (x+ 4)(x- 2)².

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

There are three components that make up a function: a set of inputs, a set of outputs, and a rule that links the elements of the input set to the elements of the output set so that each input is paired with exactly one output.

We have a graph for polynomial function.

We know that the function of graph have solution where the graph touches or passes the x axis.

Here from the graph at x = -4 and at x= 2 the touches and moves upward.

So, the factors of polynomial are (x+ 4) and (x- 2).

Thus, the polynomial function is f(x) = (x+ 4)(x- 2)².

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We have to find the equation of a line fo which we know two points, using the point-slope form.

The point-slope let us write the equation of the line knowing the value of the slope m and the coordinates of one point (x0,y0) of the line:

We use the two known points to calculate the slope m:

Using the point (-1,7), we can write the equation as:

Answer: From the options, the right ones are:

y-7=-1(x-(-1))

y-4=-1(x-2) --> this one would have been used if we picked the point (2,4) instead of (-1,7)

y=-x+6

9) Vertically opposite angles

10) Supplementary angles

11) Vertical angles

12) Linear pair angles

13 Supplementary

14.vertically

9) The given angles, a and b are formed on the opposite side of the intersection of two lines.

Therefore, the relationship between angles a and b is; a and b are vertically opposite angles.

Vertical angles are angles formed by two lines when they cross, and they are located on opposite relative to each other

10) The given angles are located on the same line and together form a straight line, therefore, they are linear pair angles

Linear pair angles are supplementary, therefore;

The relationship between angles a and b is that they are supplementary angles.

11) Angles b and the 79° angle are vertically opposite angles

From vertical angles theorem, angles that are vertically opposite angles are always congruent.

Therefore;

‹b is congruent to the 79° angle, which gives;

\( \angle b = 79^{\circ} \)

12) Angles b and the 49° angle are linear pair angles

linear pair angles are supplementary, therefore;

b + 49° = 180°

b = 180° - 49° = 121°

b = 121°

13) The 2•x angle and the 64° angle are supplementary angles, therefore;

2•x + 64° = 180°

2•x = 180° - 64° = 116°

x = 116°/2 = 58°

x = 58°

14) The (1 + 2•x)° and the 73° angles are vertically opposite angles, therefore;

(1 + 2•x)° = 73°

(2•x)° = (73 - 1)° = 72°

x = 72°/2 = 36°

x = 36°

15) (x + 2)° and 134° are linear pair angles, therefore;

(x + 2)° + 134° = 180°

(x + 2)° = 180° - 134° = 46°

x = 46° - 2° = 44°

x = 44°

16) 61° and (1 + 3•x)° are vertically opposite angles, therefore;

61° = (1 + 3•x)°

3•x° = (61 - 1)° = 62°

x = 62°/3 = 21°

x = 21°

17) The given angles are complementary angles, therefore;

6•x + 1 + 2•x + 1 = 8•x + 2 = 90°

8•x + 2 = 90°

8•x = 90° - 2

x = 88°

18) The given angles are complementary angles, therefore;

4•x + 3 + 35 = 90°

4•x = 90°- 38° = 52°

4•x

Therefore;

x = 52°/4 = 13°

x = 13°

Based on the instructions given, the next step would be to subtract 40 to the current number.

Initial number: 5.

Subtract 40: Assuming we start with the number 5, subtracting 40 would give us -35.

Subtract 5: If we take the result from step 2 (-35) and subtract 5, we would have -40.

At this point, the current number is -40. The next step you provided is "A - Subtract 40

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Answer:

Answer: selling price is 63000

Step-by-step explanation:

Farmer bought seeds of ₹45000

Farmer bought fertilizers of ₹5000

Farmer spent on transportation₹25000

Total c.p. of crops is ₹52500

He got a profit of20%

Selling price =?

S.p. =20/100*52500

=10500

S.p.=c.p.+profit

=52500+10500

=63000

500 grams is approximately equal to 1.1023 pounds  ( rounded to four decimal places )

The conversion factor to convert grams to pounds is 0.00220462

1 gram = 0.00220462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in grams × conversion factor

Substitute the values in the equation

1 gram = 0.00220462 pounds

500 grams =  500 × 0.00220462

Multiply the numbers

= 1.1023 pounds  ( rounded to four decimal places )

Therefore, 250 grams is 0.5511 pounds

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Answer:

0.0008228 to standard form =

8.228 x 10^-4

25.13274122.

....................

The simplified form of the expression after multiplying by the common denominator (x - 1)³(x + 1) is 5x + 2(x + 1)³(x + 1)C + 2(x - 1)³(x - 1)B. This form represents the partial fraction decomposition using the cover-up method for the given expression.

To decompose the rational expression, 5x/(x³ - x) + 2/(x - 1)³, into partial fractions using the cover-up method, we follow these steps:

Step 1: Factorize the denominator of the rational expression. In this case, x³ - x can be factored as x(x - 1)(x + 1).

Step 2: Write the decomposition in the form A/(x - a) + B/(x - b) + C/(x - c), where A, B, and C are constants to be determined, and a, b, and c are the distinct linear factors of the denominator.

Step 3: Multiply the entire expression by the common denominator (x - 1)³(x + 1) and simplify to obtain the form 5x + 2(x + 1)³(x + 1)C + 2(x - 1)³(x - 1)B.

Step 4: Apply the cover-up method by setting x equal to each distinct factor of the denominator and solving for the corresponding constant. By setting x = 1, we can determine the value of A, and by setting x = -1, we can determine the value of C.

Step 5: Simplify the expression by substituting the obtained values of A, B, and C back into the decomposition.

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Answer:

c) 1

Step-by-step explanation:

Answer:

- 5/12

Step-by-step explanation:

It's pretty much reciprocal.

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A sheet of plywood measuring 4 feet by 8 feet and weighing 46.2 pounds belongs to Mr. Ashton.

The weight of the sheet of plywood in the unit square foot is given as,

⇒ 46.2 / (4 x 8)

⇒ 1.44375

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood is given as,

⇒ 1.44375 x 14.5

⇒ 20.93 pounds

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.

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Given:

In a right angle triangle, the measure of exterior angle is \((9x+16)^\circ\).

The measure of opposite interior angle is \((5x-14)^\circ\).

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

\((9x+16)^\circ=90^\circ+(5x-14)^\circ\)

\((9x+16)^\circ=(5x+76)^\circ\)

\(9x+16=5x+76\)

Isolate the variable x.

\(9x-5x=-16+76\)

\(4x=60\)

\(x=\dfrac{60}{4}\)

\(x=15\)

The value of x is 15. So, the measure of the exterior angle is:

\((9x+16)^\circ=(9(15)+16)^\circ\)

\((9x+16)^\circ=(135+16)^\circ\)

\((9x+16)^\circ=151^\circ\)

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

The probability that the box is a winner is 0.0001.

The steps to calculate the probability that your box is a winner are as follows:

P(winner | rattles) = P(rattles | winner) * P(winner) / P(rattles)

P(winner | rattles) = (1/1000000) * (1) / (1/100)

P(winner | rattles) = 0.0001

So the probability that the box is a winner is 0.0001.

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the arc length of the sector is 7.85 meters.

The circumference is define for a circle is given by the formula:

C = 2πr

where C is the circumference, π is the value of pi, and r is the radius of the circle.

In this case, the circumference of the circle is given as 20π meters. So we can write:

20π = 2πr

Dividing both sides by 2π, we get:

r = 10 meters

The arc length of a sector of a circle with central angle θ and radius r is given by the formula:

Arc length = (θ/360°) x 2πr

where θ is the central angle in degrees.

In this case, the central angle of the sector is 45°, and the radius of the circle is 10 meters. So we can substitute these values into the formula:

Arc length = (45/360) x 2π(10) = (1/8) x 20π = 2.5π

Using the value of pi as 3.14, we can calculate the arc length as:

2.5π = 2.5 x 3.14 = 7.85 meters

Therefore, the arc length of the sector is 7.85 meters.

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Answer:

Step-by-step explanation:

so theres 8 red marbles, 6 blue marbles, and 6 white marbles so that makes

8 + 6 + 6 = 20 marbles in total

the probability of the marble being white is 6/20 or 3/10

so the probabilty of the marble NOT being white is 1 - (3/10) = 7/10

Answer:

D. 30

Step-by-step explanation:

60 = 2x

30 = x

Answer:

,..............................!!!

Step-by-step explanation:

The set notation includes all values from -5 to 0, but the domain only includes the integer values

eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}

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

Further explanation:

Let's go through the answer choices one by one

Answer:

\(cosx=\frac{67}{77} =>x=29.5\)

Step-by-step explanation:

Answer:

for a year it would be 90 dollars i think and for the second year i think it would be 30 because a year is 12 months and every month they take away 5 so 12x5 is 60 so 150 minus 60 is 90 and for the second year 90 minus 60 is 30

Step-by-step explanation: Math :)

The two adjacent columns that show an interval with an average rate of change of -0.3 are column 7ᵗʰ and 8ᵗʰ.

We have a function used by an architect is designing a water fountain for a park. The function is defined as h(x) = - x²/20 + x + 15

where h(x) --> height of the water jet, in feet,

Also , the average rate of change = - 0.3

Average rate of change is used to measure the change in value of function per unit, on average over an interval. It is derived from the slope line which is formed bu joining the end points of graph. Formula is represented as

A(x) = {F(b) - F(a)}/(b - a)

where b and a are end points of interval.

In this case, this formula is used as

A(x) = {H(x₂) - H(x₁)}/(x₂ - x₁ )

=> -0.3 = {H(x₂) - H(x₁)}/(x₂ - x₁ )

As we see in above figure the difference between the any two values of x is equals to 2 i.e., the final value - initial value = 2 in an interval.

So, x₂ - x₁ = 2

=> -0.3 = {H(x₂) - H(x₁)}/2

=> -0.3× 2 = H(x₂) - H(x₁)

=> -0.6 = H(x₂) - H(x₁)

=> H(x₂) = H(x₁) - 0.6

so, the columns which follows this relationship are the following

distance , x 12 14

Height of jet , h(x) 19.8 19.2

Hence, the required relationship is H(x₂) = H(x₁) - 0.6.

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Complete question:

An architect is designing a water fountain for a park. She uses the given function to model the water jets flowing from the fountain's nozzles,

where h(x) gives the height of the water jet, in feet, x feet from its starting point. select two adjacent columns that show an interval with an average rate of change of -0.3

Answer:

A.  The graph that Larry created is a correct representation of his company's charges.

Step-by-step explanation:

The equation for the services charges, y, is made up of the $10 initial service call fee plus $5 times the number of hours, x.

y = 5x + 10

Try any 2 values for x to see if they fits the graph.

x(hr)   y($)

0        10

1         15

4        30

This is the line already drawn on the graph.  Larry did everything correctly, so options B, C, and D are all false/incorrect.

Answer:

t = 2.5 seconds

Step-by-step explanation:

If 2 layers will fill the entire truck then the volume of the truck is 16 cubic meters.

Since the floor of the truck can be completely covered with a layer of 8 boxes, we know that the area of the truck's floor is equal to the total area of 8 boxes.

The volume of each box is one cubic meter, which means each box has a height, length, and width of 1 meter. Therefore, the area of the truck's floor is 8 square meters (8 boxes x 1 square meter per box).

If two layers of boxes will fill the entire truck, we need to multiply the area of the truck's floor by the height of two layers. Since each box has a height of 1 meter, the height of two layers will be 2 meters.

The volume of the truck = Area of the floor x Height

Volume of the truck = 8 square meters x 2 meters

Volume of the truck = 16 cubic meters

Therefore, the volume of the truck is 16 cubic meters.

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Given information: The + operation is defined as follows: (X1, X2) + (y1, y2)

= (X1 + Y1, X2 + y2)H₁

= {( a, 0): a € R}            

To show that H₁ is a subgroup of R², we need to prove the following conditions: Closed under +:If a, b € H₁, then a + b € H₁a, b € H₁ means that a = (a, 0) and

b = (b, 0).Then,

a + b = (a, 0) + (b, 0)

= (a + b, 0) = cNow, c € H₁, because

c = (a + b, 0), where a + b € R and 0 € R.

The above condition satisfies that H₁ is closed under +.Identity element: In H₁, the identity element is (0, 0), since (0, 0) + (a, 0)

= (a, 0) + (0, 0)

= (a, 0), ∀a € R. So, H₁ has an identity element. Inverse element: If (a, 0) € H₁, then the inverse of (a, 0) is (-a, 0) since (a, 0) + (-a, 0)

= (-a, 0) + (a, 0)

= (0, 0).Thus, H₁ has an inverse element. Therefore, H₁ is a subgroup of R².

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