Michael used a stopwatch to time the baseball pitches for three of his friends.Order from least to greatest.
Pete:0.537
Ivan:0.58
Kat:0.4996

Yes the relation is a function because each input value has only one output value

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.

The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.

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Answer: c

Step-by-step explanation: i did the test C:

Answer:

1491.94

Step-by-step explanation:

7.1/100 = x/1605.96

=114.02

1605.96-114.02=1491.94

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Source: Trust me

Answer:

w-q=h

Step-by-step explanation:

4w-q=4h

4w/4-q=4h/4

w-q=h

1. The missing side of triangle is 10 CM

2. The missing side of triangle is 13 mi

3. The missing side of triangle is 3[tex]\sqrt{2}[/tex] mi

4. The missing side of triangle is [tex]\sqrt{219}[/tex] yd

The Pythagoras theorem equation is expressed as, , [tex]c^{2}[/tex]=[tex]a^{2}[/tex]+[tex]b^{2}[/tex], where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

We have different right triangles and their measurements.

we have to find the missing side of triangle.

The Pythagoras theorem equation is expressed as, [tex]c^{2}[/tex]=[tex]a^{2}[/tex]+[tex]b^{2}[/tex]

1. For diagram 1,

Let the length c=x,

a=6

b=8

then according to the Pythagoras theorem.

⇒[tex]x^{2}[/tex]=[tex]6^{2}[/tex]+[tex]8^{2}[/tex] ⇒  [tex]x^{2}[/tex]= 36+64=100

⇒x=10

therefore missing side of triangle is 10 CM

2. For diagram 2,

Let the length c=x,

a=5

b=12

then according to the Pythagoras theorem.

⇒[tex]x^{2}[/tex]=[tex]5^{2}[/tex]+[tex]12^{2}[/tex] ⇒  [tex]x^{2}[/tex]= 25+144=169

⇒x=13

therefore missing side of triangle is 13 mi

3. For diagram 3,

Let the length c=x,

a=3

b=3

then according to the Pythagoras theorem.

⇒[tex]x^{2}[/tex]=[tex]3^{2}[/tex]+[tex]3^{2}[/tex] ⇒  [tex]x^{2}[/tex]= 9+9=18

⇒x=3[tex]\sqrt{2}[/tex]

therefore missing side of triangle is 3[tex]\sqrt{2}[/tex] mi

4. For diagram 4,

Let the length a=x,

c=16,

b=[tex]\sqrt{37}[/tex]

then according to the Pythagoras theorem.

⇒[tex]16^{2}[/tex]=[tex]x^{2}[/tex]+[tex](\sqrt{37} )^{2}[/tex] ⇒  [tex]x^{2}[/tex]= 256-37=219

⇒x=[tex]\sqrt{219}[/tex]

therefore missing side of triangle is [tex]\sqrt{219}[/tex] yd

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Applying the same-side-interior angles theorem, the values are:

x = 95°

z = 35

An examples of angles that are referred to as same-side-interior angles are x° and 85°.

According to the same-side-interior angles theorem, the sum of x and 85 will give 180 degrees if lines h and o are parallel to each other.

Since h║o, therefore:

x + 85 = 180

x + 85 - 85 = 180 - 85

x = 95°

(6z - 115)° and x° are vertical angles, therefore:

6z - 115 = x

Plug in the value of x

6z - 115 = 95

6z - 115 + 115 = 95 + 115

6z = 210

6z/6 = 210/6

z = 35

Thus, applying the same-side-interior angles theorem, the values are:

x = 95°

z = 35

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Total hay eaten by horse is 983 pounds.

given,

handy ate 779 pound hay in first month .

in the next month handy ate 204 pounds of hay,

we have to add both the numbers ,204+779

=983pounds.

so,

the total amount of hay eaten by handy is 983 pounds.

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.

Long addition is a process for adding numbers together.

Stack your numbers and align the columns by place value.

Add all numbers column by column from right to left.

Record the sum in the answer space for each column.

If the sum of any one column is greater than nine, carry the additional digits to the next highest column.

The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.

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Answer:

Step-by-step explanation:

x³-6x²+x-5

but it is divided by x+2

x+2=0.

x=-2.

(-2)³-6(-2)²+(-2)-5.

-8-6*4-2-5.

-8-24-7

-15-24

The required absolute value equation is |x - 87.4| = 1.5

Also,  if the thermometer reads 87.4° F, the least possible temperature is 85.9° F and the greatest possible temperature is 88.9° F

In this question, the thermometer is accurate within 1.5 degrees of the actual temperature in degrees Fahrenheit.

We need to find the least and greatest possible temperature if the thermometer reads 87.4° F

Let x be the temperature in degrees Fahrenheit.

From given information, an absolute value equation would be,

|x - 87.4| = 1.5

We know that, | ±a | = a

x - 87.4 = ±1.5

Case 1: x - 87.4 = 1.5

            x = 1.5 + 87.4

            x = 88.9° F

Case 2: x - 87.4 = -1.5

             x = -1.5 + 87.4

             x = 85.9° F

Therefore, the required absolute value equation is |x - 87.4| = 1.5

Also,  if the thermometer reads 87.4° F, the least possible temperature is 85.9° F and the greatest possible temperature is 88.9° F

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Answer:

C is correct! for the slope, N is represented.

Step-by-step explanation:

The slope of the line that contains the points (1, 9) and (3, 4) is 4−93−1=−52.

slope=y2−y1x2−x1=4−93−1=−52

The negative reciprocal is 25, which is the slope of the perpendicular line.

The time taken to exhaust the money will be 33 days.

Total amount = 100

Let the number of days be represented by x.

Therefore, the appropriate expression will be:

(3 × x) = 100

3x = 100

Divide

x = 100/3

x = 33.33

Therefore the time taken will be 33 days.

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The ruler postulate is that A. the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

The set of points on a line can be arranged in such a way that the set of real numbers and the set of points correspond exactly, and the distance between any two points is equal to the absolute value of the difference between the corresponding numbers.

Therefore, the ruler postulate is that the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

In conclusion, the correct option is A.

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The best prediction of the population in the year 2013 is 3541 based on the fact that the population decreases by 1.4% every year

What is the number of years between 2008 and 2013?

The number of years between 2008 when the population figure was at 3,800 and 2013 is 5 years, hence when determining the population for the year 2013 we need to bear in mind that the population has decreased by 1.4% over a period of 5 years

FV=PV*(1-r)^N

FV= best prediction of the population in the year 2013

PV=population in 2008=3800

r=decreasing rate of the population=1.4%

N=number of years that have passed between 2008 and 2013

FV=3800*(1-1.4%)^5

FV=3541

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The probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher is 0.0192.

It should be noted that from the information, after the special training was complete the 25 workers produced 28.2 units every hour with stand deviation of 2.9.

Therefore, the probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher will be:

= 1 - P[(Z (28.2 - 27)/29/✓25)]

= 1 - P(Z < 2.07)

It should be noted that this will be looked on the distribution table.

= 1 - 0.9808

= 0.0192

Therefore, the probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher is 0.0192.

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Answer:

x = √(5) - 8

x = -√(5) - 8

Step-by-step explanation:

Let's solve the problem,

→ (x+8)² - 43 = -38

→ x² + 64 - 43 = -38

→ x² + 21 = -38

→ x² = -38 - 21

→ x = √(-59)

→ [ x = √(5) - 8 ]

(or) [ x = -√(5) - 8 ]

Hence, it is the value of x.

The given expression (7 x 10³)(5.4 x 10⁴)/ 9 x 10² as a number in scientific notation is 4.2 × 10^5.

According to the question.

We have an expression (7 x 10³)(5.4 x 10⁴)/ 9 x 10².

Since, we have to write the above expression as a number in scientific notation.

As we know that, scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

Thererefore, the expression (7 x 10³)(5.4 x 10⁴)/ 9 x 10² as a number in scientific notation

(7 x 10³)(5.4 x 10⁴)/ 9 x 10²

= (7 × (10^7) × 54)/ 9 × (10^2) × 10

= 7 × 6 × 10^(7 - 3)

= 42 × 10^4

= 4.2 × 10^5

Hence, the given expression (7 x 10³)(5.4 x 10⁴)/ 9 x 10² as a number in scientific notation is 4.2 × 10^5.

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Answer:

A

Step-by-step explanation:

95 [tex]\leq[/tex] 3.99s + 15.20

-15.20.          -15.20

79.80 [tex]\leq[/tex] 3.99s

    /            /

3.99       3.99

20 [tex]\leq[/tex] s

The graph of saving function f(x) = 40 - 1.25x has been plotted with a slope of -1.25.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

Given the function,

f(x) = 40 - 1.25x

Now to plot it we need to put x = 0

f(0) = 40 so y-intercept is (0,40)

Now keep f(x) = 0

Then 0 = 40 - 1.25x

x = 40/1.25 = 32

So x-intercept is (32,0)

So plot a straight line using points (0,40) and (32,0).

Hence "The graph of saving function f(x) = 40 - 1.25x has been plotted".

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Answer:4/3

Step-by-step explanation:from point (0,-1) to (4,4)

From first point on the y it goes up 5and 4 to the right

Or you can use formula m= y2-y1 / x2-x1

(X1,y1) (x2,y2).                  m= 4- -1/4-0 m= 5/4

(0,-1).   (4,4)

The intersection of M and F is {d}.

The union of M and F is {b, d, e, h, j}

A set is a collection that is used to model a collection of different things. A set can be described as a collection of objects whose elements are fixed and cannot be changed.

To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set would be separated by commas.

The intersection represents only elements that are common to two or more sets. Th sign used to represent intersection is ∩. The union of sets are all the elements in the set. The sign used to represent union is U.

The intersection of M and F = d.

It is only d that is in both set M and set F.

The union of M and F = {b, d, e, h, j}

Here is the complete question:

The sets M and F are given below.

M= ( b, d, h)

F= (d, e, j)

find the union of M and F. Find the intersection of M and F.

Write your answers using set notation (in roster form).

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Answer:

3

Step-by-step explanation:

there are 15 pieces of candy and 5 people, so all you have to do is divided 15 by 5 which gives you 3 meaning each person gets 3 pieces.

Answer:

3

Step-by-step explanation:count them all together 15 put them into separate groups

The amount of external financing Tobin Supplies Company have to seek assume there is no increase in liabilities other than that which will occur with the external financing is $58,250

What is the appropriate formula for external financing?

The formula that models the amount of external financing Tobin supplies company requires is a function of its increase in assets minus the retained earnings which would be used to part-fund the increase in assets

external funds needed=increase in assets-retained earnings

increase in assets=$105,000

retained earnings=net income-dividends

net income=sales*profit margin

net income=$550,000*10%

net income=$55,000

dividend payout ratio=15%

dividends=$55,000*15%

dividends=$8250

retained earnings=$55,000-$8250

retained earnings=$46,750

external funds needed=$105,000-$46,750

external funds needed=$58,250

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Step-by-step explanation:

by bringing all terms to the same fractions (with the same denominator).

so, we have

7

5/7

that means we want to bring both numbers to .../7 form.

7 means 7 whole units.

1 whole unit has now many parts ?

if we aim for 2 parts, that makes 1 whole unit 2/2.

if we aim for 3 parts, 1 whole unit is 3/3.

...

you see, 3/3 = 1/1 = 1.

that is the whole trick.

so, we are looking for 7 parts, and 1 whole unit is 7/7.

now we have 7 whole units.

how many parts are those ?

well, 7 × 7/7 = 49/7

there we go.

we have

7 - 5/7 = 49/7 - 5/7 = 44/7 = 42/7 + 2/7 = 6 2/7

Answer:270 calories in 3 servings; 450 calories in

5 servings.

270 ÷3   90     450 ÷ 5     90

 3    ÷3    1        5    ÷ 5        1

The unit rates are the

same so they are equal.

hope it helps! :)

Answer:

www

Step-by-step explanation:

www

Answer: {y,x} = {-9,-2}

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

3^2 = 3 x 3= 9  

9 x 3 = 27

The range of the function y = x^2 + 4x + 7 is y >= 3

The equation of the function is given as

y = x^2 + 4x + 7

Start by differentiating the above function

So, we have

y' = 2x + 4

Set the above equation to 0

So, we have

2x + 4 = 0

Divide through the equation by  2

So, we have

x + 2 = 0

Evaluate the like terms:

x = -2

Substitute x = -2 in y = x^2 + 4x + 7

y = (-2)^2 + 4(-2) + 7

Evaluate the expression

y = 3

The leading coefficient of the equation y = x^2 + 4x + 7 is positive

This means that the vertex is a minimum

So, the range is

y >= 3

Hence, the range of the function y = x^2 + 4x + 7 is y >= 3

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In linear equation, 95 is Meghan's amount of money is changing .

What in mathematics is a linear equation?

Based on the given conditions, formulate ( 1100  - 720 ) ÷ 4

Calculate the sum or difference = 380/4

Cross out the common factor = 95

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