Find the coordinate of the midpoint of the segment with the given endpoints.
- 5 and 4

The required change in height of the missile is 16100 feet.

Given that,
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, the change in the altitude of the missile is to be determined.

Change in defined as when the object is in one state but after a certain period of time, the state of the object changes is called change of the state.

here,
The height attained by the missile above sea level is 15900 feet.
The height attained by the missile below the seal level is 200 feet.
Change in height = 15900- (-200) = 15900 + 200 = 16100.

Thus, the required a change in height of the missile is 16100 feet.

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Answer:Answer: SAS

Step-by-step explanation:

The exponential model of the given data is f(t) = 30.18 × 1.06^t.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

Given that,

The average price for office space in 2004 is $30.18.

The average price for office space in 2015 is $66.85.

Suppose the average price in 2004 is taken as y₀.

The given situation can be represented in the form of exponential function f(t) = y₀b^t as,

Take t = 0 for 2004

Then,  f(0) = y₀b^0

⇒ f(0) = y₀ = $30.18.

Then, at 2015, t = 12. Substitute the respective values to get,

f(12) = 30.18 × b^12

⇒ 66.85 = 30.18 × b^12

⇒ b^12 = 66.85 / 30.18

⇒ b = 1.06

Thus in exponential form the given situation can be written as,

f(t) =30.18 × 1.06^t

Hence, the given data can be modeled in exponential function as  f(t) =30.18 × 1.06^t.

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Answer:

x³ - 8

Step-by-step explanation:

The volume of the flower box is 7560 cubic inches

The given parameters in the question are:

Length = 5 ft

Upper and lower bases = 18 inches and 10 inches

Height  = 9 inches

The volume of the box can be calculated using the following volume equation

Volume = 0.5 * Height * Length * (Sum of the bases)

Substitute the known values in the above equation So, we have the following equation

Volume = 0.5 * 9 inches * 5 feet * (18 inches + 10 inches)

Convert feet to inches

Volume = 0.5 * 9 inches * 60 inches * (18 inches + 10 inches)

Evaluate

Volume = 7560 cubic inches

Hence, the volume is 7560 cubic inches

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These are equivalent. I hope this helps a ton. I had this question on a test. Tell me if its wrong or not. <:

The partial fraction of the compound fraction [tex]\frac{x + 7}{(x - 3)(x - 5)}[/tex] is  [tex]\frac{6}{x - 5}[/tex] [tex]-\frac{5}{x - 3}[/tex]

Partial Fractions are the fractions that are formed when a complex rational expression is split into two or more simpler fractions.

When fractions become too cumbersome to solve we split them into simpler units called partial fractions so that mathematical operations can easily be carried out on them.

[tex]\frac{x + 7}{(x - 3)(x - 5)}[/tex] can be split into the form, [tex]\frac{A}{x - 3} + \frac{B}{x - 5}[/tex]

where A and B are constants.

so,

[tex]\frac{x + 7}{(x - 3)(x - 5)}[/tex]  =   [tex]\frac{A}{x - 3} + \frac{B}{x - 5}[/tex]

taking the LCM of the denominators of the split fractions, we have

(x-3)(x-5)

multiply A by x -5 and B by x - 3

fraction becomes

   [tex]\frac{x + 7}{(x - 3)(x - 5)}[/tex]  = [tex]\frac{A(x - 5) + B(x - 3)}{(x - 3)(x - 5)}[/tex]

since the denominators of the Left hand side and right hand side are same, we equate the numerators

A(x - 5) + B( x - 3) = x + 7

Using the cover up rule method,

to find A, we substitute x = 3 into the equation so that B becomes zero

A(3 - 5) = 3 + 7

-2A = 10

A = 10/-2

A = -5

To find A put x = 5 so that A = 0

B(5 - 3) = 5 = 7

2B = 12

B = 12/2 = 6

Substituting B and A into the partial fractions above

we have,

 [tex]\frac{6}{x - 5}[/tex] [tex]-\frac{5}{x - 3}[/tex]

In conclusion the partial fractions are   [tex]\frac{6}{x - 5}[/tex] [tex]-\frac{5}{x - 3}[/tex]

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0.8 and 0.80 are equivalent representations of the same value, with the latter including a trailing zero for precision or clarity.

In mathematics, the decimal representation of numbers allows for the use of trailing zeros after the decimal point. When a decimal number has trailing zeros, such as in the case of 0.8 and 0.80, they are considered equivalent because they represent the same value.

The trailing zeros after the decimal point do not change the numerical value of the number. The number 0.8 represents eight tenths, and adding a trailing zero to make it 0.80 does not change its value; it still represents eight tenths. The zero after the decimal point in 0.80 is simply a placeholder, indicating that there are no hundredths or smaller fractional parts.

It is common to use trailing zeros in decimal representations to indicate the precision or accuracy of a measurement. For example, if a measurement is known to be accurate to two decimal places, it is common to represent it as 0.80 rather than 0.8 to indicate the level of precision.

Therefore, mathematically speaking, 0.8 and 0.80 are equivalent representations of the same value, with the latter including a trailing zero for precision or clarity.

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Answer:

40-20= 20

Step-by-step explanation:

8(5)- 4(5)= 4(5)

40-20=20

Answer:

x=28

Step-by-step explanation:

angle b and angle c are the same measure because it is a iso triangle.

you know triangle sum is 180 so 3x+2(x+20)=180. simplify it to 5x=140

divide both sides by 5

x=28

Answer:

x = 28

Step-by-step explanation:

The triangle is isosceles, meaning that the two base angles (x + 20) are congruent. We can then create an equation that states: (x + 20) + (x + 20) + 3x = 180. Simplifying this, we get 5x + 40 = 180. We can then use reverse order of operations to solve it. Subtract 40 from both sides to get 5x = 140. We will then divide both sides by 5 to get x by itself, getting us the equation x = 28.

The ratio shows how many times one value is contained in another value.

8 bags of chips = $12

1 bag of chips = $1.5

The unit price of a bag of chips is $1.5

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

There are 4 black and 3 white marbles in a bag.

The ratio of black and white marbles in the bag is 4:3.

We have,

8 bags of chips = $12

Divide both sides by 8.

1 bag of chips = $12/8

1 bag of chips = $3/2

1 bag of chips = $1.5

This means,

1 bag of chips costs $1.5

Thus,

The unit price of a bag of chips is $1.5

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Answer:

y=8 x=-19.5

Step-by-step explanation:

Start from the bottom equation and work your way upSolve the fourth equation for w-5w=-15-5w/(-5)=-15/(-5)w = 3 Then use that value of w to plug into the third equation. Notice we're going backwards or up the chain of equations. After w is replaced, solve for zz+w = 2z+3 = 2z+3-3 = 2-3z = -1 Now use z = -1 and w = 3 to plug into the second equation. Solve for y-2y-12z-4w = -16-2y-12(-1)-4(3) = -16-2y+12-12 = -16-2y = -16-2y/(-2) = -16/(-2)y = 8 

Use y = 8, z = -1, w = 3 to plug into the first equation. Solve for x:

2x+4y+z+3w=12x+4(8)+(-1)+3(3)=12x+32-1+9=12x+40=12x+40-40=1-402x=-392x/2=-39/2x = -39/2 The value of x as a fraction is x = -39/2The value of x in decimal form is x = -19.5 

Answer:

21%

Step-by-step explanation:

126 out of 600=126/600

=0.21 *100 for

21%

Answer:

$0.45 and a waffle bowl is $1 extra.

Step-by-step explanation:

60% of the fruit punch is orange juice.

In this question, we have been given 3/5 of a fruit punch is orange juice.

We need to find the percentage of the fruit punch is orange juice.

3/5 of a fruit punch is orange juice, means 3 of 5 fruit punch is orange juice.

Using the percentage formula,

3/5 * 100

= 0.6 * 100

= 60%

Therefore, 60% of the fruit punch is orange juice.

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For the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

As given in the question,

Ratio of orange juice in the given fruit juice = 3/5

From the given ratio it indicates out of 5 fruits 3 are orange

Percentage of fruit punch is orange juice in the given juice is equal to

= ( 3 / 5 ) × 100

= ( 3 × 100 ) / 5

= 300 / 5

= 60%

60% of the fruit punch is orange juice.

Therefore,  for the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

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The number will x=17 and y=-3 as the sum of two numbers is 14 and the difference between the numbers is 20.

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators. One operand is added to the other in addition. On the provided operands, the operator is accustomed to performing mathematical operations like addition, subtraction, multiplication, division, modulus, etc. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.

Here,

x+y=14

x-y=20

subtract equation,

2y=-6

y=-3

x+y=14

x-3=14

x=17

The result will be x=17 and y=-3 because the sum of the two numbers is 14 and their difference is 20.

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Answer:  The correct answer is x = 50

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

This is a right-angled triangle, so one of the angles is 90 degrees + x +y

Therefore: 90 + y + x = 180

Substitute the variables:

90 + 40 + x = 180

130 + x =180

Subtract 130 from each side:

(-130) 130 + x =180 (-130)

x = 50

THE percent error is, 5

hence,THE percent error is, 5

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The problem that would be calculated to find the final answer is 2)  20 x 40; 5 x 40; 20 x 5 ; 5 x 5 = 1125

Given,

When using re-grouping to solve 25 x 45, we have to find the problems that would be calculated to find the final answer;

Here,

25 × 45 = 1125

Now,

This is simply multiplicity;

1. 20 x 40: 20 x 5: 40 x 5

800 ; 100 ; 200

1100

This is not the problem.

2. 20 x 40; 5 x 40; 20 x 5 ; 5 x 5

800 ; 200 ; 100 ; 25

1125

This is the problem

3. 20 x 40 ; 5 x 20 ; 20 x 5 ; 5 x 5

800 ; 100 ; 100 ; 25

1025

This is not the problem

4. 20 x 20 ; 40 x 40 ; 20 x 5 ; 5 x 5

400 ; 1600 ; 100 ; 25

2125

This is not the problem

Therefore,

The problem that would be calculated to find the final answer is 2)  20 x 40; 5 x 40; 20 x 5 ; 5 x 5 = 1125

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Probability of drawing a card below a 6 (count an ace as high) is 4/13

Total number of outcome : n(S) = 52

(a) In a deck number of card below a 6 (counting ace as high) is {5 , 4 , 3, 2}

so , n(E) = 4 × 4 = 16

The probability of drawing a card below a 6 (count an ace as high) = P(E)

[tex]P(E) =\frac{n(E)}{n(s)}[/tex] =16/52

P(E) = 4/13

(b) Probability of drawing a card below a 6 (count an ace as high) is 4/13

Hence , the odds of drawing a card below a 6 (count an ace as high). is 0.308

(c) we should expect to draw a card below a 6 about four times out of every 13 attempts .Also, we should expect to draw a card below or 6 four times for every nine times we draw a 6 or above is the law of large number to interpret both the probability and odds of drawing a card below 6

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84.78 mm² is area of circle .

What is a circle ?

radius of the circle = 27 mm

area of the circle = πr²

                          =  3.14 * 27

                         =  84.78 mm²

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Answer:

I think the answer is 33?

The simple interest that Oliver needs to pay is $ 90

Simple interest is nothing but interest on a loan at a rate. The formula for Simple interest is given below

Simple interest, I = ptr

where p = principal amount

t = time period in years

r = rate of interest in decimals

Here we have

Oliver borrowed $1,500 to purchase a riding lawn mower  

The rate of interest r = 12%

=> 12/100 = 0.12 (in decimals )

The time period given = 6 months = 0.5 years   [ 6/12 = 0.5 ]  

From the above formula,

The simple interest, I = ptr

=> I = $1,500(0.12) (0.5) = $ 90

Therefore,

The simple interest that Oliver needs to pay is $ 90  

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In  linear equation, No of marker is 5 and no of pencil is 3 .

What is a linear equation example?

Myles has 12 markers and 20 pencils.

take LCM of 12 and 20  = 60

no of 12 markers = 5

no of 20 pencils = 3

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Answer:

A,C,D

Step-by-step explanation:

1/2 is the probability of getting at least one answer correct

Given that: the exam has 4 multiple choice with 5 possible answers. This means there are 20 possible choices ( 5×4 = 20).

That means each problem has a probability of 1/20 correct answer. The probability of getting at least one answer means you either get one, two, three or four correct answers. Thus:

P (at least one correct) = P(1) + P(2) + P(3) + P(4)

                                      = 1/20 + 2/20 + 3/20 + 4/20

                                      = (1+2+3+4)/20

                                     = 10/20

                                     =   1/2

Therefore, the probability of getting at least one answer correct is 1/2

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The probability of getting at least one answer correct is equal to 7

That I guess at least one answer correctly means that I could get all four answers correct or three answers correct or two answers correct or only one answer correct. The probability of getting any one answer is 1/4 and probability of not getting an answer is 1 - 1/4=3/4. Or implies addition.

probability of getting all four answers correct = 1/4 +1/4 + 1/4 + 1/4 = 4/4 = 1

probability of getting three answers correct = 1/4 +1/4 + 1/4 + 3/4 = 6/4 = 3/2

probability of getting two answers correct = 1/4 +1/4 + 3/4 + 3/4 = 8/4 = 2

probability of getting all four answers correct = 1/4 +3/4 + 3/4 + 3/4 = 10/4 = 5/2

The probability of getting at least one answer correct = 1 + 3/2 + 2 + 5/2

The probability of getting at least one answer correct = (2 + 3 + 4 + 5)/2

The probability of getting at least one answer correct = 14/2

Thefore, the probability of getting at least one answer correctly is the whole number 7

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Answer:

b

Step-by-step explanation:

The correct option is (b) The data does not contain an outlier. This means that the people at the center were all seniors around the same age.

Outlier in a data set is simply the extremely low data point or an extremely high data point compared to other points in the dataset.

It will stand out from the other values in the dataset.

The line plot shows the ages of people visiting a senior center one afternoon.

The data points are,

70, 70, 70, 75, 75, 80, 80, 85, 90, 90, 95, 95, 95, 100.

If there is an outlier in the set, it would be extremely low or high compared to other points.

But there are no such points.

So there are no outliers.

This means that people visited at the center were all seniors around the same age.

Hence the correct option is (b).

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