given: y is the midpoint of. XZprove: XY 1/2XZ

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

$9.14

Step-by-step explanation:

0.79 × 34 = 26.86

and

36.00-26.86= 9.14

\(\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y\)

First, combine like terms:

\(\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y\)

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

\(\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}\)

\(\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}\)

So the simplified expression would be

\(\dfrac7{12} x + \dfrac7{10} y\)

Answer:

10900

Step-by-step explanation:

Answer:

Amy has to pay $600 every month for rent.

Step-by-step explanation:

To take 1/4 of a number is to multiply 1/4 and said number.

So you can do 0.25*number

or number/4.

For this problem, the number is 2400 because Amy is going to pay 1/4 of 2400 for rent.

\(rent = 2400/4\\rent = 600\)

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The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Given the equation:

1 / (x - 1) + 2/x = x / (x - 1)

Multiplying through the equation by x(x - 1):

x + 2(x - 1) = x(x)

x² - 3x + 2 = 0

x² - 2x - x + 2 = 0

(x - 2)(x - 1) = 0

x = 2; and x = 1

The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1

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Answer:

B y= -5/4x+3

Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

Step-by-step explanation:

tan B=372/279=(31×12)/(31×9)=12/9=4/3

By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Answer:

The answer would be c

Step-by-step explanation:

Answer:

B, if not then it's D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

increases by 5 pages per day + 25 initial pages read = 350

Answer:

3/5 miles

Step-by-step explanation:

Average Distance = Total Distances / Total Number of Runners

Average Distance = [0.3+0.4+0.5+0.6+(4*0.7)+0.8] / 9 = 3/5

Answer:

Answer:

51 mg

Step-by-step explanation:

A new health drink has 170​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.

The above question is calculated as:

RDA of the vitamin × 170%

The RDA for this vitamin is 30mg

Hence:

30mg × 170%

= 51 mg

Therefore, the milligrams of the vitamin that are in the​ drink is 51 mg

The difference of 5/6 - 5/12 is 5/12..

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

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Answer:

the answer is 4

Step-by-step explanation:

4^3 is 64 this making the answer 4

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

She can only buy three rabbits.

Step-by-step explanation:

I just added 15.25 each time and you get to 45.75 and then you cant add anymore because it gets over budget. The total price would be 40.75

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

g(4) = 10

f⁻¹(11) = 1

h{g(4)} =

if h(x) = (10/x) – 3 = 7

if h(x) = 10/(x – 3) = 10/7

____________

f⁻¹(x) = (x - 4) / 7

Answer:

61°

Step-by-step explanation:

180° - 119° = 61°

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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9514 1404 393

Answer:

  5/6

Step-by-step explanation:

3/4 is less than 5/6 by ...

  5/6 -3/4 = 10/12 -9/12 = 1/12

The number that is greater than 3/4 by 1/2 is ...

  3/4 +1/12 = 9/12 +1/12 = 10/12 = 5/6

5/6 is greater than 3/4 by the same amount that 3/4 is less than 5/6.

_____

Additional comment

This is a trick question -- checking to see if you're awake.

If A < B by some amount, then B > A by that same amount.

If B -A = q, then A +q = B.

Answer:

216

Step-by-step explanation:

Recall that a fractional exponent corresponds to a root, and that a negative exponent corresponds to the expression being on the opposite side of the fraction line.

Therefore, this expression can also be written as:

\(\frac{1}{(1^3+2^3+3^3)^{-3/2}} =(\sqrt{1^3+2^3+3^3})^3 =\\=(\sqrt{1+8+27} )^3=(\sqrt{36})^3 = 6^3=216\)

Answer:

0

Step-by-step explanation:

Slope is the rise (change in y) over the run (change in x).

y=3 is simply a horizontal line.

hope this helps!

Answer: -2

Step-by-step explanation:  The average rate of a function f(x)  from x=a to x=b is given as:

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

Hence, the average rate of change is calculated as:

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:

-2

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒ 2

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Graph of quadratic function is shown.

Now, By graph we have;

⇒ f (0) = 5

And, f (2) = 1

Hence, The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒  f(2) - f (0) / (2 - 0)

⇒ (5 - 1) / 2

⇒ 4/2

⇒ 2

Thus, The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is,

⇒ 2

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Answer:

add me as a friend and give me thanks

Step-by-step explanation:

the answer is A for sure