9
/4
to the
power
of -3/2

Answer:

34 acres

Step-by-step explanation:

510 divided by 15 is 34

your welcome :)

Answer:

34

Step-by-step explanation:

510/15=34

If 510 acres of land was divided into 15 equal parts, each part would be 34 acres.

Hope this helps!

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.2063.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: 4³x=77.2

We are given that 4³x = 77.2            —- 1

We know that 4³ = 64

Using in equation 1, we have,

64x = 77.2

x = 77.2 / 64

= 1.20625

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 1.2063.

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Let's arrange the pairs on the chart as follows:

(x, y) \s(2,1) \s(3,4) \s(3,3) \s(4,2) \s(5,5)

Two y-values are present at x=3 as indicated by the bold type. Therefore, this relationship does not pass the vertical line test (two points on the same vertical line). It's not a function, this.

There may be errors in the answer choices.

No, because there are multiple y-values that can be represented by a single x value.

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Answer:

the answer is g= 1/3x - 2/3

Answer:

Less

Step-by-step explanation:

Because every negative number is smaller than any positive number

The value of g (7) is 16.

What is Piecewise function?

A piecewise function is a function which built from pieces of different functions over different intervals.

The given function is;

g (x) = x² - 5             , x ∈ (-∞, -7)

      = 9x - 17            , x ∈ [-7, 2]

      = (x + 1) (x - 5)    , x ∈ (2, ∞)

Now, Find the value of g (7) as;

Since, Number 7 is belong in interval (2, ∞).

Hence, To find the value of g (7) we use the function,

g (x) = (x + 1) (x - 5)    , x ∈ (2, ∞)

Substitute x = 7 we get;

g (x) = (7 + 1) (7 - 5)

g (7) = 8 * 2

g (7) = 16

Hence, The value of g (7) is 16.

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The value of x is -3 and the property used in this is (-) / (-) = (+)

According to the question the expression that we have given is

                      6 - 4x = 18

We will solve this equation step by step that is

First we will subtract 6 both sides of the equation,

                 6 - 6 - 4x = 18 - 6

                       -4x = 12

Now we will divide -4 on both side of the equation we get

                        -4x/-4 = 12/-4        [As (-) / (-) = (+) ]

                          x = -3

Hence the value of x is -3 and the property that we have used is that

 (-) / (-) = (+)

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The acceleration of the bicyclist is 6.83 m/s².

The given parameters;

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

We have to find the acceleration of the bicyclist.

How to calculate the acceleration?

If the initial velocity is u, final velocity is v and distance travel by object is s then we can calculate acceleration as;

v² = u² + 2as

Initial velocity of the bicycle (u) = 21 m/s

Distance travel by the bicycle (s) = 32.3 m

Final velocity of the bicycle (v) = 0

Hence, The acceleration of the bicycle is calculated as follows;

v² = u² + 2as

Where, v is the final velocity of the bicycle.

0 = u² + 2as

2as = - u²

a =  - u²/2s

a = - (21)²/2*32.3

a = - (21)²/64.6

a = -441/64.6

a = -6.83

| a | = 6.83 m/s²

The acceleration of the bicyclist is 6.83 m/s².

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Answer:9 cm long

Step-by-step explanation:

7 + 2 = 9

so that will be the total

Answer:

[tex]8.50h = 6.50h + 15[/tex]

The value of the digit three in 20,320 is three hundred. This is the place value.

It should be noted that a place value simply means the value that's represented by the digits that are written in a number.

In this case, MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet.

The value of the digit three in 20,320 is three hundred.

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Knowing that segment BD is of length 26, and C is the midpoint then BC is half of BD. The value of  x is solved to be 11/3

Given data

length of segment BD = 26

C midpoint of BD

BC = 6x - 9

If C midpoint of BD, then BC is half of BD.  This is shown mathematically as

BC = 1/2 * BD

BC = 1/2 * 26

BC = 13

substituting BC = 13 into BC = 6x - 9, we have

BC = 6x - 9

13 = 6x - 9

13 + 9 = 6x

6x = 22

x = 22/6

x = 11/3 in fraction

x = 3.6667 in decimal notation.

Hence we can say that the value of x in the equation is 11/3

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The subtraction of the expression 10√27 - 4√12 is 22√3.

Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together.

In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract.

Consider the expression,

y = 3√20x + 8√45x - 4√5x

Now, the number in the root can also be written as:

20 = 2 × 2 × 5

45 = 5 × 3 × 3

Therefore,

y = 3√20x + 8√45x - 4√5x

y = 3( √[2 × 2 × 5] )x + 8( √[5 × 3 × 3] )x - 4√5x

y = 3 × 2√5x + 8 × 3√5x - 4√5x

y = √5x ( 3 × 2 + 8 × 3 - 4 )

y = √5x ( 6 + 24 - 4 )

y = 26√5x

The value of the expression 3√20x + 8√45x -4√5x is 26√5x.

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Answer:

-1

Step-by-step explanation:

I'm just good like that

The function according to the rigid transformation g(k + 3) = - 4 · f(k + 3), where f(x) = x² - x - 1, is equal to the quadratic equation g(k + 3) = - 4 · k² - 20 · k - 44.

In this problem we find the definition of a quadratic equation and besides we are asked to find the result of horizontal translation, a reflection about the x-axis and a dilation, all of them rigid transformations. In other words, we must look for the resulting expression according to this definition:

g(k + 3) = - 4 · f(k + 3)

g(k + 3) = - 4 · [(k + 3)² - (k + 3) - 1]

g(k + 3) = - 4 · [(k² + 6 · k + 9) - (k + 3) - 1]

g(k + 3) = - 4 · (k² + 5 · k + 11)

g(k + 3) = - 4 · k² - 20 · k - 44

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Answer:

Revolution traveled by me = 30π ft.

Revolution traveled by my friend = 20π ft.

Difference between revolutions = 10π ft.

Step-by-step explanation:

In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.

The answer to your question is 1.25

Answer:

7 and 23 or 11 and 19

Step-by-step explanation:

First, let's determine the prime numbers between 1 and 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.

We can now see that 7 and 23 add up to 30.

But 11 and 19 also works.

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The value of x is  4 units ,the Length is 20 units width is 1 units.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

The perimeter of the rectangle=42 inches

length= 5x

width= (x-3)

According to given question we have

We know that

perimeter of rectangle is sum of all sides

42 = 5x + 5x + ( x - 3 ) + ( x - 3 )

42 = 12x - 6

48 = 12x

x = 4

Length= 5*4=20 units

width= 4-3=1  units

Therefore, the value of x is  4 units ,the Length is 20 units width is 1 units.

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The highest number that can be placed in each bag is 12.

It should be noted that it was stated that William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

In this case, he wants each bag to have the same number of cans of each type of food.

It should be noted that the information simony wants us to get the highest common factor for 24 and 60.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 60 = 1, 2, 3, 4, 5,6, 10 ,12, 15, 20, 30, 60

Therefore, the highest number that can be placed in each bag will be the highest common factor for 24 and 60 which is 12.

Therefore, the highest number that can be placed in each bag is 12.

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In mathematics, an inverse function is one that "reverses" another function. The inverse of the function f(x) = (x+1)² is √x−1.

The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.

If we restrict the domain to [−1,∞), then this new function has an inverse:

g(x) = (x+1)² with x ≥ −1

y = (x+1)²

if and only if

x+1 = √y (We do not need ±√y because of the restriction on x.)

x = √y−1

g−1(x) = −√x−1

If we restrict the domain to (−∞, −1], we get

h(x) = (x+1)² with x≤−1

y = (x+1)²

if and only if

x+1 = −√y (We need only −√y because of the restriction on x.)

x = −√y−1

h − 1(x) = √x−1

The inverse of the function f(x) = (x+1)² is √x−1.

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Answer:

A 30 is 5

B 12 is 4

C 26 is 13

D 36 is 2

Step-by-step explanation:

that is all i know

The expression to the second power is simplified to 216. 64

Fractions are simply defined as part of a whole.

There are several types of fractions which include;

Given the expression;

1¼ x 3.14 x 3¾

Let's convert the mixed fractions to improper fractions, the steps are;

We have;

5/4 × 3. 14 × 15/ 4

Multiply through

235. 5/  16

Find the quotient

14. 72

To the second power, we have

(14. 72)²

216. 64

Thus, the expression to the second power is simplified to 216. 64

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Answer: The equation can also be used to find the perimeter of the rectangle  P = 4 × ( l + w).

Step-by-step explanation:

Given data,

A rectangle has a length of 6 feet and a width of 4 feet.

The perimeter of the rectangle can be found using the equation =2×6+2×4.

                        P = 2×6+2×4

Let l be the length and w be the width of a rectangle.

Since there four sides of a rectangle, the perimeter is given by adding all the sides.

Therefore perimeter of the rectangle is given by

                    = l + l + b + b

                    = 2×l +2×w

                    = 2 × ( l + w).

The equation given by 2 × ( l + w) can also be used to find the perimeter of any given rectangle.

We can use,

                          P = 4x4x6

Therefore perimeter of the rectangle is given by

                           = l + l + b + b

                           = 4×l +4×w

                           = 4 × ( l + w).

substitute l and w values,

Then,

                           = 4 × ( l + w)

                        P = 4 × ( 6 + 4).

The equation given by 4 × ( l + w) can also be used to find the perimeter of any given rectangle.

Therefore,

The equation can also be used to find the perimeter of the rectangle P = 4 × ( l + w).

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Answer:

x+15 = 4x

3x = 15

x = 5

Therefore her present age is 5 years

Step-by-step explanation:

hope this helps! <3

Answer:

4

Step-by-step explanation:

The logic statements can be expressed and put into categories as follows;

1. If two lines are perpendicular, then the four angles caused by them are right angles

2: 1. Inductive

2. Deductive reasoning

1. If two lines are perpendicular, then the four angles caused by them are right angles.

Two lines are perpendicular when the angles formed by them are right angles.

The vertically opposite angles formed by intersecting lines have equal measure, and linear pair angles are supplementary, therefore;

If one of the angles formed by intersecting lines is known to be 90°, the vertical and adjacent angles are also 90°, and by the sum of angles at a point property, the remaining angle is also, 90°, which indicates that all the angles formed are right angles (90°).

An If, Then statement is therefore;

2. Inductive reasoning is the logic approach of making general conclusion from specific observations.

Deductive reasoning is an approach where general ideas are used to arrive at particular conclusions.

1. The statement, the product of two 2–digit numbers is always a 4–digit number, draws a general conclusion about the result of multiplying two 2–digit numbers, therefore;

2. The statements, Florida requires all lawyers to pass the Bar Exam to practice law.

If Mark does not pass the bar then he would not legally be able to represent clients as their lawyer.

The above statement makes deductions from the general statement on the rules of law practice in Florida.

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Answer:

2.432926829 rounded to a significant figure

Step-by-step explanation:

798/(8*41)

798/328=399/164=2 71/164 or approx 2.432926829

Round to a "significant figure."

(I don't know what that's referring to. The nearest whole number is 2.)

Three equations with a solution of -1/2 are given as follows:

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

One example of a system of equations is when two equations are equaled, as is the case for this problem:

ax + b = cx + d.

We want solution of -1/2, hence:

x = -1/2

(a - c)x = d - b.

Thus:

Then three possible cases are given as follows:

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Answer:

Hope this helps!