Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

The range of f(x) = (4/5)^x is {y| y > 0}, and the range of g(x) = (4/5)^x + 6 is {y| y > 6}.

The range of a function refers to the set of all possible output values of the function. To determine the range of f(x) = (4/5)^x, we need to consider that any positive real number raised to any power will yield a positive result. Therefore, the range of f(x) is {y | y > 0}.

For g(x) = (4/5)^x + 6, we can see that adding a constant term of 6 to the function will shift the entire graph upwards by 6 units. Consequently, the range of g(x) is {y | y > 6}.

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Answer:

Hence, the sum of the geometric series is:

                                      259

Step-by-step explanation:

We are given a geometric series as:

[tex]\sum_{i=1}^4 6^{i-1}[/tex]

i.e. we are asked to fnd the sum of first four terms of the geometric series with first term as 1

Since, the series is:

[tex]6^0+6^1+6^2+6^3[/tex]

Also, the common ratio of the series is: r=6

Since, each of the term of the series is 6 times it's preceding term.

Also we know that sum of a finite geometric series with n-terms and common ratio r is calculated by the formula:

[tex]S_n=a(\dfrac{r^n-1}{r-1})[/tex]

Here we have: a=1 and r=6 and n=4

Hence,

[tex]S_4=1(\dfrac{6^4-1}{6-1})\\\\\\S_4=\dfrac{1295}{5}\\\\\\S_4=259[/tex]

                        Hence, the sum of the series is:

                                     259

Answer:

Step-by-step explanation:

The answer is d.

Answer:

d

Step-by-step explanation:

Answer:

its b!

Step-by-step explanation:

discount is $8 = 40/100 to find that discout

is $3.20

sale price : $8.00 - $3.20 which is $4.80!

Your welcome! :D

Diagonals of square are congruent  while diagonals of kite are not congruent to each other.

" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."

Compare the properties of diagonal of square and kite

1) Diagonals of square are congruent while diagonals of kite are not of same length.

2) Diagonals of square bisect each other  while in kite longer diagonals bisects the smaller one.

3) Diagonals of square and kite are perpendicular to each other.

Hence, diagonals of square are congruent  while diagonals of kite are not congruent to each other.

Learn more about diagonals here

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Answer:

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.

Answer:

Guy above is correct

Step-by-step explanation:

Answer:

1- The sum is: 2m + 2n + 7 = 2(m+n) + 7

2- The difference is: 3m - 2

3- The difference is: -2m - 2n + 2 = -2(m+n-1)

Explanation:

Before we begin, remember the following:

+ve * +ve = +ve

-ve * -ve = -ve

+ve * -ve = -ve

-ve * +ve = -ve

Also, remember that, we only add/subtract like terms. There are terms which have the same variable(s) raised to the same degree

Now, let's check the problems:

Problem 1:

Adding two polynomials:

(m + n + 3) + (m + n + 4)

We first start by getting rid of the brackets:

m + n + 3 + m + n + 4

Now, we add like terms:

2m + 2n + 7

As an additional step, we can take 2 as a common factor from the first two terms:

2(m+n) + 7

Problem 2:

Subtracting two polynomials:

(10m - 6) - (7m - 4)

We first start by getting rid of the brackets. Take care of the different signs while doing so:

10m - 6 - 7m + 4

Now, we add/subtract like terms:

3m - 2

Problem 3:

Subtracting two polynomials:

(4m - 5) - (6m - 7 + 2n)

We first start by getting rid of the brackets. Take care of the different signs while doing so:

4m - 5 - 6m + 7 - 2n

Now, we add/subtract like terms:

-2m - 2n + 2

As an additional step, we can take -2 as a common factor from the above expression:

-2(m+n-1)

Hope this helps :)

The area of the sector rounded to the nearest hundredth is  [tex]$37.02 \, \text{mm}^2$[/tex].

To find the area of a sector, we use the formula:

[tex]\[ \text{Area of sector} = \frac{\text{Central angle}}{2\pi} \times \pi r^2 \][/tex]

Given that the central angle is [tex]\( \frac{2\pi}{9} \)[/tex] radians and the diameter (which is twice the radius) is [tex]$20.6 \, \text{mm}$[/tex], the radius is [tex]\( \frac{20.6 \, \text{mm}}{2} = 10.3 \, \text{mm} \)[/tex].

Now, substituting these values into the formula:

[tex]\[ \text{Area of sector} = \frac{\frac{2\pi}{9}}{2\pi} \times \pi (10.3)^2 \][/tex]

[tex]\[ = \frac{1}{9} \times \pi \times 10.3^2 \][/tex]

[tex]\[ = \frac{1}{9} \times 3.14 \times 106.09 \][/tex]

[tex]\[ = \frac{1}{9} \times 333.2086 \][/tex]

[tex]\[ \approx 37.02 \, \text{mm}^2 \][/tex]

Rounded to the nearest hundredth, the area of the sector is approximately [tex]$37.02 \, \text{mm}^2$[/tex].

Answer:

1. Two planes intersect to ALWAYS form a line. If two planes intersect, they intersect in a line. The two planes that do not intersect, they form parallel lines.

2. The true statement is :

All quadrilaterals are polygons with four sides. A quadrilateral is a geometrical shape that has four sides and four angles. These are also called polygons. There are many types of quadrilaterals like - the parallelogram, the rectangle, the square, rhombus etc.

Answer:

9.25%

Step-by-step explanation:

We have the price book of $40 but karen pais $43.70 then the $3.70 extra that she paid it's the value of taxes. Then to know the tax rate we have to do the next procediment:

[tex]$40\longrightarrow 100\%[\text]

[tex]$3.70\longrightarrow x\%[/tex]

Where x is the tax rate, then:

[tex]x=\dfrac{\$3.70\cdot 100\%}{\$40}[/tex]

[tex]x=\dfrac{370\%}{40}=9.25\%[/tex]

Answer:

In other words to what the dude above me said, the answer is "a''

Step-by-step explanation: