Use the graph of f to describe the transformation that yields the graph of g. f(x)=3^xg(x) = −3^x−2

The decimal equivalent of 7 over 16 is 0.4375 .

Fractions and decimals are two ways to represent the same numbers. A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. A fraction is represented as a numerical value that is defined as a part of a whole.

We will convert the given fraction 7/16 to a decimal number.

To convert any fraction to a decimal, we just need to divide its numerator by denominator.

Here the fraction is 7/16 which means we need to perform 7 ÷ 16 = 0.4375.

So, 7/16 as a decimal is 0.4375.

Thus, 7/16 as a decimal is equal to 0.4375

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We need to find the slope of a segment that joins the points (5, -2), and (-5, -8)

Therefore we use the formula for the slope:

Therefore the value of the slope is 0.6 = 6/10 = 3/5

You may need to enter the answer in a particular format (all three values above are the same, but expressed differently)

Then if we want the expression for the equation of the line, we use this slope, and either one of the points that they give us. for example the point (5, -2)

We write the general form of the equation of a line in slope-intercept form:

and use for "m" 3/5, and require that the point (5, -2) be part of the line:

Therefore, the equation of the line (in slope intercept form) is:

Check the picture below.

Those are supplementary angles, hence:

11.

Marco bought 12 roses for $48. Each rose was originally $4 before the discount, and Super Saver Get $2 off each rose when you buy 12 or more roses each rose is $6.

Therefore,

Marco bought 12 roses for $48. Each rose was originally $4 before the discount.

∴ 48/12 = $4   and,

Super Saver Get $2 off each rose when you buy 12 or more roses

each rose is $6.

∴ 12/2 = $6

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Given the image we have a Parallelogram. Because it is a four-sided plane figure with opposite sides parallel.

ANSWER

a) Parallelogram

- Area of First Carousel:

diameter = 13 m

- Area of Second Carousel:

diameter = 19 m

- The difference between the two areas is:

Answer:

The platform area of the larger carousel is 150.7 m^2 larger than the platform area of the smaller carousel.

Answer:

3 options.

Chicken - White

Chicken - Italian

Chicken - Wheat

Explanation:

This question can be better explained with a graphic:

You have an index card with the word "chicken", and 3 index cards with the words "white", "wheat", and "Italian", which are the options of bread.

Also we have represeted the red yarn with 3 black lines that connect the options.

We can see from the image that we have 3 options of sandwiches:

Chicken - White

Chicken - Italian

Chicken - Wheat

Since equality is false there is no solution.

By using the slope formula the required value of r is 7 .

Given : ( 2 , 5 ) and ( 5 , r )

The slope given is  2/ 3

We know that when two values of x and y are given and we are supposed to find the slope of the equation we use the slope formula.

And thus by using the slope formula we get the below :

y₂ - y₁ = m ( x₂ - x₁ )

= > r - 5 = 2/ 3 ( 5 - 2 )

On cross multiplying we get :

3 r - 15 = 10 - 4

Add 15 to both sides of the equation and we will get

3 r = 10 - 4 + 15

3 r = 21

Divide both sides by 7 and we get :

r = 7

Thus by using the slope formula the required value of r is 7 .

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The area formula of a circle is :

From the problem, the diameter is 8 inches.

The area will be :

The answer is 50.27 in^2

Answer:

Sure

Step-by-step explanation:

Let me know what you want by making me brainliest

The numbers represented by the word problems are 33 and 6

The statements in the question are:

Let the numbers in the expressions be x and y

So, we have

x + y = 39

x = 7y - 9

Substitute x = 7y - 9 in the equation x + y = 39

So, we have

7y - 9 + y = 39

Evaluate the like terms

8y = 48

Divide both sides by y

y = 6

Substitute y = 6 in x + y = 39

x + 6 = 39

Evaluate the like terms

So, we have

x = 33

Hence, the numbers are 33 and 6

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By definition, the of a line written in Standard form is:

Where "A", "B" and "C" are Integers ("A" is positive).

The Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

You know that this line passes through these points:

By definition, the value of "x" is zero when the line intersects the y-axis. Then, you can identify that, in this case:

Now you can substitute the value of "b" and the coordinates of the second point into the following equation and solve for "m":

Then, the slope of the line is:

Therefore, the equation of this line in Slope-Intercept form is:

To write it in Standard form, you can follow these steps:

- Subtract 2 from both sides of the equation:

- Subtract "y" from both sides of the equation:

The answer is:

Answer:

2x-y =-2

Step-by-step explanation:

To find the equation of the line in standard form, first, we need to find the slope

m = ( y2-y1)/(x2-x1)

m = (10-2)/(4-0)

   = 8/4 = 2

Then we can use the slope intercept form

y = mx+b  where m is the slope and y is the y-intercept

y = 2x +b

Using the y-intercept ( 0,2)

y = 2x +2

The standard form is Ax +By =C  where A is a positive integer and B is an integer

Subtract 2x from each side

-2x +y = 2

Multiply each side by -1

2x-y =-2

The length of the radius of the circle is √61.

Here there are two endpoints of the circle (-7,-4) and (3,8)

To find the distance between the two points we have a formula:

Distance = [tex]\sqrt{(x_{2} -x_{1} ^{2} + (y_{2} - y_{1})^{2} }[/tex]

So here we have

([tex]x_{1} , y_{1}[/tex]) = (-7, -4)

([tex]x_{2} , y_{2}[/tex]) = ( 3,8)

Putting the value we have,

=[tex]\sqrt{(3-(-4))^{2} + (8-(-7))^{2} }[/tex]

=[tex]\sqrt{10^{2} + 12^{2} }[/tex]

=√244

=2√61

The diameter is 2√61

radius = diameter/2

            = 2√61/2

            = √61

Therefore the length of the radius of a circle is √61.

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Simplifying:

Answer:$16,000 in interest

Step-by-step explanation: well, you just take 4% of 80,000 which is $3200. (80,000x0.04=3200). Then because it is 5 years, just multiply the 3200 by 5 (there isn't compound interest.) 3200*5=16,000.

...................

Answer:

  1.147×10^-2 cm

Step-by-step explanation:

You want the difference between the two values 1.87×10^-2 and 7.23×10^-3 expressed in scientific notation.

Addition and subtraction of numbers in scientific notation requires that the multipliers have the same exponent. That exponent can be chosen so no adjustment of the exponent is required in the answer.

  [tex]1.87\times10^{-2}-7.23\times10^{-3}= 1.87\times10^{-2}-0.723\times10^{-2}\\\\=(1.87-0.723)\times10^{-2}=\boxed{1.147\times10^{-2}}[/tex]

This measurement is in centimeters.

__

Additional comment

A calculator or spreadsheet can accept input and display results in scientific notation.

The difference in the diameter of of G and H is 1.147x 10⁻² cm

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation.

it is given that :

the diameter of cell G is = 1.87 x 10⁻² cm

the diameter of cell H is = 7.23 x 10⁻³ cm

Now, to find the difference between the diameter of two cells simply subtract the diameter of cell G and H :

difference in the diameter of of G and H = 1.87 x 10⁻² cm - 7.23 x 10⁻³ cm

difference in the diameter of of G and H=1.87 x 10⁻² cm - 0.723 x 10⁻² cm

                                                                  = 1.147x 10⁻² cm

Therefore, the difference in the diameter of of G and H is 1.147x 10⁻² cm

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we have

Find the unit rate in each case

so

718/5.95=120.67 miles per hour ---------> greater than 100 miles per hour

45.8/4=11.45 miles per hour ------> between 10 and 96 miles per hour

2,865/24.8=115.52 miles per hour -------> greater than 100 miles per hour

419.72/80.6=5.21 miles per hour ------------> less than 10 miles per hour

935.47/22.75=41.12 miles per hour ------> between 10 and 96 miles per hour

Answer:

27 ounces of flour

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] x [tex]\frac{9}{9}[/tex] = [tex]\frac{63}{27}[/tex]

7/3 = 63/x

isolate the so that it is on the top, so multiply by x on the right and on the left

this gives you:

x*7/3 = 63

try to isolate x and multiply by 3 to get rid of the denominator

x*7 = 63 * 3

x*7 = 189

finally isolate x by dividing by 7 and getting rid of the 7 multiplying with it

x= 189/7

x = 27

you need 27 ounces of flour if you have 63 ounces of sugar

Given the expression:

To solve this expression for x, means that you have to isolate the term "x" in one side of the equal sign and all other terms mus be in the other side of it.

To "pass" a term from one side of the = sign to the other you have to perform the inverse operation to both sides of the equation (this way the equality remains valid)

So, the term "fy" is adding, the inverse operation is to subtract it, first step is to subtract this term of both sides of the equation:

+fy and -fy cancel each other so that:

Next, the term "x" is being multiplied by "d" but you need to reach the point were x is alone.

To cancel this multiplication you have to divide it by "d", and to keep the equality valid you have to perform the operation in both sides of the = sign:

d/d=1, then we get that x is equal to:

3.2 x 10^-3 = 0.0032 ( we have to move the decimal point 3 units to the left since the exponent of 10 is -3)

Express all the options in decimal form

2.1 x 10^-3 = 0.0021

4.2 x 10^-4 = 0.00042

5.2 x 10^-2 = 0.052

5.2 x 10^-1= 0.52

0.052 > 0.0032

0.52> 0.0032

So, correct options are:

5.2 x 10^-2

5.2 x 10^-1

answer: b) - 28.05

First we have to take a look at the expression f(x + 1). This represents an horizontal translation. So this is the first transformation:

1. Horizontal translation

Now we can see that we have to multiply f(x + 1) by -1. This represents a reflexion on the y-axis

2. Reflection on y-axis

Finally we can see that -f(x + 1) is added by 3 units. This represents a vertical translation:

3. Vertical translation

Answer:

1. Horizontal translation

2. Reflection on y-axis

3. Vertical translation

Now let's see the final function:

f(x) = 2x - 5

f(x+1) = 2(x + 1) - 5

f(x+1) = 2x + 2 - 5

f(x+1) = 2x - 3

g(x) = -2x + 3 + 3

g(x) = -2x + 6

So let's plot f and g on the same reference system:

Given the following equation:

You need to solve for the variable "w" in order to find its value. To do this, you can follow the steps shown below:

1. You can apply the Subtraction property of equality by subtracting 29.7 from both sides of the equation. Then:

2. Finally, you need to apply the Division property of equality by dividing both sides of the equation by -0.2. Then, you get:

The answer is:

we have taht

radius is

HG

HA

HE

HD

The radius is the distance from the center of the circle to any point that lies on the circle

In this problem

point H is the center of the circle

so

the distance from H to any point on the circumference of the circle is a radius

see the attached image

All those segments are radius

Part 2

Remember that

the circumference is equal to

so

In the table

the value of C is about 3 times the diameter

therefore

the values of flying disc are inaccurate

because

if D=23 cm the circunference must be about 69 cm, not 28 cm

Answer:

y = -6/3 + 12

Step-by-step explanation:

Step 1: Plot the point

Step 2: Simplify the given function then graph it

3y = -6x + 9 becomes:

y = -6/3x + 3

Step 3: Using the slope of -6/3 (because parallel lines will ALWAYS have the same slope) find 1 more point on the graph.

Step 4: Draw a line thru those points and find the y-int

y = ax + b, x and y are variables, a is the slope and b is the y-int

y = -6/3 + 12

From the graph we can conclude:

The cars travels for 2 hours, then stops for 1 hour and finally travels again for 2 hours.

-------------------------------------

Answer:

XZ = 28

Explanation:

The trapezoid is isosceles because it has two equal sides WZ and XY.

The diagonals of isosceles trapezoids have the same length. So, WY is equal to XZ and we can write the following equation:

WY = XZ

15x - 2 = 9x + 10

Then, solving for x, we get:

15x - 2 = 9x + 10

15x - 2 + 2 = 9x + 10 + 2

15x = 9x + 12

15x - 9x = 9x + 12 - 9x

6x = 12

6x/6 = 12/6

x = 2

Therefore, the value of XZ is equal to:

XZ = 9x + 10

XZ = 9(2) + 10

XZ = 18 + 10

XZ = 28

So, the answer is XZ = 28