evaluate each expression for d=3

The answer to the question is T= - 7.5°C - 8.5°C = -16°C

The initial temperature in the late afternoon was -7.5°C.

It  dropped by 8.5 degrees by midnight.

Change in temperature (in midnight) = -8.5°

Here negative sign represents the decrease in the temperature

.Let T be the total change in the temperature.

So, total change in the temperature is T =  - 8.5°C 

Therefore the required temperature in the midnight =temperature in late afternoon+the temperature dropped in night.

Final temperature at night =-7.5°C-8.5°C=-16°C

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Inverse of the given function F(x) = ( x + 3 )² + 1 is F⁻¹(x) = [√( x - 1 ) ] - 3

Given is a function of x, F(x) = ( x + 3 )² + 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 3 )² + 1 becomes y =  ( x + 3 )² + 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = 3 x³- 4, we get

x =  ( y + 3 )² + 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 3 )² + 1

=> x + 1 =   (y + 3 )²

=> (y + 3 )² = x + 1

=> y = √( x - 1 )  - 3

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y =√( x - 1 ) - 3 becomes F⁻¹(x) = √( x - 1 )  - 3

Therefore, we get the inverse of the given function F(x) = ( x + 3 )² + 1 as F⁻¹(x) = √( x - 1 )  - 3

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Answer: = 7.27 × 108                          

(scientific notation)

with calculate significant figures         = 7.3 × 108

                                                           (scientific notation)

Step-by-step explanation: hope this helps

Answer: C. 36,000

Step-by-step explanation:

Answer:

Your answer should be about 36,000

Step-by-step explanation:

You can kind of already eliminate A. the real answer should be around 34 to 35 thousan and it is the nearest to the options that you have

hope this helps

Based on the number of birdhouses that Felipe has to build in the holiday season, the meters of wood that Felipe needs would be 23 ⁵/₈ meters

First, find out the number of birdhouses Felipe needs to make:

= Normal number of birdhouses x Increase in holiday season

= 12 x 4¹/₂

= 54 birdhouses

The meters of wood he needs are:

= Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes

= 54 / 12 x 5¹/₄

= 23 ⁵/₈ meters

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Answer:

units 6.0 I think good luck brother

Answer:

No solution

Step-by-step explanation:

-8l2x -5l =16  When I divide both sides by -8

l2x - 5l = -2

The absolute value cannot equal a negative number.

Answer:

2 yards by 3 yards by 5 yards

Step-by-step explanation:

6 times 11 times 11 = 726

3(2*3*5) = 6*9*15 = 810

*Please mark brainliest answer

The equation only has real solutions, x = 2/√5  and x = –2/√5

Let p = x².

Then we can write 25 x⁴-40 x²+16 = 0 as:

25 p²- 40 p +16 = 0

This is a quadratic equation.

There are three ways to find the solutions of a quadratic equation:

Let us factoring method.

25 p²- 40 p +16 = 0

(5p - 4)(5p - 4) = 0

Hence 25 p²- 40 p +16 = 0 only has single real solution:

5p - 4 = 0

5p = 4

p = 4/5

Substitute p = 4/5 into p = x², we get:

x² = 4/5

x = ± √(4/5)

The solutions are x = 2/√5  and x = –2/√5

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do 7 x for and you will not have any changes to your memories of your own and the fact of life that I am sure

The relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

The relation is given as

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

As a general rule:

A relation that is considered to be a function is any relation whereby the elements of the domain has exactly one element of the range.

This means that an x value must have exactly one y value

Using the above as a guide, we can conclude that the relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

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Possible question

Determine whether the relation is a function. Explain.

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

Answer:

Associative property of addition!

Step-by-step explanation:

You have to add the numbers a lot!!

Commutative property is the answer Bec of addition says that the change in order of numbers in addition will not change the result.

Therefore, for variable x and y the commutative property of addition is x+y=y+x.

Step-by-Step:

___________

1. We are given the following:

[tex]4 < -9.9-(-10x+1)[/tex]

This being said, the first thing we need to do is switch sides, writing it as follows:

[tex]-9.9-(-10x+1) > 4[/tex]

___________

2. Next, we need to add 9.9 to both sides of the equation.

[tex]-9.9-(-10x+1)+9.9 > 4+9.9[/tex]

___________

3. Then, we simplify.

[tex]-(-10x+1) > 13.9[/tex]

____________

4. Now, we add 1 to both sides of the equation.

[tex]10x-1+1 > 13.9+1[/tex]

____________

5. We simplify again.

[tex]10x > 14.9[/tex]

____________

6. Next, we divide both sides by 10.

[tex]\frac{10x}{10} > \frac{14.9}{10}[/tex]

____________

7. Finally, simplify one more time.

[tex]x > 1.49[/tex]

Hence, out solution is [tex]x > 1.49[/tex]

Hope this helps!

The inverse of the function y = log₂(2x) is f ⁻¹(x) = 2ˣ⁻¹.

Given the function is :y = log₂ 2x

we are asked to find the inverse of the function.

steps to find inverse function are:

Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.

To get x = ay + b from the equation y = ax + b, replace x with y and y with x.

Here, find y and solve for x = ay + b.

Then we get y = (x - b/a).

Finally, we can substitute y = f-1(x) with f-1(x) = (x - b)/a.

now interchange the positions of x and y in the function.

x = log₂ 2y

the next step is to isolate the dependent variables.

f ⁻¹(x) = 2ˣ ⁻ 1

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The rate at which the temperature of the compound rose is 2 degree per hour.

To figure this problem we will use unitary method where unitary method is a method where we find the value of the single unit and then multiply the value of single unit to the number of units to get the necessary value.

But according to the question we have find the value of only single unit.

Therefore we have been given that

     every [tex]1\frac{3}{4}[/tex] hours = temperature of compound rose [tex]3\frac{1}{2}[/tex] degrees

Now applying unitary method we get,

         [tex]1\frac{3}{4} = 3\frac{1}{2} \\\\ \frac{7}{4} = \frac{7}{2} \\\\ 1 = \frac{7}{2} /\frac{7}{4}[/tex]

            = 2 degrees per hour

Hence the rate that the temperature of the compound rose is 2 degree per hour.

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The formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The formula A = 1/2bh

It is required to solve for b:

2A = bh

b = 2A/h

Plug A = 952 square feet

h = 56 feet

b = 2(952)/56

b = 34 feet

Thus, the formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

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The answer to this question is: og(x³y⁵) = 3log(x) + 5log(y)

In mathematics, the logarithm is that the function to exponentiation. which means the logarithm of a given number x is that the exponent to which another fixed number, the base b, must be raised, to supply that number x. within the simplest case, the logarithm counts the amount of occurrences of the identical consider repeated multiplication

To solve this question, we need only 2 identities, i.e.,

log(a*b) = log(a) + log(b)   ...(1)

log(aⁿ) = nlog(a)                ...(2)

Using 1, we can expand log x³ y⁵ as: log x³ y⁵ = log(x³) + log(y⁵)       ...(3)

Using 2, we can expand both the terms as: log(x³) = 3log(x)log(y⁵) = 5log(y)

Putting them in equation 3, we get:3log(x) +5log(y)

Therefore, log(x³y⁵) = 3log(x) + 5log(y)

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Answer:

18.84 inches

Step-by-step explanation:

Use the formula.

2πr

Use 3.14 for π.

Use 3 for r.

2(3.14)(3)

Multiply.

2(3.14)(3)=18.84

Hope this helps!

Please mark as brainliest if correct!

Answer:

50 degrees

Step-by-step explanation:

let's take the triangle to be right angled at b

so b=90                           1                

and c=40 (assumption)   2

so a+b+c=180(angle sum property)

from 1 and 2

a+90+40=180

a=180-130

therefore a=50

Answer:

50

Step-by-step explanation:

90= right side

40= acute side

180 - (90+ 40)= 50.

Answer:

i say it would be "None of these"

Step-by-step explanation:

because say x=sisters age so, x=12     if lisa if 4 years youger, than x-4=8    (x-4)-x=(-2)      x-(x-4)=4      (x+4)-x=4    so therefore it would be none.

Answer:

none of these

Step-by-step explanation:

because we don't know her sisters age we'll use "x" and Lisa is 4 years younger so you deduct 4 from x and the equation will be '4-x'

Go ahead and ask the question!! <3

The required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11.\

A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.

According to given question we have

In the analysis of the given options, the most likely answer to this question is A rewards customer earns 2 free ounces of yogurt because total amount paid for 10 ounces and 12 ounces is the same.

Also 9 dollars spent at 20 ounces.

Therefore, the required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

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Answer:

A

Step-by-step explanation:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Answer:

#2 Alternate interior angles: 4 & 5 and 3 and 6

#4 :

m∠6 = 55°

m∠3 = 55°

m∠1 = 125°

Reasons: See below

Step-by-step explanation:

Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.

So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°

Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°

Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°

Answer:4/ 1/5=20 or 4/.20=20

Step-by-step explanation: brainliest?

Answer:

In the image above

Step-by-step explanation:

Vertical line: A vertical line is a collection of points whose x -coordinate is the same for any y -coordinate. The equation of a vertical line is given by: x=c where c is a real number.

Check the picture below.

The expression is simplified to  -5. 05u - 6

An algebraic expression can be defined as a mathematical expression made up variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

From the information given, we have the expression;

(3.65u − 11) − (−5 + 8.7u)

Now, expand the bracket, we get;

3. 65u - 11 + 5 - 8. 7u

collect like terms

3. 65u - 8. 7u - 11 + 5

Add/substract the values

-5. 05u - 6

Hence, the expression is -5. 05u - 6

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According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = [tex]\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}[/tex]

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = [tex]\frac{-4}{(x+3)}[/tex]

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is [tex]\frac{-4}{(x+3)}[/tex]

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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