Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.

R = 7.42 inches

Have a Merry Christmas!

Answer:

4

Step-by-step explanation:

Im sure it is as y=mx +c c being the interceot and mx as the gradient

Answer:

Step-by-step explanation:

Answer:

You need to write log_2 80 in terms of log_2 5 , such that:

log_2 80 = log_2 (8*10)  

Using the properties of logarithms, you need to convert the logarithm of product in summation of logarithms, such that:

log_2 (8*10)= log_2 8 + log_2 10

Since log_2 10 = log_2 (2*5) , yields:

log_2 (8*10)= log_2 8 + log_2 (2*5)

log_2 (8*10)= log_2 8 + log_2 2 + log_2 5

You need to write 8 as power of 2, such that:

log_2 (8*10) = log_2 (2^3) + log_2 2 + log_2 5

Using the power property of logarithms, log_a b^c = c*log_a b  yields:

log_2 (8*10) = 3log_2 2 + log_2 2 + log_2 5

Since log_2 2 = 1 yields:

log_2 (8*10) = 3 + 1 + 2.3219

log_2 (8*10) = 4 + 2.3219 => log_2 (8*10) = 6.3219

Hence, evaluating the given logarithm , using the indicated properties of logarithms, yields log_2 (8*10) = 6.3219 .

Step-by-step explanation:

The value of [tex]log_2{80}[/tex] if [tex]log_25 = 2.3219[/tex] is 6.3219.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]log_25 = 2.3219[/tex].

Now, To obtain the value of [tex]log_2{80}[/tex] we'll break it into suitable smaller parts.

Therefore,

[tex]log_2{80} = log_2({8\times10})[/tex].

[tex]log_2{80} = log_28 + log_210[/tex]

[tex]log_2{80} = log_28 + log_2({2\times5})[/tex].

[tex]log_2{80} = log_28 + log_22 + log_25[/tex].

[tex]log_2{80} = 3 + 1 + 2.3219[/tex].

[tex]log_2{80} = 6.3219[/tex].

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Answer:ITS NOT D

Step-by-step explanation:

The component form of the velocity vector of the airplane is 150√2 mph.

The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.

The velocity vector is calculated as:-

[tex]\widehat{V}[/tex] = Vcos45

[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )

[tex]\widehat{V}[/tex] = ( 2 x 150 ) / √2

[tex]\widehat{V}[/tex] = 150√2 mph

Hence, the velocity vector of the airplane is 150√2 mph.

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Answer:

1.5 miles per hour.

Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.

Answer:

Srry im late

Step-by-step explanation:

what i miss

Answer:c

Step-by-step explanation:

Answer:

B. No. -6.5 is to the left of -6.3 on a number line. He should have switched the last two numbers.

Step-by-step explanation:

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Step-by-step explanation:

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it

Answer:

P = 5r + 9

Step-by-step explanation:

Answer: Answer and explanation in pic

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

0.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Goal = > $2500

Amount raised = $700

Amount needed to raise = $2500 - 700 = $1800

Number of candy bars needed = x

Price of a candy bar = $1.50

1.5x > 1800

x > 1800 ÷ 1.5

x > 1200

Answer: They need to sell more than 1200 candy bars.

Answer:

2) Square

hope this help

The quadrilateral must have diagonals that are congruent and perpendicular is Square.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

According to the question

Properties of following for their diagonals are :

Rhombus :

In a rhombus, diagonals bisect each other at right angles.

Diagonals bisect the angles of a rhombus.

Square:

The diagonals of the square bisect each other at 90°

The two diagonals of the square are equal to each other.

Trapezoid:

The length of both the diagonals is equal.

The diagonals of a trapezium always intersect each other.

Parallelogram:

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Therefore, according to there properties for their diagonals condition

that quadrilateral must have diagonals that are congruent and perpendicular  is satisfied by square only .

Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.

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Answer:

y=x+4

Step-by-step explanation:

So uh, i dont know how to explain, but fairly sure its y=x+4  

Answer:

Y-intercept is 5.5 and the X-intercept is -7.5

Step-by-step explanation:

Answer:

135°

Step-by-step explanation:

Interior angle= (n-2)/n ×180°

n= no. of sides

so,

putting the value of n which is 8

(8-6)/8 × 180

=135°

The measure of each interior angle of the sign is 135 degrees.

The correct option is D.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

In a regular octagon, all the interior angles are equal.

The formula to find the measure of each interior angle of a regular polygon with n sides is:

measure of each interior angle = (n-2) x 180 / n

For an octagon, n = 8, so we can substitute this value into the formula and simplify:

measure of each interior angle = (8-2) x 180 / 8

measure of each interior angle = 6 x 180 / 8

the measure of each interior angle = 135 degrees

Therefore, the measure of each interior angle = 135 degrees.

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Answer:

Thats the FSA ummmm-

Step-by-step explanation:

Answer:

D. 12 servings

Step-by-step explanation:

Normally, when working with fractions, I would like to make the denominators of both fractions the same.

[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings

[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings

[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings

Answer: x intercept (4,0) y intercept (0,3)

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

depending on what W-T looks like it seems the best answer

♡ The Question ♡      

Quadrilaterals PQRS and TUVW are similar.  

What is the value of b in yards?  

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3.2 yd!  

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No Explanation/Step-By-Step provided!    

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Answer:

we conclude that when we substitute b = 15, the solution of the inequality becomes:

[tex]a>-3[/tex]

Therefore, the value of b = 15.

The solution graph is also attached.

Step-by-step explanation:

Given the inequality expression

[tex]a+b>12[/tex]

Putting b = 15 in the inequality expression

[tex]a+b>12[/tex]

[tex]a+15>\:12[/tex]

subtract 15 from both sides

[tex]a+15-15>12-15[/tex]

simplify

[tex]a>-3[/tex]

Thus, we conclude that when we substitute b = 15, the solution of the inequality becomes:

[tex]a>-3[/tex]

Therefore, the value of b = 15.

The solution graph is also attached.

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Answer:

4 i believe

Step-by-step explanation:

Answer:

∠A = 104

Step-by-step explanation:

Triangles are equal to 180° so if one angle is 38° and the other angel is equal to 38°, then the third angle must make each of those angles add up to 180.

If you add 38 + 38 and subtract the sum from 180 you will get the measurement of angle A

(38 + 38) - 180 = 104