What is the measure of <R? ​

Answer:

The simplest form of the expression is 16 a²b²

Step-by-step explanation:

* Lets explain how to solve the problem

- To simplify any fraction with exponent you must put it with positive

 exponent

- Ex: the fraction [tex](\frac{2}{3})^{-1}[/tex] not in the simplest form

 because it has negative exponent

- To change the negative exponent to positive exponent reciprocal the

 fraction, [tex](\frac{3}{2})^{1}[/tex] and this is the simplest form of the fraction

* Now lets solve the problem

∵ The expression is [tex](\frac{1}{4ab})^{-2}[/tex], where a and b ≠ 0

- At first reciprocal the fraction

∴ [tex](\frac{1}{4ab})^{-2}=(\frac{4ab}{1})^{2}[/tex]

- Then solve the power

∵ 4² = 16

∵ (ab)² = a²b²

∴ (4ab)² = 16 a²b²

* The simplest form of the expression is 16 a²b²

Answer:

16 a²b² is option D on e2020

Step-by-step explanation:

100% on test

Answer:

First number 2

Second number 1

Step-by-step explanation:

Let the first number = x

Let the second number = 3x - 5

Equation

x + 3x - 5 = 3                    

Solution

x + 3x- 5 = 3                   Combine

4x - 5 = 3                        Add 5 to both sides

4x - 5 + 5 = 3 + 5           Combine

4x = 8                              Divide by 4

4x/4 = 8/4                       Combine

x = 2

3x -5 = 3(2)- 5 = 1

Let's go through the steps.

d/5 +12 = -15

1. Multiply both sides by 5.

Doing this we get:

d + 60 = - 75

2. Subtract 60 from both sides.

d = - 75 - 60

d = -135

Step 2 above is the final step taken to find the value of d.

Answer:

-2-3i  in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

Answer:they dont

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3(3)+2(11)=31

Answer:

x = - 3 and x = 1

Step-by-step explanation:

Given the rational expression

[tex]\frac{x}{x^2+2x-3}[/tex]

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Thus x = 1 and x = - 3 are both excluded values

Answer:

= -46

Step-by-step explanation:

Since, it is below zero, it is in the negatives. Therefore, it is -46.

Answer:

-46

Step-by-step explanation:

Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.

Here are some other examples:

54 degrees below zero  →  -54

negative 120  →  -120

16 degrees below zero  →  -16

Answer:

1/7

Step-by-step explanation:

Divide each number by 5.

5/5=1

35/5=7

Answer:

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 35 is 5

Divide both the numerator and denominator by the GCD

5 ÷ 5

35 ÷ 5

Reduced fraction:  

1

7

Answer:

x = 10/19

Step-by-step explanation:

[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

We have,

To solve the equation log x - log(2x-1) = 1, we can use logarithmic properties to simplify the equation.

First, we can apply the quotient rule of logarithms, which states that

log a - log b = log(a/b).

Applying this rule to the equation, we get:

log(x / (2x-1)) = 1

Next, we can rewrite the equation in exponential form, using the definition that log base a of b is equivalent to a raised to the power of the logarithm equals b.

In this case, the base is 10 since we are using common logarithms (log base 10):

[tex]10^1[/tex] = x / (2x-1)

Simplifying the left side, we have:

10 = x / (2x-1)

To eliminate the denominator, we can multiply both sides of the equation by (2x-1):

10(2x-1) = x

Expanding the left side:

20x - 10 = x

Now, we can isolate the variable x:

20x - x = 10

19x = 10

Dividing both sides by 19:

x = 10/19

Therefore,

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

Learn more about equations here:

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Answer:

25

Step-by-step explanation:

20 books in 4 months is 5 books in 1 month.

20÷4=5

4÷4=1

1×5=5

5×5=25

Answer:

90

Step-by-step explanation:

Divide the larger number by the smaller number

If the remainder is zero then the larger number is the LCM

If not repeat with multiples of larger number

90 ÷ 15 = 6 remainder 0

Since remainder is 0 then 90 is the LCM of 15 and 90

The specified expression simplifies to -r² + r - 44. Steps to find equivalent expressions include gathering like terms and utilizing the distributive property.

The expression (2r²+r-1) – (3r²+48-5) can be rewritten as 2r²+r-1 - 3r² - 48 +5. For the r² terms, combine 2r² and -3r² to get -r². For the constant terms, combine -1, -48 and +5 to get -44. And there's only one r term which is r. Together, these give the equivalent expression as -r² + r - 44.

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The expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.

To find the equivalent expression, we need to distribute the negative sign into the second set of parentheses.

Then, combine like terms.

The expression becomes: (2r2 + r - 1) - 3r2 - 48 + 5.

Combining like terms further, we have: 2r2 + r - 1 - 3r2 - 48 + 5

Now, combine the like terms again: (2r2 - 3r2) + r + (-1 - 48 + 5). Simplifying this gives us: -r2 + r - 44

Therefore, the expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.

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Answer:

$3

Step-by-step explanation:

4/$6 = 2/$3

Answer:

3

Step-by-step explanation:

ywwwwww

Answer:

Yes

Step-by-step explanation:

If you divide 12 by 9, you get 1.33... and if you divide 20 by 16, you get 1.25 so Barry can eat more hot dogs in less amount of time than Lou can.

Answer:

yes

Step-by-step explanation:

Answer:

161.5 degrees

c- 4, 140

Answer: C

Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p

As for the 19-gon, the sum is 360

Answer:

No, 2.171m.

Step-by-step explanation:

Add all of measurements. 3.52+17.3+27.009=47.829

Compare 2 numbers.

47.829<50

So she needs more ribbon,because the length she has is less the requirement, 50m.

Find the difference(the length she needs).

50-47.829=2.171

Answer:

A closed dot means (or equal to) which i will be signifying with bold numbers

3) 2 < x > 5

4) 5 < t > 3

5) -3 < m > -1

6)  -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)

7) 36 > Fridge < 46

Answer:

$91.75

Step-by-step explanation:

Jessica is paid:

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]

Altogether Jessica is paid

[tex]\$29.25+\$62.50=\$91.75[/tex]

Answer:

I cant answer it because it blocked the equation can you show the details on text?

Step-by-step explanation:

Answer:

The coefficient of b is 1

Step-by-step explanation:

we know that

In a mathematical equation, a coefficient is a constant by which a variable is multiplied

so

A coefficient is a constant multiplied by a variable.

In this problem we have

b+10

Rewrite'

b+10=(1)b+10

therefore

The coefficient of b is 1

Final answer:

The simplified form of the expression  [tex]3 \sqrt(4x/5) \ is\ 6 \sqrt(5x) / 5[/tex]after performing the square root separately on the numerator and denominator, and then rationalizing the denominator.

Explanation:

The expression given is [tex]3 \sqrt(4x/5)[/tex]. To simplify this expression, we observe that the square root of 4 is a perfect square and equals 2. The square root of the fraction can be taken by applying the square root to the numerator and the denominator separately. Therefore, we have:

[tex]3 \times \sqrt(4) \times \sqrt(x) / \sqrt(5)[/tex]

Upon simplifying, we get:

[tex]3 \times 2 \times \sqrt(x) / \sqrt(5)[/tex]

This simplifies further to:

[tex]6 \sqrt(x) / \sqrt(5)[/tex]

However, it's not common to leave a square root in the denominator, so we can multiply both the numerator and the denominator by sqrt(5) to rationalize the denominator.

The final simplified form is:

[tex]6 \sqrt(5x) / 5[/tex]

Final answer:

The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).

Explanation:

To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:

The range for the given domain is (-9, 3, 9).

Answer:

C.14¾

3 9⁄10

Step-by-step explanation:

[tex] \frac{4}{5} + 3 \frac{1}{10} = \frac{8}{10} + 3 \frac{1}{10} = 3 \frac{9}{10} [/tex]

[tex]4 \frac{7}{12} + 2 + \frac{3}{4} + 7 \frac{5}{12} = 13 \frac{12}{12} + \frac{3}{4} = 14 + \frac{3}{4} = 14 \frac{3}{4} [/tex]

I am joyous to assist you anytime.

Answer:

152

Step-by-step explanation:

4(3x + 5)

4(3(11) + 5)

4(33 + 5)

4(38)

152

Answer:

5 12/25

Step-by-step explanation:

The first step is to separate the whole number number from the decimal.

that would be 5

Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100

So now we have the whole number 5 and the fraction 48/100

Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2

This equals 24/50

This can be simplified even more

24 divided by 2 and 50 divided by 2

This equals 12/25

Then we put the whole number in front and your final answer is

5 12/25

Answer:

The list of angle of rotation is zero

Step-by-step explanation:

* Lets revise some definitions about isosceles trapezoid

- An isosceles trapezoid is a trapezoid with congruent base angles

- An isosceles trapezoid has congruent legs

- An isosceles trapezoid has 1 axis of symmetry

- An isosceles trapezoid has no rotational symmetry

* Lets solve the problem

- From the attached figure:

∵ The figure is quadrilateral

∵ The quadrilateral has only a pair of parallel sides

∵ The parallel side not equal in length

∵ The other two sides of the quadrilateral are equal in length

∴ The quadrilateral is an isosceles trapezoid

∵ The isosceles trapezoid has no rotational symmetry

∴ There is no angle of rotation

∴ The list of angle of rotation is zero

Answer:

the answer is 0

Step-by-step explanation:

Answer:

7%

Step-by-step explanation:

Answer:

7% is the correct answer

Answer: True

Step-by-step explanation:

A linear function is of the form: y = mx + b    where

The given equation is y = 4x

In this equation, m = 4 and b = 0 so it is a linear function.