Brice worked for 31.5 hours this week. Two-thirds of this time was spent working from home. How many hours did he spend working from home?

The value of x for 2 log x + log 4=2 is 5.

The exponential equation x = ay is defined as being identical to the logarithmic function y = logax. Only when x = ay, a > 0, and a 1 does y equal logax. It is known as the base-a logarithmic function. Think about what the exponential function's inverse means: x = ay.

Given,

2 log x + log 4=2

log x² + log 4 = 2

log(4x²) = 2

4x² = 10²

2x = 10

x = 5

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Answer:

Pretty sure it is x^10 z^7

The geometric probability that Juan will score more than 0 points = 0.785

Juan's game board consists of a square with a circle inscribed in it.

If he hits the circle, then he can score more than 0 points.

Length of side of the square = 50 cm

So area of the square = 50 x 50 = 2500 square cm.

Now the area of the large circle = 1963.5 square cm.

Geometric probability that Juan will score more than 0 points

                              = Area  of the circle / Area of the square

                              = 1963.5/2500

                              = 0.785

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Answer:

Step-by-step explanation:

the answer would be B) 0.215

Answer:

I don't know this answer

It totally depends on the value of a , that it will stretch or compress.

A function change that makes a graph bigger or narrower is called a stretch or compression. To stretch a graph is to enlarge or reduce its size. Transformations are used to change the graph of a parent function into the graph of a more complex function.

1. Determine a's value.

2. Multiply each value in the range by a.

3. The graph is distorted by an amount equal to aa if a>1.

4.The graph is compressed by a factor of aa if 0<a<1.

5.If a<0, the graph is distorted around the x-axis and either stretched or compressed.

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Answer:

you add 40+12+25+2+610 and you will get your answer

Answer:

Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book

Step-by-step explanation:

Let X be the hours spent reading the more difficult book
Let Y be the hours spent reading the less difficult book

Total hours spent = X + Y = 40

Number of pages of difficult book in X hours at 12 pages per hour = 12X

Number of pages of easier book in Y hours at 25 pages per hour = 25Y

Total pages read = 12X + 25Y

So we have two equations in X and Y and we can solve them simultaneously. Equations are:

  X + Y = 40                    (1)

12X + 25Y = 610             (2)

We can eliminate one of the variable terms by making the coefficients of the other term equal and then subtracting

Multiply (1) by 12 to make X terms equal
12(X + Y) = 12 x 40
12X + 12Y = 480                (3)

Subtract (3) from (2)

(2) - (3)

==> 12X + 25Y - (12X + 12Y) = 610 - 480

==> 12X + 25Y - 12X - 12Y = 130

==> 25Y - 12Y = 130                           (12X terms cancel)

==> 13Y = 130

==> Y = 130/13                                     (divide both sides by 13)

==> Y = 10

Using (1)
X + Y = 40

==> X + 10 = 40
==> X + 10 - 10 = 40 - 10

==> X = 30

So answer:
Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book

Answer:

I named them in alphabetical order, ordering letters from bottom to top e.g a ray has A at the bottom and B at the top. That would be ray AB.

Answer: 10 (2 legged) and 8 (4 legged)

Step-by-step explanation:

Answer:12 4 legged and 6 2 legged animals

Step-by-step explanation:

quick mafs

The solution to the division operation is 3 with a remainder of 0.

From the question, we are to determine the quotient and the remainder from dividing the given polynomials

The given division operation is

(6x² + 6) ÷ (2x² + 2)

Using the long division method

                       3

2x² + 2 ) 6x² + 6

            - 6x² + 6  

                       0  

The quotient of the division operation is 3 and the remainder is 0. The divisor is 2x² + 2

Hence, the solution is 3 + 0/(2x² + 2)

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Answer:

641.86 awnser

Step-by-step explanation:

The number of at-the-door tickets that must be sold to reach the goal is 100.

The system of linear equations that can be used to determine the required values are:

10p + 15d = $3500 equation 1

p + d = 300 equation 2

Where:

To determine the value of d, take the following steps:

Multiply equation 2 by 10

10p + 10d = 3000 equation 3

Subtract equation 3 from equation 1

5d = 500

Divide both sides of the equation by 5

d = 500 / 5

d = 100

An alternate way to solve this question is to use the provided graph. Trace the point where the two curves meet to the y-axis. When traced the the y-axis the value gotten is 100.

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Answer:

No solutions.

Step-by-step explanation:

The absolute value cannot be less than 0

The relationship is not functional

In the table, students 1 and 3 are having the same output. Therefore, a table cannot be a function if there are two inputs that have the same output.

Thus, the relationship between the students and the tickets sold is not a function A function is a relation in which one input can have only one output.

Let the students be = x

Let the number of tickets sold by the student be = y

Thus, from the table, it can be inferred -

Student 1 and student 3 are having the same number of outputs meaning that the number of tickets sold by student 1 and student 3 is the same.

Thus,

There is no function between the students and the number of tickets sold.

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The measure of angle A is 75 degree.

What is Polygon?

Polygon is a two-dimensional geometric figure that has a finite number of sides.

Now, Translations do not change the same number because the translation is stationary. Because stationary means that it is steady and does not move anywhere.

Hence, The measure of angle A is 75 degree.

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Answer: x>=-11

Step-by-step explanation:

|x + 11 | = x + 11

x+11=x+11 ==> x+11>0 since absolute value functions are greater than 0

x=x when x+11>0

x+11>0

x+11-11>0-11

x>-11

x+11=-(x+11)  

x+11=0    ==> the only time a positive and negative number are equal is when the number itself is 0. Here, the number is 'x+11'.

x+11-11=0-11

x=-11

x=-11 and x>-11 ==> x>=-11

Answer:

Si estamos hablando de fracciones sería 13/30, si es en porcentaje solo divide 13÷30

Step-by-step explanation:

Para iniciar tenemos que encontar un denominador común, que seria el treinta, entonces sería como este 12/30+5/30=17/30, y luego restamos 17 a treinta, y lo que te da es el resultado, espero que te ayude.

Answer:10

Step-by-step explanation:

Using the distributive Property method.

Answer:

1200

Step-by-step explanation:

The system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is given by:

S + J = 11.

45S + 15J = 285.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In order to write the system of equations that can be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased, we would assign variables to them as follows:

Therefore, the system of equations that represents the given word problem include the following:

S + J = 11

45S + 15J = 285

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Answer:

What is the price per pound of the goji berries? A. $1.00 per pound ... The ratio of boys to girls at Louisiana Middle School is 3 : 5.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

you have -4 and it is a negative number so you take it away from 5 and you get 1

Answer:

0.7

Step-by-step explanation:

add like you would normally

We get that when the expression 5 ∛ 9 y² . ∛ 24 y is simplified using multiplication, we get the result as 30 y.

We are given the expression:

5 ∛ 9 y² . ∛ 24 y

We need to multiply to simplify the expression.

First, we know that:

9 = 3 × 3

24 = 2 × 2 × 2 × 3

So,

∛ 24 = 2 ∛ 3

So, we get the expression as:

5 ∛ 9 y² . 2 ∛ 3 y

Multiply the terms, we get that:

10 ∛ 27 y³

= 30 y

Therefore, we get that when the expression 5 ∛ 9 y² . ∛ 24 y is simplified using multiplication, we get the result as 30 y.

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The inverse function returns the original value for which the output of a function was given

The inverse of this function is x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x.

If y varies inversely as x and x = 5 when y = 2, the constant of variation is k = xy = 5(2) = 10.

As a result, the equation for this inverse variation is xy = 10 or y = 10/x. Write an equation describing the inverse variation of y if it varies inversely as x and y = 6.

When x = 6, k = (6) = 8.

Let the function be y = 3x² - 5

y = 3x² - 5

Switch sides and add 5 to both sides

3x²  = y + 5

Divide both sides by 3

x² = y + 5/3

Take the square root of both sides

x = ± [tex]$\sqrt{\frac{y+5}{3} }[/tex]

x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

Therefore, the value of x = [tex]$\sqrt{\frac{y+5}{3} }[/tex]

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Answer: for number 1 it is 9 number 2 is 24 number 3 is 4 and number 4 is 31

Step-by-step explanation: hope this is it

Answer: Hence the ratio will be 2 : 30, and then divide both sides by 2 to get 1 : 15 as the ratio in its simplest terms.

Step-by-step explanation: