Suppose loga(2) = b and loga(3) = c. Compute loga(108/a^3)

Answer:

5 and 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

(a)

y = 5x - 3 ← is in slope- intercept form

with gradient m = 5

(b)

3y - 12x + 7 = 0 ( add 12x to both sides )

3y + 7 = 12x ( subtract 7 from both sides )

3y = 12x - 7 ( divide through by 3 )

y = 4x - [tex]\frac{7}{3}[/tex] ← in slope- intercept form

with gradient m = 4

Answer:  The correct answer is Option D: h=2A/(b1+b2)

Step-by-step explanation:

Solve for h:

a=(1/2h)(b1+b2)

Step 1: Flip the equation

1/2b^2h+1/2b1h=a

Step 2: Factor out variable h

h((b2+b1)/2)=a

Step 3: Divide both sides by (b^2+b1)/2

h((b2+b1/2))/(b2+b1/2)=(a/(b2+b1)/2)

h=2a/(b2+b1)  

Remember to vote for this as Brainliest if I earned it!   :)

Answer:

Step-by-step explanation:

2427

The best estimation for the range of the oldest 25% is 20, so the correct option is the last one.

The graph is separated in four parts, each part represents a 25% of the population.

The oldest 25% would be the last segment (the line in the right of the graph).

The range is defined as the difference between the largest value and the smallest value.

The segment starts at:

a = 35

And ends at:

b = 55

Then the range is something like:

55 - 35 = 20

The correct option is the last one.

Learn more about ranges:

https://brainly.com/question/24326172

#SPJ1

The distance of the intersection of 3 perpendicular bisectors of a triangle to  the 3 vertices are equal.

In other words, HF = HE = HG.

Therefore, we see that 3 isosceles triangles are identified : HFE, HFG, HGF.

We're given HF = 15, therefore HE = 15.

Since HJ is the perpendicular bisector of line EG, JE = JG.

Therefore, JE = 12.

Now, we use the Pythagorean theorem in the right triangle HJE :

[tex]HE^{2} = HJ^{2} + JE^{2} - > HJ = \sqrt{15^{2} - 12^{2} } =\sqrt{81} = 9.[/tex]

Veremos que originalmente tenias $300, y el valor de la compra fue de $90

Definamos X como la cantidad original de dinero. Ahora trabajaremos con porcentajes.

Sabemos que tu gastaste 30% de esto, entonces lo que te sobra es:

0.7*X

Sabemso qe si hubieras gastado el 40% (en este caso te sobra 0.6*X), te sobrarian 30 dolares menos, entonces podemos escribir:

0.7*X = 0.6*X + $30

Resolviendo para X

0.7*X - 0.6*X = $30

0.1*X = $30

X = $30/0.1 = $300

Originalmente tenias $300 dolares, y gastaste:

$300*0.3 = $90

Aprende más sobre porcentajes:

https://brainly.com/question/843074

#SPJ1

Answer:

3

Step-by-step explanation:

A line parallel to the line 4x + 7y = 49 - 2x + 4y must have a slope of - 2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given a line that is 4x + 7y = 49 - 2x + 4y.

7y - 4y = - 2x - 4x + 49.

3y = - 6x + 49.

y = - 2x + 49/3.

Now, lines parallel to each other have the same slope.

Now if we simply the given options none of the lines have a slope of - 2 so none of the given lines are parallel to the line 4x + 7y = 49 - 2x + 4y.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ1

By using addition and multiplication, the result obtained is

Kianna saves $3020 this year

What is addition and multiplication?

Suppose there are many numbers. To get the sum total of all the numbers, addition is used

Repeated addition is called multiplication

Addition and multiplication will be used here

Amount of money Kianna saves each month for the first 7 months = $215

Total amount of money Kianna saved in the first 7 months = $215 [tex]\times[/tex] 7

                                                                                                  = $1505

Amount of money she saves each month for the last 5 months = $305

Amount of money she saves in the last 5 months = $305 [tex]\times[/tex] 5 = $1515

Total amount of money Kianna saves this year = $(1505 + 1515)

                                                                              = $3020

To learn more about addition and multiplication, refer to the link-

https://brainly.com/question/4721701

#SPJ9

The roots for the given quadratic equation 2x² - 9 = 3x is {3, -1.5}.

What is a quadratic equation?

The Quadratic equations are second-order polynomial equations such as ax² + bx +c = 0 for x, where a ≠ 0.

It has at least one solution that could be real or complex.

The given equation is 2x² - 9 = 3x.

Now expressing in the form of ax² + bx + c = 0, we get

                        2x² - 3x - 9 = 0,

a = 2, b = -3, c = -9, Now solving the above equation, we get

                       2x² - 6x + 3x - 9 =0

                       2x(x - 3) + 3(x - 3) = 0

                       (x - 3)(2x + 3) = 0

               x - 3 = 0       (or)        2x + 3 = 0

                x = 3            (or)         x = -1.5

Hence, the roots of the equation are {3, -1.5}.

To learn more about the roots of the quadratic equation, visit:

https://brainly.com/question/1214333

#SPJ13

Answer: The answer is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3)      Distribute the + and - since they are outside the parenthesis

-4 - 1 + 3            Subtract 1 to -4

-5 +3                 Add 3 to -5

-2

Answer: 120

explanation: We already have our first value 36 and the second value 30. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 136 = 30% × Y

STEP 236 =

30

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3Y = 36 ×

100

30

STEP 4Y = 36 × 100 ÷ 30

STEP 5Y = 120

Finally, we have found the value of Y which is 120 and that is our answer.

You can easily calculate 36 is 30 percent of what number by using any regular calculator, simply enter 36 × 100 ÷ 30 and you will get your answer which is 120

Answer:

The value of the equation will be 14

Answer:

B (-2,-20)

Step-by-Step Explanation:

f(x)=3x^2 + 12x - 8

a=3 b=12

x=-12/2*3

x=-2

f(x)=3(-2)^2 + 12x - 8 , x=-2

f(-2) = -20

solution (-2,-20)

The probability that at least one of the shirts you draw will be pink 46/51.

What is probability?

The likelihood of an event happening is determined by probability. There are many instances in real life where we may need to make predictions about how something will turn out combination . The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence. By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. The likelihood of an event occurring might range from 0 to 1.

Here the number of pink shirts=8

Number of green shirts=6

Number of red shirts=4

Here if you draw 2 shirts random then,

P(neither the shirt is blue) = [tex]\frac{6}{18} *\frac{5}{17}[/tex] = [tex]\frac{5}{51}[/tex]

Now the at least one of the shirt is pink then,

=> P( at least one shirt is pink)= 1-[tex]\frac{5}{51}[/tex] = [tex]\frac{51-5}{51}[/tex] = [tex]\frac{46}{51}[/tex]

Hence the probability that at least one of the shirts you draw will be pink 46/51.

To learn more about probability refer the below link

https://brainly.com/question/13604758

#SPJ4

Answer:

56%

Step-by-step explanation:

112/200 as a percentage

112/200 = 0.56

0.56 as a percentage:

0.56 * 100 = 56%

Answer::

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, your question, 112/200

112/200 is 0.56 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.56 would be 56,

therefore the percent of 112/200 would be 56%

Have a good day! <3

The sides of the triangle are 150m, 200m and 250m.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: The sides of a triangle are in the ratio of 3:4:5. A man jogged around it 5 times and cover a distance of 3000m.

As man jogged around triangle  5 times and cover a distance of 3000m.

So, the distance for one round is 3000/5 = 600m.

The covered distance is nothing but the perimeter of the triangle.

So, the perimeter of the triangle is 600m.

Let, 3x, 4x, 5x are the sides of the triangle.

⇒ 3x + 4x + 5x = 600

                 12 x = 600

                      x = 50

Therefore,

3x = 3(50) = 150

4x = 4(50) = 200

5x = 5(50) = 250

Hence, the sides of the triangle are, 150m, 200m and 250m.

To know more about the distance, click on the link

https://brainly.com/question/17146782

#SPJ9

The probability that the sample mean is less than 200 pounds is 33% or 0.33

Given that,

The average annual meat consumption in the United States was 218.4 pounds, with a standard deviation of 42 pounds, and was normally distributed. A random sample of 30 individuals was chosen.

Mean  (μ) = 218.4

Standard deviation (σ) =42        

Probability = P(X< 200) = P[(X-μ ) / σ < (200-218.4) /42 ]

= P(z <-0.44 )

Using z table                                            

=0.3300

Probability=0.3300                                                        

Therefore, 33% or 0.33 of the time, the sample mean will weigh less than 200 pounds.

Learn more about Standard deviation :

brainly.com/question/14747159

#SPJ4

Answer:

Step-by-step explanation:

16/(2+6)

16/8=2

Answer:

56cm²

Step-by-step explanation:

Because this is an irregular shape, you have to split it into two shapes and find the area of each one. Then you can add those two areas together to find the total area of the figure. There are many ways you can split it but the way I did it left me with the equation (12·3)+(4·5). Then all you have to do is multiply and add which will give you a total of 56cm².

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

Given,

In the question:

Figure A is a polygon that has been graphed on a coordinate grid.

To select the option:

Which of the following transformations will result in a similar image to figure A?

Now, According to the question;

The correct options are:

=> Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

{If the two figures are similar, then their angles are not changed. The ratio of length are the same.}

Hence, => Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

=>  Reflect figure A across the y-axis, and dilate it by a scale factor of 4.

Learn more about Transformation of Polygon at:

https://brainly.com/question/13012464

#SPJ1

Answer:

The answer would be -4/5

Step-by-step explanation:

When you add a negative to a negative, you first take out the plus sign and rewrite it as: -2/5 - 2/5.

Now you just simply subtract 2/5 from -2/5 to get -4/5.

Hope this helps.

Please give brainliest

In given word problem ending time of the play is 10.50 AM.

What is word problem?

 A comprehensive list of math word problems focuses on addition, subtraction, multiplication, division and more specific operations. life scenario. This means that children must be familiar with vocabulary associated with familiar mathematical symbols in order to understand word problems.

Here starting time of play = 9:05 AM

It took 1 hour 45 minutes to end the play. Then ,

=> 9 hour  05 minutes

    1 hour   45 minutes +

=> 10 hour 50 minutes.

Hence ending time of the play is 10.50 AM.

To learn more about word problem refer the below link

https://brainly.com/question/21405634

#SPJ4

Answer: 1 11/20

hope this helps :)

Answer:The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation:Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

The correct table is :

x   g(x)

1   -10

2   -12

3   -14

Given, f(x) = x+4

and g(x) = -2.f(x)

we check for x = 1

f(x) = 1+4

= 5

now g(x) = -2.f(x)

= -2(5)

= -10

for x=2

f(x) = 2+4

= 6

now g(x) = -2.f(x)

= -2(6)

= -12

for x=3

f(x) = 3+4

= 7

now g(x) = -2.f(x)

= -2(7)

= -14

Hence we get the required values.

Learn more about Functions here:

brainly.com/question/25638609

#SPJ9

Answer:

C

Step-by-step explanation:

see the other dudes answer im jus making it easier to see and select for kids who have to hide the fact that they're cheating on their FLVS

Answer:

infinite solution

Step-by-step explanation:

Since 0 = 0 for any value of y, the system of equations has infinite solutions.

The greatest percent error among the predictions is of:

2.23%.

The percent error of a measure is obtained by the division of the difference between the actual value and the estimated value by the actual value, and multiplied by 100%, hence the equation is:

Percent error = |Actual - Estimate|/Actual x 100%.

From the given dot plot, we have that the farthest measure from 22.4 seconds is of 22.9 seconds.

The difference between the actual time and the estimate time is of:

22.9 seconds - 22.4 seconds = 0.5 seconds.

Applying the presented division, the percent error is given as follows:

Percent error = 0.5/22.4 x 100% = 2.23%.

The dot plot is given by the image at the end of the answer.

More can be learned about percent error at https://brainly.com/question/11290033

#SPJ1

The joint relative frequency is 23%. So option (1) is correct.

Joint relative frequency is defined as the ratio of a frequency that is not in the total row or column to the total number of values or observations. The marginal frequency in a two-way frequency table is the entry in the "total" for the column and the "total" for the row.

Given data:

                         Traditional     Online       Row totals

Computer:             28                62               90

Mobile device:       46                64              110

Column totals:       74               126             200

The joint relative frequency can be found by the formula:

= (Number of students using a mobile device in traditional class / Total Number of students) x 100%

Number of students using mobile devices in traditional class = 46

Total number of students = 200

= (46 / 200) x 100%

= 0.23 x 100%

= 23 %

Therefore the joint relative frequency of students in traditional classes using a mobile device is 23%.

To learn more about joint relative frequency visit

https://brainly.com/question/9553384

#SPJ1

The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

Read more about vertex and transformations at

brainly.com/question/15709421

brainly.com/question/4289712

#SPJ1