Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?

Answers

Answer 1

Answer:

.

nhuxu

Step-by-step explanation:

vxxgfx


Related Questions

The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny's rate of saving over those 12 months?
A. $14.00 per month
B. $13.75 per month
C. $15.00 per month
D. $7.14

Answers

The answer is A.
look at the graph and see that when x=12 the y value is nearly $170. then divide 170 by 12 and you get 14.16

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the following coordinates.

= (5, 70)

This means after 5 months $70 is saved.

= (10, 140)

This means after 10 months $140 is saved.

Johnny's rate of savings.

= Change in the savings amount/change in the months

= (140 - 70) / (10 - 5)

= 70/5

= $14

Thus,

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

Learn more about coordinates here:

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Which could describe the three angles of a triangle?

Two acute angles and one right angle

One acute angle and two right angles

One acute angles and two obtuse angles

One acute angle, one obtuse angle, and one right angle ??

Answers

Answer:

I would think it would be Two acute angles and one right angle.

Step-by-step explanation:

How I would describe the three angles of a triangle is two acute angles and one right angle.

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees.

A right triangle is made up of a right angle and two acute angles. A right angle has a value of 90 degrees and an acute angle has a value that is less than 90 degrees.

To learn more about a triangle, please check: https://brainly.com/question/9329354

A- 57 7/9 ft. 3
B- 11 2/3 ft 3
48 2/9 ft 3
28 2/3 ft 3

Answers

Answer:

A. 57 7/9

Step-by-step explanation:

First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.

1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.

57 7/9 is the final answer.

how to calculate the difference in time between 5:44 and 11:49​

Answers

Answer:

minutes seperately and hours seperately

6:05 is the time difference

Step-by-step explanation:

Which number is equivalent to 4.7

Answers

what are the answer choices

Solve for X (Geometry) Need some help ASAP

Answers

Given:

The figure of a right triangle.

To find:

The measure of x.

Solution:

According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.

Let "h" be the height  of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, 14 is the height  of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get

[tex]14=\sqrt{24x}[/tex]

Taking square on both sides.

[tex]196=24x[/tex]

[tex]\dfrac{196}{24}=x[/tex]

[tex]\dfrac{49}{6}=x[/tex]

Therefore, the value of x is [tex]\dfrac{49}{6}[/tex] units and its approximate value is 8.167 units.

The volume of the figure

Answers

Answer:

beeep

Step-by-step explanation:

hoonk

buuurp buuuurp

how do you solve this help​

Answers

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

what do you do on this i need it asap 40 + 56 ÷ p - q

Answers

Answer:

40 + 56/p - q

Step-by-step explanation:

This equation is weird. Your answer should be 40 + 56/p - q

The only thing that would change is writing "56 ÷ p" as a fraction.

Now, here's the weird part.

If you try to solve it after rewriting "56 ÷ p" as a fraction, your answer would look like this:

40p + 56 − qp

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

         p

Unless you have a math-based keyboard that would write 40p + 56 − qp over p as a fraction formatted like the equation shown above (instead of having to put a bunch of dashes so it looks like a long fraction line), then I'd stick with just typing 40 + 56/p - q.

Christine is 8 years younger than yuri. Express christine's age in terms of yuri's age

Answers

christine is “x” and yuri is “y”

y = x - 8

PLZ HELP ME
find measure of arc STU
39
219
135
141

Answers

Answer:

Step-by-step explanation:

141

find the area of a rectangle that has a length of 4ab^2 and a width of 6a^2b

Answers

Answer:

Step-by-step explanation:

∵A= l×b

⇒A= 4ab^2 × 6a^2b

⇒A= 24a^2b+1×b^2

Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.

I hope this helped.

A(2, 4) , B(4,0) & D(-4, 0). Here, the x- and y-coordinates are measured in meters. What is the area of the plot of land?

Answers

Answer:

[tex]Area = 16[/tex]

Step-by-step explanation:

Given

[tex]A = (2,4)[/tex]

[tex]B = (4,0)[/tex]

[tex]D = (-4,0)[/tex]

Required

The area of the plot

The given coordinates show a triangle; and the area is calculated as:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]

[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]

[tex]Area = \frac{1}{2}|-32|[/tex]

[tex]Area = \frac{1}{2}*32[/tex]

[tex]Area = 16[/tex]

The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?

Answers

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.[tex]\overline 3[/tex]

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

This oblique circular cone has a radius of 5\text{ m}5 m5, start text, space, m, end text and a height of 6\text{ m6 m6, start text, space, m, end text. What is the volume of the figure? Give an exact answer in terms of pi.

Answers

Answer:

[tex]157 m^{3}[/tex]

Explanation:

Volume = 1/3(area of base) times height. 1/3(PI X R(squared)) X height. 1/3 x 3.14 x 25 x 6 = 157

Hope this helps and have a great day/night!

             -grey

The required volume of the figure is 50π cubic meters.

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of an oblique circular cone is given by the formula:

V = (1/3) × π × r² × h

Where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

As per the question, we are given that the radius is 5 meters and the height is 6 meters, so we can substitute these values into the formula:

V = (1/3) × π × (5²) × 6

V = (1/3) × π × 25 × 6

V = (1/3) × π × 150

V = 50π

Therefore, the volume of the figure is 50π cubic meters.

Learn more about the volume of the cone here:

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Grant is making hot dogs for a picnic. Hot dogs come in packages of 8. Hot dog buns come in packages of 12. What is the least number of packages of hot dogs and packages of hot dog buns, can Grant buy so that he has the same number of servings of each?

Answers

Answer:

6 hot dog packages and 4 hot dog buns packages.

Step-by-step explanation:

12 x 4 = 48

8 x 6 = 48

Answer:

3 hot dogs and 2 buns

Step-by-step explanation:

Multiply hot dogs until you get a multiple of 12 for this the lowest common multiple is 24

Complete the table of values for y = 0.5x + 1
can you help? ​

Answers

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

Two planes Intersect in a ___

A. point

B. ray

C. line

D. line segment

Answers

Answer:

C.The answer is line

Step-by-step explanation:

Answer:

If two planes are not parallel or coincident, then their intersection is a line.

Step-by-step explanation:

4+5 4+5 4+5 4+5 ...................

Answers

Answer:

69

Step-by-step explanation:

Answer:

9 9 9 9...................

Step-by-step explanation:

i d k if you meant 54 or 5 and 4

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x, and y.

Answers

Answer:Cy-Cx=10,000

Step-by-step explanation:

Answer:

Cy-Cx=10000

Step-by-step explanation:

6. Factor 4x from 22x2 + 40x 6.​

Answers

6. Factor 4x from 22x2 + 40x 6.​

is that multiply 4x 22x2 +40x6

Answer:

I think that would be 4(71 - ×)

If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are

Answers

Answer:

Speed of boat in still water = 11 miles per hour.

Step-by-step explanation:

Speed = distance / time

or

Distance= Speed * time

Let s be speed of the boat upstream and r be the speed of the river.

Then

Upstream speed=  s- r = 60/6= 10 miles per hour

Downstream speed= s+r= 72/6= 12 miles per hour

Therefore

s-r= 10--------- equation A

s+r= 12--------- equation B

Adding equation A and Eq. b

s-r= 10--------- equation A

s+r= 12--------- equation B    

2s    = 22                            

or

s= 22/2= 11 miles per hour.

Speed of boat in still water = 11 miles per hour.

When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.

A. flip
B. eliminate
C. raise
D. multiply

Answers

Answer:

The correct option is option;

A. Flip

Step-by-step explanation:

When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;

Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;

The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped

Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.

A triangle has angle measurements of 50°, 50°, and 80°. What kind of triangle is it?

Answers

Answer:

I would guess an Acute triangle

Step-by-step explanation

because all 3 sides are under 90 degrees so it cant be a right and its very close in size so its rather acute and if not its Isosceles.

Answer:

acute triangle

Step-by-step explanation:

three angles are under 90°

Write 10^-7 as a fraction

Answers

Answer:

-10000000/1 or 10^-7/1

Step-by-step explanation:

You can divide anything by 1 to make a fraction.

Have a nice day!

which values are solutions to the equation below?

b^2 = 18

select all that apply

A. -√18
B. √324
C. -9
D. √18
E. 9
F. -√324

Answers

Answer:

A , D

Step-by-step explanation:

hello :

b= √18 because : (√18)² =18

b= - √18 because : (-√18)² =18

Yu narukami fight me rigth now⇆⇆π⇒ωω↑ω⊇→→∧∉⇔⇒ππ∠⇄㏑∡⇄⇆→←βαβ∀∀⊅⊄ФФω≅

Answers

Answer:

jvhsucrkchnufecnigtyrnvtdcvhkbubtrddtrthgbnytdfctry

Step-by-step explanation:

how many rectangles can be made with an area of 144cm whose sides are whole numbers? PLSSS Helpp!

Answers

Don’t click on the link!!!
12 x 12
9 x 16
8 x 18
6 x 24
3 x 48
2 x 72
1 x 144
So, 7.

Amir bought 3 2/3 pounds of rice.Owen bought 1 1/2 times as much as Amir.How many pounds of rice did Owen buy?

Answers

Answer:

5.49 pounds

Step-by-step explanation:

Given data

Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds

Owen bought 1 1/2 times  or 1.5 times as much as Amir bought

Hence 1.5 time of 3.66

=1.5*3.66

=5.49 pounds in decimal

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