Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log5 13

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

There could be INFINITE possibilities....(you didn't list any choices to choose from)

 here is one to change to base 10

     log5 ( 13)   =   log10 ( 13) / log10 ( 5)  


Related Questions


Find the surface area and lateral surface area of the cylinder. Round your answers to the nearest tenth.
3 yd
Surface area:

Lateral surface area:

Answers

A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Lateral area of the cylinder = Area of the curved surface

                                             = 2πR × H

                                             = 2 × π × 3yd × 6yd

                                             = 36π yd²

                                             = 113.0973 yd² ≈ 113.1 yd²


The total surface area of the cylinder

         = Area of the two bases + Area of the curved surface

         = 2(π × 3²) + 113.0973 yd²

         = 56.54866 yd² + 113.0973 yd²

         = 169.6459 yd² ≈ 169.7yd²

Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

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ristina and Lamar use a ruler and protractor to draw triangles with given conditions. Part A Cristina is asked to construct a triangle with a 45° angle and a 65° angle. How many different triangles could she draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle Part B Lamar is asked to construct a triangle with two angles measuring 45° and 65°, with the side length between those angles 4 centimeters long. How many different triangles could he draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle

Answers

Answer:The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem we have a triangle with a 45 degree angle and a 65 degree angle

so

The measure of the third side must be equal to

The triangle is a 45°-65°-70°

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

I can have as many triangles whose internal angles are congruent and their sides are proportional

therefore

More than one triangle can be drawn with these conditions

Step-by-step explanation:

what is the smallest number when divided by 24 and 12 leaves remainder 12

Answers

Answer:

The smallest number is two 2

i need helpppp with this question

Answers

Answer is 2 look at picture for explanation

Which equation can be simplified to find the inverse of y = x2-7? ​

Answers

inverse function x = y^2 - 7

EASY POINTS
NEED HELL ASAP WIT THIS

Answers

Answer:

5

Step-by-step explanation:

You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.

In how many years will $7000 yield an interest of $4620 at 22% simple interest?

Answers

Answer:

3 Years

Step-by-step explanation:

7000*22% = 1540

4620/1540 = 3

1540 = the yearly interest

so it will take 3 years of $1540 of interest to get $4620.

Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.

hope this helped

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?

Answers

Based on the segment addition postulate, the length of GH is: 4 units.

What is the Segment Addition Postulate?

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

FG = 2 unitsFI = 7 unitsHI = 1 unitGH = ?

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

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Answer:

B- 4 units

Step-by-step explanation:

One Solution
No Solutions
Infinitely Many Solutions

2+y=3
−2x − y = −6

Answers

Answer:

it is -6. . . . . . . . . . . . . . . . .. ... . . . . . . .

Triangle ABC is defined by the points A(2,9), B(8,4), and ((-3,-2).
Complete the following equation for a line passing through point C and perpendicular AB.

Answers

The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

The slope of the segment AB:

[tex]\rm m =\dfrac{4-9}{8-2}[/tex]

m = -5/6

The slope of the line perpendicular to AB:

Let M is the slope of the line:

mM = -1

(-5/6)M = -1

M = 6/5

The line:

y = Mx + c

y = (6/5)x + c

The line passing through the point C(-3, -2)

-2 = (6/5)(-3) + c

c = 8/5

y = (6/5)x + 8/5

5y = 6x + 8

Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

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What’s the second step to solving 2x-4=26

Answers

Answer:

The second step is to isolate the variable by multiplication or division

Step-by-step explanation:

so it should be solving the x

Answer:]

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

:]   Correct me if i'm wrong  :]

What is the simple interest on N450 for 2 years at 3%?

Answers

Answer:

Simple Interest = PTR/100

P=450

T=2

R=3%

Simple Interest = PTR/100

=450×2×3\100

=27

Hence the interest is 27.

Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m<ABC​

Answers

Answer: [tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.

[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]

This means that:

[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]

As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]

Find cos 20 if theta is in the first
quadrant and tan 0 = 40/9

Answers

If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan θ = 40/9

tan θ = 4.444

Then the angle θ will be

θ = tan⁻¹(4.444)

θ = 77.32°

Then the value of cos 2θ will be

cos 2θ = cos (2 x 77.32°)

cos 2θ = cos 154.64°

cos 2θ = - 0.9036

cos 2θ ≅ - 0.90

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Problem #2
Using the perpetual inventory system, journalize the entries for the following transactions:
a) Sold merchandise on account for $12,000, terms 1/10, n/30. The cost of the merchandise sold was $6,500.
b) Sold merchandise on account for $9,500 to customers who used a VISA card. The cost of the merchandise sold was
$5,300.
c) The customer in a) returned merchandise which was sold for $1,000 and that we had purchased for $780.
d) Purchased merchandise on account for $8,500, credit terms 1/15, n 45, FOB destination. The appropriate company paid
the Freight costs of $500.

Answers

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

How to depict thejournal?

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

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(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55. Which statement best describes how accurate she can expect her prediction to be? Her prediction will probably be close to the actual value. Her prediction will be unlikely to be close to the actual value. Her prediction will be somewhat likely to be close to the actual value. Her prediction will very likely be close to the actual value.

Answers

A correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

What is correlation coefficient?

The correlation coefficient shows the relationship between two variables. It can be used to describe how to variables increase or decrease.

Thus, a correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

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The bearing
of P from Q is 0.60°. What is the bearing
of Q from P

Answers

Answer:

MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm

Step-by-step explanation:

A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

A dartboard consists of a circle inscribed in a square.

Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3.14 for π.

22%
25%
75%
79%

Answers

The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A dartboard consists of a circle inscribed in a square.

The area of the square is 64 square inches.

We know the area of the square:

A = a²

a is the side of the square.

64 = a²

a = 8 inches

As the circle inscribed in a square.

The diameter will be 8 inches

The radius of the circle r = 8/2 = 4 inches

Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches

P(dart will land on circular dartboard) = 50.24/64 = 0.785

P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215

or

P(dart will not land on circular dartboard) = 21.5% ≈ 22%

Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

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Answer:

22%

Step-by-step explanation

Edge.2023!

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket ?

Answers

Problem:

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket?

Solution:

60% of $13.50 is 0.6*13.50 = 8.10

Cut this figure in half to get 8.10/2 = 4.05

So the cost of each ticket was $4.05

Answer:

The cost of each ticket is $4.05.

학습을 계속하다

CHARLES' LAW CALCULATION.

Answers

1.The temperature will be, T2= 169.8 K

2. The volume if the temperature is 318 K is 0.170 L

What is Charles Law?

Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.

Given: V1= 250 ml=0.25L

V2=150 ml= 0.15 L

T1= 10 °C=283 K, T2=?

Now using Charles law

V1/T1=V2/T2

0.25/283=0.15/T2

T2= 169.8 K

2. T1= 20 °C= 293 K

    V1= 160 cm³

     T2= 318 K

     V2=?

Using Charles Law,

V1/T1=V2/T2

0.16/293=V2/313

0.170 L=V2

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A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.

Answers

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

[tex]p = \frac{10}{435}[/tex]

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

[tex]P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}[/tex]

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EN=NG, which of the following statements CANNOT be true? F M E R NP Q A. MN is a perpendicular bisector. OB. FM = MG O C. Pis a midpoint. O D. MN is a midsegment. G



help dawg ​

Answers

Answer:A. MN is a perpendicular bisector.
Hope that helps

Step-by-step explanation:

AB = 10 in; AD = 6 in

A=

30sqrt3 in2
30 in2
60 in2

Answers

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].

However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].

So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]

a circular garden has a diameter of 12 yards whag is the area of the garden use 3.14

Answers

Step-by-step explanation:

the area of a circle is

pi × r²

r is the radius (= half of the diameter) of the circle.

radius in our car is 12/2 = 6 yd

and we are to use 3.14 as pi.

so we get as area

3.14 × 6² = 3.14 × 36 = 113.04 yd²

Which of the following are exterior angles? Check all that apply.
A. <4
B. <1
C. <5
D. <2
E. <3
F. <6


All of the ppl that answered this for it wrong, it is <6!! ( < = angle)

Answers

The answer is -F.&It;6

After a 35% reduction, you purchase a new television for $136.5. What was the price of the television before the reduction?

A) First write an equation you can use to answer this question.
B) Solve your equation in part [A] to find the original price of the television.

Answers

Answer:

See Below

Step-by-step explanation:

35% off means you pay 65%

  sooo   A)   .65 x = 136.50   where x = original price

              B)         x = 136.50/.65 = $210 original price

         

pls help me with 5,6,7,8,9,10,11.Its 7th grade maths i really need help.I'll
also give brainliest ​

Answers

The missing areas and dimensions of the given squares, rectangles, and triangles are:

2. 36 cm²

3. 21 cm²

4. 9 cm²

5. 5 cm

6. 10 cm

7. 4 cm

8. 8 cm

9. 7 cm

10. 7

11. 10

What is the Area of a Square, Rectangle, and a Triangle?

Area of a square = s²

Area of a rectangle = (length)(breadth)

Area of a triangle = 1/2(base)(height).

2. Area of square = s² = 6² = 36 cm².

3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².

4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².

5. Area of a rectangle = (length)(breadth)

60 = (12)(breadth)

Breadth = 60/12

Breadth = 5 cm.

6. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = (35)(2)/7

Height = 10 cm

7. Area of a square = s²

16 = s²

s = √16

s = length = 4 cm

8. Area of a triangle = 1/2(base)(height)

40 = 1/2(10)(height)

Height = 40/5

Height = 8 cm.

9. Area of a square = s²

49 = s²

s = √49

s = length = 7 cm

10. Area of a rectangle = (length)(breadth)

84 = (12)(breadth)

Breadth = 84/12

Breadth = 7 cm.

11. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = 70/7

Height = 10 cm.

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I need help with this

Answers

Answer:

1. obtuse angle

2. Right angle

3. Adjacent angle

4. Supplementary angle

5. Acute angle

6. Straight line

7. Complementary angle

8. Vertical Angle

9. linear

10. Vertex

Step-by-step explanation:

1. Obtuse angle are angle that measures greater than 90 degree but less and 180 degree

2. Right angle are angle that measures exactly 90 degree

3. Adjacent angle are angles that has a common vertex and share a common side

4. Straight angle is a pair of angle whose sum is 180 degree.

5. Acute angle is an angle greater than 0 degree but less than 90 degree

6. straight line measure exactly 180 degree

7. Complementary angle is a pair of angle whose sum is 90 degree.

8. Vertical Angle is a pair of angle made by intercepting lines with congruent opposite side

9. Linear is a pair of adjacent, supplementary angles.

10. Vertex is an common end point that two rays meet to form an angle.

Evaluate 1/2 X (6 X 4)÷3 + 2 show your work to find the answer pls hurry

Answers

So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8

To answer the question, we must use the rules of arithmetic in mathematical operations

What are mathematical operations

Mathematical operations are operation which include

addition, subtraction, multiplication and division.

Rules of arithmetic in mathematical operations

In arithmetic, we follow the rule PEMDAS where

P - parentheses E - exponents M - multiplication D - division A - addition and S - subtraction

So, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.

So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2

= 12 ÷ 3 + 2

= 6 + 2

= 8

So,  1/2 × (6 × 4) ÷ 3 + 2 = 8

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HELP ASAP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Remark

This is a proportion question. A proportion is 2 equal ratios that requires you to solve the 4th part when you know the other 3.

Givens

1 foot scale model length

5 feet of actual length

x = length of model

65 feet of actual length

Formula

1 foot / 5 feet = x / 65 feet

Solution

1/5 = x / 65                          Cross multiply

5x = 65                                Divide by 5

5x/5 = 65/5

x = 13

Answer

The model is 13 feet long

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