Between what two consecutive integers does log ₂ 75 lie?

Answers

Answer 1

Answer: The two consecutive numbers are 6 and 7.

Step-by-step explanation:

Here the problem is that the logarithm is not the natural logarithm we usually use, to return to the natural logarithm, we can use the next property:

Logₐ(x) = Ln(x)/Ln(a)

Then:

Log₂(75) = Ln(75)/Ln(2)

Now we can do these calculations.

Ln(75)/Ln(2) = 4.317/0.693 = 6.229

Now we want to find two consecutive integers, n and m, such that:

n < 6.229 < m

Because they are consecutive numbers, we must have:

m = n + 1

then:

n < 6.229 < n + 1

The only possibility here is:

n = 6

n + 1 = 7

The two consecutive numbers are 6 and 7.


Related Questions

Anyone know whats
90-209
+1-23+2046.

Answers

Answer:

1905

Step-by-step explanation:

Plz answer correctly I don’t wanna fail plz answer!!!!!not much!!!!!!!

Answers

i’m pretty sure yes it is

Consider T(h) = 10h, which gives the total money earned, T, after a specific number of hours worked, h. Find h when T(h) = 200.

Answers

Answer:

Number of hours worked = 20 hours

Step-by-step explanation:

Given:

T(h) = 10h

T(h) = 200

Find:

Number of hours worked

Computation:

T(h) = 10h ......eq1

T(h) = 200 ......eq2

eq 1 = eq 2

10h = 200

h = 20

Number of hours worked = 20 hours

Which decimal is equivalent to \dfrac{26}{9} 9 26 ​ start fraction, 26, divided by, 9, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A 2.82.82, point, 8 (Choice B) B 2.\overline{8}2. 8 2, point, start overline, 8, end overline (Choice C) C 2.8892.8892, point, 889 (Choice D) D 2.92.9

Answers

Answer: C. 2.889 .

Step-by-step explanation:

To find : A decimal expression equivalent to [tex]\dfrac{26}{9}[/tex] .

When we divide 26 by 9 , we get 2.88888888889 which is approximately equal to 2.889  [Round off to the nearest thousandth place]

Hence, the decimal is equivalent to[tex]\dfrac{26}{9}[/tex]  is 2.889.

Hence, the correct option is C. 2.889 .

Answer:

2.8 with the _ above the 8 dont listen to that other guy/girl

Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?
A) Square
B) Rectangle
C) Parallelogram
D) Rhombus

Answers

9514 1404 393

Answer:

  D)  Rhombus

Step-by-step explanation:

The diagonals are perpendicular bisectors of each other, but are different lengths. The figure is a rhombus.

Mary works for a company that ships packages and must measure the size of each box that needs to be shipped. Mary measures a box and finds the length is 7 1/2 inches, the width is 14 inches, and the height is 15 inches. What is the volume of the box? [Type your answer as a number.]

Answers

Answer:

7.5 X 14 X 15

l X w X h

answer 1575 cubed inches

A
B
C
D


I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

ΔCBA ≅ Δ BCD

∠A = ∠D = 90°

BC = CB                  {hypotenuse and reflexive property}

BA = CD

D is the answer I swear.

I honestly don’t understand this. Can someone explain/help me with it?

Answers

Answer:

2 - 7 x

Step-by-step explanation:

2 - 7 xOr option three

help por fav vorrrrrr

Answers

Answer:

The slope PV is:

m = -4

Step-by-step explanation:

Given

P(2, 4)V(3, 0)

Determining the slope of PV

(x₁, y₁) = (2, 4)

(x₂, y₂) = (3, 0)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [0 - 4] / [3 - 2]

               = -4 / 1

               = -4

Thus, the slope PV is:

m = -4

Tom used 3/8 of a piece of ribbon for a kite tail. From the remaining 5/8 of the ribbon, he cut pieces to tie weights on the kite tail. Each tie was 1/12 of the whole ribbon. How many times did he cut?

Answers

Answer:

7.5

Step-by-step explanation:

Fraction used for kite = 3/8

Fraction of entire ribbon = 1/1

Fraction left after making kite :

Fraction left = 1 - 3/8 = (8 - 3) / 8 = 5/8

Fraction used as tie = 1/12

Number of ties obtainable from the fraction left :

Fraction of ribbon left ÷ fraction used as tie

5/ 8 ÷ 1/ 12

5/8 * 12 / 1

= 60 / 8

= 7.5

Which answer is it, don’t mind the one I chose please

Answers

The one you chose is correct.
21,21,21 would be an equilateral triangle :)

Help me ASAP

A) 100

B)43

C)180

Answers

Answer :

C:180 is the correct answer

will give brainliest lolo please answer fast
the model below represents the equation x + 4 = 4x + 2
what value of x makes the equation true?

Answers

Answer:

is the answer b

Step-by-step explanation:

sorry wrong

Answer: It's A

Step-by-step explanation: Solve the equation for x and you should get 2/3.

Classify this triangle by its sides and angles.
-right and scalene-
-right and isosceles-
-acute and isosceles-
-acute and scalene-

Answers

Acute and isosceles

help please!

Jonathan buys 400 grams of trail mix that contain 18% cashew nuts. He mixes it with 200 grams of trail mix that contain 7% brainly cashew nuts. How many grams of cashews are in the second mix?

Jonathan buys 400 grams of trail mix that contain 18% cashew nuts. He mixes it with 200 grams of trail mix that contain 7% brainly cashew nuts. How many grams of cashews are in the new, resulting mixture?

Answers

Answer:

69

Step-by-step explanation:

Two times a number added to another number is 25. Three times the first number minus
the other number is 20. Find the numbers.

Answers

x,y = 9,7. Took me a minute to do the math.

On Dolores's tenth birthday her grandfather deposited $35
in a savings account for her. Each year, her grandfather
deposited twice the amount of the previous year's deposit.
How much money did her grandfather deposit on Dolores's
eighteenth birthday?

Answers

Answer: Her grandfather deposited $4480 on Dolores's  eighteenth birthday.

Step-by-step explanation:

Initial amount deposited = $35 (on tenth birthday)

Amount deposited after a year  = 2 x ($35)  (on eleventh birthday)

Amount deposited after 2 years  =2 x( 2 x ($35))  = 2²(35)(on eleventh birthday)

It is following the geometric progression, where a= 35, r= 2 (common ratio)

nth term in GP =[tex]ar^{n-1}[/tex]

Amount deposited on eighteenth birthday (i.e. n=8) = [tex](35)(2)^{8-1}[/tex]

[tex]=35\times2^7=35\times128=4480[/tex]

Hence, Her grandfather deposited $4480 on Dolores's  eighteenth birthday.

The three sides of a triangle are in the ratio 2:4:5. If the perimeter of the triangle is 132 meters long, find the length of the shortest side.

Answers

Answer: The shortest side would be 96 meters long if I understood the question.

Step-by-step explanation:

What is the surface area of a rectangular prism with measurements of 5, 7, and 4?

Answers

Answer:

166

Step-by-step explanation:

A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

A=2(wl+hl+hw)=2·(7·5+4·5+4·7)=166

A = 166

Hope this helps

difference between mixed farming and mixed cropping​

Answers

Mixed farming is where crops and animals are grown and kept on the same piece of land at the same time.On the other hand, mixed cropping, is where different crops are grown at the same time in the same piece of land.

Jane's salary is increased by 3% to £20497.
how much was her salary before the rise?

Answers

Answer:

19882

Step-by-step explanation:

20497  - 3% = 614

20497 - 614 = 19882

Answer:

x=20,095.09

Step-by-step explanation:

Salary after 3% Increment= £20497

Suppose x was her salary before 3% Increment

x+3% of x=£20497

x+0.03x=£20497

1.03x=£20497

x=£20497/1.02

x=20,095.09

Find the x- and y intercepts for each of the following

Answers

y intercept = (0,30) x intercept is (20,0)

Find the sale price.
The original price of an easel is $70. The easel is on sale for 20% off.
The sale price is $

Answers

the correct answer is 56$ because you would multiply 70$ by the 20% (.2) and get 14. then you would subtract 14 from 70 and get 56!

Answer:

$70-$20=$50

Step-by-step explanation:

i know that the sale price is 50 because  it was 70-20 and that =50 So the sale price is $50.

need to solve and graph...show work​

Answers

Answer:

I guess its 19

Step-by-step explanation:

sorry but i don't know i will guess 19

Your welcome

Help from,

M31wwer

What is the line of reflection for the trapezoids?
СЕ
A. x= 3
B. y= 3
C. x- axis
D. y- axis

Answers

The answer is A

because there is no other answer

solve the equation x2-4x+6=0 by completing the square

Answers

Answer:

X= i√2

Step-by-step explanation:

Answer:

x2-4x+6=0

We add all the numbers together, and all the variables

x^2-4x+6=0

a = 1; b = -4; c = +6;
Δ = b2-4ac
Δ = -42-4·1·6
Δ = -8
Delta is less than zero, so there is no solution for the equation

What is 3/4 +3/5 as a mixed number

Answers

Answer:

27 /20 =1 and 7 over 20= 1.35

Step-by-step explanation:

Answer:

1  7/20

Step-by-step explanation: 3/4+3/5 as a mixed number

Well you start by having 3/4+3/5 and then you multiply 5 times 3 which is 15, then you multiply 3 times 4 is 12. Now you multiply the denomerators which are 5 times 4 is 20 so what I did was I switch the number to on each side so the denomerators are 5 and 4 so I just put the 4 on the left side and then I put the 5 on the other side well you do numerator and the denomerator as the same number so you can multiply the numerator and the denomerator as the same on each side but so like this 5/5 * 3/4+3/5*4/4 now you multiply the numerator adn the denomerator anad you get 15/20+12/20 now you just add so 15+12 is 27 and you just leave the denomerator alone so it is 27/20 so now you have to divide. here is a trick up my sleeve you could do the football long  division so you put it like 27/20. So now you have to figure out what can go into 27 with 20 which is 1 so you put that above the division sign and now you subtract 27 and 20 so that gives you 7 now you take that 7 and bring it above the 20 and not you have 7/20 and now you bring it up over and past the 1 and now you have 1 7/20 or you could say as like this one and seven 20 and can't 20th so I just put 20 so don't mind. I hope this is the answer!!

what is 1000 times 4

Answers

Answer: 4000

Step-by-step explanation:

Answer:

its 4000 right

Step-by-step explanation:

1000

x    4

-------

4000

I take out a loan for $120,000 at a 5% interest rate. After how many years will I owe $54,000 in interest?

Answers

Answer:

9 years

Step-by-step explanation:

120 000 times .05 = 6000

54 000 / 6000 = 9

6000 times 9 = 54000

h(w) = -0.5 x 4^w
w = 18

Answers

Answer:

-3.44 times 10^10

Step-by-step explanation:

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