Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(300).

Answers

Answer 1

Answer:

4.1145

Step-by-step explanation:

You can use the following formula to solve this kind of problems,

[tex] log_{a}(b) + log_{a}(c) = log_{a}(bc) [/tex]

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

[tex] log_{4}(300) = log_{4}(4 \times 5 \times 3 \times 5) \\ = log_{4}(4) + log_{4}(5) + log_{4}(3) + log_{4}(5) \\ = 1 + 1.1610 + 0.7925 + 1.1610 \\ = 4.1145[/tex]


Related Questions

Enter the equation of the following using line in slope-intercept form. slope = 3; y-intercept is -3​

Answers

Answer:

y=3x-3

Step-by-step explanation:

slope intercept form is y=mx+b

you are given m as 3 and b as -3

so substitute

y=3x-3

I need help ASAP whit this question

Answers

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

What is the product?

Answers

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]

Now again multiplying these two expressions

[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]

Simplifying this we get,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

Hence,

The product of the given expression is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ4

Let me know the answer fast

Answers

Step-by-step explanation:

[tex]a) \\ thank \: you[/tex]

Write 0.2 repeating as a fraction in simplest form.

Answers

0.2 Repeating Decimal is 2/9 as a Fraction

Answer:

2.9

Step-by-step explanation:

We let 0.2 be x.

Since x is recurring in 1 decimal places, we multiply it by 10.

10x = 2.2

Next, we subtract them.

10x - x = 2.2 - 0.2

9x = 2

Lastly, we divide both sides by 9 to get x as a fraction.

Answer: x = 2.9 or 2/9.

Mrs. Harris treated her 1st period with donuts for averaging the highest on the midterm exam. She bought 25 donuts, By the end of the period, there were 3 donuts remaining. What is the percent decrease?

Answers

Answer:

join me on no comments yet the story is about to the turf and a bagane and pinni geting step by step explanation friendship is not working properly and the story of a y I have a mantra and sister about your self and the story of the story is a bagane unda and the story and the portion of the story of the story of the story is about the event of a y you know if

Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. What is the probability of drawing one slip of paper from the hat at random and getting a vowel?

Answers

Answer:

5/26 chance because there is only five vowels in the alphabet

Answer:

Not counting y as a vowel: 5/26  or a  19.23% chance

Step-by-step explanation:

There are a total of 26 letters in the alphabet.

There are 5 vowels (a, e, i, o, u)

Picking a vowel has a 5 in 26 chance of occurring.

1. Find the value of x in the figure.
(1 point)
40°
O 40°
O 50°
O 140°
O 180°

Answers

Answer:

the value of x = 40

I hope it's helps you

Answer:

[tex]x = 40 \\ \\ [/tex]

it's vertical angel they are equal each other ( = )

what are the solution set of Z^2 +(2i-3)Z+5i=0

Answers

Answer:

z=  2 - 3i

      1 + i

Step-by-step explanation:

I'm not sure but hope it helps.

The trolley rolled at a rate of 10 feet per second how far does it go in a minute

Answers

9514 1404 393

Answer:

  600 feet

Step-by-step explanation:

There are 60 seconds in a minute, so the trolley travels 60 times as far as it does in one second.

  (60 seconds/minute) × (10 feet/second) = 600 feet/minute

The trolley goes 600 feet in a minute.

Convert 15° to seconds.
(Remember, 1 degree = 60 minutes, 1 minute = 60 seconds)

Answers

Answer:

15 degree = 54,000 seconds

Step-by-step explanation:

15*60*60

Find the measure on z.

Answers

Answer:

z° = 135°

Step-by-step explanation:

The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.

I hope I helped you^_^

When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of ______ employees

Answers

Answer: 675

Step-by-step explanation:

Since the starting amount of employees is 500 we can say that 100%=500.

Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.

To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.

Therefore, they now have a total of 675 employees.

I need to know the distance between points x and y

Answers

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

Thr area of a square is 36 centimeters what is the length of each square

Answers

Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

plsss asap right nooooow

Answers

Answer:

[tex]\sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]

[tex]\sf 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]

[tex]\sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}[/tex]

[tex]\sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}[/tex]

[tex]\sf 12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]

Step-by-step explanation:

Perimeter of a rectangle

Perimeter = 2(width + length)

Given information:

  [tex]\textsf{width} = 3\sqrt{8}[/tex]

  [tex]\textsf{length} = 4\sqrt{20}+2\sqrt{24}[/tex]

Equivalent Expression 1

Substitute the given information into the formula:

[tex]\sf Perimeter = 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]

Equivalent Expression 2

Using the distributive property law, this can also be written as:

[tex]\sf Perimeter = 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]

Equivalent Expression 3

Distribute the parentheses and simplify the radicals:

[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\& = \sf 6\sqrt{4 \cdot 2}+8\sqrt{4 \cdot 5}+4\sqrt{4 \cdot 6}\\& = \sf 6\sqrt{4}\sqrt{2}+8\sqrt{4}\sqrt{5}+4\sqrt{4}\sqrt{6}\\& = \sf 6 \cdot 2 \sqrt{2}+8 \cdot 2 \sqrt{5}+4 \cdot 2 \sqrt{6}\\& = \sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}\end{aligned}[/tex]

Equivalent Expression 4

Distribute the parentheses and rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :

[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\ & = \sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}\end{aligned}[/tex]

Equivalent Expression 5

Rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :

[tex]\sf Perimeter=12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]

Find two given numbers in a given ratio such that the sum of their squares is to their difference in a given ratio. Ratios being 3 : 1 and 10 : 1.

Answers

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

which choice is equivalent to the expression below? √40 + 2√10 + √90

Answers

Answer:

2√10 + 2√10 + 3√10 =7√10

Step-by-step explanation:

√40=√10×4 =√10×√4 = 2√10

√90= √10×9 = √10×√9 =3√10

PLS HELPPPPPPPPPppppppp

Answers

collinear mean the point are lie on the same line.
H,A and S
H,D and S
Y, D and T
All correct

P, H and A not lie on the same line (not collinear)

Solve
E(-6, 5), F(3, -3)

Answers

y=4th qrd -6 ¡5 f= 3rd qrd 3 and ¡3

Round 23,839 to the nearest thousand

Answers

Answer:

24, 000

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

24000

Step-by-step explanation:

instead of 20000 you've got to round the no before it then you'll know your answer as 24000

phương trình vi phân tuyến tính cấp 1: xy' - 2y = 2x^4

Answers

Answer:

.........................

Step-by-step explanation:

............................................................................

-4x + 3x = 2
What is x

Answers

X = -2 is the answer
The answer is -2.
-4x + 3x = -1x
-1x = 2
x = -2

Sam opened a restaurant. On the first day he had 100 customers. On the fourth day he had 160 customers. If the number of customers per day grew linearly, what was the number of customers on the second day?

Answers

Answer:

120 customers on the 2nd day

Step-by-step explanation:

100/1ST DAY

120/2nd day

140/3rd day

160/ 4TH DAY

a farmer enough to last his 40 cattle for 35 days'if he bays more cattle how long can the same food last?consider the cattle finish the feed at the same rate

Answers

Answer:

this is unclear

Step-by-step explanation:

yoy miss typed

HELP!
10. Bill and Kate dined at a restaurant, and their bill was $49.98. They would like to leave a tip of
approximately 15% of their bill. Which of the following is the closest to this amount?
D. $12.50
E. $15.00
C. $10.00
A. $5.00
B. $7.50

Answers

Answer:

7.50$

Step-by-step explanation:

49.98÷100=0.4998=1%

0.4998×15= 7.497 which is 15%of their bill

Drag each tile to the correct box.
Using the order of operations, what are the steps for solving this expression?

40=8+32 +(15–7)x2

Arrange the steps in the order in which they are performed.

3 “squared”

15-7

14 +16

40:8

8x2

5+9

Answers

Answer:

15 - 7 (Parentheses)3² (Exponents)8 × 2 (Multiplication)40 ÷ 8 (Division)5 + 9 (Addition starting from the leftmost)14 + 16 (Addition after the first addition operation)

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

Compare with >, < 12.6 and 12.3​

Answers

Answer:

12.6>12.3

Step-by-step explanation:

Peter pay $79.80 for returning a bicycle for 6 hours, what was the rate per hour​

Answers

Answer:

13.3 hrs

Step-by-step explanation:

$79.80/6 = 13.3 hrs

The rate per hour is 13.3 hrs

Answer:

$13.3 per hour

Step-by-step explanation:

for 6 hour the cost is $79.80

for 1 hour the cost is $79.80/6

$13.3 per hour

Add or Subtract: show all written work 30 POINTS!!

Answers

Answer:

I hope it helped U

stay safe stay happy

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